diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/0SgUfAugAm0.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/0SgUfAugAm0.srt
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@@ -0,0 +1,3171 @@
+1
+00:00:05,250 --> 00:00:08,710
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,710 --> 00:00:12,570
+وبركاته اليوم هنستكمل محاضراتنا في مادة نظرية
+
+3
+00:00:12,570 --> 00:00:16,810
+الآليات اليوم سيكون chapter جديد بعنوان الآليات
+
+4
+00:00:16,810 --> 00:00:18,410
+البسيطة simple mechanisms
+
+5
+00:00:21,550 --> 00:00:29,110
+يعني هنبدأ المحاضرة بتقديم بسيط للآليات أو ال
+
+6
+00:00:29,110 --> 00:00:33,490
+mechanisms أو ال linkages الموجودة بكثرة في المعدات
+
+7
+00:00:33,490 --> 00:00:38,710
+و الآلات سواء كانت معدات ثقيلة أو خفيفة، نجدها في ال
+
+8
+00:00:38,710 --> 00:00:41,470
+... ال ... ال mechanisms في ال ... في ال engine  بتاع
+
+9
+00:00:41,470 --> 00:00:44,630
+السيارة، أن ال slider crank mechanism في مكاين
+
+10
+00:00:44,630 --> 00:00:51,550
+الخياطة، في ... في ... في معدات النفط، متوفرة ...
+
+11
+00:00:51,550 --> 00:00:55,810
+موجودة كثيراً، وفي كثير من المعدات، وبالتالي دراستها
+
+12
+00:00:55,810 --> 00:01:01,470
+بشكل مفصل وعميق أصبح ضرورة من أجل تصميمها
+
+13
+00:01:01,470 --> 00:01:06,380
+بطريقة سليمة وطريقة لائقة بما يحقق الهدف من هذه
+
+14
+00:01:06,380 --> 00:01:11,580
+الآلية وبما يحقق إنتاجها وتصنيعها بأقل التكاليف
+
+15
+00:01:11,580 --> 00:01:22,080
+الآن هنبدأ نعرف بعض التعريفات، الآن، أيّه لو أخذنا آلية
+
+16
+00:01:22,080 --> 00:01:31,240
+زي هذه، هل
+
+17
+00:01:31,240 --> 00:01:31,840
+يسمى slider
+
+18
+00:01:34,880 --> 00:01:42,120
+crank mechanism  آلية
+
+19
+00:01:42,120 --> 00:01:55,940
+أخرى لها
+
+20
+00:01:55,940 --> 00:02:00,540
+اسم four bar mechanism
+
+21
+00:02:07,960 --> 00:02:12,320
+اللحظة، أي آلية مكونة من مجموعة من ال elements أو
+
+22
+00:02:12,320 --> 00:02:17,600
+ال links، يعني هذه أسميها ال link، هذه ال link الأرضية،
+
+23
+00:02:17,600 --> 00:02:22,320
+link ثابتة، هذه واحد، اثنان، ال crank link، ال
+
+24
+00:02:22,320 --> 00:02:26,600
+connecting rod، ال link، ال ... ال slider link، يعني
+
+25
+00:02:26,600 --> 00:02:31,920
+الآلية مكونة من أربعة links، ال four، بقى أيضاً عندي
+
+26
+00:02:31,920 --> 00:02:39,260
+الأرضية link ثابتة، link كرنك، link اثنان connecting
+
+27
+00:02:39,260 --> 00:02:45,740
+رود link ثلاثة، ال follower link أربعة، ف أي آلية
+
+28
+00:02:45,740 --> 00:02:50,340
+مكونة من مجموعة من الأعضاء أو العناصر أو الواصلات
+
+29
+00:02:51,650 --> 00:02:54,490
+معنى، لو كنا نعرف ال ... ال ... في عندي kinematic link
+
+30
+00:02:54,490 --> 00:02:57,970
+أو element، each part of a machine، هذا ... this is
+
+31
+00:02:57,970 --> 00:03:00,830
+part of a machine which moves related to some
+
+32
+00:03:00,830 --> 00:03:04,630
+other part، يعني ال link اثنان يتحرك بالنسبة للأرضية
+
+33
+00:03:04,630 --> 00:03:07,030
+و الثلاثة يتحرك بالنسبة للثانية، و الأرضية يتحرك
+
+34
+00:03:07,030 --> 00:03:08,550
+بالنسبة للثلاثة، و الأرضية يتحرك بالنسبة لل ... يعني
+
+35
+00:03:09,310 --> 00:03:12,310
+Each link has a relative motion with respect to
+
+36
+00:03:12,310 --> 00:03:16,870
+other parts in the mechanism، نفس الأشياء، link 2
+
+37
+00:03:16,870 --> 00:03:21,130
+تتحرك بالنسبة ل 1، و link 3 تتحرك بالنسبة ل 2، و 4
+
+38
+00:03:21,130 --> 00:03:25,630
+تتحرك بالنسبة ل 1، و 4 تتحرك بالنسبة ل 3، ففي اللي
+
+39
+00:03:25,630 --> 00:03:29,250
+هي ال link أو ال kinematic link، هي part of a
+
+40
+00:03:29,250 --> 00:03:32,330
+machine which moves relative to some other part in
+
+41
+00:03:32,330 --> 00:03:38,130
+the machine، في عندي ما يسمى resistance body
+
+42
+00:03:38,130 --> 00:03:43,050
+resistance body، يعني الجسم المقاوم، ال resistance
+
+43
+00:03:43,050 --> 00:03:47,010
+body اللي بيكون قادر على نقل القوة بدون ما يصير
+
+44
+00:03:47,010 --> 00:03:50,110
+فيه أي تشوهات، أو بدون ما يصير فيه أي deformation
+
+45
+00:03:50,110 --> 00:03:52,590
+معناه أن ال resistance body is capable of
+
+46
+00:03:52,590 --> 00:03:56,010
+transmitting forces with no deformation
+
+47
+00:03:59,070 --> 00:04:02,610
+ال link، احنا حكينا الميكانيزم تتكون من مجموعة links
+
+48
+00:04:02,610 --> 00:04:08,550
+link 1، link 2، link 3، link 4، ال link لها خاصيتان، ال
+
+49
+00:04:08,550 --> 00:04:13,480
+link has two characteristics، أول شيء it should have
+
+50
+00:04:13,480 --> 00:04:17,400
+relative motion with respect to other links، يعني
+
+51
+00:04:17,400 --> 00:04:19,560
+ال link هذه لازم يكون لها حركة بالنسبة لل links
+
+52
+00:04:19,560 --> 00:04:24,320
+الأخرى، فهي رقم واحد، اثنان، it must be a resistant
+
+53
+00:04:24,320 --> 00:04:27,160
+body، لازم يكون resistant body، يعني ما لازم يصير
+
+54
+00:04:27,160 --> 00:04:33,140
+فيه أي انحنقات أو أي تشوهات خلال الحركة، يعني لازم
+
+55
+00:04:33,140 --> 00:04:38,400
+يكون فيها no deformation، هيكون rigid، معناته a link
+
+56
+00:04:38,400 --> 00:04:41,520
+should ... أو a link has two characteristics، أول
+
+57
+00:04:41,520 --> 00:04:44,260
+شيء it should have relative motion with respect to
+
+58
+00:04:44,260 --> 00:04:48,500
+other links، اثنان it must be a resistant body
+
+59
+00:04:48,500 --> 00:04:51,900
+الوصلات
+
+60
+00:04:51,900 --> 00:04:59,380
+في أنواع من ال links، في عندي rigid link زي هذه
+
+61
+00:04:59,380 --> 00:05:06,160
+عندي rigid link، عندي rigid link، Rigid link does
+
+62
+00:05:06,160 --> 00:05:09,780
+not undergo any deformation while transmitting
+
+63
+00:05:09,780 --> 00:05:15,640
+motion، هذا ال link لا يتغير في أبعاده أو شكله
+
+64
+00:05:15,640 --> 00:05:20,480
+خلال نقل الحركة، ال link ثلاثة ما بيصير تغير في
+
+65
+00:05:20,480 --> 00:05:25,940
+أبعاده ولا تغير في شكله خلال نقل الحركة، أسميها
+
+66
+00:05:25,940 --> 00:05:32,760
+rigid، rigid link، عندي flexible link، flexible link
+
+67
+00:05:32,760 --> 00:05:39,490
+بيصير partial deformation بطريقة بحيث ما تؤثر على
+
+68
+00:05:39,490 --> 00:05:45,210
+الحركة، يعني لو أنا عندي عند هاي pulley هنا بكرة و في
+
+69
+00:05:45,210 --> 00:05:51,110
+pulley  أخرى هنا
+
+70
+00:05:51,110 --> 00:05:58,170
+مركز ال pulley هذه، هذا مركز ال pulley هذه، عند الأرضية
+
+71
+00:05:58,170 --> 00:06:08,210
+واحد، link رقم واحد، ال pulley هذه رقم اثنان، و الحبل
+
+72
+00:06:08,210 --> 00:06:16,830
+رقم ثلاثة، و هذه ال pulley رقم أربعة، لاحظوا
+
+73
+00:06:16,830 --> 00:06:19,830
+ال link، ال link اثنان و ال link أربعة ال rigid
+
+74
+00:06:19,830 --> 00:06:24,650
+links ما بتتغير شكلها ولا حجمها خلال الحركة، ال link
+
+75
+00:06:24,650 --> 00:06:25,810
+ثلاثة اللي هو الحبل
+
+76
+00:06:30,220 --> 00:06:35,300
+بيتغير شكله، لأنه بيصير هنا يلف حول البكرة، بيتغير
+
+77
+00:06:35,300 --> 00:06:38,100
+يعني بيصير فيه deformation، هو يلف بيكون يطّوج، يلف
+
+78
+00:06:38,100 --> 00:06:41,800
+معه، لكن ما بيأثر على الحركة، الحركة بين اثنان و
+
+79
+00:06:41,800 --> 00:06:47,780
+أربعة ما بتتأثر بالتغير بالشكل أو بال deformation
+
+80
+00:06:47,780 --> 00:06:52,120
+اللي بيصير بال link ثلاثة، النوع الثاني من ال links
+
+81
+00:06:52,120 --> 00:07:00,350
+اللي هي ال fluid link، ال fluid link يتم نقل الحركة
+
+82
+00:07:00,350 --> 00:07:07,190
+بين الأعضاء الميكانيكية من خلال سائل أو غاز، يعني
+
+83
+00:07:07,190 --> 00:07:16,290
+نأخذ مثال بسيط، عندي
+
+84
+00:07:16,290 --> 00:07:21,550
+هنا مكبس و
+
+85
+00:07:21,550 --> 00:07:24,210
+عندي هنا أيضاً مكبس صغير
+
+86
+00:07:29,350 --> 00:07:41,210
+و في بينهما فئة سائل، زيت بينهما
+
+87
+00:07:41,210 --> 00:07:45,030
+زيت، و
+
+88
+00:07:45,030 --> 00:07:55,830
+بينهما piston و بينهما piston، يضغط
+
+89
+00:07:55,830 --> 00:08:03,350
+ب force على ال piston هذا، F1، ال piston هذا سيضغط ال
+
+90
+00:08:03,350 --> 00:08:09,590
+fluid، الفلُويد سيطلع ال piston الثاني لأعلى، يعني
+
+91
+00:08:09,590 --> 00:08:13,490
+إذا ال piston رقم واحد نزل، ال piston الثاني يطلع
+
+92
+00:08:14,710 --> 00:08:19,750
+لأن واضح أن هذا this is fluid، this is rigid link
+
+93
+00:08:19,750 --> 00:08:22,830
+and this is rigid link، انتقلت الحركة من هذا ال
+
+94
+00:08:22,830 --> 00:08:27,050
+piston لهذا ال piston من خلال الزيت، الزيت في
+
+95
+00:08:27,050 --> 00:08:30,850
+هذه الحالة يسمى وصلة مائعة، وصلة مائعة اللي هي
+
+96
+00:08:30,850 --> 00:08:36,460
+ممكن تكون سائل أو غاز، معناته ال links تيجي على ثلاث
+
+97
+00:08:36,460 --> 00:08:39,720
+أنواع، ال rigid link اللي ما بيصيرش فيها تغير في
+
+98
+00:08:39,720 --> 00:08:44,360
+الشكل أو الأبعاد خلال نقل الحركة، النوع الثاني ال
+
+99
+00:08:44,360 --> 00:08:48,520
+flex link اللي بيصير فيها deformation خلال
+
+100
+00:08:48,520 --> 00:08:51,320
+نقل الحركة بطريقة بحيث ما تؤثر على الحركة
+
+101
+00:08:51,320 --> 00:08:55,760
+الإجمالية للميكانيزم، زي حالة ال ... ال ... ال ... ال
+
+102
+00:08:55,760 --> 00:08:59,640
+pulleys، النوع الثاني ال fluid link، ال fluid link يعني
+
+103
+00:08:59,640 --> 00:09:02,600
+بيصير نقل الحركة من خلال ال fluid
+
+104
+00:09:05,710 --> 00:09:10,050
+زي فكرة اللي هو ال jack بتاع السيارة أو ال
+
+105
+00:09:10,050 --> 00:09:17,690
+hydraulic cylinders في الآليات الثقيلة، لأ
+
+106
+00:09:17,690 --> 00:09:23,400
+أنا الحمد لله، تعرّفنا على الهيكل والآليات، فين دي ما يسمى
+
+107
+00:09:23,400 --> 00:09:28,660
+structure، هيكل ال structure عبارة عن مجموعة من ال
+
+108
+00:09:28,660 --> 00:09:33,280
+resistant bodies having no relative motion among
+
+109
+00:09:33,280 --> 00:09:36,120
+them and meant for carrying loads، ال structure
+
+110
+00:09:36,120 --> 00:09:42,800
+بيكون عبارة عن القطع أو الأجزاء اللي ما بتتحرك وما
+
+111
+00:09:42,800 --> 00:09:47,860
+بيصير فيها deformation، والهدف منه حمل الأحمال
+
+112
+00:09:47,860 --> 00:10:05,700
+الأحمال، يعني ما تشوفه، معرّش هذا
+
+113
+00:10:05,700 --> 00:10:06,340
+عبارة عن structure
+
+114
+00:10:09,390 --> 00:10:13,310
+ال structure ما بنقل حركة، ال structure الهدف منه
+
+115
+00:10:13,310 --> 00:10:20,950
+أن يشيل الأحمال فقط، it does not transform motion
+
+116
+00:10:20,950 --> 00:10:24,670
+أمثلة
+
+117
+00:10:24,670 --> 00:10:29,390
+أخرى عن ال structures، لو
+
+118
+00:10:29,390 --> 00:10:35,360
+بدنا نعمل مقارنة بين ال structure و ال machine، في
+
+119
+00:10:35,360 --> 00:10:41,200
+ال structure، الأجزاء ثابتة، parts move parts، في ال
+
+120
+00:10:41,200 --> 00:10:44,720
+machine، الأجزاء تتحرك بالنسبة لبعضها، parts move relative to one another، في ال
+
+121
+00:10:44,720 --> 00:10:48,040
+machine، الأجزاء بتاعة الماكينة تتحرك بالنسبة لبعضها
+
+122
+00:10:48,040 --> 00:10:51,860
+في ال structure، ال parts ما بتتحرك بالنسبة لبعضها
+
+123
+00:10:51,860 --> 00:10:57,600
+ثابتة، في ال machine، we transform a value of energy
+
+124
+00:10:57,600 --> 00:11:01,440
+into useful work، بنحول الطاقة الموجودة على شكل على
+
+125
+00:11:01,440 --> 00:11:07,200
+شكل شغل مفيد، يعني عندي كهرباء مثلاً، أحولها لحركة، أو
+
+126
+00:11:07,200 --> 00:11:14,320
+عندي حركة أحولها لكهرباء، أو عندي حركة هواء أحولها
+
+127
+00:11:14,320 --> 00:11:19,680
+لحركة دورانية، فأنا أحول الطاقة الموجودة عندي لشغل
+
+128
+00:11:19,680 --> 00:11:24,070
+مفيد، في ال ... في ال structure، no energy is
+
+129
+00:11:24,070 --> 00:11:27,650
+transformed into useful work، ما صار تحويل لأي شكل، و
+
+130
+00:11:27,650 --> 00:11:31,750
+أشكال الطاقة، عندي هيكل بيشيل الأحمال فقط، ال machine
+
+131
+00:11:33,120 --> 00:11:36,420
+ال links may transmit both power and motion، ال
+
+132
+00:11:36,420 --> 00:11:40,320
+links ... الوصلات بتاعة أو أجزاء الماكينة بتنقل ال
+
+133
+00:11:40,320 --> 00:11:44,960
+... ال power، قدرة، يعني، و ... و ... and motion، زيادة
+
+134
+00:11:44,960 --> 00:11:48,200
+forces، في ال structure، parts of a structure
+
+135
+00:11:48,200 --> 00:11:51,060
+transmit forces only، في ال structure أو الهيكل
+
+136
+00:11:51,060 --> 00:11:55,620
+الأجزاء بتنقل ال forces من جزء لجزء فقط، ما في أي
+
+137
+00:11:55,620 --> 00:11:56,060
+حركة
+
+138
+00:12:00,860 --> 00:12:06,680
+في عندي ال pair، ال pair، two links of a machine in
+
+139
+00:12:06,680 --> 00:12:10,200
+contact with each other، يعني نرجع على ال slotted
+
+140
+00:12:10,200 --> 00:12:23,700
+crank هذه
+
+141
+00:12:23,700 --> 00:12:29,000
+link واحد، link اثنان، link ثلاثة، link أربعة
+
+142
+00:12:32,930 --> 00:12:35,650
+عندي link واحد و link اثنان، they are in contact
+
+143
+00:12:35,650 --> 00:12:39,290
+with each other، معناته هدول pair، واحد، اثنان، pair
+
+144
+00:12:39,290 --> 00:12:42,750
+زوج، عندي link اثنان ثلاثة بينهم contact عند ال
+
+145
+00:12:42,750 --> 00:12:47,390
+joint، هذا معناته هدول بسميهم pair، ثلاثة وأربعة
+
+146
+00:12:47,390 --> 00:12:51,530
+عندهم contact عند ال joint، هذا بسميهم أيضاً pair
+
+147
+00:12:51,530 --> 00:12:56,290
+أربعة وواحد، they are، we have sliding بين أربعة و
+
+148
+00:12:56,290 --> 00:13:00,930
+واحد، معناته أربعة وواحد they are a pair، عندي هنا
+
+149
+00:13:00,930 --> 00:13:02,210
+four pairs
+
+150
+00:13:07,880 --> 00:13:11,180
+الآن بدي أعرف kinematic pair، في ال kinematic pair
+
+151
+00:13:11,180 --> 00:13:13,460
+the relative motion between the links is
+
+152
+00:13:13,460 --> 00:13:16,480
+completely or successfully constrained، في حالة ال
+
+153
+00:13:16,480 --> 00:13:21,000
+kinematic pair، بيكون الحركة النسبية بين ال links
+
+154
+00:13:21,000 --> 00:13:26,520
+مسيطرة عليها بشكل كامل أو مسيطر عليها بشكل ناجح، لأن
+
+155
+00:13:26,520 --> 00:13:33,800
+سنفهم ماذا يعني مسيطر بشكل كامل أو مسيطر بشكل ناجح
+
+156
+00:13:33,800 --> 00:13:41,520
+أو لنأخذ تعبير أكثر دقة، يعني مقيّدة بشكل كامل أو
+
+157
+00:13:41,520 --> 00:13:46,600
+مقيّدة بشكل ناجح، مانع، عندي؟  Kinematic pair، the
+
+158
+00:13:46,600 --> 00:13:48,920
+relative motion between the lengths is completely
+
+159
+00:13:48,920 --> 00:13:52,840
+constrained or successfully constrained
+
+160
+00:13:56,020 --> 00:14:01,400
+الآن، ماذا أنواع الحركة المقيّدة؟ الحركة المقيّدة تيجي
+
+161
+00:14:01,400 --> 00:14:04,860
+على الثلاث أنواع، في completely constrained motion
+
+162
+00:14:04,860 --> 00:14:09,860
+يعني حركة مقيّدة بشكل كامل، incompletely constrained
+
+163
+00:14:09,860 --> 00:14:15,880
+motion، حركة غير ... حركة مقيّدة بشكل غير كـ
+
+164
+00:14:15,880 --> 00:14:20,290
+كامل، incomplete يعني ما فيه تقييد كامل، النوع الثالث
+
+165
+00:14:20,290 --> 00:14:23,630
+successfully constrained motion، حركة مقيّدة بشكل
+
+166
+00:14:23,630 --> 00:14:28,290
+ناجح، يعني ثلاث أنواع من الحركة المقيّدة، completely
+
+167
+00:14:28,290 --> 00:14:30,790
+constrained motion، and completely constrained
+
+168
+00:14:30,790 --> 00:14:35,730
+motion، و successfully constrained motion، نجيء
+
+169
+00:14:35,730 --> 00:14:39,470
+لنوع الأول من الحركة المقيّدة، ال completely
+
+170
+00:14:39,470 --> 00:14:45,850
+constrained motion، بتكون الحركة بين ال ... ال ... ال
+
+171
+00:14:45,850 --> 00:14:48,230
+... a pair is limited to a definite direction
+
+172
+00:14:48,230 --> 00:14:51,030
+irrespective of the direction of the applied force
+
+173
+00:14:51,030 --> 00:14:54,650
+بتكون الحركة في اتجاه واحد بغض النظر عن اتجاه
+
+174
+00:14:54,650 --> 00:15:00,210
+القوة، يعني أنا عندي هنا block شكل متوازن ومستطيل
+
+175
+00:15:00,210 --> 00:15:05,910
+وفيه ثقوب وفيه shaft مقطع مربع، الآن ال shaft
+
+176
+00:15:05,910 --> 00:15:10,230
+لو أثرت باتجاه ال force بهذا الاتجاه أو بهذا
+
+177
+00:15:10,230 --> 00:15:14,640
+الاتجاه، ال shaft سيتحرك only in this direction
+
+178
+00:15:14,640 --> 00:15:18,340
+مسموح له أن يتحرك بهذا الاتجاه، معناته هذه الحركة حركة
+
+179
+00:15:18,340 --> 00:15:25,500
+مقيّدة بشكل كامل، نأخذ حالة ثانية، عندي hub وعندي
+
+180
+00:15:25,500 --> 00:15:30,400
+shaft وعندي hand collar، و hand collar، ال shaft
+
+181
+00:15:30,400 --> 00:15:37,030
+مسموح له أن يدور، مسموح له أن يدور، لكن ممنوع أن يتحرك بهذا
+
+182
+00:15:37,030 --> 00:15:41,170
+الاتجاه، ممنوع أن يتحرك بهذا الاتجاه، معناته الحركة
+
+183
+00:15:41,170 --> 00:15:45,330
+مسموحة في اتجاه واحد اللي هو الدوران، في هذه الحالة
+
+184
+00:15:45,330 --> 00:15:53,9
+
+223
+00:19:19,720 --> 00:19:26,910
+according to the type of enclosure. الآن هنيجي للنوع
+
+224
+00:19:26,910 --> 00:19:30,370
+الأول اللي هو التصنيف، يبقى لنوع الحركة النسبية
+
+225
+00:19:30,370 --> 00:19:32,490
+between the elements forming the pair. ممكن يكون
+
+226
+00:19:32,490 --> 00:19:35,750
+عندي sliding pair أو turning pair أو rolling pair
+
+227
+00:19:35,750 --> 00:19:38,510
+أو screw pair. خليني أكتبهم عشان ناخدهم واحد واحد.
+
+228
+00:19:38,510 --> 00:19:43,470
+عندي الـ sliding pair
+
+229
+00:19:43,470 --> 00:19:51,050
+عندي turning pair
+
+230
+00:19:51,050 --> 00:19:52,490
+عندي rolling
+
+231
+00:19:55,660 --> 00:20:07,200
+pair، وعندي screw pair، وعندي spherical pair
+
+232
+00:20:09,620 --> 00:20:14,040
+معناته النوع، التصنيف الـ.. التصنيف الـ.. الـ
+
+233
+00:20:14,040 --> 00:20:18,580
+kinematic pairs، هيكون طبقا لنوع الحركة النسبية
+
+234
+00:20:18,580 --> 00:20:22,320
+between the elements. في الـ sliding pair، بعض الكتب
+
+235
+00:20:22,320 --> 00:20:25,500
+أو بعض الـ software بيسموه prismatic pair. sliding
+
+236
+00:20:25,500 --> 00:20:32,420
+pair أو prismatic pair. الـ sliding pair، one element
+
+237
+00:20:33,780 --> 00:20:38,300
+of the pair can slide relative to the other.
+
+238
+00:20:38,300 --> 00:20:41,920
+element of the pair. One element of the pair can
+
+239
+00:20:41,920 --> 00:20:44,580
+only slide relative to the other. يعني عندي مثلا
+
+240
+00:20:44,580 --> 00:20:50,880
+عندي هنا، عندي
+
+241
+00:20:50,880 --> 00:20:55,760
+هنا الـ block أربعة، والـ link واحد. أربعة ممكن ينزلق
+
+242
+00:20:55,760 --> 00:21:00,600
+بالنسبة لواحد. نوع الحركة بين أربعة وواحد، حركة إيش؟
+
+243
+00:21:00,600 --> 00:21:06,170
+الزلاقية أو حركة انتقالية. طبعا هذه completely
+
+244
+00:21:06,170 --> 00:21:11,370
+constrained motion. The one element of the pair
+
+245
+00:21:11,370 --> 00:21:16,570
+مقيد إنه يتحرك باتجاه واحد. مقيد يتحرك باتجاه واحد.
+
+246
+00:21:16,570 --> 00:21:19,470
+أمثلة: الـ piston and cylinder. هاي الـ piston and
+
+247
+00:21:19,470 --> 00:21:24,330
+cylinder of an engine. الأغراب
+
+248
+00:21:24,330 --> 00:21:32,630
+بتاع المخرطة. tailstock on a lathe bed. النوع
+
+249
+00:21:32,630 --> 00:21:34,430
+التاني اللي هو turning pair
+
+250
+00:21:37,450 --> 00:21:41,170
+في بعض الكتب أو بعض الـ software يسمى revolute pair
+
+251
+00:21:41,170 --> 00:21:45,770
+turning pair أو revolute pair. في الـ turning pair،
+
+252
+00:21:45,770 --> 00:21:52,350
+one element of the pair can only revolve about a
+
+253
+00:21:52,350 --> 00:21:56,430
+fixed axis of the other element of the pair. يعني
+
+254
+00:21:56,430 --> 00:22:00,530
+الـ pair بيكون عبارة عن two links in contact with
+
+255
+00:22:00,530 --> 00:22:04,450
+each other. في الـ turning pair، واحد من الـ elements
+
+256
+00:22:04,450 --> 00:22:07,310
+هذا ممكن يدور بالنسبة للـ element التاني. واحد من الـ
+
+257
+00:22:07,310 --> 00:22:11,750
+elements ممكن يدور بالنسبة للـ element التاني. زي
+
+258
+00:22:11,750 --> 00:22:14,490
+عندي في الـ slotted crank mechanism، الـ link two
+
+259
+00:22:14,490 --> 00:22:18,890
+ممكن يدور بالنسبة لواحد. يعني هنا وهنا عندي
+
+260
+00:22:18,890 --> 00:22:23,110
+turning pair.
+
+261
+00:22:23,110 --> 00:22:31,210
+عندي هنا ممكن يدور، يعني عندي turning pair.
+
+262
+00:22:32,510 --> 00:22:48,230
+بين تلاتة وأربعة، عندي هنا برضه turning pair. النوع
+
+263
+00:22:48,230 --> 00:22:55,050
+التالت rolling pair أو زوج تدحرجي. زوج تدحرجي يعني
+
+264
+00:22:55,050 --> 00:23:04,310
+عندي هنا surface، وعندي دولاب. هذا can roll. هيسميها
+
+265
+00:23:04,310 --> 00:23:09,250
+rolling pair. One element of the pair rolls with
+
+266
+00:23:09,250 --> 00:23:14,790
+respect to the other element of the pair. زي الـ
+
+267
+00:23:14,790 --> 00:23:19,510
+ball and roller bearings. في حالة الـ bearings، في
+
+268
+00:23:19,510 --> 00:23:23,610
+عندي كورات بتتدحرج حوالين الـ inner race أو الـ
+
+269
+00:23:23,610 --> 00:23:28,850
+outer race of the bearing. في
+
+270
+00:23:28,850 --> 00:23:29,950
+عندي الـ screw pair.
+
+271
+00:23:32,840 --> 00:23:42,380
+one element can rotate and advance with respect to
+
+272
+00:23:42,380 --> 00:23:45,080
+the other element of the pair. يعني زي حالة الصمولة
+
+273
+00:23:45,080 --> 00:23:49,220
+والبرغي. ولو مسكت الصمولة، والبرغي ثابت وبديت
+
+274
+00:23:49,220 --> 00:23:54,220
+ألف الصمولة، ثم بتبدأ تلف وتمشي. يعني while turning
+
+275
+00:23:54,220 --> 00:23:59,220
+it advances. بتتقدم إلى الأمام، يعني بتلف الصمولة و
+
+276
+00:23:59,220 --> 00:24:07,270
+هي بتلف بتكون تمشي. الحاجة اسمها screw pair. في
+
+277
+00:24:07,270 --> 00:24:13,750
+عندي spherical pair اللي هي زوج كروي. one element
+
+278
+00:24:13,750 --> 00:24:15,950
+of the spherical. One element of the spherical
+
+279
+00:24:15,950 --> 00:24:18,730
+shape is swivels about the other fixed element. في
+
+280
+00:24:18,730 --> 00:24:22,870
+عندي fixed element، وشكله spherical كروي.
+
+281
+00:24:25,390 --> 00:24:31,170
+شايفين كيف؟ الـ motion فيه عنده 3D rotation about a
+
+282
+00:24:31,170 --> 00:24:36,490
+fixed point. 3D rotation about a fixed point. بنشوفه
+
+283
+00:24:36,490 --> 00:24:39,810
+في المراية بتاعة السيارة أو في بعض القاعدة للأقلام
+
+284
+00:24:39,810 --> 00:24:42,110
+بتكون فيها spherical pair.
+
+285
+00:24:46,470 --> 00:24:49,890
+معناته التصنيف الأول، احنا حكينا ممكن تصنف الـ
+
+286
+00:24:49,890 --> 00:24:52,430
+kinematic pairs according to type of relative
+
+287
+00:24:52,430 --> 00:24:54,750
+motion between elements. يعني ممكن أصنف الـ.. الـ
+
+288
+00:24:54,750 --> 00:24:58,350
+kinematic pairs طبقا لنوع الحركة بين الـ elements
+
+289
+00:24:58,350 --> 00:25:01,370
+المكونة للـ pair. واحنا حكينا في عندي الـ sliding
+
+290
+00:25:01,370 --> 00:25:04,730
+pair، عندي turning pair، عندي rolling pair، عندي
+
+291
+00:25:04,730 --> 00:25:08,470
+screw pair، و spherical pair. التصنيف التاني للـ
+
+292
+00:25:08,470 --> 00:25:12,130
+kinematic pair طبقا لنوع التلامس بين الـ elements
+
+293
+00:25:12,130 --> 00:25:16,010
+المكونة للـ pair. في عندي lower pair، وعندي higher
+
+294
+00:25:16,010 --> 00:25:19,510
+pair. في الـ lower pair، the two elements of the pair
+
+295
+00:25:19,510 --> 00:25:24,190
+have surface contact. بيكون في عندي تلامس سطحى بين
+
+296
+00:25:24,190 --> 00:25:29,290
+العناصر المكونة للـ pair. يعني في حالة الـ sliding
+
+297
+00:25:29,290 --> 00:25:35,290
+pair، هاي عندي هذا slide بهذا الاتجاه. التلامس بين
+
+298
+00:25:35,290 --> 00:25:41,770
+المساحة واللوح عبارة عن surface. في حالة الـ
+
+299
+00:25:41,770 --> 00:25:47,710
+revolute pair، التلامس على المحيط عبارة عن سطح
+
+300
+00:25:47,710 --> 00:25:53,650
+أسطواني. it is a surface لكنه it is not a flat
+
+301
+00:25:53,650 --> 00:25:59,290
+surface. 3D surface. فهذا يسمى lower pair. بيكون
+
+302
+00:25:59,290 --> 00:26:03,010
+التلامس بين الـ elements forming the pair is along
+
+303
+00:26:03,010 --> 00:26:07,410
+a surface. في الـ lower pair،
+
+304
+00:26:10,370 --> 00:26:13,770
+surface of one element slides over the surface of
+
+305
+00:26:13,770 --> 00:26:18,590
+the other. يعني في حالة sliding pair، الـ surface تاع
+
+306
+00:26:18,590 --> 00:26:22,130
+المسافة slide على الـ surface تاع اللوح. في حالة
+
+307
+00:26:22,130 --> 00:26:24,970
+revolute pair أو turning pair، الـ cylindrical
+
+308
+00:26:24,970 --> 00:26:34,480
+surface to this link it turns أو slides على المحيط. في
+
+309
+00:26:34,480 --> 00:26:38,040
+حالة screw pair، عند صمولة وبرغي، الصمولة الـ
+
+310
+00:26:38,040 --> 00:26:40,940
+surface بتاعها helical surface. it slides with
+
+311
+00:26:40,940 --> 00:26:42,760
+respect to the screw.
+
+312
+00:26:47,600 --> 00:26:51,360
+في عندي، احنا حكينا التصنيف في الـ kinematic pairs
+
+313
+00:26:51,360 --> 00:26:55,940
+طبقا للنوع التلامس. احنا حكينا الـ lower pair، في
+
+314
+00:26:55,940 --> 00:26:58,700
+عندي higher pair. فالـ higher pair، بيكون الـ contact
+
+315
+00:26:58,700 --> 00:27:03,440
+بين الـ elements forming the pair along a line or
+
+316
+00:27:03,440 --> 00:27:07,480
+point contact. يعني بيكون التلامس يا خط أو point
+
+317
+00:27:07,480 --> 00:27:12,000
+contact. مثلا في حتة الـ rolling pair، لو عندك
+
+318
+00:27:12,000 --> 00:27:15,780
+إسطوانة، هذه سيلندر.
+
+319
+00:27:20,140 --> 00:27:23,180
+النقطة اللي أنا شايفها in the view، هتكون خط هنا.
+
+320
+00:27:23,180 --> 00:27:30,760
+لدي هنا line contact. في الحالة دي بسميها higher
+
+321
+00:27:30,760 --> 00:27:37,120
+pair. في حالة كان عندي rolling لكورة، هتكون التلامس
+
+322
+00:27:37,120 --> 00:27:45,840
+هنا point. هنا دي sphere، فعندي هنا تلامس point
+
+323
+00:27:45,840 --> 00:27:55,580
+contact. معناته ها دي higher pair. الـ
+
+324
+00:27:55,580 --> 00:28:00,920
+motion between the two is partly turning. في دوران
+
+325
+00:28:00,920 --> 00:28:08,840
+و partly sliding. أمثلة على الـ higher pairs، إذا
+
+326
+00:28:08,840 --> 00:28:15,460
+عندي two friction disks. هاي عندي disk، وعندي disk.
+
+327
+00:28:20,880 --> 00:28:25,600
+هذا الاتجاه وهذا الاتجاه. عندي هنا line contact في
+
+328
+00:28:25,600 --> 00:28:46,540
+حالة friction disk. عندي ترسين، tooth عندي
+
+329
+00:28:46,540 --> 00:28:48,120
+الترس، الطرف التاني.
+
+330
+00:28:56,500 --> 00:29:06,560
+هذا عندي line contact. معناته هذا higher pair. عندي
+
+331
+00:29:06,560 --> 00:29:13,180
+cam and follower. عندي هاي cam، و
+
+332
+00:29:13,180 --> 00:29:14,740
+عندي follower.
+
+333
+00:29:18,630 --> 00:29:21,710
+and a line contact. يعني في أمثلة كتير على higher
+
+334
+00:29:21,710 --> 00:29:25,470
+pair. معناه التصنيف التاني، ممكن نصنف الكينيماتيك pair
+
+335
+00:29:25,470 --> 00:29:29,910
+طبقا لنوع التلامس. ممكن تكون تلامس على الـ surface،
+
+336
+00:29:29,910 --> 00:29:33,570
+في الحالة دي بسميه lower pair. ممكن تكون تلامس over
+
+337
+00:29:33,570 --> 00:29:36,850
+a line or over a point. في الحالة دي بسميه higher
+
+338
+00:29:36,850 --> 00:29:41,950
+pair. النوع التالت من التصنيف according to type of
+
+339
+00:29:41,950 --> 00:29:47,430
+closure. هنشوف فيه نوعين: في self-closed pair،
+
+340
+00:29:51,950 --> 00:29:56,010
+وفيه force-closed pair. في self-closed pair، the
+
+341
+00:29:56,010 --> 00:30:00,850
+two elements of the pair are connected together
+
+342
+00:30:00,850 --> 00:30:05,470
+mechanically in such a way that only the required
+
+343
+00:30:05,470 --> 00:30:10,630
+kind of relative motion occurs. يعني في حالة الـ
+
+344
+00:30:10,630 --> 0:30:14,930
+slotted crank mechanism، موصولين من خلال joint، من خلال
+
+345
+00:30:14,930 --> 00:30:19,470
+hand joint. الآن نوع الحركة بين اتنين وواحد بيتغيرش،
+
+346
+00:30:19,470 --> 00:30:22,950
+بين تلاتة واتنين بيتغيرش، اللي رابطهم، اللي رابطهم
+
+347
+00:30:22,950 --> 00:30:29,870
+مع بعض، الـ joints، المفاصل هذه self-closed pair. self-
+
+348
+00:30:29,870 --> 00:30:35,410
+closed pair. مفاصل جسم الإنسان، موصولة في بعض بطريقة
+
+349
+00:30:35,410 --> 00:30:39,110
+إنه يحافظ على relative motion نفسها. يعني أنا مثلا
+
+350
+00:30:39,110 --> 00:30:44,050
+بحرك إيدي هنا، بحرك
+
+351
+00:30:44,050 --> 00:30:50,790
+إيدي هنا. لو ثبتت هذه، هذه حركة لأن الحركة النسبية بين
+
+352
+00:30:50,790 --> 00:30:54,230
+هذه وهذه لا تتغير. ولكن لو ثبتت هيك، سأتحرك مثل ذلك.
+
+353
+00:30:54,230 --> 00:30:58,090
+نفس الشيء بالنسبة لبعض، نفس الشيء للكوع. لو ثبتت هذه
+
+354
+00:30:58,090 --> 00:31:01,790
+أو
+
+355
+00:31:01,790 --> 00:31:07,830
+لو ثبتت هذه. طبعا صعب أرفع إيدي. فهذه self-closed
+
+356
+00:31:07,830 --> 00:31:14,090
+pair. في course advanced، ممكن تكون elective زي
+
+357
+00:31:14,090 --> 00:31:18,810
+مستقبلا، تاخدوه في الـ.. يعني سواء في الـ.. في
+
+358
+00:31:18,810 --> 00:31:22,890
+الدراسات العليا. ممكن تسمى اللي هو human body
+
+359
+00:31:22,890 --> 00:31:26,070
+dynamics، ديناميكا جسم الإنسان، مهم كتير اللي
+
+360
+00:31:26,070 --> 00:31:31,810
+هيشتغل فيه في الـ.. في العلوم المتعلقة في دراسة
+
+361
+00:31:31,810 --> 00:31:34,710
+ديناميكية الحركة جسم الإنسان.
+
+362
+00:31:37,580 --> 00:31:41,340
+الـ lower pairs are self-closed pair. يعني lower
+
+363
+00:31:41,340 --> 00:31:48,460
+pair، زي عندي الـ turning pair is a self-closed pair.
+
+364
+00:31:48,460 --> 00:31:54,140
+الـ sliding pair is a self-closed pair. الـ screw
+
+365
+00:31:54,140 --> 00:32:01,240
+pair is a self-closed pair. النوع
+
+366
+00:32:01,240 --> 00:32:04,300
+التاني، الـ forced، force-closed pair.
+
+367
+00:32:07,310 --> 00:32:13,150
+الـ two elements المكونين للـ pair are not
+
+368
+00:32:13,150 --> 00:32:17,010
+connected mechanically but are kept in contact by
+
+369
+00:32:17,010 --> 00:32:19,650
+the action of external forces. يعني على سبيل المثال،
+
+370
+00:32:19,650 --> 00:32:25,390
+عندي.. عندي cam، هاي
+
+371
+00:32:25,390 --> 00:32:28,030
+مركزها ورا عنها، وعندي hand follower.
+
+372
+00:32:33,250 --> 00:32:37,250
+عشان أخلي الـ follower هذه بتدور، هذا يدور، هذا يطلع
+
+373
+00:32:37,250 --> 00:32:44,070
+ونزل، زي الـ cam في السيارة، أو الـ cam تعمل مكان
+
+374
+00:32:44,070 --> 00:32:49,990
+لخياطة. for this follower to be in contact with
+
+375
+00:32:49,990 --> 00:32:53,690
+this cam. هذا cam، هذا follower.
+
+376
+00:32:56,940 --> 00:32:59,100
+لازم يكون فيه some external force. الـ external
+
+377
+00:32:59,100 --> 00:33:03,400
+force، ممكن تكون وزن الفلور by gravity أو by a
+
+378
+00:33:03,400 --> 00:33:06,860
+spring force. يكون عند زمبرك، دائما يكون ضغط الفلور
+
+379
+00:33:06,860 --> 00:33:14,260
+مع الكام، عشان دائما يكون الفلور ملامس للكام. if we
+
+380
+00:33:14,260 --> 00:33:18,040
+lose contact. في الحالة، إذا فقدنا التلامس، هنفقد
+
+381
+00:33:18,040 --> 00:33:21,380
+الحركة بين الـ two elements forming the pair. معناته
+
+382
+00:33:21,380 --> 00:33:24,480
+التصنيف التالت according to type of closure، في عند
+
+383
+00:33:24,480 --> 00:33:28,460
+self-closed pair، وعند force-closed pair. إن راجع
+
+384
+00:33:29,370 --> 00:33:32,310
+تصنيفات الـ.. الـ.. الـ.. الـ kinematic pairs، ممكن
+
+385
+00:33:32,310 --> 00:33:36,650
+تكون طبقا لنوع الحركة النسبية بين الـ two elements
+
+386
+00:33:36,650 --> 00:33:39,890
+forming the pair، أو طبقا لنوع الـ contact between
+
+387
+00:33:39,890 --> 00:33:42,350
+the elements forming the pair، أو طبقا لنوع الـ
+
+388
+00:33:42,350 --> 00:33:47,740
+closure of the two pair. التصنيف الأول طبقا لنوع
+
+389
+00:33:47,740 --> 00:33:49,940
+الحركة between the two elements forming the pair
+
+390
+00:33:49,940 --> 00:33:52,860
+بيكون عندي sliding pair, turning pair, rolling
+
+391
+00:33:52,860 --> 00:33:58,080
+pair, screw pair, spherical pair. التصنيف التاني
+
+392
+00:33:58,080 --> 00:34:00,840
+according to type of contact، بيكون عندي الـ lower
+
+393
+00:34:00,840 --> 00:34:03,260
+pair أو higher pair. في حالة الـ lower pair، بيكون
+
+394
+00:34:03,260 --> 00:34:06,540
+عندي الـ contact على surface contact.  في حالة الـ higher
+
+395
+00:34:06,540 --> 00:34:10,600
+pair بيكون عندي الـ contact line or point contact.
+
+396
+00:34:10,600 --> 00:34:14,000
+التصنيف التالت according to type of closure، بيكون
+
+397
+00:34:14,000 --> 00:34:20,300
+يعني self-closed pair أو force-closed pair. طيب
+
+398
+00:34:32,300 --> 00:34:35,780
+نحكي هنا kinematic pair. في مصطلح دي اسمه kinematic
+
+399
+00:34:35,780 --> 00:34:41,080
+chain. الـ kinematic pair عبارة عن combination of
+
+400
+00:34:41,080 --> 00:34:46,020
+kinematic pairs. يعني الإصلاح، الـ economic mechanism
+
+401
+00:34:46,020 --> 00:34:49,920
+مكوّن من الـ pair واحد واتنين، والـ pair اتنين وتلاتة، والـ pair تلاتة و
+
+402
+00:34:49,920 --> 00:34:55,120
+أربعة، والـ pair أربعة وواحد.
+
+403
+00:34:55,120 --> 00:34:59,240
+المجموع الأربعة pairs هذه اللي هي واحد مع اتنين، و
+
+404
+00:34:59,240 --> 
+
+445
+00:39:16,100 --> 00:39:21,040
+أنا
+
+446
+00:39:21,040 --> 00:39:25,760
+عندي
+
+447
+00:39:25,760 --> 00:39:27,220
+الـ J أربعة
+
+448
+00:39:30,360 --> 00:39:33,260
+لاحظوا عندي ثلاثي الـ turning الـ turning تعتبر
+
+449
+00:39:33,260 --> 00:39:39,020
+lower pair و الـ sliding تعتبر lower pair أربعة عند
+
+450
+00:39:39,020 --> 00:39:44,760
+هنا واحد و نصف عدد الـ link أربعة نقص اثنين يعني
+
+451
+00:39:44,760 --> 00:39:47,820
+واحد و نصف في أربعة ستة نقص اثنين  بالسوء أربعة يعني
+
+452
+00:39:47,820 --> 00:39:58,000
+أربعة بالسوء أربعة منعت المعادلة هذه إيش؟ صحيحة زي
+
+453
+00:39:58,000 --> 00:40:04,560
+ما حكيت above Equations اللي هي المعادلة هذه اللي
+
+454
+00:40:04,560 --> 00:40:11,480
+هي المعادلة اللي هي L بيساوي اثنين P ناقص أربعة و
+
+455
+00:40:11,480 --> 00:40:18,680
+J بيساوي واحد و نصف L ناقص اثنين  هدول الـ two
+
+456
+00:40:18,680 --> 00:40:19,360
+equations
+
+457
+00:40:25,070 --> 00:40:28,550
+applicable only to kinematic chains in which lower
+
+458
+00:40:28,550 --> 00:40:32,630
+pairs are used هذه المعادلات تتطبق فقط في حالة الـ
+
+459
+00:40:32,630 --> 00:40:38,130
+kinematic chains اللي الـ pairs فيها lower pair إيش
+
+460
+00:40:38,130 --> 00:40:41,110
+يعني lower pair يعني الـ contact is surface contact
+
+461
+00:40:41,110 --> 00:40:44,990
+يعني عندي هنا ثلاثة turning pairs واضح أن عندي
+
+462
+00:40:44,990 --> 00:40:48,210
+surface surface cylindrical contact وعندي one
+
+463
+00:40:48,210 --> 00:40:51,970
+sliding pair عندي flat surface contact
+
+464
+00:40:57,740 --> 00:41:03,020
+هذه المعادلات ممكن نعدلها بحيث تكون قابلة
+
+465
+00:41:03,020 --> 00:41:08,940
+للاستخدام في حالة الـ kinematic chains اللي بيكون
+
+466
+00:41:08,940 --> 00:41:17,180
+تتضمن higher pairs طبعا each higher pair is
+
+467
+00:41:17,180 --> 00:41:21,060
+equivalent to two lower pairs plus a link
+
+468
+00:41:27,530 --> 00:41:43,570
+نشوف أمثلة على الـ Kinematic Chains عندي
+
+469
+00:41:43,570 --> 00:41:46,970
+هاي ثلاث لينكات
+
+470
+00:42:02,860 --> 00:42:13,680
+هي link واحد اثنين ثلاثة عندي
+
+471
+00:42:13,680 --> 00:42:17,940
+الـ number of links الـ الحالة هذه عندي واحد اثنين
+
+472
+00:42:17,940 --> 00:42:23,100
+ثلاثة ثلاثة links الـ number of pairs عندي turning
+
+473
+00:42:23,100 --> 00:42:26,510
+pair turning pair turning pair عندي ثلاثة برضه الـ
+
+474
+00:42:26,510 --> 00:42:30,270
+number of joints عند رفوليوت جوانت رفوليوت جوانت
+
+475
+00:42:30,270 --> 00:42:34,830
+رفوليوت جوانت عند إيش ثلاثة خلينا نشوف نطبق
+
+476
+00:42:34,830 --> 00:42:39,590
+المعادلة اللي قال عندها اللي قال عندها الـ links
+
+477
+00:42:39,590 --> 00:42:45,970
+ثلاثة على الطرف الثاني عندها اثنين P اثنين في P
+
+478
+00:42:45,970 --> 00:42:52,890
+اللي هي ثلاثة ناقص أربعة عندها اثنين ثلاثة اثنين في
+
+479
+00:42:52,890 --> 00:42:57,950
+ثلاثة ستة ناقص أربعة اثنين لاحظوا الـ left hand side
+
+480
+00:42:57,950 --> 00:43:07,990
+أكبر من الـ right hand side نجي المعادلة الثانية الـ
+
+481
+00:43:07,990 --> 00:43:16,110
+J عندها ثلاثة عند واحد و نصف فيه ثلاثة ناقص اثنين
+
+482
+00:43:16,110 --> 00:43:20,990
+واحد و نصف ثلاثة كم؟ أربعة و نصف ناقص اثنين اثنين و
+
+483
+00:43:20,990 --> 00:43:26,760
+نصف هنا ثلاثة واضح برضه left hand side أكبر من الـ
+
+484
+00:43:26,760 --> 00:43:31,580
+right hand side هل
+
+485
+00:43:31,580 --> 00:43:34,880
+link واحد أو link أي link من اللي كانت ممكن تتحرك
+
+486
+00:43:34,880 --> 00:43:38,060
+بالنسبة للثانية هل يعني واحد ممكن تتحرك للثانية أو
+
+487
+00:43:38,060 --> 00:43:42,310
+واحد بالنسبة للثلاثة واضح أن فيش حركة معناه أن this
+
+488
+00:43:42,310 --> 00:43:46,350
+is not a kinematic chain this is a structure لأن
+
+489
+00:43:46,350 --> 00:43:50,850
+في عندها no relative motion is possible مش ممكن
+
+490
+00:43:50,850 --> 00:43:54,110
+اثنين تتحرك بالنسبة لواحد أو ثلاثة تتحرك بالنسبة
+
+491
+00:43:54,110 --> 00:43:57,330
+لواحد أو ثلاثة بالنسبة لاثنين no relative motion
+
+492
+00:43:57,330 --> 00:44:03,590
+between the elements forming the chain معناه أن it
+
+493
+00:44:03,590 --> 00:44:08,630
+is not a kinematic chain it is a structure لأن
+
+494
+00:44:08,630 --> 00:44:14,070
+ما فيش حركة بيقنق limits forming if possible طيب
+
+495
+00:44:14,070 --> 00:44:24,050
+مثال ثاني ناخد
+
+496
+00:44:24,050 --> 00:44:32,110
+الـ four bar linkage four bar four
+
+497
+00:44:32,110 --> 00:44:35,870
+bar linkage أي واحد
+
+498
+00:44:38,660 --> 00:44:45,420
+اثنين ثلاثة أربعة عند عدد الـ links الـ أربعة links
+
+499
+00:44:45,420 --> 00:44:52,000
+و عدد الـ pairs turning pair turning pair turning pair
+
+500
+00:44:52,000 --> 00:44:58,200
+turning pair عند أربعة و عند أربعة joints طيب طبق
+
+501
+00:44:58,200 --> 00:45:03,580
+المعادلة الأولى الـ عند أربعة بيساوي اثنين P اثنين P
+
+502
+00:45:06,230 --> 00:45:11,690
+اثنين في أربعة ناقص أربعة يعني أنا عندي هنا أربعة
+
+503
+00:45:11,690 --> 00:45:16,030
+هنا أربعة أربعة بيساوي أربعة الـ left hand side
+
+504
+00:45:16,030 --> 00:45:19,590
+بيساوي الـ right hand side فأنت بتحقق المعادلة
+
+505
+00:45:19,590 --> 00:45:24,070
+المعادلة الثانية عندي J بيساوي أربعة عندي هنا واحد
+
+506
+00:45:24,070 --> 00:45:30,780
+و نصف في أربعة ناقص اثنين أربعة هتساوي أربعة معناته
+
+507
+00:45:30,780 --> 00:45:36,500
+left hand side بيساوي الـ right hand side معناته
+
+508
+00:45:36,500 --> 00:45:41,160
+العلاقتين تحققوا معناته this is a kinematic chain
+
+509
+00:45:41,160 --> 00:45:45,460
+with one degree of freedom this is a kinematic
+
+510
+00:45:45,460 --> 00:45:49,000
+chain with one degree of freedom بعد شوية هنحكي عن
+
+511
+00:45:49,000 --> 00:45:51,460
+الـ degrees of freedom إيش الـ definition بتاعها
+
+512
+00:45:51,460 --> 00:45:54,840
+و كيف بنحدد الـ number of degrees of freedom
+
+513
+00:45:58,710 --> 00:46:00,770
+ناخد ميكانيزم ثاني
+
+514
+00:46:25,180 --> 00:46:30,400
+عندها link واحد link اثنين link ثلاثة link أربعة
+
+515
+00:46:30,400 --> 00:46:37,240
+link خمسة يعني عندي link عدد links خمسة عندي
+
+516
+00:46:37,240 --> 00:46:41,940
+turning pair turning pair turning pair turning
+
+517
+00:46:41,940 --> 00:46:45,840
+pair turning pair عندي يعني كم pair عندي خمسة
+
+518
+00:46:45,840 --> 00:46:51,170
+خمسة pairs  الـ joints عندي؟ واحد، اثنين، ثلاثة،
+
+519
+00:46:51,170 --> 00:46:55,910
+أربعة، خمسة و J بيساوي خمسة نشوف المعادلة هذه
+
+520
+00:46:55,910 --> 00:47:04,670
+عند الـ L الـ L عندها
+
+521
+00:47:04,670 --> 00:47:15,070
+خمسة بيساوي اثنين في الـ pairs خمسة ناقص أربعة
+
+522
+00:47:15,070 --> 00:47:20,880
+عند هنا خمسة اثنين في خمسة بعشرة ناقص أربعة ستة
+
+523
+00:47:20,880 --> 00:47:29,200
+واضح الـ left hand side أقل من الـ right hand side
+
+524
+00:47:29,200 --> 00:47:35,420
+نجي الـ معادلة الثانية J J بيساوي واحد و نصف الـ ناقص اثنين
+
+525
+00:47:35,420 --> 00:47:40,820
+الـ J عندي خمسة بيساوي واحد و نصف في خمسة ناقص اثنين
+
+526
+00:47:40,820 --> 00:47:44,600
+يعني خمسة عندي واحد و نصف في خمسة سبعة و نصف ناقص
+
+527
+00:47:44,600 --> 00:47:50,590
+اثنين خمسة و نصف عند الـ left hand side أقل من الـ
+
+528
+00:47:50,590 --> 00:47:57,110
+right hand side المعناته الـ two equations are not
+
+529
+00:47:57,110 --> 00:48:01,310
+satisfied لم يتم تحقيق المعادلتين هدول معناته it
+
+530
+00:48:01,310 --> 00:48:09,710
+is not a kinematic chain ليش الـ chain is not
+
+531
+00:48:09,710 --> 00:48:13,670
+constrained ممكن يعني لو أنا حركت اثنين واحدة منهم
+
+532
+00:48:13,670 --> 00:48:19,630
+حركت واحدة أحصل على أكثر من positions أو شكل ..
+
+533
+00:48:19,630 --> 00:48:28,950
+يعني لو حركت هذا بشكل هذا أو
+
+534
+00:48:28,950 --> 00:48:35,170
+ممكن يكون في إزاحة فعند أكثر من احتمال
+
+535
+00:48:55,980 --> 00:48:59,680
+النتائج غير متوقعة لأنه محتاج لـ other degree of
+
+536
+00:48:59,680 --> 00:49:00,000
+freedom
+
+537
+00:49:17,830 --> 00:49:23,710
+أنواع الوصلات أنواع
+
+538
+00:49:23,710 --> 00:49:28,010
+الوصلات في الـ .. في الـ .. في الـ chains في عندي
+
+539
+00:49:28,010 --> 00:49:35,370
+binary joint يعني وصلة ثنائية في الوصلة الثنائية
+
+540
+00:49:35,370 --> 00:49:38,250
+two links are joined at the same connection يعني
+
+541
+00:49:38,250 --> 00:49:42,290
+نفس النقطة بكون واصل two elements أو two links
+
+542
+00:49:45,370 --> 00:49:58,690
+لو نطلع الـ four bar على الـ four bar واحد
+
+543
+00:49:58,690 --> 00:50:06,280
+اثنين ثلاثة أربعة هذه binary joint لأن هذه link و
+
+544
+00:50:06,280 --> 00:50:09,860
+link اثنين وهذه binary joint هي link و link اثنين
+
+545
+00:50:09,860 --> 00:50:12,580
+وهذه binary joint هي link و link اثنين وهذه binary
+
+546
+00:50:12,580 --> 00:50:14,260
+joint هي link و link اثنين و binary joint اثنين و
+
+547
+00:50:14,260 --> 00:50:15,960
+binary joint اثنين و binary joint اثنين و binary
+
+548
+00:50:15,960 --> 00:50:22,320
+joint اثنين و binary joint اثنين
+
+549
+00:50:22,320 --> 00:50:25,120
+و binary joint اثنين و binary joint اثنين و binary
+
+550
+00:50:25,120 --> 00:50:29,460
+اثنين و binary joint اثنين و binary joint اثنين و
+
+551
+00:50:29,460 --> 00:50:32,920
+binary joint اثنين و binary joint اثنين و binary
+
+552
+00:50:32,920 --> 00:50:34,420
+joint اثنين و binary joint اثنين و binary joint
+
+553
+00:50:35,830 --> 00:50:44,750
+ممكن أعدلها  J + H على اثنين بيساوي واحد و
+
+554
+00:50:44,750 --> 00:50:50,910
+نصف L ناقص في الحالة هذه it could be used this
+
+555
+00:50:50,910 --> 00:50:53,250
+equation can be used for higher pairs
+
+556
+00:51:03,810 --> 00:51:06,590
+higher pairs يعني يكون الـ contact على نقطة أو على
+
+557
+00:51:06,590 --> 00:51:12,090
+خط هذا الـ H number of higher pairs
+
+558
+00:51:16,650 --> 00:51:21,910
+في عندنا ما يسمى الـ AW Klein equation هذه
+
+559
+00:51:21,910 --> 00:51:26,450
+المعادلة تستخدم لتحديد ما إذا كانت الـ chain locked
+
+560
+00:51:26,450 --> 00:51:28,610
+chain يعني الـ structure ليس relative motion
+
+561
+00:51:28,610 --> 00:51:32,070
+between the elements forming the chain أو
+
+562
+00:51:32,070 --> 00:51:39,530
+kinematic chain أو unconstrained chain فمن خلال
+
+563
+00:51:39,530 --> 00:51:42,830
+المعادلة هذه بنحدد whether the chain is a
+
+564
+00:51:42,830 --> 00:51:47,700
+structure or a kinematic chain or unconstrained
+
+565
+00:51:47,700 --> 00:51:57,900
+chain نتطلع
+
+566
+00:51:57,900 --> 00:52:00,040
+على القالية هذه
+
+567
+00:52:24,180 --> 00:52:30,560
+عندها link واحد اثنين ثلاثة أربعة خمسة ستة عند
+
+568
+00:52:30,560 --> 00:52:34,960
+الـ number of links شو بيساوي؟ ستة الـ joints عندها واحد
+
+569
+00:52:34,960 --> 00:52:41,940
+اثنين ثلاثة أربعة خمسة خمسة joints خمسة
+
+570
+00:52:41,940 --> 00:52:49,460
+joints معناته المفروض الـ J الـ pairs higher pair و
+
+571
+00:52:49,460 --> 00:52:53,520
+لا lower pair كلها lower pair معناته J بيساوي H على
+
+572
+00:52:53,520 --> 00:53:01,840
+اثنين بلس واحد و نصف L ناقص اثنين الـ J عندي خمسة و
+
+573
+00:53:01,840 --> 00:53:07,000
+الـ H عندي صفر على اثنين الطرف الثاني واحد و نصف في
+
+574
+00:53:07,000 --> 00:53:09,980
+اللي عندي number of links ستة ناقص اثنين يعني
+
+575
+00:53:09,980 --> 00:53:13,260
+هتكون عندي أربعة واحد و نصف في ستة
+
+576
+00:53:25,320 --> 00:53:34,140
+آه في شغلة هنا بنحكي عنها عندي الـ J في عندي الـ
+
+577
+00:53:34,140 --> 00:53:40,460
+binary joints كم
+
+578
+00:53:40,460 --> 00:53:46,900
+binary joints عندي؟ واحد اثنين ثلاثة في وصلات
+
+579
+00:53:46,900 --> 00:53:50,300
+ثلاثية يعني بيكون عندها نفس النقطة موصول أكثر من
+
+580
+00:53:50,300 --> 00:53:56,190
+link عندي ternary joints وصلات ثلاثية ternary
+
+581
+00:53:56,190 --> 00:54:00,050
+joints
+
+582
+00:54:00,050 --> 00:54:04,570
+عددها اثنين
+
+583
+00:54:04,570 --> 00:54:11,070
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+584
+00:54:11,070 --> 00:54:11,930
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+585
+00:54:11,930 --> 00:54:12,290
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+586
+00:54:12,290 --> 00:54:12,350
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+587
+00:54:12,350 --> 00:54:14,310
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+588
+00:54:14,310 --> 00:54:15,990
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+589
+00:54:15,990 --> 00:54:21,730
+اثنين اثنين اثن
+
+590
+00:54:23,660 --> 00:54:29,440
+زائد اثنين ternary كل واحدة ثلاثية تعادل اثنين
+
+591
+00:54:29,440 --> 00:54:38,440
+معناته هيكون بيساوي إيش؟ سبعة الـ J نجي للمعادلة
+
+592
+00:54:38,440 --> 00:54:45,900
+عندي J + H على اثنين بيساوي واحد و نصف L ناقص
+
+593
+00:54:45,900 --> 00:54:51,660
+اثنين الـ J عندي كلها سبعة زائد صفر على الطرف الثاني
+
+594
+00:54:51,660 --> 00:54:57,660
+واحد و نصف في ستة ناقص اثنين يعني هتكون عندها سبعة
+
+595
+00:54:57,660 --> 00:55:04,340
+و سبعة الـ left hand side بيساوي الـ right hand
+
+596
+00:55:04,340 --> 00:55:10,320
+side معناه that this is a kinematic chain with one
+
+597
+00:55:10,320 --> 00:55:19,480
+degree of freedom النوع الثالث من الـ joints اللي هي
+
+598
+00:55:19,480 --> 00:55:23,480
+الـ quaternary joint اللي هي الوصلات الرباعية في
+
+599
+00:55:23,480 --> 00:55:28,560
+الوصلات الرباعية بيكون عند نقطة واحدة في أربعة
+
+600
+00:55:28,560 --> 00:55:31,860
+links عند نقطة واحدة بيكون في أربعة links متصلين
+
+601
+00:55:31,860 --> 00:55:40,660
+مع بعض each كل وصلة رباعية تكافئ ثلاث وصلات ثنائية
+
+602
+00:55:40,660 --> 00:55:48,680
+كل وصلة رباعية تكافئ ثلاث وصلات ثنائية يعني ممكن أحكي
+
+603
+00:55:49,690 --> 00:55:57,250
+لو كانت الوصلة
+
+604
+00:55:57,250 --> 00:56:02,290
+ثلاثية يعني عندي ثلاثة links عند نفس الوصلة هيكون
+
+605
+00:56:02,290 --> 00:56:07,890
+تعادل ثلاثة ناقص واحد binary joints يعني الاثنين لو
+
+606
+00:56:07,890 --> 00:56:12,070
+كانت وصلة رباعية هيكون أربعة ناقص واحد وصلة ثنائية
+
+607
+00:56:12,070 --> 00:56:15,910
+يعني أربعة ناقص واحد ثلاثة معناته كل وصلة رباعية
+
+608
+00:56:15,910 --> 00:56:23,820
+تعادل ثلاث وصلات ثنائية نشوف الـ structure هذا أو الـ
+
+609
+00:56:23,820 --> 00:56:27,360
+potential
+
+610
+00:56:27,360 --> 00:56:32,280
+kinematic chain بينها طبعا مجرد ما أطلع عليها
+
+611
+00:56:32,280 --> 00:56:34,780
+هعرفها it is not a kinematic chain هعرفها أنها
+
+612
+00:56:34,780 --> 00:56:39,080
+structure أوتوماتيك هعرفها structure عند high link
+
+613
+00:56:39,080 --> 00:56:43,260
+واحد high
+
+614
+00:56:43,260 --> 00:56:50,080
+link اثنين high link ثلاثة high link أربعة هي link
+
+615
+00:56:50,080 --> 00:56:57,380
+خمسة هي link ستة هي link سبعة link ثمانية link
+
+616
+00:56:57,380 --> 00:57:14,640
+تسعة link عشرة وهذه النقاط A B C D E F G
+
+617
+00:57:50,540 --> 00:58:07,660
+عندي joints عندي
+
+618
+00:58:07,660 --> 00:58:08,700
+عشر links
+
+619
+00:58:15,080 --> 00:58:19,940
+عندي link واحد اثنين ثلاثة أربعة خمسة ستة سبعة
+
+620
+00:58:19,940 --> 00:58:22,380
+ثمانية تسعة عشرة links عندي الـ links الـ number of
+
+621
+00:58:22,380 --> 00:58:25,920
+links عندي
+
+622
+00:58:25,920 --> 00:58:29,960
+عشرة عندي
+
+623
+00:58:29,960 --> 00:58:34,380
+اللي هو الوصلات الرباعية اللي هو ternary أو الوصلات
+
+624
+00:58:34,380 --> 00:58:42,120
+الـ binary joints binary joints عندي
+
+625
+00:58:42,120 --> 00:58:43,100
+الـ ternary joints
+
+626
+00:58:48,970 --> 00:58:55,810
+عندها رباعية joints
+
+627
+00:58:55,810 --> 00:59:08,410
+الثنائية
+
+628
+00:59:08,410 --> 00:59:14,190
+عندها واحدة
+
+629
+00:59:14,190 --> 00:59:2
+
+667
+01:04:40,960 --> 01:04:48,340
+نصفي عشرة ماقص اتنين يعني تلاتاش بيساوي تلاتاش
+
+668
+01:04:48,340 --> 01:04:55,560
+يعني الـ left hand side بيساوي الـ right hand side
+
+669
+01:04:55,560 --> 01:04:59,260
+معناته this is a kinematic chain with one degree
+
+670
+01:04:59,260 --> 01:05:02,120
+of freedom. This is a kinematic chain with one degree
+
+671
+01:05:02,120 --> 01:05:08,540
+of freedom. طيب
+
+672
+01:05:19,760 --> 01:05:32,600
+طيب، أخش الموضوع الجديد اللي
+
+673
+01:05:32,600 --> 01:05:37,820
+هو الـ mechanism. الـ mechanism هي عبارة عن kinematic
+
+674
+01:05:37,820 --> 01:05:43,080
+chain in which one of the links is fixed. الـ
+
+675
+01:05:43,080 --> 01:05:45,680
+mechanism بتبقى عبارة عن kinematic chain، واحدة من
+
+676
+01:05:45,680 --> 01:05:52,140
+الروابط بتكون مثبتة. يعني عندي مثلاً four bar
+
+677
+01:05:52,140 --> 01:05:55,920
+chain، four
+
+678
+01:05:55,920 --> 01:06:01,060
+bar chain. هاي
+
+679
+01:06:01,060 --> 01:06:06,940
+الـ link واحد، اتنين، تلاتة، أربعة. هاد يسميها chain، لو
+
+680
+01:06:06,940 --> 01:06:09,360
+ثبت أي link فيهم، يقولوا أنا ثبتت واحد.
+
+681
+01:06:12,090 --> 01:06:17,310
+بيصير إيش اسمها؟ mechanism. Once ثبتت أي link فيهم،
+
+682
+01:06:17,310 --> 01:06:22,290
+بيصير اسمها mechanism. في الأول كان اسمها chain أو
+
+683
+01:06:22,290 --> 01:06:28,070
+kinematic chain. Once we fix any element or any link
+
+684
+01:06:28,070 --> 01:06:32,850
+of the chain, we call it a mechanism. A mechanism is
+
+685
+01:06:32,850 --> 01:06:36,530
+used for transmitting, it for transmitting or
+
+686
+01:06:36,530 --> 01:06:41,850
+transforming motion. الميكانيزم تستخدم لنقل الحركة
+
+687
+01:06:41,850 --> 01:06:45,870
+أو تحويل الحركة من صيغة لأخرى. يعني ممكن أحول الحركة
+
+688
+01:06:45,870 --> 01:06:51,380
+من حركة دائرية لحركة .. من حركة دورانية لحركة خطية
+
+689
+01:06:51,380 --> 01:06:55,340
+أو العكس، من حركة خطية لحركة دورانية، أو من حركة
+
+690
+01:06:55,340 --> 01:06:59,460
+دورانية لحركة ذبذبية. يعني في أكثر من طريقة لتغيير
+
+691
+01:06:59,460 --> 01:07:05,980
+شكل الحركة. أمثلة كثيرة عن الـ mechanisms اللي هو يعني
+
+692
+01:07:05,980 --> 01:07:09,040
+الـ four bar linkage، الـ slotted crank mechanism، وفي
+
+693
+01:07:09,040 --> 01:07:12,200
+mechanisms أخرى، بس هذه أشهرها شيوعاً في الـ
+
+694
+01:07:12,200 --> 01:07:12,520
+machines.
+
+695
+01:07:15,830 --> 01:07:22,090
+طيب، الميكانيزم ممكن تكون simple mechanism أو
+
+696
+01:07:22,090 --> 01:07:26,110
+compound mechanism. بتكون simple إذا كان عدد الـ
+
+697
+01:07:26,110 --> 01:07:29,750
+links أربعة. إذا كان number of links is four، بسميها
+
+698
+01:07:29,750 --> 01:07:33,870
+simple. إذا كان عدد الـ links أكبر من أربعة، بسميها
+
+699
+01:07:33,870 --> 01:07:36,610
+آلية مركبة، compound mechanism.
+
+700
+01:07:42,450 --> 01:07:46,030
+When a mechanism is required to transmit power or
+
+701
+01:07:46,030 --> 01:07:50,670
+to do some useful work, we call the mechanism a
+
+702
+01:07:50,670 --> 01:07:56,990
+machine. نسميها آلة، لأن في آلية، mechanism، وفي آلة،
+
+703
+01:07:56,990 --> 01:08:00,410
+machine. mechanism هي عبارة عن kinematic chain in
+
+704
+01:08:00,410 --> 01:08:04,990
+which one element or one link is fixed. الـ machine
+
+705
+01:08:04,990 --> 01:08:10,410
+هي آلية، لكن بتنقل power أو قدرة. يعني زي الـ slotted
+
+706
+01:08:10,410 --> 01:08:15,820
+crank mechanism في الـ engine بتاع السيارة، بسميها
+
+707
+01:08:15,820 --> 01:08:19,760
+machine لأن بتنقل الـ power من الـ piston لـ الـ crank.
+
+708
+01:08:19,760 --> 01:08:25,280
+أو في حالة الـ compressor، بيكون الـ input عند الـ
+
+709
+01:08:25,280 --> 01:08:30,340
+crank. الموتور بيدور، بنقل الـ power، بيحولها لـ
+
+710
+01:08:30,340 --> 01:08:36,300
+pressure عند الـ piston. معناته، طيب
+
+711
+01:08:39,460 --> 01:08:43,380
+أن نجي لـ number of degrees of freedom for a plan
+
+712
+01:08:43,380 --> 01:08:49,220
+mechanism. عدد اللي هي درجات
+
+713
+01:08:49,220 --> 01:08:55,840
+الحرية أو درجات الحركة للآليات في المستوى. الـ
+
+714
+01:08:55,840 --> 01:08:59,580
+degrees of freedom هي عدد الـ input parameters
+
+715
+01:09:02,430 --> 01:09:08,810
+الممكن أتحكم فيها بشكل مستقل، عشان أوصل لـ الـ .. الـ ..
+
+716
+01:09:08,810 --> 01:09:10,090
+الـ .. الـ .. الـ .. الـ .. الـ .. الـ .. الـ .. الـ .. الـ
+
+717
+01:09:10,090 --> 01:09:10,410
+.. الـ .. الـ .. الـ .. الـ .. الـ .. الـ .. الـ .. الـ
+
+718
+01:09:10,410 --> 01:09:10,510
+الـ .. الـ .. الـ .. الـ .. الـ .. الـ .. الـ .. الـ .. الـ
+
+719
+01:09:10,510 --> 01:09:11,590
+.. الـ .. الـ .. الـ .. الـ .. الـ .. الـ .. الـ .. الـ ..
+
+720
+01:09:11,590 --> 01:09:12,410
+الـ .. الـ .. الـ .. الـ .. الـ .. الـ .. الـ .. الـ .. الـ
+
+721
+01:09:12,410 --> 01:09:13,370
+.. الـ .. الـ .. الـ .. الـ .. الـ .. الـ .. الـ .. الـ ..
+
+722
+01:09:13,370 --> 01:09:13,470
+الـ .. الـ .. الـ .. الـ .. الـ .. الـ .. الـ .. الـ .. الـ
+
+723
+01:09:13,470 --> 01:09:13,990
+.. الـ .. الـ .. الـ .. الـ .. الـ .. الـ .. الـ .. الـ ..
+
+724
+01:09:13,990 --> 01:09:16,250
+الـ .. الـ .. الـ .. الـ .. الـ .. الـ .. الـ .. الـ .. الـ
+
+725
+01:09:16,250 --> 01:09:19,370
+.. الـ ..
+
+726
+01:09:19,370 --> 01:09:24,510
+الـ .. الـ ..
+
+727
+01:09:24,510 --> 01:09:25,910
+الـ .. الـ .. الـ
+
+728
+01:09:30,740 --> 01:09:36,940
+بدي أحكي درجة انصهار، درجة انصهار أي مادة، درجة
+
+729
+01:09:36,940 --> 01:09:43,200
+انصهار أي مادة. مثلاً أحكي درجة انصهار المياه، بتعتمد
+
+730
+01:09:43,200 --> 01:09:52,720
+على الضغط ودرجة الحرارة. معناته أنا ممكن أغير الضغط
+
+731
+01:09:52,720 --> 01:09:56,700
+بشكل مستقل، ودرجة الحرارة بشكل مستقل، عشان أغير درجة
+
+732
+01:09:56,700 --> 01:10:03,430
+انصهار المياه. الـ output parameter هي درجة الانصهار.
+
+733
+01:10:03,430 --> 01:10:08,170
+الـ input parameters للتحكم في درجة الانصهار هي
+
+734
+01:10:08,170 --> 01:10:12,090
+الضغط ودرجة الحرارة. هذول الـ input parameters
+
+735
+01:10:12,090 --> 01:10:15,730
+بيسموهم الـ degrees of freedom، اللي هم هذول الـ
+
+736
+01:10:15,730 --> 01:10:20,270
+degrees of freedom اللي بتحكم فيها من خلالهم في
+
+737
+01:10:20,270 --> 01:10:26,530
+درجة انصهار المياه. معنى degrees of freedom لأي نظام
+
+738
+01:10:26,530 --> 01:10:29,410
+ميكانيكي، مش ضروري يكون في القليل فقط. degrees of
+
+739
+01:10:29,410 --> 01:10:33,370
+freedom هو number of independent input parameters
+
+740
+01:10:33,370 --> 01:10:36,610
+needed to control some output degrees of freedom.
+
+741
+01:10:36,610 --> 01:10:40,510
+Number of independent input parameters needed to
+
+742
+01:10:40,510 --> 01:10:46,690
+fully control some output. يعني to control the
+
+743
+01:10:46,690 --> 01:10:52,840
+melting temperature أو melting point of water. We
+
+744
+01:10:52,840 --> 01:10:59,000
+need to change pressure and temperature. يعني الـ
+
+745
+01:10:59,000 --> 01:11:01,180
+degrees of freedom في الحالة هذه تكون اتنين.
+
+746
+01:11:01,180 --> 01:11:05,600
+degrees of freedom تكون اتنين. لو احتجت متغير واحد
+
+747
+01:11:05,600 --> 01:11:10,720
+عشان أسيطر على متغير آخر، معناته تكون degrees of
+
+748
+01:11:10,720 --> 01:11:15,920
+freedom واحد. لو احتجت تلاتة parameters عشان أسيطر
+
+749
+01:11:15,920 --> 01:11:18,100
+على output معين، معناته degrees of freedom تكون
+
+750
+01:11:18,100 --> 01:11:18,720
+تلاتة.
+
+751
+01:11:21,910 --> 01:11:27,570
+نشوف عندنا هنا four bar linkage. four bar linkage
+
+752
+01:11:27,570 --> 01:11:40,290
+عندنا
+
+753
+01:11:40,290 --> 01:11:48,530
+link واحد، link اتنين، link تلاتة، link أربعة. الآن لو
+
+754
+01:11:48,530 --> 01:11:54,890
+حركت هذه الزاوية، لو حركت فقط الـ link اتنين، كلّه
+
+755
+01:11:54,890 --> 01:11:59,510
+هيتحرك معها. معناته what I need is to mobilize أو
+
+756
+01:11:59,510 --> 01:12:03,530
+أنه لازم أحرك اتنين عشان أحرك تلاتة وأربعة. معناته
+
+757
+01:12:03,530 --> 01:12:10,450
+محتاج أتحكم فقط في زاوية، زاوية الـ link اتنين. هذا
+
+758
+01:12:10,450 --> 01:12:14,270
+system، it has one degree of freedom. I need only
+
+759
+01:12:14,270 --> 01:12:17,370
+one parameter to control the motion of the whole
+
+760
+01:12:17,370 --> 01:12:21,010
+mechanism. عشان أنا بسمّيه number of degree، هذا one
+
+761
+01:12:21,010 --> 01:12:27,210
+degree of freedom system. نشوف
+
+762
+01:12:27,210 --> 01:12:31,910
+حالة ثانية، عندي
+
+763
+01:12:31,910 --> 01:12:33,270
+hand system.
+
+764
+01:12:43,060 --> 01:12:57,600
+هذه نقطة A، B، E، D، C. هذه link واحد، وهنا واحد. هذه
+
+765
+01:12:57,600 --> 01:13:04,900
+link اتنين، link تلاتة، link أربعة، و link خمسة.
+
+766
+01:13:29,250 --> 01:13:37,210
+لو حركت فقط بس link 2، لو حركت فقط بس link 2، ممكن
+
+767
+01:13:37,210 --> 01:13:42,710
+أحصل على أكثر من configuration للميكانيزم هذه. عشان
+
+768
+01:13:42,710 --> 01:13:47,190
+أحصل على one configuration، لازم أتحكم بـ two
+
+769
+01:13:47,190 --> 01:13:54,570
+parameters. لازم أتحكم بزاوية الـ link 2 والـ link 5.
+
+770
+01:13:54,570 --> 01:13:57,030
+يعني لازم أتحكم بـ θ1
+
+771
+01:14:01,160 --> 01:14:07,200
+وهذه θ2. To get one configuration of this
+
+772
+01:14:07,200 --> 01:14:13,180
+mechanism, I need to control both θ1 and
+
+773
+01:14:13,180 --> 01:14:17,980
+θ2. معناته أنا محتاج two input parameters to
+
+774
+01:14:17,980 --> 01:14:22,500
+get one specific configuration of this mechanism.
+
+775
+01:14:22,500 --> 01:14:24,880
+عشان كده بسمّي الـ system هذا two degrees of freedom
+
+776
+01:14:24,880 --> 01:14:26,980
+system. Two degrees of freedom system.
+
+777
+01:14:51,970 --> 01:14:57,170
+طيب، أي link .. أي link، لو حكيت هاي الـ X،
+
+778
+01:15:01,570 --> 01:15:05,690
+هذه الـ Y. أي link لحالها هيك، مش ممسوكة من أي
+
+779
+01:15:05,690 --> 01:15:12,370
+شيء في الـ 2D، مش ممسوكة من أي حد ماسكها، ممكن
+
+780
+01:15:12,370 --> 01:15:20,310
+تتحرك باتجاه الـ X واتجاه الـ Y، وممكن تدور. يعني
+
+781
+01:15:20,310 --> 01:15:28,250
+ممكن تتحرك X، Y، وتدور. معناته each link بشكل مستقل
+
+782
+01:15:29,250 --> 01:15:40,990
+لها تلاتة motions، لها تلاتة motions. إذا
+
+783
+01:15:40,990 --> 01:15:44,150
+عملت connection، مثلاً أنا عندي هاي link، هذه لحالها
+
+784
+01:15:44,150 --> 01:15:51,230
+free. هاي كان عندي link، link free في الأول، راحت هنا
+
+785
+01:15:51,230 --> 01:15:57,440
+حطيت revolute joint، حطيت revolute joint. لها هاي
+
+786
+01:15:57,440 --> 01:16:01,580
+واحدة، هاي اتنين. في الأول كانت تتحرك بالـ X، وممكن
+
+787
+01:16:01,580 --> 01:16:05,340
+تتحرك باتجاه الـ X واتجاه الـ Y، وممكن تدور، لها تلات
+
+788
+01:16:05,340 --> 01:16:12,280
+حركات. لكن مجرد ما حطيت وصلة هنا، صار مسموح لها
+
+789
+01:16:12,280 --> 01:16:19,380
+فقط تدور. معناته فقدت two degrees of freedom. يعني
+
+790
+01:16:19,380 --> 01:16:25,330
+each joint، بشكل عام each link، طالما هي مش متصلة بأي
+
+791
+01:16:25,330 --> 01:16:29,270
+link ثانية، لها three degrees of freedom. مجرد ما
+
+792
+01:16:29,270 --> 01:16:34,290
+أوصل وصلتها في another link، فقدت two degrees of
+
+793
+01:16:34,290 --> 01:16:38,450
+freedom. يعني each link بتخليها تفقد two degrees of
+
+794
+01:16:38,450 --> 01:16:45,650
+freedom. خليني
+
+795
+01:16:45,650 --> 01:16:50,850
+أطلع على الشكل هذا، عندي هنا link واحد،
+
+796
+01:16:56,040 --> 01:17:02,800
+مثبتة، وعندي link اتنين، وعندي
+
+797
+01:17:02,800 --> 01:17:11,160
+link تلاتة، وعندي link أربعة. لحظة، الـ link واحد ثابت،
+
+798
+01:17:11,160 --> 01:17:17,840
+لا بتتحرك لا في X ولا في Y ولا بالدوران. معناته مقيدة.
+
+799
+01:17:17,840 --> 01:17:19,880
+الـ degree of freedom بتاعتها صفر.  في الساعة، الها دي
+
+800
+01:17:19,880 --> 01:17:26,620
+ثلاث، حرّة، لها تلات حركات. يعني هنا تلاتة وتلاتة
+
+801
+01:17:26,620 --> 01:17:30,140
+حرّة، لها تلات حركات. تلاتة وتلاتة، ستة، وأربعة حرّة،
+
+802
+01:17:30,140 --> 01:17:34,500
+يعني تلاتة وتلاتة وتلاتة، هيكون الـ degree of
+
+803
+01:17:34,500 --> 01:17:38,760
+freedom في الحالة دي إيش تساوي؟ تسعة. لأن لو رحت ما
+
+804
+01:17:38,760 --> 01:17:45,520
+سكت، عندي هذه الـ link واحد، هذه
+
+805
+01:17:45,520 --> 01:17:49,920
+اتنين، تلاتة، أربعة. رحت ما سكت،
+
+806
+01:17:57,480 --> 01:18:04,340
+مسكت أربعة مع واحد من خلال، من خلال revolute joint.
+
+807
+01:18:04,340 --> 01:18:09,260
+معناته هذه صارت لها degree واحد، degree of freedom، وهذه
+
+808
+01:18:09,260 --> 01:18:13,900
+تلاتة، وهذه أربعة، وتلاتة، سبعة. معناته هنا degree of
+
+809
+01:18:13,900 --> 01:18:19,560
+freedom هنا تسعة، وهنا سبعة. رحت في حالة تالتة، رحت
+
+810
+01:18:19,560 --> 01:18:26,460
+مسكت هذه. واحد، link واحد، link اتنين، link تلاتة، link
+
+811
+01:18:26,460 --> 01:18:27,000
+أربعة.
+
+812
+01:18:34,270 --> 01:18:37,470
+مسكت اتنين وأربعة بالـ revolute joints. النقطة هذه،
+
+813
+01:18:37,470 --> 01:18:40,430
+النقطة هذه. معناته اتنين فقدت two degrees of
+
+814
+01:18:40,430 --> 01:18:44,710
+freedom. إذا عندك واحد، زاد واحد. اتنين زاد تلاتة،
+
+815
+01:18:44,710 --> 01:18:54,810
+ثلاثة degrees of freedom. عندك خمسة. خطوة تالتة، إذا
+
+816
+01:18:54,810 --> 01:19:00,670
+عندك ممسوك هنا، عندك واحد، اتنين، تلاتة، أربعة.
+
+817
+01:19:10,700 --> 01:19:13,120
+مسكت تلاتة في أربعة عند النقطة هذه بـ revolute
+
+818
+01:19:13,120 --> 01:19:18,860
+joint. معناته عند هنا صارت واحد، واحد، واحد، واحد. صار
+
+819
+01:19:18,860 --> 01:19:24,240
+الـ degree of freedom عندي إيش؟ تلاتة. آخر شيء، روح
+
+820
+01:19:24,240 --> 01:19:27,080
+اتمسكت كل الـ links من خلال الـ revolute joints. هاي
+
+821
+01:19:27,080 --> 01:19:32,400
+عندي link واحد، وهي link اتنين، وهي revolute joint،
+
+822
+01:19:32,400 --> 01:19:39,400
+وهي link تلاتة، وهي link أربعة.
+
+823
+01:19:49,730 --> 01:19:53,030
+في الحالة هذه، الـ degrees of freedom واحد. I
+
+824
+01:19:53,030 --> 01:19:56,290
+need only one parameter to control the motion of
+
+825
+01:19:56,290 --> 01:20:02,450
+the mechanism. معناته when a link is connected to a
+
+826
+01:20:02,450 --> 01:20:05,630
+fixed link by a turning pair, two degrees of
+
+827
+01:20:05,630 --> 01:20:13,730
+freedom are lost or destroyed. احنا
+
+828
+01:20:13,730 --> 01:20:18,980
+حكينا الميكانيزم عبارة عن kinematic chain in which
+
+829
+01:20:18,980 --> 01:20:24,140
+link in which
+
+830
+01:20:24,140 --> 01:20:28,200
+حكينا الميكانيزم is a kinematic chain in which one
+
+831
+01:20:28,200 --> 01:20:37,700
+of the lengths of the links is fixed. في
+
+832
+01:20:37,700 --> 01:20:43,680
+ميكانيزم، حكينا أحد الـ links لازم تكون ثابتة. معناته
+
+833
+01:20:43,680 --> 01:20:49,320
+عدد الـ links اللي قابلة للحركة، سأطرح واحد، سيكون عدد
+
+834
+01:20:49,320 --> 01:20:52,140
+الـ links ناقص واحد. عدد الـ links القابلة للحركة
+
+835
+01:20:52,140 --> 01:20:56,700
+سيكون L ناقص واحد. الـ total number of degrees of
+
+836
+01:20:56,700 --> 01:21:01,240
+freedom للـ links اللي هي L ناقص واحد. قبل ما
+
+837
+01:21:01,240 --> 01:21:06,060
+أوصلها بـ any other link، سيكون كل واحدة تلاتة، تلاتة
+
+838
+01:21:06,060 --> 01:21:09,240
+في L ناقص واحد. معناته total number of degrees of
+
+839
+01:21:09,240 --> 01:21:14,020
+freedom before connecting any link to any other
+
+840
+01:21:14,020 --> 01:21:16,360
+link ستكون تلاتة في L ناقص واحد.
+
+841
+01:21:22,220 --> 01:21:25,660
+الآن، هنجي للمعادلة العامة لتحديد degrees of
+
+842
+01:21:25,660 --> 01:21:29,920
+freedom of a mechanism. Number of degrees of
+
+843
+01:
+
+889
+01:25:21,930 --> 01:25:22,810
+structure
+
+890
+01:25:33,420 --> 01:25:37,900
+عندي four-bar linkage، link واحد، اتنين، تلاتة، أربعة
+
+891
+01:25:37,900 --> 01:25:44,750
+وأربعة joints. يعني عندي هنا الـ L أربعة، والـ J بيستوي
+
+892
+01:25:44,750 --> 01:25:50,910
+أربعة. معناته الـ N والـ H بيستويا صفر. N هتساوى تلاتة
+
+893
+01:25:50,910 --> 01:25:55,970
+في أربعة ناقص واحد ناقص اتنين، في أربعة ناقص صفر
+
+894
+01:25:55,970 --> 01:25:59,690
+يعني تلاتة في تلاتة، تسعة ناقص ثمانية ناقص صفر
+
+895
+01:25:59,690 --> 01:26:03,650
+بالصفر واحد. معناته هذا degrees of freedom واحد.
+
+896
+01:26:03,650 --> 01:26:10,450
+need to only move one link to control the whole
+
+897
+01:26:10,450 --> 01:26:14,460
+mechanism. عند التانية هذه، عندي أكمل link واحد،
+
+898
+01:26:14,460 --> 01:26:20,520
+اتنين، تلاتة، أربعة، خمسة links عندي هنا عند
+
+899
+01:26:20,520 --> 01:26:25,580
+الـ number of links بيساوى خمسة، الـ number of
+
+900
+01:26:25,580 --> 01:26:33,720
+joints، في عندي هنا binary، عندي واحد، واحد، اتنين، زائد
+
+901
+01:26:33,720 --> 01:26:39,860
+عندي وصلة ثلاثية واحد، اتنين، زائد تلاتة، زائد اتنين
+
+902
+01:26:39,860 --> 01:26:45,430
+في اتنين، يعني هيكون ستة. الـ J الآن في الحلقة دي
+
+903
+01:26:45,430 --> 01:26:52,320
+هتستوى ستة. في خمسة ناقص واحد ناقص اتنين في ستة
+
+904
+01:26:52,320 --> 01:26:57,340
+ناقص صفر، يعني هيكون تلاتة في أربعة، اتناشر ناقص
+
+905
+01:26:57,340 --> 01:27:01,620
+اتناشر ناقص صفر، بيساوى صفر، بيبين اللي هتتحرك من عنده
+
+906
+01:27:01,620 --> 01:27:05,600
+it is a structure and it has zero degrees of
+
+907
+01:27:05,600 --> 01:27:10,140
+freedom. ننتقل للميكانيزم هذه، واحد، اتنين، تلاتة
+
+908
+01:27:10,140 --> 01:27:19,340
+أربعة، خمسة links. الخمسة links، الـ L بيساوى خمسة، length
+
+909
+01:27:19,340 --> 01:27:26,720
+والـ J عندي خمسة joints، والـ H بيساوى صفر. معناته
+
+910
+01:27:26,720 --> 01:27:32,160
+الآن بيساوى تلاتة في خمسة ناقص واحد ناقص اتنين
+
+911
+01:27:32,160 --> 01:27:37,640
+في خمسة، يعني هيكون بيساوى اتناشر ناقص عشرة، بيساوى
+
+912
+01:27:37,640 --> 01:27:40,260
+اتنين. معناته الـ degrees of freedom في الحالة هذه
+
+913
+01:27:40,260 --> 01:27:47,420
+اتنين. I need to control the motion of two links to
+
+914
+01:27:47,420 --> 01:27:51,520
+get a specific configuration of the mechanism. معنى
+
+915
+01:27:51,520 --> 01:27:58,480
+degrees of freedom. عندي H تساوى اتنين. مثال
+
+916
+01:27:58,480 --> 01:28:05,040
+ثالث، عندي
+
+917
+01:28:05,040 --> 01:28:14,960
+cam وعندي
+
+918
+01:28:14,960 --> 01:28:15,340
+follower
+
+919
+01:28:22,340 --> 01:28:27,700
+عند الـ links، الـ link واحد، والـ link اتنين، والـ link
+
+920
+01:28:27,700 --> 01:28:34,820
+تلاتة. عند الـ number of links، بيساوى تلاتة. الـ
+
+921
+01:28:34,820 --> 01:28:41,400
+joints عندي
+
+922
+01:28:41,400 --> 01:28:45,060
+عند الـ joints، هين one lower pair joint، one
+
+923
+01:28:45,060 --> 01:28:50,480
+lower pair joint، هين اثنين زائد عندي higher
+
+924
+01:28:50,480 --> 01:29:01,210
+pair joint. هين عندي هنا الـ J بيساوى اتنين، والـ H عند
+
+925
+01:29:01,210 --> 01:29:06,530
+higher pair، لأن عندي هنا line contact واحد. معناته
+
+926
+01:29:06,530 --> 01:29:12,510
+الـ N هتساوي تلاتة في تلاتة ناقص واحد ناقص اتنين في
+
+927
+01:29:12,510 --> 01:29:18,750
+اتنين ناقص واحد، هتساوي تلاتة في اتنين، ستة ناقص أربعة
+
+928
+01:29:18,750 --> 01:29:22,030
+ناقص واحد، واحد
+
+929
+01:29:24,980 --> 01:29:31,140
+معناته الـ degrees of freedom is one. يعني either I
+
+930
+01:29:31,140 --> 01:29:35,000
+rotate this link to control the motion of this bar
+
+931
+01:29:35,000 --> 01:29:40,060
+أو I rotate this part to control the rotation of
+
+932
+01:29:40,060 --> 01:29:42,980
+this mechanism. لكن هو على الأغلب بيكون أنا هدور
+
+933
+01:29:42,980 --> 01:29:45,980
+الـ cam هذه عشان أتحكم في حركة الـ bar هذا. يعني هذا
+
+934
+01:29:45,980 --> 01:29:49,420
+هو هذه الـ cam وهذا الـ follower.
+
+935
+01:29:57,160 --> 01:30:03,140
+نأخذ المثال... نأخذ اللي هو المثال الأخير وننهي
+
+936
+01:30:03,140 --> 01:30:13,400
+المحاضرة. أنا
+
+937
+01:30:13,400 --> 01:30:21,660
+عندي هنا link واحد أو link اتنين أو link تلاتة و
+
+938
+01:30:21,660 --> 01:30:32,250
+هنا في عندي اربعة links، اتنين، تلاتة، أربعة wheels. عند
+
+939
+01:30:32,250 --> 01:30:38,410
+الـ number of links بيساوى أربعة. number of lower
+
+940
+01:30:38,410 --> 01:30:42,190
+pair joints عندي، هاي الـ lower pair، واحد، اتنين،
+
+941
+01:30:42,190 --> 01:30:49,250
+تلاتة، وعندي الـ higher pair joints عندي joint واحد.
+
+942
+01:30:49,250 --> 01:30:50,850
+واحد
+
+943
+01:30:53,800 --> 01:30:59,760
+معناته الـ N هتساوي تلاتة في الـ L ناقص واحد ناقص
+
+944
+01:30:59,760 --> 01:31:05,520
+اتنين J ناقص H. هتكون تلاتة في أربعة ناقص واحد ناقص
+
+945
+01:31:05,520 --> 01:31:11,720
+اتنين في تلاتة ناقص واحد، يعني هيكون تسعة ناقص ستة
+
+946
+01:31:11,720 --> 01:31:18,650
+ناقص واحد، بيساوى اتنين. I need two degrees of freedom
+
+947
+01:31:18,650 --> 01:31:23,150
+is two. I need two parameters to control the motion
+
+948
+01:31:23,150 --> 01:31:25,050
+of this mechanism.
+
+949
+01:31:31,490 --> 01:31:36,830
+بنكون اليوم، يعني أنهينا المحاضرة، الجاية بنكمل
+
+950
+01:31:36,830 --> 01:31:42,570
+باقي الـ... الـ chapters. بنصحكم تطلعوا على الـ
+
+951
+01:31:42,570 --> 01:31:47,850
+model، في حاطط مجموعة كبيرة، ممكن حوالي يعني أكثر من
+
+952
+01:31:47,850 --> 01:31:51,630
+عشرة videos بتحاكي حركة الميكانيزم لكل chapter.
+
+953
+01:31:51,630 --> 01:31:56,930
+video يعني رائع جداً، بنصحكم تتفرجوا عليها، وعليكم
+
+954
+01:31:56,930 --> 01:31:57,210
+العافية.
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/0SgUfAugAm0_postprocess.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/0SgUfAugAm0_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0691a4febe6734b542680ee82a7446082a15e472
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/0SgUfAugAm0_postprocess.srt
@@ -0,0 +1,3816 @@
+1
+00:00:05,250 --> 00:00:08,710
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,710 --> 00:00:12,570
+وبركاته اليوم هنستكمل محاضراتنا في مادة نظرية
+
+3
+00:00:12,570 --> 00:00:16,810
+القلات اليوم هكون chapter جديد بعنوان القاليات
+
+4
+00:00:16,810 --> 00:00:18,410
+البسيطة simple mechanisms
+
+5
+00:00:21,550 --> 00:00:29,110
+يعني هنبدأ المحاضرة بتقديم بسيط الأليات أو ال
+
+6
+00:00:29,110 --> 00:00:33,490
+mechanisms أو ال linkages موجودة بكثرة في المعدات
+
+7
+00:00:33,490 --> 00:00:38,710
+و المكان سواء كانت معدات ثقيلة أو خفيفةبنجدها ال
+
+8
+00:00:38,710 --> 00:00:41,470
+.. ال .. ال mechanisms في ال .. في ال engine بتاع
+
+9
+00:00:41,470 --> 00:00:44,630
+السيارة ان ال sludder crank mechanism في مكاين
+
+10
+00:00:44,630 --> 00:00:51,550
+الخياطة في .. في .. في معدات النفط متوفرة ..
+
+11
+00:00:51,550 --> 00:00:55,810
+موجودة كتير و في كثير من المعدات وبالتالي دراستها
+
+12
+00:00:55,810 --> 00:01:01,470
+بشكل مفصل ومشكل معمق أصبح ضرورة من أجل تصميمها
+
+13
+00:01:01,470 --> 00:01:06,380
+بطريقة سليمة وطريقة لائقةبما يحقق الهدف من هذه
+
+14
+00:01:06,380 --> 00:01:11,580
+الآلية وبما يحقق إنتاجها وتصنيعها بأقل التكاليف
+
+15
+00:01:11,580 --> 00:01:22,080
+الآن هنبدأ نعرف بعض التعريف الآن أيه لو أخدنا آلية
+
+16
+00:01:22,080 --> 00:01:31,240
+زي هيك هل
+
+17
+00:01:31,240 --> 00:01:31,840
+سميه slider
+
+18
+00:01:34,880 --> 00:01:42,120
+crank mechanism قلية
+
+19
+00:01:42,120 --> 00:01:55,940
+تانية الها
+
+20
+00:01:55,940 --> 00:02:00,540
+اسم four bar mechanism
+
+21
+00:02:07,960 --> 00:02:12,320
+اللحظة اي قالية مكونة من مجموعة من ال elements او
+
+22
+00:02:12,320 --> 00:02:17,600
+ال links يعني هذه بسميها ال link هذه ال link الأرض
+
+23
+00:02:17,600 --> 00:02:22,320
+link ثابتة هاي واحد اتنين ال crank link ال
+
+24
+00:02:22,320 --> 00:02:26,600
+connecting rod ال linkال .. ال slider link يعني
+
+25
+00:02:26,600 --> 00:02:31,920
+القليها مكونة من أربعة link ال four بقى برضه عندي
+
+26
+00:02:31,920 --> 00:02:39,260
+الأرض link ثابتة link لكرانك link اتنين connecting
+
+27
+00:02:39,260 --> 00:02:45,740
+رد link تلاتة ال follower link أربعة فأي قلية
+
+28
+00:02:45,740 --> 00:02:50,340
+مكونة من مجموعة من الأعضاء أو العناصر أو الواصلات
+
+29
+00:02:51,650 --> 00:02:54,490
+معنى لو كنت عرف ال .. ال .. في عندي kinematic link
+
+30
+00:02:54,490 --> 00:02:57,970
+او element each part of a machine هذا .. this is
+
+31
+00:02:57,970 --> 00:03:00,830
+part of a machine which moves related to some
+
+32
+00:03:00,830 --> 00:03:04,630
+other part يعني ال link اتنين اتحرك بالنسبة للأرض
+
+33
+00:03:04,630 --> 00:03:07,030
+و التلاتة اتحرك بالنسبة للاتنين و الأرض اتحرك
+
+34
+00:03:07,030 --> 00:03:08,550
+بالنسبة للتلاتة و الأرض اتحرك بالنسبة لل .. يعني
+
+35
+00:03:09,310 --> 00:03:12,310
+Each link has a relative motion with respect to
+
+36
+00:03:12,310 --> 00:03:16,870
+other parts in the mechanism نفس الأشياء، link 2
+
+37
+00:03:16,870 --> 00:03:21,130
+تتحرك بالنسبة ل 1 و link 3 تتحرك بالنسبة ل 2 و 4
+
+38
+00:03:21,130 --> 00:03:25,630
+تتحرك بالنسبة ل 1 و 4 تتحرك بالنسبة ل 3 ففي اللي
+
+39
+00:03:25,630 --> 00:03:29,250
+هي ال link أو ال kinematic link هي part of a
+
+40
+00:03:29,250 --> 00:03:32,330
+machine which moves relative to some other part in
+
+41
+00:03:32,330 --> 00:03:38,130
+the machineفي عندى ما يسمى resistance body
+
+42
+00:03:38,130 --> 00:03:43,050
+resistance body يعني الجسم المقاوم ال resistance
+
+43
+00:03:43,050 --> 00:03:47,010
+body اللي بيكون قادر على نقل القوة بدون ما يصير
+
+44
+00:03:47,010 --> 00:03:50,110
+فيه اي تشوهات او بدون ما يصير فيه اي deformation
+
+45
+00:03:50,110 --> 00:03:52,590
+معناه ان ال resistance body is capable of
+
+46
+00:03:52,590 --> 00:03:56,010
+transmitting forces with no deformation
+
+47
+00:03:59,070 --> 00:04:02,610
+ال link احنا حكينا الميكانيزم تتكون مجموعة links
+
+48
+00:04:02,610 --> 00:04:08,550
+link 1 link 2 link 3 link 4 ال link لها خاصيتين ال
+
+49
+00:04:08,550 --> 00:04:13,480
+link has two characteristics أول شيءit should have
+
+50
+00:04:13,480 --> 00:04:17,400
+relative motion with respect to other links يعني
+
+51
+00:04:17,400 --> 00:04:19,560
+ال link هذه لازم يكون لها حركة بالنسبة لل links
+
+52
+00:04:19,560 --> 00:04:24,320
+التانية فهي رقم واحد اتنين it must be a resistant
+
+53
+00:04:24,320 --> 00:04:27,160
+body لازم يكون resistant body يعني مش لازم يسير
+
+54
+00:04:27,160 --> 00:04:33,140
+فيها اي انحنقات او اي تشوهات خلال الحركة يعني لازم
+
+55
+00:04:33,140 --> 00:04:38,400
+يكون فيها no deformation هيكون rigidمعناته a link
+
+56
+00:04:38,400 --> 00:04:41,520
+should .. او a link has two characteristics أول
+
+57
+00:04:41,520 --> 00:04:44,260
+إشي it should have relative motion with respect to
+
+58
+00:04:44,260 --> 00:04:48,500
+other links اتنين it must be a resistant body
+
+59
+00:04:48,500 --> 00:04:51,900
+اللينكات
+
+60
+00:04:51,900 --> 00:04:59,380
+في أنواع من ال links في عندي rigid link زي هذه
+
+61
+00:04:59,380 --> 00:05:06,160
+هعندي rigid link هعندي rigid linkRigid link does
+
+62
+00:05:06,160 --> 00:05:09,780
+not undergo any deformation while transmitting
+
+63
+00:05:09,780 --> 00:05:15,640
+motion هذا ال link لا يتغير في أبعادها أو شكلها
+
+64
+00:05:15,640 --> 00:05:20,480
+خلال نقل الحركة ال link تلاتة ما بيصير تغير في
+
+65
+00:05:20,480 --> 00:05:25,940
+أبعادها ولا تغير في شكلها خلال نقل الحركة بسميها
+
+66
+00:05:25,940 --> 00:05:32,760
+rigid rigid link فاندي flexible link flexible link
+
+67
+00:05:32,760 --> 00:05:39,490
+بيصيرpartial deformation بطريقة بحيث ماتأثرش على
+
+68
+00:05:39,490 --> 00:05:45,210
+الحركة يعني لو انا عنده عند هاي poly هنا بكرة و في
+
+69
+00:05:45,210 --> 00:05:51,110
+poly أقبلها هاي
+
+70
+00:05:51,110 --> 00:05:58,170
+مركز ال poly هذه هاي مركز ال poly هذه عند الأرض
+
+71
+00:05:58,170 --> 00:06:08,210
+واحد link رقم واحدالـ poly هذه رقم اتنين والحبل
+
+72
+00:06:08,210 --> 00:06:16,830
+رقم تلاتة وهذه ال poly رقم اربعة لاحظوا
+
+73
+00:06:16,830 --> 00:06:19,830
+ال link ال link اتنين و ال link اربعة ال rigid
+
+74
+00:06:19,830 --> 00:06:24,650
+links بتتغيرش شكلها ولا حجمها خلال الحركة ال link
+
+75
+00:06:24,650 --> 00:06:25,810
+تلاتة اللي هي الحبل
+
+76
+00:06:30,220 --> 00:06:35,300
+بتغير شكله لأن بيصير هنا يلف حوالين البكرة بتغير
+
+77
+00:06:35,300 --> 00:06:38,100
+يعني بيصير فيه deformation هو يلف بيكون يطعج يلف
+
+78
+00:06:38,100 --> 00:06:41,800
+معاه لكن ما بيأثر على الحركة الحركة بين اتنين و
+
+79
+00:06:41,800 --> 00:06:47,780
+اربعة ما بتتأثر بالتغير بالشكل او بال deformation
+
+80
+00:06:47,780 --> 00:06:52,120
+اللي بيصير بال link تلاتة النوع التاني من ال links
+
+81
+00:06:52,120 --> 00:07:00,350
+اللي هي ال fluid link ال fluid linkيتم نقل الحركة
+
+82
+00:07:00,350 --> 00:07:07,190
+بيد الأعضاء الميكانيكية من خلال سائل أو غاز يعني
+
+83
+00:07:07,190 --> 00:07:16,290
+ناخد مثال بسيط عندي
+
+84
+00:07:16,290 --> 00:07:21,550
+هنا مكبس و
+
+85
+00:07:21,550 --> 00:07:24,210
+عندي هنا كمان مكبس صغير
+
+86
+00:07:29,350 --> 00:07:41,210
+و في عندهين فئة سائل زيت عندهين
+
+87
+00:07:41,210 --> 00:07:45,030
+زيت و
+
+88
+00:07:45,030 --> 00:07:55,830
+عندهين piston و عندهين piston ازدغط
+
+89
+00:07:55,830 --> 00:08:03,350
+ب forceع ال piston هذا F1 ال piston هذا هيضغط ال
+
+90
+00:08:03,350 --> 00:08:09,590
+fluid الفلود هيطلع ال piston التاني لأعلى يعني
+
+91
+00:08:09,590 --> 00:08:13,490
+إذا ال piston رقم واحد نزل ال piston التاني بطلع
+
+92
+00:08:14,710 --> 00:08:19,750
+لأن واضح إن هذا this is fluid this is rigid link
+
+93
+00:08:19,750 --> 00:08:22,830
+and this is rigid link انتقلت الحركة من هذا ال
+
+94
+00:08:22,830 --> 00:08:27,050
+piston لهذا ال piston من خلال الزيت، الزيت في
+
+95
+00:08:27,050 --> 00:08:30,850
+الحالة هات بيسمي وصلة مائعة، وصلة مائعة اللي هي
+
+96
+00:08:30,850 --> 00:08:36,460
+ممكن تكون سائل أو غازمعناته ال links بتيجي على تلت
+
+97
+00:08:36,460 --> 00:08:39,720
+أنواع ال rigid link اللي مابيصيرش فيها تغير في
+
+98
+00:08:39,720 --> 00:08:44,360
+الشكل أو الأبعاد خلال نقل الحركة النوع التان ال
+
+99
+00:08:44,360 --> 00:08:48,520
+flex و ال link اللي بيصير فيها deformation خلال
+
+100
+00:08:48,520 --> 00:08:51,320
+نقل الحركة بطريقة بحيث ماتأثرش على الحركة
+
+101
+00:08:51,320 --> 00:08:55,760
+الإجمالية للميكانزم زي حالة ال .. ال .. ال .. ال
+
+102
+00:08:55,760 --> 00:08:59,640
+poles النوع التان ال fluid link ال fluid link يعني
+
+103
+00:08:59,640 --> 00:09:02,600
+بيصير نقد الحركة من خلال ال fluid
+
+104
+00:09:05,710 --> 00:09:10,050
+زي فكرة اللي هو ال jack بتاع السيارة أو ال
+
+105
+00:09:10,050 --> 00:09:17,690
+hydraulic cylinders في الأليات الثقيلة لأ
+
+106
+00:09:17,690 --> 00:09:23,400
+أنا الحمد لله اتعرفالهيكل والقليات فين دي ما يسمى
+
+107
+00:09:23,400 --> 00:09:28,660
+structure هيكل ال structure عبارة عن مجموعة من ال
+
+108
+00:09:28,660 --> 00:09:33,280
+resistant bodies having no relative motion among
+
+109
+00:09:33,280 --> 00:09:36,120
+them and meant for carrying loads ال structure
+
+110
+00:09:36,120 --> 00:09:42,800
+بيكون عبارة عن القطع أو الأجزاء اللي ما بتتحرك وما
+
+111
+00:09:42,800 --> 00:09:47,860
+بيصيرش فيها deformationو الهدف منه حمل الحمل
+
+112
+00:09:47,860 --> 00:10:05,700
+الأحمال يعني ما تشوفه معرش هذا
+
+113
+00:10:05,700 --> 00:10:06,340
+عبارة عن structure
+
+114
+00:10:09,390 --> 00:10:13,310
+ال structure ما بنقل حركة ال structure الهدف منه
+
+115
+00:10:13,310 --> 00:10:20,950
+ان يشيل بحمله بس it does not transform motion
+
+116
+00:10:20,950 --> 00:10:24,670
+امثلة
+
+117
+00:10:24,670 --> 00:10:29,390
+تانية عن ال structures لو
+
+118
+00:10:29,390 --> 00:10:35,360
+بدنا نعمل مقارنة بين ال structure و ال machineفي
+
+119
+00:10:35,360 --> 00:10:41,200
+ال structure الهياكل parts move parts في ال
+
+120
+00:10:41,200 --> 00:10:44,720
+machine parts move relative to one another في ال
+
+121
+00:10:44,720 --> 00:10:48,040
+machine الأجزاء بتاعة الماكن تتحرك بالنسبة لبعضها
+
+122
+00:10:48,040 --> 00:10:51,860
+في ال structure ال parts ما بتتحرك بالنسبة لبعضها
+
+123
+00:10:51,860 --> 00:10:57,600
+ثابتة في ال machinewe transform a value of energy
+
+124
+00:10:57,600 --> 00:11:01,440
+into useful work بنحول الطاقة الموجودة على شكل على
+
+125
+00:11:01,440 --> 00:11:07,200
+شكل شغل مفيد يعني عندي كهربا مثلا بحولها لحركة أو
+
+126
+00:11:07,200 --> 00:11:14,320
+عندي حركة بحولها لكهربا أو عندي حركة هوا بحولها
+
+127
+00:11:14,320 --> 00:11:19,680
+لحركة دورانية فانا بحول الطاقة الموجودة عنده لشغل
+
+128
+00:11:19,680 --> 00:11:24,070
+مفيدفي ال .. في ال structure no energy is
+
+129
+00:11:24,070 --> 00:11:27,650
+transformed into useful ore ماصارش تحويل لأي شكل و
+
+130
+00:11:27,650 --> 00:11:31,750
+أشكال الطاقة عندي هيكل و شاي الأحمال بس ال machine
+
+131
+00:11:33,120 --> 00:11:36,420
+ال links may transmit both power and motion ال
+
+132
+00:11:36,420 --> 00:11:40,320
+links .. اللينكات بتاعة أو أجزاء الماكينة بتنقل ال
+
+133
+00:11:40,320 --> 00:11:44,960
+.. ال power قدرة يعني و .. و .. and motion زاد
+
+134
+00:11:44,960 --> 00:11:48,200
+forces في ال structure parts of a structure
+
+135
+00:11:48,200 --> 00:11:51,060
+transmit forces only في ال structure أو الهيكل
+
+136
+00:11:51,060 --> 00:11:55,620
+الأجزاء بتنقل ال forces من جزء لجزء فقط مافي أي
+
+137
+00:11:55,620 --> 00:11:56,060
+حركة
+
+138
+00:12:00,860 --> 00:12:06,680
+في عندي ال pair ال pair two links of a machine in
+
+139
+00:12:06,680 --> 00:12:10,200
+contact with each other يعني نرجع على ال slotted
+
+140
+00:12:10,200 --> 00:12:23,700
+crank هذه
+
+141
+00:12:23,700 --> 00:12:29,000
+link واحد link اتنين link تلاتة link اربعة
+
+142
+00:12:32,930 --> 00:12:35,650
+عندي link واحد و link اتنين they are in contact
+
+143
+00:12:35,650 --> 00:12:39,290
+with each other معناته هدول pair واحد اتنين pair
+
+144
+00:12:39,290 --> 00:12:42,750
+زوج عندي link اتنين تلاته بينهم contact عند ال
+
+145
+00:12:42,750 --> 00:12:47,390
+joint هدى معناته هدول بسميهم pair تلاتة و اربعة
+
+146
+00:12:47,390 --> 00:12:51,530
+عندهم contact عند ال joint هدى بسميهم اياش pair
+
+147
+00:12:51,530 --> 00:12:56,290
+اربعة و واحد they are we have sliding بين اربعة و
+
+148
+00:12:56,290 --> 00:13:00,930
+واحد معناته اربعة و واحد they are a pair عندي هنا
+
+149
+00:13:00,930 --> 00:13:02,210
+four pairs
+
+150
+00:13:07,880 --> 00:13:11,180
+الان بدي اعرف kinematic pair في ال kinematic pair
+
+151
+00:13:11,180 --> 00:13:13,460
+the relative motion between the links is
+
+152
+00:13:13,460 --> 00:13:16,480
+completely or successfully constrained في حالة ال
+
+153
+00:13:16,480 --> 00:13:21,000
+kinematic pair بيكون الحركة النسبية بين ال links
+
+154
+00:13:21,000 --> 00:13:26,520
+مسيطر عليها بشكل كامل او مسيطر عليها بشكل ناجح لان
+
+155
+00:13:26,520 --> 00:13:33,800
+هنفهم ايش يعني مسيطر بشكل كامل او مسيطر بشكل ناجح
+
+156
+00:13:33,800 --> 00:13:41,520
+او خلنا ناخد تعبير اكتر دقةيعني مقيد بشكل كامل أو
+
+157
+00:13:41,520 --> 00:13:46,600
+مقيد بشكل ناجح مانعتوا عندي؟ Canematic pair the
+
+158
+00:13:46,600 --> 00:13:48,920
+relative motion between the lengths is completely
+
+159
+00:13:48,920 --> 00:13:52,840
+constrained or successfully constrained
+
+160
+00:13:56,020 --> 00:14:01,400
+الان ايش أنواع الحركة المقيدة الحركة المقيدة بتيجي
+
+161
+00:14:01,400 --> 00:14:04,860
+على التلت أنواع في completely constrained motion
+
+162
+00:14:04,860 --> 00:14:09,860
+يعني حركة مقيدة بشكل كامل incompletely constrained
+
+163
+00:14:09,860 --> 00:14:15,880
+motion حركة غير .. حركة مقيدة بشكل غير ك
+
+164
+00:14:15,880 --> 00:14:20,290
+incomplete يعنيمافيش تقييد كامل النوع التالت
+
+165
+00:14:20,290 --> 00:14:23,630
+successfully constrained motion حركة مقيدة بشكل
+
+166
+00:14:23,630 --> 00:14:28,290
+ناجح يعني تلت أنواع من الحركة المقيدة completely
+
+167
+00:14:28,290 --> 00:14:30,790
+constrained motion and completely constrained
+
+168
+00:14:30,790 --> 00:14:35,730
+motion و successfully constrained motion نيجي
+
+169
+00:14:35,730 --> 00:14:39,470
+للنوع الأول من الحركة المقيدة ال completely
+
+170
+00:14:39,470 --> 00:14:45,850
+constrained motionبتكون الحركة بين ال .. ال .. ال
+
+171
+00:14:45,850 --> 00:14:48,230
+.. a pair is limited to a definite direction
+
+172
+00:14:48,230 --> 00:14:51,030
+irrespective of the direction of the applied force
+
+173
+00:14:51,030 --> 00:14:54,650
+بتكون الحركة في اتجاه واحد بغض النظر عن اتجاه
+
+174
+00:14:54,650 --> 00:15:00,210
+القوة يعني انا عندي هنا block عشكل متوازن و مستلات
+
+175
+00:15:00,210 --> 00:15:05,910
+و فيه ثقوب و فيه shaft مقطع و مربع الان ال shaft
+
+176
+00:15:05,910 --> 00:15:10,230
+لو اثرت باتجاه ال force بهذا الاتجاه او بهذا
+
+177
+00:15:10,230 --> 00:15:14,640
+الاتجاهالـ shaft هيتحرك only in this direction
+
+178
+00:15:14,640 --> 00:15:18,340
+مسموح تتحرك بهذا الاتجاه، معناته هذه الحركة حركة
+
+179
+00:15:18,340 --> 00:15:25,500
+مقيدة بشكل كامل نقعد حالة تانية عندي hub وعندي
+
+180
+00:15:25,500 --> 00:15:30,400
+shaft وعندي hand collar و hand collar ال shaft
+
+181
+00:15:30,400 --> 00:15:37,030
+مسموح له يدور مسموح له يدورلكن ممنوع ان يتحرك بهذا
+
+182
+00:15:37,030 --> 00:15:41,170
+الاتجاه ممنوع ان يتحرك بهذا الاتجاه معناته الحركة
+
+183
+00:15:41,170 --> 00:15:45,330
+مسموحة في اتجاه واحد اللي هو الدوران في الحالة هذه
+
+184
+00:15:45,330 --> 00:15:53,950
+ال motion is completely constrained في
+
+185
+00:15:53,950 --> 00:15:56,510
+النوع التاني اللي هو in completely constrained
+
+186
+00:15:56,510 --> 00:16:03,660
+motionالـ motion between the pair can take place
+
+187
+00:16:03,660 --> 00:16:05,980
+in more than one direction الحركة ممكن تكون في
+
+188
+00:16:05,980 --> 00:16:11,740
+أكتر من اتجاه يعني أنا عندي هنا مبين عنديHub فيها
+
+189
+00:16:11,740 --> 00:16:15,140
+ثقب وفيه shaft ال shaft ممكن يتحرك باتجاه ال axle
+
+190
+00:16:15,140 --> 00:16:19,660
+direction او ممكن يدور معناته ممكن يتحرك او باتجاه
+
+191
+00:16:19,660 --> 00:16:25,580
+الدوران او باتجاه ال axle معناته we have motion in
+
+192
+00:16:25,580 --> 00:16:28,780
+more than one direction علشان هيك بحكي هذه الحركة
+
+193
+00:16:28,780 --> 00:16:30,620
+is incompletely constrained
+
+194
+00:16:37,280 --> 00:16:41,580
+النوع التالت من الحركة المقيدة هي successfully
+
+195
+00:16:41,580 --> 00:16:46,240
+constrained motion ال motion between the elements
+
+196
+00:16:46,240 --> 00:16:51,900
+forming a pair is such that the constrained motion
+
+197
+00:16:51,900 --> 00:16:56,500
+is not completed by itself but by some other means
+
+198
+00:16:56,500 --> 00:17:02,500
+في الحركة المقيدة بشكل ناجح ال motion بين العناصر
+
+199
+00:17:02,500 --> 00:17:09,740
+المكونة لل pair لم تقيدمن تلقاء ذاتها وانما تم
+
+200
+00:17:09,740 --> 00:17:16,800
+تقييدها باسم أو بوسائل او بوسائل اخرى نشوف مثلا
+
+201
+00:17:16,800 --> 00:17:26,160
+عندي هنا shaft عندي قطع فيها hole وفيه shaft وفي
+
+202
+00:17:26,160 --> 00:17:33,470
+عنده ممكن هذا يدور ممكن هذا يدورممكن يطلع لأعلى
+
+203
+00:17:33,470 --> 00:17:38,550
+لأن ممكن اقيد حركته بالاتجاه ال axle direction ان
+
+204
+00:17:38,550 --> 00:17:43,930
+احط load او احط زمبارك معناته باستخدام load خارجي
+
+205
+00:17:43,930 --> 00:17:49,990
+زي وزن او spring force مانعت الحركة باتجاه ال axle
+
+206
+00:17:49,990 --> 00:17:53,830
+direction لكن still ال shaft ممكن ممكن rotate
+
+207
+00:17:53,830 --> 00:17:58,390
+معناته I succeed in constraining this motion by
+
+208
+00:17:58,390 --> 00:17:59,270
+some other means
+
+209
+00:18:07,850 --> 00:18:14,610
+طيب، الآن هنتطلع على تصنيف الـkinematic pair
+
+210
+00:18:19,960 --> 00:18:25,160
+الان يعني ممكن اصنف الـ kinematic pairs بتلت طرق
+
+211
+00:18:25,160 --> 00:18:30,180
+مختلفة ممكن اصنف طبقا لنوع الحركة between the
+
+212
+00:18:30,180 --> 00:18:33,220
+elements forming the pair يعني according to type
+
+213
+00:18:33,220 --> 00:18:35,580
+of relative motion between the elements forming
+
+214
+00:18:35,580 --> 00:18:44,440
+the pair او طبقا ل .. طبقا لنوعالcontact between
+
+215
+00:18:44,440 --> 00:18:51,140
+the elements forming the pair أو طبقا لنوع الإغلاق
+
+216
+00:18:51,140 --> 00:18:56,480
+between the elements forming the pair يعني عندي
+
+217
+00:18:56,480 --> 00:19:02,300
+تلت طرق تلت طرق ممكن أصنف فيها ال kinematic pairs
+
+218
+00:19:02,300 --> 00:19:06,800
+ممكن أصنف طبقا لنوع الحركة النسبية between the
+
+219
+00:19:06,800 --> 00:19:11,460
+elements forming the pairأو ممكن أصنف طبقا لنوع ال
+
+220
+00:19:11,460 --> 00:19:14,520
+contact هل هو surface contact ولا line contact ولا
+
+221
+00:19:14,520 --> 00:19:17,080
+point contact according to type of contact between
+
+222
+00:19:17,080 --> 00:19:19,720
+the elements forming the pair أو رقم تلاتة
+
+223
+00:19:19,720 --> 00:19:26,910
+according to the type of enclosureالان هنيجي للنوع
+
+224
+00:19:26,910 --> 00:19:30,370
+الأول اللي هو التصنيف تبقى لنوع الحركة النسبية
+
+225
+00:19:30,370 --> 00:19:32,490
+between the elements forming the pair ممكن يكون
+
+226
+00:19:32,490 --> 00:19:35,750
+عندي sliding pair او turning pair او rolling pair
+
+227
+00:19:35,750 --> 00:19:38,510
+او screw pair خليني اكتبهم عشان ناخدهم واحد واحد
+
+228
+00:19:38,510 --> 00:19:43,470
+عندي ال sliding pair
+
+229
+00:19:43,470 --> 00:19:51,050
+عند turning pair
+
+230
+00:19:51,050 --> 00:19:52,490
+عند rolling
+
+231
+00:19:55,660 --> 00:20:07,200
+Pair وعند screw Pair وعند spherical Pair
+
+232
+00:20:09,620 --> 00:20:14,040
+معناته النوع التصنيف ال .. التصنيف ال .. ال
+
+233
+00:20:14,040 --> 00:20:18,580
+canematic pairs هيكون طبقا لنوع الحركة النسبية
+
+234
+00:20:18,580 --> 00:20:22,320
+between the elements في ال sliding pair بعض الكتب
+
+235
+00:20:22,320 --> 00:20:25,500
+أو بعض ال software بيسموه prismatic pair sliding
+
+236
+00:20:25,500 --> 00:20:32,420
+pair او prismatic pair ال sliding pair one element
+
+237
+00:20:33,780 --> 00:20:38,300
+of the pair can slide relative to the other
+
+238
+00:20:38,300 --> 00:20:41,920
+element of the pair one element of the pair can
+
+239
+00:20:41,920 --> 00:20:44,580
+only slide relative to the other يعني عندي مثلا
+
+240
+00:20:44,580 --> 00:20:50,880
+عندي هين عندي
+
+241
+00:20:50,880 --> 00:20:55,760
+هين ال block أربعة و ال link واحد أربعة ممكن ينزلق
+
+242
+00:20:55,760 --> 00:21:00,600
+بالنسبة لواحد نوع الحركة بين أربعة و واحد حركة إيش
+
+243
+00:21:00,600 --> 00:21:06,170
+الزلاقية أو حركة انتقاليةطبعا هذه completely
+
+244
+00:21:06,170 --> 00:21:11,370
+constrained motion the one element of the pair
+
+245
+00:21:11,370 --> 00:21:16,570
+مقيد انه يتحرك باتجاه واحد مقيد يتحرك باتجاه واحد
+
+246
+00:21:16,570 --> 00:21:19,470
+أمثلة ال piston and cylinder هاي ال piston and
+
+247
+00:21:19,470 --> 00:21:24,330
+cylinder of an engine الأغراب
+
+248
+00:21:24,330 --> 00:21:32,630
+بتاع المخرطة tailstock on a lathe bed النوع
+
+249
+00:21:32,630 --> 00:21:34,430
+التاني اللي هو turning pair
+
+250
+00:21:37,450 --> 00:21:41,170
+في بعض الكتب أو بعض ال software يسمى revolute pair
+
+251
+00:21:41,170 --> 00:21:45,770
+turning pair او revolute pair في ال turning pair
+
+252
+00:21:45,770 --> 00:21:52,350
+one element of the pair can only revolve about a
+
+253
+00:21:52,350 --> 00:21:56,430
+fixed axis of the other element of the pair يعني
+
+254
+00:21:56,430 --> 00:22:00,530
+ال pair بيكون عبارة عن two links in contact with
+
+255
+00:22:00,530 --> 00:22:04,450
+each otherفي ال turning pair واحد من ال elements
+
+256
+00:22:04,450 --> 00:22:07,310
+هذا ممكن يدور بالنسبة لل element التاني واحد من ال
+
+257
+00:22:07,310 --> 00:22:11,750
+elements ممكن يدور بالنسبة لل element التاني زي
+
+258
+00:22:11,750 --> 00:22:14,490
+عندي في ال slotted crank mechanism ال link two
+
+259
+00:22:14,490 --> 00:22:18,890
+ممكن يدور بالنسبة لواحد يعني هنا و هنا عندي
+
+260
+00:22:18,890 --> 00:22:23,110
+turning pair
+
+261
+00:22:23,110 --> 00:22:31,210
+عندي هنا ممكن يدور يعني عندي turning pair
+
+262
+00:22:32,510 --> 00:22:48,230
+بين تلاتة وأربعة عندي هنا برضه turning pear النوع
+
+263
+00:22:48,230 --> 00:22:55,050
+التالت rolling pear أو زوج تدحرجي زوج تدحرجي يعني
+
+264
+00:22:55,050 --> 00:23:04,310
+عندي هنا surface وعندي دولاب هذا can rollهيسميها
+
+265
+00:23:04,310 --> 00:23:09,250
+rolling pear one element of the pear rolls with
+
+266
+00:23:09,250 --> 00:23:14,790
+respect to the other element of the pear زي ال
+
+267
+00:23:14,790 --> 00:23:19,510
+ball and roller bearings في حالة ال bearings في
+
+268
+00:23:19,510 --> 00:23:23,610
+عندى كورات بتتدحرج حوالين ال inner race او ال
+
+269
+00:23:23,610 --> 00:23:28,850
+outer race of the bearing في
+
+270
+00:23:28,850 --> 00:23:29,950
+عندى ال screw pear
+
+271
+00:23:32,840 --> 00:23:42,380
+one element can rotate and advance with respect to
+
+272
+00:23:42,380 --> 00:23:45,080
+the other element of the pair يعني زي حالة الصمولة
+
+273
+00:23:45,080 --> 00:23:49,220
+و البرغي و لو مسكت الصمولة و البرغي ثابت و بديت
+
+274
+00:23:49,220 --> 00:23:54,220
+ألف الصمولة ثم بتبدأ تلف و تمشي يعني while turning
+
+275
+00:23:54,220 --> 00:23:59,220
+it advances بتتقدم إلى الأمام يعني بتلف الصمولة و
+
+276
+00:23:59,220 --> 00:24:07,270
+هي بتلف بتكون تمشيالحاجة ساميه screw pair في
+
+277
+00:24:07,270 --> 00:24:13,750
+عندى spherical pair اللي هي زوج كروي one element
+
+278
+00:24:13,750 --> 00:24:15,950
+of the spherical one element of the spherical
+
+279
+00:24:15,950 --> 00:24:18,730
+shape is swivels about the other fixed element في
+
+280
+00:24:18,730 --> 00:24:22,870
+عندى fixed element و شكله spherical كروي
+
+281
+00:24:25,390 --> 00:24:31,170
+شايفين كيف؟ ال motion في عنده 3D rotation about a
+
+282
+00:24:31,170 --> 00:24:36,490
+fixed point 3D rotation about a fixed point بنشوفه
+
+283
+00:24:36,490 --> 00:24:39,810
+في المراية بتاعة السيارة أو في بعض القاعدة للأقلام
+
+284
+00:24:39,810 --> 00:24:42,110
+بتكون فيها spherical pair
+
+285
+00:24:46,470 --> 00:24:49,890
+معناته تصنيف الأول احنا حكينا ممكن تصنف الـ
+
+286
+00:24:49,890 --> 00:24:52,430
+kinematic pairs according to type of relative
+
+287
+00:24:52,430 --> 00:24:54,750
+motion between elements يعني ممكن اصنف ال .. ال
+
+288
+00:24:54,750 --> 00:24:58,350
+kinematic pairs طبقا لنوع الحركة بين ال elements
+
+289
+00:24:58,350 --> 00:25:01,370
+المكونة لل pair و احنا حكينا في عندي ال sliding
+
+290
+00:25:01,370 --> 00:25:04,730
+pair، عندي turning pair، عندي rolling pair، عندي
+
+291
+00:25:04,730 --> 00:25:08,470
+screw pair و spherical pair التصنيف التاني لل
+
+292
+00:25:08,470 --> 00:25:12,130
+kinematic pair طبقا لنوع التلامس بين ال elements
+
+293
+00:25:12,130 --> 00:25:16,010
+المكونة لل pair في عندي lower pair و عندي higher
+
+294
+00:25:16,010 --> 00:25:19,510
+pairفى ال lower pair the two elements of the pair
+
+295
+00:25:19,510 --> 00:25:24,190
+have surface contact بيكون فى عندى تلامس سطحى بين
+
+296
+00:25:24,190 --> 00:25:29,290
+العناصر المكونة لل pair يعني فى حالة ال sliding
+
+297
+00:25:29,290 --> 00:25:35,290
+pair هاي عندى هذا slide بهذا الاتجاه التلامس بين
+
+298
+00:25:35,290 --> 00:25:41,770
+المساحة و اللوح عبارة عن surface فى حالة ال
+
+299
+00:25:41,770 --> 00:25:47,710
+revolute pairالتلامس على المحيط عبارة عن سطح
+
+300
+00:25:47,710 --> 00:25:53,650
+أسطواني it is a surface لكنه it is not a flat
+
+301
+00:25:53,650 --> 00:25:59,290
+surface 3D surface فهذا يسمي lower pair بيكون
+
+302
+00:25:59,290 --> 00:26:03,010
+التلامس بين ال elements forming the pair is along
+
+303
+00:26:03,010 --> 00:26:07,410
+a surface في ال lower pair
+
+304
+00:26:10,370 --> 00:26:13,770
+surface of one element slides over the surface of
+
+305
+00:26:13,770 --> 00:26:18,590
+the other يعني في حالة sliding pair ال surface تاع
+
+306
+00:26:18,590 --> 00:26:22,130
+المسافة slide على ال surface تاع اللوح في حالة
+
+307
+00:26:22,130 --> 00:26:24,970
+revolute pair او tearing pair ال cylindrical
+
+308
+00:26:24,970 --> 00:26:34,480
+surface to this link it turns او slidesع المحيط في
+
+309
+00:26:34,480 --> 00:26:38,040
+حالة screw pair عند صمولة و برغة الصمولة ال
+
+310
+00:26:38,040 --> 00:26:40,940
+surface بتاعها helical surface it slides with
+
+311
+00:26:40,940 --> 00:26:42,760
+respect to the screw
+
+312
+00:26:47,600 --> 00:26:51,360
+في عندي احنا حكينا التصنف في الـ kinematic pairs
+
+313
+00:26:51,360 --> 00:26:55,940
+طبقا للنوع التلامس احنا حكينا ال lower pair في
+
+314
+00:26:55,940 --> 00:26:58,700
+عندي higher pair فال higher pair بيكون ال contact
+
+315
+00:26:58,700 --> 00:27:03,440
+بين ال elements forming the pair along a line or
+
+316
+00:27:03,440 --> 00:27:07,480
+point contact يعني بيكون التلامس يا خط او point
+
+317
+00:27:07,480 --> 00:27:12,000
+contact مثلا في حتة ال rolling pear لو عندك
+
+318
+00:27:12,000 --> 00:27:15,780
+استوانة هذه سيلندر
+
+319
+00:27:20,140 --> 00:27:23,180
+النقطة اللي أنا شايفها in the view هتكون خط هنا
+
+320
+00:27:23,180 --> 00:27:30,760
+لدي هنا line contact في الحالة هذي بسمي higher
+
+321
+00:27:30,760 --> 00:27:37,120
+pair في حالة كان عندي rolling لكرة هتكون التلامس
+
+322
+00:27:37,120 --> 00:27:45,840
+هنا point هنا دي sphere فعندي هنا تلامس point
+
+323
+00:27:45,840 --> 00:27:55,580
+contactمعناته ها دي higher pair ال
+
+324
+00:27:55,580 --> 00:28:00,920
+motion between the two is partly turning في دوران
+
+325
+00:28:00,920 --> 00:28:08,840
+و partly sliding أمثلة على ال higher pairs إذا
+
+326
+00:28:08,840 --> 00:28:15,460
+عندى two friction disks هاي عندى disk و عندى disk
+
+327
+00:28:20,880 --> 00:28:25,600
+هذا الاتجاه وهذا الاتجاه عندي هنا line contact في
+
+328
+00:28:25,600 --> 00:28:46,540
+حالة friction disk عندي ترسين truth عندي
+
+329
+00:28:46,540 --> 00:28:48,120
+الترس الطرف التاني
+
+330
+00:28:56,500 --> 00:29:06,560
+هذا عندي line contact معناته هذا higher pair عندي
+
+331
+00:29:06,560 --> 00:29:13,180
+cam and follower عندي هاي cam و
+
+332
+00:29:13,180 --> 00:29:14,740
+عندي follower
+
+333
+00:29:18,630 --> 00:29:21,710
+and a line contact يعني في أمثلة كتير على higher
+
+334
+00:29:21,710 --> 00:29:25,470
+pair معناه التصنيف التاني ممكن نصنف الكلانتك pair
+
+335
+00:29:25,470 --> 00:29:29,910
+طبقا لنوع التلامس ممكن تكون تلامس على ال surface
+
+336
+00:29:29,910 --> 00:29:33,570
+في الحالة هتبسميه lower pair ممكن تكون تلامس over
+
+337
+00:29:33,570 --> 00:29:36,850
+a line or over a point في الحالة هتبسميه higher
+
+338
+00:29:36,850 --> 00:29:41,950
+pair النوع التالت من التصنيف according to type of
+
+339
+00:29:41,950 --> 00:29:47,430
+closure هنشوف فيه نوعين في self-closed pair
+
+340
+00:29:51,950 --> 00:29:56,010
+و فاندي force closed pair فى self-closed pair the
+
+341
+00:29:56,010 --> 00:30:00,850
+two elements of the pair are connected together
+
+342
+00:30:00,850 --> 00:30:05,470
+mechanically in such a way that only the required
+
+343
+00:30:05,470 --> 00:30:10,630
+kind of relative motion occurs يعني فى حالة ال
+
+344
+00:30:10,630 --> 00:30:14,930
+slotted crank mechanism موصولى من خلال joint فاندي
+
+345
+00:30:14,930 --> 00:30:19,470
+hand jointالان نوع الحركة بين اتنين و واحد بيتغيرش
+
+346
+00:30:19,470 --> 00:30:22,950
+بين تلاتة و اتنين بيتغيرش اللي رابطهم اللي رابطهم
+
+347
+00:30:22,950 --> 00:30:29,870
+مع بعض ال joints المفاصل هذه self-closed pair self
+
+348
+00:30:29,870 --> 00:30:35,410
+-closed pair مفاصل جسم الإنسان موصل في بعض بطريقة
+
+349
+00:30:35,410 --> 00:30:39,110
+انه احافظ على relative motion نفسها يعني انا مثلا
+
+350
+00:30:39,110 --> 00:30:44,050
+بحرك ايدي هنا بحرك
+
+351
+00:30:44,050 --> 00:30:50,790
+ايدي هنا لو ثبتت هذههذه حركة لأن الحركة نسبة بين
+
+352
+00:30:50,790 --> 00:30:54,230
+هذه وهذه لا تتغير ولكن لو ثبتت هيك سأتحرك مثل ذلك
+
+353
+00:30:54,230 --> 00:30:58,090
+نفس الشيء بالنسبة لبعض نفس الشيء للكوع لو ثبتت هذه
+
+354
+00:30:58,090 --> 00:31:01,790
+او
+
+355
+00:31:01,790 --> 00:31:07,830
+لو ثبتت هذه طبعا صعب ارفع حالي فهذه سيلفي closed
+
+356
+00:31:07,830 --> 00:31:14,090
+pairفي course advanced ممكن تكون elective زي
+
+357
+00:31:14,090 --> 00:31:18,810
+مستقبلا تاخدوه في ال .. يعني سواء في ال .. في
+
+358
+00:31:18,810 --> 00:31:22,890
+الدراسات العليا ممكن تسمى اللي هو human body
+
+359
+00:31:22,890 --> 00:31:26,070
+dynamics، ديناميكا جسم الإنسان، مهم كتير اللي
+
+360
+00:31:26,070 --> 00:31:31,810
+هيشتغل فيه في ال .. في العلوم المتعلقة في دراسة
+
+361
+00:31:31,810 --> 00:31:34,710
+ديناميكية الحركة جسم الإنسان
+
+362
+00:31:37,580 --> 00:31:41,340
+ال lower pairs are self-closed pair يعني lower
+
+363
+00:31:41,340 --> 00:31:48,460
+pair زي عندي ال turning pair is a self-closed pair
+
+364
+00:31:48,460 --> 00:31:54,140
+ال sliding pair is a self-closed pair ال screw
+
+365
+00:31:54,140 --> 00:32:01,240
+pair is a self-closed pair النوع
+
+366
+00:32:01,240 --> 00:32:04,300
+التاني ال forced forced closed pair
+
+367
+00:32:07,310 --> 00:32:13,150
+الـ two elements المكونين للـ pair are not
+
+368
+00:32:13,150 --> 00:32:17,010
+connected mechanically but are kept in contact by
+
+369
+00:32:17,010 --> 00:32:19,650
+the action of external forces يعني على سبيل المثال
+
+370
+00:32:19,650 --> 00:32:25,390
+عندي .. عندي cam هاي
+
+371
+00:32:25,390 --> 00:32:28,030
+مركز ده ورا عنها وعندي hand follower
+
+372
+00:32:33,250 --> 00:32:37,250
+عشان اخلي ال follower هذه بتدور هذا نضور هذا بطلع
+
+373
+00:32:37,250 --> 00:32:44,070
+و بنزل زي ال cam في السيارة او ال cam تعمل مكان
+
+374
+00:32:44,070 --> 00:32:49,990
+لخياطة for this follower to be in contact with
+
+375
+00:32:49,990 --> 00:32:53,690
+this cam هذا cam هذا follower
+
+376
+00:32:56,940 --> 00:32:59,100
+لازم يكون فيه some external force ال external
+
+377
+00:32:59,100 --> 00:33:03,400
+force ممكن تكون وزن الفلور by gravity أو by a
+
+378
+00:33:03,400 --> 00:33:06,860
+spring force يكون عند زمبرك دائما يكون ضغط الفلور
+
+379
+00:33:06,860 --> 00:33:14,260
+مع الكام عشان دائما يكون الفلورملامس للكام if we
+
+380
+00:33:14,260 --> 00:33:18,040
+lose contact في الحالة اذا فقدنا التلامس هنفقد
+
+381
+00:33:18,040 --> 00:33:21,380
+الحركة بين ال two elements forming the pair معناته
+
+382
+00:33:21,380 --> 00:33:24,480
+التصنيف التالت according to type of closure في عند
+
+383
+00:33:24,480 --> 00:33:28,460
+self-closed pair و عند force-closed pair ان راجع
+
+384
+00:33:29,370 --> 00:33:32,310
+تصنيفات ال .. ال .. ال .. ال cannematic pairs ممكن
+
+385
+00:33:32,310 --> 00:33:36,650
+تكون طبقا لنوع الحركة النسبية بين ال two elements
+
+386
+00:33:36,650 --> 00:33:39,890
+forming the pair أو طبقا لنوع ال contact between
+
+387
+00:33:39,890 --> 00:33:42,350
+the elements forming the pair أو طبقا لنوع ال
+
+388
+00:33:42,350 --> 00:33:47,740
+closure of the two pairالتصنيف الأول طبقا لنوع
+
+389
+00:33:47,740 --> 00:33:49,940
+الحركة between the two elements forming the pair
+
+390
+00:33:49,940 --> 00:33:52,860
+بيكون عندى sliding pair, turning pair, rolling
+
+391
+00:33:52,860 --> 00:33:58,080
+pair, screw pair, spherical pair التصنيف التاني
+
+392
+00:33:58,080 --> 00:34:00,840
+according to type of contact بيكون عندى ال lower
+
+393
+00:34:00,840 --> 00:34:03,260
+pair أو higher pair في حالة ال lower pair بيكون
+
+394
+00:34:03,260 --> 00:34:06,540
+عندى ال contact على surface contactبحث ال higher
+
+395
+00:34:06,540 --> 00:34:10,600
+pair بيكون عند ال contact line or point contact
+
+396
+00:34:10,600 --> 00:34:14,000
+التصنيف التالت according to type of closure بيكون
+
+397
+00:34:14,000 --> 00:34:20,300
+يعني self-closed pair أو force closed pair طيب
+
+398
+00:34:32,300 --> 00:34:35,780
+نحكي هنا kinematic pair في مصطلح دي اسمه kinematic
+
+399
+00:34:35,780 --> 00:34:41,080
+chain ال kinematic pair عبارة عن combination of
+
+400
+00:34:41,080 --> 00:34:46,020
+kinematic pairs يعنيالإصلاح ال economic mechanism
+
+401
+00:34:46,020 --> 00:34:49,920
+مكوّن من ال pair واحد و اتنين وال pair اتنين و
+
+402
+00:34:49,920 --> 00:34:55,120
+تلاتة وال pair تلاتة و أربعة وال pair أربعة و واحد
+
+403
+00:34:55,120 --> 00:34:59,240
+المجموع الأربعة pairs هذه اللي هي واحد مع اتنين و
+
+404
+00:34:59,240 --> 00:35:02,120
+اتنين مع تلاتة و تلاتة مع أربعة و أربعة مع واحد
+
+405
+00:35:02,120 --> 00:35:04,560
+بسميها kinematic chain
+
+406
+00:35:09,470 --> 00:35:12,630
+في الـ kinematic chain بتكون الحركة بين ال
+
+407
+00:35:12,630 --> 00:35:15,250
+elements between the links or elements forming the
+
+408
+00:35:15,250 --> 00:35:19,930
+chain completely or successfully constrained بيكون
+
+409
+00:35:19,930 --> 00:35:29,690
+الحركة مقيدة بشكل كامل أو بشكل ناجح طيب
+
+410
+00:35:38,080 --> 00:36:02,000
+خلّيني أرسم هذه بشكل أكبر هذه
+
+411
+00:36:02,000 --> 00:36:06,520
+الـ Slider crank mechanism لينك واحد لينك اتنين
+
+412
+00:36:07,340 --> 00:36:16,400
+لينك تلاتة لينك أربع وهذا لينك واحد if
+
+413
+00:36:16,400 --> 00:36:24,660
+each link طبعا اتطلع عند كل link هنا بتكون two
+
+414
+00:36:24,660 --> 00:36:32,200
+pairs يعني عندي ال link اتنين تعمل pair مع واحدو
+
+415
+00:36:32,200 --> 00:36:37,320
+pair مع تلاتة يعني اتنين مرة عاملة pair مع واحد و
+
+416
+00:36:37,320 --> 00:36:43,260
+pair مع تلاتة و تلاتة عاملة pair مع اتنين و pair
+
+417
+00:36:43,260 --> 00:36:48,380
+مع اربع و اربع عاملة pair مع تلاتة و عاملة pair مع
+
+418
+00:36:48,380 --> 00:36:53,440
+واحد يعني each link form بتشك بتكون two pairs with
+
+419
+00:36:53,440 --> 00:36:54,580
+two adjacent links
+
+420
+00:36:57,640 --> 00:37:00,860
+الان في علاقة بين number of pairs forming a
+
+421
+00:37:00,860 --> 00:37:03,100
+kinetic chain and number of links انا عند اكم link
+
+422
+00:37:03,100 --> 00:37:09,740
+هين عند number of links هين عندي L بيساوي أربعة و
+
+423
+00:37:09,740 --> 00:37:15,400
+number of pairs عندي هين turning pair هاي واحد و
+
+424
+00:37:15,400 --> 00:37:19,180
+turning pair هين اي اتنين و turning pair تلاتة و
+
+425
+00:37:19,180 --> 00:37:24,570
+sliding pair أربعة عندي أربعة pairsفي علاقة بين ال
+
+426
+00:37:24,570 --> 00:37:28,950
+number of links و ال number of pairs ال L بيساوي
+
+427
+00:37:28,950 --> 00:37:34,370
+اتنين P ناقص اربعة يعني عندي هنا ال L لو حكيت
+
+428
+00:37:34,370 --> 00:37:40,600
+اربعةهنا عندي اتنين في اربعة ناقص اربعة يعني هاتلع
+
+429
+00:37:40,600 --> 00:37:45,420
+عندي هين اربعة و هين اربعة معناته ايش المعادلة
+
+430
+00:37:45,420 --> 00:37:51,120
+صحيحة معناته ال number of lengths بيساوي اتنين في
+
+431
+00:37:51,120 --> 00:37:53,100
+number of pairs ناقص اربعة
+
+432
+00:38:04,060 --> 00:38:07,380
+في علاقة بين number of links and number of joints
+
+433
+00:38:07,380 --> 00:38:12,000
+عندي
+
+434
+00:38:12,000 --> 00:38:17,020
+هنا revolute joint وعندي هنا revolute أو turning
+
+435
+00:38:17,020 --> 00:38:21,700
+joint وعندي هنا revolute أو turning joint وعندي
+
+436
+00:38:21,700 --> 00:38:24,980
+هنا بين أربع واحد sliding joints يعني عندي number
+
+437
+00:38:24,980 --> 00:38:31,720
+of joints J بيستوي عندي أربعة jointsالاربع joints
+
+438
+00:38:31,720 --> 00:38:38,460
+عندى التلاتة turning joints
+
+439
+00:38:38,460 --> 00:38:41,540
+واحد
+
+440
+00:38:41,540 --> 00:38:47,120
+sliding joints
+
+441
+00:38:47,120 --> 00:38:48,480
+او prismatic joint
+
+442
+00:38:58,740 --> 00:39:02,840
+طبعا المعادلة الجاية هتكون تتطبق في حالة ال lower
+
+443
+00:39:02,840 --> 00:39:09,420
+pair يعني J في علاقة بين number of joints وعدد
+
+444
+00:39:09,420 --> 00:39:16,100
+اللينكات 1.5 في L ناقص 2 هذا في حالة lower pair
+
+445
+00:39:16,100 --> 00:39:21,040
+أنا
+
+446
+00:39:21,040 --> 00:39:25,760
+عندي
+
+447
+00:39:25,760 --> 00:39:27,220
+ال J أربعة
+
+448
+00:39:30,360 --> 00:39:33,260
+لاحظوا عند التلاتي ال turning ال turning تعتبر
+
+449
+00:39:33,260 --> 00:39:39,020
+lower pair و ال sliding تعتبر lower pair أربعة عند
+
+450
+00:39:39,020 --> 00:39:44,760
+هنا واحد و نص عدد ال link أربعة نقص اتنين يعني
+
+451
+00:39:44,760 --> 00:39:47,820
+واحد و نص في أربعة ستة نقص اتنين بالسوء أربعة يعني
+
+452
+00:39:47,820 --> 00:39:58,000
+أربعة بالسوء أربعة منعت المعادلة هذه إيش؟ صحيحة زي
+
+453
+00:39:58,000 --> 00:40:04,560
+ما حكيت aboveEquations اللي هي المعادلة هذه اللي
+
+454
+00:40:04,560 --> 00:40:11,480
+هي المعادلة اللي هي L بيستوى اتنين P ناقص اربعة و
+
+455
+00:40:11,480 --> 00:40:18,680
+J بيستوى واحد و نص L ناقص اتنين هدول ال two
+
+456
+00:40:18,680 --> 00:40:19,360
+equations
+
+457
+00:40:25,070 --> 00:40:28,550
+applicable only to kinematic chains in which lower
+
+458
+00:40:28,550 --> 00:40:32,630
+pairs are used هذه المعادلات تتطبق فقط في حالة ال
+
+459
+00:40:32,630 --> 00:40:38,130
+kinematic chains اللي ال pairs فيها lower pair ايش
+
+460
+00:40:38,130 --> 00:40:41,110
+يعني lower pair يعني ال contact is surface contact
+
+461
+00:40:41,110 --> 00:40:44,990
+يعني عندي هنا تلاتة turning pairs واضح ان عندي
+
+462
+00:40:44,990 --> 00:40:48,210
+surface surface cylindrical contact وعندي one
+
+463
+00:40:48,210 --> 00:40:51,970
+sliding pair عندي flat surface contact
+
+464
+00:40:57,740 --> 00:41:03,020
+هذه المعادلات ممكن نعدلها بحيث تكون قابلة
+
+465
+00:41:03,020 --> 00:41:08,940
+للاستخدام في حالة الـ kinematic chains اللي بيكون
+
+466
+00:41:08,940 --> 00:41:17,180
+تتضمن higher pairs طبعا each higher pair is
+
+467
+00:41:17,180 --> 00:41:21,060
+equivalent to two lower pairs plus a link
+
+468
+00:41:27,530 --> 00:41:43,570
+نشوف أمثلة على الـ Kinematic Chains عندي
+
+469
+00:41:43,570 --> 00:41:46,970
+هاي تلت لينكات
+
+470
+00:42:02,860 --> 00:42:13,680
+هي link واحد اتنين تلاتة عندي
+
+471
+00:42:13,680 --> 00:42:17,940
+ال number of links ال الحالة هذه عندي واحد اتنين
+
+472
+00:42:17,940 --> 00:42:23,100
+تلاتة تلاتة links ال number of pairs عندي turning
+
+473
+00:42:23,100 --> 00:42:26,510
+pair turning pair turning pair عندي تلاتة برضهو ال
+
+474
+00:42:26,510 --> 00:42:30,270
+number of joints عند رفوليوت جوانت رفوليوت جوانت
+
+475
+00:42:30,270 --> 00:42:34,830
+رفوليوت جوانت عند ايش تلاتة خلينا نشوف نطبق
+
+476
+00:42:34,830 --> 00:42:39,590
+المعادلة اللي قال عنده اللي قال عنده اللينكات
+
+477
+00:42:39,590 --> 00:42:45,970
+تلاتة على الطرف التاني عنده اتنين P اتنين في P
+
+478
+00:42:45,970 --> 00:42:52,890
+اللي هي تلاتة ناقص اربعة عندهين تلاتة اتنين في
+
+479
+00:42:52,890 --> 00:42:57,950
+تلاتة ستة ناقص اربعة اتنينلاحظ ال left hand side
+
+480
+00:42:57,950 --> 00:43:07,990
+أكبر من ال right hand side نجي المعادلة التانية ال
+
+481
+00:43:07,990 --> 00:43:16,110
+جي عنده تلاتة عند واحد و نص فيه تلاتة ناقص اتنين
+
+482
+00:43:16,110 --> 00:43:20,990
+واحد و نص تلاتة اكم اربع و نص ناقص اتنين اتنين و
+
+483
+00:43:20,990 --> 00:43:26,760
+نصهنا تلاتة واضح برضه left hand side أكبر من ال
+
+484
+00:43:26,760 --> 00:43:31,580
+right hand side هل
+
+485
+00:43:31,580 --> 00:43:34,880
+link واحد او link اي link من اللي كانت ممكن تتحرك
+
+486
+00:43:34,880 --> 00:43:38,060
+بالنسبة للتانية هل يعني واحد ممكن تتحرك للتانية او
+
+487
+00:43:38,060 --> 00:43:42,310
+واحد بالنسبة للتلاتةواضح ان فيش حركة معناه ان this
+
+488
+00:43:42,310 --> 00:43:46,350
+is not a kinematic chain this is a structure لأن
+
+489
+00:43:46,350 --> 00:43:50,850
+في عنده no relative motion is possible مش ممكن
+
+490
+00:43:50,850 --> 00:43:54,110
+اتنين تتحرك بالنسبة لواحد او تلاتة تتحرك بالنسبة
+
+491
+00:43:54,110 --> 00:43:57,330
+لواحد او تلاتة بالنسبة لاتنين no relative motion
+
+492
+00:43:57,330 --> 00:44:03,590
+between the elements forming the chain معناه ان it
+
+493
+00:44:03,590 --> 00:44:08,630
+is not a kinematic chain it is a structureلأنه
+
+494
+00:44:08,630 --> 00:44:14,070
+مافيش حركة بيقنق limits forming if possible طيب
+
+495
+00:44:14,070 --> 00:44:24,050
+مثال تاني ناخد
+
+496
+00:44:24,050 --> 00:44:32,110
+ال four bar linkage four bar four
+
+497
+00:44:32,110 --> 00:44:35,870
+bar linkage أي واحد
+
+498
+00:44:38,660 --> 00:44:45,420
+اتنين تلاتة اربعة عند عدد ال links الاربعة links
+
+499
+00:44:45,420 --> 00:44:52,000
+وعدد ال pairs تارينج pair تارينج pair تارينج pair
+
+500
+00:44:52,000 --> 00:44:58,200
+تارينج pair عند اربعة وعند اربعة joints طيب طبق
+
+501
+00:44:58,200 --> 00:45:03,580
+المعادلة الأولى ال عند اربعة سواء اتنين P اتنين P
+
+502
+00:45:06,230 --> 00:45:11,690
+تنين في أربعة ناقص أربعة يعني انا عندي هنا أربعة
+
+503
+00:45:11,690 --> 00:45:16,030
+هنا أربعة أربعة بتستوى أربعة ال left hand side
+
+504
+00:45:16,030 --> 00:45:19,590
+بتستوى ال right hand side فانت بتحققك المعادلة
+
+505
+00:45:19,590 --> 00:45:24,070
+المعادلة التانية عندي J بتستوى أربعة عندي هنا واحد
+
+506
+00:45:24,070 --> 00:45:30,780
+و نصفي اربعة ناقص اتنين اربعة هتساوي اربعة معناته
+
+507
+00:45:30,780 --> 00:45:36,500
+left hand side بيساوي ال right hand side معناته
+
+508
+00:45:36,500 --> 00:45:41,160
+العلاقتين تحققوا معناته this is a kinematic chain
+
+509
+00:45:41,160 --> 00:45:45,460
+with one degree of freedom this is a kinematic
+
+510
+00:45:45,460 --> 00:45:49,000
+chain with one degree of freedom بعد شوية هنحكي عن
+
+511
+00:45:49,000 --> 00:45:51,460
+ال degrees of freedom ايش ال definition بتاعها
+
+512
+00:45:51,460 --> 00:45:54,840
+وكيف بنحدد ال number of degrees of freedom
+
+513
+00:45:58,710 --> 00:46:00,770
+ناخد ميكانيزم تاني
+
+514
+00:46:25,180 --> 00:46:30,400
+عندها لينك واحد لينك اتنين لينك تلاتة لينك اربع
+
+515
+00:46:30,400 --> 00:46:37,240
+لينك خمسة يعني عندي لينك عدد لينكات خمسة عندي
+
+516
+00:46:37,240 --> 00:46:41,940
+turning pair turning pair turning pair turning
+
+517
+00:46:41,940 --> 00:46:45,840
+pair turning pair عندي يعني اكم pair عندي خمسة
+
+518
+00:46:45,840 --> 00:46:51,170
+تتخمسة pairsالكم جويت عندى؟ واحد، اتنين، تلاتة،
+
+519
+00:46:51,170 --> 00:46:55,910
+اربعة، خمسة و J بالساوية خمسة نشوف المعادلة هذه
+
+520
+00:46:55,910 --> 00:47:04,670
+عند ال L ال L عنده
+
+521
+00:47:04,670 --> 00:47:15,070
+خمسة اتنين بيه اتنين في ال pairs خمسة ناقص اربعة
+
+522
+00:47:15,070 --> 00:47:20,880
+عند هنا خمسةأتنين في خمسة بعشرة ناقص أربعة ستة
+
+523
+00:47:20,880 --> 00:47:29,200
+واضح ال left hand side أقل من ال right hand side
+
+524
+00:47:29,200 --> 00:47:35,420
+نجي ال معادلة التانية J J سواحد و نص ال ناقص اتنين
+
+525
+00:47:35,420 --> 00:47:40,820
+ال J عندي خمسة عندين واحد و نص في خمسة ناقص اتنين
+
+526
+00:47:40,820 --> 00:47:44,600
+يعني خمسة عندي واحد و نص في خمسة سبعة و نص ناقص
+
+527
+00:47:44,600 --> 00:47:50,590
+اتنين خمسة و نصعند ال left hand side أقل من ال
+
+528
+00:47:50,590 --> 00:47:57,110
+right hand side المعناته ال two equations are not
+
+529
+00:47:57,110 --> 00:48:01,310
+satisfied لم يتم تحقيق المعادلتين هدول المعناته it
+
+530
+00:48:01,310 --> 00:48:09,710
+is not a kinematic chain ليش ال chain is not
+
+531
+00:48:09,710 --> 00:48:13,670
+constrained ممكن يعني لو انا حركت اتنين واحدة منهم
+
+532
+00:48:13,670 --> 00:48:19,630
+حركت واحدةأحصل على أكثر من positions أو شكل ..
+
+533
+00:48:19,630 --> 00:48:28,950
+يعني لو حركت هذا بشكل هذا او
+
+534
+00:48:28,950 --> 00:48:35,170
+ممكن يكون في زهاج فعند أكتر من احتمال
+
+535
+00:48:55,980 --> 00:48:59,680
+النتائج غير متوقعة لأنه محتاج لـ other degree of
+
+536
+00:48:59,680 --> 00:49:00,000
+freedom
+
+537
+00:49:17,830 --> 00:49:23,710
+أنواع الوصلات أنواع
+
+538
+00:49:23,710 --> 00:49:28,010
+الوصلات في ال .. في ال .. في ال chains في عندي
+
+539
+00:49:28,010 --> 00:49:35,370
+binary joint يعني وصلة ثنائية في الوصلة الثنائية
+
+540
+00:49:35,370 --> 00:49:38,250
+two links are joined at the same connection يعني
+
+541
+00:49:38,250 --> 00:49:42,290
+نفس النقطة بكون واصل two elements او two links
+
+542
+00:49:45,370 --> 00:49:58,690
+لو نطلع ال four bar على ال four bar واحد
+
+543
+00:49:58,690 --> 00:50:06,280
+اتنين تلاتة اربعة هذه binary jointلأن هذه link و
+
+544
+00:50:06,280 --> 00:50:09,860
+link تنتين وهذه binary joint هي link و link تنتين
+
+545
+00:50:09,860 --> 00:50:12,580
+وهذه binary joint هي link و link تنتين و binary
+
+546
+00:50:12,580 --> 00:50:14,260
+joint هي link و link تنتين و binary joint تنتين و
+
+547
+00:50:14,260 --> 00:50:15,960
+binary joint تنتين و binary joint تنتين و binary
+
+548
+00:50:15,960 --> 00:50:22,320
+joint تنتين و binary joint تنتين
+
+549
+00:50:22,320 --> 00:50:25,120
+و binary joint تنتين و binary joint تنتين و binary
+
+550
+00:50:25,120 --> 00:50:29,460
+تنتين و binary joint تنتين و binary joint تنتين و
+
+551
+00:50:29,460 --> 00:50:32,920
+binary joint تنتين و binary joint تنتين و binary
+
+552
+00:50:32,920 --> 00:50:34,420
+joint تنتين و binary joint تنتين و binary joint
+
+553
+00:50:35,830 --> 00:50:44,750
+ممكن اعدّلها السير j plus h على اتنين لسه واحد و
+
+554
+00:50:44,750 --> 00:50:50,910
+نص ال ناقص في الحالة هذه it could be used this
+
+555
+00:50:50,910 --> 00:50:53,250
+equation can be used for higher pairs
+
+556
+00:51:03,810 --> 00:51:06,590
+higher pairs يعني يكون ال contact على نقطة أو على
+
+557
+00:51:06,590 --> 00:51:12,090
+خط هذا ال H number of higher pairs
+
+558
+00:51:16,650 --> 00:51:21,910
+في عندنا ما يسمى الـ AW Klein equation هذه
+
+559
+00:51:21,910 --> 00:51:26,450
+المعادلة تستخدم لتحديد ما إذا كانت ال chain locked
+
+560
+00:51:26,450 --> 00:51:28,610
+chain يعني ال structure ليس relative motion
+
+561
+00:51:28,610 --> 00:51:32,070
+between the elements forming the chain او
+
+562
+00:51:32,070 --> 00:51:39,530
+kinematic chain او unconstrained chain فمن خلال
+
+563
+00:51:39,530 --> 00:51:42,830
+المعادلة هذه بنحدد whether the chain is a
+
+564
+00:51:42,830 --> 00:51:47,700
+structureor a kinematic chain or unconstrained
+
+565
+00:51:47,700 --> 00:51:57,900
+chain نتطلع
+
+566
+00:51:57,900 --> 00:52:00,040
+على القالية هذه
+
+567
+00:52:24,180 --> 00:52:30,560
+عندها link واحد اتنين تلاتة اربعة خمسة ستة عند
+
+568
+00:52:30,560 --> 00:52:34,960
+النمر ال links شو يستوي؟ ستة ال joints عنده واحد
+
+569
+00:52:34,960 --> 00:52:41,940
+اتنين تلاتة اربعة خمسة خمسة joints خمسة
+
+570
+00:52:41,940 --> 00:52:49,460
+jointsمعناته المفروض ال J ال pairs higher pair و
+
+571
+00:52:49,460 --> 00:52:53,520
+لا lower pair كلها lower pair معناته J زاد H على
+
+572
+00:52:53,520 --> 00:53:01,840
+اتنين بس واحد و نص ال ماقص اتنين ال J عندي خمسة و
+
+573
+00:53:01,840 --> 00:53:07,000
+ال H عندي سفر على اتنين الطرف التاني واحد و نص في
+
+574
+00:53:07,000 --> 00:53:09,980
+اللي عندي number of links ستة ماقص اتنين يعني
+
+575
+00:53:09,980 --> 00:53:13,260
+هتكون عندي خمسة واحد و نص في ستة
+
+576
+00:53:25,320 --> 00:53:34,140
+أه في شغلة هنا بنحكي عنها عندي ال j في عندي ال
+
+577
+00:53:34,140 --> 00:53:40,460
+binary zones كم
+
+578
+00:53:40,460 --> 00:53:46,900
+binary zones عندي؟ واحد اتنين تلاتة في وصلات
+
+579
+00:53:46,900 --> 00:53:50,300
+ثلاثية يعني بيكون عنده نفس النقطة موصول اكتر من
+
+580
+00:53:50,300 --> 00:53:56,190
+linkعندي turnery joints وصلات ثلاثية turnery
+
+581
+00:53:56,190 --> 00:54:00,050
+joints
+
+582
+00:54:00,050 --> 00:54:04,570
+عددها اتنين
+
+583
+00:54:04,570 --> 00:54:11,070
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+584
+00:54:11,070 --> 00:54:11,930
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+585
+00:54:11,930 --> 00:54:12,290
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+586
+00:54:12,290 --> 00:54:12,350
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+587
+00:54:12,350 --> 00:54:14,310
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+588
+00:54:14,310 --> 00:54:15,990
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+589
+00:54:15,990 --> 00:54:21,730
+اتنين اتنين اتن
+
+590
+00:54:23,660 --> 00:54:29,440
+زائد اتنين تيرناري كل واحدة ثلاثية تعادل اتنين
+
+591
+00:54:29,440 --> 00:54:38,440
+معناته هيكون الساوية ايش سبعة ال J نجي للمعادلة
+
+592
+00:54:38,440 --> 00:54:45,900
+عندي J زائد H على اتنين سواء واحد و نص الناقص
+
+593
+00:54:45,900 --> 00:54:51,660
+اتنين ال J عندي كله سبعة زائد صفر على الطرف تاني
+
+594
+00:54:51,660 --> 00:54:57,660
+واحد و نصفى ستة مانقس اتنين يعني هتكون عندهين سبعة
+
+595
+00:54:57,660 --> 00:55:04,340
+و سبعة ال left hand side بالساوية ال right hand
+
+596
+00:55:04,340 --> 00:55:10,320
+side معناه that this is a kinematic chain with one
+
+597
+00:55:10,320 --> 00:55:19,480
+degree of freedomالنوع التالت من ال joints اللي هي
+
+598
+00:55:19,480 --> 00:55:23,480
+ال quaternary joint اللي هي الوصلات الربعية في
+
+599
+00:55:23,480 --> 00:55:28,560
+الوصلات الربعية بيكون عند نقطة واحدة في أربع
+
+600
+00:55:28,560 --> 00:55:31,860
+لينكات عند نقطة واحدة بيكون في أربع لينكات متصين
+
+601
+00:55:31,860 --> 00:55:40,660
+مع بعض each كل وصلة ربعية تكافئ تلت وصلات ثنائية
+
+602
+00:55:40,660 --> 00:55:48,680
+كل وصلة ربعية تكافئ تلت وصلات ثنائيةيعني ممكن احكي
+
+603
+00:55:49,690 --> 00:55:57,250
+لو كانت الوصلة
+
+604
+00:55:57,250 --> 00:56:02,290
+ثلاثية يعني عندي تلاتة links عند نفس الوصلة هيكون
+
+605
+00:56:02,290 --> 00:56:07,890
+تعادل تلاتة ناقص واحد binary joints يعني التنين لو
+
+606
+00:56:07,890 --> 00:56:12,070
+كانت وصلة ربعية هيكون اربع ناقص واحد وصلة تنية
+
+607
+00:56:12,070 --> 00:56:15,910
+يعني اربع ناقص واحد تلاتة معناته كل وصلة ربعية
+
+608
+00:56:15,910 --> 00:56:23,820
+تعادل تلت وصلة تنيةنشوف ال structure هذا او ال
+
+609
+00:56:23,820 --> 00:56:27,360
+potential
+
+610
+00:56:27,360 --> 00:56:32,280
+kinematic chain بينها طبعا مجرد ما اتطلع عليها
+
+611
+00:56:32,280 --> 00:56:34,780
+هعرفها it is not a kinematic chain هعرفها انها
+
+612
+00:56:34,780 --> 00:56:39,080
+structure اوتوماتيك هعرفها structure عند high link
+
+613
+00:56:39,080 --> 00:56:43,260
+واحد high
+
+614
+00:56:43,260 --> 00:56:50,080
+link اتنين high link تلاتة high link اربعةهي link
+
+615
+00:56:50,080 --> 00:56:57,380
+خمسة هي link ستة هي link سبعة link تمانية link
+
+616
+00:56:57,380 --> 00:57:14,640
+تسعة link عشرة وهذه النقطة A B C D E F G
+
+617
+00:57:50,540 --> 00:58:07,660
+عندي joints عندى
+
+618
+00:58:07,660 --> 00:58:08,700
+عشر لينكات
+
+619
+00:58:15,080 --> 00:58:19,940
+عندي link واحد اتنين تلاتة اربعة خمسة ستة سبعة
+
+620
+00:58:19,940 --> 00:58:22,380
+تمانية تسعة عشرة links عندي ال links ال number of
+
+621
+00:58:22,380 --> 00:58:25,920
+links عندي
+
+622
+00:58:25,920 --> 00:58:29,960
+عشرة عندي
+
+623
+00:58:29,960 --> 00:58:34,380
+اللي هو الوصلات الربعية اللي هو ternary أو الوصلات
+
+624
+00:58:34,380 --> 00:58:42,120
+ال binary joints binary joints عندي
+
+625
+00:58:42,120 --> 00:58:43,100
+الternary joints
+
+626
+00:58:48,970 --> 00:58:55,810
+عنده ربعية giants
+
+627
+00:58:55,810 --> 00:59:08,410
+الثنائية
+
+628
+00:59:08,410 --> 00:59:14,190
+عنده واحدة
+
+629
+00:59:14,190 --> 00:59:20,090
+عندهواحدة عندي هذه ثنائية يعني ثنائية عندي إيش؟
+
+630
+00:59:20,090 --> 00:59:29,790
+واحد ثلاثية عندي عند a هذه واحدة وعند b تنتين
+
+631
+00:59:29,790 --> 00:59:36,010
+تنتين
+
+632
+00:59:36,010 --> 00:59:47,730
+وعند f تلاتة وعند eأربعة عند أربعة ten are joints
+
+633
+00:59:47,730 --> 00:59:51,550
+وعندي
+
+634
+00:59:51,550 --> 00:59:56,450
+وصلة ربعية عند C واحد اتنين تلاتة اربعة ووصلة
+
+635
+00:59:56,450 --> 01:00:04,090
+ربعية عند C ووصلة ربعية عند G تنتين معناته if
+
+636
+01:00:04,090 --> 01:00:11,470
+total number of joints ال J حيث هو في عندي وصلة
+
+637
+01:00:11,470 --> 01:00:17,060
+استنائية واحدةزاد اندي أربع واصلات ثلاثية كل واحدة
+
+638
+01:00:17,060 --> 01:00:22,460
+تعادل ايش تنتين binary زاد اندي تنتين واصلات ربعية
+
+639
+01:00:22,460 --> 01:00:25,920
+كل واحدة تعادل فيها تلاتة binary يعني هيكون اندي
+
+640
+01:00:25,920 --> 01:00:35,980
+واحد زائد تمانية زائد ستة يعني خمس تاش طيب
+
+641
+01:00:35,980 --> 01:00:44,920
+انشوف Jسواء واحد و نص الماقص اتنين الجي عندي خمس
+
+642
+01:00:44,920 --> 01:00:50,040
+تاش هذا عن جهة الشمال عندي عدل اللي كانت عشرة واحد
+
+643
+01:00:50,040 --> 01:00:56,630
+و نص في عشرة ماقص اتنين يعني هيكون ايش تلتاشخمس
+
+644
+01:00:56,630 --> 01:01:02,810
+تاشر ال left hand side أكبر من ال right hand side
+
+645
+01:01:02,810 --> 01:01:07,790
+في الحالة هذه بيكون دي locked chain structure it
+
+646
+01:01:07,790 --> 01:01:11,370
+is not a kinematic chain لأنه فش ولا link ممكن
+
+647
+01:01:11,370 --> 01:01:14,250
+تتحرك بالنسبة للتانية فش ولا link ممكن تتحرك
+
+648
+01:01:14,250 --> 01:01:18,690
+بالنسبة للتانية عشانك بيسميها locked chain or
+
+649
+01:01:18,690 --> 01:01:22,030
+structure وبالتالي the chain is not a kinematic
+
+650
+01:01:22,030 --> 01:01:28,110
+chain the chain is not a kinematic chainلأن مافيش
+
+651
+01:01:28,110 --> 01:01:31,630
+any relative motion of one element with respect to
+
+652
+01:01:31,630 --> 01:01:53,450
+any other element نشوف نفس المثال هذا انا
+
+653
+01:01:53,450 --> 01:02:01,420
+عندي high lengthأو chain بيعني واحد اتنين تلاتة
+
+654
+01:02:01,420 --> 01:02:17,140
+أربع خمسة ستة سبعة تمانية تسعة عشرة عشر لينكات او
+
+655
+01:02:17,140 --> 01:02:18,600
+عندي joint عند a
+
+656
+01:02:21,740 --> 01:02:32,280
+ثلاثية و joint on B و joint on C و joint on D و
+
+657
+01:02:32,280 --> 01:02:38,940
+joint on E و joint on F و joint on G
+
+658
+01:03:23,560 --> 01:03:36,160
+طيب عند ال binary joints عند D واحدة وعند
+
+659
+01:03:36,160 --> 01:03:44,320
+ال tenor joint عند A واحد وعند B اتنين وعند C
+
+660
+01:03:44,320 --> 01:03:51,160
+تلاتة وعند G اربع
+
+661
+01:03:55,250 --> 01:04:04,450
+و عند E خمسة و عند F ستة يعني عند الستة ترني جونز
+
+662
+01:04:04,450 --> 01:04:14,870
+والرباية سفر معناته ال number of jones جيه حيث
+
+663
+01:04:14,870 --> 01:04:21,580
+ساويعندي واحد و نص الناقص اتنين ال j انا عندي او
+
+664
+01:04:21,580 --> 01:04:27,500
+ال .. ال .. عندي ال j عندي واحدة binary زي ستة
+
+665
+01:04:27,500 --> 01:04:33,680
+ثلاث يعني ستة في اتنين هيكون استوى تلتاش وال links
+
+666
+01:04:33,680 --> 01:04:40,960
+عندي عشرة مانعته عندي ال j عندي تلتاش عندي واحد و
+
+667
+01:04:40,960 --> 01:04:48,340
+نصفي عشرة ماقص اتنين يعني تلاتاش بيساوي تلاتاش
+
+668
+01:04:48,340 --> 01:04:55,560
+يعني left hand side بيساوي ال right hand side
+
+669
+01:04:55,560 --> 01:04:59,260
+معناته this is a kinematic chain with one degree
+
+670
+01:04:59,260 --> 01:05:02,120
+of freedom this is kinematic chain with one degree
+
+671
+01:05:02,120 --> 01:05:08,540
+of freedom طيب
+
+672
+01:05:19,760 --> 01:05:32,600
+طيب اخش الموضوع الجديد اللي
+
+673
+01:05:32,600 --> 01:05:37,820
+هي mechanism ال mechanism هي عبارة عن kinematic
+
+674
+01:05:37,820 --> 01:05:43,080
+chain in which one of the links is fixed ال
+
+675
+01:05:43,080 --> 01:05:45,680
+mechanism بتبقى عبارة عن kinematic chain واحدة من
+
+676
+01:05:45,680 --> 01:05:52,140
+اللينكات بتكون مثبتة يعني عنديعندي مثلا four bar
+
+677
+01:05:52,140 --> 01:05:55,920
+chain four
+
+678
+01:05:55,920 --> 01:06:01,060
+bar chain هاي
+
+679
+01:06:01,060 --> 01:06:06,940
+ال link واحد اتنين تلاتة اربعة هاد يسميها chain لو
+
+680
+01:06:06,940 --> 01:06:09,360
+ثبت اي link فيهم يقولوا انا ثبتت واحد
+
+681
+01:06:12,090 --> 01:06:17,310
+بصير ايش اسمها؟ mechanism once استبتت اي link فيهم
+
+682
+01:06:17,310 --> 01:06:22,290
+بصير اسمها mechanism في الأول كان اسمها chain او
+
+683
+01:06:22,290 --> 01:06:28,070
+kinematic chain once we fixany element or any link
+
+684
+01:06:28,070 --> 01:06:32,850
+of the chain we call it a mechanism a mechanism is
+
+685
+01:06:32,850 --> 01:06:36,530
+used for transmitting it for transmitting or
+
+686
+01:06:36,530 --> 01:06:41,850
+transforming motion الميكانيزم تستخدم لنقل الحركة
+
+687
+01:06:41,850 --> 01:06:45,870
+أو تحويل الحركة من صيغة لاخر يعني ممكن احول الحركة
+
+688
+01:06:45,870 --> 01:06:51,380
+من حركة دائريةلحركة .. من حركة دورانية لحركة خطية
+
+689
+01:06:51,380 --> 01:06:55,340
+او العكس من حركة خطية لحركة دورانية او من حركة
+
+690
+01:06:55,340 --> 01:06:59,460
+دورانية لحركة كذبذبية يعني في اكتر من طريقة لتغيير
+
+691
+01:06:59,460 --> 01:07:05,980
+شكل الحركة امثل كتير عن ال mechanisms اللي هو يعني
+
+692
+01:07:05,980 --> 01:07:09,040
+ال four bar linkage ال slotted crank mechanism وفي
+
+693
+01:07:09,040 --> 01:07:12,200
+mechanisms تانية بس هذه الشهرة الأكتر شيوعا في ال
+
+694
+01:07:12,200 --> 01:07:12,520
+machines
+
+695
+01:07:15,830 --> 01:07:22,090
+طيب الميكانيزم ممكن تكون simple mechanism أو
+
+696
+01:07:22,090 --> 01:07:26,110
+compound mechanism بتكون simple إذا كان عدد ال
+
+697
+01:07:26,110 --> 01:07:29,750
+links أربعة إذا كان number of links is four بسميها
+
+698
+01:07:29,750 --> 01:07:33,870
+simple إذا كان عدد ال links أكبر من أربعة بسميها
+
+699
+01:07:33,870 --> 01:07:36,610
+آلية مركبة compound mechanism
+
+700
+01:07:42,450 --> 01:07:46,030
+when a mechanism is required to transmit power or
+
+701
+01:07:46,030 --> 01:07:50,670
+to do some useful work we call the mechanism a
+
+702
+01:07:50,670 --> 01:07:56,990
+machine نسميها آلة لأن في آلية mechanism وفي آلة
+
+703
+01:07:56,990 --> 01:08:00,410
+machine mechanism هي عبارة عن canonical chain in
+
+704
+01:08:00,410 --> 01:08:04,990
+which one element or one link is fixed ال machine
+
+705
+01:08:04,990 --> 01:08:10,410
+هي آلية لكن بتنقل power أو قدرة يعني زي ال slotted
+
+706
+01:08:10,410 --> 01:08:15,820
+crank mechanismفي ال engine بتاع السيارة بسميها
+
+707
+01:08:15,820 --> 01:08:19,760
+machine لان بتنقل ال power من ال piston ل ال crank
+
+708
+01:08:19,760 --> 01:08:25,280
+او في حالة ال compressor بيكون ال input عند ال
+
+709
+01:08:25,280 --> 01:08:30,340
+crank الموتور بدور بنقل ال power بيحولها ل
+
+710
+01:08:30,340 --> 01:08:36,300
+pressure عند ال piston معناته طيب
+
+711
+01:08:39,460 --> 01:08:43,380
+ان نيجي ل number of degrees of freedom for a plan
+
+712
+01:08:43,380 --> 01:08:49,220
+mechanism عدد اللي هي درجات
+
+713
+01:08:49,220 --> 01:08:55,840
+الحرية او درجات الحركة للاليات في المستوى ال
+
+714
+01:08:55,840 --> 01:08:59,580
+degrees of freedom هي عدد ال input parameters
+
+715
+01:09:02,430 --> 01:09:08,810
+الممكن اتحكم فيها بشكل مستقل عشان اوصل ال .. ال ..
+
+716
+01:09:08,810 --> 01:09:10,090
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+717
+01:09:10,090 --> 01:09:10,410
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+718
+01:09:10,410 --> 01:09:10,510
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+719
+01:09:10,510 --> 01:09:11,590
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+720
+01:09:11,590 --> 01:09:12,410
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+721
+01:09:12,410 --> 01:09:13,370
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+722
+01:09:13,370 --> 01:09:13,470
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+723
+01:09:13,470 --> 01:09:13,990
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+724
+01:09:13,990 --> 01:09:16,250
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+725
+01:09:16,250 --> 01:09:19,370
+.. ال ..
+
+726
+01:09:19,370 --> 01:09:24,510
+ال .. ال ..
+
+727
+01:09:24,510 --> 01:09:25,910
+ال .. ال .. ال
+
+728
+01:09:30,740 --> 01:09:36,940
+بدي احكي درجة انسهار درجة انسهار اي مادة درجة
+
+729
+01:09:36,940 --> 01:09:43,200
+انسهار اي مادة مثلا احكي درجة انسهار المياه بتعتمد
+
+730
+01:09:43,200 --> 01:09:52,720
+على الضغط ودرجة الحرارة معناته انا ممكن اغير الضغط
+
+731
+01:09:52,720 --> 01:09:56,700
+بشكل مستقل ودرجة الحرارة بشكل مستقل عشان اغير درجة
+
+732
+01:09:56,700 --> 01:10:03,430
+انسهارالمية ال output parameter ندياش درجة النصهار
+
+733
+01:10:03,430 --> 01:10:08,170
+ال input parameters للتحكم في درجة النصهار هي
+
+734
+01:10:08,170 --> 01:10:12,090
+الضغط ودرجة الحرارة هذول ال input parameters
+
+735
+01:10:12,090 --> 01:10:15,730
+بيسموه ال degrees of freedom اللي هم هذول ال
+
+736
+01:10:15,730 --> 01:10:20,270
+degrees of freedom اللي بتحكم فيها من خلالهم في
+
+737
+01:10:20,270 --> 01:10:26,530
+درجة نصهار الميةمعنى degrees of freedom لأي نظام
+
+738
+01:10:26,530 --> 01:10:29,410
+ميكانيكي مش بضروري يكون في القليل فقط degrees of
+
+739
+01:10:29,410 --> 01:10:33,370
+freedom هو number of independent input parameters
+
+740
+01:10:33,370 --> 01:10:36,610
+needed to control some output degrees of freedom
+
+741
+01:10:36,610 --> 01:10:40,510
+number of independent input parameters needed to
+
+742
+01:10:40,510 --> 01:10:46,690
+fully control some output يعني to control the
+
+743
+01:10:46,690 --> 01:10:52,840
+melting temperature أو melting point of waterWe
+
+744
+01:10:52,840 --> 01:10:59,000
+need to change pressure and temperature يعني ال
+
+745
+01:10:59,000 --> 01:11:01,180
+degrees of freedom في الحالة هذي تكون اتنين
+
+746
+01:11:01,180 --> 01:11:05,600
+degrees of freedom تكون اتنين لو احتجت متغير واحد
+
+747
+01:11:05,600 --> 01:11:10,720
+عشان اسيطر على متغير اخر معناته تكون degrees of
+
+748
+01:11:10,720 --> 01:11:15,920
+freedom واحد لو احتجت تلاتة parameters عشان اسيطر
+
+749
+01:11:15,920 --> 01:11:18,100
+على output معين معناه degrees of freedom تكون
+
+750
+01:11:18,100 --> 01:11:18,720
+تلاتة
+
+751
+01:11:21,910 --> 01:11:27,570
+نشوف عندنا هنا four bar linkage four bar linkage
+
+752
+01:11:27,570 --> 01:11:40,290
+عندنا
+
+753
+01:11:40,290 --> 01:11:48,530
+link واحد link اتنين link تلاتة link اربعة الان لو
+
+754
+01:11:48,530 --> 01:11:54,890
+حركت هذه الزاويةلو حركت فقط ال link اتنين كله
+
+755
+01:11:54,890 --> 01:11:59,510
+هيتحرك معاها معناته what I need is to mobilize او
+
+756
+01:11:59,510 --> 01:12:03,530
+انه لازم احرك اتنين عشان احرك تلاتة و اربعة معناته
+
+757
+01:12:03,530 --> 01:12:10,450
+محتاج اتحكم فقط في زاوية زاوية ال link اتنينهذا
+
+758
+01:12:10,450 --> 01:12:14,270
+system it has one degree of freedom I need only
+
+759
+01:12:14,270 --> 01:12:17,370
+one parameter to control the motion of the whole
+
+760
+01:12:17,370 --> 01:12:21,010
+mechanism عشان انا بسميه number of degree هذا one
+
+761
+01:12:21,010 --> 01:12:27,210
+degree of freedom system نشوف
+
+762
+01:12:27,210 --> 01:12:31,910
+حالة تانية عندي
+
+763
+01:12:31,910 --> 01:12:33,270
+hand system
+
+764
+01:12:43,060 --> 01:12:57,600
+هذه نقطة A B E D C هذه link واحد وهنا واحد هذه
+
+765
+01:12:57,600 --> 01:13:04,900
+link اتنين link تلاتة link اربع و link خمسة
+
+766
+01:13:29,250 --> 01:13:37,210
+لو حركت فقط بس link 2 لو حركت فقط بس link 2 ممكن
+
+767
+01:13:37,210 --> 01:13:42,710
+احصل على اكتر من configuration للميكانيزم هذه عشان
+
+768
+01:13:42,710 --> 01:13:47,190
+احصل على one configuration لازم اتحكم ب two
+
+769
+01:13:47,190 --> 01:13:54,570
+parameter لازم اتحكم بزاوية ال link 2 و ال link 5
+
+770
+01:13:54,570 --> 01:13:57,030
+يعني لازم اتحكم ب theta 1
+
+771
+01:14:01,160 --> 01:14:07,200
+وها دي ثتا اتنين to get one configuration of this
+
+772
+01:14:07,200 --> 01:14:13,180
+mechanism I need to control both theta one and
+
+773
+01:14:13,180 --> 01:14:17,980
+theta two معناته انا محتاج two input parameters to
+
+774
+01:14:17,980 --> 01:14:22,500
+get one specific configuration of this mechanism
+
+775
+01:14:22,500 --> 01:14:24,880
+عشانك بسمي ال system هذا two degrees of freedom
+
+776
+01:14:24,880 --> 01:14:26,980
+system two degrees of freedom system
+
+777
+01:14:51,970 --> 01:14:57,170
+طيب اي link .. اي link لو حكيت هاي ال X
+
+778
+01:15:01,570 --> 01:15:05,690
+هذه ال Y اي link فالت لحاله هيك مش ممسوقة من اي
+
+779
+01:15:05,690 --> 01:15:12,370
+اشي في ال 2D مش ممسوقة من اي حد الماسكها ممكن
+
+780
+01:15:12,370 --> 01:15:20,310
+تتحرك باتجاه ال X و اتجاه ال Y و ممكن تدور يعني
+
+781
+01:15:20,310 --> 01:15:28,250
+ممكن تتحرك X Y و تدور معناته each link بشكل مستقل
+
+782
+01:15:29,250 --> 01:15:40,990
+الها تلاتة motions الها تلاتة motions اذا
+
+783
+01:15:40,990 --> 01:15:44,150
+عملت connection مثلا انا عندي هاي link هادي لحاله
+
+784
+01:15:44,150 --> 01:15:51,230
+free هاي كان عندي link link free في الأول روحت هنا
+
+785
+01:15:51,230 --> 01:15:57,440
+حطيت revolute joint حطيت revolute jointالها هاي
+
+786
+01:15:57,440 --> 01:16:01,580
+واحد هاي اتنين في الأول كانت تتحرك بال X وممكن
+
+787
+01:16:01,580 --> 01:16:05,340
+تتحرك باتجاه ال X واتجاه ال Y وممكن تدور، الها تلت
+
+788
+01:16:05,340 --> 01:16:12,280
+حركات لكن مجرد ما حاطيت واصلة هنا صار مسموح لها
+
+789
+01:16:12,280 --> 01:16:19,380
+فقط تدور معناته فقدت two degrees of freedom يعني
+
+790
+01:16:19,380 --> 01:16:25,330
+each jointبشكل عام each link طالما هي مش متصلة بأي
+
+791
+01:16:25,330 --> 01:16:29,270
+link تانية لها three degrees of freedom مجرد ما
+
+792
+01:16:29,270 --> 01:16:34,290
+أوصل وصلتها في another link فقدت two degrees of
+
+793
+01:16:34,290 --> 01:16:38,450
+freedom يعني each link بتخليها تفقد two degrees of
+
+794
+01:16:38,450 --> 01:16:45,650
+freedom خليني
+
+795
+01:16:45,650 --> 01:16:50,850
+أطلع على الشكل هذا، عندي هنا link واحد
+
+796
+01:16:56,040 --> 01:17:02,800
+مثبتة وعندي link اتنين وعندي
+
+797
+01:17:02,800 --> 01:17:11,160
+link تلاتة وعندي link اربعة لحظة ال link واحد ثابت
+
+798
+01:17:11,160 --> 01:17:17,840
+لا بتتحرك لا في X ولا في Y ولا بالدور معناته مقيدة
+
+799
+01:17:17,840 --> 01:17:19,880
+ال degree of freedom بتاعتها ايه في الساعة الها دي
+
+800
+01:17:19,880 --> 01:17:26,620
+سفر اتنين حرة الها تلت حركاتيعني هنا تلاتة و تلاتة
+
+801
+01:17:26,620 --> 01:17:30,140
+حرة لها تلاتة حركات تلاتة و تلاتة ستة و أربعة حرة
+
+802
+01:17:30,140 --> 01:17:34,500
+يعني تلاتة و تلاتة و تلاتة هيكون ال degree of
+
+803
+01:17:34,500 --> 01:17:38,760
+freedom في الحالة دي ايش تساوي تسعة لأن لو روحت ما
+
+804
+01:17:38,760 --> 01:17:45,520
+سكت عندي هذه ال link واحد هذه
+
+805
+01:17:45,520 --> 01:17:49,920
+اتنين تلاتة اربعة روحت ما سكت
+
+806
+01:17:57,480 --> 01:18:04,340
+مسكت أربعة مع واحد من خلال من خلال revealed joint
+
+807
+01:18:04,340 --> 01:18:09,260
+معناته هذه صار لها degree واحد degree freedom وهذه
+
+808
+01:18:09,260 --> 01:18:13,900
+تلاتة وهذه أربعة وتلاتة سبعة معناته هنا degree of
+
+809
+01:18:13,900 --> 01:18:19,560
+freedom هنا تسعة وهنا سبعة روحت في حالة تالتة روحت
+
+810
+01:18:19,560 --> 01:18:26,460
+مسكت هذه واحد link واحد link اتنين link تلاتة link
+
+811
+01:18:26,460 --> 01:18:27,000
+أربعة
+
+812
+01:18:34,270 --> 01:18:37,470
+مساكت اتنين واربعة بالـ Revolute Jones النقطة هذه
+
+813
+01:18:37,470 --> 01:18:40,430
+النقطة هذه معناته اتنين فقدت two degrees of
+
+814
+01:18:40,430 --> 01:18:44,710
+freedom اذا عندك واحد زاد واحد اتنين زاد تلاتة
+
+815
+01:18:44,710 --> 01:18:54,810
+ثلاثة degrees of freedom عندك خمسة خطوة تالتة اذا
+
+816
+01:18:54,810 --> 01:19:00,670
+عندك ممسوك هنا عندك واحد اتنين تلاتة اربعة
+
+817
+01:19:10,700 --> 01:19:13,120
+مسكت تلاتة في أربعة عند النقطة هذه بـrevolute
+
+818
+01:19:13,120 --> 01:19:18,860
+joint معناته عند هنا صارت واحد واحد واحد واحد صار
+
+819
+01:19:18,860 --> 01:19:24,240
+ال degree of freedom عند ايش تلاتة اخر شئ روح
+
+820
+01:19:24,240 --> 01:19:27,080
+اتمسكت كل ال links من خلال ال revolute joints هاي
+
+821
+01:19:27,080 --> 01:19:32,400
+عندي link واحد وهي link اتنين وهي revolute joint
+
+822
+01:19:32,400 --> 01:19:39,400
+وهي link تلاتة وهي link أربعة
+
+823
+01:19:49,730 --> 01:19:53,030
+في الحالة هذه السفسيرة degrees of freedom واحد I
+
+824
+01:19:53,030 --> 01:19:56,290
+need only one parameter to control the motion of
+
+825
+01:19:56,290 --> 01:20:02,450
+the mechanism معناته when a link is connected to a
+
+826
+01:20:02,450 --> 01:20:05,630
+fixed link by a turning pair two degrees of
+
+827
+01:20:05,630 --> 01:20:13,730
+freedom are lost or destroyed احنا
+
+828
+01:20:13,730 --> 01:20:18,980
+حكينا الميكانيزم عبارة عن kinematic chainin which
+
+829
+01:20:18,980 --> 01:20:24,140
+link in which
+
+830
+01:20:24,140 --> 01:20:28,200
+حكينا الميكانيزم is a kinematic chain in which one
+
+831
+01:20:28,200 --> 01:20:37,700
+of the lengths of the links is fixed في
+
+832
+01:20:37,700 --> 01:20:43,680
+ميكانيزم حكينا أحد ال links لازم تكون ثابتة معناته
+
+833
+01:20:43,680 --> 01:20:49,320
+عدد ال links اللي قابل الحركةسأطرح واحد سيكون عدد
+
+834
+01:20:49,320 --> 01:20:52,140
+ال links ناقص واحد عدد ال links القابض للحركة
+
+835
+01:20:52,140 --> 01:20:56,700
+سيكون ال ناقص واحد ال total number of degrees of
+
+836
+01:20:56,700 --> 01:21:01,240
+freedom لل links اللي هي ال ناقص واحد قبل ما
+
+837
+01:21:01,240 --> 01:21:06,060
+اوصلها ب any other link سيكون كل واحدة تلاتة تلاتة
+
+838
+01:21:06,060 --> 01:21:09,240
+في ال ناقص واحد معناته total number of degrees of
+
+839
+01:21:09,240 --> 01:21:14,020
+freedom before connecting any link to any other
+
+840
+01:21:14,020 --> 01:21:16,360
+link ستكون تلاتة في ال ناقص واحد
+
+841
+01:21:22,220 --> 01:21:25,660
+الان هنجي للمعادلة العامة لتحديد degrees of
+
+842
+01:21:25,660 --> 01:21:29,920
+freedom of a mechanism number of degrees of
+
+843
+01:21:29,920 --> 01:21:33,780
+freedom of a mechanism، عندي mechanism معاها تحتوي
+
+844
+01:21:33,780 --> 01:21:41,720
+على ال links وهذه ال links متصلة بعضها البعض من
+
+845
+01:21:41,720 --> 01:21:46,340
+خلال j binary joints or lower pairs
+
+846
+01:21:49,640 --> 01:21:54,900
+و each number of higher pairs هتكون degrees of
+
+847
+01:21:54,900 --> 01:22:01,220
+freedom N بالساوية تلاتة
+
+848
+01:22:01,220 --> 01:22:10,240
+في L ناقص واحد ناقص
+
+849
+01:22:10,240 --> 01:22:16,220
+اتنين J ناقص H
+
+850
+01:22:22,100 --> 01:22:26,320
+لو خبيت هدول هتمثل degrees of freedom before
+
+851
+01:22:26,320 --> 01:22:30,540
+connecting any link to any other link إذا أضفت
+
+852
+01:22:30,540 --> 01:22:35,140
+number of binary joints كل each binary joint
+
+853
+01:22:35,140 --> 01:22:37,380
+بتفقدني two degrees of freedom يعني الـ two في
+
+854
+01:22:37,380 --> 01:22:42,720
+عددها اتنين جيه و each higher joint بتفقدني one
+
+855
+01:22:42,720 --> 01:22:45,600
+degree of freedom معناه ال total degrees of
+
+856
+01:22:45,600 --> 01:22:49,420
+freedom أنا بستوى تلاتة في الناقص واحد minus two j
+
+857
+01:22:49,420 --> 01:22:50,540
+minus واحد
+
+858
+01:22:53,230 --> 01:22:57,470
+هذا تسمى codes back criterion for mobility of a
+
+859
+01:22:57,470 --> 01:23:00,730
+mechanism having plan motion هذا المعادلة codes
+
+860
+01:23:00,730 --> 01:23:05,930
+back criterion for mobility of a mechanism having
+
+861
+01:23:05,930 --> 01:23:13,230
+plan motion ان
+
+862
+01:23:13,230 --> 01:23:17,220
+نتطلع انا عند هناStructure طبعا الـ Structure
+
+863
+01:23:17,220 --> 01:23:20,360
+Automatic هيبين عندي degrees of freedom عندي ايش؟
+
+864
+01:23:20,360 --> 01:23:24,840
+Zero عندي N، هعندي هنا link واحد، link اتنين، link
+
+865
+01:23:24,840 --> 01:23:28,500
+تلاتة، عندي تلاتة binaries، واحد، اتنين، تلاتة،
+
+866
+01:23:28,500 --> 01:23:34,700
+معناته الـ N هتساويالان هتكون تلاتة فى تلاتة ناقص
+
+867
+01:23:34,700 --> 01:23:41,100
+واحد ناقص اتنين فى تلاتة ناقص سفر يعني هتكون ستة
+
+868
+01:23:41,100 --> 01:23:45,640
+ناقص ستة ناقص سفر سفر مافيش اي degrees of freedom
+
+869
+01:23:45,640 --> 01:23:50,420
+motion is not possible معناته هذه ال structure و
+
+870
+01:23:50,420 --> 01:23:53,100
+ال degrees of freedom بالساوية سفر لو خدت ال
+
+871
+01:23:53,100 --> 01:23:56,800
+structure هذا عندي اي كام link عندي link واحد
+
+872
+01:23:56,800 --> 01:24:05,470
+اتنين تلاتة اربع خمسة ستةمعناته الأن هتساوي تلاتة
+
+873
+01:24:05,470 --> 01:24:10,410
+في ستة ناقص واحد اكتب بيناري جوة عندي واحد اتنين
+
+874
+01:24:10,410 --> 01:24:15,490
+تلاتة اربعة ناقص اتنين في اربعة ناقص سفر يعني
+
+875
+01:24:15,490 --> 01:24:21,370
+تلاتة تلاتة في تلاتة
+
+876
+01:24:21,370 --> 01:24:25,970
+في ناقص اتنين اه في خطأ عندي
+
+877
+01:24:29,450 --> 01:24:34,850
+أنا عندي turn and rejoin وصلة ثلاثية وصلة ثلاثية
+
+878
+01:24:34,850 --> 01:24:38,770
+ووصلة ثلاثية اربع وصلات ثلاثية مانعته ال جيه الجيه
+
+879
+01:24:38,770 --> 01:24:42,750
+هتكون اربع وصلات ثلاثية في اتنين هتكون تستوى
+
+880
+01:24:42,750 --> 01:24:48,250
+تمانية هتكون ماقص اتنين في تمانية ماقص سفر يعني
+
+881
+01:24:48,250 --> 01:24:52,730
+هتكون تستوى عندي تلاتة في ستة خمستاش ماقص ستاش
+
+882
+01:24:52,730 --> 01:24:59,070
+ماقص سفر هتكون تستوى ماقص واحدهذا indeterminate ..
+
+883
+01:24:59,070 --> 01:25:04,230
+indeterminate structure it is structure فيه عنصر
+
+884
+01:25:04,230 --> 01:25:06,190
+إضافي مافيش .. مافيش اللي اللي لازم يعني يا .. يا
+
+885
+01:25:06,190 --> 01:25:10,150
+هذا .. يعني هذا أو هذا مالهم مش لازمة عشانك طلعت
+
+886
+01:25:10,150 --> 01:25:14,470
+ال degrees مقيدة بالزيادة أكتر من اللازم مقيدة سفر
+
+887
+01:25:14,470 --> 01:25:18,270
+ناقص واحد مربطها بالزيادة يعني في عنصر اندي
+
+888
+01:25:18,270 --> 01:25:21,930
+الزيادة عشانك يسميها statistically indeterminate
+
+889
+01:25:21,930 --> 01:25:22,810
+structure
+
+890
+01:25:33,420 --> 01:25:37,900
+عندي four bar linkage link واحد اتنين تلاتة أربعة
+
+891
+01:25:37,900 --> 01:25:44,750
+وأربع joints يعني عندي هنا ال L أربعةو ال J بيستوى
+
+892
+01:25:44,750 --> 01:25:50,910
+أربعة معناته ال N و ال H بيستوى سفر N هتسوى تلاتة
+
+893
+01:25:50,910 --> 01:25:55,970
+في أربعة ناقص واحد ناقص اتنين في أربعة ناقص سفر
+
+894
+01:25:55,970 --> 01:25:59,690
+يعني تلاتة في تلاتة تسعة ناقص تمانية ناقص سفر
+
+895
+01:25:59,690 --> 01:26:03,650
+بالسافر واحد معناته هذا degrees of freedom واحد I
+
+896
+01:26:03,650 --> 01:26:10,450
+need to only move one link to control the whole
+
+897
+01:26:10,450 --> 01:26:14,460
+mechanismعند التانية هذه عند أكمل link واحد،
+
+898
+01:26:14,460 --> 01:26:20,520
+اتنين، تلاتة، أربعة، خمسة link عند هنا عند
+
+899
+01:26:20,520 --> 01:26:25,580
+ال number of links ألبس ساوية خمسة ال number of
+
+900
+01:26:25,580 --> 01:26:33,720
+joints في عند هنا binary عند واحد واحد اتنين زائد
+
+901
+01:26:33,720 --> 01:26:39,860
+عند وصلة ثلاثية واحد اتنين زائد تلاتة زائد اتنين
+
+902
+01:26:39,860 --> 01:26:45,430
+في اتنينيعني هيكون ستة الـ J الآن في الحلقة دي
+
+903
+01:26:45,430 --> 01:26:52,320
+هتستوفر تلاتةفي خمسة ناقص واحد ناقص اتنين في ستة
+
+904
+01:26:52,320 --> 01:26:57,340
+ناقص سفر يعني هيكون تلاتة في اربعة اتناش ناقص
+
+905
+01:26:57,340 --> 01:27:01,620
+اتناش ناقص سفر بستو سفر بيبين اللي هتتحرك من عنده
+
+906
+01:27:01,620 --> 01:27:05,600
+it is a structure and it has zero degree of
+
+907
+01:27:05,600 --> 01:27:10,140
+freedom نبطلع على الميكانيزم هذه واحد اتنين تلاتة
+
+908
+01:27:10,140 --> 01:27:19,340
+اربعة خمسة links الخمسة links ال Lبسوة خمسة length
+
+909
+01:27:19,340 --> 01:27:26,720
+والـ J عندي خمسة jointsو ال H بالساوية سفر معناته
+
+910
+01:27:26,720 --> 01:27:32,160
+الآن بالساوية تلاتة في خمسة ناقص واحد ناقص اتنين
+
+911
+01:27:32,160 --> 01:27:37,640
+في خمسة يعني هكون الساوية اتناش ناقص عشرة بالساوية
+
+912
+01:27:37,640 --> 01:27:40,260
+اتنين معناته ال degrees of freedom في الحالة هذه
+
+913
+01:27:40,260 --> 01:27:47,420
+اتنين I need to control the motion of two links to
+
+914
+01:27:47,420 --> 01:27:51,520
+get a specific configuration of the mechanismمعنى
+
+915
+01:27:51,520 --> 01:27:58,480
+degree of freedom عندي H تساوي اتنين مثال
+
+916
+01:27:58,480 --> 01:28:05,040
+تالت عندي
+
+917
+01:28:05,040 --> 01:28:14,960
+cam وعندي
+
+918
+01:28:14,960 --> 01:28:15,340
+follower
+
+919
+01:28:22,340 --> 01:28:27,700
+عند ال links هال link واحد وال link اتنين وال link
+
+920
+01:28:27,700 --> 01:28:34,820
+تلاتة عند ال number of links ال بيستوى تلاتة ال
+
+921
+01:28:34,820 --> 01:28:41,400
+joints عندي
+
+922
+01:28:41,400 --> 01:28:45,060
+عند ال joints هين one one lower pair joint one
+
+923
+01:28:45,060 --> 01:28:50,480
+lower pair joint هين هاي اتنين زاد عندي higher
+
+924
+01:28:50,480 --> 01:29:01,210
+pair joint هينعند هنا ال J بيساوي اتنين وال H عند
+
+925
+01:29:01,210 --> 01:29:06,530
+higher pair لأن عند هنا line contact واحد معناته
+
+926
+01:29:06,530 --> 01:29:12,510
+ال N هتساوي تلاتة في تلاتة ناقص واحد ناقص اتنين في
+
+927
+01:29:12,510 --> 01:29:18,750
+اتنين ناقص واحد هتساوي تلات اتنين ستة ناقص اربع
+
+928
+01:29:18,750 --> 01:29:22,030
+ناقص واحد واحد
+
+929
+01:29:24,980 --> 01:29:31,140
+معناته ال degrees of freedom is one يعني either I
+
+930
+01:29:31,140 --> 01:29:35,000
+rotate this link to control the motion of this bar
+
+931
+01:29:35,000 --> 01:29:40,060
+او I rotate this part to control the rotation of
+
+932
+01:29:40,060 --> 01:29:42,980
+this mechanism لكن هو على الأغلب بيكون انا هدور
+
+933
+01:29:42,980 --> 01:29:45,980
+الكام هذه عشان اتحكم في حركة ال bar هذا يعني هذا
+
+934
+01:29:45,980 --> 01:29:49,420
+هو هذه الكام وهذا ال follower
+
+935
+01:29:57,160 --> 01:30:03,140
+ناخد المثال .. ناخد اللي هو المثال الأخير و ننهي
+
+936
+01:30:03,140 --> 01:30:13,400
+المحاضرة انا
+
+937
+01:30:13,400 --> 01:30:21,660
+عندي هنا link واحد أو link اتنين او link تلاتة و
+
+938
+01:30:21,660 --> 01:30:32,250
+هنا في عندي اش ردرلنك اتنين تلاتة اربعة wheel عند
+
+939
+01:30:32,250 --> 01:30:38,410
+ال ال number of links بيستوي اربعة number of lower
+
+940
+01:30:38,410 --> 01:30:42,190
+pair joints عندي هاي ال lower pair واحد اتنين
+
+941
+01:30:42,190 --> 01:30:49,250
+تلاتة وعندي ال higher pair joints عندي joint هين
+
+942
+01:30:49,250 --> 01:30:50,850
+واحد
+
+943
+01:30:53,800 --> 01:30:59,760
+معناته الان هتساوي تلاتة في ال ناقص واحد ناقص
+
+944
+01:30:59,760 --> 01:31:05,520
+اتنين J ناقص H هتكون تلاتة في اربعة ناقص واحد ناقص
+
+945
+01:31:05,520 --> 01:31:11,720
+اتنين في تلاتة ناقص واحد يعني هيكون تسعة ناقص ستة
+
+946
+01:31:11,720 --> 01:31:18,650
+ناقص واحد ساوية اتنينI need two degrees of freedom
+
+947
+01:31:18,650 --> 01:31:23,150
+is two I need two parameters to control the motion
+
+948
+01:31:23,150 --> 01:31:25,050
+of this mechanism
+
+949
+01:31:31,490 --> 01:31:36,830
+بنكون اليوم يعني أنهينا المحاضرة الجاية بنكمل
+
+950
+01:31:36,830 --> 01:31:42,570
+باقية ال .. ال chapters بنصحكوا تطلعوا على ال
+
+951
+01:31:42,570 --> 01:31:47,850
+model في حاطة مجموعة كبيرة ممكن حوالي يعني أكتر من
+
+952
+01:31:47,850 --> 01:31:51,630
+عشرة videos بتحاكي حركة الميكانزم كل ال chapter
+
+953
+01:31:51,630 --> 01:31:56,930
+video يعني رائع جدا بنصحكوا تتفرجوا عليها تكلوا
+
+954
+01:31:56,930 --> 01:31:57,210
+العافية
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/0SgUfAugAm0_raw.json b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/0SgUfAugAm0_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..e8406eae07c6195518bf223f12022bf06097b763
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/0SgUfAugAm0_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 1841, "start": 5.25, "end": 18.41, "text": "بسم الله الرحمن الرحيم السلام عليكم ورحمة الله وبركاته اليوم هنستكمل محاضراتنا في مادة نظرية القلات اليوم هكون chapter جديد بعنوان القاليات البسيطة simple mechanisms", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21136, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224, 45595, 20498, 8032, 1863, 14851, 24793, 1211, 3714, 5016, 46958, 2288, 9307, 8315, 8978, 3714, 18513, 3660, 8717, 19913, 2288, 10632, 25062, 1211, 9307, 45595, 20498, 8032, 30544, 7187, 10874, 16254, 3215, 45030, 1863, 2407, 7649, 25062, 6027, 1829, 9307, 29739, 3794, 1829, 9566, 3660, 2199, 15902], "avg_logprob": -0.12555017017982376, "compression_ratio": 1.6453488372093024, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 5.25, "end": 5.95, "word": "بسم", "probability": 0.822509765625}, {"start": 5.95, "end": 6.21, "word": " الله", "probability": 0.96240234375}, {"start": 6.21, "end": 6.61, "word": " الرحمن", "probability": 0.9640299479166666}, {"start": 6.61, "end": 7.05, "word": " الرحيم", "probability": 0.9954427083333334}, {"start": 7.05, "end": 7.57, "word": " السلام", "probability": 0.832275390625}, {"start": 7.57, "end": 8.05, "word": " عليكم", "probability": 0.9560546875}, {"start": 8.05, "end": 8.47, "word": " ورحمة", "probability": 0.8970947265625}, {"start": 8.47, "end": 8.71, "word": " الله", "probability": 0.9697265625}, {"start": 8.71, "end": 9.49, "word": " وبركاته", "probability": 0.98974609375}, {"start": 9.49, "end": 10.11, "word": " اليوم", "probability": 0.778076171875}, {"start": 10.11, "end": 10.77, "word": " هنستكمل", "probability": 0.92861328125}, {"start": 10.77, "end": 11.43, "word": " محاضراتنا", "probability": 0.9500325520833334}, {"start": 11.43, "end": 11.55, "word": " في", "probability": 0.93896484375}, {"start": 11.55, "end": 11.91, "word": " مادة", "probability": 0.919921875}, {"start": 11.91, "end": 12.57, "word": " نظرية", "probability": 0.960693359375}, {"start": 12.57, "end": 13.37, "word": " القلات", "probability": 0.5667317708333334}, {"start": 13.37, "end": 14.29, "word": " اليوم", "probability": 0.8642578125}, {"start": 14.29, "end": 14.69, "word": " هكون", "probability": 0.85791015625}, {"start": 14.69, "end": 15.05, "word": " chapter", "probability": 0.78271484375}, {"start": 15.05, "end": 15.49, "word": " جديد", "probability": 0.9840494791666666}, {"start": 15.49, "end": 15.99, "word": " بعنوان", "probability": 0.8350830078125}, {"start": 15.99, "end": 16.81, "word": " القاليات", "probability": 0.848388671875}, {"start": 16.81, "end": 17.45, "word": " البسيطة", "probability": 0.98798828125}, {"start": 17.45, "end": 17.81, "word": " simple", "probability": 0.578125}, {"start": 17.81, "end": 18.41, "word": " mechanisms", "probability": 0.6796875}], "temperature": 1.0}, {"id": 2, "seek": 3665, "start": 21.55, "end": 36.65, "text": "يعني هنبدأ المحاضرة بتقديم بسيط الأليات أو ال mechanisms أو 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0.9939778645833334}, {"start": 225.09, "end": 226.07, "word": " القوة", "probability": 0.9845377604166666}, {"start": 226.07, "end": 226.63, "word": " بدون", "probability": 0.984130859375}, {"start": 226.63, "end": 226.81, "word": " ما", "probability": 0.86767578125}, {"start": 226.81, "end": 227.01, "word": " يصير", "probability": 0.896484375}, {"start": 227.01, "end": 227.31, "word": " فيه", "probability": 0.91064453125}, {"start": 227.31, "end": 227.65, "word": " اي", "probability": 0.73095703125}, {"start": 227.65, "end": 228.57, "word": " تشوهات", "probability": 0.96552734375}, {"start": 228.57, "end": 228.81, "word": " او", "probability": 0.847900390625}, {"start": 228.81, "end": 229.03, "word": " بدون", "probability": 0.983642578125}, {"start": 229.03, "end": 229.13, "word": " ما", "probability": 0.962890625}, {"start": 229.13, "end": 229.29, "word": " يصير", "probability": 0.9767252604166666}, {"start": 229.29, "end": 229.47, "word": " فيه", "probability": 0.912841796875}, {"start": 229.47, "end": 229.59, "word": " اي", "probability": 0.913330078125}, {"start": 229.59, "end": 230.11, "word": " deformation", "probability": 0.87890625}, {"start": 230.11, "end": 231.19, "word": " معناه", "probability": 0.78076171875}, {"start": 231.19, "end": 231.33, "word": " ان", "probability": 0.320556640625}, {"start": 231.33, "end": 231.37, "word": " ال", "probability": 0.84375}, {"start": 231.37, "end": 231.63, "word": " resistance", "probability": 0.78173828125}, {"start": 231.63, "end": 231.99, "word": " body", "probability": 0.92333984375}, {"start": 231.99, "end": 232.19, "word": " is", "probability": 0.59228515625}, {"start": 232.19, "end": 232.45, "word": " capable", "probability": 0.9404296875}, {"start": 232.45, "end": 232.59, "word": " of", "probability": 0.970703125}, {"start": 232.59, "end": 233.09, "word": " transmitting", "probability": 0.869384765625}, {"start": 233.09, "end": 234.41, "word": " forces", "probability": 0.89306640625}, {"start": 234.41, "end": 235.05, "word": " with", "probability": 0.8994140625}, {"start": 235.05, "end": 235.45, "word": " no", "probability": 0.94189453125}, {"start": 235.45, "end": 236.01, "word": " deformation", "probability": 0.9091796875}], "temperature": 1.0}, {"id": 11, "seek": 25119, "start": 239.07, "end": 251.19, "text": "ال link احنا حكينا الميكانيزم تتكون مجموعة links link 1 link 2 link 3 link 4 ال link لها خاصيتين ال link has two characteristics أول شيء", "tokens": [6027, 2113, 1975, 5016, 8315, 11331, 4117, 1829, 8315, 9673, 1829, 41361, 1829, 11622, 2304, 6055, 2655, 30544, 3714, 7435, 2304, 2407, 27884, 6123, 2113, 502, 2113, 568, 2113, 805, 2113, 1017, 2423, 2113, 5296, 11296, 16490, 33546, 36081, 9957, 2423, 2113, 575, 732, 10891, 5551, 12610, 44049, 38207], "avg_logprob": -0.2348437511920929, "compression_ratio": 1.3525179856115108, "no_speech_prob": 0.0, "words": [{"start": 239.07, "end": 239.37, "word": "ال", "probability": 0.9423828125}, {"start": 239.37, "end": 239.71, "word": " link", "probability": 0.7509765625}, {"start": 239.71, "end": 240.05, "word": " احنا", "probability": 0.8746744791666666}, {"start": 240.05, "end": 240.43, "word": " حكينا", "probability": 0.9779052734375}, {"start": 240.43, "end": 241.63, "word": " الميكانيزم", "probability": 0.73931884765625}, {"start": 241.63, "end": 241.95, "word": " تتكون", "probability": 0.86962890625}, {"start": 241.95, "end": 242.29, "word": " مجموعة", "probability": 0.880859375}, {"start": 242.29, "end": 242.61, "word": " links", "probability": 0.83837890625}, {"start": 242.61, "end": 243.21, "word": " link", "probability": 0.59130859375}, {"start": 243.21, "end": 243.49, "word": " 1", "probability": 0.36669921875}, {"start": 243.49, "end": 243.75, "word": " link", "probability": 0.55859375}, {"start": 243.75, "end": 243.93, "word": " 2", "probability": 0.92626953125}, {"start": 243.93, "end": 244.15, "word": " link", "probability": 0.962890625}, {"start": 244.15, "end": 244.41, "word": " 3", "probability": 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relative motion with respect to other links اتنين it must be a resistant body اللينكات في أنواع من ال links في عندي rigid link زي هذه هعندي rigid link هعندي rigid link", "tokens": [2304, 3615, 8315, 47395, 257, 2113, 820, 4386, 1975, 2407, 257, 2113, 575, 732, 10891, 5551, 12610, 11933, 8592, 1829, 309, 820, 362, 4972, 5394, 365, 3104, 281, 661, 6123, 1975, 2655, 1863, 9957, 309, 1633, 312, 257, 20383, 1772, 13672, 9957, 4117, 9307, 8978, 14739, 14407, 3615, 9154, 2423, 6123, 8978, 18871, 16254, 22195, 2113, 30767, 1829, 29538, 8032, 3615, 1863, 16254, 22195, 2113, 8032, 3615, 1863, 16254, 22195, 2113], "avg_logprob": -0.1901041633552975, "compression_ratio": 1.535, "no_speech_prob": 0.0, "words": [{"start": 277.12, "end": 277.68, "word": "معناته", "probability": 0.90185546875}, {"start": 277.68, "end": 278.22, "word": " a", "probability": 0.424072265625}, {"start": 278.22, "end": 278.4, "word": " link", "probability": 0.97607421875}, {"start": 278.4, "end": 278.66, "word": " should", 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{"start": 283.04, "end": 283.34, "word": " relative", "probability": 0.94384765625}, {"start": 283.34, "end": 283.66, "word": " motion", "probability": 0.9755859375}, {"start": 283.66, "end": 283.8, "word": " with", "probability": 0.92236328125}, {"start": 283.8, "end": 284.12, "word": " respect", "probability": 0.9619140625}, {"start": 284.12, "end": 284.26, "word": " to", "probability": 0.9755859375}, {"start": 284.26, "end": 284.5, "word": " other", "probability": 0.89111328125}, {"start": 284.5, "end": 284.86, "word": " links", "probability": 0.93212890625}, {"start": 284.86, "end": 285.58, "word": " اتنين", "probability": 0.9049072265625}, {"start": 285.58, "end": 286.28, "word": " it", "probability": 0.86279296875}, {"start": 286.28, "end": 286.6, "word": " must", "probability": 0.88818359375}, {"start": 286.6, "end": 286.94, "word": " be", "probability": 0.9677734375}, {"start": 286.94, "end": 287.16, "word": " a", "probability": 0.97119140625}, {"start": 287.16, "end": 287.52, "word": " resistant", "probability": 0.90625}, {"start": 287.52, "end": 288.5, "word": " body", "probability": 0.8720703125}, {"start": 288.5, "end": 291.9, "word": " اللينكات", "probability": 0.79669189453125}, {"start": 291.9, "end": 292.2, "word": " في", "probability": 0.81298828125}, {"start": 292.2, "end": 292.68, "word": " أنواع", "probability": 0.92138671875}, {"start": 292.68, "end": 292.84, "word": " من", "probability": 0.994140625}, {"start": 292.84, "end": 292.96, "word": " ال", "probability": 0.92041015625}, {"start": 292.96, "end": 293.36, "word": " links", "probability": 0.935546875}, {"start": 293.36, "end": 295.8, "word": " في", "probability": 0.61181640625}, {"start": 295.8, "end": 296.04, "word": " عندي", "probability": 0.84033203125}, {"start": 296.04, "end": 296.52, "word": " rigid", "probability": 0.912109375}, {"start": 296.52, "end": 297.12, "word": " link", "probability": 0.9658203125}, {"start": 297.12, "end": 299.06, "word": " زي", "probability": 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1.0}, {"id": 18, "seek": 44421, "start": 418.63, "end": 444.21, "text": "يتم نقل الحركة بيد الأعضاء الميكانيكية من خلال سائل أو غاز يعني ناخد مثال بسيط عندي هنا مكبس و عندي هنا كمان مكبس صغير", "tokens": [36081, 2304, 8717, 4587, 1211, 21542, 31747, 3660, 4724, 25708, 16247, 3615, 11242, 16606, 9673, 1829, 41361, 1829, 4117, 10632, 9154, 16490, 1211, 6027, 8608, 16373, 1211, 34051, 32771, 31377, 37495, 22653, 8717, 47283, 3215, 50113, 6027, 4724, 3794, 1829, 9566, 18871, 16254, 34105, 3714, 4117, 3555, 3794, 4032, 18871, 16254, 34105, 9122, 2304, 7649, 3714, 4117, 3555, 3794, 20328, 17082, 13546], "avg_logprob": -0.11929563846853045, "compression_ratio": 1.6015037593984962, "no_speech_prob": 0.0, "words": [{"start": 418.63, "end": 419.25, "word": "يتم", "probability": 0.795654296875}, {"start": 419.25, "end": 419.75, "word": " نقل", "probability": 0.98876953125}, {"start": 419.75, "end": 420.35, "word": " الحركة", "probability": 0.9925130208333334}, {"start": 420.35, "end": 420.55, "word": " بيد", "probability": 0.577392578125}, {"start": 420.55, "end": 421.13, "word": " الأعضاء", "probability": 0.95361328125}, {"start": 421.13, "end": 422.17, "word": " الميكانيكية", "probability": 0.87841796875}, {"start": 422.17, "end": 423.25, "word": " من", "probability": 0.96826171875}, {"start": 423.25, "end": 423.87, "word": " خلال", "probability": 0.99609375}, {"start": 423.87, "end": 425.17, "word": " سائل", "probability": 0.9736328125}, {"start": 425.17, "end": 425.55, "word": " أو", "probability": 0.75439453125}, {"start": 425.55, "end": 425.89, "word": " غاز", "probability": 0.9755859375}, {"start": 425.89, "end": 427.19, "word": " يعني", "probability": 0.6363525390625}, {"start": 427.19, "end": 428.55, "word": " ناخد", "probability": 0.94189453125}, {"start": 428.55, "end": 428.89, "word": " مثال", "probability": 0.97607421875}, {"start": 428.89, "end": 429.49, "word": " بسيط", "probability": 0.9951171875}, {"start": 429.49, "end": 436.29, "word": " عندي", "probability": 0.648193359375}, {"start": 436.29, "end": 436.41, "word": " هنا", "probability": 0.75439453125}, {"start": 436.41, "end": 437.13, "word": " مكبس", "probability": 0.9805908203125}, {"start": 437.13, "end": 441.55, "word": " و", "probability": 0.650390625}, {"start": 441.55, "end": 441.89, "word": " عندي", "probability": 0.7125244140625}, {"start": 441.89, "end": 442.11, "word": " هنا", "probability": 0.92333984375}, {"start": 442.11, "end": 442.49, "word": " كمان", "probability": 0.9755859375}, {"start": 442.49, "end": 443.13, "word": " مكبس", "probability": 0.9915771484375}, {"start": 443.13, "end": 444.21, "word": " صغير", "probability": 0.9952799479166666}], "temperature": 1.0}, {"id": 19, "seek": 47677, "start": 449.35, "end": 476.77, "text": "و في عندهين فئة سائل زيت عندهين زيت و عندهين piston و عندهين piston ازدغط ب force", "tokens": [2407, 8978, 43242, 3224, 9957, 6156, 19986, 3660, 8608, 16373, 1211, 30767, 36081, 43242, 3224, 9957, 30767, 36081, 4032, 43242, 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"probability": 0.95263671875}, {"start": 465.59, "end": 467.71, "word": " piston", "probability": 0.79833984375}, {"start": 467.71, "end": 470.23, "word": " و", "probability": 0.5576171875}, {"start": 470.23, "end": 470.77, "word": " عندهين", "probability": 0.9793294270833334}, {"start": 470.77, "end": 472.11, "word": " piston", "probability": 0.88671875}, {"start": 472.11, "end": 475.83, "word": " ازدغط", "probability": 0.7552734375}, {"start": 475.83, "end": 476.05, "word": " ب", "probability": 0.900390625}, {"start": 476.05, "end": 476.77, "word": " force", "probability": 0.9443359375}], "temperature": 1.0}, {"id": 20, "seek": 49349, "start": 478.47, "end": 493.49, "text": "ع ال piston هذا F1 ال piston هذا هيضغط ال fluid الفلود هيطلع ال piston التاني لأعلى يعني إذا ال piston رقم واحد نزل ال piston التاني بطلع", "tokens": [3615, 2423, 30002, 23758, 479, 16, 2423, 30002, 23758, 39896, 11242, 17082, 9566, 2423, 9113, 27188, 1211, 23328, 39896, 9566, 1211, 3615, 2423, 30002, 16712, 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يدور مسموح له يدور", "tokens": [6027, 39184, 18467, 8032, 36081, 5016, 31747, 787, 294, 341, 3513, 3714, 38251, 2407, 5016, 6055, 2655, 5016, 31747, 39627, 15730, 2423, 9307, 7435, 40294, 12399, 20449, 8315, 47395, 29538, 21542, 31747, 3660, 11331, 31747, 3660, 3714, 4587, 25708, 3660, 4724, 8592, 28820, 9122, 10943, 1211, 8717, 4587, 22488, 11331, 6027, 3660, 6055, 7649, 10632, 18871, 16254, 11838, 4032, 3615, 1863, 16254, 18467, 4032, 3615, 1863, 16254, 1011, 20672, 4032, 1011, 20672, 2423, 18467, 3714, 38251, 2407, 5016, 46740, 7251, 3215, 13063, 3714, 38251, 2407, 5016, 46740, 7251, 3215, 13063], "avg_logprob": -0.21274038068540804, "compression_ratio": 1.7195767195767195, "no_speech_prob": 0.0, "words": [{"start": 911.92, "end": 912.24, "word": "الـ", "probability": 0.5919189453125}, {"start": 912.24, "end": 912.4, "word": " shaft", "probability": 0.81640625}, {"start": 912.4, "end": 912.88, "word": " هيتحرك", "probability": 0.8543701171875}, {"start": 912.88, "end": 913.34, 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"text": "لكن ممنوع ان يتحرك بهذا الاتجاه ممنوع ان يتحرك بهذا الاتجاه معناته الحركة مسموحة في اتجاه واحد اللي هو الدوران في الحالة هذه ال motion is completely constrained في النوع التاني اللي هو in completely constrained motion", "tokens": [1211, 19452, 3714, 27842, 45367, 16472, 7251, 2655, 5016, 31747, 39627, 15730, 2423, 9307, 7435, 40294, 3714, 27842, 45367, 16472, 7251, 2655, 5016, 31747, 39627, 15730, 2423, 9307, 7435, 40294, 20449, 8315, 47395, 21542, 31747, 3660, 3714, 38251, 2407, 5016, 3660, 8978, 1975, 2655, 7435, 40294, 36764, 24401, 13672, 1829, 31439, 32748, 13063, 7649, 8978, 21542, 6027, 3660, 29538, 2423, 5394, 307, 2584, 38901, 8978, 28239, 45367, 16712, 7649, 1829, 13672, 1829, 31439, 294, 2584, 38901, 5394], "avg_logprob": -0.17187500630433744, "compression_ratio": 2.0238095238095237, "no_speech_prob": 0.0, "words": [{"start": 934.33, "end": 934.97, "word": "لكن", "probability": 0.884521484375}, {"start": 934.97, "end": 936.17, "word": " ممنوع", "probability": 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between the pair can take place in more than one direction الحركة ممكن تكون في أكتر من اتجاه يعني أنا عندي هنا مبين عندي", "tokens": [6027, 39184, 5394, 1296, 264, 6119, 393, 747, 1081, 294, 544, 813, 472, 3513, 21542, 31747, 3660, 3714, 43020, 6055, 30544, 8978, 5551, 4117, 2655, 2288, 9154, 1975, 2655, 7435, 40294, 37495, 22653, 41850, 18871, 16254, 34105, 3714, 3555, 9957, 18871, 16254], "avg_logprob": -0.27797963868739994, "compression_ratio": 1.3071428571428572, "no_speech_prob": 0.0, "words": [{"start": 959.26, "end": 959.56, "word": "الـ", "probability": 0.3670654296875}, {"start": 959.56, "end": 959.96, "word": " motion", "probability": 0.849609375}, {"start": 959.96, "end": 960.3, "word": " between", "probability": 0.8359375}, {"start": 960.3, "end": 962.04, "word": " the", "probability": 0.6923828125}, {"start": 962.04, "end": 962.5, "word": " pair", "probability": 0.697265625}, {"start": 962.5, "end": 962.86, "word": " can", "probability": 0.91455078125}, {"start": 962.86, 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{"start": 977.86, "end": 978.52, "word": " ممكن", "probability": 0.819580078125}, {"start": 978.52, "end": 978.9, "word": " يتحرك", "probability": 0.92041015625}, {"start": 978.9, "end": 979.34, "word": " او", "probability": 0.654296875}, {"start": 979.34, "end": 979.66, "word": " باتجاه", "probability": 0.822021484375}, {"start": 979.66, "end": 980.22, "word": " الدوران", "probability": 0.9811197916666666}, {"start": 980.22, "end": 980.94, "word": " او", "probability": 0.956787109375}, {"start": 980.94, "end": 981.8, "word": " باتجاه", "probability": 0.877197265625}, {"start": 981.8, "end": 982.18, "word": " ال", "probability": 0.93115234375}, {"start": 982.18, "end": 982.6, "word": " axle", "probability": 0.71923828125}, {"start": 982.6, "end": 983.42, "word": " معناته", "probability": 0.8806966145833334}, {"start": 983.42, "end": 984.4, "word": " we", "probability": 0.54833984375}, {"start": 984.4, "end": 984.7, "word": " have", "probability": 0.97119140625}, {"start": 984.7, "end": 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"seek": 138133, "start": 1352.51, "end": 1381.33, "text": "بين تلاتة وأربعة عندي هنا برضه turning pear النوع التالت rolling pear أو زوج تدحرجي زوج تدحرجي يعني عندي هنا surface وعندي دولاب هذا can roll", "tokens": [3555, 9957, 6055, 1211, 9307, 3660, 36725, 25513, 27884, 18871, 16254, 34105, 4724, 43042, 3224, 6246, 37320, 28239, 45367, 16712, 6027, 2655, 9439, 37320, 34051, 30767, 29245, 6055, 3215, 5016, 47341, 1829, 30767, 29245, 6055, 3215, 5016, 47341, 1829, 37495, 22653, 18871, 16254, 34105, 3753, 4032, 3615, 1863, 16254, 11778, 12610, 16758, 23758, 393, 3373], "avg_logprob": -0.20396204931395395, "compression_ratio": 1.5241379310344827, "no_speech_prob": 0.0, "words": [{"start": 1352.51, "end": 1352.95, "word": "بين", "probability": 0.8798828125}, {"start": 1352.95, "end": 1353.49, "word": " تلاتة", "probability": 0.9427490234375}, {"start": 1353.49, "end": 1353.85, "word": " وأربعة", "probability": 0.8162434895833334}, {"start": 1353.85, "end": 1354.15, "word": " عندي", 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of the pear rolls with respect to the other element of the pear زي ال ball and roller bearings في حالة ال bearings في عندى كورات بتتدحرج حوالين ال inner race او ال outer race of the bearing في عندى ال screw pear", "tokens": [3224, 1829, 38251, 1829, 11296, 9439, 37320, 472, 4478, 295, 264, 37320, 15767, 365, 3104, 281, 264, 661, 4478, 295, 264, 37320, 30767, 1829, 2423, 2594, 293, 15948, 36297, 8978, 11331, 6027, 3660, 2423, 36297, 8978, 43242, 7578, 9122, 13063, 9307, 39894, 2655, 3215, 5016, 47341, 11331, 2407, 6027, 9957, 2423, 7284, 4569, 1975, 2407, 2423, 10847, 4569, 295, 264, 17350, 8978, 43242, 7578, 2423, 5630, 37320], "avg_logprob": -0.23471966320100954, "compression_ratio": 1.644808743169399, "no_speech_prob": 0.0, "words": [{"start": 1383.4900000000002, "end": 1384.3100000000002, "word": "هيسميها", "probability": 0.6685791015625}, {"start": 1384.3100000000002, "end": 1385.13, "word": " rolling", "probability": 0.28466796875}, {"start": 1385.13, "end": 1385.99, "word": " 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اللوح", "probability": 0.9739583333333334}, {"start": 1536.47, "end": 1538.97, "word": " عبارة", "probability": 0.993408203125}, {"start": 1538.97, "end": 1539.23, "word": " عن", "probability": 0.99462890625}, {"start": 1539.23, "end": 1539.91, "word": " surface", "probability": 0.90966796875}, {"start": 1539.91, "end": 1541.15, "word": " فى", "probability": 0.953857421875}, {"start": 1541.15, "end": 1541.53, "word": " حالة", "probability": 0.9978841145833334}, {"start": 1541.53, "end": 1541.77, "word": " ال", "probability": 0.7060546875}, {"start": 1541.77, "end": 1542.25, "word": " revolute", "probability": 0.8408203125}, {"start": 1542.25, "end": 1542.77, "word": " pair", "probability": 0.90869140625}], "temperature": 1.0}, {"id": 63, "seek": 156741, "start": 1544.45, "end": 1567.41, "text": "التلامس على المحيط عبارة عن سطح أسطواني it is a surface لكنه it is not a flat surface 3D surface فهذا يسمي lower pair بيكون التلامس بين ال elements forming the pair is along a surface في ال 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the other يعني في حالة sliding pair ال surface تاع المسافة slide على ال surface تاع اللوح في حالة revolute pair او tearing pair ال cylindrical surface to this link it turns او slides", "tokens": [36054, 2868, 295, 472, 4478, 9788, 670, 264, 3753, 295, 264, 661, 37495, 22653, 8978, 11331, 6027, 3660, 21169, 6119, 2423, 3753, 6055, 45761, 9673, 3794, 31845, 3660, 4137, 15844, 2423, 3753, 6055, 45761, 13672, 2407, 5016, 8978, 11331, 6027, 3660, 16908, 1169, 6119, 1975, 2407, 29401, 6119, 2423, 28044, 15888, 3753, 281, 341, 2113, 309, 4523, 1975, 2407, 9788], "avg_logprob": -0.3127561534037355, "compression_ratio": 1.701219512195122, "no_speech_prob": 0.0, "words": [{"start": 1570.37, "end": 1571.07, "word": "surface", "probability": 0.846923828125}, {"start": 1571.07, "end": 1571.33, "word": " of", "probability": 0.9638671875}, {"start": 1571.33, "end": 1571.77, "word": " one", "probability": 0.9462890625}, {"start": 1571.77, "end": 1572.19, "word": " element", "probability": 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higher pairs طبعا each higher pair is equivalent to two lower pairs plus a link", "tokens": [3224, 24192, 9673, 3615, 18513, 1211, 9307, 3714, 43020, 8717, 22488, 1211, 11296, 4724, 5016, 1829, 12984, 6055, 30544, 12174, 16758, 37977, 24976, 995, 14851, 9778, 3215, 10943, 8978, 11331, 6027, 3660, 2423, 39184, 15784, 14911, 12626, 13672, 1829, 4724, 1829, 30544, 6055, 2655, 11242, 27842, 2946, 15494, 23032, 3555, 3615, 995, 1184, 2946, 6119, 307, 10344, 281, 732, 3126, 15494, 1804, 257, 2113], "avg_logprob": -0.23473557692307692, "compression_ratio": 1.3701657458563536, "no_speech_prob": 0.0, "words": [{"start": 2457.74, "end": 2458.18, "word": "هذه", "probability": 0.6376953125}, {"start": 2458.18, "end": 2458.9, "word": " المعادلات", "probability": 0.83623046875}, {"start": 2458.9, "end": 2460.42, "word": " ممكن", "probability": 0.787353515625}, {"start": 2460.42, "end": 2461.4, "word": " نعدلها", "probability": 0.7979736328125}, {"start": 2461.4, "end": 2462.18, "word": " بحيث", 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degree of freedom", "tokens": [6027, 1863, 2655, 16373, 7435, 32771, 13546, 44650, 30543, 27884, 5296, 33456, 3224, 3714, 33753, 26108, 5296, 39184, 661, 4314, 295, 5645], "avg_logprob": -0.36854618269464245, "compression_ratio": 0.9651162790697675, "no_speech_prob": 0.0, "words": [{"start": 2935.98, "end": 2936.64, "word": "النتائج", "probability": 0.63487548828125}, {"start": 2936.64, "end": 2936.86, "word": " غير", "probability": 0.995361328125}, {"start": 2936.86, "end": 2937.52, "word": " متوقعة", "probability": 0.9108072916666666}, {"start": 2937.52, "end": 2937.86, "word": " لأنه", "probability": 0.8033854166666666}, {"start": 2937.86, "end": 2938.22, "word": " محتاج", "probability": 0.9767252604166666}, {"start": 2938.22, "end": 2938.42, "word": " لـ", "probability": 0.45172119140625}, {"start": 2938.42, "end": 2938.68, "word": " other", "probability": 0.268310546875}, {"start": 2938.68, "end": 2939.52, "word": " degree", "probability": 0.97265625}, {"start": 2939.52, "end": 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mechanism a mechanism is used for transmitting it for transmitting or transforming motion الميكانيزم تستخدم لنقل الحركة أو تحويل الحركة من صيغة لاخر يعني ممكن احول الحركة من حركة دائرية", "tokens": [1325, 4478, 420, 604, 2113, 295, 264, 5021, 321, 818, 309, 257, 7513, 257, 7513, 307, 1143, 337, 7715, 2414, 309, 337, 7715, 2414, 420, 27210, 5394, 9673, 1829, 41361, 1829, 11622, 2304, 6055, 14851, 9778, 40448, 5296, 1863, 4587, 1211, 21542, 31747, 3660, 34051, 6055, 5016, 2407, 26895, 21542, 31747, 3660, 9154, 20328, 1829, 17082, 3660, 5296, 47283, 2288, 37495, 22653, 3714, 43020, 1975, 5016, 12610, 21542, 31747, 3660, 9154, 11331, 31747, 3660, 11778, 16373, 2288, 10632], "avg_logprob": -0.1587223123900498, "compression_ratio": 1.6613756613756614, "no_speech_prob": 0.0, "words": [{"start": 3986.23, "end": 3986.57, "word": "any", "probability": 0.10296630859375}, {"start": 3986.57, "end": 3987.21, "word": " element", "probability": 0.97412109375}, {"start": 3987.21, "end": 3987.55, 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parameters", "probability": 0.8935546875}, {"start": 4274.88, "end": 4275.36, "word": " عشان", "probability": 0.9933268229166666}, {"start": 4275.36, "end": 4275.92, "word": " اسيطر", "probability": 0.91357421875}, {"start": 4275.92, "end": 4276.1, "word": " على", "probability": 0.94970703125}, {"start": 4276.1, "end": 4276.44, "word": " output", "probability": 0.91943359375}, {"start": 4276.44, "end": 4276.86, "word": " معين", "probability": 0.99267578125}, {"start": 4276.86, "end": 4277.12, "word": " معناه", "probability": 0.8474934895833334}, {"start": 4277.12, "end": 4277.3, "word": " degrees", "probability": 0.75927734375}, {"start": 4277.3, "end": 4277.5, "word": " of", "probability": 0.97314453125}, {"start": 4277.5, "end": 4277.7, "word": " freedom", "probability": 0.9375}, {"start": 4277.7, "end": 4278.1, "word": " تكون", "probability": 0.899658203125}, {"start": 4278.1, "end": 4278.72, "word": " تلاتة", "probability": 0.978271484375}], "temperature": 1.0}, {"id": 164, "seek": 430983, "start": 4281.91, "end": 4309.83, "text": "نشوف عندنا هنا four bar linkage four bar linkage عندنا link واحد link اتنين link تلاتة link اربعة الان لو حركت هذه الزاوية", "tokens": [1863, 8592, 38688, 43242, 8315, 34105, 1451, 2159, 49118, 1451, 2159, 49118, 43242, 8315, 2113, 36764, 24401, 2113, 1975, 2655, 1863, 9957, 2113, 6055, 1211, 9307, 3660, 2113, 1975, 25513, 27884, 2423, 7649, 45164, 11331, 31747, 2655, 29538, 6024, 110, 995, 2407, 10632], "avg_logprob": -0.2526633380488916, "compression_ratio": 1.4471544715447155, "no_speech_prob": 0.0, "words": [{"start": 4281.91, "end": 4282.31, "word": "نشوف", "probability": 0.6834716796875}, {"start": 4282.31, "end": 4282.77, "word": " عندنا", "probability": 0.36181640625}, {"start": 4282.77, "end": 4282.81, "word": " هنا", "probability": 0.56201171875}, {"start": 4282.81, "end": 4283.77, "word": " four", "probability": 0.6650390625}, {"start": 4283.77, "end": 4284.63, "word": " bar", "probability": 0.765625}, {"start": 4284.63, "end": 4285.47, "word": " linkage", "probability": 0.85888671875}, {"start": 4285.47, "end": 4286.33, "word": " four", "probability": 0.630859375}, {"start": 4286.33, "end": 4286.69, "word": " bar", "probability": 0.9150390625}, {"start": 4286.69, "end": 4287.57, "word": " linkage", "probability": 0.96630859375}, {"start": 4287.57, "end": 4300.29, "word": " عندنا", "probability": 0.647705078125}, {"start": 4300.29, "end": 4300.43, "word": " link", "probability": 0.79052734375}, {"start": 4300.43, "end": 4300.97, "word": " واحد", "probability": 0.956298828125}, {"start": 4300.97, "end": 4303.29, "word": " link", "probability": 0.8251953125}, {"start": 4303.29, "end": 4303.87, "word": " اتنين", "probability": 0.94384765625}, {"start": 4303.87, "end": 4305.23, "word": " link", "probability": 0.91162109375}, {"start": 4305.23, "end": 4305.87, "word": " تلاتة", "probability": 0.889892578125}, {"start": 4305.87, "end": 4306.71, "word": " link", "probability": 0.92138671875}, {"start": 4306.71, "end": 4307.17, "word": " اربعة", "probability": 0.8489583333333334}, {"start": 4307.17, "end": 4308.19, "word": " الان", "probability": 0.60015869140625}, {"start": 4308.19, "end": 4308.53, "word": " لو", "probability": 0.97216796875}, {"start": 4308.53, "end": 4309.15, "word": " حركت", "probability": 0.9816080729166666}, {"start": 4309.15, "end": 4309.37, "word": " هذه", "probability": 0.5830078125}, {"start": 4309.37, "end": 4309.83, "word": " الزاوية", "probability": 0.96513671875}], "temperature": 1.0}, {"id": 165, "seek": 432817, "start": 4311.23, "end": 4328.17, "text": "لو حركت فقط ال link اتنين كله هيتحرك معاها معناته what I need is to mobilize او انه لازم احرك اتنين عشان احرك تلاتة و اربعة معناته محتاج اتحكم فقط في زاوية زاوية ال link اتنين", "tokens": [1211, 2407, 11331, 31747, 2655, 6156, 47432, 2423, 2113, 1975, 2655, 1863, 9957, 28242, 3224, 8032, 36081, 5016, 31747, 20449, 995, 11296, 20449, 8315, 47395, 437, 286, 643, 307, 281, 48637, 1975, 2407, 16472, 3224, 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[{"start": 4363.06, "end": 4363.34, "word": "هذه", "probability": 0.753173828125}, {"start": 4363.34, "end": 4363.68, "word": " نقطة", "probability": 0.9832356770833334}, {"start": 4363.68, "end": 4364.04, "word": " A", "probability": 0.70849609375}, {"start": 4364.04, "end": 4365.94, "word": " B", "probability": 0.54248046875}, {"start": 4365.94, "end": 4367.88, "word": " E", "probability": 0.9638671875}, {"start": 4367.88, "end": 4369.5, "word": " D", "probability": 0.9951171875}, {"start": 4369.5, "end": 4371.68, "word": " C", "probability": 0.98583984375}, {"start": 4371.68, "end": 4373.58, "word": " هذه", "probability": 0.66845703125}, {"start": 4373.58, "end": 4373.92, "word": " link", "probability": 0.483154296875}, {"start": 4373.92, "end": 4374.56, "word": " واحد", "probability": 0.967041015625}, {"start": 4374.56, "end": 4375.82, "word": " وهنا", "probability": 0.69091796875}, {"start": 4375.82, "end": 4376.4, "word": " واحد", "probability": 0.976806640625}, {"start": 4376.4, "end": 4377.6, "word": " هذه", "probability": 0.62109375}, {"start": 4377.6, "end": 4377.98, "word": " link", "probability": 0.9658203125}, {"start": 4377.98, "end": 4379.1, "word": " اتنين", "probability": 0.9656982421875}, {"start": 4379.1, "end": 4380.84, "word": " link", "probability": 0.7001953125}, {"start": 4380.84, "end": 4381.66, "word": " تلاتة", "probability": 0.9512939453125}, {"start": 4381.66, "end": 4382.68, "word": " link", "probability": 0.94970703125}, {"start": 4382.68, "end": 4383.34, "word": " اربع", "probability": 0.7911783854166666}, {"start": 4383.34, "end": 4383.9, "word": " و", "probability": 0.80419921875}, {"start": 4383.9, "end": 4384.28, "word": " link", "probability": 0.85498046875}, {"start": 4384.28, "end": 4384.9, "word": " خمسة", "probability": 0.9857177734375}], "temperature": 1.0}, {"id": 168, "seek": 443703, "start": 4409.25, "end": 4437.03, "text": "لو حركت فقط بس link 2 لو حركت فقط بس link 2 ممكن احصل على اكتر من configuration للميكانيزم هذه عشان احصل على one configuration لازم اتحكم ب two parameter لازم اتحكم بزاوية ال link 2 و ال link 5 يعني لازم اتحكم ب theta 1", "tokens": [1211, 2407, 11331, 31747, 2655, 6156, 47432, 4724, 3794, 2113, 568, 45164, 11331, 31747, 2655, 6156, 47432, 4724, 3794, 2113, 568, 3714, 43020, 1975, 5016, 36520, 15844, 1975, 4117, 2655, 2288, 9154, 11694, 5296, 19528, 1829, 41361, 1829, 11622, 2304, 29538, 6225, 8592, 7649, 1975, 5016, 36520, 15844, 472, 11694, 5296, 31377, 2304, 1975, 2655, 5016, 24793, 4724, 732, 13075, 5296, 31377, 2304, 1975, 2655, 5016, 24793, 4724, 11622, 995, 2407, 10632, 2423, 2113, 568, 4032, 2423, 2113, 1025, 37495, 22653, 5296, 31377, 2304, 1975, 2655, 5016, 24793, 4724, 9725, 502], "avg_logprob": -0.15149455987240956, "compression_ratio": 1.8418079096045197, "no_speech_prob": 0.0, "words": [{"start": 4409.25, "end": 4409.59, "word": "لو", "probability": 0.9501953125}, {"start": 4409.59, "end": 4410.09, "word": " حركت", "probability": 0.9752604166666666}, {"start": 4410.09, 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"word": " على", "probability": 0.86962890625}, {"start": 4418.07, "end": 4418.49, "word": " اكتر", "probability": 0.927490234375}, {"start": 4418.49, "end": 4418.71, "word": " من", "probability": 0.98486328125}, {"start": 4418.71, "end": 4419.43, "word": " configuration", "probability": 0.837890625}, {"start": 4419.43, "end": 4420.13, "word": " للميكانيزم", "probability": 0.8133370535714286}, {"start": 4420.13, "end": 4420.49, "word": " هذه", "probability": 0.54296875}, {"start": 4420.49, "end": 4422.71, "word": " عشان", "probability": 0.9833984375}, {"start": 4422.71, "end": 4423.27, "word": " احصل", "probability": 0.9583333333333334}, {"start": 4423.27, "end": 4423.85, "word": " على", "probability": 0.8720703125}, {"start": 4423.85, "end": 4424.27, "word": " one", "probability": 0.9140625}, {"start": 4424.27, "end": 4425.13, "word": " configuration", "probability": 0.7138671875}, {"start": 4425.13, "end": 4426.19, "word": " لازم", "probability": 0.97802734375}, {"start": 4426.19, "end": 4426.77, "word": " اتحكم", "probability": 0.968017578125}, {"start": 4426.77, "end": 4426.97, "word": " ب", "probability": 0.71484375}, {"start": 4426.97, "end": 4427.19, "word": " two", "probability": 0.8115234375}, {"start": 4427.19, "end": 4427.69, "word": " parameter", "probability": 0.50927734375}, {"start": 4427.69, "end": 4427.91, "word": " لازم", "probability": 0.9676106770833334}, {"start": 4427.91, "end": 4428.25, "word": " اتحكم", "probability": 0.988037109375}, {"start": 4428.25, "end": 4428.95, "word": " بزاوية", "probability": 0.8232421875}, {"start": 4428.95, "end": 4430.59, "word": " ال", "probability": 0.92431640625}, {"start": 4430.59, "end": 4430.91, "word": " link", "probability": 0.98583984375}, {"start": 4430.91, "end": 4431.95, "word": " 2", "probability": 0.9189453125}, {"start": 4431.95, "end": 4433.21, "word": " و", "probability": 0.5078125}, {"start": 4433.21, "end": 4433.41, "word": " ال", "probability": 0.87646484375}, {"start": 4433.41, "end": 4433.73, "word": " link", "probability": 0.98681640625}, {"start": 4433.73, "end": 4434.57, "word": " 5", "probability": 0.92236328125}, {"start": 4434.57, "end": 4435.67, "word": " يعني", "probability": 0.85791015625}, {"start": 4435.67, "end": 4435.87, "word": " لازم", "probability": 0.97265625}, {"start": 4435.87, "end": 4436.15, "word": " اتحكم", "probability": 0.9847412109375}, {"start": 4436.15, "end": 4436.29, "word": " ب", "probability": 0.53125}, {"start": 4436.29, "end": 4436.49, "word": " theta", "probability": 0.301025390625}, {"start": 4436.49, "end": 4437.03, "word": " 1", "probability": 0.8720703125}], "temperature": 1.0}, {"id": 169, "seek": 446697, "start": 4441.16, "end": 4466.98, "text": "وها دي ثتا اتنين to get one configuration of this mechanism I need to control both theta one and theta two معناته انا محتاج two input parameters to get one specific configuration of this mechanism عشانك بسمي ال system هذا two degrees of freedom system two degrees of freedom system", "tokens": [2407, 11296, 11778, 1829, 38637, 2655, 995, 1975, 2655, 1863, 9957, 281, 483, 472, 11694, 295, 341, 7513, 286, 643, 281, 1969, 1293, 9725, 472, 293, 9725, 732, 3714, 3615, 8315, 47395, 1975, 8315, 3714, 33753, 26108, 732, 4846, 9834, 281, 483, 472, 2685, 11694, 295, 341, 7513, 6225, 8592, 7649, 4117, 4724, 38251, 1829, 2423, 1185, 23758, 732, 5310, 295, 5645, 1185, 732, 5310, 295, 5645, 1185], "avg_logprob": -0.2459239199541617, "compression_ratio": 1.6512820512820512, "no_speech_prob": 0.0, "words": [{"start": 4441.16, "end": 4441.58, "word": "وها", "probability": 0.50634765625}, {"start": 4441.58, "end": 4442.36, "word": " دي", "probability": 0.883544921875}, {"start": 4442.36, "end": 4442.78, "word": " ثتا", "probability": 0.4684651692708333}, {"start": 4442.78, "end": 4443.14, "word": " اتنين", "probability": 0.9398193359375}, {"start": 4443.14, "end": 4444.9, "word": " to", "probability": 0.32568359375}, {"start": 4444.9, "end": 4445.32, "word": " get", "probability": 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0.95703125}, {"start": 4459.7, "end": 4460.38, "word": " specific", "probability": 0.8408203125}, {"start": 4460.38, "end": 4461.48, "word": " configuration", "probability": 0.853515625}, {"start": 4461.48, "end": 4461.74, "word": " of", "probability": 0.97607421875}, {"start": 4461.74, "end": 4461.98, "word": " this", "probability": 0.96826171875}, {"start": 4461.98, "end": 4462.5, "word": " mechanism", "probability": 0.9599609375}, {"start": 4462.5, "end": 4462.86, "word": " عشانك", "probability": 0.79473876953125}, {"start": 4462.86, "end": 4463.26, "word": " بسمي", "probability": 0.9560546875}, {"start": 4463.26, "end": 4463.34, "word": " ال", "probability": 0.86767578125}, {"start": 4463.34, "end": 4463.54, "word": " system", "probability": 0.9033203125}, {"start": 4463.54, "end": 4463.76, "word": " هذا", "probability": 0.64697265625}, {"start": 4463.76, "end": 4464.06, "word": " two", "probability": 0.853515625}, {"start": 4464.06, "end": 4464.44, "word": " degrees", "probability": 0.947265625}, {"start": 4464.44, "end": 4464.62, "word": " of", "probability": 0.96533203125}, {"start": 4464.62, "end": 4464.88, "word": " freedom", "probability": 0.947265625}, {"start": 4464.88, "end": 4465.3, "word": " system", "probability": 0.9609375}, {"start": 4465.3, "end": 4465.54, "word": " two", "probability": 0.73193359375}, {"start": 4465.54, "end": 4465.84, "word": " degrees", "probability": 0.96435546875}, {"start": 4465.84, "end": 4466.02, "word": " of", "probability": 0.9638671875}, {"start": 4466.02, "end": 4466.32, "word": " freedom", "probability": 0.94384765625}, {"start": 4466.32, "end": 4466.98, "word": " system", "probability": 0.96484375}], "temperature": 1.0}, {"id": 170, "seek": 449717, "start": 4491.97, "end": 4497.17, "text": "طيب اي link .. اي link لو حكيت هاي ال X", "tokens": [9566, 1829, 3555, 1975, 1829, 2113, 4386, 1975, 1829, 2113, 45164, 11331, 4117, 36081, 8032, 47302, 2423, 1783], "avg_logprob": -0.23684210526315788, 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{"id": 171, "seek": 452825, "start": 4501.57, "end": 4528.25, "text": "هذه ال Y اي link فالت لحاله هيك مش ممسوقة من اي اشي في ال 2D مش ممسوقة من اي حد الماسكها ممكن تتحرك باتجاه ال X و اتجاه ال Y و ممكن تدور يعني ممكن تتحرك X Y و تدور معناته each link بشكل مستقل", "tokens": [3224, 24192, 2423, 398, 1975, 1829, 2113, 6156, 6027, 2655, 5296, 5016, 6027, 3224, 39896, 4117, 37893, 3714, 2304, 3794, 2407, 28671, 9154, 1975, 1829, 1975, 8592, 1829, 8978, 2423, 568, 35, 37893, 3714, 2304, 3794, 2407, 28671, 9154, 1975, 1829, 11331, 3215, 9673, 32277, 4117, 11296, 3714, 43020, 6055, 2655, 5016, 31747, 4724, 9307, 7435, 40294, 2423, 1783, 4032, 1975, 2655, 7435, 40294, 2423, 398, 4032, 3714, 43020, 6055, 3215, 13063, 37495, 22653, 3714, 43020, 6055, 2655, 5016, 31747, 1783, 398, 4032, 6055, 3215, 13063, 20449, 8315, 47395, 1184, 2113, 4724, 8592, 28820, 3714, 14851, 4587, 1211], "avg_logprob": -0.2200126319822639, "compression_ratio": 1.8488372093023255, "no_speech_prob": 0.0, "words": 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خلال من خلال revealed joint معناته هذه صار لها degree واحد degree freedom وهذه تلاتة وهذه أربعة وتلاتة سبعة معناته هنا degree of freedom هنا تسعة وهنا سبعة روحت في حالة تالتة روحت مسكت هذه واحد link واحد link اتنين link تلاتة link أربعة", "tokens": [2304, 3794, 4117, 2655, 5551, 25513, 27884, 20449, 36764, 24401, 9154, 16490, 1211, 6027, 9154, 16490, 1211, 6027, 9599, 7225, 20449, 8315, 47395, 29538, 20328, 9640, 5296, 11296, 4314, 36764, 24401, 4314, 5645, 37037, 24192, 6055, 1211, 9307, 3660, 37037, 24192, 5551, 25513, 27884, 34683, 1211, 9307, 3660, 8608, 3555, 27884, 20449, 8315, 47395, 34105, 4314, 295, 5645, 34105, 6055, 3794, 27884, 37037, 8315, 8608, 3555, 27884, 12602, 2407, 33753, 8978, 11331, 6027, 3660, 6055, 6027, 2655, 3660, 12602, 2407, 33753, 47524, 4117, 2655, 29538, 36764, 24401, 2113, 36764, 24401, 2113, 1975, 2655, 1863, 9957, 2113, 6055, 1211, 9307, 3660, 2113, 5551, 25513, 27884], "avg_logprob": -0.2491071337745303, "compression_ratio": 2.098445595854922, 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"probability": 0.7841796875}, {"start": 5385.34, "end": 5385.56, "word": " هذا", "probability": 0.798828125}, {"start": 5385.56, "end": 5385.74, "word": " يعني", "probability": 0.857177734375}, {"start": 5385.74, "end": 5385.98, "word": " هذا", "probability": 0.8857421875}, {"start": 5385.98, "end": 5386.88, "word": " هو", "probability": 0.4912109375}, {"start": 5386.88, "end": 5387.58, "word": " هذه", "probability": 0.2464599609375}, {"start": 5387.58, "end": 5388.1, "word": " الكام", "probability": 0.964111328125}, {"start": 5388.1, "end": 5388.48, "word": " وهذا", "probability": 0.765625}, {"start": 5388.48, "end": 5388.92, "word": " ال", "probability": 0.8359375}, {"start": 5388.92, "end": 5389.42, "word": " follower", "probability": 0.96826171875}], "temperature": 1.0}, {"id": 203, "seek": 542326, "start": 5397.16, "end": 5423.26, "text": "ناخد المثال .. ناخد اللي هو المثال الأخير و ننهي المحاضرة انا عندي هنا link واحد أو link اتنين او link تلاتة و هنا في عندي اش ردر", "tokens": 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5446.37, "word": " higher", "probability": 0.90966796875}, {"start": 5446.37, "end": 5446.75, "word": " pair", "probability": 0.92529296875}, {"start": 5446.75, "end": 5447.51, "word": " joints", "probability": 0.84619140625}, {"start": 5447.51, "end": 5448.63, "word": " عندي", "probability": 0.7314453125}, {"start": 5448.63, "end": 5448.93, "word": " joint", "probability": 0.7197265625}, {"start": 5448.93, "end": 5449.25, "word": " هين", "probability": 0.6317138671875}, {"start": 5449.25, "end": 5450.85, "word": " واحد", "probability": 0.949462890625}], "temperature": 1.0}, {"id": 205, "seek": 547342, "start": 5453.8, "end": 5473.42, "text": "معناته الان هتساوي تلاتة في ال ناقص واحد ناقص اتنين J ناقص H هتكون تلاتة في اربعة ناقص واحد ناقص اتنين في تلاتة ناقص واحد يعني هيكون تسعة ناقص ستة ناقص واحد ساوية اتنين", "tokens": [2304, 3615, 8315, 47395, 2423, 7649, 8032, 2655, 3794, 995, 45865, 6055, 1211, 9307, 3660, 8978, 2423, 8717, 995, 4587, 9381, 36764, 24401, 8717, 995, 4587, 9381, 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5464.44, "word": " ناقص", "probability": 0.995361328125}, {"start": 5464.44, "end": 5464.9, "word": " واحد", "probability": 0.986572265625}, {"start": 5464.9, "end": 5465.52, "word": " ناقص", "probability": 0.9935302734375}, {"start": 5465.52, "end": 5466.04, "word": " اتنين", "probability": 0.980224609375}, {"start": 5466.04, "end": 5466.34, "word": " في", "probability": 0.94970703125}, {"start": 5466.34, "end": 5466.96, "word": " تلاتة", "probability": 0.9725341796875}, {"start": 5466.96, "end": 5467.44, "word": " ناقص", "probability": 0.995849609375}, {"start": 5467.44, "end": 5467.78, "word": " واحد", "probability": 0.9833984375}, {"start": 5467.78, "end": 5467.94, "word": " يعني", "probability": 0.54034423828125}, {"start": 5467.94, "end": 5468.34, "word": " هيكون", "probability": 0.8310546875}, {"start": 5468.34, "end": 5470.46, "word": " تسعة", "probability": 0.97314453125}, {"start": 5470.46, "end": 5471.3, "word": " ناقص", "probability": 0.9949951171875}, {"start": 5471.3, "end": 5471.72, "word": " ستة", "probability": 0.9827473958333334}, {"start": 5471.72, "end": 5472.14, "word": " ناقص", "probability": 0.9959716796875}, {"start": 5472.14, "end": 5472.52, "word": " واحد", "probability": 0.990234375}, {"start": 5472.52, "end": 5473.06, "word": " ساوية", "probability": 0.61065673828125}, {"start": 5473.06, "end": 5473.42, "word": " اتنين", "probability": 0.9794921875}], "temperature": 1.0}, {"id": 206, "seek": 548505, "start": 5475.07, "end": 5485.05, "text": "I need two degrees of freedom is two I need two parameters to control the motion of this mechanism", "tokens": [40, 643, 732, 5310, 295, 5645, 307, 732, 286, 643, 732, 9834, 281, 1969, 264, 5394, 295, 341, 7513], "avg_logprob": -0.30117188692092894, "compression_ratio": 1.240506329113924, "no_speech_prob": 0.0, "words": [{"start": 5475.07, "end": 5475.91, "word": "I", "probability": 0.127197265625}, {"start": 5475.91, "end": 5476.23, "word": " need", "probability": 0.9599609375}, {"start": 5476.23, "end": 5476.41, "word": " two", "probability": 0.8544921875}, {"start": 5476.41, "end": 5476.67, "word": " degrees", "probability": 0.62841796875}, {"start": 5476.67, "end": 5476.85, "word": " of", "probability": 0.599609375}, {"start": 5476.85, "end": 5478.65, "word": " freedom", "probability": 0.93359375}, {"start": 5478.65, "end": 5478.95, "word": " is", "probability": 0.431884765625}, {"start": 5478.95, "end": 5479.37, "word": " two", "probability": 0.9169921875}, {"start": 5479.37, "end": 5479.93, "word": " I", "probability": 0.33642578125}, {"start": 5479.93, "end": 5480.33, "word": " need", "probability": 0.96435546875}, {"start": 5480.33, "end": 5480.69, "word": " two", "probability": 0.8876953125}, {"start": 5480.69, "end": 5481.23, "word": " parameters", "probability": 0.9755859375}, {"start": 5481.23, "end": 5481.53, "word": " to", "probability": 0.9775390625}, {"start": 5481.53, "end": 5482.09, "word": " control", "probability": 0.85986328125}, {"start": 5482.09, "end": 5482.73, "word": " the", "probability": 0.90478515625}, {"start": 5482.73, "end": 5483.15, "word": " motion", "probability": 0.9697265625}, {"start": 5483.15, "end": 5483.47, "word": " of", "probability": 0.97509765625}, {"start": 5483.47, "end": 5483.91, "word": " this", "probability": 0.95166015625}, {"start": 5483.91, "end": 5485.05, "word": " mechanism", "probability": 0.95263671875}], "temperature": 1.0}, {"id": 207, "seek": 551721, "start": 5491.49, "end": 5517.21, "text": "بنكون اليوم يعني أنهينا المحاضرة الجاية بنكمل باقية ال .. ال chapters بنصحكوا تطلعوا على ال model في حاطة مجموعة كبيرة ممكن حوالي يعني أكتر من عشرة videos بتحاكي حركة الميكانزم كل ال chapter video يعني رائع جدا بنصحكوا تتفرجوا عليها تكلوا العافية", "tokens": [3555, 1863, 30544, 45595, 20498, 37495, 22653, 14739, 3224, 1829, 8315, 9673, 5016, 46958, 25720, 25724, 995, 10632, 44945, 24793, 1211, 4724, 995, 4587, 10632, 2423, 4386, 2423, 20013, 44945, 9381, 5016, 4117, 14407, 6055, 9566, 1211, 3615, 14407, 15844, 2423, 2316, 8978, 11331, 41193, 3660, 3714, 7435, 2304, 2407, 27884, 9122, 3555, 48923, 3714, 43020, 11331, 2407, 6027, 1829, 37495, 22653, 5551, 4117, 2655, 2288, 9154, 6225, 8592, 25720, 2145, 39894, 5016, 995, 4117, 1829, 11331, 31747, 3660, 9673, 1829, 41361, 11622, 2304, 28242, 2423, 7187, 960, 37495, 22653, 12602, 16373, 3615, 10874, 28259, 44945, 9381, 5016, 4117, 14407, 6055, 2655, 5172, 47341, 14407, 25894, 11296, 6055, 28820, 14407, 18863, 31845, 10632], "avg_logprob": -0.17146380886174084, "compression_ratio": 1.8051948051948052, "no_speech_prob": 0.0, "words": [{"start": 5491.49, "end": 5492.45, "word": "بنكون", "probability": 0.9290364583333334}, {"start": 5492.45, "end": 5493.03, "word": " اليوم", "probability": 0.951416015625}, {"start": 5493.03, "end": 5493.49, "word": " يعني", "probability": 0.876708984375}, {"start": 5493.49, "end": 5494.05, "word": " أنهينا", "probability": 0.7952880859375}, {"start": 5494.05, "end": 5495.01, "word": " المحاضرة", "probability": 0.9508056640625}, {"start": 5495.01, "end": 5495.33, "word": " الجاية", "probability": 0.6689453125}, {"start": 5495.33, "end": 5496.83, "word": " بنكمل", "probability": 0.888671875}, {"start": 5496.83, "end": 5499.01, "word": " باقية", "probability": 0.79815673828125}, {"start": 5499.01, "end": 5499.39, "word": " ال", "probability": 0.8564453125}, {"start": 5499.39, "end": 5499.47, "word": " ..", "probability": 0.52685546875}, {"start": 5499.47, "end": 5500.01, "word": " ال", "probability": 0.48779296875}, {"start": 5500.01, "end": 5500.43, "word": " chapters", "probability": 0.9052734375}, {"start": 5500.43, "end": 5501.67, "word": " بنصحكوا", "probability": 0.860546875}, {"start": 5501.67, "end": 5502.11, "word": " تطلعوا", "probability": 0.9244140625}, {"start": 5502.11, "end": 5502.27, "word": " على", "probability": 0.75048828125}, {"start": 5502.27, "end": 5502.57, "word": " ال", "probability": 0.90576171875}, {"start": 5502.57, "end": 5503.05, "word": " model", "probability": 0.85302734375}, {"start": 5503.05, "end": 5503.67, "word": " في", "probability": 0.6064453125}, {"start": 5503.67, "end": 5504.11, "word": " حاطة", "probability": 0.8020833333333334}, {"start": 5504.11, "end": 5504.81, "word": " مجموعة", "probability": 0.96376953125}, {"start": 5504.81, "end": 5505.33, "word": " كبيرة", "probability": 0.9856770833333334}, {"start": 5505.33, "end": 5505.61, "word": " ممكن", "probability": 0.5938720703125}, {"start": 5505.61, "end": 5506.95, "word": " حوالي", "probability": 0.934326171875}, {"start": 5506.95, "end": 5507.25, "word": " يعني", "probability": 0.85888671875}, {"start": 5507.25, "end": 5507.69, "word": " أكتر", "probability": 0.93408203125}, {"start": 5507.69, "end": 5507.85, "word": " من", "probability": 0.99658203125}, {"start": 5507.85, "end": 5508.21, "word": " عشرة", "probability": 0.87646484375}, {"start": 5508.21, "end": 5508.81, "word": " videos", "probability": 0.9296875}, {"start": 5508.81, "end": 5509.87, "word": " بتحاكي", "probability": 0.8833984375}, {"start": 5509.87, "end": 5510.29, "word": " حركة", "probability": 0.9967447916666666}, {"start": 5510.29, "end": 5510.85, "word": " الميكانزم", "probability": 0.84638671875}, {"start": 5510.85, "end": 5511.11, "word": " كل", "probability": 0.7978515625}, {"start": 5511.11, "end": 5511.25, "word": " ال", "probability": 0.833984375}, {"start": 5511.25, "end": 5511.63, "word": " chapter", "probability": 0.82275390625}, {"start": 5511.63, "end": 5512.57, "word": " video", "probability": 0.420654296875}, {"start": 5512.57, "end": 5513.07, "word": " يعني", "probability": 0.984130859375}, {"start": 5513.07, "end": 5513.57, "word": " رائع", "probability": 0.8779296875}, {"start": 5513.57, "end": 5513.99, "word": " جدا", "probability": 0.99072265625}, {"start": 5513.99, "end": 5514.81, "word": " بنصحكوا", "probability": 0.94384765625}, {"start": 5514.81, "end": 5515.29, "word": " تتفرجوا", "probability": 0.993359375}, {"start": 5515.29, "end": 5515.69, "word": " عليها", "probability": 0.98681640625}, {"start": 5515.69, "end": 5516.93, "word": " تكلوا", "probability": 0.4585774739583333}, {"start": 5516.93, "end": 5517.21, "word": " العافية", "probability": 0.9059244791666666}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 5519.662, "duration_after_vad": 4883.309375000023}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/0SgUfAugAm0_raw.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/0SgUfAugAm0_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..4c13e1af1e0baf481a2d156e35d29cf358b8312e
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/0SgUfAugAm0_raw.srt
@@ -0,0 +1,3852 @@
+1
+00:00:05,250 --> 00:00:08,710
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,710 --> 00:00:12,570
+وبركاته اليوم هنستكمل محاضراتنا في مادة نظرية
+
+3
+00:00:12,570 --> 00:00:16,810
+القلات اليوم هكون chapter جديد بعنوان القاليات
+
+4
+00:00:16,810 --> 00:00:18,410
+البسيطة simple mechanisms
+
+5
+00:00:21,550 --> 00:00:29,110
+يعني هنبدأ المحاضرة بتقديم بسيط الأليات أو ال
+
+6
+00:00:29,110 --> 00:00:33,490
+mechanisms أو ال linkages موجودة بكثرة في المعدات
+
+7
+00:00:33,490 --> 00:00:38,710
+و المكان سواء كانت معدات ثقيلة أو خفيفةبنجدها ال
+
+8
+00:00:38,710 --> 00:00:41,470
+.. ال .. ال mechanisms في ال .. في ال engine بتاع
+
+9
+00:00:41,470 --> 00:00:44,630
+السيارة ان ال sludder crank mechanism في مكاين
+
+10
+00:00:44,630 --> 00:00:51,550
+الخياطة في .. في .. في معدات النفط متوفرة ..
+
+11
+00:00:51,550 --> 00:00:55,810
+موجودة كتير و في كثير من المعدات وبالتالي دراستها
+
+12
+00:00:55,810 --> 00:01:01,470
+بشكل مفصل ومشكل معمق أصبح ضرورة من أجل تصميمها
+
+13
+00:01:01,470 --> 00:01:06,380
+بطريقة سليمة وطريقة لائقةبما يحقق الهدف من هذه
+
+14
+00:01:06,380 --> 00:01:11,580
+الآلية وبما يحقق إنتاجها وتصنيعها بأقل التكاليف
+
+15
+00:01:11,580 --> 00:01:22,080
+الآن هنبدأ نعرف بعض التعريف الآن أيه لو أخدنا آلية
+
+16
+00:01:22,080 --> 00:01:31,240
+زي هيك هل
+
+17
+00:01:31,240 --> 00:01:31,840
+سميه slider
+
+18
+00:01:34,880 --> 00:01:42,120
+crank mechanism قلية
+
+19
+00:01:42,120 --> 00:01:55,940
+تانية الها
+
+20
+00:01:55,940 --> 00:02:00,540
+اسم four bar mechanism
+
+21
+00:02:07,960 --> 00:02:12,320
+اللحظة اي قالية مكونة من مجموعة من ال elements او
+
+22
+00:02:12,320 --> 00:02:17,600
+ال links يعني هذه بسميها ال link هذه ال link الأرض
+
+23
+00:02:17,600 --> 00:02:22,320
+link ثابتة هاي واحد اتنين ال crank link ال
+
+24
+00:02:22,320 --> 00:02:26,600
+connecting rod ال linkال .. ال slider link يعني
+
+25
+00:02:26,600 --> 00:02:31,920
+القليها مكونة من أربعة link ال four بقى برضه عندي
+
+26
+00:02:31,920 --> 00:02:39,260
+الأرض link ثابتة link لكرانك link اتنين connecting
+
+27
+00:02:39,260 --> 00:02:45,740
+رد link تلاتة ال follower link أربعة فأي قلية
+
+28
+00:02:45,740 --> 00:02:50,340
+مكونة من مجموعة من الأعضاء أو العناصر أو الواصلات
+
+29
+00:02:51,650 --> 00:02:54,490
+معنى لو كنت عرف ال .. ال .. في عندي kinematic link
+
+30
+00:02:54,490 --> 00:02:57,970
+او element each part of a machine هذا .. this is
+
+31
+00:02:57,970 --> 00:03:00,830
+part of a machine which moves related to some
+
+32
+00:03:00,830 --> 00:03:04,630
+other part يعني ال link اتنين اتحرك بالنسبة للأرض
+
+33
+00:03:04,630 --> 00:03:07,030
+و التلاتة اتحرك بالنسبة للاتنين و الأرض اتحرك
+
+34
+00:03:07,030 --> 00:03:08,550
+بالنسبة للتلاتة و الأرض اتحرك بالنسبة لل .. يعني
+
+35
+00:03:09,310 --> 00:03:12,310
+Each link has a relative motion with respect to
+
+36
+00:03:12,310 --> 00:03:16,870
+other parts in the mechanism نفس الأشياء، link 2
+
+37
+00:03:16,870 --> 00:03:21,130
+تتحرك بالنسبة ل 1 و link 3 تتحرك بالنسبة ل 2 و 4
+
+38
+00:03:21,130 --> 00:03:25,630
+تتحرك بالنسبة ل 1 و 4 تتحرك بالنسبة ل 3 ففي اللي
+
+39
+00:03:25,630 --> 00:03:29,250
+هي ال link أو ال kinematic link هي part of a
+
+40
+00:03:29,250 --> 00:03:32,330
+machine which moves relative to some other part in
+
+41
+00:03:32,330 --> 00:03:38,130
+the machineفي عندى ما يسمى resistance body
+
+42
+00:03:38,130 --> 00:03:43,050
+resistance body يعني الجسم المقاوم ال resistance
+
+43
+00:03:43,050 --> 00:03:47,010
+body اللي بيكون قادر على نقل القوة بدون ما يصير
+
+44
+00:03:47,010 --> 00:03:50,110
+فيه اي تشوهات او بدون ما يصير فيه اي deformation
+
+45
+00:03:50,110 --> 00:03:52,590
+معناه ان ال resistance body is capable of
+
+46
+00:03:52,590 --> 00:03:56,010
+transmitting forces with no deformation
+
+47
+00:03:59,070 --> 00:04:02,610
+ال link احنا حكينا الميكانيزم تتكون مجموعة links
+
+48
+00:04:02,610 --> 00:04:08,550
+link 1 link 2 link 3 link 4 ال link لها خاصيتين ال
+
+49
+00:04:08,550 --> 00:04:13,480
+link has two characteristics أول شيءit should have
+
+50
+00:04:13,480 --> 00:04:17,400
+relative motion with respect to other links يعني
+
+51
+00:04:17,400 --> 00:04:19,560
+ال link هذه لازم يكون لها حركة بالنسبة لل links
+
+52
+00:04:19,560 --> 00:04:24,320
+التانية فهي رقم واحد اتنين it must be a resistant
+
+53
+00:04:24,320 --> 00:04:27,160
+body لازم يكون resistant body يعني مش لازم يسير
+
+54
+00:04:27,160 --> 00:04:33,140
+فيها اي انحنقات او اي تشوهات خلال الحركة يعني لازم
+
+55
+00:04:33,140 --> 00:04:38,400
+يكون فيها no deformation هيكون rigidمعناته a link
+
+56
+00:04:38,400 --> 00:04:41,520
+should .. او a link has two characteristics أول
+
+57
+00:04:41,520 --> 00:04:44,260
+إشي it should have relative motion with respect to
+
+58
+00:04:44,260 --> 00:04:48,500
+other links اتنين it must be a resistant body
+
+59
+00:04:48,500 --> 00:04:51,900
+اللينكات
+
+60
+00:04:51,900 --> 00:04:59,380
+في أنواع من ال links في عندي rigid link زي هذه
+
+61
+00:04:59,380 --> 00:05:06,160
+هعندي rigid link هعندي rigid linkRigid link does
+
+62
+00:05:06,160 --> 00:05:09,780
+not undergo any deformation while transmitting
+
+63
+00:05:09,780 --> 00:05:15,640
+motion هذا ال link لا يتغير في أبعادها أو شكلها
+
+64
+00:05:15,640 --> 00:05:20,480
+خلال نقل الحركة ال link تلاتة ما بيصير تغير في
+
+65
+00:05:20,480 --> 00:05:25,940
+أبعادها ولا تغير في شكلها خلال نقل الحركة بسميها
+
+66
+00:05:25,940 --> 00:05:32,760
+rigid rigid link فاندي flexible link flexible link
+
+67
+00:05:32,760 --> 00:05:39,490
+بيصيرpartial deformation بطريقة بحيث ماتأثرش على
+
+68
+00:05:39,490 --> 00:05:45,210
+الحركة يعني لو انا عنده عند هاي poly هنا بكرة و في
+
+69
+00:05:45,210 --> 00:05:51,110
+poly أقبلها هاي
+
+70
+00:05:51,110 --> 00:05:58,170
+مركز ال poly هذه هاي مركز ال poly هذه عند الأرض
+
+71
+00:05:58,170 --> 00:06:08,210
+واحد link رقم واحدالـ poly هذه رقم اتنين والحبل
+
+72
+00:06:08,210 --> 00:06:16,830
+رقم تلاتة وهذه ال poly رقم اربعة لاحظوا
+
+73
+00:06:16,830 --> 00:06:19,830
+ال link ال link اتنين و ال link اربعة ال rigid
+
+74
+00:06:19,830 --> 00:06:24,650
+links بتتغيرش شكلها ولا حجمها خلال الحركة ال link
+
+75
+00:06:24,650 --> 00:06:25,810
+تلاتة اللي هي الحبل
+
+76
+00:06:30,220 --> 00:06:35,300
+بتغير شكله لأن بيصير هنا يلف حوالين البكرة بتغير
+
+77
+00:06:35,300 --> 00:06:38,100
+يعني بيصير فيه deformation هو يلف بيكون يطعج يلف
+
+78
+00:06:38,100 --> 00:06:41,800
+معاه لكن ما بيأثر على الحركة الحركة بين اتنين و
+
+79
+00:06:41,800 --> 00:06:47,780
+اربعة ما بتتأثر بالتغير بالشكل او بال deformation
+
+80
+00:06:47,780 --> 00:06:52,120
+اللي بيصير بال link تلاتة النوع التاني من ال links
+
+81
+00:06:52,120 --> 00:07:00,350
+اللي هي ال fluid link ال fluid linkيتم نقل الحركة
+
+82
+00:07:00,350 --> 00:07:07,190
+بيد الأعضاء الميكانيكية من خلال سائل أو غاز يعني
+
+83
+00:07:07,190 --> 00:07:16,290
+ناخد مثال بسيط عندي
+
+84
+00:07:16,290 --> 00:07:21,550
+هنا مكبس و
+
+85
+00:07:21,550 --> 00:07:24,210
+عندي هنا كمان مكبس صغير
+
+86
+00:07:29,350 --> 00:07:41,210
+و في عندهين فئة سائل زيت عندهين
+
+87
+00:07:41,210 --> 00:07:45,030
+زيت و
+
+88
+00:07:45,030 --> 00:07:55,830
+عندهين piston و عندهين piston ازدغط
+
+89
+00:07:55,830 --> 00:08:03,350
+ب forceع ال piston هذا F1 ال piston هذا هيضغط ال
+
+90
+00:08:03,350 --> 00:08:09,590
+fluid الفلود هيطلع ال piston التاني لأعلى يعني
+
+91
+00:08:09,590 --> 00:08:13,490
+إذا ال piston رقم واحد نزل ال piston التاني بطلع
+
+92
+00:08:14,710 --> 00:08:19,750
+لأن واضح إن هذا this is fluid this is rigid link
+
+93
+00:08:19,750 --> 00:08:22,830
+and this is rigid link انتقلت الحركة من هذا ال
+
+94
+00:08:22,830 --> 00:08:27,050
+piston لهذا ال piston من خلال الزيت، الزيت في
+
+95
+00:08:27,050 --> 00:08:30,850
+الحالة هات بيسمي وصلة مائعة، وصلة مائعة اللي هي
+
+96
+00:08:30,850 --> 00:08:36,460
+ممكن تكون سائل أو غازمعناته ال links بتيجي على تلت
+
+97
+00:08:36,460 --> 00:08:39,720
+أنواع ال rigid link اللي مابيصيرش فيها تغير في
+
+98
+00:08:39,720 --> 00:08:44,360
+الشكل أو الأبعاد خلال نقل الحركة النوع التان ال
+
+99
+00:08:44,360 --> 00:08:48,520
+flex و ال link اللي بيصير فيها deformation خلال
+
+100
+00:08:48,520 --> 00:08:51,320
+نقل الحركة بطريقة بحيث ماتأثرش على الحركة
+
+101
+00:08:51,320 --> 00:08:55,760
+الإجمالية للميكانزم زي حالة ال .. ال .. ال .. ال
+
+102
+00:08:55,760 --> 00:08:59,640
+poles النوع التان ال fluid link ال fluid link يعني
+
+103
+00:08:59,640 --> 00:09:02,600
+بيصير نقد الحركة من خلال ال fluid
+
+104
+00:09:05,710 --> 00:09:10,050
+زي فكرة اللي هو ال jack بتاع السيارة أو ال
+
+105
+00:09:10,050 --> 00:09:17,690
+hydraulic cylinders في الأليات الثقيلة لأ
+
+106
+00:09:17,690 --> 00:09:23,400
+أنا الحمد لله اتعرفالهيكل والقليات فين دي ما يسمى
+
+107
+00:09:23,400 --> 00:09:28,660
+structure هيكل ال structure عبارة عن مجموعة من ال
+
+108
+00:09:28,660 --> 00:09:33,280
+resistant bodies having no relative motion among
+
+109
+00:09:33,280 --> 00:09:36,120
+them and meant for carrying loads ال structure
+
+110
+00:09:36,120 --> 00:09:42,800
+بيكون عبارة عن القطع أو الأجزاء اللي ما بتتحرك وما
+
+111
+00:09:42,800 --> 00:09:47,860
+بيصيرش فيها deformationو الهدف منه حمل الحمل
+
+112
+00:09:47,860 --> 00:10:05,700
+الأحمال يعني ما تشوفه معرش هذا
+
+113
+00:10:05,700 --> 00:10:06,340
+عبارة عن structure
+
+114
+00:10:09,390 --> 00:10:13,310
+ال structure ما بنقل حركة ال structure الهدف منه
+
+115
+00:10:13,310 --> 00:10:20,950
+ان يشيل بحمله بس it does not transform motion
+
+116
+00:10:20,950 --> 00:10:24,670
+امثلة
+
+117
+00:10:24,670 --> 00:10:29,390
+تانية عن ال structures لو
+
+118
+00:10:29,390 --> 00:10:35,360
+بدنا نعمل مقارنة بين ال structure و ال machineفي
+
+119
+00:10:35,360 --> 00:10:41,200
+ال structure الهياكل parts move parts في ال
+
+120
+00:10:41,200 --> 00:10:44,720
+machine parts move relative to one another في ال
+
+121
+00:10:44,720 --> 00:10:48,040
+machine الأجزاء بتاعة الماكن تتحرك بالنسبة لبعضها
+
+122
+00:10:48,040 --> 00:10:51,860
+في ال structure ال parts ما بتتحرك بالنسبة لبعضها
+
+123
+00:10:51,860 --> 00:10:57,600
+ثابتة في ال machinewe transform a value of energy
+
+124
+00:10:57,600 --> 00:11:01,440
+into useful work بنحول الطاقة الموجودة على شكل على
+
+125
+00:11:01,440 --> 00:11:07,200
+شكل شغل مفيد يعني عندي كهربا مثلا بحولها لحركة أو
+
+126
+00:11:07,200 --> 00:11:14,320
+عندي حركة بحولها لكهربا أو عندي حركة هوا بحولها
+
+127
+00:11:14,320 --> 00:11:19,680
+لحركة دورانية فانا بحول الطاقة الموجودة عنده لشغل
+
+128
+00:11:19,680 --> 00:11:24,070
+مفيدفي ال .. في ال structure no energy is
+
+129
+00:11:24,070 --> 00:11:27,650
+transformed into useful ore ماصارش تحويل لأي شكل و
+
+130
+00:11:27,650 --> 00:11:31,750
+أشكال الطاقة عندي هيكل و شاي الأحمال بس ال machine
+
+131
+00:11:33,120 --> 00:11:36,420
+ال links may transmit both power and motion ال
+
+132
+00:11:36,420 --> 00:11:40,320
+links .. اللينكات بتاعة أو أجزاء الماكينة بتنقل ال
+
+133
+00:11:40,320 --> 00:11:44,960
+.. ال power قدرة يعني و .. و .. and motion زاد
+
+134
+00:11:44,960 --> 00:11:48,200
+forces في ال structure parts of a structure
+
+135
+00:11:48,200 --> 00:11:51,060
+transmit forces only في ال structure أو الهيكل
+
+136
+00:11:51,060 --> 00:11:55,620
+الأجزاء بتنقل ال forces من جزء لجزء فقط مافي أي
+
+137
+00:11:55,620 --> 00:11:56,060
+حركة
+
+138
+00:12:00,860 --> 00:12:06,680
+في عندي ال pair ال pair two links of a machine in
+
+139
+00:12:06,680 --> 00:12:10,200
+contact with each other يعني نرجع على ال slotted
+
+140
+00:12:10,200 --> 00:12:23,700
+crank هذه
+
+141
+00:12:23,700 --> 00:12:29,000
+link واحد link اتنين link تلاتة link اربعة
+
+142
+00:12:32,930 --> 00:12:35,650
+عندي link واحد و link اتنين they are in contact
+
+143
+00:12:35,650 --> 00:12:39,290
+with each other معناته هدول pair واحد اتنين pair
+
+144
+00:12:39,290 --> 00:12:42,750
+زوج عندي link اتنين تلاته بينهم contact عند ال
+
+145
+00:12:42,750 --> 00:12:47,390
+joint هدى معناته هدول بسميهم pair تلاتة و اربعة
+
+146
+00:12:47,390 --> 00:12:51,530
+عندهم contact عند ال joint هدى بسميهم اياش pair
+
+147
+00:12:51,530 --> 00:12:56,290
+اربعة و واحد they are we have sliding بين اربعة و
+
+148
+00:12:56,290 --> 00:13:00,930
+واحد معناته اربعة و واحد they are a pair عندي هنا
+
+149
+00:13:00,930 --> 00:13:02,210
+four pairs
+
+150
+00:13:07,880 --> 00:13:11,180
+الان بدي اعرف kinematic pair في ال kinematic pair
+
+151
+00:13:11,180 --> 00:13:13,460
+the relative motion between the links is
+
+152
+00:13:13,460 --> 00:13:16,480
+completely or successfully constrained في حالة ال
+
+153
+00:13:16,480 --> 00:13:21,000
+kinematic pair بيكون الحركة النسبية بين ال links
+
+154
+00:13:21,000 --> 00:13:26,520
+مسيطر عليها بشكل كامل او مسيطر عليها بشكل ناجح لان
+
+155
+00:13:26,520 --> 00:13:33,800
+هنفهم ايش يعني مسيطر بشكل كامل او مسيطر بشكل ناجح
+
+156
+00:13:33,800 --> 00:13:41,520
+او خلنا ناخد تعبير اكتر دقةيعني مقيد بشكل كامل أو
+
+157
+00:13:41,520 --> 00:13:46,600
+مقيد بشكل ناجح مانعتوا عندي؟ Canematic pair the
+
+158
+00:13:46,600 --> 00:13:48,920
+relative motion between the lengths is completely
+
+159
+00:13:48,920 --> 00:13:52,840
+constrained or successfully constrained
+
+160
+00:13:56,020 --> 00:14:01,400
+الان ايش أنواع الحركة المقيدة الحركة المقيدة بتيجي
+
+161
+00:14:01,400 --> 00:14:04,860
+على التلت أنواع في completely constrained motion
+
+162
+00:14:04,860 --> 00:14:09,860
+يعني حركة مقيدة بشكل كامل incompletely constrained
+
+163
+00:14:09,860 --> 00:14:15,880
+motion حركة غير .. حركة مقيدة بشكل غير ك
+
+164
+00:14:15,880 --> 00:14:20,290
+incomplete يعنيمافيش تقييد كامل النوع التالت
+
+165
+00:14:20,290 --> 00:14:23,630
+successfully constrained motion حركة مقيدة بشكل
+
+166
+00:14:23,630 --> 00:14:28,290
+ناجح يعني تلت أنواع من الحركة المقيدة completely
+
+167
+00:14:28,290 --> 00:14:30,790
+constrained motion and completely constrained
+
+168
+00:14:30,790 --> 00:14:35,730
+motion و successfully constrained motion نيجي
+
+169
+00:14:35,730 --> 00:14:39,470
+للنوع الأول من الحركة المقيدة ال completely
+
+170
+00:14:39,470 --> 00:14:45,850
+constrained motionبتكون الحركة بين ال .. ال .. ال
+
+171
+00:14:45,850 --> 00:14:48,230
+.. a pair is limited to a definite direction
+
+172
+00:14:48,230 --> 00:14:51,030
+irrespective of the direction of the applied force
+
+173
+00:14:51,030 --> 00:14:54,650
+بتكون الحركة في اتجاه واحد بغض النظر عن اتجاه
+
+174
+00:14:54,650 --> 00:15:00,210
+القوة يعني انا عندي هنا block عشكل متوازن و مستلات
+
+175
+00:15:00,210 --> 00:15:05,910
+و فيه ثقوب و فيه shaft مقطع و مربع الان ال shaft
+
+176
+00:15:05,910 --> 00:15:10,230
+لو اثرت باتجاه ال force بهذا الاتجاه او بهذا
+
+177
+00:15:10,230 --> 00:15:14,640
+الاتجاهالـ shaft هيتحرك only in this direction
+
+178
+00:15:14,640 --> 00:15:18,340
+مسموح تتحرك بهذا الاتجاه، معناته هذه الحركة حركة
+
+179
+00:15:18,340 --> 00:15:25,500
+مقيدة بشكل كامل نقعد حالة تانية عندي hub وعندي
+
+180
+00:15:25,500 --> 00:15:30,400
+shaft وعندي hand collar و hand collar ال shaft
+
+181
+00:15:30,400 --> 00:15:37,030
+مسموح له يدور مسموح له يدورلكن ممنوع ان يتحرك بهذا
+
+182
+00:15:37,030 --> 00:15:41,170
+الاتجاه ممنوع ان يتحرك بهذا الاتجاه معناته الحركة
+
+183
+00:15:41,170 --> 00:15:45,330
+مسموحة في اتجاه واحد اللي هو الدوران في الحالة هذه
+
+184
+00:15:45,330 --> 00:15:53,950
+ال motion is completely constrained في
+
+185
+00:15:53,950 --> 00:15:56,510
+النوع التاني اللي هو in completely constrained
+
+186
+00:15:56,510 --> 00:16:03,660
+motionالـ motion between the pair can take place
+
+187
+00:16:03,660 --> 00:16:05,980
+in more than one direction الحركة ممكن تكون في
+
+188
+00:16:05,980 --> 00:16:11,740
+أكتر من اتجاه يعني أنا عندي هنا مبين عنديHub فيها
+
+189
+00:16:11,740 --> 00:16:15,140
+ثقب وفيه shaft ال shaft ممكن يتحرك باتجاه ال axle
+
+190
+00:16:15,140 --> 00:16:19,660
+direction او ممكن يدور معناته ممكن يتحرك او باتجاه
+
+191
+00:16:19,660 --> 00:16:25,580
+الدوران او باتجاه ال axle معناته we have motion in
+
+192
+00:16:25,580 --> 00:16:28,780
+more than one direction علشان هيك بحكي هذه الحركة
+
+193
+00:16:28,780 --> 00:16:30,620
+is incompletely constrained
+
+194
+00:16:37,280 --> 00:16:41,580
+النوع التالت من الحركة المقيدة هي successfully
+
+195
+00:16:41,580 --> 00:16:46,240
+constrained motion ال motion between the elements
+
+196
+00:16:46,240 --> 00:16:51,900
+forming a pair is such that the constrained motion
+
+197
+00:16:51,900 --> 00:16:56,500
+is not completed by itself but by some other means
+
+198
+00:16:56,500 --> 00:17:02,500
+في الحركة المقيدة بشكل ناجح ال motion بين العناصر
+
+199
+00:17:02,500 --> 00:17:09,740
+المكونة لل pair لم تقيدمن تلقاء ذاتها وانما تم
+
+200
+00:17:09,740 --> 00:17:16,800
+تقييدها باسم أو بوسائل او بوسائل اخرى نشوف مثلا
+
+201
+00:17:16,800 --> 00:17:26,160
+عندي هنا shaft عندي قطع فيها hole وفيه shaft وفي
+
+202
+00:17:26,160 --> 00:17:33,470
+عنده ممكن هذا يدور ممكن هذا يدورممكن يطلع لأعلى
+
+203
+00:17:33,470 --> 00:17:38,550
+لأن ممكن اقيد حركته بالاتجاه ال axle direction ان
+
+204
+00:17:38,550 --> 00:17:43,930
+احط load او احط زمبارك معناته باستخدام load خارجي
+
+205
+00:17:43,930 --> 00:17:49,990
+زي وزن او spring force مانعت الحركة باتجاه ال axle
+
+206
+00:17:49,990 --> 00:17:53,830
+direction لكن still ال shaft ممكن ممكن rotate
+
+207
+00:17:53,830 --> 00:17:58,390
+معناته I succeed in constraining this motion by
+
+208
+00:17:58,390 --> 00:17:59,270
+some other means
+
+209
+00:18:07,850 --> 00:18:14,610
+طيب، الآن هنتطلع على تصنيف الـkinematic pair
+
+210
+00:18:19,960 --> 00:18:25,160
+الان يعني ممكن اصنف الـ kinematic pairs بتلت طرق
+
+211
+00:18:25,160 --> 00:18:30,180
+مختلفة ممكن اصنف طبقا لنوع الحركة between the
+
+212
+00:18:30,180 --> 00:18:33,220
+elements forming the pair يعني according to type
+
+213
+00:18:33,220 --> 00:18:35,580
+of relative motion between the elements forming
+
+214
+00:18:35,580 --> 00:18:44,440
+the pair او طبقا ل .. طبقا لنوعالcontact between
+
+215
+00:18:44,440 --> 00:18:51,140
+the elements forming the pair أو طبقا لنوع الإغلاق
+
+216
+00:18:51,140 --> 00:18:56,480
+between the elements forming the pair يعني عندي
+
+217
+00:18:56,480 --> 00:19:02,300
+تلت طرق تلت طرق ممكن أصنف فيها ال kinematic pairs
+
+218
+00:19:02,300 --> 00:19:06,800
+ممكن أصنف طبقا لنوع الحركة النسبية between the
+
+219
+00:19:06,800 --> 00:19:11,460
+elements forming the pairأو ممكن أصنف طبقا لنوع ال
+
+220
+00:19:11,460 --> 00:19:14,520
+contact هل هو surface contact ولا line contact ولا
+
+221
+00:19:14,520 --> 00:19:17,080
+point contact according to type of contact between
+
+222
+00:19:17,080 --> 00:19:19,720
+the elements forming the pair أو رقم تلاتة
+
+223
+00:19:19,720 --> 00:19:26,910
+according to the type of enclosureالان هنيجي للنوع
+
+224
+00:19:26,910 --> 00:19:30,370
+الأول اللي هو التصنيف تبقى لنوع الحركة النسبية
+
+225
+00:19:30,370 --> 00:19:32,490
+between the elements forming the pair ممكن يكون
+
+226
+00:19:32,490 --> 00:19:35,750
+عندي sliding pair او turning pair او rolling pair
+
+227
+00:19:35,750 --> 00:19:38,510
+او screw pair خليني اكتبهم عشان ناخدهم واحد واحد
+
+228
+00:19:38,510 --> 00:19:43,470
+عندي ال sliding pair
+
+229
+00:19:43,470 --> 00:19:51,050
+عند turning pair
+
+230
+00:19:51,050 --> 00:19:52,490
+عند rolling
+
+231
+00:19:55,660 --> 00:20:07,200
+Pair وعند screw Pair وعند spherical Pair
+
+232
+00:20:09,620 --> 00:20:14,040
+معناته النوع التصنيف ال .. التصنيف ال .. ال
+
+233
+00:20:14,040 --> 00:20:18,580
+canematic pairs هيكون طبقا لنوع الحركة النسبية
+
+234
+00:20:18,580 --> 00:20:22,320
+between the elements في ال sliding pair بعض الكتب
+
+235
+00:20:22,320 --> 00:20:25,500
+أو بعض ال software بيسموه prismatic pair sliding
+
+236
+00:20:25,500 --> 00:20:32,420
+pair او prismatic pair ال sliding pair one element
+
+237
+00:20:33,780 --> 00:20:38,300
+of the pair can slide relative to the other
+
+238
+00:20:38,300 --> 00:20:41,920
+element of the pair one element of the pair can
+
+239
+00:20:41,920 --> 00:20:44,580
+only slide relative to the other يعني عندي مثلا
+
+240
+00:20:44,580 --> 00:20:50,880
+عندي هين عندي
+
+241
+00:20:50,880 --> 00:20:55,760
+هين ال block أربعة و ال link واحد أربعة ممكن ينزلق
+
+242
+00:20:55,760 --> 00:21:00,600
+بالنسبة لواحد نوع الحركة بين أربعة و واحد حركة إيش
+
+243
+00:21:00,600 --> 00:21:06,170
+الزلاقية أو حركة انتقاليةطبعا هذه completely
+
+244
+00:21:06,170 --> 00:21:11,370
+constrained motion the one element of the pair
+
+245
+00:21:11,370 --> 00:21:16,570
+مقيد انه يتحرك باتجاه واحد مقيد يتحرك باتجاه واحد
+
+246
+00:21:16,570 --> 00:21:19,470
+أمثلة ال piston and cylinder هاي ال piston and
+
+247
+00:21:19,470 --> 00:21:24,330
+cylinder of an engine الأغراب
+
+248
+00:21:24,330 --> 00:21:32,630
+بتاع المخرطة tailstock on a lathe bed النوع
+
+249
+00:21:32,630 --> 00:21:34,430
+التاني اللي هو turning pair
+
+250
+00:21:37,450 --> 00:21:41,170
+في بعض الكتب أو بعض ال software يسمى revolute pair
+
+251
+00:21:41,170 --> 00:21:45,770
+turning pair او revolute pair في ال turning pair
+
+252
+00:21:45,770 --> 00:21:52,350
+one element of the pair can only revolve about a
+
+253
+00:21:52,350 --> 00:21:56,430
+fixed axis of the other element of the pair يعني
+
+254
+00:21:56,430 --> 00:22:00,530
+ال pair بيكون عبارة عن two links in contact with
+
+255
+00:22:00,530 --> 00:22:04,450
+each otherفي ال turning pair واحد من ال elements
+
+256
+00:22:04,450 --> 00:22:07,310
+هذا ممكن يدور بالنسبة لل element التاني واحد من ال
+
+257
+00:22:07,310 --> 00:22:11,750
+elements ممكن يدور بالنسبة لل element التاني زي
+
+258
+00:22:11,750 --> 00:22:14,490
+عندي في ال slotted crank mechanism ال link two
+
+259
+00:22:14,490 --> 00:22:18,890
+ممكن يدور بالنسبة لواحد يعني هنا و هنا عندي
+
+260
+00:22:18,890 --> 00:22:23,110
+turning pair
+
+261
+00:22:23,110 --> 00:22:31,210
+عندي هنا ممكن يدور يعني عندي turning pair
+
+262
+00:22:32,510 --> 00:22:48,230
+بين تلاتة وأربعة عندي هنا برضه turning pear النوع
+
+263
+00:22:48,230 --> 00:22:55,050
+التالت rolling pear أو زوج تدحرجي زوج تدحرجي يعني
+
+264
+00:22:55,050 --> 00:23:04,310
+عندي هنا surface وعندي دولاب هذا can rollهيسميها
+
+265
+00:23:04,310 --> 00:23:09,250
+rolling pear one element of the pear rolls with
+
+266
+00:23:09,250 --> 00:23:14,790
+respect to the other element of the pear زي ال
+
+267
+00:23:14,790 --> 00:23:19,510
+ball and roller bearings في حالة ال bearings في
+
+268
+00:23:19,510 --> 00:23:23,610
+عندى كورات بتتدحرج حوالين ال inner race او ال
+
+269
+00:23:23,610 --> 00:23:28,850
+outer race of the bearing في
+
+270
+00:23:28,850 --> 00:23:29,950
+عندى ال screw pear
+
+271
+00:23:32,840 --> 00:23:42,380
+one element can rotate and advance with respect to
+
+272
+00:23:42,380 --> 00:23:45,080
+the other element of the pair يعني زي حالة الصمولة
+
+273
+00:23:45,080 --> 00:23:49,220
+و البرغي و لو مسكت الصمولة و البرغي ثابت و بديت
+
+274
+00:23:49,220 --> 00:23:54,220
+ألف الصمولة ثم بتبدأ تلف و تمشي يعني while turning
+
+275
+00:23:54,220 --> 00:23:59,220
+it advances بتتقدم إلى الأمام يعني بتلف الصمولة و
+
+276
+00:23:59,220 --> 00:24:07,270
+هي بتلف بتكون تمشيالحاجة ساميه screw pair في
+
+277
+00:24:07,270 --> 00:24:13,750
+عندى spherical pair اللي هي زوج كروي one element
+
+278
+00:24:13,750 --> 00:24:15,950
+of the spherical one element of the spherical
+
+279
+00:24:15,950 --> 00:24:18,730
+shape is swivels about the other fixed element في
+
+280
+00:24:18,730 --> 00:24:22,870
+عندى fixed element و شكله spherical كروي
+
+281
+00:24:25,390 --> 00:24:31,170
+شايفين كيف؟ ال motion في عنده 3D rotation about a
+
+282
+00:24:31,170 --> 00:24:36,490
+fixed point 3D rotation about a fixed point بنشوفه
+
+283
+00:24:36,490 --> 00:24:39,810
+في المراية بتاعة السيارة أو في بعض القاعدة للأقلام
+
+284
+00:24:39,810 --> 00:24:42,110
+بتكون فيها spherical pair
+
+285
+00:24:46,470 --> 00:24:49,890
+معناته تصنيف الأول احنا حكينا ممكن تصنف الـ
+
+286
+00:24:49,890 --> 00:24:52,430
+kinematic pairs according to type of relative
+
+287
+00:24:52,430 --> 00:24:54,750
+motion between elements يعني ممكن اصنف ال .. ال
+
+288
+00:24:54,750 --> 00:24:58,350
+kinematic pairs طبقا لنوع الحركة بين ال elements
+
+289
+00:24:58,350 --> 00:25:01,370
+المكونة لل pair و احنا حكينا في عندي ال sliding
+
+290
+00:25:01,370 --> 00:25:04,730
+pair، عندي turning pair، عندي rolling pair، عندي
+
+291
+00:25:04,730 --> 00:25:08,470
+screw pair و spherical pair التصنيف التاني لل
+
+292
+00:25:08,470 --> 00:25:12,130
+kinematic pair طبقا لنوع التلامس بين ال elements
+
+293
+00:25:12,130 --> 00:25:16,010
+المكونة لل pair في عندي lower pair و عندي higher
+
+294
+00:25:16,010 --> 00:25:19,510
+pairفى ال lower pair the two elements of the pair
+
+295
+00:25:19,510 --> 00:25:24,190
+have surface contact بيكون فى عندى تلامس سطحى بين
+
+296
+00:25:24,190 --> 00:25:29,290
+العناصر المكونة لل pair يعني فى حالة ال sliding
+
+297
+00:25:29,290 --> 00:25:35,290
+pair هاي عندى هذا slide بهذا الاتجاه التلامس بين
+
+298
+00:25:35,290 --> 00:25:41,770
+المساحة و اللوح عبارة عن surface فى حالة ال
+
+299
+00:25:41,770 --> 00:25:47,710
+revolute pairالتلامس على المحيط عبارة عن سطح
+
+300
+00:25:47,710 --> 00:25:53,650
+أسطواني it is a surface لكنه it is not a flat
+
+301
+00:25:53,650 --> 00:25:59,290
+surface 3D surface فهذا يسمي lower pair بيكون
+
+302
+00:25:59,290 --> 00:26:03,010
+التلامس بين ال elements forming the pair is along
+
+303
+00:26:03,010 --> 00:26:07,410
+a surface في ال lower pair
+
+304
+00:26:10,370 --> 00:26:13,770
+surface of one element slides over the surface of
+
+305
+00:26:13,770 --> 00:26:18,590
+the other يعني في حالة sliding pair ال surface تاع
+
+306
+00:26:18,590 --> 00:26:22,130
+المسافة slide على ال surface تاع اللوح في حالة
+
+307
+00:26:22,130 --> 00:26:24,970
+revolute pair او tearing pair ال cylindrical
+
+308
+00:26:24,970 --> 00:26:34,480
+surface to this link it turns او slidesع المحيط في
+
+309
+00:26:34,480 --> 00:26:38,040
+حالة screw pair عند صمولة و برغة الصمولة ال
+
+310
+00:26:38,040 --> 00:26:40,940
+surface بتاعها helical surface it slides with
+
+311
+00:26:40,940 --> 00:26:42,760
+respect to the screw
+
+312
+00:26:47,600 --> 00:26:51,360
+في عندي احنا حكينا التصنف في الـ kinematic pairs
+
+313
+00:26:51,360 --> 00:26:55,940
+طبقا للنوع التلامس احنا حكينا ال lower pair في
+
+314
+00:26:55,940 --> 00:26:58,700
+عندي higher pair فال higher pair بيكون ال contact
+
+315
+00:26:58,700 --> 00:27:03,440
+بين ال elements forming the pair along a line or
+
+316
+00:27:03,440 --> 00:27:07,480
+point contact يعني بيكون التلامس يا خط او point
+
+317
+00:27:07,480 --> 00:27:12,000
+contact مثلا في حتة ال rolling pear لو عندك
+
+318
+00:27:12,000 --> 00:27:15,780
+استوانة هذه سيلندر
+
+319
+00:27:20,140 --> 00:27:23,180
+النقطة اللي أنا شايفها in the view هتكون خط هنا
+
+320
+00:27:23,180 --> 00:27:30,760
+لدي هنا line contact في الحالة هذي بسمي higher
+
+321
+00:27:30,760 --> 00:27:37,120
+pair في حالة كان عندي rolling لكرة هتكون التلامس
+
+322
+00:27:37,120 --> 00:27:45,840
+هنا point هنا دي sphere فعندي هنا تلامس point
+
+323
+00:27:45,840 --> 00:27:55,580
+contactمعناته ها دي higher pair ال
+
+324
+00:27:55,580 --> 00:28:00,920
+motion between the two is partly turning في دوران
+
+325
+00:28:00,920 --> 00:28:08,840
+و partly sliding أمثلة على ال higher pairs إذا
+
+326
+00:28:08,840 --> 00:28:15,460
+عندى two friction disks هاي عندى disk و عندى disk
+
+327
+00:28:20,880 --> 00:28:25,600
+هذا الاتجاه وهذا الاتجاه عندي هنا line contact في
+
+328
+00:28:25,600 --> 00:28:46,540
+حالة friction disk عندي ترسين truth عندي
+
+329
+00:28:46,540 --> 00:28:48,120
+الترس الطرف التاني
+
+330
+00:28:56,500 --> 00:29:06,560
+هذا عندي line contact معناته هذا higher pair عندي
+
+331
+00:29:06,560 --> 00:29:13,180
+cam and follower عندي هاي cam و
+
+332
+00:29:13,180 --> 00:29:14,740
+عندي follower
+
+333
+00:29:18,630 --> 00:29:21,710
+and a line contact يعني في أمثلة كتير على higher
+
+334
+00:29:21,710 --> 00:29:25,470
+pair معناه التصنيف التاني ممكن نصنف الكلانتك pair
+
+335
+00:29:25,470 --> 00:29:29,910
+طبقا لنوع التلامس ممكن تكون تلامس على ال surface
+
+336
+00:29:29,910 --> 00:29:33,570
+في الحالة هتبسميه lower pair ممكن تكون تلامس over
+
+337
+00:29:33,570 --> 00:29:36,850
+a line or over a point في الحالة هتبسميه higher
+
+338
+00:29:36,850 --> 00:29:41,950
+pair النوع التالت من التصنيف according to type of
+
+339
+00:29:41,950 --> 00:29:47,430
+closure هنشوف فيه نوعين في self-closed pair
+
+340
+00:29:51,950 --> 00:29:56,010
+و فاندي force closed pair فى self-closed pair the
+
+341
+00:29:56,010 --> 00:30:00,850
+two elements of the pair are connected together
+
+342
+00:30:00,850 --> 00:30:05,470
+mechanically in such a way that only the required
+
+343
+00:30:05,470 --> 00:30:10,630
+kind of relative motion occurs يعني فى حالة ال
+
+344
+00:30:10,630 --> 00:30:14,930
+slotted crank mechanism موصولى من خلال joint فاندي
+
+345
+00:30:14,930 --> 00:30:19,470
+hand jointالان نوع الحركة بين اتنين و واحد بيتغيرش
+
+346
+00:30:19,470 --> 00:30:22,950
+بين تلاتة و اتنين بيتغيرش اللي رابطهم اللي رابطهم
+
+347
+00:30:22,950 --> 00:30:29,870
+مع بعض ال joints المفاصل هذه self-closed pair self
+
+348
+00:30:29,870 --> 00:30:35,410
+-closed pair مفاصل جسم الإنسان موصل في بعض بطريقة
+
+349
+00:30:35,410 --> 00:30:39,110
+انه احافظ على relative motion نفسها يعني انا مثلا
+
+350
+00:30:39,110 --> 00:30:44,050
+بحرك ايدي هنا بحرك
+
+351
+00:30:44,050 --> 00:30:50,790
+ايدي هنا لو ثبتت هذههذه حركة لأن الحركة نسبة بين
+
+352
+00:30:50,790 --> 00:30:54,230
+هذه وهذه لا تتغير ولكن لو ثبتت هيك سأتحرك مثل ذلك
+
+353
+00:30:54,230 --> 00:30:58,090
+نفس الشيء بالنسبة لبعض نفس الشيء للكوع لو ثبتت هذه
+
+354
+00:30:58,090 --> 00:31:01,790
+او
+
+355
+00:31:01,790 --> 00:31:07,830
+لو ثبتت هذه طبعا صعب ارفع حالي فهذه سيلفي closed
+
+356
+00:31:07,830 --> 00:31:14,090
+pairفي course advanced ممكن تكون elective زي
+
+357
+00:31:14,090 --> 00:31:18,810
+مستقبلا تاخدوه في ال .. يعني سواء في ال .. في
+
+358
+00:31:18,810 --> 00:31:22,890
+الدراسات العليا ممكن تسمى اللي هو human body
+
+359
+00:31:22,890 --> 00:31:26,070
+dynamics، ديناميكا جسم الإنسان، مهم كتير اللي
+
+360
+00:31:26,070 --> 00:31:31,810
+هيشتغل فيه في ال .. في العلوم المتعلقة في دراسة
+
+361
+00:31:31,810 --> 00:31:34,710
+ديناميكية الحركة جسم الإنسان
+
+362
+00:31:37,580 --> 00:31:41,340
+ال lower pairs are self-closed pair يعني lower
+
+363
+00:31:41,340 --> 00:31:48,460
+pair زي عندي ال turning pair is a self-closed pair
+
+364
+00:31:48,460 --> 00:31:54,140
+ال sliding pair is a self-closed pair ال screw
+
+365
+00:31:54,140 --> 00:32:01,240
+pair is a self-closed pair النوع
+
+366
+00:32:01,240 --> 00:32:04,300
+التاني ال forced forced closed pair
+
+367
+00:32:07,310 --> 00:32:13,150
+الـ two elements المكونين للـ pair are not
+
+368
+00:32:13,150 --> 00:32:17,010
+connected mechanically but are kept in contact by
+
+369
+00:32:17,010 --> 00:32:19,650
+the action of external forces يعني على سبيل المثال
+
+370
+00:32:19,650 --> 00:32:25,390
+عندي .. عندي cam هاي
+
+371
+00:32:25,390 --> 00:32:28,030
+مركز ده ورا عنها وعندي hand follower
+
+372
+00:32:33,250 --> 00:32:37,250
+عشان اخلي ال follower هذه بتدور هذا نضور هذا بطلع
+
+373
+00:32:37,250 --> 00:32:44,070
+و بنزل زي ال cam في السيارة او ال cam تعمل مكان
+
+374
+00:32:44,070 --> 00:32:49,990
+لخياطة for this follower to be in contact with
+
+375
+00:32:49,990 --> 00:32:53,690
+this cam هذا cam هذا follower
+
+376
+00:32:56,940 --> 00:32:59,100
+لازم يكون فيه some external force ال external
+
+377
+00:32:59,100 --> 00:33:03,400
+force ممكن تكون وزن الفلور by gravity أو by a
+
+378
+00:33:03,400 --> 00:33:06,860
+spring force يكون عند زمبرك دائما يكون ضغط الفلور
+
+379
+00:33:06,860 --> 00:33:14,260
+مع الكام عشان دائما يكون الفلورملامس للكام if we
+
+380
+00:33:14,260 --> 00:33:18,040
+lose contact في الحالة اذا فقدنا التلامس هنفقد
+
+381
+00:33:18,040 --> 00:33:21,380
+الحركة بين ال two elements forming the pair معناته
+
+382
+00:33:21,380 --> 00:33:24,480
+التصنيف التالت according to type of closure في عند
+
+383
+00:33:24,480 --> 00:33:28,460
+self-closed pair و عند force-closed pair ان راجع
+
+384
+00:33:29,370 --> 00:33:32,310
+تصنيفات ال .. ال .. ال .. ال cannematic pairs ممكن
+
+385
+00:33:32,310 --> 00:33:36,650
+تكون طبقا لنوع الحركة النسبية بين ال two elements
+
+386
+00:33:36,650 --> 00:33:39,890
+forming the pair أو طبقا لنوع ال contact between
+
+387
+00:33:39,890 --> 00:33:42,350
+the elements forming the pair أو طبقا لنوع ال
+
+388
+00:33:42,350 --> 00:33:47,740
+closure of the two pairالتصنيف الأول طبقا لنوع
+
+389
+00:33:47,740 --> 00:33:49,940
+الحركة between the two elements forming the pair
+
+390
+00:33:49,940 --> 00:33:52,860
+بيكون عندى sliding pair, turning pair, rolling
+
+391
+00:33:52,860 --> 00:33:58,080
+pair, screw pair, spherical pair التصنيف التاني
+
+392
+00:33:58,080 --> 00:34:00,840
+according to type of contact بيكون عندى ال lower
+
+393
+00:34:00,840 --> 00:34:03,260
+pair أو higher pair في حالة ال lower pair بيكون
+
+394
+00:34:03,260 --> 00:34:06,540
+عندى ال contact على surface contactبحث ال higher
+
+395
+00:34:06,540 --> 00:34:10,600
+pair بيكون عند ال contact line or point contact
+
+396
+00:34:10,600 --> 00:34:14,000
+التصنيف التالت according to type of closure بيكون
+
+397
+00:34:14,000 --> 00:34:20,300
+يعني self-closed pair أو force closed pair طيب
+
+398
+00:34:32,300 --> 00:34:35,780
+نحكي هنا kinematic pair في مصطلح دي اسمه kinematic
+
+399
+00:34:35,780 --> 00:34:41,080
+chain ال kinematic pair عبارة عن combination of
+
+400
+00:34:41,080 --> 00:34:46,020
+kinematic pairs يعنيالإصلاح ال economic mechanism
+
+401
+00:34:46,020 --> 00:34:49,920
+مكوّن من ال pair واحد و اتنين وال pair اتنين و
+
+402
+00:34:49,920 --> 00:34:55,120
+تلاتة وال pair تلاتة و أربعة وال pair أربعة و واحد
+
+403
+00:34:55,120 --> 00:34:59,240
+المجموع الأربعة pairs هذه اللي هي واحد مع اتنين و
+
+404
+00:34:59,240 --> 00:35:02,120
+اتنين مع تلاتة و تلاتة مع أربعة و أربعة مع واحد
+
+405
+00:35:02,120 --> 00:35:04,560
+بسميها kinematic chain
+
+406
+00:35:09,470 --> 00:35:12,630
+في الـ kinematic chain بتكون الحركة بين ال
+
+407
+00:35:12,630 --> 00:35:15,250
+elements between the links or elements forming the
+
+408
+00:35:15,250 --> 00:35:19,930
+chain completely or successfully constrained بيكون
+
+409
+00:35:19,930 --> 00:35:29,690
+الحركة مقيدة بشكل كامل أو بشكل ناجح طيب
+
+410
+00:35:38,080 --> 00:36:02,000
+خلّيني أرسم هذه بشكل أكبر هذه
+
+411
+00:36:02,000 --> 00:36:06,520
+الـ Slider crank mechanism لينك واحد لينك اتنين
+
+412
+00:36:07,340 --> 00:36:16,400
+لينك تلاتة لينك أربع وهذا لينك واحد if
+
+413
+00:36:16,400 --> 00:36:24,660
+each link طبعا اتطلع عند كل link هنا بتكون two
+
+414
+00:36:24,660 --> 00:36:32,200
+pairs يعني عندي ال link اتنين تعمل pair مع واحدو
+
+415
+00:36:32,200 --> 00:36:37,320
+pair مع تلاتة يعني اتنين مرة عاملة pair مع واحد و
+
+416
+00:36:37,320 --> 00:36:43,260
+pair مع تلاتة و تلاتة عاملة pair مع اتنين و pair
+
+417
+00:36:43,260 --> 00:36:48,380
+مع اربع و اربع عاملة pair مع تلاتة و عاملة pair مع
+
+418
+00:36:48,380 --> 00:36:53,440
+واحد يعني each link form بتشك بتكون two pairs with
+
+419
+00:36:53,440 --> 00:36:54,580
+two adjacent links
+
+420
+00:36:57,640 --> 00:37:00,860
+الان في علاقة بين number of pairs forming a
+
+421
+00:37:00,860 --> 00:37:03,100
+kinetic chain and number of links انا عند اكم link
+
+422
+00:37:03,100 --> 00:37:09,740
+هين عند number of links هين عندي L بيساوي أربعة و
+
+423
+00:37:09,740 --> 00:37:15,400
+number of pairs عندي هين turning pair هاي واحد و
+
+424
+00:37:15,400 --> 00:37:19,180
+turning pair هين اي اتنين و turning pair تلاتة و
+
+425
+00:37:19,180 --> 00:37:24,570
+sliding pair أربعة عندي أربعة pairsفي علاقة بين ال
+
+426
+00:37:24,570 --> 00:37:28,950
+number of links و ال number of pairs ال L بيساوي
+
+427
+00:37:28,950 --> 00:37:34,370
+اتنين P ناقص اربعة يعني عندي هنا ال L لو حكيت
+
+428
+00:37:34,370 --> 00:37:40,600
+اربعةهنا عندي اتنين في اربعة ناقص اربعة يعني هاتلع
+
+429
+00:37:40,600 --> 00:37:45,420
+عندي هين اربعة و هين اربعة معناته ايش المعادلة
+
+430
+00:37:45,420 --> 00:37:51,120
+صحيحة معناته ال number of lengths بيساوي اتنين في
+
+431
+00:37:51,120 --> 00:37:53,100
+number of pairs ناقص اربعة
+
+432
+00:38:04,060 --> 00:38:07,380
+في علاقة بين number of links and number of joints
+
+433
+00:38:07,380 --> 00:38:12,000
+عندي
+
+434
+00:38:12,000 --> 00:38:17,020
+هنا revolute joint وعندي هنا revolute أو turning
+
+435
+00:38:17,020 --> 00:38:21,700
+joint وعندي هنا revolute أو turning joint وعندي
+
+436
+00:38:21,700 --> 00:38:24,980
+هنا بين أربع واحد sliding joints يعني عندي number
+
+437
+00:38:24,980 --> 00:38:31,720
+of joints J بيستوي عندي أربعة jointsالاربع joints
+
+438
+00:38:31,720 --> 00:38:38,460
+عندى التلاتة turning joints
+
+439
+00:38:38,460 --> 00:38:41,540
+واحد
+
+440
+00:38:41,540 --> 00:38:47,120
+sliding joints
+
+441
+00:38:47,120 --> 00:38:48,480
+او prismatic joint
+
+442
+00:38:58,740 --> 00:39:02,840
+طبعا المعادلة الجاية هتكون تتطبق في حالة ال lower
+
+443
+00:39:02,840 --> 00:39:09,420
+pair يعني J في علاقة بين number of joints وعدد
+
+444
+00:39:09,420 --> 00:39:16,100
+اللينكات 1.5 في L ناقص 2 هذا في حالة lower pair
+
+445
+00:39:16,100 --> 00:39:21,040
+أنا
+
+446
+00:39:21,040 --> 00:39:25,760
+عندي
+
+447
+00:39:25,760 --> 00:39:27,220
+ال J أربعة
+
+448
+00:39:30,360 --> 00:39:33,260
+لاحظوا عند التلاتي ال turning ال turning تعتبر
+
+449
+00:39:33,260 --> 00:39:39,020
+lower pair و ال sliding تعتبر lower pair أربعة عند
+
+450
+00:39:39,020 --> 00:39:44,760
+هنا واحد و نص عدد ال link أربعة نقص اتنين يعني
+
+451
+00:39:44,760 --> 00:39:47,820
+واحد و نص في أربعة ستة نقص اتنين بالسوء أربعة يعني
+
+452
+00:39:47,820 --> 00:39:58,000
+أربعة بالسوء أربعة منعت المعادلة هذه إيش؟ صحيحة زي
+
+453
+00:39:58,000 --> 00:40:04,560
+ما حكيت aboveEquations اللي هي المعادلة هذه اللي
+
+454
+00:40:04,560 --> 00:40:11,480
+هي المعادلة اللي هي L بيستوى اتنين P ناقص اربعة و
+
+455
+00:40:11,480 --> 00:40:18,680
+J بيستوى واحد و نص L ناقص اتنين هدول ال two
+
+456
+00:40:18,680 --> 00:40:19,360
+equations
+
+457
+00:40:25,070 --> 00:40:28,550
+applicable only to kinematic chains in which lower
+
+458
+00:40:28,550 --> 00:40:32,630
+pairs are used هذه المعادلات تتطبق فقط في حالة ال
+
+459
+00:40:32,630 --> 00:40:38,130
+kinematic chains اللي ال pairs فيها lower pair ايش
+
+460
+00:40:38,130 --> 00:40:41,110
+يعني lower pair يعني ال contact is surface contact
+
+461
+00:40:41,110 --> 00:40:44,990
+يعني عندي هنا تلاتة turning pairs واضح ان عندي
+
+462
+00:40:44,990 --> 00:40:48,210
+surface surface cylindrical contact وعندي one
+
+463
+00:40:48,210 --> 00:40:51,970
+sliding pair عندي flat surface contact
+
+464
+00:40:57,740 --> 00:41:03,020
+هذه المعادلات ممكن نعدلها بحيث تكون قابلة
+
+465
+00:41:03,020 --> 00:41:08,940
+للاستخدام في حالة الـ kinematic chains اللي بيكون
+
+466
+00:41:08,940 --> 00:41:17,180
+تتضمن higher pairs طبعا each higher pair is
+
+467
+00:41:17,180 --> 00:41:21,060
+equivalent to two lower pairs plus a link
+
+468
+00:41:27,530 --> 00:41:43,570
+نشوف أمثلة على الـ Kinematic Chains عندي
+
+469
+00:41:43,570 --> 00:41:46,970
+هاي تلت لينكات
+
+470
+00:42:02,860 --> 00:42:13,680
+هي link واحد اتنين تلاتة عندي
+
+471
+00:42:13,680 --> 00:42:17,940
+ال number of links ال الحالة هذه عندي واحد اتنين
+
+472
+00:42:17,940 --> 00:42:23,100
+تلاتة تلاتة links ال number of pairs عندي turning
+
+473
+00:42:23,100 --> 00:42:26,510
+pair turning pair turning pair عندي تلاتة برضهو ال
+
+474
+00:42:26,510 --> 00:42:30,270
+number of joints عند رفوليوت جوانت رفوليوت جوانت
+
+475
+00:42:30,270 --> 00:42:34,830
+رفوليوت جوانت عند ايش تلاتة خلينا نشوف نطبق
+
+476
+00:42:34,830 --> 00:42:39,590
+المعادلة اللي قال عنده اللي قال عنده اللينكات
+
+477
+00:42:39,590 --> 00:42:45,970
+تلاتة على الطرف التاني عنده اتنين P اتنين في P
+
+478
+00:42:45,970 --> 00:42:52,890
+اللي هي تلاتة ناقص اربعة عندهين تلاتة اتنين في
+
+479
+00:42:52,890 --> 00:42:57,950
+تلاتة ستة ناقص اربعة اتنينلاحظ ال left hand side
+
+480
+00:42:57,950 --> 00:43:07,990
+أكبر من ال right hand side نجي المعادلة التانية ال
+
+481
+00:43:07,990 --> 00:43:16,110
+جي عنده تلاتة عند واحد و نص فيه تلاتة ناقص اتنين
+
+482
+00:43:16,110 --> 00:43:20,990
+واحد و نص تلاتة اكم اربع و نص ناقص اتنين اتنين و
+
+483
+00:43:20,990 --> 00:43:26,760
+نصهنا تلاتة واضح برضه left hand side أكبر من ال
+
+484
+00:43:26,760 --> 00:43:31,580
+right hand side هل
+
+485
+00:43:31,580 --> 00:43:34,880
+link واحد او link اي link من اللي كانت ممكن تتحرك
+
+486
+00:43:34,880 --> 00:43:38,060
+بالنسبة للتانية هل يعني واحد ممكن تتحرك للتانية او
+
+487
+00:43:38,060 --> 00:43:42,310
+واحد بالنسبة للتلاتةواضح ان فيش حركة معناه ان this
+
+488
+00:43:42,310 --> 00:43:46,350
+is not a kinematic chain this is a structure لأن
+
+489
+00:43:46,350 --> 00:43:50,850
+في عنده no relative motion is possible مش ممكن
+
+490
+00:43:50,850 --> 00:43:54,110
+اتنين تتحرك بالنسبة لواحد او تلاتة تتحرك بالنسبة
+
+491
+00:43:54,110 --> 00:43:57,330
+لواحد او تلاتة بالنسبة لاتنين no relative motion
+
+492
+00:43:57,330 --> 00:44:03,590
+between the elements forming the chain معناه ان it
+
+493
+00:44:03,590 --> 00:44:08,630
+is not a kinematic chain it is a structureلأنه
+
+494
+00:44:08,630 --> 00:44:14,070
+مافيش حركة بيقنق limits forming if possible طيب
+
+495
+00:44:14,070 --> 00:44:24,050
+مثال تاني ناخد
+
+496
+00:44:24,050 --> 00:44:32,110
+ال four bar linkage four bar four
+
+497
+00:44:32,110 --> 00:44:35,870
+bar linkage أي واحد
+
+498
+00:44:38,660 --> 00:44:45,420
+اتنين تلاتة اربعة عند عدد ال links الاربعة links
+
+499
+00:44:45,420 --> 00:44:52,000
+وعدد ال pairs تارينج pair تارينج pair تارينج pair
+
+500
+00:44:52,000 --> 00:44:58,200
+تارينج pair عند اربعة وعند اربعة joints طيب طبق
+
+501
+00:44:58,200 --> 00:45:03,580
+المعادلة الأولى ال عند اربعة سواء اتنين P اتنين P
+
+502
+00:45:06,230 --> 00:45:11,690
+تنين في أربعة ناقص أربعة يعني انا عندي هنا أربعة
+
+503
+00:45:11,690 --> 00:45:16,030
+هنا أربعة أربعة بتستوى أربعة ال left hand side
+
+504
+00:45:16,030 --> 00:45:19,590
+بتستوى ال right hand side فانت بتحققك المعادلة
+
+505
+00:45:19,590 --> 00:45:24,070
+المعادلة التانية عندي J بتستوى أربعة عندي هنا واحد
+
+506
+00:45:24,070 --> 00:45:30,780
+و نصفي اربعة ناقص اتنين اربعة هتساوي اربعة معناته
+
+507
+00:45:30,780 --> 00:45:36,500
+left hand side بيساوي ال right hand side معناته
+
+508
+00:45:36,500 --> 00:45:41,160
+العلاقتين تحققوا معناته this is a kinematic chain
+
+509
+00:45:41,160 --> 00:45:45,460
+with one degree of freedom this is a kinematic
+
+510
+00:45:45,460 --> 00:45:49,000
+chain with one degree of freedom بعد شوية هنحكي عن
+
+511
+00:45:49,000 --> 00:45:51,460
+ال degrees of freedom ايش ال definition بتاعها
+
+512
+00:45:51,460 --> 00:45:54,840
+وكيف بنحدد ال number of degrees of freedom
+
+513
+00:45:58,710 --> 00:46:00,770
+ناخد ميكانيزم تاني
+
+514
+00:46:25,180 --> 00:46:30,400
+عندها لينك واحد لينك اتنين لينك تلاتة لينك اربع
+
+515
+00:46:30,400 --> 00:46:37,240
+لينك خمسة يعني عندي لينك عدد لينكات خمسة عندي
+
+516
+00:46:37,240 --> 00:46:41,940
+turning pair turning pair turning pair turning
+
+517
+00:46:41,940 --> 00:46:45,840
+pair turning pair عندي يعني اكم pair عندي خمسة
+
+518
+00:46:45,840 --> 00:46:51,170
+تتخمسة pairsالكم جويت عندى؟ واحد، اتنين، تلاتة،
+
+519
+00:46:51,170 --> 00:46:55,910
+اربعة، خمسة و J بالساوية خمسة نشوف المعادلة هذه
+
+520
+00:46:55,910 --> 00:47:04,670
+عند ال L ال L عنده
+
+521
+00:47:04,670 --> 00:47:15,070
+خمسة اتنين بيه اتنين في ال pairs خمسة ناقص اربعة
+
+522
+00:47:15,070 --> 00:47:20,880
+عند هنا خمسةأتنين في خمسة بعشرة ناقص أربعة ستة
+
+523
+00:47:20,880 --> 00:47:29,200
+واضح ال left hand side أقل من ال right hand side
+
+524
+00:47:29,200 --> 00:47:35,420
+نجي ال معادلة التانية J J سواحد و نص ال ناقص اتنين
+
+525
+00:47:35,420 --> 00:47:40,820
+ال J عندي خمسة عندين واحد و نص في خمسة ناقص اتنين
+
+526
+00:47:40,820 --> 00:47:44,600
+يعني خمسة عندي واحد و نص في خمسة سبعة و نص ناقص
+
+527
+00:47:44,600 --> 00:47:50,590
+اتنين خمسة و نصعند ال left hand side أقل من ال
+
+528
+00:47:50,590 --> 00:47:57,110
+right hand side المعناته ال two equations are not
+
+529
+00:47:57,110 --> 00:48:01,310
+satisfied لم يتم تحقيق المعادلتين هدول المعناته it
+
+530
+00:48:01,310 --> 00:48:09,710
+is not a kinematic chain ليش ال chain is not
+
+531
+00:48:09,710 --> 00:48:13,670
+constrained ممكن يعني لو انا حركت اتنين واحدة منهم
+
+532
+00:48:13,670 --> 00:48:19,630
+حركت واحدةأحصل على أكثر من positions أو شكل ..
+
+533
+00:48:19,630 --> 00:48:28,950
+يعني لو حركت هذا بشكل هذا او
+
+534
+00:48:28,950 --> 00:48:35,170
+ممكن يكون في زهاج فعند أكتر من احتمال
+
+535
+00:48:55,980 --> 00:48:59,680
+النتائج غير متوقعة لأنه محتاج لـ other degree of
+
+536
+00:48:59,680 --> 00:49:00,000
+freedom
+
+537
+00:49:17,830 --> 00:49:23,710
+أنواع الوصلات أنواع
+
+538
+00:49:23,710 --> 00:49:28,010
+الوصلات في ال .. في ال .. في ال chains في عندي
+
+539
+00:49:28,010 --> 00:49:35,370
+binary joint يعني وصلة ثنائية في الوصلة الثنائية
+
+540
+00:49:35,370 --> 00:49:38,250
+two links are joined at the same connection يعني
+
+541
+00:49:38,250 --> 00:49:42,290
+نفس النقطة بكون واصل two elements او two links
+
+542
+00:49:45,370 --> 00:49:58,690
+لو نطلع ال four bar على ال four bar واحد
+
+543
+00:49:58,690 --> 00:50:06,280
+اتنين تلاتة اربعة هذه binary jointلأن هذه link و
+
+544
+00:50:06,280 --> 00:50:09,860
+link تنتين وهذه binary joint هي link و link تنتين
+
+545
+00:50:09,860 --> 00:50:12,580
+وهذه binary joint هي link و link تنتين و binary
+
+546
+00:50:12,580 --> 00:50:14,260
+joint هي link و link تنتين و binary joint تنتين و
+
+547
+00:50:14,260 --> 00:50:15,960
+binary joint تنتين و binary joint تنتين و binary
+
+548
+00:50:15,960 --> 00:50:22,320
+joint تنتين و binary joint تنتين
+
+549
+00:50:22,320 --> 00:50:25,120
+و binary joint تنتين و binary joint تنتين و binary
+
+550
+00:50:25,120 --> 00:50:25,120
+joint تنتين و binary joint تنتين و binary joint
+
+551
+00:50:25,120 --> 00:50:25,120
+تنتين و binary joint تنتين و binary joint تنتين و
+
+552
+00:50:25,120 --> 00:50:25,120
+binary joint تنتين و binary joint تنتين و binary
+
+553
+00:50:25,120 --> 00:50:25,120
+joint تنتين و binary joint تنتين و binary joint
+
+554
+00:50:25,120 --> 00:50:29,460
+تنتين و binary joint تنتين و binary joint تنتين و
+
+555
+00:50:29,460 --> 00:50:32,920
+binary joint تنتين و binary joint تنتين و binary
+
+556
+00:50:32,920 --> 00:50:34,420
+joint تنتين و binary joint تنتين و binary joint
+
+557
+00:50:34,420 --> 00:50:34,420
+تنتين و binary joint تنتين و binary joint تنتين و
+
+558
+00:50:34,420 --> 00:50:34,420
+binary joint تنتين و binary joint تنتين و binary
+
+559
+00:50:34,420 --> 00:50:34,420
+joint تنتين و binary joint تنتين و binary joint
+
+560
+00:50:35,830 --> 00:50:44,750
+ممكن اعدّلها السير j plus h على اتنين لسه واحد و
+
+561
+00:50:44,750 --> 00:50:50,910
+نص ال ناقص في الحالة هذه it could be used this
+
+562
+00:50:50,910 --> 00:50:53,250
+equation can be used for higher pairs
+
+563
+00:51:03,810 --> 00:51:06,590
+higher pairs يعني يكون ال contact على نقطة أو على
+
+564
+00:51:06,590 --> 00:51:12,090
+خط هذا ال H number of higher pairs
+
+565
+00:51:16,650 --> 00:51:21,910
+في عندنا ما يسمى الـ AW Klein equation هذه
+
+566
+00:51:21,910 --> 00:51:26,450
+المعادلة تستخدم لتحديد ما إذا كانت ال chain locked
+
+567
+00:51:26,450 --> 00:51:28,610
+chain يعني ال structure ليس relative motion
+
+568
+00:51:28,610 --> 00:51:32,070
+between the elements forming the chain او
+
+569
+00:51:32,070 --> 00:51:39,530
+kinematic chain او unconstrained chain فمن خلال
+
+570
+00:51:39,530 --> 00:51:42,830
+المعادلة هذه بنحدد whether the chain is a
+
+571
+00:51:42,830 --> 00:51:47,700
+structureor a kinematic chain or unconstrained
+
+572
+00:51:47,700 --> 00:51:57,900
+chain نتطلع
+
+573
+00:51:57,900 --> 00:52:00,040
+على القالية هذه
+
+574
+00:52:24,180 --> 00:52:30,560
+عندها link واحد اتنين تلاتة اربعة خمسة ستة عند
+
+575
+00:52:30,560 --> 00:52:34,960
+النمر ال links شو يستوي؟ ستة ال joints عنده واحد
+
+576
+00:52:34,960 --> 00:52:41,940
+اتنين تلاتة اربعة خمسة خمسة joints خمسة
+
+577
+00:52:41,940 --> 00:52:49,460
+jointsمعناته المفروض ال J ال pairs higher pair و
+
+578
+00:52:49,460 --> 00:52:53,520
+لا lower pair كلها lower pair معناته J زاد H على
+
+579
+00:52:53,520 --> 00:53:01,840
+اتنين بس واحد و نص ال ماقص اتنين ال J عندي خمسة و
+
+580
+00:53:01,840 --> 00:53:07,000
+ال H عندي سفر على اتنين الطرف التاني واحد و نص في
+
+581
+00:53:07,000 --> 00:53:09,980
+اللي عندي number of links ستة ماقص اتنين يعني
+
+582
+00:53:09,980 --> 00:53:13,260
+هتكون عندي خمسة واحد و نص في ستة
+
+583
+00:53:25,320 --> 00:53:34,140
+أه في شغلة هنا بنحكي عنها عندي ال j في عندي ال
+
+584
+00:53:34,140 --> 00:53:40,460
+binary zones كم
+
+585
+00:53:40,460 --> 00:53:46,900
+binary zones عندي؟ واحد اتنين تلاتة في وصلات
+
+586
+00:53:46,900 --> 00:53:50,300
+ثلاثية يعني بيكون عنده نفس النقطة موصول اكتر من
+
+587
+00:53:50,300 --> 00:53:56,190
+linkعندي turnery joints وصلات ثلاثية turnery
+
+588
+00:53:56,190 --> 00:54:00,050
+joints
+
+589
+00:54:00,050 --> 00:54:04,570
+عددها اتنين
+
+590
+00:54:04,570 --> 00:54:11,070
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+591
+00:54:11,070 --> 00:54:11,930
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+592
+00:54:11,930 --> 00:54:12,290
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+593
+00:54:12,290 --> 00:54:12,350
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+594
+00:54:12,350 --> 00:54:14,310
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+595
+00:54:14,310 --> 00:54:15,990
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+596
+00:54:15,990 --> 00:54:21,730
+اتنين اتنين اتن
+
+597
+00:54:23,660 --> 00:54:29,440
+زائد اتنين تيرناري كل واحدة ثلاثية تعادل اتنين
+
+598
+00:54:29,440 --> 00:54:38,440
+معناته هيكون الساوية ايش سبعة ال J نجي للمعادلة
+
+599
+00:54:38,440 --> 00:54:45,900
+عندي J زائد H على اتنين سواء واحد و نص الناقص
+
+600
+00:54:45,900 --> 00:54:51,660
+اتنين ال J عندي كله سبعة زائد صفر على الطرف تاني
+
+601
+00:54:51,660 --> 00:54:57,660
+واحد و نصفى ستة مانقس اتنين يعني هتكون عندهين سبعة
+
+602
+00:54:57,660 --> 00:55:04,340
+و سبعة ال left hand side بالساوية ال right hand
+
+603
+00:55:04,340 --> 00:55:10,320
+side معناه that this is a kinematic chain with one
+
+604
+00:55:10,320 --> 00:55:19,480
+degree of freedomالنوع التالت من ال joints اللي هي
+
+605
+00:55:19,480 --> 00:55:23,480
+ال quaternary joint اللي هي الوصلات الربعية في
+
+606
+00:55:23,480 --> 00:55:28,560
+الوصلات الربعية بيكون عند نقطة واحدة في أربع
+
+607
+00:55:28,560 --> 00:55:31,860
+لينكات عند نقطة واحدة بيكون في أربع لينكات متصين
+
+608
+00:55:31,860 --> 00:55:40,660
+مع بعض each كل وصلة ربعية تكافئ تلت وصلات ثنائية
+
+609
+00:55:40,660 --> 00:55:48,680
+كل وصلة ربعية تكافئ تلت وصلات ثنائيةيعني ممكن احكي
+
+610
+00:55:49,690 --> 00:55:57,250
+لو كانت الوصلة
+
+611
+00:55:57,250 --> 00:56:02,290
+ثلاثية يعني عندي تلاتة links عند نفس الوصلة هيكون
+
+612
+00:56:02,290 --> 00:56:07,890
+تعادل تلاتة ناقص واحد binary joints يعني التنين لو
+
+613
+00:56:07,890 --> 00:56:12,070
+كانت وصلة ربعية هيكون اربع ناقص واحد وصلة تنية
+
+614
+00:56:12,070 --> 00:56:15,910
+يعني اربع ناقص واحد تلاتة معناته كل وصلة ربعية
+
+615
+00:56:15,910 --> 00:56:23,820
+تعادل تلت وصلة تنيةنشوف ال structure هذا او ال
+
+616
+00:56:23,820 --> 00:56:27,360
+potential
+
+617
+00:56:27,360 --> 00:56:32,280
+kinematic chain بينها طبعا مجرد ما اتطلع عليها
+
+618
+00:56:32,280 --> 00:56:34,780
+هعرفها it is not a kinematic chain هعرفها انها
+
+619
+00:56:34,780 --> 00:56:39,080
+structure اوتوماتيك هعرفها structure عند high link
+
+620
+00:56:39,080 --> 00:56:43,260
+واحد high
+
+621
+00:56:43,260 --> 00:56:50,080
+link اتنين high link تلاتة high link اربعةهي link
+
+622
+00:56:50,080 --> 00:56:57,380
+خمسة هي link ستة هي link سبعة link تمانية link
+
+623
+00:56:57,380 --> 00:57:14,640
+تسعة link عشرة وهذه النقطة A B C D E F G
+
+624
+00:57:50,540 --> 00:58:07,660
+عندي joints عندى
+
+625
+00:58:07,660 --> 00:58:08,700
+عشر لينكات
+
+626
+00:58:15,080 --> 00:58:19,940
+عندي link واحد اتنين تلاتة اربعة خمسة ستة سبعة
+
+627
+00:58:19,940 --> 00:58:22,380
+تمانية تسعة عشرة links عندي ال links ال number of
+
+628
+00:58:22,380 --> 00:58:25,920
+links عندي
+
+629
+00:58:25,920 --> 00:58:29,960
+عشرة عندي
+
+630
+00:58:29,960 --> 00:58:34,380
+اللي هو الوصلات الربعية اللي هو ternary أو الوصلات
+
+631
+00:58:34,380 --> 00:58:42,120
+ال binary joints binary joints عندي
+
+632
+00:58:42,120 --> 00:58:43,100
+الternary joints
+
+633
+00:58:48,970 --> 00:58:55,810
+عنده ربعية giants
+
+634
+00:58:55,810 --> 00:59:08,410
+الثنائية
+
+635
+00:59:08,410 --> 00:59:14,190
+عنده واحدة
+
+636
+00:59:14,190 --> 00:59:20,090
+عندهواحدة عندي هذه ثنائية يعني ثنائية عندي إيش؟
+
+637
+00:59:20,090 --> 00:59:29,790
+واحد ثلاثية عندي عند a هذه واحدة وعند b تنتين
+
+638
+00:59:29,790 --> 00:59:36,010
+تنتين
+
+639
+00:59:36,010 --> 00:59:47,730
+وعند f تلاتة وعند eأربعة عند أربعة ten are joints
+
+640
+00:59:47,730 --> 00:59:51,550
+وعندي
+
+641
+00:59:51,550 --> 00:59:56,450
+وصلة ربعية عند C واحد اتنين تلاتة اربعة ووصلة
+
+642
+00:59:56,450 --> 01:00:04,090
+ربعية عند C ووصلة ربعية عند G تنتين معناته if
+
+643
+01:00:04,090 --> 01:00:11,470
+total number of joints ال J حيث هو في عندي وصلة
+
+644
+01:00:11,470 --> 01:00:17,060
+استنائية واحدةزاد اندي أربع واصلات ثلاثية كل واحدة
+
+645
+01:00:17,060 --> 01:00:22,460
+تعادل ايش تنتين binary زاد اندي تنتين واصلات ربعية
+
+646
+01:00:22,460 --> 01:00:25,920
+كل واحدة تعادل فيها تلاتة binary يعني هيكون اندي
+
+647
+01:00:25,920 --> 01:00:35,980
+واحد زائد تمانية زائد ستة يعني خمس تاش طيب
+
+648
+01:00:35,980 --> 01:00:44,920
+انشوف Jسواء واحد و نص الماقص اتنين الجي عندي خمس
+
+649
+01:00:44,920 --> 01:00:50,040
+تاش هذا عن جهة الشمال عندي عدل اللي كانت عشرة واحد
+
+650
+01:00:50,040 --> 01:00:56,630
+و نص في عشرة ماقص اتنين يعني هيكون ايش تلتاشخمس
+
+651
+01:00:56,630 --> 01:01:02,810
+تاشر ال left hand side أكبر من ال right hand side
+
+652
+01:01:02,810 --> 01:01:07,790
+في الحالة هذه بيكون دي locked chain structure it
+
+653
+01:01:07,790 --> 01:01:11,370
+is not a kinematic chain لأنه فش ولا link ممكن
+
+654
+01:01:11,370 --> 01:01:14,250
+تتحرك بالنسبة للتانية فش ولا link ممكن تتحرك
+
+655
+01:01:14,250 --> 01:01:18,690
+بالنسبة للتانية عشانك بيسميها locked chain or
+
+656
+01:01:18,690 --> 01:01:22,030
+structure وبالتالي the chain is not a kinematic
+
+657
+01:01:22,030 --> 01:01:28,110
+chain the chain is not a kinematic chainلأن مافيش
+
+658
+01:01:28,110 --> 01:01:31,630
+any relative motion of one element with respect to
+
+659
+01:01:31,630 --> 01:01:53,450
+any other element نشوف نفس المثال هذا انا
+
+660
+01:01:53,450 --> 01:02:01,420
+عندي high lengthأو chain بيعني واحد اتنين تلاتة
+
+661
+01:02:01,420 --> 01:02:17,140
+أربع خمسة ستة سبعة تمانية تسعة عشرة عشر لينكات او
+
+662
+01:02:17,140 --> 01:02:18,600
+عندي joint عند a
+
+663
+01:02:21,740 --> 01:02:32,280
+ثلاثية و joint on B و joint on C و joint on D و
+
+664
+01:02:32,280 --> 01:02:38,940
+joint on E و joint on F و joint on G
+
+665
+01:03:23,560 --> 01:03:36,160
+طيب عند ال binary joints عند D واحدة وعند
+
+666
+01:03:36,160 --> 01:03:44,320
+ال tenor joint عند A واحد وعند B اتنين وعند C
+
+667
+01:03:44,320 --> 01:03:51,160
+تلاتة وعند G اربع
+
+668
+01:03:55,250 --> 01:04:04,450
+و عند E خمسة و عند F ستة يعني عند الستة ترني جونز
+
+669
+01:04:04,450 --> 01:04:14,870
+والرباية سفر معناته ال number of jones جيه حيث
+
+670
+01:04:14,870 --> 01:04:21,580
+ساويعندي واحد و نص الناقص اتنين ال j انا عندي او
+
+671
+01:04:21,580 --> 01:04:27,500
+ال .. ال .. عندي ال j عندي واحدة binary زي ستة
+
+672
+01:04:27,500 --> 01:04:33,680
+ثلاث يعني ستة في اتنين هيكون استوى تلتاش وال links
+
+673
+01:04:33,680 --> 01:04:40,960
+عندي عشرة مانعته عندي ال j عندي تلتاش عندي واحد و
+
+674
+01:04:40,960 --> 01:04:48,340
+نصفي عشرة ماقص اتنين يعني تلاتاش بيساوي تلاتاش
+
+675
+01:04:48,340 --> 01:04:55,560
+يعني left hand side بيساوي ال right hand side
+
+676
+01:04:55,560 --> 01:04:59,260
+معناته this is a kinematic chain with one degree
+
+677
+01:04:59,260 --> 01:05:02,120
+of freedom this is kinematic chain with one degree
+
+678
+01:05:02,120 --> 01:05:08,540
+of freedom طيب
+
+679
+01:05:19,760 --> 01:05:32,600
+طيب اخش الموضوع الجديد اللي
+
+680
+01:05:32,600 --> 01:05:37,820
+هي mechanism ال mechanism هي عبارة عن kinematic
+
+681
+01:05:37,820 --> 01:05:43,080
+chain in which one of the links is fixed ال
+
+682
+01:05:43,080 --> 01:05:45,680
+mechanism بتبقى عبارة عن kinematic chain واحدة من
+
+683
+01:05:45,680 --> 01:05:52,140
+اللينكات بتكون مثبتة يعني عنديعندي مثلا four bar
+
+684
+01:05:52,140 --> 01:05:55,920
+chain four
+
+685
+01:05:55,920 --> 01:06:01,060
+bar chain هاي
+
+686
+01:06:01,060 --> 01:06:06,940
+ال link واحد اتنين تلاتة اربعة هاد يسميها chain لو
+
+687
+01:06:06,940 --> 01:06:09,360
+ثبت اي link فيهم يقولوا انا ثبتت واحد
+
+688
+01:06:12,090 --> 01:06:17,310
+بصير ايش اسمها؟ mechanism once استبتت اي link فيهم
+
+689
+01:06:17,310 --> 01:06:22,290
+بصير اسمها mechanism في الأول كان اسمها chain او
+
+690
+01:06:22,290 --> 01:06:28,070
+kinematic chain once we fixany element or any link
+
+691
+01:06:28,070 --> 01:06:32,850
+of the chain we call it a mechanism a mechanism is
+
+692
+01:06:32,850 --> 01:06:36,530
+used for transmitting it for transmitting or
+
+693
+01:06:36,530 --> 01:06:41,850
+transforming motion الميكانيزم تستخدم لنقل الحركة
+
+694
+01:06:41,850 --> 01:06:45,870
+أو تحويل الحركة من صيغة لاخر يعني ممكن احول الحركة
+
+695
+01:06:45,870 --> 01:06:51,380
+من حركة دائريةلحركة .. من حركة دورانية لحركة خطية
+
+696
+01:06:51,380 --> 01:06:55,340
+او العكس من حركة خطية لحركة دورانية او من حركة
+
+697
+01:06:55,340 --> 01:06:59,460
+دورانية لحركة كذبذبية يعني في اكتر من طريقة لتغيير
+
+698
+01:06:59,460 --> 01:07:05,980
+شكل الحركة امثل كتير عن ال mechanisms اللي هو يعني
+
+699
+01:07:05,980 --> 01:07:09,040
+ال four bar linkage ال slotted crank mechanism وفي
+
+700
+01:07:09,040 --> 01:07:12,200
+mechanisms تانية بس هذه الشهرة الأكتر شيوعا في ال
+
+701
+01:07:12,200 --> 01:07:12,520
+machines
+
+702
+01:07:15,830 --> 01:07:22,090
+طيب الميكانيزم ممكن تكون simple mechanism أو
+
+703
+01:07:22,090 --> 01:07:26,110
+compound mechanism بتكون simple إذا كان عدد ال
+
+704
+01:07:26,110 --> 01:07:29,750
+links أربعة إذا كان number of links is four بسميها
+
+705
+01:07:29,750 --> 01:07:33,870
+simple إذا كان عدد ال links أكبر من أربعة بسميها
+
+706
+01:07:33,870 --> 01:07:36,610
+آلية مركبة compound mechanism
+
+707
+01:07:42,450 --> 01:07:46,030
+when a mechanism is required to transmit power or
+
+708
+01:07:46,030 --> 01:07:50,670
+to do some useful work we call the mechanism a
+
+709
+01:07:50,670 --> 01:07:56,990
+machine نسميها آلة لأن في آلية mechanism وفي آلة
+
+710
+01:07:56,990 --> 01:08:00,410
+machine mechanism هي عبارة عن canonical chain in
+
+711
+01:08:00,410 --> 01:08:04,990
+which one element or one link is fixed ال machine
+
+712
+01:08:04,990 --> 01:08:10,410
+هي آلية لكن بتنقل power أو قدرة يعني زي ال slotted
+
+713
+01:08:10,410 --> 01:08:15,820
+crank mechanismفي ال engine بتاع السيارة بسميها
+
+714
+01:08:15,820 --> 01:08:19,760
+machine لان بتنقل ال power من ال piston ل ال crank
+
+715
+01:08:19,760 --> 01:08:25,280
+او في حالة ال compressor بيكون ال input عند ال
+
+716
+01:08:25,280 --> 01:08:30,340
+crank الموتور بدور بنقل ال power بيحولها ل
+
+717
+01:08:30,340 --> 01:08:36,300
+pressure عند ال piston معناته طيب
+
+718
+01:08:39,460 --> 01:08:43,380
+ان نيجي ل number of degrees of freedom for a plan
+
+719
+01:08:43,380 --> 01:08:49,220
+mechanism عدد اللي هي درجات
+
+720
+01:08:49,220 --> 01:08:55,840
+الحرية او درجات الحركة للاليات في المستوى ال
+
+721
+01:08:55,840 --> 01:08:59,580
+degrees of freedom هي عدد ال input parameters
+
+722
+01:09:02,430 --> 01:09:08,810
+الممكن اتحكم فيها بشكل مستقل عشان اوصل ال .. ال ..
+
+723
+01:09:08,810 --> 01:09:10,090
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+724
+01:09:10,090 --> 01:09:10,410
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+725
+01:09:10,410 --> 01:09:10,510
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+726
+01:09:10,510 --> 01:09:11,590
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+727
+01:09:11,590 --> 01:09:12,410
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+728
+01:09:12,410 --> 01:09:13,370
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+729
+01:09:13,370 --> 01:09:13,470
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+730
+01:09:13,470 --> 01:09:13,990
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+731
+01:09:13,990 --> 01:09:16,250
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+732
+01:09:16,250 --> 01:09:19,370
+.. ال ..
+
+733
+01:09:19,370 --> 01:09:19,370
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+734
+01:09:19,370 --> 01:09:19,370
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+735
+01:09:19,370 --> 01:09:24,510
+ال .. ال ..
+
+736
+01:09:24,510 --> 01:09:25,910
+ال .. ال .. ال
+
+737
+01:09:30,740 --> 01:09:36,940
+بدي احكي درجة انسهار درجة انسهار اي مادة درجة
+
+738
+01:09:36,940 --> 01:09:43,200
+انسهار اي مادة مثلا احكي درجة انسهار المياه بتعتمد
+
+739
+01:09:43,200 --> 01:09:52,720
+على الضغط ودرجة الحرارة معناته انا ممكن اغير الضغط
+
+740
+01:09:52,720 --> 01:09:56,700
+بشكل مستقل ودرجة الحرارة بشكل مستقل عشان اغير درجة
+
+741
+01:09:56,700 --> 01:10:03,430
+انسهارالمية ال output parameter ندياش درجة النصهار
+
+742
+01:10:03,430 --> 01:10:08,170
+ال input parameters للتحكم في درجة النصهار هي
+
+743
+01:10:08,170 --> 01:10:12,090
+الضغط ودرجة الحرارة هذول ال input parameters
+
+744
+01:10:12,090 --> 01:10:15,730
+بيسموه ال degrees of freedom اللي هم هذول ال
+
+745
+01:10:15,730 --> 01:10:20,270
+degrees of freedom اللي بتحكم فيها من خلالهم في
+
+746
+01:10:20,270 --> 01:10:26,530
+درجة نصهار الميةمعنى degrees of freedom لأي نظام
+
+747
+01:10:26,530 --> 01:10:29,410
+ميكانيكي مش بضروري يكون في القليل فقط degrees of
+
+748
+01:10:29,410 --> 01:10:33,370
+freedom هو number of independent input parameters
+
+749
+01:10:33,370 --> 01:10:36,610
+needed to control some output degrees of freedom
+
+750
+01:10:36,610 --> 01:10:40,510
+number of independent input parameters needed to
+
+751
+01:10:40,510 --> 01:10:46,690
+fully control some output يعني to control the
+
+752
+01:10:46,690 --> 01:10:52,840
+melting temperature أو melting point of waterWe
+
+753
+01:10:52,840 --> 01:10:59,000
+need to change pressure and temperature يعني ال
+
+754
+01:10:59,000 --> 01:11:01,180
+degrees of freedom في الحالة هذي تكون اتنين
+
+755
+01:11:01,180 --> 01:11:05,600
+degrees of freedom تكون اتنين لو احتجت متغير واحد
+
+756
+01:11:05,600 --> 01:11:10,720
+عشان اسيطر على متغير اخر معناته تكون degrees of
+
+757
+01:11:10,720 --> 01:11:15,920
+freedom واحد لو احتجت تلاتة parameters عشان اسيطر
+
+758
+01:11:15,920 --> 01:11:18,100
+على output معين معناه degrees of freedom تكون
+
+759
+01:11:18,100 --> 01:11:18,720
+تلاتة
+
+760
+01:11:21,910 --> 01:11:27,570
+نشوف عندنا هنا four bar linkage four bar linkage
+
+761
+01:11:27,570 --> 01:11:40,290
+عندنا
+
+762
+01:11:40,290 --> 01:11:48,530
+link واحد link اتنين link تلاتة link اربعة الان لو
+
+763
+01:11:48,530 --> 01:11:54,890
+حركت هذه الزاويةلو حركت فقط ال link اتنين كله
+
+764
+01:11:54,890 --> 01:11:59,510
+هيتحرك معاها معناته what I need is to mobilize او
+
+765
+01:11:59,510 --> 01:12:03,530
+انه لازم احرك اتنين عشان احرك تلاتة و اربعة معناته
+
+766
+01:12:03,530 --> 01:12:10,450
+محتاج اتحكم فقط في زاوية زاوية ال link اتنينهذا
+
+767
+01:12:10,450 --> 01:12:14,270
+system it has one degree of freedom I need only
+
+768
+01:12:14,270 --> 01:12:17,370
+one parameter to control the motion of the whole
+
+769
+01:12:17,370 --> 01:12:21,010
+mechanism عشان انا بسميه number of degree هذا one
+
+770
+01:12:21,010 --> 01:12:27,210
+degree of freedom system نشوف
+
+771
+01:12:27,210 --> 01:12:31,910
+حالة تانية عندي
+
+772
+01:12:31,910 --> 01:12:33,270
+hand system
+
+773
+01:12:43,060 --> 01:12:57,600
+هذه نقطة A B E D C هذه link واحد وهنا واحد هذه
+
+774
+01:12:57,600 --> 01:13:04,900
+link اتنين link تلاتة link اربع و link خمسة
+
+775
+01:13:29,250 --> 01:13:37,210
+لو حركت فقط بس link 2 لو حركت فقط بس link 2 ممكن
+
+776
+01:13:37,210 --> 01:13:42,710
+احصل على اكتر من configuration للميكانيزم هذه عشان
+
+777
+01:13:42,710 --> 01:13:47,190
+احصل على one configuration لازم اتحكم ب two
+
+778
+01:13:47,190 --> 01:13:54,570
+parameter لازم اتحكم بزاوية ال link 2 و ال link 5
+
+779
+01:13:54,570 --> 01:13:57,030
+يعني لازم اتحكم ب theta 1
+
+780
+01:14:01,160 --> 01:14:07,200
+وها دي ثتا اتنين to get one configuration of this
+
+781
+01:14:07,200 --> 01:14:13,180
+mechanism I need to control both theta one and
+
+782
+01:14:13,180 --> 01:14:17,980
+theta two معناته انا محتاج two input parameters to
+
+783
+01:14:17,980 --> 01:14:22,500
+get one specific configuration of this mechanism
+
+784
+01:14:22,500 --> 01:14:24,880
+عشانك بسمي ال system هذا two degrees of freedom
+
+785
+01:14:24,880 --> 01:14:26,980
+system two degrees of freedom system
+
+786
+01:14:51,970 --> 01:14:57,170
+طيب اي link .. اي link لو حكيت هاي ال X
+
+787
+01:15:01,570 --> 01:15:05,690
+هذه ال Y اي link فالت لحاله هيك مش ممسوقة من اي
+
+788
+01:15:05,690 --> 01:15:12,370
+اشي في ال 2D مش ممسوقة من اي حد الماسكها ممكن
+
+789
+01:15:12,370 --> 01:15:20,310
+تتحرك باتجاه ال X و اتجاه ال Y و ممكن تدور يعني
+
+790
+01:15:20,310 --> 01:15:28,250
+ممكن تتحرك X Y و تدور معناته each link بشكل مستقل
+
+791
+01:15:29,250 --> 01:15:40,990
+الها تلاتة motions الها تلاتة motions اذا
+
+792
+01:15:40,990 --> 01:15:44,150
+عملت connection مثلا انا عندي هاي link هادي لحاله
+
+793
+01:15:44,150 --> 01:15:51,230
+free هاي كان عندي link link free في الأول روحت هنا
+
+794
+01:15:51,230 --> 01:15:57,440
+حطيت revolute joint حطيت revolute jointالها هاي
+
+795
+01:15:57,440 --> 01:16:01,580
+واحد هاي اتنين في الأول كانت تتحرك بال X وممكن
+
+796
+01:16:01,580 --> 01:16:05,340
+تتحرك باتجاه ال X واتجاه ال Y وممكن تدور، الها تلت
+
+797
+01:16:05,340 --> 01:16:12,280
+حركات لكن مجرد ما حاطيت واصلة هنا صار مسموح لها
+
+798
+01:16:12,280 --> 01:16:19,380
+فقط تدور معناته فقدت two degrees of freedom يعني
+
+799
+01:16:19,380 --> 01:16:25,330
+each jointبشكل عام each link طالما هي مش متصلة بأي
+
+800
+01:16:25,330 --> 01:16:29,270
+link تانية لها three degrees of freedom مجرد ما
+
+801
+01:16:29,270 --> 01:16:34,290
+أوصل وصلتها في another link فقدت two degrees of
+
+802
+01:16:34,290 --> 01:16:38,450
+freedom يعني each link بتخليها تفقد two degrees of
+
+803
+01:16:38,450 --> 01:16:45,650
+freedom خليني
+
+804
+01:16:45,650 --> 01:16:50,850
+أطلع على الشكل هذا، عندي هنا link واحد
+
+805
+01:16:56,040 --> 01:17:02,800
+مثبتة وعندي link اتنين وعندي
+
+806
+01:17:02,800 --> 01:17:11,160
+link تلاتة وعندي link اربعة لحظة ال link واحد ثابت
+
+807
+01:17:11,160 --> 01:17:17,840
+لا بتتحرك لا في X ولا في Y ولا بالدور معناته مقيدة
+
+808
+01:17:17,840 --> 01:17:19,880
+ال degree of freedom بتاعتها ايه في الساعة الها دي
+
+809
+01:17:19,880 --> 01:17:26,620
+سفر اتنين حرة الها تلت حركاتيعني هنا تلاتة و تلاتة
+
+810
+01:17:26,620 --> 01:17:30,140
+حرة لها تلاتة حركات تلاتة و تلاتة ستة و أربعة حرة
+
+811
+01:17:30,140 --> 01:17:34,500
+يعني تلاتة و تلاتة و تلاتة هيكون ال degree of
+
+812
+01:17:34,500 --> 01:17:38,760
+freedom في الحالة دي ايش تساوي تسعة لأن لو روحت ما
+
+813
+01:17:38,760 --> 01:17:45,520
+سكت عندي هذه ال link واحد هذه
+
+814
+01:17:45,520 --> 01:17:49,920
+اتنين تلاتة اربعة روحت ما سكت
+
+815
+01:17:57,480 --> 01:18:04,340
+مسكت أربعة مع واحد من خلال من خلال revealed joint
+
+816
+01:18:04,340 --> 01:18:09,260
+معناته هذه صار لها degree واحد degree freedom وهذه
+
+817
+01:18:09,260 --> 01:18:13,900
+تلاتة وهذه أربعة وتلاتة سبعة معناته هنا degree of
+
+818
+01:18:13,900 --> 01:18:19,560
+freedom هنا تسعة وهنا سبعة روحت في حالة تالتة روحت
+
+819
+01:18:19,560 --> 01:18:26,460
+مسكت هذه واحد link واحد link اتنين link تلاتة link
+
+820
+01:18:26,460 --> 01:18:27,000
+أربعة
+
+821
+01:18:34,270 --> 01:18:37,470
+مساكت اتنين واربعة بالـ Revolute Jones النقطة هذه
+
+822
+01:18:37,470 --> 01:18:40,430
+النقطة هذه معناته اتنين فقدت two degrees of
+
+823
+01:18:40,430 --> 01:18:44,710
+freedom اذا عندك واحد زاد واحد اتنين زاد تلاتة
+
+824
+01:18:44,710 --> 01:18:54,810
+ثلاثة degrees of freedom عندك خمسة خطوة تالتة اذا
+
+825
+01:18:54,810 --> 01:19:00,670
+عندك ممسوك هنا عندك واحد اتنين تلاتة اربعة
+
+826
+01:19:10,700 --> 01:19:13,120
+مسكت تلاتة في أربعة عند النقطة هذه بـrevolute
+
+827
+01:19:13,120 --> 01:19:18,860
+joint معناته عند هنا صارت واحد واحد واحد واحد صار
+
+828
+01:19:18,860 --> 01:19:24,240
+ال degree of freedom عند ايش تلاتة اخر شئ روح
+
+829
+01:19:24,240 --> 01:19:27,080
+اتمسكت كل ال links من خلال ال revolute joints هاي
+
+830
+01:19:27,080 --> 01:19:32,400
+عندي link واحد وهي link اتنين وهي revolute joint
+
+831
+01:19:32,400 --> 01:19:39,400
+وهي link تلاتة وهي link أربعة
+
+832
+01:19:49,730 --> 01:19:53,030
+في الحالة هذه السفسيرة degrees of freedom واحد I
+
+833
+01:19:53,030 --> 01:19:56,290
+need only one parameter to control the motion of
+
+834
+01:19:56,290 --> 01:20:02,450
+the mechanism معناته when a link is connected to a
+
+835
+01:20:02,450 --> 01:20:05,630
+fixed link by a turning pair two degrees of
+
+836
+01:20:05,630 --> 01:20:13,730
+freedom are lost or destroyed احنا
+
+837
+01:20:13,730 --> 01:20:18,980
+حكينا الميكانيزم عبارة عن kinematic chainin which
+
+838
+01:20:18,980 --> 01:20:24,140
+link in which
+
+839
+01:20:24,140 --> 01:20:28,200
+حكينا الميكانيزم is a kinematic chain in which one
+
+840
+01:20:28,200 --> 01:20:37,700
+of the lengths of the links is fixed في
+
+841
+01:20:37,700 --> 01:20:43,680
+ميكانيزم حكينا أحد ال links لازم تكون ثابتة معناته
+
+842
+01:20:43,680 --> 01:20:49,320
+عدد ال links اللي قابل الحركةسأطرح واحد سيكون عدد
+
+843
+01:20:49,320 --> 01:20:52,140
+ال links ناقص واحد عدد ال links القابض للحركة
+
+844
+01:20:52,140 --> 01:20:56,700
+سيكون ال ناقص واحد ال total number of degrees of
+
+845
+01:20:56,700 --> 01:21:01,240
+freedom لل links اللي هي ال ناقص واحد قبل ما
+
+846
+01:21:01,240 --> 01:21:06,060
+اوصلها ب any other link سيكون كل واحدة تلاتة تلاتة
+
+847
+01:21:06,060 --> 01:21:09,240
+في ال ناقص واحد معناته total number of degrees of
+
+848
+01:21:09,240 --> 01:21:14,020
+freedom before connecting any link to any other
+
+849
+01:21:14,020 --> 01:21:16,360
+link ستكون تلاتة في ال ناقص واحد
+
+850
+01:21:22,220 --> 01:21:25,660
+الان هنجي للمعادلة العامة لتحديد degrees of
+
+851
+01:21:25,660 --> 01:21:29,920
+freedom of a mechanism number of degrees of
+
+852
+01:21:29,920 --> 01:21:33,780
+freedom of a mechanism، عندي mechanism معاها تحتوي
+
+853
+01:21:33,780 --> 01:21:41,720
+على ال links وهذه ال links متصلة بعضها البعض من
+
+854
+01:21:41,720 --> 01:21:46,340
+خلال j binary joints or lower pairs
+
+855
+01:21:49,640 --> 01:21:54,900
+و each number of higher pairs هتكون degrees of
+
+856
+01:21:54,900 --> 01:22:01,220
+freedom N بالساوية تلاتة
+
+857
+01:22:01,220 --> 01:22:10,240
+في L ناقص واحد ناقص
+
+858
+01:22:10,240 --> 01:22:16,220
+اتنين J ناقص H
+
+859
+01:22:22,100 --> 01:22:26,320
+لو خبيت هدول هتمثل degrees of freedom before
+
+860
+01:22:26,320 --> 01:22:30,540
+connecting any link to any other link إذا أضفت
+
+861
+01:22:30,540 --> 01:22:35,140
+number of binary joints كل each binary joint
+
+862
+01:22:35,140 --> 01:22:37,380
+بتفقدني two degrees of freedom يعني الـ two في
+
+863
+01:22:37,380 --> 01:22:42,720
+عددها اتنين جيه و each higher joint بتفقدني one
+
+864
+01:22:42,720 --> 01:22:45,600
+degree of freedom معناه ال total degrees of
+
+865
+01:22:45,600 --> 01:22:49,420
+freedom أنا بستوى تلاتة في الناقص واحد minus two j
+
+866
+01:22:49,420 --> 01:22:50,540
+minus واحد
+
+867
+01:22:53,230 --> 01:22:57,470
+هذا تسمى codes back criterion for mobility of a
+
+868
+01:22:57,470 --> 01:23:00,730
+mechanism having plan motion هذا المعادلة codes
+
+869
+01:23:00,730 --> 01:23:05,930
+back criterion for mobility of a mechanism having
+
+870
+01:23:05,930 --> 01:23:13,230
+plan motion ان
+
+871
+01:23:13,230 --> 01:23:17,220
+نتطلع انا عند هناStructure طبعا الـ Structure
+
+872
+01:23:17,220 --> 01:23:20,360
+Automatic هيبين عندي degrees of freedom عندي ايش؟
+
+873
+01:23:20,360 --> 01:23:24,840
+Zero عندي N، هعندي هنا link واحد، link اتنين، link
+
+874
+01:23:24,840 --> 01:23:28,500
+تلاتة، عندي تلاتة binaries، واحد، اتنين، تلاتة،
+
+875
+01:23:28,500 --> 01:23:34,700
+معناته الـ N هتساويالان هتكون تلاتة فى تلاتة ناقص
+
+876
+01:23:34,700 --> 01:23:41,100
+واحد ناقص اتنين فى تلاتة ناقص سفر يعني هتكون ستة
+
+877
+01:23:41,100 --> 01:23:45,640
+ناقص ستة ناقص سفر سفر مافيش اي degrees of freedom
+
+878
+01:23:45,640 --> 01:23:50,420
+motion is not possible معناته هذه ال structure و
+
+879
+01:23:50,420 --> 01:23:53,100
+ال degrees of freedom بالساوية سفر لو خدت ال
+
+880
+01:23:53,100 --> 01:23:56,800
+structure هذا عندي اي كام link عندي link واحد
+
+881
+01:23:56,800 --> 01:24:05,470
+اتنين تلاتة اربع خمسة ستةمعناته الأن هتساوي تلاتة
+
+882
+01:24:05,470 --> 01:24:10,410
+في ستة ناقص واحد اكتب بيناري جوة عندي واحد اتنين
+
+883
+01:24:10,410 --> 01:24:15,490
+تلاتة اربعة ناقص اتنين في اربعة ناقص سفر يعني
+
+884
+01:24:15,490 --> 01:24:21,370
+تلاتة تلاتة في تلاتة
+
+885
+01:24:21,370 --> 01:24:25,970
+في ناقص اتنين اه في خطأ عندي
+
+886
+01:24:29,450 --> 01:24:34,850
+أنا عندي turn and rejoin وصلة ثلاثية وصلة ثلاثية
+
+887
+01:24:34,850 --> 01:24:38,770
+ووصلة ثلاثية اربع وصلات ثلاثية مانعته ال جيه الجيه
+
+888
+01:24:38,770 --> 01:24:42,750
+هتكون اربع وصلات ثلاثية في اتنين هتكون تستوى
+
+889
+01:24:42,750 --> 01:24:48,250
+تمانية هتكون ماقص اتنين في تمانية ماقص سفر يعني
+
+890
+01:24:48,250 --> 01:24:52,730
+هتكون تستوى عندي تلاتة في ستة خمستاش ماقص ستاش
+
+891
+01:24:52,730 --> 01:24:59,070
+ماقص سفر هتكون تستوى ماقص واحدهذا indeterminate ..
+
+892
+01:24:59,070 --> 01:25:04,230
+indeterminate structure it is structure فيه عنصر
+
+893
+01:25:04,230 --> 01:25:06,190
+إضافي مافيش .. مافيش اللي اللي لازم يعني يا .. يا
+
+894
+01:25:06,190 --> 01:25:10,150
+هذا .. يعني هذا أو هذا مالهم مش لازمة عشانك طلعت
+
+895
+01:25:10,150 --> 01:25:14,470
+ال degrees مقيدة بالزيادة أكتر من اللازم مقيدة سفر
+
+896
+01:25:14,470 --> 01:25:18,270
+ناقص واحد مربطها بالزيادة يعني في عنصر اندي
+
+897
+01:25:18,270 --> 01:25:21,930
+الزيادة عشانك يسميها statistically indeterminate
+
+898
+01:25:21,930 --> 01:25:22,810
+structure
+
+899
+01:25:33,420 --> 01:25:37,900
+عندي four bar linkage link واحد اتنين تلاتة أربعة
+
+900
+01:25:37,900 --> 01:25:44,750
+وأربع joints يعني عندي هنا ال L أربعةو ال J بيستوى
+
+901
+01:25:44,750 --> 01:25:50,910
+أربعة معناته ال N و ال H بيستوى سفر N هتسوى تلاتة
+
+902
+01:25:50,910 --> 01:25:55,970
+في أربعة ناقص واحد ناقص اتنين في أربعة ناقص سفر
+
+903
+01:25:55,970 --> 01:25:59,690
+يعني تلاتة في تلاتة تسعة ناقص تمانية ناقص سفر
+
+904
+01:25:59,690 --> 01:26:03,650
+بالسافر واحد معناته هذا degrees of freedom واحد I
+
+905
+01:26:03,650 --> 01:26:10,450
+need to only move one link to control the whole
+
+906
+01:26:10,450 --> 01:26:14,460
+mechanismعند التانية هذه عند أكمل link واحد،
+
+907
+01:26:14,460 --> 01:26:20,520
+اتنين، تلاتة، أربعة، خمسة link عند هنا عند
+
+908
+01:26:20,520 --> 01:26:25,580
+ال number of links ألبس ساوية خمسة ال number of
+
+909
+01:26:25,580 --> 01:26:33,720
+joints في عند هنا binary عند واحد واحد اتنين زائد
+
+910
+01:26:33,720 --> 01:26:39,860
+عند وصلة ثلاثية واحد اتنين زائد تلاتة زائد اتنين
+
+911
+01:26:39,860 --> 01:26:45,430
+في اتنينيعني هيكون ستة الـ J الآن في الحلقة دي
+
+912
+01:26:45,430 --> 01:26:52,320
+هتستوفر تلاتةفي خمسة ناقص واحد ناقص اتنين في ستة
+
+913
+01:26:52,320 --> 01:26:57,340
+ناقص سفر يعني هيكون تلاتة في اربعة اتناش ناقص
+
+914
+01:26:57,340 --> 01:27:01,620
+اتناش ناقص سفر بستو سفر بيبين اللي هتتحرك من عنده
+
+915
+01:27:01,620 --> 01:27:05,600
+it is a structure and it has zero degree of
+
+916
+01:27:05,600 --> 01:27:10,140
+freedom نبطلع على الميكانيزم هذه واحد اتنين تلاتة
+
+917
+01:27:10,140 --> 01:27:19,340
+اربعة خمسة links الخمسة links ال Lبسوة خمسة length
+
+918
+01:27:19,340 --> 01:27:26,720
+والـ J عندي خمسة jointsو ال H بالساوية سفر معناته
+
+919
+01:27:26,720 --> 01:27:32,160
+الآن بالساوية تلاتة في خمسة ناقص واحد ناقص اتنين
+
+920
+01:27:32,160 --> 01:27:37,640
+في خمسة يعني هكون الساوية اتناش ناقص عشرة بالساوية
+
+921
+01:27:37,640 --> 01:27:40,260
+اتنين معناته ال degrees of freedom في الحالة هذه
+
+922
+01:27:40,260 --> 01:27:47,420
+اتنين I need to control the motion of two links to
+
+923
+01:27:47,420 --> 01:27:51,520
+get a specific configuration of the mechanismمعنى
+
+924
+01:27:51,520 --> 01:27:58,480
+degree of freedom عندي H تساوي اتنين مثال
+
+925
+01:27:58,480 --> 01:28:05,040
+تالت عندي
+
+926
+01:28:05,040 --> 01:28:14,960
+cam وعندي
+
+927
+01:28:14,960 --> 01:28:15,340
+follower
+
+928
+01:28:22,340 --> 01:28:27,700
+عند ال links هال link واحد وال link اتنين وال link
+
+929
+01:28:27,700 --> 01:28:34,820
+تلاتة عند ال number of links ال بيستوى تلاتة ال
+
+930
+01:28:34,820 --> 01:28:41,400
+joints عندي
+
+931
+01:28:41,400 --> 01:28:45,060
+عند ال joints هين one one lower pair joint one
+
+932
+01:28:45,060 --> 01:28:50,480
+lower pair joint هين هاي اتنين زاد عندي higher
+
+933
+01:28:50,480 --> 01:29:01,210
+pair joint هينعند هنا ال J بيساوي اتنين وال H عند
+
+934
+01:29:01,210 --> 01:29:06,530
+higher pair لأن عند هنا line contact واحد معناته
+
+935
+01:29:06,530 --> 01:29:12,510
+ال N هتساوي تلاتة في تلاتة ناقص واحد ناقص اتنين في
+
+936
+01:29:12,510 --> 01:29:18,750
+اتنين ناقص واحد هتساوي تلات اتنين ستة ناقص اربع
+
+937
+01:29:18,750 --> 01:29:22,030
+ناقص واحد واحد
+
+938
+01:29:24,980 --> 01:29:31,140
+معناته ال degrees of freedom is one يعني either I
+
+939
+01:29:31,140 --> 01:29:35,000
+rotate this link to control the motion of this bar
+
+940
+01:29:35,000 --> 01:29:40,060
+او I rotate this part to control the rotation of
+
+941
+01:29:40,060 --> 01:29:42,980
+this mechanism لكن هو على الأغلب بيكون انا هدور
+
+942
+01:29:42,980 --> 01:29:45,980
+الكام هذه عشان اتحكم في حركة ال bar هذا يعني هذا
+
+943
+01:29:45,980 --> 01:29:49,420
+هو هذه الكام وهذا ال follower
+
+944
+01:29:57,160 --> 01:30:03,140
+ناخد المثال .. ناخد اللي هو المثال الأخير و ننهي
+
+945
+01:30:03,140 --> 01:30:13,400
+المحاضرة انا
+
+946
+01:30:13,400 --> 01:30:21,660
+عندي هنا link واحد أو link اتنين او link تلاتة و
+
+947
+01:30:21,660 --> 01:30:32,250
+هنا في عندي اش ردرلنك اتنين تلاتة اربعة wheel عند
+
+948
+01:30:32,250 --> 01:30:38,410
+ال ال number of links بيستوي اربعة number of lower
+
+949
+01:30:38,410 --> 01:30:42,190
+pair joints عندي هاي ال lower pair واحد اتنين
+
+950
+01:30:42,190 --> 01:30:49,250
+تلاتة وعندي ال higher pair joints عندي joint هين
+
+951
+01:30:49,250 --> 01:30:50,850
+واحد
+
+952
+01:30:53,800 --> 01:30:59,760
+معناته الان هتساوي تلاتة في ال ناقص واحد ناقص
+
+953
+01:30:59,760 --> 01:31:05,520
+اتنين J ناقص H هتكون تلاتة في اربعة ناقص واحد ناقص
+
+954
+01:31:05,520 --> 01:31:11,720
+اتنين في تلاتة ناقص واحد يعني هيكون تسعة ناقص ستة
+
+955
+01:31:11,720 --> 01:31:18,650
+ناقص واحد ساوية اتنينI need two degrees of freedom
+
+956
+01:31:18,650 --> 01:31:23,150
+is two I need two parameters to control the motion
+
+957
+01:31:23,150 --> 01:31:25,050
+of this mechanism
+
+958
+01:31:31,490 --> 01:31:36,830
+بنكون اليوم يعني أنهينا المحاضرة الجاية بنكمل
+
+959
+01:31:36,830 --> 01:31:42,570
+باقية ال .. ال chapters بنصحكوا تطلعوا على ال
+
+960
+01:31:42,570 --> 01:31:47,850
+model في حاطة مجموعة كبيرة ممكن حوالي يعني أكتر من
+
+961
+01:31:47,850 --> 01:31:51,630
+عشرة videos بتحاكي حركة الميكانزم كل ال chapter
+
+962
+01:31:51,630 --> 01:31:56,930
+video يعني رائع جدا بنصحكوا تتفرجوا عليها تكلوا
+
+963
+01:31:56,930 --> 01:31:57,210
+العافية
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2ElWa7oOPU0.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2ElWa7oOPU0.srt
new file mode 100644
index 0000000000000000000000000000000000000000..793dbbb9692e39e69cd5d6c65823cf962ab63d26
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2ElWa7oOPU0.srt
@@ -0,0 +1,1174 @@
+1
+00:00:04,990 --> 00:00:08,530
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,530 --> 00:00:13,970
+وبركاته اليوم هنكمل الحسابات الـ slotted crank
+
+3
+00:00:13,970 --> 00:00:18,590
+mechanism في المحاضرتين السابقتين عملنا حسبنا الـ
+
+4
+00:00:18,590 --> 00:00:21,150
+velocity و الـ acceleration و الـ position لل piston
+
+5
+00:00:21,550 --> 00:00:25,370
+حسبنا الـ .. الـ .. angular velocity و angular
+
+6
+00:00:25,370 --> 00:00:29,150
+acceleration لل connecting rod و بعدين عملنا force
+
+7
+00:00:29,150 --> 00:00:33,050
+analysis حسبنا الـ piston effort حكينا الـ piston
+
+8
+00:00:33,050 --> 00:00:37,450
+effort هو net force along the line of stroke due
+
+9
+00:00:37,450 --> 00:00:43,990
+to .. حكينا الـ FP بيساوي FL  plus/minus FI
+
+10
+00:00:43,990 --> 00:00:48,530
+minus الـ friction force في حالة horizontal engine
+
+11
+00:00:51,050 --> 00:00:55,710
+اليوم هنكمل أول شيء هنتعرف على فكرة جديدة هي الـ
+
+12
+00:00:55,710 --> 00:00:59,330
+compound pendulum أنا عندي هنا مبين عندي rigid
+
+13
+00:00:59,330 --> 00:01:09,490
+body معلق من نقطة A هذا
+
+14
+00:01:09,490 --> 00:01:16,730
+مركز ثقل لل rigid body والمسافة
+
+15
+00:01:16,730 --> 00:01:24,030
+من نقطة التعليق O هي h الآن
+
+16
+00:01:24,030 --> 00:01:26,970
+عملنا small displacement small angular
+
+17
+00:01:26,970 --> 00:01:31,770
+displacement لل rigid body بمقدار
+
+18
+00:01:31,770 --> 00:01:40,210
+زاوية θ طبعا في الوزن مؤثر لتحت وزن الـ rigid
+
+19
+00:01:40,210 --> 00:01:40,530
+body
+
+20
+00:01:44,070 --> 00:01:50,430
+اللي هو الوزن M في G الوزن ممكن أحاول أحلله لو
+
+21
+00:01:50,430 --> 00:01:55,650
+مركبة تجاهي المركبة في اتجاه الـ OG اللي هي هتكون M
+
+22
+00:01:55,650 --> 00:02:01,670
+G Cos
+
+23
+00:02:01,670 --> 00:02:09,910
+θ المركبة عمودية
+
+24
+00:02:09,910 --> 00:02:12,650
+على الـ OG اللي هي M G
+
+25
+00:02:17,470 --> 00:02:22,910
+Sin θ الـ
+
+26
+00:02:22,910 --> 00:02:27,950
+KG هو الـ radius of gyration about G KG الـ radius of
+
+27
+00:02:27,950 --> 00:02:32,290
+gyration حول الـ G لو أخدت الـ moment حول O
+
+28
+00:02:32,290 --> 00:02:37,830
+summation حول
+
+29
+00:02:37,830 --> 00:02:48,790
+O هيكون  IO في α طبعا
+
+30
+00:02:48,790 --> 00:02:56,750
+الـ Mg Cos θ بتعملش moment الـ Mg Sin θ هيكون  دي معناته Mg
+
+31
+00:02:56,750 --> 00:03:09,690
+Sin θ بيساوي الـ IO الـ IO هتكون الـ
+
+32
+00:03:09,690 --> 00:03:11,710
+moment of inertia حول الـ G IG
+
+33
+00:03:14,890 --> 00:03:22,610
+زائد الـ mass في H تربيع والـ IG اللي هي M هتبقى قرا
+
+34
+00:03:22,610 --> 00:03:25,970
+عن الـ
+
+35
+00:03:25,970 --> 00:03:31,630
+mass في الـ radius of gyration KG تربيع زائد M في H
+
+36
+00:03:31,630 --> 00:03:40,710
+تربيع يعني هتكون M في KG تربيع زائد H تربيع يعني الـ
+
+37
+00:03:40,710 --> 00:03:49,880
+M G Sin θ هتكون الـ IO اللي هي M في KG تربيع زائد
+
+38
+00:03:49,880 --> 00:03:56,560
+H تربيع في α for small for small angle
+
+39
+00:03:56,560 --> 00:04:03,300
+displacement for small for small θ يكون
+
+40
+00:04:03,300 --> 00:04:08,420
+دي Sin θ تقريبا بتساوي θ يعني ممكن أحكي
+
+41
+00:04:08,420 --> 00:04:12,640
+أنا MG θ
+
+42
+00:04:16,460 --> 00:04:27,660
+بتساوي M في KG تربيع زائد H تربيع في α يعني الـ
+
+43
+00:04:27,660 --> 00:04:34,440
+M بتروح مع الـ M يعني
+
+44
+00:04:34,440 --> 00:04:38,200
+θ على α  هتصير دي
+
+45
+00:04:43,350 --> 00:04:50,390
+الـ θ على α هتكون
+
+46
+00:04:50,390 --> 00:05:00,790
+بسـاوي KG تربيع زائد H تربيع على G الزمن
+
+47
+00:05:00,790 --> 00:05:05,610
+الدوري لل oscillation رايح جاي هيصير له periodic
+
+48
+00:05:05,610 --> 00:05:06,270
+time
+
+49
+00:05:10,410 --> 00:05:21,190
+هيكون بيساوي اللي هو 2π الجذر التربيعي لـ θ
+
+50
+00:05:21,190 --> 00:05:23,010
+على α
+
+51
+00:05:27,020 --> 00:05:33,360
+يعني هيكون الزمن الدوري T بيساوي 2π الجذر
+
+52
+00:05:33,360 --> 00:05:42,400
+التربيعي لـ θ على α  لكG تربيع زائد H تربيع على G
+
+53
+00:05:42,400 --> 00:05:49,380
+الآن يعني ممكن ألخص الموضوع ببساطة بأحكي إذا عندي
+
+54
+00:05:49,380 --> 00:05:58,390
+جسم إذا عندي جسم شكله مُعقّد شكله مُعقّد
+
+55
+00:05:58,390 --> 00:06:04,730
+يعني أجيب صخرة مثلاً وعايز أعرف الـ moment of
+
+56
+00:06:04,730 --> 00:06:09,730
+inertia بتاعتها أو أبسط من هيك بعمل مثلاً ثقب في
+
+57
+00:06:09,730 --> 00:06:16,710
+الجسم وأعلقه بحط مسمار هنا وبعدين بعمل بحرك بلفه
+
+58
+00:06:16,710 --> 00:06:22,230
+بزاوية θ وأسيبه to oscillate لأن في عندي
+
+59
+00:06:22,230 --> 00:06:27,090
+oscillation وأحسب اللي بحسب مثلاً عدد مثلاً عشرة أو
+
+60
+00:06:27,090 --> 00:06:29,130
+عشرة هو عشرة oscillation بشوف أكثر عشرة
+
+61
+00:06:29,130 --> 00:06:32,290
+oscillation  أكثر آخذ وقت بقسم على عشرة بأحسب الزمن
+
+62
+00:06:32,290 --> 00:06:40,050
+الدوري حسبت الزمن الدوري وأنا عارف G عارف G وعارف
+
+63
+00:06:40,050 --> 00:06:48,640
+H عارف H بأحسب H و الـ KG يعني بأحسب الزمن الدوري
+
+64
+00:06:48,640 --> 00:06:54,680
+بأحسب الـ KG حساب الـ KG الـ IG بيساوي M في KG
+
+65
+00:06:54,680 --> 00:06:58,660
+تربيع يعني إحدى إحدى الطرق لحساب الـ radius of
+
+66
+00:06:58,660 --> 00:07:02,700
+gyration أو حساب الـ moment of inertia لـ rigid body
+
+67
+00:07:02,700 --> 00:07:09,260
+حول مركز ثقله يعني حكينا الزمن الدوري اللي هو
+
+68
+00:07:10,340 --> 00:07:12,740
+periodic time بيساوي 2π الجذر التربيعي لـ KG
+
+69
+00:07:12,740 --> 00:07:19,980
+تربيع زائد H تربيع على G  في H أو
+
+70
+00:07:19,980 --> 00:07:29,480
+G  في H  طيب
+
+71
+00:07:29,480 --> 00:07:35,000
+الآن
+
+72
+00:07:35,000 --> 00:07:39,280
+لو أخدت بندول عادي أخدت بندول بندول اللي إحنا
+
+73
+00:07:39,280 --> 00:07:39,880
+بنعرفه
+
+74
+00:07:44,030 --> 00:07:52,390
+هذا حبل وفي كتلة هنا وهذا
+
+75
+00:07:52,390 --> 00:08:00,830
+الزاوية θ هيكون العزم اللي عندي Mg Mg
+
+76
+00:08:00,830 --> 00:08:14,040
+Mg Mg Mg Mg Mg Mg Mg Mg Mg العزم Torque حول O
+
+77
+00:08:14,040 --> 00:08:29,340
+الـ Torque هيكون بيساوي MG في L هذا طوله L Sin
+
+78
+00:08:29,340 --> 00:08:40,000
+θ بيساوي IO في α for small θ  حسينا دي
+
+79
+00:08:40,000 --> 00:08:52,360
+MGL في θ بيساوي الـ IO هتكون ML تربيع في
+
+80
+00:08:52,360 --> 00:08:59,620
+α يعني الـ θ على α بتساوي
+
+81
+00:09:03,320 --> 00:09:11,620
+هذا الـ L مع L و M مع M هيكون L على G والزمن
+
+82
+00:09:11,620 --> 00:09:17,260
+الدوري الـ Tv هيكون 2π الجذر التربيعي لـ θ
+
+83
+00:09:17,260 --> 00:09:22,900
+على α يعني هتكون الـ Tv لـ لـ Simple pendulum
+
+84
+00:09:22,900 --> 00:09:32,020
+هتكون 2π الجذر التربيعي للـ L على
+
+85
+00:09:34,820 --> 00:09:39,420
+G خلينا نقارن عند هذا for simple pendulum for
+
+86
+00:09:39,420 --> 00:09:44,500
+simple pendulum الـ Tp للـ compound pendulum هتكون
+
+87
+00:09:44,500 --> 00:09:54,940
+بسـاوي 2π الجذر التربيعي لـ L
+
+88
+00:09:54,940 --> 00:10:02,200
+على G لاحظوا هتلاحظوا القيمة هذه
+
+89
+00:10:05,680 --> 00:10:14,380
+تقريباً الـ L هتكون بيساوي KG تربيع زائد H
+
+90
+00:10:14,380 --> 00:10:19,280
+تربيع على H
+
+91
+00:10:23,010 --> 00:10:25,510
+معناته الـ equivalent length of a simple pendulum
+
+92
+00:10:25,510 --> 00:10:27,810
+which gives the same frequency as compound
+
+93
+00:10:27,810 --> 00:10:31,830
+pendulum  لأن الـ length هتكون بيساوي KG
+
+94
+00:10:31,830 --> 00:10:34,810
+تربيع زائد H تربيع على H يعني KG تربيع على H زائد
+
+95
+00:10:34,810 --> 00:10:35,290
+H
+
+96
+00:10:50,850 --> 00:10:56,710
+طيب لأن هنشوف كيف نوجد equivalent rigid .. كيف
+
+97
+00:10:56,710 --> 00:11:00,890
+ممكن أستبدل أستبدل rigid body بـ two masses بحيث
+
+98
+00:11:00,890 --> 00:11:03,790
+الـ effect بتاع الـ two masses يكون نفس الـ effect لل
+
+99
+00:11:03,790 --> 00:11:09,170
+ للـ للـ rigid body إحنا حكينا to determine
+
+100
+00:11:09,170 --> 00:11:11,790
+motion of a rigid body it is convenient to replace
+
+101
+00:11:11,790 --> 00:11:14,170
+the rigid body by two masses placed at fixed
+
+102
+00:11:14,170 --> 00:11:19,310
+distance apart such that أنا ممكن أستبدل جسم
+
+103
+00:11:19,310 --> 00:11:26,280
+جسم أستبدله بـ two masses بحيث
+
+104
+00:11:26,280 --> 00:11:29,780
+يكون مجموع الـ two masses بيساوي الـ total
+
+105
+00:11:29,780 --> 00:11:33,820
+mass للـ rigid body و الـ center of gravity للـ two
+
+106
+00:11:33,820 --> 00:11:36,740
+masses يتطابق مع الـ center of gravity للـ rigid
+
+107
+00:11:36,740 --> 00:11:41,020
+body و مجموع الـ mass متمركزة للـ two masses
+
+108
+00:11:41,020 --> 00:11:44,680
+بيسـاوي الـ mass متمركزة للـ rigid body على نحو
+
+109
+00:11:44,680 --> 00:11:45,880
+التالي أنا عندي هذا الجسم
+
+110
+00:11:49,290 --> 00:11:55,250
+هذا الوضع كتلة M هذا
+
+111
+00:11:55,250 --> 00:12:02,250
+مركز ثقله و
+
+112
+00:12:02,250 --> 00:12:08,430
+كتلة H M بدي
+
+113
+00:12:08,430 --> 00:12:15,670
+أستبدل الاثنين بمجموعتين واحدة مجموعة M
+
+114
+00:12:15,670 --> 00:12:26,010
+واحدة one mass at B كتلتها M واحدة المسافة بين M و
+
+115
+00:12:26,010 --> 00:12:32,290
+M واحدة واحدة وهما الاثنين والمسافة الكلية بين الـ
+
+116
+00:12:32,290 --> 00:12:37,530
+two masses الـ L الآن
+
+117
+00:12:37,530 --> 00:12:42,730
+اللي سويته أنا هي عندي rigid body حكيت بدي أحط
+
+118
+00:12:42,730 --> 00:12:48,390
+مكافئه للـ rigid body الـ mass بتاعته M بدي أحط له
+
+119
+00:12:48,390 --> 00:12:56,030
+مكافئه two masses M1 و M2 بحيث أن يكون M1 زائد M2
+
+120
+00:12:56,030 --> 00:13:01,410
+بيسـاوي M ومركز ثقل M1 و M2 هو نفس مركز ثقل الـ
+
+121
+00:13:01,410 --> 00:13:06,890
+mass اللي هو G و الـ mass متمركزة لـ M1 و M2 حول
+
+122
+00:13:06,890 --> 00:13:09,750
+G هو نفس الـ mass متمركزة للـ rigid body حول G
+
+123
+00:13:09,750 --> 00:13:14,110
+يعني هيكون عندي أول شيء مجموع الـ two masses M1
+
+124
+00:13:16,130 --> 00:13:23,870
+زائد M2 بيساوي M هي واحدة بعدين moment حول G
+
+125
+00:13:23,870 --> 00:13:39,050
+M1 L1 بيساوي M2 M2 L2  المعنى M2 بيساوي M1 L1
+
+126
+00:13:39,050 --> 00:13:50,000
+على L2 عوض في هذه المعادلة M1 زائد M2 اللي هو M1 الـ L1
+
+127
+00:13:50,000 --> 00:13:58,200
+على L2 اللي هيبقى إيه؟ اللي هيبقى  M ناقص M1
+
+128
+00:13:58,200 --> 00:14:07,840
+بيسـاوي M لو أخدت M1 عامل مشترك بيصير 1 زائد L1
+
+129
+00:14:07,840 --> 00:14:11,600
+زائد
+
+130
+00:14:11,600 --> 00:14:23,020
+L1 على M ناقص M1 بيساوي M أخذنا هنا M ناقص M
+
+131
+00:14:23,020 --> 00:14:31,100
+1 طيب
+
+132
+00:14:31,100 --> 00:14:35,540
+الآن هعمل Simplification  للمعادلة في الآخر أن
+
+133
+00:14:35,540 --> 00:14:39,460
+M1 بيساوي
+
+134
+00:14:39,460 --> 00:14:43,940
+L2 على
+
+135
+00:14:45,430 --> 00:14:52,770
+على 1 زائد L2 في M و الـ M2 هتكون
+
+136
+00:14:52,770 --> 00:14:59,310
+بيسـاوي L1 في M على 1 زائد L2 ليه هذه
+
+137
+00:14:59,310 --> 00:15:05,970
+العلاقات؟ هتطلع عندي M1 بيساوي L2 في M
+
+138
+00:15:05,970 --> 00:15:08,570
+على 1 زائد L2 و M2 بيساوي L1
+
+139
+00:15:08,570 --> 00:15:12,150
+في M على 1 زائد L2 إذا حاولت تجمعهم هتطلع
+
+140
+00:15:12,150 --> 00:15:14,370
+فعلاً M1 زائد M2 بيساوي M
+
+141
+00:15:19,620 --> 00:15:25,860
+الآن الـ total moment of inertia حول حول
+
+142
+00:15:25,860 --> 00:15:37,120
+نقطة G للكتلة الكلية هيكون M1 L1 تربيع زائد M2 L2
+
+143
+00:15:37,120 --> 00:15:44,700
+تربيع بيساوي M KG تربيع
+
+144
+00:15:46,800 --> 00:15:57,400
+لأن M1 اللي هي عبارة عن L2 M على L1 زائد L2 زائد
+
+145
+00:15:57,400 --> 00:16:04,820
+طبعاً في L1 تربيع زائد L2
+
+146
+00:16:04,820 --> 00:16:18,910
+زائد L1 على L1 زائد L2 في M L2 تربيع بيساوي M KG تربيع
+
+147
+00:16:18,910 --> 00:16:27,630
+نختصر M من الطرفين ونأخذ L1
+
+148
+00:16:27,630 --> 00:16:30,670
+L2
+
+149
+00:16:30,670 --> 00:16:39,850
+عامل مشترك بيصفي عندي وعلى L1 زائد L2 عندي L2
+
+150
+00:16:39,850 --> 00:16:47,500
+بيصير عندي L1 زائد L2 بيساوي KG تربيع يعني هيروح
+
+151
+00:16:47,500 --> 00:16:56,980
+هذا مع هذا بيصفي عندي L1 L2 بيساوي KG تربيع معناته
+
+152
+00:16:56,980 --> 00:17:02,400
+for the two mass system M1 M2 to be dynamically
+
+153
+00:17:02,400 --> 00:17:05,720
+equivalent to the total mass M of the rigid body
+
+154
+00:17:05,720 --> 00:17:11,740
+لازم يكون عندهمجموعة الـ M1 زائد M2 بيساوي M والـ
+
+155
+00:17:11,740 --> 00:17:14,780
+moment of inertia لـ  M1 M2 حوالي G هي نفسها
+
+156
+00:17:14,780 --> 00:17:19,900
+الـ moment of inertia للـ total mass حوالي G و الـ
+
+157
+00:17:19,900 --> 00:17:26,480
+center of gravity لـ  M1 M2 هو نفسه G الآن
+
+158
+00:17:26,480 --> 00:17:29,380
+الثلاثة شروط هتعطينا ثلاثة معادلات ثانية هتطلع عندي M1
+
+159
+00:17:29,380 --> 00:17:34,220
+بيسـاوي L2 في M على L1 زائد L2 و M2 بيساوي L1 M على
+
+160
+00:17:34,220 --> 00:17:38,000
+L1 زائد L2 و L1 L2 هتطلع عندنا بيساوي KG تربيع
+
+161
+00:17:47,510 --> 00:17:48,910
+طيب
+
+162
+00:18:09,300 --> 00:18:13,360
+الآن graphically عشان أجد الـ equivalent mass
+
+163
+00:18:13,360 --> 00:18:23,100
+system  هاي الـ mass الكلية M هاي مركز ثقل G
+
+164
+00:18:23,100 --> 00:18:30,160
+ضع كتلة على مسافة L1 هذه M1 و L
+
+165
+00:18:30,160 --> 00:18:32,100
+1 من  G
+
+166
+00:18:35,330 --> 00:18:40,430
+الآن بعمل خط عمودي لأن عندي هذا الخط الأفقي بعمل
+
+167
+00:18:40,430 --> 00:18:47,430
+عندي الـ  point بعمل خط عمودي على الخط الأفقي طوله
+
+168
+00:18:47,430 --> 00:18:57,510
+طول هذا الخط بيساوي KG بعدين بوصل M1 مع نقطة C
+
+169
+00:18:57,510 --> 00:19:06,480
+بعدين بعمل عمودي على AC عمودي لحد ما يتقطع مع الخط
+
+170
+00:19:06,480 --> 00:19:15,600
+الأفقي بيعطيني الـ location of M2 هذه بتكون L2 طبعاً
+
+171
+00:19:15,600 --> 00:19:26,260
+L1 في L2 بتساوي KG تربيع يعني
+
+172
+00:19:26,260 --> 00:19:30,220
+أنا ممكن أثبتها ببساطة هذه أنا عندي
+
+173
+00:19:35,120 --> 00:19:39,880
+KG تربيع بتساوي
+
+174
+00:19:39,880 --> 00:19:47,360
+اللي هو AC تربيع ناقص
+
+175
+00:19:47,360 --> 00:19:53,160
+الـ L1 تربيع أو
+
+176
+00:19:53,160 --> 00:20:02,500
+بتساوي برضه BC تربيع ناقص L2 تربيع
+
+177
+00:20:05,400 --> 00:20:10,140
+يعني الـ L1 تربيع يعني بعمل simplification
+
+178
+00:20:10,140 --> 00:20:16,140
+للمعادلة هذه هيطلع في الآخر أن دي KG تربيع
+
+179
+00:20:16,140 --> 00:20:26,240
+بيسـاوي L1 في L2 يعني as a homework prove
+
+180
+00:20:26,240 --> 00:20:35,040
+prove هذه العلاقة prove it شغل بيت  
+
+181
+00:20:37,430 --> 00:20:41,990
+معناته is I can replace a rigid body by a two mass
+
+182
+00:20:41,990 --> 00:20:45,570
+system that is dynamically equivalent to the rigid
+
+183
+00:20:45,570 --> 00:20:49,450
+body عشان يكون dynamically equivalent لازم ثلاثة
+
+184
+00:20:49,450 -->
+
+223
+00:24:45,720 --> 00:24:52,840
+تربيع على خمسة عشر يطلع
+
+224
+00:24:52,840 --> 00:24:55,920
+بالمعنى تحسن عند الواحد اللي هي الواحد اللي هي
+
+225
+00:24:55,920 --> 00:25:02,000
+متين في الاثنين بالسوقياجي تربيع اللي هي سبعة
+
+226
+00:25:02,000 --> 00:25:10,840
+تلاف على خمسة عشر يعني أقل اثنين هتكون السابع
+
+227
+00:25:10,840 --> 00:25:17,650
+وهيروح السفر طبعا مع السفر ها سفرين على الخمسة
+
+228
+00:25:17,650 --> 00:25:26,110
+أربعة عشر على الخمسة فيها ثلاثة على الاثنين فيها واحد
+
+229
+00:25:26,110 --> 00:25:34,130
+على الاثنين فيها سبعة أنا أقل اثنين تطلع
+
+230
+00:25:34,130 --> 00:25:38,490
+سبعة على
+
+231
+00:25:38,490 --> 00:25:43,850
+ثلاثة مليمترات تحسبها
+
+232
+00:26:07,740 --> 00:26:19,280
+تطلع الـ two point ثلاثة millimeters
+
+233
+00:26:19,280 --> 00:26:31,260
+هذا أقل اثنين طيب الـ M واحد الـ M واحد هتكون اللي
+
+234
+00:26:31,260 --> 00:26:39,830
+هي هتكون أقل اثنين في M أقل واحد زاد أقل اثنين يعني
+
+235
+00:26:39,830 --> 00:26:45,110
+هتكون أقل اثنين اللي هي اثنين point ثلاثة ثلاثة
+
+236
+00:26:45,110 --> 00:26:54,490
+في الماس خمسة عشر على الواحد اللي هو متين زاد اثنين
+
+237
+00:26:54,490 --> 00:26:55,650
+point ثلاثة ثلاثة
+
+238
+00:27:13,900 --> 00:27:21,020
+بتطلع point واحد سبعة point واحد سبعة ثلاثة
+
+239
+00:27:21,020 --> 00:27:30,120
+kilograms الـ M اثنين هتكون الـ M الـ M ناقص M واحد
+
+240
+00:27:30,120 --> 00:27:34,460
+ال
+
+241
+00:27:34,460 --> 00:27:42,480
+M اللي هي خمسة عشر ناقص point واحد سبعة ثلاثة
+
+242
+00:27:49,020 --> 00:27:59,700
+هتطلع أربعة عشر point ثمانية اثنين سبعة معناته
+
+243
+00:27:59,700 --> 00:28:05,080
+أنا ممكن الـ connecting rod هذا اللي وزنه سبعمئة
+
+244
+00:28:05,080 --> 00:28:09,940
+كيلو جرام و مركز ثقله هنا على بعد متين ملي من مركز
+
+245
+00:28:09,940 --> 00:28:15,540
+الدائرة هذه استبدله ب two masses, one mass at this
+
+246
+00:28:15,540 --> 00:28:23,570
+end قيمتها point واحد سبعة ثلاثة kilograms, one mass
+
+247
+00:28:23,570 --> 00:28:28,130
+هنا على بعد اثنين point ثلاثة millimeters قيمتها
+
+248
+00:28:28,130 --> 00:28:34,530
+أربعة عشر point ثمانية اثنين سبعة kilograms هذا ال
+
+249
+00:28:34,530 --> 00:28:37,970
+two masses M واحد و M اثنين are dynamically
+
+250
+00:28:37,970 --> 00:28:43,770
+equivalent to this connecting rod connecting ماشي
+
+251
+00:28:43,770 --> 00:28:46,890
+شوف
+
+252
+00:28:46,890 --> 00:28:47,630
+مثال ثاني
+
+253
+00:29:09,490 --> 00:29:17,170
+عند الـ connecting rod تم تعليقه على بعد خمسة وعشرين مليمتر يعني تم تعليقه من هنا
+
+254
+00:29:17,170 --> 00:29:19,370
+مليمتر يعني تم تعليقه من هنا
+
+255
+00:29:31,990 --> 00:29:35,430
+above the center of the small end and ستمائة وخمسين
+
+256
+00:29:35,430 --> 00:29:39,190
+مليمتر above its center of gravity يعني
+
+257
+00:29:39,190 --> 00:29:46,830
+هذه المسافة هذه H و
+
+258
+00:29:46,830 --> 00:29:52,550
+هذه الـ center of gravity H
+
+259
+00:29:52,550 --> 00:29:57,450
+بالمسافة ستمائة
+
+260
+00:29:57,450 --> 00:30:00,370
+وخمسين مليمتر
+
+261
+00:30:03,630 --> 00:30:06,170
+its mass being سبعة وثلاثين ونصف كيلو جرام ال
+
+262
+00:30:06,170 --> 00:30:11,030
+mass بتاعة الـ connecting rod سبعة وثلاثين ونصف
+
+263
+00:30:11,030 --> 00:30:15,690
+كيلو جرام و
+
+264
+00:30:15,690 --> 00:30:19,050
+أن permitted to oscillate أنا علقته من هنا و
+
+265
+00:30:19,050 --> 00:30:24,190
+خليته يتمرجح يمين شمال و أن permitted to oscillate
+
+266
+00:30:24,190 --> 00:30:27,390
+time period is found to be one point eight seven
+
+267
+00:30:27,390 --> 00:30:29,030
+seconds الـ periodic time
+
+268
+00:30:33,980 --> 00:30:42,960
+بالمسافة one point eight seven seconds find
+
+269
+00:30:42,960 --> 00:30:47,300
+dynamical equivalent system constituting of two
+
+270
+00:30:47,300 --> 00:30:50,060
+masses one of which is located at the small end
+
+271
+00:30:50,060 --> 00:30:53,400
+center أوجد dynamical equivalent system مكون من
+
+272
+00:30:53,400 --> 00:30:56,360
+two masses أحد الـ masses جاية في الـ center هنا
+
+273
+00:31:00,130 --> 00:31:03,910
+طيب أنا عشان أجيب dynamic equivalent .. عشان أجيب
+
+274
+00:31:03,910 --> 00:31:08,270
+dynamic .. أجيب dynamic equivalent .. أجيب two
+
+275
+00:31:08,270 --> 00:31:11,830
+masses dynamic equivalent system محتاج أعرف الـ
+
+276
+00:31:11,830 --> 00:31:17,790
+radius of gyration KG الـ KG كيف هعرفه هو معطيني الـ
+
+277
+00:31:17,790 --> 00:31:22,670
+predict time predict time عندي TP نرجع للمعادلات
+
+278
+00:31:22,670 --> 00:31:27,250
+هنا الـ pendulum predict time TP
+
+279
+00:31:34,790 --> 00:31:39,850
+بالمسافة اثنين باي الجذر
+
+280
+00:31:39,850 --> 00:31:53,050
+التربيعي لـ KG تربيع زائد H تربيع على GH يعني
+
+281
+00:31:53,050 --> 00:31:59,890
+لو ربعت الطرفين هأصل إلى TP تربيع
+
+282
+00:31:59,890 --> 00:32:10,250
+على أربعة باي تربيع يساوي KG تربيع زائد H تربيع على GH
+
+283
+00:32:10,250 --> 00:32:19,330
+يعني
+
+284
+00:32:19,330 --> 00:32:28,410
+أنا هأقول أن دي TB تربيع في GH على أربعة باي تربيع
+
+285
+00:32:28,410 --> 00:32:41,190
+يساوي KG تربيع زائد H تربيع معناته KG تربيع حيث هو
+
+286
+00:32:41,190 --> 00:32:51,550
+TP تربيع GH على أربعة باي تربيع ناقص H تربيع حيث
+
+287
+00:32:51,550 --> 00:32:56,930
+ساوي الـ period of time يعطيني one point eight seven
+
+288
+00:32:56,930 --> 00:33:03,890
+تربيع الـ TP اللي هي تسعة point ثمانية صفر ستة الـ H
+
+289
+00:33:03,890 --> 00:33:10,170
+معطيني إياها اللي هي ستمائة وخمسين يعني point ستة خمسة
+
+290
+00:33:10,170 --> 00:33:23,780
+على أربعة باي تربيع ناقص point ستة خمسة تربيع ومنها
+
+291
+00:33:23,780 --> 00:33:34,160
+أحسب الـ KG تربيع يعني أنا هأقول عن ده one
+
+292
+00:33:34,160 --> 00:33:35,440
+point eight seven
+
+293
+00:33:56,760 --> 00:34:02,460
+يعني هيكون point خمسة ستة
+
+294
+00:34:02,460 --> 00:34:08,880
+خمسة اثنين ناقص ناقص
+
+295
+00:34:08,880 --> 00:34:17,460
+point ستة خمسة في point ستة خمسة بتطلع point واحد
+
+296
+00:34:17,460 --> 00:34:24,460
+point واحد أربعة اثنين سبعة هذه KG تربيع
+
+297
+00:34:43,590 --> 00:34:50,570
+طيب الآن الـ L واحد أنا هستبدل هذا الجسم بكتلتين
+
+298
+00:34:50,570 --> 00:34:53,890
+كتلة جاية في المركزين وكتلة مكان ثاني هأحسبه
+
+299
+00:34:53,890 --> 00:35:00,470
+معناته الـ L واحد هتكون تساوي الـ L واحد الـ
+
+300
+00:35:00,470 --> 00:35:06,950
+L واحد هتكون ستمائة وخمسين ناقص خمسة وعشرين
+
+301
+00:35:06,950 --> 00:35:17,010
+هتكون ستمائة وخمسة وعشرين مليمتر لأن
+
+302
+00:35:17,010 --> 00:35:24,890
+L واحد L اثنين يساوي KG تربيع أنا
+
+303
+00:35:24,890 --> 00:35:29,370
+هأقول إن L اثنين هتكون تساوي KG تربيع اللي هي
+
+304
+00:35:29,370 --> 00:35:34,890
+point واحد أربعة اثنين سبعة على الـ L واحد اللي هي
+
+305
+00:35:34,890 --> 00:35:44,270
+point ستة اثنين خمسة  وبنقسم L اثنين على تقسيم
+
+306
+00:35:44,270 --> 00:35:56,630
+point ستة اثنين خمسة هيكون point اثنين اثنين تسعة
+
+307
+00:35:56,630 --> 00:36:04,630
+متر يعني متين وتسعة وعشرين مليمتر
+
+308
+00:36:14,260 --> 00:36:18,860
+يعني أنا حاسس إن عندي كتلة هين جاية عندي هين M
+
+309
+00:36:18,860 --> 00:36:27,160
+واحد هين M اثنين هاد هتكون متين وخمسة وعشرين
+
+310
+00:36:27,160 --> 00:36:36,780
+ملي لما بتحسب قيم الكتل الـ M واحد تساوي L اثنين
+
+311
+00:36:36,780 --> 00:36:44,000
+على L واحد زائد L اثنين في M  الـ L اثنين هي مائة وتسعة
+
+312
+00:36:44,000 --> 00:36:49,300
+وعشرين على ستمائة وخمسة وعشرين زائد مائة و
+
+313
+00:36:49,300 --> 00:36:54,140
+تسعة وعشرين في الـ M التي هي سبعة وثلاثين ونصف
+
+314
+00:36:54,140 --> 00:37:04,140
+والـ M اثنين هتكون تساوي M ناقص M واحد الـ M واحد هنا حسبناها
+
+315
+00:37:04,140 --> 00:37:05,220
+مائة وتسعة وعشرين
+
+316
+00:37:25,120 --> 00:37:34,140
+بتطلع الـ M واحد عشرة point أو خمسة ستة kilograms يعني
+
+317
+00:37:34,140 --> 00:37:41,120
+الـ M اثنين هتكون سبعة وثلاثين ونصف ناقص عشرة point أو
+
+318
+00:37:41,120 --> 00:37:44,280
+خمسة ستة بتطلع
+
+319
+00:37:48,750 --> 00:37:55,550
+سبعة وثلاثين ونصف ناقص عشرة point صفر خمسة
+
+320
+00:37:55,550 --> 00:38:03,030
+ستة تطلع سبعة وعشرين point أربعة أربعة
+
+321
+00:38:03,030 --> 00:38:08,530
+kilograms معناته
+
+322
+00:38:08,530 --> 00:38:13,590
+الـ rigid body هذا ممكن استبداله this rigid body can
+
+323
+00:38:13,590 --> 00:38:19,570
+be replaced by two masses, one located at this small
+
+324
+00:38:19,570 --> 00:38:28,410
+end M واحد قيمتها 10.056 على بعد 625 من مركز الثقل
+
+325
+00:38:28,410 --> 00:38:34,050
+625 مليمتر another mass M اثنين قيمتها 27.44 كيلو جرام
+
+326
+00:38:34,050 --> 00:38:38,330
+على بعد 229 مليمتر من مركز الثقل هذا الـ two mass
+
+327
+00:38:38,330 --> 00:38:42,150
+system M واحد و M اثنين بيكون dynamically equivalent لـ total
+
+328
+00:38:42,150 --> 00:38:44,850
+mass of the connecting rod
+
+329
+00:38:47,850 --> 00:38:50,490
+طبعا في المحاضرة القادمة هنشوف إيش فائدة الكلام هذا
+
+330
+00:38:50,490 --> 00:38:55,750
+إيه طبعا إيه ميزة وفائدة نكتفي اليوم بالمحاضرة
+
+331
+00:38:55,750 --> 00:38:59,530
+القادمة بنكمل باقي الأمثلة بتوقع تحلوها أنتم و
+
+332
+00:38:59,530 --> 00:39:00,970
+المعيد معا بعض
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2ElWa7oOPU0_postprocess.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2ElWa7oOPU0_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..07db8f7f5d85c4af6199f340ed88b5951bcd4e2c
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2ElWa7oOPU0_postprocess.srt
@@ -0,0 +1,1328 @@
+1
+00:00:04,990 --> 00:00:08,530
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,530 --> 00:00:13,970
+وبركاته اليوم هنكمل الحسابات ال slotted crank
+
+3
+00:00:13,970 --> 00:00:18,590
+mechanism في المحاضرتين السابقتين عملنا حسبنا ال
+
+4
+00:00:18,590 --> 00:00:21,150
+velocity و ال acceleration و ال position لل piston
+
+5
+00:00:21,550 --> 00:00:25,370
+حسبنا ال .. ال .. anger velocity و anger
+
+6
+00:00:25,370 --> 00:00:29,150
+acceleration لل connecting rod و بعدين عملنا force
+
+7
+00:00:29,150 --> 00:00:33,050
+analysis حسبنا ال piston effort حكينا ال piston
+
+8
+00:00:33,050 --> 00:00:37,450
+effort هو net force along the line of stroke due
+
+9
+00:00:37,450 --> 00:00:43,990
+to .. حكينا ال F P بيستوى ال F L minus plus F I
+
+10
+00:00:43,990 --> 00:00:48,530
+minus ال friction force في حالة horizontal engine
+
+11
+00:00:51,050 --> 00:00:55,710
+اليوم هنكمل اول شي هنتعرف على فكرة جديدة هي ال
+
+12
+00:00:55,710 --> 00:00:59,330
+compound pendulum انا عندي هنا مبين عندي rigid
+
+13
+00:00:59,330 --> 00:01:09,490
+body معلق من نقطة a هذا
+
+14
+00:01:09,490 --> 00:01:16,730
+مركز ثقة لل rigid bodymarket psychology والمسافة
+
+15
+00:01:16,730 --> 00:01:24,030
+من نقطة التعليق o لmarket psychology هي h الان
+
+16
+00:01:24,030 --> 00:01:26,970
+عملنا small displacement small angular
+
+17
+00:01:26,970 --> 00:01:31,770
+displacement لل rigid body بمقدار
+
+18
+00:01:31,770 --> 00:01:40,210
+زاوية theta طبعا في الوزن مؤثر لتحت وزن ال rigid
+
+19
+00:01:40,210 --> 00:01:40,530
+body
+
+20
+00:01:44,070 --> 00:01:50,430
+اللي هو الوزن M في G الوزن ممكن احاوله احلله لو
+
+21
+00:01:50,430 --> 00:01:55,650
+مركبة تجاهي المركب في اتجاه ال O G اللي هي هتكون M
+
+22
+00:01:55,650 --> 00:02:01,670
+G Cos
+
+23
+00:02:01,670 --> 00:02:09,910
+θ المركبة عمودية
+
+24
+00:02:09,910 --> 00:02:12,650
+على ال O G اللي هي M G
+
+25
+00:02:17,470 --> 00:02:22,910
+sine theta ال
+
+26
+00:02:22,910 --> 00:02:27,950
+KG هو ال rates of gyration about G KG ال rates of
+
+27
+00:02:27,950 --> 00:02:32,290
+gyration حوالين ال G لو أخدت ال moment حوالين O
+
+28
+00:02:32,290 --> 00:02:37,830
+summation حوالين
+
+29
+00:02:37,830 --> 00:02:48,790
+O هز يكون سوء I Oفي Alpha طبعا
+
+30
+00:02:48,790 --> 00:02:56,750
+ال Mg cos θ بتعملش moment ال Mg هيكون دي معناته Mg
+
+31
+00:02:56,750 --> 00:03:09,690
+sin θ بسوء ال I O ال I O هتكون ال
+
+32
+00:03:09,690 --> 00:03:11,710
+moment of inertia حوالين ال G IG
+
+33
+00:03:14,890 --> 00:03:22,610
+زاد ال mass في H تربيع وال I G اللي هي M هبقى قرا
+
+34
+00:03:22,610 --> 00:03:25,970
+عن ال
+
+35
+00:03:25,970 --> 00:03:31,630
+mass في ال rates of gyration KG تربيع زاد M في H
+
+36
+00:03:31,630 --> 00:03:40,710
+تربيع يعني هتكون M في KG تربيع زاد H تربيع يعني ال
+
+37
+00:03:40,710 --> 00:03:49,880
+M G sin θ هتكون ال I O اللي هي Mم في KG تربيه زاد
+
+38
+00:03:49,880 --> 00:03:56,560
+H تربيه في الفة for small for small angle
+
+39
+00:03:56,560 --> 00:04:03,300
+displacement for small for small theta يكون
+
+40
+00:04:03,300 --> 00:04:08,420
+دي sign theta تقريبا بتساوي theta يعني ممكن احكي
+
+41
+00:04:08,420 --> 00:04:12,640
+انا MG theta
+
+42
+00:04:16,460 --> 00:04:27,660
+بتساوي M في KG تربية زاد H تربية في Alpha يعني ال
+
+43
+00:04:27,660 --> 00:04:34,440
+M بتروح مع ال M يعني
+
+44
+00:04:34,440 --> 00:04:38,200
+ثتة على Alpha هالسيرة دي
+
+45
+00:04:43,350 --> 00:04:50,390
+الثيتا على الفا هتكون
+
+46
+00:04:50,390 --> 00:05:00,790
+سوى كي جي تربيه زاد اتش تربيه على جي الزمن
+
+47
+00:05:00,790 --> 00:05:05,610
+الدوري لل oscillation رايح جاي هصيرله periodic
+
+48
+00:05:05,610 --> 00:05:06,270
+time
+
+49
+00:05:10,410 --> 00:05:21,190
+هيكون يستوى اللي هو اتنين باى الجزر التربيعى لثيتا
+
+50
+00:05:21,190 --> 00:05:23,010
+على الفا
+
+51
+00:05:27,020 --> 00:05:33,360
+يعني هيكون ازاوية TP ازاوية اتنين by الجزر
+
+52
+00:05:33,360 --> 00:05:42,400
+التربيعي θ على الف ل KG تربيع زاد H تربيع على G
+
+53
+00:05:42,400 --> 00:05:49,380
+الآن يعني ممكن ألخص الموضوع ببساطة بحكي إذا عندي
+
+54
+00:05:49,380 --> 00:05:58,390
+جسم إذا عندي جسمشكله ثلاثة شكله مكلقع شكله مكلقع
+
+55
+00:05:58,390 --> 00:06:04,730
+يعني أجيب صخرة مثلا و عايز أعرف ال moment of
+
+56
+00:06:04,730 --> 00:06:09,730
+inertia بتاعتها و لا أبسط من هيك بعمل مثلا ثقب في
+
+57
+00:06:09,730 --> 00:06:16,710
+الجسم و بعلكه بحط مصمار هنا و بعدين بعمل بحرك بلفه
+
+58
+00:06:16,710 --> 00:06:22,230
+بزاوية theta و بسيبهاش to oscillate لأن في عندى
+
+59
+00:06:22,230 --> 00:06:27,090
+oscillationو بحسب اللي بحسب مثلا بعدي مثلا عشرة او
+
+60
+00:06:27,090 --> 00:06:29,130
+عشرة هو عشرة oscillation بشوف أكتر عشرة
+
+61
+00:06:29,130 --> 00:06:32,290
+oscillation أكتر ماخد وقت بقسم على عشرة بحسب الزمن
+
+62
+00:06:32,290 --> 00:06:40,050
+الدوري حسبت الزمن الدوري و أنا عارف G عارف G وعارف
+
+63
+00:06:40,050 --> 00:06:48,640
+H عارف H عارف H بحسب Hال KG يعني بحسب الزمن الدوري
+
+64
+00:06:48,640 --> 00:06:54,680
+بحسب ال K ال KG حسبة ال KG ال IG بيستوي M في KG
+
+65
+00:06:54,680 --> 00:06:58,660
+تربيع يعني أحد أحد الطرق لحساب ال rates of
+
+66
+00:06:58,660 --> 00:07:02,700
+gyration أو حساب ال moment of inertia ل rigid body
+
+67
+00:07:02,700 --> 00:07:09,260
+حوالين مركز ثقاله يعني حكينا الزمن الدوري اللي هو
+
+68
+00:07:10,340 --> 00:07:12,740
+periodic time بيساوي اتنين بقى جزء تربيه على ك ج
+
+69
+00:07:12,740 --> 00:07:19,980
+تربيه و زد ه تربيه على ج في ه او
+
+70
+00:07:19,980 --> 00:07:29,480
+ج هد في ه طيب
+
+71
+00:07:29,480 --> 00:07:35,000
+الان
+
+72
+00:07:35,000 --> 00:07:39,280
+لو اخدت بندول عادي اخدت بندول بندول اللي احنا
+
+73
+00:07:39,280 --> 00:07:39,880
+بنعرفه
+
+74
+00:07:44,030 --> 00:07:52,390
+هذه حبل و في كتلة هنا وهذه
+
+75
+00:07:52,390 --> 00:08:00,830
+الزاوية ثيتا هيكون البدرة اللي عندى مج مج
+
+76
+00:08:00,830 --> 00:08:14,040
+مج مج مج مج مج مج مج مج مج مجالـ Torque حوالين O
+
+77
+00:08:14,040 --> 00:08:29,340
+الـ Torque هيكون سواء MG في L هذا طوله L Sine
+
+78
+00:08:29,340 --> 00:08:40,000
+Theta بسوء I Oفى alpha for small theta حسينا دى
+
+79
+00:08:40,000 --> 00:08:52,360
+MGL فى theta بالساوية ال I O هتكون M L square فى
+
+80
+00:08:52,360 --> 00:08:59,620
+alpha يعني ال theta على الفا بتساوي
+
+81
+00:09:03,320 --> 00:09:11,620
+هذا الـ L مع L و M مع M هيكون L على G و الزمن
+
+82
+00:09:11,620 --> 00:09:17,260
+الدوري الـ Tv هيكون 2 Pi الجزر التربيعي لـ Theta
+
+83
+00:09:17,260 --> 00:09:22,900
+على Alpha يعني هتكون الـ Tv لـ لـ Simple pendulum
+
+84
+00:09:22,900 --> 00:09:32,020
+هتكون 2 Pi الجزر التربيعي لل L على
+
+85
+00:09:34,820 --> 00:09:39,420
+G خلّين نقارن عند هذا for simple pendulum for
+
+86
+00:09:39,420 --> 00:09:44,500
+simple pendulum ال T P لل symbol pendulum هتكون
+
+87
+00:09:44,500 --> 00:09:54,940
+تستوى اتنين by الجزر التربيعي ل L L
+
+88
+00:09:54,940 --> 00:10:02,200
+على G لاحظوا هتلاحظوا القاتل هذا
+
+89
+00:10:05,680 --> 00:10:14,380
+تقريبا ال ال capital هتكون سوى كي جي تربية زاد اتش
+
+90
+00:10:14,380 --> 00:10:19,280
+تربية على اتش
+
+91
+00:10:23,010 --> 00:10:25,510
+معناته ال equivalent length of a simple pendulum
+
+92
+00:10:25,510 --> 00:10:27,810
+which gives the same frequency as compound
+
+93
+00:10:27,810 --> 00:10:31,830
+pendulum لكون ال length هتكون أقل بالساوية كيجي
+
+94
+00:10:31,830 --> 00:10:34,810
+تربيه زي H تربيه على H يعني كيجي تربيه على H زائد
+
+95
+00:10:34,810 --> 00:10:35,290
+H
+
+96
+00:10:50,850 --> 00:10:56,710
+طيب لان هنشوف كيف نوجد equivalent rigid .. كيف
+
+97
+00:10:56,710 --> 00:11:00,890
+ممكن أستبدل .. أستبدل rigid body ب two masses بحيث
+
+98
+00:11:00,890 --> 00:11:03,790
+ال effect بتاع ال two masses يكون نفس ال effect لل
+
+99
+00:11:03,790 --> 00:11:09,170
+.. لل .. لل rigid body احنا حكيها to determine
+
+100
+00:11:09,170 --> 00:11:11,790
+motion of a rigid body it is convenient to replace
+
+101
+00:11:11,790 --> 00:11:14,170
+the rigid body by two masses placed at fixed
+
+102
+00:11:14,170 --> 00:11:19,310
+distance apart such that أنا ممكن أستبدل جسم ..
+
+103
+00:11:19,310 --> 00:11:26,280
+جسمأستبدله ب two masses بحيث
+
+104
+00:11:26,280 --> 00:11:29,780
+يكون ال sum of the two masses بالسواء ال total
+
+105
+00:11:29,780 --> 00:11:33,820
+mass لل rigid body و ال center of gravity لل two
+
+106
+00:11:33,820 --> 00:11:36,740
+masses يتطابق مع ال center of gravity لل rigid
+
+107
+00:11:36,740 --> 00:11:41,020
+body و ال sum of mass متفنرشة لل two masses
+
+108
+00:11:41,020 --> 00:11:44,680
+بالسواء ال mass متفنرشة لل rigid body على نحو
+
+109
+00:11:44,680 --> 00:11:45,880
+التالي أنا عندي هذا الجسم
+
+110
+00:11:49,290 --> 00:11:55,250
+هذا الوضع كتلة M هذا
+
+111
+00:11:55,250 --> 00:12:02,250
+مركز تيكولوجي و
+
+112
+00:12:02,250 --> 00:12:08,430
+كتلة H M بدي
+
+113
+00:12:08,430 --> 00:12:15,670
+أستبدل الاتنين مجموعات واحدة مجموعة M
+
+114
+00:12:15,670 --> 00:12:26,010
+واحدةone mass at B كتلتها M اتنين المسافة بين M و
+
+115
+00:12:26,010 --> 00:12:32,290
+M واحد الواحد وهين الاتنين والمسافة الكلية بين ال
+
+116
+00:12:32,290 --> 00:12:37,530
+two masses ال capital الان
+
+117
+00:12:37,530 --> 00:12:42,730
+اللي سويته انا هي عندي rigid body حكيت بدي احط
+
+118
+00:12:42,730 --> 00:12:48,390
+مكافئلهالـ rigid body ال mass بتاعته M بدي احطله
+
+119
+00:12:48,390 --> 00:12:56,030
+مكافئله two masses M1 و M2 بحيث ان يكون M1 زاد M2
+
+120
+00:12:56,030 --> 00:13:01,410
+بالساوية M و مركز ثقل M1 و M2 هو نفس مركز ثقل ال
+
+121
+00:13:01,410 --> 00:13:06,890
+mass اللي هو G و ال mass متفنرشة ل M1 و M2 حوالين
+
+122
+00:13:06,890 --> 00:13:09,750
+G هو نفس ال mass متفنرشة لل rigid body حوالين G
+
+123
+00:13:09,750 --> 00:13:14,110
+يعني هيكون عنده اول شي ال sum of the two masses M1
+
+124
+00:13:16,130 --> 00:13:23,870
+زاد M2 بالساوية M هي واحدة بعدين moment حوالين جيه
+
+125
+00:13:23,870 --> 00:13:39,050
+M1 L1 بالساوية M2 M2 L2 المعنية M2 بالساوية M1 L1
+
+126
+00:13:39,050 --> 00:13:50,000
+على M2 عوض في هذه المقال M1زاد M2 اللي هو M1 ال L1
+
+127
+00:13:50,000 --> 00:13:58,200
+على M2 اللي هيبقى عن إيه؟ اللي هيبقى عن M minus M1
+
+128
+00:13:58,200 --> 00:14:07,840
+بساوي M لو أخدت M1 عامل مشترك بيصير واحد زاد L1
+
+129
+00:14:07,840 --> 00:14:11,600
+زاد
+
+130
+00:14:11,600 --> 00:14:23,020
+L1على M minus M واحد بالساوي M خدنا هنا M minus M
+
+131
+00:14:23,020 --> 00:14:31,100
+واحد طيب
+
+132
+00:14:31,100 --> 00:14:35,540
+الآن هعمل Simplification خاصة المعادلة في الآخر ان
+
+133
+00:14:35,540 --> 00:14:39,460
+M واحد بالساوي
+
+134
+00:14:39,460 --> 00:14:43,940
+L اتنين على
+
+135
+00:14:45,430 --> 00:14:52,770
+على ال واحد زاد ال اتنين في M و ال M اتنين هتكون
+
+136
+00:14:52,770 --> 00:14:59,310
+سوى ال واحد في M على ال واحد زاد ال اتنين ليه هذه
+
+137
+00:14:59,310 --> 00:15:05,970
+العلاقات؟ هتطلع عنده M واحد بيسوى ال اتنين في M
+
+138
+00:15:05,970 --> 00:15:08,570
+على ال واحد زاد ال اتنين و M اتنين بيسوى ال واحد
+
+139
+00:15:08,570 --> 00:15:12,150
+في M على ال واحد زاد ال اتنين اذا حاولتش بهم تطلع
+
+140
+00:15:12,150 --> 00:15:14,370
+فعلا M واحد زاد M اتنين بيسوى M
+
+141
+00:15:19,620 --> 00:15:25,860
+الان ال total moment of inertia حوالين حوالين
+
+142
+00:15:25,860 --> 00:15:37,120
+نقطة G لتومة أساسها يكون M1 L1 تربيع زاد M2 L2
+
+143
+00:15:37,120 --> 00:15:44,700
+تربيع بالساوية M KG تربيع
+
+144
+00:15:46,800 --> 00:15:57,400
+لان M1 اللي هي عبارة عن L2 M على L1 زاد L2 زاد
+
+145
+00:15:57,400 --> 00:16:04,820
+طبعا في L1 تربيع زاد L2
+
+146
+00:16:04,820 --> 00:16:18,910
+زاد L1 على L1 زاد L2في M L2 تربيع بيسمو M KG تربيع
+
+147
+00:16:18,910 --> 00:16:27,630
+نختصر M من الطرفين و ناخد L1
+
+148
+00:16:27,630 --> 00:16:30,670
+L2
+
+149
+00:16:30,670 --> 00:16:39,850
+عامل مشترك بيصفي عنده و على L1 زاد L2 عندهين L2
+
+150
+00:16:39,850 --> 00:16:47,500
+بيصير عندهين L1زاد L2 بيساوي KG تربيع يعني هيروح
+
+151
+00:16:47,500 --> 00:16:56,980
+هذا مع هذا بصف عنده L1 L2 بيساوي KG تربيع معناته
+
+152
+00:16:56,980 --> 00:17:02,400
+for the two mass system M1 M2 to be dynamically
+
+153
+00:17:02,400 --> 00:17:05,720
+equivalent to the total mass M of the rigid body
+
+154
+00:17:05,720 --> 00:17:11,740
+لازم يكون عندهمجموعة Thomas M1 زي M2 بيستوي M و ال
+
+155
+00:17:11,740 --> 00:17:14,780
+moment of inertia ل Thomas M1 M2 حوالي G هي نفسها
+
+156
+00:17:14,780 --> 00:17:19,900
+ال moment of inertia لل total mass حوالي G و ال
+
+157
+00:17:19,900 --> 00:17:26,480
+center of gravity ل Thomas M1 M2 هو نفسه G الآن
+
+158
+00:17:26,480 --> 00:17:29,380
+التلت شروط هتعطينا تلت معدلة تانية هتطلع عند M1
+
+159
+00:17:29,380 --> 00:17:34,220
+بيستوي L2 في M على L1 زي L2 و M2 بيستوي L1 M على
+
+160
+00:17:34,220 --> 00:17:38,000
+L1 زي L2 و L1 L2 تطلع عندنا بيستوي KG تربيع
+
+161
+00:17:47,510 --> 00:17:48,910
+طيب
+
+162
+00:18:09,300 --> 00:18:13,360
+الان graphically عشان أجد ال equivalent mass
+
+163
+00:18:13,360 --> 00:18:23,100
+system هاي ال mass الكلية M هاي المركز تقل G I
+
+164
+00:18:23,100 --> 00:18:30,160
+place a mass at a distance L واحد هذه M واحد و L
+
+165
+00:18:30,160 --> 00:18:32,100
+واحد من ال mass G
+
+166
+00:18:35,330 --> 00:18:40,430
+الان بعمل خط عمودي لان عندي هذه خط الأفقه بعمل
+
+167
+00:18:40,430 --> 00:18:47,430
+عندي ال mouse بعمل خط عمودي على الخط الأفقه طوله
+
+168
+00:18:47,430 --> 00:18:57,510
+طول الخط هذا بستوي KG بعدين بوصل M1 مع نقطة C
+
+169
+00:18:57,510 --> 00:19:06,480
+بعدين بعمل عمودي على ACعمودي لحد ما اتقطع مع الخط
+
+170
+00:19:06,480 --> 00:19:15,600
+الأفقي بيعطيني ال location of M2 هذي بتكون L2 طبعا
+
+171
+00:19:15,600 --> 00:19:26,260
+L1 في L2 بتساوي KG تربيع يعني
+
+172
+00:19:26,260 --> 00:19:30,220
+انا ممكن اثبتها ببساطة هذي انا عندى
+
+173
+00:19:35,120 --> 00:19:39,880
+كيجي تربيع بتساوي
+
+174
+00:19:39,880 --> 00:19:47,360
+اللي هو AC تربيع ناقص
+
+175
+00:19:47,360 --> 00:19:53,160
+الواحد تربيع أو
+
+176
+00:19:53,160 --> 00:20:02,500
+بتساوي برضه BC تربيع minus الاتنين تربيع
+
+177
+00:20:05,400 --> 00:20:10,140
+يعني الواحد تربية يعني بعمل simplification
+
+178
+00:20:10,140 --> 00:20:16,140
+للمعادلة هذه هيطلع في الآخران دي كاجي تربية
+
+179
+00:20:16,140 --> 00:20:26,240
+بالسواء الواحد في الاتنين يعني as a homework prove
+
+180
+00:20:26,240 --> 00:20:35,040
+prove هذه علاقة prove it شغل حسب مطلتات
+
+181
+00:20:37,430 --> 00:20:41,990
+معناته is I can replace a rigid body by a two mass
+
+182
+00:20:41,990 --> 00:20:45,570
+system that is dynamically equivalent to the rigid
+
+183
+00:20:45,570 --> 00:20:49,450
+body عشان يكون dynamically equivalent لازم تلاتة
+
+184
+00:20:49,450 --> 00:20:52,290
+conditions تتحقق لازم يكون مجموع ال two masses M1
+
+185
+00:20:52,290 --> 00:20:56,670
+و M2 بستوى ال total mass M بعدين مركز ثقة لل two
+
+186
+00:20:56,670 --> 00:20:58,290
+masses حوالي ال G
+
+187
+00:21:01,080 --> 00:21:06,020
+هيكون النقطة G يعني هكون M1 L1 بيستوى M2 L2 رقم
+
+188
+00:21:06,020 --> 00:21:09,540
+تلاتة ال .. ال .. ال .. ال .. ال mass motor
+
+189
+00:21:09,540 --> 00:21:13,320
+inertia ل M1 و M2 مجموحهم بيستوى نفس ال mass motor
+
+190
+00:21:13,320 --> 00:21:16,960
+inertia ل ال .. للكتلة الكلية طبعا تلاتة الشروط
+
+191
+00:21:16,960 --> 00:21:21,540
+هذي بتترجم للمعادلات هيكون عندي M1 بيستوى L2 في M
+
+192
+00:21:22,040 --> 00:21:29,800
+على L1 زد L2 و M1 بيساوي M2 بيساوي L1 على L1 زد L2
+
+193
+00:21:29,800 --> 00:21:35,140
+في M وعند ال condition التانية اللي هي L1 L2
+
+194
+00:21:35,140 --> 00:21:38,040
+بيساوي KG تربيع ال KG هي ال rates of gyration
+
+195
+00:21:38,040 --> 00:21:41,460
+about ال G نشوف مثال
+
+196
+00:21:55,120 --> 00:22:01,600
+a connecting rod of a gasoline engine is three
+
+197
+00:22:01,600 --> 00:22:04,260
+hundred millimeters long between its center and
+
+198
+00:22:04,260 --> 00:22:08,780
+the connecting rod المسافة بين مركز A تلت ميت ميلي
+
+199
+00:22:08,780 --> 00:22:15,160
+متر it has a mass of fifteen kilogram الmass
+
+200
+00:22:15,160 --> 00:22:20,560
+بتاعته خمس عشر كيلو جرام
+
+201
+00:22:24,620 --> 00:22:31,460
+الـ mass mode of inertia الـ I حوالين الـ G بيساوي
+
+202
+00:22:31,460 --> 00:22:41,800
+سبعة تلاف كيلو جرام ملي ميتر تربيع its center of
+
+203
+00:22:41,800 --> 00:22:43,800
+gravity is at two hundred millimeters from its
+
+204
+00:22:43,800 --> 00:22:53,020
+small end مركز تقالو G واقع
+
+205
+00:22:53,020 --> 00:22:57,310
+لبعدمتين ميلي متر من ال small end هذا small end
+
+206
+00:22:57,310 --> 00:23:06,050
+جهة ال piston ال big end بتكون جهة ال crank طيب
+
+207
+00:23:06,050 --> 00:23:10,290
+determine dynamical dynamical equivalent to mass
+
+208
+00:23:10,290 --> 00:23:13,950
+system of the connecting rod if one of the masses
+
+209
+00:23:13,950 --> 00:23:17,410
+is located at the small end center اوجد ال
+
+210
+00:23:17,410 --> 00:23:21,410
+dynamical equivalent system اذا حطيت mass حطيت هنا
+
+211
+00:23:21,410 --> 00:23:22,510
+mass M1
+
+212
+00:23:26,830 --> 00:23:34,650
+هين يعني الواحد هتكون .. هتكون اللي هي متين ملي
+
+213
+00:23:34,650 --> 00:23:42,930
+ميتر والأل عبارة عن لسه ما عصبنهاش
+
+214
+00:23:45,890 --> 00:23:50,850
+الـ الواحد متين ملي متر بده تحسب dynamical ..
+
+215
+00:23:50,850 --> 00:23:54,630
+determined dynamic equivalent to mass system اذا
+
+216
+00:23:54,630 --> 00:23:57,990
+حطيت احد ال masses M واحد عند النقطة التانية هتكون
+
+217
+00:23:57,990 --> 00:24:00,530
+ال mass التانية somewhere هنا مش عارفينها هتكون
+
+218
+00:24:00,530 --> 00:24:10,590
+عند هنا M اتنين هذا الاتنين وهذا الواحد احنا
+
+219
+00:24:10,590 --> 00:24:15,290
+عارفين عارفين
+
+220
+00:24:17,810 --> 00:24:28,770
+إنه الواحد الاتنين بيساوي KG تربيع طيب ال KG تربيع
+
+221
+00:24:28,770 --> 00:24:38,250
+عبارة عن IG على M يعني هيكون ال IG اللي هي سبعة
+
+222
+00:24:38,250 --> 00:24:44,070
+تلاف kilogram millimeter
+
+223
+00:24:45,720 --> 00:24:52,840
+تربيع على خمستاش حيطلع
+
+224
+00:24:52,840 --> 00:24:55,920
+بالمعناه تحسن عند الواحد اللي هي الواحد اللي هي
+
+225
+00:24:55,920 --> 00:25:02,000
+متين في ال اتنين بالسوقياجي تربيع اللي هي سبعة
+
+226
+00:25:02,000 --> 00:25:10,840
+تلاف على خمستاش يعني القل اتنين هتكون السابع
+
+227
+00:25:10,840 --> 00:25:17,650
+وهيروح السفر طبعا مع السفر هاي سفرينعالخمسة
+
+228
+00:25:17,650 --> 00:25:26,110
+اربعتاش عالخمسة فيها ايش تلاتة عالاتنين فيها واحد
+
+229
+00:25:26,110 --> 00:25:34,130
+عالاتنين فيها ايش سبعة انا تقل اتنين تطلع
+
+230
+00:25:34,130 --> 00:25:38,490
+سبعة على
+
+231
+00:25:38,490 --> 00:25:43,850
+تلاتة مليمتر تحسبها
+
+232
+00:26:07,740 --> 00:26:19,280
+تطلع الـ two point تلاتة millimeter
+
+233
+00:26:19,280 --> 00:26:31,260
+هذا الأقل اتنين طيب ال M واحد ال M واحد هتكون اللي
+
+234
+00:26:31,260 --> 00:26:39,830
+هي هتكون أقل اتنين في M أقل واحد زاد أقل اتنينيعني
+
+235
+00:26:39,830 --> 00:26:45,110
+هتكون القل اتنين اللي هي اتنين point تلاتة تلاتة
+
+236
+00:26:45,110 --> 00:26:54,490
+في الماس خمستاش على الواحد اللي هو امتين زاد اتنين
+
+237
+00:26:54,490 --> 00:26:55,650
+point تلات تلاتة
+
+238
+00:27:13,900 --> 00:27:21,020
+بتطلع point واحد سبعة point واحد سبعة تلاتة
+
+239
+00:27:21,020 --> 00:27:30,120
+kilogram ال M اتنين هتكون ال M ال M minus M واحد
+
+240
+00:27:30,120 --> 00:27:34,460
+ال
+
+241
+00:27:34,460 --> 00:27:42,480
+M اللي هي خمستاش ناقص point واحد سبعة تلاتة
+
+242
+00:27:49,020 --> 00:27:59,700
+هتطلع اربعتاش point تمانية اتنين سبعة معناته
+
+243
+00:27:59,700 --> 00:28:05,080
+انا ممكن ال connecting rod هذا اللي وزنه سبعميت
+
+244
+00:28:05,080 --> 00:28:09,940
+كيلو جرام و مركز تقله هنا على بعد متين ملي من مركز
+
+245
+00:28:09,940 --> 00:28:15,540
+الدائرة هذه استبدله ب two masses one mass at this
+
+246
+00:28:15,540 --> 00:28:23,570
+end قيمتهاpoint one seven تلاتة kilogram one mass
+
+247
+00:28:23,570 --> 00:28:28,130
+هنا على بعد اتنين point تلاتة millimeter قيمتها
+
+248
+00:28:28,130 --> 00:28:34,530
+اربعتاش point تمانية اتنين سبعة kilogram هذا ال
+
+249
+00:28:34,530 --> 00:28:37,970
+two masses M واحد و M اتنين are dynamically
+
+250
+00:28:37,970 --> 00:28:43,770
+equivalent to this connecting rod connecting ماشي
+
+251
+00:28:43,770 --> 00:28:46,890
+شوف
+
+252
+00:28:46,890 --> 00:28:47,630
+مثال تاني
+
+253
+00:29:09,490 --> 00:29:17,170
+عند الـ connecting rod تم تعليقه على بعد خمسة و
+
+254
+00:29:17,170 --> 00:29:19,370
+عشرين مليمتر يعني تم تعليقه من هنا
+
+255
+00:29:31,990 --> 00:29:35,430
+above the center of the small end and ستمية و
+
+256
+00:29:35,430 --> 00:29:39,190
+خمسين millimeter above its center of gravity يعني
+
+257
+00:29:39,190 --> 00:29:46,830
+هذه المسافة هذي H و
+
+258
+00:29:46,830 --> 00:29:52,550
+هاي ال center of gravity H
+
+259
+00:29:52,550 --> 00:29:57,450
+بالساوية ستمية
+
+260
+00:29:57,450 --> 00:30:00,370
+و خمسين millimeter
+
+261
+00:30:03,630 --> 00:30:06,170
+its mass being سبعة و تلاتين و نص كيلو جرام ال
+
+262
+00:30:06,170 --> 00:30:11,030
+mass بتاعة ال connecting rod سبعة و تلاتين و نص
+
+263
+00:30:11,030 --> 00:30:15,690
+كيلو جرام و
+
+264
+00:30:15,690 --> 00:30:19,050
+ان permitted to oscillate انا انعلقته من هنا و
+
+265
+00:30:19,050 --> 00:30:24,190
+خلته يتمرجح يمين شمال و ان permitted to oscillate
+
+266
+00:30:24,190 --> 00:30:27,390
+time period is found to be one point eight seven
+
+267
+00:30:27,390 --> 00:30:29,030
+second ال periodic time
+
+268
+00:30:33,980 --> 00:30:42,960
+بالساوية one point eight seven second find
+
+269
+00:30:42,960 --> 00:30:47,300
+dynamical equivalent system constituting of two
+
+270
+00:30:47,300 --> 00:30:50,060
+masses one of which is located at the small n
+
+271
+00:30:50,060 --> 00:30:53,400
+center اوجد dynamical equivalent system مقام من
+
+272
+00:30:53,400 --> 00:30:56,360
+two masses احد ال masses جاية في ال center هنا
+
+273
+00:31:00,130 --> 00:31:03,910
+طيب انا عشان اجيب dynamic equivalent .. عشان اجيب
+
+274
+00:31:03,910 --> 00:31:08,270
+dynamic .. اجيب dynamic equivalent .. اجيب two
+
+275
+00:31:08,270 --> 00:31:11,830
+mass dynamic equivalent system محتاج اعرف ال
+
+276
+00:31:11,830 --> 00:31:17,790
+radius of gyration KG ال KG كيف هعرفه هو معطيني ال
+
+277
+00:31:17,790 --> 00:31:22,670
+predict time predict time عندي TP نرجع المعادلات
+
+278
+00:31:22,670 --> 00:31:27,250
+هنا ال pendulum predict time TP
+
+279
+00:31:34,790 --> 00:31:39,850
+بالساوية اتنين باي الجزر
+
+280
+00:31:39,850 --> 00:31:53,050
+التربيعي ل KG تربيع زاد H تربيع على GH يعني
+
+281
+00:31:53,050 --> 00:31:59,890
+لو ربعت الطرفين هسأل ال TP تربيع
+
+282
+00:31:59,890 --> 00:32:10,250
+على اربع بايتربيعبساوي KG تربيع زاد H تربيع على GH
+
+283
+00:32:10,250 --> 00:32:19,330
+يعني
+
+284
+00:32:19,330 --> 00:32:28,410
+انا هاكول ان دي TB تربيع في GH على اربع Pi تربيع
+
+285
+00:32:28,410 --> 00:32:41,190
+بساوي KG تربيعزاد H تربيع معناته KG تربيع حيث هو
+
+286
+00:32:41,190 --> 00:32:51,550
+TP تربيع GH على أربع بايتربيع minus H تربيع حيث
+
+287
+00:32:51,550 --> 00:32:56,930
+ساوى ال period of time يعطيني one point eightseven
+
+288
+00:32:56,930 --> 00:33:03,890
+تربية ال جي اللي هي تسعة point تمانية سفر ستة ال H
+
+289
+00:33:03,890 --> 00:33:10,170
+معطينيه اللي هي ستمية و خمسين يعني point ستة خمسة
+
+290
+00:33:10,170 --> 00:33:23,780
+على أربع بايتربية minus point ستة خمسةتربية ومنها
+
+291
+00:33:23,780 --> 00:33:34,160
+بحسب ال KG تربية يعني انا هاكل عن ده one
+
+292
+00:33:34,160 --> 00:33:35,440
+point eight seven
+
+293
+00:33:56,760 --> 00:34:02,460
+يعني هيكون point خمسة ستة
+
+294
+00:34:02,460 --> 00:34:08,880
+خمسة اتنين ناقص ناقص
+
+295
+00:34:08,880 --> 00:34:17,460
+point ستة خمسة في point ستة خمسة بتطلع point واحد
+
+296
+00:34:17,460 --> 00:34:24,460
+point واحد اربع اتنين سبعة هذه كاج تربع
+
+297
+00:34:43,590 --> 00:34:50,570
+طيب الان ال ال واحد انا هستبدل هذا الجسم بكتلتين
+
+298
+00:34:50,570 --> 00:34:53,890
+كتلة جاية في المركزين و كتلة مكان تاني هحسبه
+
+299
+00:34:53,890 --> 00:35:00,470
+معناته ال ال واحد هتكون تستوي ال ال واحد ال
+
+300
+00:35:00,470 --> 00:35:06,950
+ال واحد هتكون ستمية و خمسين ماينوس خمسة و عشرين
+
+301
+00:35:06,950 --> 00:35:17,010
+هتكون ستمية و خمسة و عشرينملي متر لأن
+
+302
+00:35:17,010 --> 00:35:24,890
+ال واحد ال اتنين بيسوى كج تربيع انا
+
+303
+00:35:24,890 --> 00:35:29,370
+هاكون دي ال ال اتنين هتكون سواء كج تربيع اللي هي
+
+304
+00:35:29,370 --> 00:35:34,890
+point واحد اربعة اتنين سبعة على ال ال واحد اللي هي
+
+305
+00:35:34,890 --> 00:35:44,270
+point ستة اتنين خمسة عصبناش ال ال اتنينعلى تقسيم
+
+306
+00:35:44,270 --> 00:35:56,630
+point six اتنين خمسة هيكون point اتنين اتنين تسعة
+
+307
+00:35:56,630 --> 00:36:04,630
+متر يعني متين وتسعة عشرين millimeter
+
+308
+00:36:14,260 --> 00:36:18,860
+يعني انا حاسس ان عندي كتلة هين جاية عندي هين M
+
+309
+00:36:18,860 --> 00:36:27,160
+واحد هين M اتنين هاد هتكون امتين و خمسة و عشرين
+
+310
+00:36:27,160 --> 00:36:36,780
+ملي لما بتحسب قيم الكتل ال M واحد بالساول L اتنين
+
+311
+00:36:36,780 --> 00:36:44,000
+على ال واحد زاد L اتنين في Mالـ L2 هي مائة و تسعة
+
+312
+00:36:44,000 --> 00:36:49,300
+و عشرين على ستة مائة و خمسة و عشرين زياد مائة و
+
+313
+00:36:49,300 --> 00:36:54,140
+تسعة و عشرين في الـ M التي هي سبعة و تلاتين و نص
+
+314
+00:36:54,140 --> 00:37:04,140
+والـ M2 هتكون ساوي M minus M1 الـ M1 هنا حسبنا
+
+315
+00:37:04,140 --> 00:37:05,220
+مائة و تسعة و عشرين
+
+316
+00:37:25,120 --> 00:37:34,140
+بتطلع ال M1 عشرة point أو خمسة ستة kilogram يعني
+
+317
+00:37:34,140 --> 00:37:41,120
+ال M2 هتكون سبعة وتلاتين و نص ناقص عشرة point أو
+
+318
+00:37:41,120 --> 00:37:44,280
+خمسة ستة بتطلع
+
+319
+00:37:48,750 --> 00:37:55,550
+عشرة سبعة و تلاتين و نص ناقص عشرة point zero خمسة
+
+320
+00:37:55,550 --> 00:38:03,030
+ستة تطلع اربع و عشرين سبعة و عشرين point اربع اربع
+
+321
+00:38:03,030 --> 00:38:08,530
+kilogram معناته
+
+322
+00:38:08,530 --> 00:38:13,590
+ال rigid body هذا ممكن استبدله this rigid body can
+
+323
+00:38:13,590 --> 00:38:19,570
+be replaced by two massesone located at this small
+
+324
+00:38:19,570 --> 00:38:28,410
+center M1 قيمتها 10.056 على بعد 625 من مركز الثقل
+
+325
+00:38:28,410 --> 00:38:34,050
+625 ميلي another mass M2 قيمتها 27.44 كيلو جرام
+
+326
+00:38:34,050 --> 00:38:38,330
+على بعد 225 ميلي متر من مركز الثقل هذا ال two mass
+
+327
+00:38:38,330 --> 00:38:42,150
+system M1 و M2 بيكون dynamical equivalent ل total
+
+328
+00:38:42,150 --> 00:38:44,850
+mass of the connecting rod
+
+329
+00:38:47,850 --> 00:38:50,490
+طبعا في المحاضرة الجاية هنشوف إيش فايدة الكلام هذا
+
+330
+00:38:50,490 --> 00:38:55,750
+إيه طبعا إيه ميزة و فايدة نكتفي اليوم المحاضرة
+
+331
+00:38:55,750 --> 00:38:59,530
+الجاية بنكمل باقى الأمثلة بتوقع تحلوها أنت و
+
+332
+00:38:59,530 --> 00:39:00,970
+المعيد مع بعض
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2ElWa7oOPU0_raw.json b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2ElWa7oOPU0_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..ffb739b71a6eb490e61aec43e94780a7ff1029cc
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2ElWa7oOPU0_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2115, "start": 4.99, "end": 21.15, "text": "بسم الله الرحمن الرحيم السلام عليكم ورحمة الله وبركاته اليوم هنكمل الحسابات ال slotted crank mechanism في المحاضرتين السابقتين عملنا حسبنا ال velocity و ال acceleration و ال position لل piston", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21136, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224, 45595, 20498, 8032, 1863, 24793, 1211, 21542, 3794, 16758, 9307, 2423, 1061, 11252, 21263, 7513, 8978, 9673, 5016, 46958, 43500, 9957, 21136, 16758, 38149, 9957, 6225, 42213, 8315, 11331, 35457, 8315, 2423, 9269, 4032, 2423, 17162, 4032, 2423, 2535, 24976, 30002], "avg_logprob": -0.14939903846153846, "compression_ratio": 1.633879781420765, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 4.99, "end": 5.71, "word": "بسم", "probability": 0.7958984375}, {"start": 5.71, "end": 5.97, "word": " الله", "probability": 0.96875}, {"start": 5.97, "end": 6.39, "word": " الرحمن", "probability": 0.9674479166666666}, {"start": 6.39, "end": 6.83, "word": " الرحيم", "probability": 0.9947916666666666}, {"start": 6.83, "end": 7.33, "word": " السلام", "probability": 0.912109375}, {"start": 7.33, "end": 7.83, "word": " عليكم", "probability": 0.947509765625}, {"start": 7.83, "end": 8.25, "word": " ورحمة", "probability": 0.8663330078125}, {"start": 8.25, "end": 8.53, "word": " الله", "probability": 0.97314453125}, {"start": 8.53, "end": 9.15, "word": " وبركاته", "probability": 0.99248046875}, {"start": 9.15, "end": 9.41, "word": " اليوم", "probability": 0.892333984375}, {"start": 9.41, "end": 10.73, "word": " هنكمل", "probability": 0.9447021484375}, {"start": 10.73, "end": 12.41, "word": " الحسابات", "probability": 0.9114990234375}, {"start": 12.41, "end": 12.63, "word": " ال", "probability": 0.81494140625}, {"start": 12.63, "end": 13.53, "word": " slotted", "probability": 0.4420166015625}, {"start": 13.53, "end": 13.97, "word": " crank", "probability": 0.91455078125}, {"start": 13.97, "end": 14.65, "word": " mechanism", "probability": 0.79833984375}, {"start": 14.65, "end": 15.49, "word": " في", "probability": 0.7861328125}, {"start": 15.49, "end": 16.21, "word": " المحاضرتين", "probability": 0.9486328125}, {"start": 16.21, "end": 17.15, "word": " السابقتين", "probability": 0.9110107421875}, {"start": 17.15, "end": 17.71, "word": " عملنا", "probability": 0.85107421875}, {"start": 17.71, "end": 18.31, "word": " حسبنا", "probability": 0.8619791666666666}, {"start": 18.31, "end": 18.59, "word": " ال", "probability": 0.8857421875}, {"start": 18.59, "end": 19.11, "word": " velocity", "probability": 0.95947265625}, {"start": 19.11, "end": 19.37, "word": " و", "probability": 0.80908203125}, {"start": 19.37, "end": 19.43, "word": " ال", "probability": 0.90771484375}, {"start": 19.43, "end": 19.91, "word": " acceleration", "probability": 0.9169921875}, {"start": 19.91, "end": 20.13, "word": " و", "probability": 0.98095703125}, {"start": 20.13, "end": 20.15, "word": " ال", "probability": 0.450927734375}, {"start": 20.15, "end": 20.47, "word": " position", "probability": 0.95849609375}, {"start": 20.47, "end": 20.75, "word": " لل", "probability": 0.82470703125}, {"start": 20.75, "end": 21.15, "word": " piston", "probability": 0.460205078125}], "temperature": 1.0}, {"id": 2, "seek": 4853, "start": 21.55, "end": 48.53, "text": "حسبنا ال .. ال .. anger velocity و anger acceleration لل connecting rod و بعدين عملنا force analysis حسبنا ال piston effort حكينا ال piston effort هو net force along the line of stroke due to .. حكينا ال F P بيستوى ال F L minus plus F I minus ال friction force في حالة horizontal engine", "tokens": [5016, 35457, 8315, 2423, 4386, 2423, 4386, 10240, 9269, 4032, 10240, 17162, 24976, 11015, 8685, 4032, 39182, 9957, 6225, 42213, 8315, 3464, 5215, 11331, 35457, 8315, 2423, 30002, 4630, 11331, 4117, 1829, 8315, 2423, 30002, 4630, 31439, 2533, 3464, 2051, 264, 1622, 295, 12403, 3462, 281, 4386, 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"end": 1373.56, "text": "الـ mass mode of inertia الـ I حوالين الـ G بيساوي سبعة تلاف كيلو جرام ملي ميتر تربيع its center of gravity is at two hundred millimeters from its small end مركز تقالو G واقع لبعد", "tokens": [6027, 39184, 2758, 4391, 295, 37234, 2423, 39184, 286, 11331, 2407, 6027, 9957, 2423, 39184, 460, 4724, 1829, 3794, 995, 45865, 8608, 3555, 27884, 6055, 15040, 5172, 9122, 26895, 2407, 10874, 2288, 10943, 3714, 20292, 3714, 36081, 2288, 6055, 2288, 21292, 3615, 1080, 3056, 295, 12110, 307, 412, 732, 3262, 24388, 490, 1080, 1359, 917, 3714, 31747, 11622, 6055, 4587, 6027, 2407, 460, 36764, 4587, 3615, 5296, 3555, 22488], "avg_logprob": -0.33102679124900275, "compression_ratio": 1.3461538461538463, "no_speech_prob": 0.0, "words": [{"start": 1344.62, "end": 1344.98, "word": "الـ", "probability": 0.3572998046875}, {"start": 1344.98, "end": 1345.26, "word": " mass", "probability": 0.501953125}, {"start": 1345.26, "end": 1345.58, "word": " mode", "probability": 0.260009765625}, 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the connecting rod if one of the masses is located at the small end center اوجد ال dynamical equivalent system اذا حطيت mass حطيت هنا mass M1", "tokens": [2304, 2655, 9957, 3714, 1829, 20292, 44650, 2288, 9154, 2423, 1359, 917, 23758, 1359, 917, 10874, 3224, 3660, 2423, 30002, 2423, 955, 917, 39894, 30544, 10874, 3224, 3660, 2423, 21263, 23032, 1829, 3555, 6997, 5999, 804, 5999, 804, 10344, 281, 2758, 1185, 295, 264, 11015, 8685, 498, 472, 295, 264, 23935, 307, 6870, 412, 264, 1359, 917, 3056, 1975, 2407, 7435, 3215, 2423, 5999, 804, 10344, 1185, 1975, 15730, 11331, 9566, 36081, 2758, 11331, 9566, 36081, 34105, 2758, 376, 16], "avg_logprob": -0.29185957378811306, "compression_ratio": 1.6431924882629108, "no_speech_prob": 0.0, "words": [{"start": 1375.09, "end": 1375.59, "word": "متين", "probability": 0.442626953125}, {"start": 1375.59, "end": 1375.79, "word": " ميلي", "probability": 0.6337076822916666}, {"start": 1375.79, "end": 1376.03, "word": " متر", "probability": 0.865478515625}, 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"word": " ستة", "probability": 0.9241536458333334}, {"start": 2276.25, "end": 2276.77, "word": " تطلع", "probability": 0.953857421875}, {"start": 2276.77, "end": 2277.01, "word": " اربع", "probability": 0.7576497395833334}, {"start": 2277.01, "end": 2277.15, "word": " و", "probability": 0.68017578125}, {"start": 2277.15, "end": 2277.59, "word": " عشرين", "probability": 0.92041015625}, {"start": 2277.59, "end": 2278.65, "word": " سبعة", "probability": 0.8927408854166666}, {"start": 2278.65, "end": 2278.79, "word": " و", "probability": 0.99169921875}, {"start": 2278.79, "end": 2279.29, "word": " عشرين", "probability": 0.9697265625}, {"start": 2279.29, "end": 2281.71, "word": " point", "probability": 0.94677734375}, {"start": 2281.71, "end": 2282.29, "word": " اربع", "probability": 0.8136393229166666}, {"start": 2282.29, "end": 2283.03, "word": " اربع", "probability": 0.9231770833333334}, {"start": 2283.03, "end": 2284.45, "word": " kilogram", "probability": 0.81201171875}, {"start": 2284.45, "end": 2288.53, "word": " معناته", "probability": 0.508056640625}, {"start": 2288.53, "end": 2288.63, "word": " ال", "probability": 0.82080078125}, {"start": 2288.63, "end": 2288.79, "word": " rigid", "probability": 0.97509765625}, {"start": 2288.79, "end": 2289.27, "word": " body", "probability": 0.8671875}, {"start": 2289.27, "end": 2289.65, "word": " هذا", "probability": 0.76806640625}, {"start": 2289.65, "end": 2289.99, "word": " ممكن", "probability": 0.9169921875}, {"start": 2289.99, "end": 2290.89, "word": " استبدله", "probability": 0.5885416666666666}, {"start": 2290.89, "end": 2291.71, "word": " this", "probability": 0.71044921875}, {"start": 2291.71, "end": 2292.01, "word": " rigid", "probability": 0.9560546875}, {"start": 2292.01, "end": 2292.31, "word": " body", "probability": 0.87353515625}, {"start": 2292.31, "end": 2293.59, "word": " can", "probability": 0.92431640625}, {"start": 2293.59, "end": 2293.79, "word": " be", "probability": 0.9599609375}, {"start": 2293.79, "end": 2294.45, "word": " replaced", "probability": 0.904296875}, {"start": 2294.45, "end": 2295.57, "word": " by", "probability": 0.98095703125}, {"start": 2295.57, "end": 2295.95, "word": " two", "probability": 0.94189453125}, {"start": 2295.95, "end": 2296.43, "word": " masses", "probability": 0.9033203125}], "temperature": 1.0}, {"id": 79, "seek": 232485, "start": 2297.73, "end": 2324.85, "text": "one located at this small center M1 قيمتها 10.056 على بعد 625 من مركز الثقل 625 ميلي another mass M2 قيمتها 27.44 كيلو جرام على بعد 225 ميلي متر من مركز الثقل هذا ال two mass system M1 و M2 بيكون dynamical equivalent ل total mass of the connecting rod", "tokens": [546, 6870, 412, 341, 1359, 3056, 376, 16, 12174, 32640, 2655, 11296, 1266, 13, 13328, 21, 15844, 39182, 1386, 6074, 9154, 3714, 31747, 11622, 6024, 104, 4587, 1211, 1386, 6074, 3714, 1829, 20292, 1071, 2758, 376, 17, 12174, 32640, 2655, 11296, 7634, 13, 13912, 9122, 26895, 2407, 10874, 2288, 10943, 15844, 39182, 5853, 20, 3714, 1829, 20292, 44650, 2288, 9154, 3714, 31747, 11622, 6024, 104, 4587, 1211, 23758, 2423, 732, 2758, 1185, 376, 16, 4032, 376, 17, 4724, 1829, 30544, 5999, 804, 10344, 5296, 3217, 2758, 295, 264, 11015, 8685], "avg_logprob": -0.2204670290370564, "compression_ratio": 1.4841628959276019, "no_speech_prob": 0.0, "words": [{"start": 2297.73, "end": 2298.07, "word": "one", "probability": 0.1373291015625}, {"start": 2298.07, "end": 2298.53, "word": " located", "probability": 0.90576171875}, {"start": 2298.53, "end": 2298.91, "word": " at", "probability": 0.8427734375}, {"start": 2298.91, "end": 2299.13, "word": " this", "probability": 0.85693359375}, {"start": 2299.13, "end": 2299.57, "word": " small", "probability": 0.927734375}, {"start": 2299.57, "end": 2300.09, "word": " center", "probability": 0.7763671875}, {"start": 2300.09, "end": 2300.75, "word": " M1", "probability": 0.82470703125}, {"start": 2300.75, "end": 2301.43, "word": " قيمتها", "probability": 0.9583740234375}, {"start": 2301.43, "end": 2302.89, "word": " 10", "probability": 0.541015625}, {"start": 2302.89, "end": 2304.27, "word": ".056", "probability": 0.8603515625}, {"start": 2304.27, "end": 2306.41, "word": " على", "probability": 0.5185546875}, {"start": 2306.41, "end": 2306.75, "word": " بعد", "probability": 0.7060546875}, {"start": 2306.75, "end": 2307.43, "word": " 625", "probability": 0.96923828125}, {"start": 2307.43, "end": 2307.65, "word": " من", "probability": 0.7158203125}, {"start": 2307.65, "end": 2308.01, "word": " مركز", "probability": 0.8556315104166666}, {"start": 2308.01, "end": 2308.41, "word": " الثقل", "probability": 0.9390869140625}, {"start": 2308.41, "end": 2308.87, "word": " 625", "probability": 0.6739501953125}, {"start": 2308.87, "end": 2309.23, "word": " ميلي", "probability": 0.579345703125}, {"start": 2309.23, "end": 2309.99, "word": " another", "probability": 0.61669921875}, {"start": 2309.99, "end": 2310.39, "word": " mass", "probability": 0.88623046875}, {"start": 2310.39, "end": 2311.07, "word": " M2", "probability": 0.98046875}, {"start": 2311.07, "end": 2311.65, "word": " قيمتها", "probability": 0.9879150390625}, {"start": 2311.65, "end": 2312.65, "word": " 27", "probability": 0.7197265625}, {"start": 2312.65, "end": 2313.33, "word": ".44", "probability": 0.9326171875}, {"start": 2313.33, "end": 2313.81, "word": " كيلو", "probability": 0.6124674479166666}, {"start": 2313.81, "end": 2314.05, "word": " جرام", "probability": 0.939453125}, {"start": 2314.05, "end": 2314.23, "word": " على", "probability": 0.90185546875}, {"start": 2314.23, "end": 2314.45, "word": " بعد", "probability": 0.84375}, {"start": 2314.45, "end": 2314.95, "word": " 225", "probability": 0.848876953125}, {"start": 2314.95, "end": 2315.21, "word": " ميلي", "probability": 0.81689453125}, {"start": 2315.21, "end": 2315.43, "word": " متر", "probability": 0.981201171875}, {"start": 2315.43, "end": 2315.55, "word": " من", "probability": 0.9873046875}, {"start": 2315.55, "end": 2316.01, "word": " مركز", "probability": 0.9899088541666666}, {"start": 2316.01, "end": 2316.91, "word": " الثقل", "probability": 0.9639892578125}, {"start": 2316.91, "end": 2317.57, "word": " هذا", "probability": 0.81640625}, {"start": 2317.57, "end": 2318.03, "word": " ال", "probability": 0.72998046875}, {"start": 2318.03, "end": 2318.09, "word": " two", "probability": 0.564453125}, {"start": 2318.09, "end": 2318.33, "word": " mass", "probability": 0.6611328125}, {"start": 2318.33, "end": 2318.65, "word": " system", "probability": 0.76708984375}, {"start": 2318.65, "end": 2318.93, "word": " M1", "probability": 0.978515625}, {"start": 2318.93, "end": 2319.09, "word": " و", "probability": 0.7265625}, {"start": 2319.09, "end": 2319.55, "word": " M2", "probability": 0.80224609375}, {"start": 2319.55, "end": 2320.37, "word": " بيكون", "probability": 0.861328125}, {"start": 2320.37, "end": 2320.87, "word": " dynamical", "probability": 0.687744140625}, {"start": 2320.87, "end": 2321.39, "word": " equivalent", "probability": 0.7841796875}, {"start": 2321.39, "end": 2321.87, "word": " ل", "probability": 0.57080078125}, {"start": 2321.87, "end": 2322.15, "word": " total", "probability": 0.53564453125}, {"start": 2322.15, "end": 2322.57, "word": " mass", "probability": 0.8779296875}, {"start": 2322.57, "end": 2322.95, "word": " of", "probability": 0.9736328125}, {"start": 2322.95, "end": 2323.21, "word": " the", "probability": 0.81396484375}, {"start": 2323.21, "end": 2324.05, "word": " connecting", "probability": 0.89111328125}, {"start": 2324.05, "end": 2324.85, "word": " rod", "probability": 0.880859375}], "temperature": 1.0}, {"id": 80, "seek": 234096, "start": 2327.85, "end": 2340.97, "text": "طبعا في المحاضرة الجاية هنشوف إيش فايدة الكلام هذا إيه طبعا إيه ميزة و فايدة نكتفي اليوم المحاضرة الجاية بنكمل باقى الأمثلة بتوقع تحلوها أنت و المعيد مع بعض", "tokens": [9566, 3555, 3615, 995, 8978, 9673, 5016, 46958, 25720, 25724, 995, 10632, 8032, 1863, 8592, 38688, 11933, 1829, 8592, 6156, 995, 25708, 3660, 2423, 28820, 10943, 23758, 11933, 1829, 3224, 23032, 3555, 3615, 995, 11933, 1829, 3224, 3714, 1829, 11622, 3660, 4032, 6156, 995, 25708, 3660, 8717, 4117, 2655, 41185, 45595, 20498, 9673, 5016, 46958, 25720, 25724, 995, 10632, 44945, 24793, 1211, 4724, 995, 4587, 7578, 16247, 2304, 12984, 37977, 39894, 30543, 3615, 6055, 5016, 1211, 2407, 11296, 14739, 2655, 4032, 9673, 3615, 25708, 20449, 45030, 11242], "avg_logprob": -0.16024502214382996, "compression_ratio": 1.832258064516129, "no_speech_prob": 0.0, "words": [{"start": 2327.85, "end": 2328.13, "word": "طبعا", "probability": 0.97998046875}, {"start": 2328.13, "end": 2328.21, "word": " في", "probability": 0.86962890625}, {"start": 2328.21, "end": 2328.65, "word": " المحاضرة", "probability": 0.9837646484375}, {"start": 2328.65, "end": 2328.91, "word": " الجاية", "probability": 0.6712239583333334}, {"start": 2328.91, "end": 2329.39, "word": " هنشوف", "probability": 0.9306640625}, {"start": 2329.39, "end": 2329.65, "word": " إيش", "probability": 0.7759602864583334}, {"start": 2329.65, "end": 2329.97, "word": " فايدة", "probability": 0.8203125}, {"start": 2329.97, "end": 2330.33, "word": " الكلام", "probability": 0.9309895833333334}, {"start": 2330.33, "end": 2330.49, "word": " هذا", "probability": 0.79541015625}, {"start": 2330.49, "end": 2330.61, "word": " إيه", "probability": 0.8094075520833334}, {"start": 2330.61, "end": 2331.01, "word": " طبعا", "probability": 0.913330078125}, {"start": 2331.01, "end": 2331.19, "word": " إيه", "probability": 0.75537109375}, {"start": 2331.19, "end": 2332.11, "word": " ميزة", "probability": 0.85919189453125}, {"start": 2332.11, "end": 2332.27, "word": " و", "probability": 0.95263671875}, {"start": 2332.27, "end": 2333.47, "word": " فايدة", "probability": 0.8719482421875}, {"start": 2333.47, "end": 2334.69, "word": " نكتفي", "probability": 0.8492431640625}, {"start": 2334.69, "end": 2335.15, "word": " اليوم", "probability": 0.96923828125}, {"start": 2335.15, "end": 2335.75, "word": " المحاضرة", "probability": 0.9366455078125}, {"start": 2335.75, "end": 2336.17, "word": " الجاية", "probability": 0.9337565104166666}, {"start": 2336.17, "end": 2337.11, "word": " بنكمل", "probability": 0.9627278645833334}, {"start": 2337.11, "end": 2337.93, "word": " باقى", "probability": 0.7012939453125}, {"start": 2337.93, "end": 2338.29, "word": " الأمثلة", "probability": 0.987060546875}, {"start": 2338.29, "end": 2338.73, "word": " بتوقع", "probability": 0.8406575520833334}, {"start": 2338.73, "end": 2339.13, "word": " تحلوها", "probability": 0.9169921875}, {"start": 2339.13, "end": 2339.39, "word": " أنت", "probability": 0.653564453125}, {"start": 2339.39, "end": 2339.53, "word": " و", "probability": 0.4912109375}, {"start": 2339.53, "end": 2339.99, "word": " المعيد", "probability": 0.8655598958333334}, {"start": 2339.99, "end": 2340.65, "word": " مع", "probability": 0.98291015625}, {"start": 2340.65, "end": 2340.97, "word": " بعض", "probability": 0.99462890625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2341.4305, "duration_after_vad": 2033.856249999993}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2ElWa7oOPU0_raw.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2ElWa7oOPU0_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..07db8f7f5d85c4af6199f340ed88b5951bcd4e2c
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2ElWa7oOPU0_raw.srt
@@ -0,0 +1,1328 @@
+1
+00:00:04,990 --> 00:00:08,530
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,530 --> 00:00:13,970
+وبركاته اليوم هنكمل الحسابات ال slotted crank
+
+3
+00:00:13,970 --> 00:00:18,590
+mechanism في المحاضرتين السابقتين عملنا حسبنا ال
+
+4
+00:00:18,590 --> 00:00:21,150
+velocity و ال acceleration و ال position لل piston
+
+5
+00:00:21,550 --> 00:00:25,370
+حسبنا ال .. ال .. anger velocity و anger
+
+6
+00:00:25,370 --> 00:00:29,150
+acceleration لل connecting rod و بعدين عملنا force
+
+7
+00:00:29,150 --> 00:00:33,050
+analysis حسبنا ال piston effort حكينا ال piston
+
+8
+00:00:33,050 --> 00:00:37,450
+effort هو net force along the line of stroke due
+
+9
+00:00:37,450 --> 00:00:43,990
+to .. حكينا ال F P بيستوى ال F L minus plus F I
+
+10
+00:00:43,990 --> 00:00:48,530
+minus ال friction force في حالة horizontal engine
+
+11
+00:00:51,050 --> 00:00:55,710
+اليوم هنكمل اول شي هنتعرف على فكرة جديدة هي ال
+
+12
+00:00:55,710 --> 00:00:59,330
+compound pendulum انا عندي هنا مبين عندي rigid
+
+13
+00:00:59,330 --> 00:01:09,490
+body معلق من نقطة a هذا
+
+14
+00:01:09,490 --> 00:01:16,730
+مركز ثقة لل rigid bodymarket psychology والمسافة
+
+15
+00:01:16,730 --> 00:01:24,030
+من نقطة التعليق o لmarket psychology هي h الان
+
+16
+00:01:24,030 --> 00:01:26,970
+عملنا small displacement small angular
+
+17
+00:01:26,970 --> 00:01:31,770
+displacement لل rigid body بمقدار
+
+18
+00:01:31,770 --> 00:01:40,210
+زاوية theta طبعا في الوزن مؤثر لتحت وزن ال rigid
+
+19
+00:01:40,210 --> 00:01:40,530
+body
+
+20
+00:01:44,070 --> 00:01:50,430
+اللي هو الوزن M في G الوزن ممكن احاوله احلله لو
+
+21
+00:01:50,430 --> 00:01:55,650
+مركبة تجاهي المركب في اتجاه ال O G اللي هي هتكون M
+
+22
+00:01:55,650 --> 00:02:01,670
+G Cos
+
+23
+00:02:01,670 --> 00:02:09,910
+θ المركبة عمودية
+
+24
+00:02:09,910 --> 00:02:12,650
+على ال O G اللي هي M G
+
+25
+00:02:17,470 --> 00:02:22,910
+sine theta ال
+
+26
+00:02:22,910 --> 00:02:27,950
+KG هو ال rates of gyration about G KG ال rates of
+
+27
+00:02:27,950 --> 00:02:32,290
+gyration حوالين ال G لو أخدت ال moment حوالين O
+
+28
+00:02:32,290 --> 00:02:37,830
+summation حوالين
+
+29
+00:02:37,830 --> 00:02:48,790
+O هز يكون سوء I Oفي Alpha طبعا
+
+30
+00:02:48,790 --> 00:02:56,750
+ال Mg cos θ بتعملش moment ال Mg هيكون دي معناته Mg
+
+31
+00:02:56,750 --> 00:03:09,690
+sin θ بسوء ال I O ال I O هتكون ال
+
+32
+00:03:09,690 --> 00:03:11,710
+moment of inertia حوالين ال G IG
+
+33
+00:03:14,890 --> 00:03:22,610
+زاد ال mass في H تربيع وال I G اللي هي M هبقى قرا
+
+34
+00:03:22,610 --> 00:03:25,970
+عن ال
+
+35
+00:03:25,970 --> 00:03:31,630
+mass في ال rates of gyration KG تربيع زاد M في H
+
+36
+00:03:31,630 --> 00:03:40,710
+تربيع يعني هتكون M في KG تربيع زاد H تربيع يعني ال
+
+37
+00:03:40,710 --> 00:03:49,880
+M G sin θ هتكون ال I O اللي هي Mم في KG تربيه زاد
+
+38
+00:03:49,880 --> 00:03:56,560
+H تربيه في الفة for small for small angle
+
+39
+00:03:56,560 --> 00:04:03,300
+displacement for small for small theta يكون
+
+40
+00:04:03,300 --> 00:04:08,420
+دي sign theta تقريبا بتساوي theta يعني ممكن احكي
+
+41
+00:04:08,420 --> 00:04:12,640
+انا MG theta
+
+42
+00:04:16,460 --> 00:04:27,660
+بتساوي M في KG تربية زاد H تربية في Alpha يعني ال
+
+43
+00:04:27,660 --> 00:04:34,440
+M بتروح مع ال M يعني
+
+44
+00:04:34,440 --> 00:04:38,200
+ثتة على Alpha هالسيرة دي
+
+45
+00:04:43,350 --> 00:04:50,390
+الثيتا على الفا هتكون
+
+46
+00:04:50,390 --> 00:05:00,790
+سوى كي جي تربيه زاد اتش تربيه على جي الزمن
+
+47
+00:05:00,790 --> 00:05:05,610
+الدوري لل oscillation رايح جاي هصيرله periodic
+
+48
+00:05:05,610 --> 00:05:06,270
+time
+
+49
+00:05:10,410 --> 00:05:21,190
+هيكون يستوى اللي هو اتنين باى الجزر التربيعى لثيتا
+
+50
+00:05:21,190 --> 00:05:23,010
+على الفا
+
+51
+00:05:27,020 --> 00:05:33,360
+يعني هيكون ازاوية TP ازاوية اتنين by الجزر
+
+52
+00:05:33,360 --> 00:05:42,400
+التربيعي θ على الف ل KG تربيع زاد H تربيع على G
+
+53
+00:05:42,400 --> 00:05:49,380
+الآن يعني ممكن ألخص الموضوع ببساطة بحكي إذا عندي
+
+54
+00:05:49,380 --> 00:05:58,390
+جسم إذا عندي جسمشكله ثلاثة شكله مكلقع شكله مكلقع
+
+55
+00:05:58,390 --> 00:06:04,730
+يعني أجيب صخرة مثلا و عايز أعرف ال moment of
+
+56
+00:06:04,730 --> 00:06:09,730
+inertia بتاعتها و لا أبسط من هيك بعمل مثلا ثقب في
+
+57
+00:06:09,730 --> 00:06:16,710
+الجسم و بعلكه بحط مصمار هنا و بعدين بعمل بحرك بلفه
+
+58
+00:06:16,710 --> 00:06:22,230
+بزاوية theta و بسيبهاش to oscillate لأن في عندى
+
+59
+00:06:22,230 --> 00:06:27,090
+oscillationو بحسب اللي بحسب مثلا بعدي مثلا عشرة او
+
+60
+00:06:27,090 --> 00:06:29,130
+عشرة هو عشرة oscillation بشوف أكتر عشرة
+
+61
+00:06:29,130 --> 00:06:32,290
+oscillation أكتر ماخد وقت بقسم على عشرة بحسب الزمن
+
+62
+00:06:32,290 --> 00:06:40,050
+الدوري حسبت الزمن الدوري و أنا عارف G عارف G وعارف
+
+63
+00:06:40,050 --> 00:06:48,640
+H عارف H عارف H بحسب Hال KG يعني بحسب الزمن الدوري
+
+64
+00:06:48,640 --> 00:06:54,680
+بحسب ال K ال KG حسبة ال KG ال IG بيستوي M في KG
+
+65
+00:06:54,680 --> 00:06:58,660
+تربيع يعني أحد أحد الطرق لحساب ال rates of
+
+66
+00:06:58,660 --> 00:07:02,700
+gyration أو حساب ال moment of inertia ل rigid body
+
+67
+00:07:02,700 --> 00:07:09,260
+حوالين مركز ثقاله يعني حكينا الزمن الدوري اللي هو
+
+68
+00:07:10,340 --> 00:07:12,740
+periodic time بيساوي اتنين بقى جزء تربيه على ك ج
+
+69
+00:07:12,740 --> 00:07:19,980
+تربيه و زد ه تربيه على ج في ه او
+
+70
+00:07:19,980 --> 00:07:29,480
+ج هد في ه طيب
+
+71
+00:07:29,480 --> 00:07:35,000
+الان
+
+72
+00:07:35,000 --> 00:07:39,280
+لو اخدت بندول عادي اخدت بندول بندول اللي احنا
+
+73
+00:07:39,280 --> 00:07:39,880
+بنعرفه
+
+74
+00:07:44,030 --> 00:07:52,390
+هذه حبل و في كتلة هنا وهذه
+
+75
+00:07:52,390 --> 00:08:00,830
+الزاوية ثيتا هيكون البدرة اللي عندى مج مج
+
+76
+00:08:00,830 --> 00:08:14,040
+مج مج مج مج مج مج مج مج مج مجالـ Torque حوالين O
+
+77
+00:08:14,040 --> 00:08:29,340
+الـ Torque هيكون سواء MG في L هذا طوله L Sine
+
+78
+00:08:29,340 --> 00:08:40,000
+Theta بسوء I Oفى alpha for small theta حسينا دى
+
+79
+00:08:40,000 --> 00:08:52,360
+MGL فى theta بالساوية ال I O هتكون M L square فى
+
+80
+00:08:52,360 --> 00:08:59,620
+alpha يعني ال theta على الفا بتساوي
+
+81
+00:09:03,320 --> 00:09:11,620
+هذا الـ L مع L و M مع M هيكون L على G و الزمن
+
+82
+00:09:11,620 --> 00:09:17,260
+الدوري الـ Tv هيكون 2 Pi الجزر التربيعي لـ Theta
+
+83
+00:09:17,260 --> 00:09:22,900
+على Alpha يعني هتكون الـ Tv لـ لـ Simple pendulum
+
+84
+00:09:22,900 --> 00:09:32,020
+هتكون 2 Pi الجزر التربيعي لل L على
+
+85
+00:09:34,820 --> 00:09:39,420
+G خلّين نقارن عند هذا for simple pendulum for
+
+86
+00:09:39,420 --> 00:09:44,500
+simple pendulum ال T P لل symbol pendulum هتكون
+
+87
+00:09:44,500 --> 00:09:54,940
+تستوى اتنين by الجزر التربيعي ل L L
+
+88
+00:09:54,940 --> 00:10:02,200
+على G لاحظوا هتلاحظوا القاتل هذا
+
+89
+00:10:05,680 --> 00:10:14,380
+تقريبا ال ال capital هتكون سوى كي جي تربية زاد اتش
+
+90
+00:10:14,380 --> 00:10:19,280
+تربية على اتش
+
+91
+00:10:23,010 --> 00:10:25,510
+معناته ال equivalent length of a simple pendulum
+
+92
+00:10:25,510 --> 00:10:27,810
+which gives the same frequency as compound
+
+93
+00:10:27,810 --> 00:10:31,830
+pendulum لكون ال length هتكون أقل بالساوية كيجي
+
+94
+00:10:31,830 --> 00:10:34,810
+تربيه زي H تربيه على H يعني كيجي تربيه على H زائد
+
+95
+00:10:34,810 --> 00:10:35,290
+H
+
+96
+00:10:50,850 --> 00:10:56,710
+طيب لان هنشوف كيف نوجد equivalent rigid .. كيف
+
+97
+00:10:56,710 --> 00:11:00,890
+ممكن أستبدل .. أستبدل rigid body ب two masses بحيث
+
+98
+00:11:00,890 --> 00:11:03,790
+ال effect بتاع ال two masses يكون نفس ال effect لل
+
+99
+00:11:03,790 --> 00:11:09,170
+.. لل .. لل rigid body احنا حكيها to determine
+
+100
+00:11:09,170 --> 00:11:11,790
+motion of a rigid body it is convenient to replace
+
+101
+00:11:11,790 --> 00:11:14,170
+the rigid body by two masses placed at fixed
+
+102
+00:11:14,170 --> 00:11:19,310
+distance apart such that أنا ممكن أستبدل جسم ..
+
+103
+00:11:19,310 --> 00:11:26,280
+جسمأستبدله ب two masses بحيث
+
+104
+00:11:26,280 --> 00:11:29,780
+يكون ال sum of the two masses بالسواء ال total
+
+105
+00:11:29,780 --> 00:11:33,820
+mass لل rigid body و ال center of gravity لل two
+
+106
+00:11:33,820 --> 00:11:36,740
+masses يتطابق مع ال center of gravity لل rigid
+
+107
+00:11:36,740 --> 00:11:41,020
+body و ال sum of mass متفنرشة لل two masses
+
+108
+00:11:41,020 --> 00:11:44,680
+بالسواء ال mass متفنرشة لل rigid body على نحو
+
+109
+00:11:44,680 --> 00:11:45,880
+التالي أنا عندي هذا الجسم
+
+110
+00:11:49,290 --> 00:11:55,250
+هذا الوضع كتلة M هذا
+
+111
+00:11:55,250 --> 00:12:02,250
+مركز تيكولوجي و
+
+112
+00:12:02,250 --> 00:12:08,430
+كتلة H M بدي
+
+113
+00:12:08,430 --> 00:12:15,670
+أستبدل الاتنين مجموعات واحدة مجموعة M
+
+114
+00:12:15,670 --> 00:12:26,010
+واحدةone mass at B كتلتها M اتنين المسافة بين M و
+
+115
+00:12:26,010 --> 00:12:32,290
+M واحد الواحد وهين الاتنين والمسافة الكلية بين ال
+
+116
+00:12:32,290 --> 00:12:37,530
+two masses ال capital الان
+
+117
+00:12:37,530 --> 00:12:42,730
+اللي سويته انا هي عندي rigid body حكيت بدي احط
+
+118
+00:12:42,730 --> 00:12:48,390
+مكافئلهالـ rigid body ال mass بتاعته M بدي احطله
+
+119
+00:12:48,390 --> 00:12:56,030
+مكافئله two masses M1 و M2 بحيث ان يكون M1 زاد M2
+
+120
+00:12:56,030 --> 00:13:01,410
+بالساوية M و مركز ثقل M1 و M2 هو نفس مركز ثقل ال
+
+121
+00:13:01,410 --> 00:13:06,890
+mass اللي هو G و ال mass متفنرشة ل M1 و M2 حوالين
+
+122
+00:13:06,890 --> 00:13:09,750
+G هو نفس ال mass متفنرشة لل rigid body حوالين G
+
+123
+00:13:09,750 --> 00:13:14,110
+يعني هيكون عنده اول شي ال sum of the two masses M1
+
+124
+00:13:16,130 --> 00:13:23,870
+زاد M2 بالساوية M هي واحدة بعدين moment حوالين جيه
+
+125
+00:13:23,870 --> 00:13:39,050
+M1 L1 بالساوية M2 M2 L2 المعنية M2 بالساوية M1 L1
+
+126
+00:13:39,050 --> 00:13:50,000
+على M2 عوض في هذه المقال M1زاد M2 اللي هو M1 ال L1
+
+127
+00:13:50,000 --> 00:13:58,200
+على M2 اللي هيبقى عن إيه؟ اللي هيبقى عن M minus M1
+
+128
+00:13:58,200 --> 00:14:07,840
+بساوي M لو أخدت M1 عامل مشترك بيصير واحد زاد L1
+
+129
+00:14:07,840 --> 00:14:11,600
+زاد
+
+130
+00:14:11,600 --> 00:14:23,020
+L1على M minus M واحد بالساوي M خدنا هنا M minus M
+
+131
+00:14:23,020 --> 00:14:31,100
+واحد طيب
+
+132
+00:14:31,100 --> 00:14:35,540
+الآن هعمل Simplification خاصة المعادلة في الآخر ان
+
+133
+00:14:35,540 --> 00:14:39,460
+M واحد بالساوي
+
+134
+00:14:39,460 --> 00:14:43,940
+L اتنين على
+
+135
+00:14:45,430 --> 00:14:52,770
+على ال واحد زاد ال اتنين في M و ال M اتنين هتكون
+
+136
+00:14:52,770 --> 00:14:59,310
+سوى ال واحد في M على ال واحد زاد ال اتنين ليه هذه
+
+137
+00:14:59,310 --> 00:15:05,970
+العلاقات؟ هتطلع عنده M واحد بيسوى ال اتنين في M
+
+138
+00:15:05,970 --> 00:15:08,570
+على ال واحد زاد ال اتنين و M اتنين بيسوى ال واحد
+
+139
+00:15:08,570 --> 00:15:12,150
+في M على ال واحد زاد ال اتنين اذا حاولتش بهم تطلع
+
+140
+00:15:12,150 --> 00:15:14,370
+فعلا M واحد زاد M اتنين بيسوى M
+
+141
+00:15:19,620 --> 00:15:25,860
+الان ال total moment of inertia حوالين حوالين
+
+142
+00:15:25,860 --> 00:15:37,120
+نقطة G لتومة أساسها يكون M1 L1 تربيع زاد M2 L2
+
+143
+00:15:37,120 --> 00:15:44,700
+تربيع بالساوية M KG تربيع
+
+144
+00:15:46,800 --> 00:15:57,400
+لان M1 اللي هي عبارة عن L2 M على L1 زاد L2 زاد
+
+145
+00:15:57,400 --> 00:16:04,820
+طبعا في L1 تربيع زاد L2
+
+146
+00:16:04,820 --> 00:16:18,910
+زاد L1 على L1 زاد L2في M L2 تربيع بيسمو M KG تربيع
+
+147
+00:16:18,910 --> 00:16:27,630
+نختصر M من الطرفين و ناخد L1
+
+148
+00:16:27,630 --> 00:16:30,670
+L2
+
+149
+00:16:30,670 --> 00:16:39,850
+عامل مشترك بيصفي عنده و على L1 زاد L2 عندهين L2
+
+150
+00:16:39,850 --> 00:16:47,500
+بيصير عندهين L1زاد L2 بيساوي KG تربيع يعني هيروح
+
+151
+00:16:47,500 --> 00:16:56,980
+هذا مع هذا بصف عنده L1 L2 بيساوي KG تربيع معناته
+
+152
+00:16:56,980 --> 00:17:02,400
+for the two mass system M1 M2 to be dynamically
+
+153
+00:17:02,400 --> 00:17:05,720
+equivalent to the total mass M of the rigid body
+
+154
+00:17:05,720 --> 00:17:11,740
+لازم يكون عندهمجموعة Thomas M1 زي M2 بيستوي M و ال
+
+155
+00:17:11,740 --> 00:17:14,780
+moment of inertia ل Thomas M1 M2 حوالي G هي نفسها
+
+156
+00:17:14,780 --> 00:17:19,900
+ال moment of inertia لل total mass حوالي G و ال
+
+157
+00:17:19,900 --> 00:17:26,480
+center of gravity ل Thomas M1 M2 هو نفسه G الآن
+
+158
+00:17:26,480 --> 00:17:29,380
+التلت شروط هتعطينا تلت معدلة تانية هتطلع عند M1
+
+159
+00:17:29,380 --> 00:17:34,220
+بيستوي L2 في M على L1 زي L2 و M2 بيستوي L1 M على
+
+160
+00:17:34,220 --> 00:17:38,000
+L1 زي L2 و L1 L2 تطلع عندنا بيستوي KG تربيع
+
+161
+00:17:47,510 --> 00:17:48,910
+طيب
+
+162
+00:18:09,300 --> 00:18:13,360
+الان graphically عشان أجد ال equivalent mass
+
+163
+00:18:13,360 --> 00:18:23,100
+system هاي ال mass الكلية M هاي المركز تقل G I
+
+164
+00:18:23,100 --> 00:18:30,160
+place a mass at a distance L واحد هذه M واحد و L
+
+165
+00:18:30,160 --> 00:18:32,100
+واحد من ال mass G
+
+166
+00:18:35,330 --> 00:18:40,430
+الان بعمل خط عمودي لان عندي هذه خط الأفقه بعمل
+
+167
+00:18:40,430 --> 00:18:47,430
+عندي ال mouse بعمل خط عمودي على الخط الأفقه طوله
+
+168
+00:18:47,430 --> 00:18:57,510
+طول الخط هذا بستوي KG بعدين بوصل M1 مع نقطة C
+
+169
+00:18:57,510 --> 00:19:06,480
+بعدين بعمل عمودي على ACعمودي لحد ما اتقطع مع الخط
+
+170
+00:19:06,480 --> 00:19:15,600
+الأفقي بيعطيني ال location of M2 هذي بتكون L2 طبعا
+
+171
+00:19:15,600 --> 00:19:26,260
+L1 في L2 بتساوي KG تربيع يعني
+
+172
+00:19:26,260 --> 00:19:30,220
+انا ممكن اثبتها ببساطة هذي انا عندى
+
+173
+00:19:35,120 --> 00:19:39,880
+كيجي تربيع بتساوي
+
+174
+00:19:39,880 --> 00:19:47,360
+اللي هو AC تربيع ناقص
+
+175
+00:19:47,360 --> 00:19:53,160
+الواحد تربيع أو
+
+176
+00:19:53,160 --> 00:20:02,500
+بتساوي برضه BC تربيع minus الاتنين تربيع
+
+177
+00:20:05,400 --> 00:20:10,140
+يعني الواحد تربية يعني بعمل simplification
+
+178
+00:20:10,140 --> 00:20:16,140
+للمعادلة هذه هيطلع في الآخران دي كاجي تربية
+
+179
+00:20:16,140 --> 00:20:26,240
+بالسواء الواحد في الاتنين يعني as a homework prove
+
+180
+00:20:26,240 --> 00:20:35,040
+prove هذه علاقة prove it شغل حسب مطلتات
+
+181
+00:20:37,430 --> 00:20:41,990
+معناته is I can replace a rigid body by a two mass
+
+182
+00:20:41,990 --> 00:20:45,570
+system that is dynamically equivalent to the rigid
+
+183
+00:20:45,570 --> 00:20:49,450
+body عشان يكون dynamically equivalent لازم تلاتة
+
+184
+00:20:49,450 --> 00:20:52,290
+conditions تتحقق لازم يكون مجموع ال two masses M1
+
+185
+00:20:52,290 --> 00:20:56,670
+و M2 بستوى ال total mass M بعدين مركز ثقة لل two
+
+186
+00:20:56,670 --> 00:20:58,290
+masses حوالي ال G
+
+187
+00:21:01,080 --> 00:21:06,020
+هيكون النقطة G يعني هكون M1 L1 بيستوى M2 L2 رقم
+
+188
+00:21:06,020 --> 00:21:09,540
+تلاتة ال .. ال .. ال .. ال .. ال mass motor
+
+189
+00:21:09,540 --> 00:21:13,320
+inertia ل M1 و M2 مجموحهم بيستوى نفس ال mass motor
+
+190
+00:21:13,320 --> 00:21:16,960
+inertia ل ال .. للكتلة الكلية طبعا تلاتة الشروط
+
+191
+00:21:16,960 --> 00:21:21,540
+هذي بتترجم للمعادلات هيكون عندي M1 بيستوى L2 في M
+
+192
+00:21:22,040 --> 00:21:29,800
+على L1 زد L2 و M1 بيساوي M2 بيساوي L1 على L1 زد L2
+
+193
+00:21:29,800 --> 00:21:35,140
+في M وعند ال condition التانية اللي هي L1 L2
+
+194
+00:21:35,140 --> 00:21:38,040
+بيساوي KG تربيع ال KG هي ال rates of gyration
+
+195
+00:21:38,040 --> 00:21:41,460
+about ال G نشوف مثال
+
+196
+00:21:55,120 --> 00:22:01,600
+a connecting rod of a gasoline engine is three
+
+197
+00:22:01,600 --> 00:22:04,260
+hundred millimeters long between its center and
+
+198
+00:22:04,260 --> 00:22:08,780
+the connecting rod المسافة بين مركز A تلت ميت ميلي
+
+199
+00:22:08,780 --> 00:22:15,160
+متر it has a mass of fifteen kilogram الmass
+
+200
+00:22:15,160 --> 00:22:20,560
+بتاعته خمس عشر كيلو جرام
+
+201
+00:22:24,620 --> 00:22:31,460
+الـ mass mode of inertia الـ I حوالين الـ G بيساوي
+
+202
+00:22:31,460 --> 00:22:41,800
+سبعة تلاف كيلو جرام ملي ميتر تربيع its center of
+
+203
+00:22:41,800 --> 00:22:43,800
+gravity is at two hundred millimeters from its
+
+204
+00:22:43,800 --> 00:22:53,020
+small end مركز تقالو G واقع
+
+205
+00:22:53,020 --> 00:22:57,310
+لبعدمتين ميلي متر من ال small end هذا small end
+
+206
+00:22:57,310 --> 00:23:06,050
+جهة ال piston ال big end بتكون جهة ال crank طيب
+
+207
+00:23:06,050 --> 00:23:10,290
+determine dynamical dynamical equivalent to mass
+
+208
+00:23:10,290 --> 00:23:13,950
+system of the connecting rod if one of the masses
+
+209
+00:23:13,950 --> 00:23:17,410
+is located at the small end center اوجد ال
+
+210
+00:23:17,410 --> 00:23:21,410
+dynamical equivalent system اذا حطيت mass حطيت هنا
+
+211
+00:23:21,410 --> 00:23:22,510
+mass M1
+
+212
+00:23:26,830 --> 00:23:34,650
+هين يعني الواحد هتكون .. هتكون اللي هي متين ملي
+
+213
+00:23:34,650 --> 00:23:42,930
+ميتر والأل عبارة عن لسه ما عصبنهاش
+
+214
+00:23:45,890 --> 00:23:50,850
+الـ الواحد متين ملي متر بده تحسب dynamical ..
+
+215
+00:23:50,850 --> 00:23:54,630
+determined dynamic equivalent to mass system اذا
+
+216
+00:23:54,630 --> 00:23:57,990
+حطيت احد ال masses M واحد عند النقطة التانية هتكون
+
+217
+00:23:57,990 --> 00:24:00,530
+ال mass التانية somewhere هنا مش عارفينها هتكون
+
+218
+00:24:00,530 --> 00:24:10,590
+عند هنا M اتنين هذا الاتنين وهذا الواحد احنا
+
+219
+00:24:10,590 --> 00:24:15,290
+عارفين عارفين
+
+220
+00:24:17,810 --> 00:24:28,770
+إنه الواحد الاتنين بيساوي KG تربيع طيب ال KG تربيع
+
+221
+00:24:28,770 --> 00:24:38,250
+عبارة عن IG على M يعني هيكون ال IG اللي هي سبعة
+
+222
+00:24:38,250 --> 00:24:44,070
+تلاف kilogram millimeter
+
+223
+00:24:45,720 --> 00:24:52,840
+تربيع على خمستاش حيطلع
+
+224
+00:24:52,840 --> 00:24:55,920
+بالمعناه تحسن عند الواحد اللي هي الواحد اللي هي
+
+225
+00:24:55,920 --> 00:25:02,000
+متين في ال اتنين بالسوقياجي تربيع اللي هي سبعة
+
+226
+00:25:02,000 --> 00:25:10,840
+تلاف على خمستاش يعني القل اتنين هتكون السابع
+
+227
+00:25:10,840 --> 00:25:17,650
+وهيروح السفر طبعا مع السفر هاي سفرينعالخمسة
+
+228
+00:25:17,650 --> 00:25:26,110
+اربعتاش عالخمسة فيها ايش تلاتة عالاتنين فيها واحد
+
+229
+00:25:26,110 --> 00:25:34,130
+عالاتنين فيها ايش سبعة انا تقل اتنين تطلع
+
+230
+00:25:34,130 --> 00:25:38,490
+سبعة على
+
+231
+00:25:38,490 --> 00:25:43,850
+تلاتة مليمتر تحسبها
+
+232
+00:26:07,740 --> 00:26:19,280
+تطلع الـ two point تلاتة millimeter
+
+233
+00:26:19,280 --> 00:26:31,260
+هذا الأقل اتنين طيب ال M واحد ال M واحد هتكون اللي
+
+234
+00:26:31,260 --> 00:26:39,830
+هي هتكون أقل اتنين في M أقل واحد زاد أقل اتنينيعني
+
+235
+00:26:39,830 --> 00:26:45,110
+هتكون القل اتنين اللي هي اتنين point تلاتة تلاتة
+
+236
+00:26:45,110 --> 00:26:54,490
+في الماس خمستاش على الواحد اللي هو امتين زاد اتنين
+
+237
+00:26:54,490 --> 00:26:55,650
+point تلات تلاتة
+
+238
+00:27:13,900 --> 00:27:21,020
+بتطلع point واحد سبعة point واحد سبعة تلاتة
+
+239
+00:27:21,020 --> 00:27:30,120
+kilogram ال M اتنين هتكون ال M ال M minus M واحد
+
+240
+00:27:30,120 --> 00:27:34,460
+ال
+
+241
+00:27:34,460 --> 00:27:42,480
+M اللي هي خمستاش ناقص point واحد سبعة تلاتة
+
+242
+00:27:49,020 --> 00:27:59,700
+هتطلع اربعتاش point تمانية اتنين سبعة معناته
+
+243
+00:27:59,700 --> 00:28:05,080
+انا ممكن ال connecting rod هذا اللي وزنه سبعميت
+
+244
+00:28:05,080 --> 00:28:09,940
+كيلو جرام و مركز تقله هنا على بعد متين ملي من مركز
+
+245
+00:28:09,940 --> 00:28:15,540
+الدائرة هذه استبدله ب two masses one mass at this
+
+246
+00:28:15,540 --> 00:28:23,570
+end قيمتهاpoint one seven تلاتة kilogram one mass
+
+247
+00:28:23,570 --> 00:28:28,130
+هنا على بعد اتنين point تلاتة millimeter قيمتها
+
+248
+00:28:28,130 --> 00:28:34,530
+اربعتاش point تمانية اتنين سبعة kilogram هذا ال
+
+249
+00:28:34,530 --> 00:28:37,970
+two masses M واحد و M اتنين are dynamically
+
+250
+00:28:37,970 --> 00:28:43,770
+equivalent to this connecting rod connecting ماشي
+
+251
+00:28:43,770 --> 00:28:46,890
+شوف
+
+252
+00:28:46,890 --> 00:28:47,630
+مثال تاني
+
+253
+00:29:09,490 --> 00:29:17,170
+عند الـ connecting rod تم تعليقه على بعد خمسة و
+
+254
+00:29:17,170 --> 00:29:19,370
+عشرين مليمتر يعني تم تعليقه من هنا
+
+255
+00:29:31,990 --> 00:29:35,430
+above the center of the small end and ستمية و
+
+256
+00:29:35,430 --> 00:29:39,190
+خمسين millimeter above its center of gravity يعني
+
+257
+00:29:39,190 --> 00:29:46,830
+هذه المسافة هذي H و
+
+258
+00:29:46,830 --> 00:29:52,550
+هاي ال center of gravity H
+
+259
+00:29:52,550 --> 00:29:57,450
+بالساوية ستمية
+
+260
+00:29:57,450 --> 00:30:00,370
+و خمسين millimeter
+
+261
+00:30:03,630 --> 00:30:06,170
+its mass being سبعة و تلاتين و نص كيلو جرام ال
+
+262
+00:30:06,170 --> 00:30:11,030
+mass بتاعة ال connecting rod سبعة و تلاتين و نص
+
+263
+00:30:11,030 --> 00:30:15,690
+كيلو جرام و
+
+264
+00:30:15,690 --> 00:30:19,050
+ان permitted to oscillate انا انعلقته من هنا و
+
+265
+00:30:19,050 --> 00:30:24,190
+خلته يتمرجح يمين شمال و ان permitted to oscillate
+
+266
+00:30:24,190 --> 00:30:27,390
+time period is found to be one point eight seven
+
+267
+00:30:27,390 --> 00:30:29,030
+second ال periodic time
+
+268
+00:30:33,980 --> 00:30:42,960
+بالساوية one point eight seven second find
+
+269
+00:30:42,960 --> 00:30:47,300
+dynamical equivalent system constituting of two
+
+270
+00:30:47,300 --> 00:30:50,060
+masses one of which is located at the small n
+
+271
+00:30:50,060 --> 00:30:53,400
+center اوجد dynamical equivalent system مقام من
+
+272
+00:30:53,400 --> 00:30:56,360
+two masses احد ال masses جاية في ال center هنا
+
+273
+00:31:00,130 --> 00:31:03,910
+طيب انا عشان اجيب dynamic equivalent .. عشان اجيب
+
+274
+00:31:03,910 --> 00:31:08,270
+dynamic .. اجيب dynamic equivalent .. اجيب two
+
+275
+00:31:08,270 --> 00:31:11,830
+mass dynamic equivalent system محتاج اعرف ال
+
+276
+00:31:11,830 --> 00:31:17,790
+radius of gyration KG ال KG كيف هعرفه هو معطيني ال
+
+277
+00:31:17,790 --> 00:31:22,670
+predict time predict time عندي TP نرجع المعادلات
+
+278
+00:31:22,670 --> 00:31:27,250
+هنا ال pendulum predict time TP
+
+279
+00:31:34,790 --> 00:31:39,850
+بالساوية اتنين باي الجزر
+
+280
+00:31:39,850 --> 00:31:53,050
+التربيعي ل KG تربيع زاد H تربيع على GH يعني
+
+281
+00:31:53,050 --> 00:31:59,890
+لو ربعت الطرفين هسأل ال TP تربيع
+
+282
+00:31:59,890 --> 00:32:10,250
+على اربع بايتربيعبساوي KG تربيع زاد H تربيع على GH
+
+283
+00:32:10,250 --> 00:32:19,330
+يعني
+
+284
+00:32:19,330 --> 00:32:28,410
+انا هاكول ان دي TB تربيع في GH على اربع Pi تربيع
+
+285
+00:32:28,410 --> 00:32:41,190
+بساوي KG تربيعزاد H تربيع معناته KG تربيع حيث هو
+
+286
+00:32:41,190 --> 00:32:51,550
+TP تربيع GH على أربع بايتربيع minus H تربيع حيث
+
+287
+00:32:51,550 --> 00:32:56,930
+ساوى ال period of time يعطيني one point eightseven
+
+288
+00:32:56,930 --> 00:33:03,890
+تربية ال جي اللي هي تسعة point تمانية سفر ستة ال H
+
+289
+00:33:03,890 --> 00:33:10,170
+معطينيه اللي هي ستمية و خمسين يعني point ستة خمسة
+
+290
+00:33:10,170 --> 00:33:23,780
+على أربع بايتربية minus point ستة خمسةتربية ومنها
+
+291
+00:33:23,780 --> 00:33:34,160
+بحسب ال KG تربية يعني انا هاكل عن ده one
+
+292
+00:33:34,160 --> 00:33:35,440
+point eight seven
+
+293
+00:33:56,760 --> 00:34:02,460
+يعني هيكون point خمسة ستة
+
+294
+00:34:02,460 --> 00:34:08,880
+خمسة اتنين ناقص ناقص
+
+295
+00:34:08,880 --> 00:34:17,460
+point ستة خمسة في point ستة خمسة بتطلع point واحد
+
+296
+00:34:17,460 --> 00:34:24,460
+point واحد اربع اتنين سبعة هذه كاج تربع
+
+297
+00:34:43,590 --> 00:34:50,570
+طيب الان ال ال واحد انا هستبدل هذا الجسم بكتلتين
+
+298
+00:34:50,570 --> 00:34:53,890
+كتلة جاية في المركزين و كتلة مكان تاني هحسبه
+
+299
+00:34:53,890 --> 00:35:00,470
+معناته ال ال واحد هتكون تستوي ال ال واحد ال
+
+300
+00:35:00,470 --> 00:35:06,950
+ال واحد هتكون ستمية و خمسين ماينوس خمسة و عشرين
+
+301
+00:35:06,950 --> 00:35:17,010
+هتكون ستمية و خمسة و عشرينملي متر لأن
+
+302
+00:35:17,010 --> 00:35:24,890
+ال واحد ال اتنين بيسوى كج تربيع انا
+
+303
+00:35:24,890 --> 00:35:29,370
+هاكون دي ال ال اتنين هتكون سواء كج تربيع اللي هي
+
+304
+00:35:29,370 --> 00:35:34,890
+point واحد اربعة اتنين سبعة على ال ال واحد اللي هي
+
+305
+00:35:34,890 --> 00:35:44,270
+point ستة اتنين خمسة عصبناش ال ال اتنينعلى تقسيم
+
+306
+00:35:44,270 --> 00:35:56,630
+point six اتنين خمسة هيكون point اتنين اتنين تسعة
+
+307
+00:35:56,630 --> 00:36:04,630
+متر يعني متين وتسعة عشرين millimeter
+
+308
+00:36:14,260 --> 00:36:18,860
+يعني انا حاسس ان عندي كتلة هين جاية عندي هين M
+
+309
+00:36:18,860 --> 00:36:27,160
+واحد هين M اتنين هاد هتكون امتين و خمسة و عشرين
+
+310
+00:36:27,160 --> 00:36:36,780
+ملي لما بتحسب قيم الكتل ال M واحد بالساول L اتنين
+
+311
+00:36:36,780 --> 00:36:44,000
+على ال واحد زاد L اتنين في Mالـ L2 هي مائة و تسعة
+
+312
+00:36:44,000 --> 00:36:49,300
+و عشرين على ستة مائة و خمسة و عشرين زياد مائة و
+
+313
+00:36:49,300 --> 00:36:54,140
+تسعة و عشرين في الـ M التي هي سبعة و تلاتين و نص
+
+314
+00:36:54,140 --> 00:37:04,140
+والـ M2 هتكون ساوي M minus M1 الـ M1 هنا حسبنا
+
+315
+00:37:04,140 --> 00:37:05,220
+مائة و تسعة و عشرين
+
+316
+00:37:25,120 --> 00:37:34,140
+بتطلع ال M1 عشرة point أو خمسة ستة kilogram يعني
+
+317
+00:37:34,140 --> 00:37:41,120
+ال M2 هتكون سبعة وتلاتين و نص ناقص عشرة point أو
+
+318
+00:37:41,120 --> 00:37:44,280
+خمسة ستة بتطلع
+
+319
+00:37:48,750 --> 00:37:55,550
+عشرة سبعة و تلاتين و نص ناقص عشرة point zero خمسة
+
+320
+00:37:55,550 --> 00:38:03,030
+ستة تطلع اربع و عشرين سبعة و عشرين point اربع اربع
+
+321
+00:38:03,030 --> 00:38:08,530
+kilogram معناته
+
+322
+00:38:08,530 --> 00:38:13,590
+ال rigid body هذا ممكن استبدله this rigid body can
+
+323
+00:38:13,590 --> 00:38:19,570
+be replaced by two massesone located at this small
+
+324
+00:38:19,570 --> 00:38:28,410
+center M1 قيمتها 10.056 على بعد 625 من مركز الثقل
+
+325
+00:38:28,410 --> 00:38:34,050
+625 ميلي another mass M2 قيمتها 27.44 كيلو جرام
+
+326
+00:38:34,050 --> 00:38:38,330
+على بعد 225 ميلي متر من مركز الثقل هذا ال two mass
+
+327
+00:38:38,330 --> 00:38:42,150
+system M1 و M2 بيكون dynamical equivalent ل total
+
+328
+00:38:42,150 --> 00:38:44,850
+mass of the connecting rod
+
+329
+00:38:47,850 --> 00:38:50,490
+طبعا في المحاضرة الجاية هنشوف إيش فايدة الكلام هذا
+
+330
+00:38:50,490 --> 00:38:55,750
+إيه طبعا إيه ميزة و فايدة نكتفي اليوم المحاضرة
+
+331
+00:38:55,750 --> 00:38:59,530
+الجاية بنكمل باقى الأمثلة بتوقع تحلوها أنت و
+
+332
+00:38:59,530 --> 00:39:00,970
+المعيد مع بعض
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2wBRACQ_YUk.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2wBRACQ_YUk.srt
new file mode 100644
index 0000000000000000000000000000000000000000..711d0b2cab8def964139640c5b7f9d02147675dd
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2wBRACQ_YUk.srt
@@ -0,0 +1,1932 @@
+1
+00:00:05,200 --> 00:00:08,480
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,480 --> 00:00:11,820
+وبركاته، اليوم هنستكمل محاضراتنا في مادة نظرية
+
+3
+00:00:11,820 --> 00:00:16,000
+الآلات، هنبدأ شابتر جديد اللي هو الـ tooth gearing
+
+4
+00:00:16,000 --> 00:00:21,280
+أو التروس، بالشابتر هذا هنفهم النظرية الأساسية
+
+5
+00:00:21,280 --> 00:00:29,050
+التي عملت التروس، والمواصفات الهندسية للترس، والمعايير
+
+6
+00:00:29,050 --> 00:00:34,250
+المستخدمة في التروس، وبعض الحسابات اللازمة للتروس
+
+7
+00:00:34,250 --> 00:00:38,250
+بحيث نتجنب حدوث تداخلات بين ما يسمى ب two gears
+
+8
+00:00:38,250 --> 00:00:44,250
+ثم هنبدأ بما يسمى ب friction، بما يسمى
+
+9
+00:00:44,250 --> 00:00:47,250
+friction wheels،  أبين عندي هنا
+
+10
+00:00:50,810 --> 00:00:56,970
+أبين عندي... عندي two wheels، wheel A و wheel B
+
+11
+00:00:56,970 --> 00:01:02,050
+متلامستان عند النقطة التي أبينها على الشاشة
+
+12
+00:01:02,050 --> 00:01:06,970
+wheel A تدور باتجاه عقارب الساعة، wheel B أكيد
+
+13
+00:01:06,970 --> 00:01:12,190
+ستدور بعكس عقارب الساعة لأنّ في polling force P
+
+14
+00:01:12,190 --> 00:01:19,660
+تجعل wheel A تلف، وذلك نتيجة الاحتكاك، لأنّ في
+
+15
+00:01:19,660 --> 00:01:24,040
+رد فعل عمودي من A على B، ومن B على A، وهي
+
+16
+00:01:24,040 --> 00:01:28,900
+normal force RN، نتيجة القوة العمودية، وفي احتكاك بين
+
+17
+00:01:28,900 --> 00:01:32,520
+wheel A و wheel B، ستكون frictional force
+
+18
+00:01:32,520 --> 00:01:39,280
+لذا ستنتقل الحركة من A إلى B، ولكن
+
+19
+00:01:39,280 --> 00:01:45,040
+اتجاه الحركة سينعكس، لأنّ طالما أنّ قوة
+
+20
+00:01:45,040 --> 00:01:51,160
+القوة P أكبر من قوة الاحتكاك F، التي تساوي μ في R N،
+
+21
+00:01:51,160 --> 00:01:55,120
+فسيكون عندي الـ Velocity Ratio ثابتة بين A
+
+22
+00:01:55,120 --> 00:02:01,000
+وB، وإذا كانت قيمة القوة P أكبر من قيمة قوة
+
+23
+00:02:01,000 --> 00:02:05,180
+الاحتكاك، سيحدث انزلاق بين A و B، و
+
+24
+00:02:05,180 --> 00:02:10,040
+ستصبح علاقة السرعة بين B و A غير ثابتة، هذا يعني أن
+
+25
+00:02:10,040 --> 00:02:14,490
+في هذه الحالة، الـ friction wheels لا تعطيني positive
+
+26
+00:02:14,490 --> 00:02:16,630
+drive، ماذا يعني positive drive؟ positive drive
+
+27
+00:02:16,630 --> 00:02:20,910
+يعني دائماً تكون النسبة بين سرعة A وسرعة B
+
+28
+00:02:20,910 --> 00:02:25,330
+ثابتة، وإذا حدث انزلاق، فإنّها لن تبقى ثابتة
+
+29
+00:02:25,330 --> 00:02:27,610
+وبالتالي it is not a positive drive
+
+30
+00:02:32,140 --> 00:02:37,780
+للحصول على positive drive، أقوم بعمل ما يشبه
+
+31
+00:02:37,780 --> 00:02:41,260
+ما ترون الدائرة الزرقاء، وكأنها friction disk، و
+
+32
+00:02:41,260 --> 00:02:43,820
+هذا الـ friction disk، لكنّ أصبح فيه الآن
+
+33
+00:02:43,820 --> 00:02:49,680
+أسنان، فيصبح نقل الحركة دفعياً، نقل الحركة يصبح
+
+34
+00:02:49,680 --> 00:02:53,020
+الآن سن يدفع على سن، أي يوجد pushing action
+
+35
+00:02:53,510 --> 00:02:56,750
+يوجد driver ويوجد follower، الـ driver it
+
+36
+00:02:56,750 --> 00:03:00,870
+pushes on the tooth of the driven، وبالتالي لا مجال ل
+
+37
+00:03:00,870 --> 00:03:07,090
+حدوث أي انزلاق، وبالتالي النسبة بين سرعة
+
+38
+00:03:07,090 --> 00:03:12,070
+الـ driver و الـ driven، أو العكس، تبقى ثابتة، وليس هنالك
+
+39
+00:03:12,070 --> 00:03:17,670
+sliding action الآن
+
+40
+00:03:17,670 --> 00:03:22,290
+للتروس مزايا وعيوب، مزايا الـ gears
+
+41
+00:03:22,290 --> 00:03:27,090
+أنها تنقل الحركة
+
+42
+00:03:27,090 --> 00:03:34,970
+بين two shafts، و الـ Velocity Ratio يظل ثابتاً، ثانياً
+
+43
+00:03:34,970 --> 00:03:40,380
+يتم نقل كمية كبيرة من الطاقة من shaft إلى shaft، الـ
+
+44
+00:03:40,380 --> 00:03:43,060
+efficiency  للتروس عالية جداً في حالة الحركة عالية السرعة
+
+45
+00:03:43,060 --> 00:03:48,840
+ممكن أن تتخطى 95%، رابعاً reliable service، يعني
+
+46
+00:03:48,840 --> 00:03:54,580
+الخدمة التي نحصل عليها موثوقة وتعطينا خدمة
+
+47
+00:03:54,580 --> 00:04:00,280
+لفترة طويلة، خامساً، يمكن زيادة السرعة أو تقليل
+
+48
+00:04:00,280 --> 00:04:03,640
+السرعة من shaft إلى shaft بحجم صغير compact layout، compact
+
+49
+00:04:03,640 --> 00:04:05,980
+layout يعني بحجم صغير نسبياً
+
+50
+00:04:09,190 --> 00:04:14,570
+عيوب الـ gear drives، disadvantages، أولاً
+
+51
+00:04:14,570 --> 00:04:20,090
+تصنيع التروس يتطلب معدات وأدوات خاصة، هذه أحد
+
+52
+00:04:20,090 --> 00:04:25,850
+العيوب، ثانياً، أي خطأ في قطع الأسنان قد يؤدي
+
+53
+00:04:25,850 --> 00:04:30,330
+إلى اهتزازات ميكانيكية، وبالتالي يؤدي إلى ضجيج خلال
+
+54
+00:04:30,330 --> 00:04:31,990
+عملية نقل الحركة
+
+55
+00:04:35,230 --> 00:04:39,950
+تصنف التروس تبعاً لما يلي، يمكن
+
+56
+00:04:39,950 --> 00:04:43,170
+تصنيف التروس تبعاً لموضع محاور
+
+57
+00:04:43,170 --> 00:04:48,750
+الأعمدة التي تركب عليها التروس، أو ثانياً، الـ preferable velocity of gears
+
+58
+00:04:48,750 --> 00:04:52,650
+السرعة المحيطية للتروس، أو نوع الـ gearing...
+
+59
+00:04:52,650 --> 00:04:55,670
+السرعة المحيطية للتروس، أو نوع الـ gearing...
+
+60
+00:04:55,670 --> 00:04:57,490
+نوع الـ... الـ... الـ... الـ... الـ... الـ... الـ...
+
+61
+00:04:57,490 --> 00:04:57,650
+الـ... الـ... الـ... الـ... الـ... الـ... الـ...
+
+62
+00:04:57,650 --> 00:04:57,770
+الـ... الـ... الـ... الـ... الـ... الـ... الـ...
+
+63
+00:04:57,770 --> 00:04:58,870
+الـ... الـ... الـ... الـ... الـ... الـ... الـ...
+
+64
+00:04:58,870 --> 00:04:59,030
+الـ... الـ... الـ... الـ... الـ... الـ... الـ...
+
+65
+00:04:59,030 --> 00:05:00,990
+الـ... الـ... الـ... الـ... الـ... الـ... الـ...
+
+66
+00:05:00,990 --> 00:05:02,750
+الـ... الـ... الـ... الـ... الـ... الـ...
+
+67
+00:05:05,150 --> 00:05:09,170
+التصنيف الأول هو position of axis of shafts، يعني
+
+68
+00:05:09,170 --> 00:05:13,040
+يمكن تسميته هنا parallel shafts، parallel
+
+69
+00:05:13,040 --> 00:05:15,640
+عندنا هنا... عندي spur gears، و helical gears
+
+70
+00:05:15,640 --> 00:05:20,320
+helical gears، محور الترس الأول موازٍ لمحور الترس
+
+71
+00:05:20,320 --> 00:05:24,720
+الثاني، فبأسميه أعمدة متوازية، نفس الشيء، يوجد نوع
+
+72
+00:05:24,720 --> 00:05:29,300
+آخر، helical gears، العمود العلوي موازٍ للعمود
+
+73
+00:05:29,300 --> 00:05:33,060
+السفلي، وبالتالي أسميه parallel shafts، يعني هذا
+
+74
+00:05:33,060 --> 00:05:38,260
+position of axis of shafts، they are parallel، في
+
+75
+00:05:38,260 --> 00:05:42,620
+حالة أخرى، وهي intersecting axes،
+
+76
+00:05:42,620 --> 00:05:45,620
+يعني هذا محور الترس الأول، هذا
+
+77
+00:05:45,620 --> 00:05:49,300
+جاي أفقي، محور الترس الثاني جاي رأسي ومتقاطعان في
+
+78
+00:05:49,300 --> 00:05:53,540
+النقطة، يعني معناته عندي محورين متقاطعين، أيضاً هذا
+
+79
+00:05:53,540 --> 00:05:56,440
+الترس على اليمين، هذا محور
+
+80
+00:05:56,440 --> 00:06:00,740
+للترس، وهذا محور لترس آخر، المحاور متقاطعة، يعني
+
+81
+00:06:00,740 --> 00:06:04,220
+معناته intersecting axes of shafts
+
+82
+00:06:07,740 --> 00:06:11,900
+بالنسبة للثالث، قد تكون المحاور غير
+
+83
+00:06:11,900 --> 00:06:16,400
+متوازية وغير متقاطعة، كما نرى في الـ
+
+84
+00:06:16,400 --> 00:06:20,920
+worm gear، وهو ترس الدودة، هذا محور وهذا
+
+85
+00:06:20,920 --> 00:06:24,960
+محور، أولاً، المحاور ليست متوازية وليست
+
+86
+00:06:24,960 --> 00:06:27,140
+متقاطعة، هذه المحاور، والمحور...
+
+87
+00:06:27,140 --> 00:06:31,080
+بعيدان عن بعض بمسافة، والحالة الثالثة non
+
+88
+00:06:31,080 --> 00:06:33,740
+intersecting and non parallel
+
+89
+00:06:36,530 --> 00:06:39,270
+هذا التصنيف الأول، في التصنيف الأول للتروس
+
+90
+00:06:39,270 --> 00:06:43,490
+يوجد parallel shafts، يوجد
+
+91
+00:06:43,490 --> 00:06:47,710
+intersecting shafts، ويوجد non-intersecting non-
+
+92
+00:06:47,710 --> 00:06:51,510
+parallel shafts، التصنيف الثاني، تبعاً للصورة
+
+93
+00:06:51,510 --> 00:06:55,930
+المنحنية للتروس، الصورة المنحنية المقصود بها
+
+94
+00:06:55,930 --> 00:06:57,830
+عند الرجوع للشكل هنا
+
+95
+00:07:02,030 --> 00:07:05,970
+السرعة المحيطية هنا، نقطة التلامس ستكون هي التي
+
+96
+00:07:05,970 --> 00:07:08,630
+ستكون السرعة المحيطية، السرعة الظاهرية في نصف القطر
+
+97
+00:07:08,630 --> 00:07:14,970
+في هذا الاتجاه، السرعة المحيطية التي يمكن
+
+98
+00:07:14,970 --> 00:07:17,650
+تصنيفها low velocity، medium velocity، أو high
+
+99
+00:07:17,650 --> 00:07:19,430
+velocity، الـ low velocity، إذا كانت السرعة المحيطية
+
+100
+00:07:19,430 --> 00:07:21,990
+أقل من 3 متر/ثانية، أسميها low velocity
+
+101
+00:07:21,990 --> 00:07:25,970
+gearing، إذا كانت السرعة المحيطية بين 3 و 15
+
+102
+00:07:25,970 --> 00:07:29,030
+متر/ثانية، أسميها medium velocity، إذا كانت الـ
+
+103
+00:07:29,030 --> 00:07:31,590
+velocity أكثر من 15 متر/ثانية، أسميها high
+
+104
+00:07:31,590 --> 00:07:32,030
+velocity
+
+105
+00:07:35,120 --> 00:07:39,320
+طريقة التصنيف الثالثة، تبعاً لنوع الـ gears
+
+106
+00:07:39,320 --> 00:07:44,560
+يوجد external gearing، وأسنان
+
+107
+00:07:44,560 --> 00:07:48,040
+خارجية، يوجد على أقصى اليمين internal gearing،
+
+108
+00:07:48,040 --> 00:07:52,160
+وأسنان داخلية، يوجد هنا ترس بتسنين خارجي مع ترس
+
+109
+00:07:52,160 --> 00:07:55,920
+بتسنين داخلي، والنوع الثالث rack and pinion،
+
+110
+00:07:55,920 --> 00:07:58,840
+يوجد ترس مستقيم مع ترس دائري
+
+111
+00:08:03,090 --> 00:08:06,410
+التصنيف الرابع according to position of teeth on
+
+112
+00:08:06,410 --> 00:08:12,550
+gear surface، تبعاً لموضع الأسنان على سطح
+
+113
+00:08:12,550 --> 00:08:16,030
+الـ gear surface، يوجد ثلاثة أنواع، يوجد
+
+114
+00:08:16,030 --> 00:08:18,810
+straight، وهو ما يسمى spur، ويوجد الـ
+
+115
+00:08:18,810 --> 00:08:22,990
+inclined helical، ويوجد الـ curved spiral، سنرى الـ
+
+116
+00:08:22,990 --> 00:08:28,330
+straight، وهو spur، مثل هذا، هذا يسمى straight
+
+117
+00:08:28,330 --> 00:08:32,030
+tooth، السن مستقيم، السن مستقيم، يوجد
+
+118
+00:08:32,030 --> 00:08:34,890
+inclined، مثل النوع على اليمين هذا، ويوجد
+
+119
+00:08:34,890 --> 00:08:39,430
+spiral، ترون كيف يوجد ميلان، دوران للسن، الذي
+
+120
+00:08:39,430 --> 00:08:40,970
+نسميه spiral tooth
+
+121
+00:08:47,070 --> 00:08:50,590
+الآن لنرى المصطلحات الهندسية المستخدمة في الـ
+
+122
+00:08:50,590 --> 00:08:56,570
+gears،  أبين بعض المصطلحات، أبين عندي سن
+
+123
+00:08:56,570 --> 00:09:02,760
+أسنان، هذه الدائرة الخارجية تمثل
+
+124
+00:09:02,760 --> 00:09:07,340
+الـ outside diameter للترس، وله اسم
+
+125
+00:09:07,340 --> 00:09:11,080
+آخر، وهو الـ addendum circle، هذا
+
+126
+00:09:11,080 --> 00:09:15,920
+يسمى، وهذا الـ addendum circle، الدائرة السفليّة
+
+127
+00:09:15,920 --> 00:09:21,660
+التي هي الـ root circle، أو الـ dedendum circle، يوجد
+
+128
+00:09:21,660 --> 00:09:26,660
+دائرة بينهما نسميها الـ pitch circle، هذه الـ pitch
+
+129
+00:09:26,660 --> 00:09:32,120
+circle، يوجد الـ face width، سمك السن، face width
+
+130
+00:09:33,160 --> 00:09:37,700
+الذي هو القوة في الاتجاه الموازي لمحور الترس، الـ
+
+131
+00:09:37,700 --> 00:09:41,860
+السن مكوّن من جزئين رئيسيين، السن مكوّن
+
+132
+00:09:41,860 --> 00:09:46,060
+من جزئين رئيسيين، وهما الـ face و الـ flank، الـ face
+
+133
+00:09:46,060 --> 00:09:49,780
+هو الجزء الأعلى من خط الـ pitch circle، و الـ
+
+134
+00:09:49,780 --> 00:09:52,560
+flank هو الجزء من السطح تحت خط الـ pitch circle
+
+135
+00:09:57,220 --> 00:10:02,040
+يوجد الـ total depth، قبل معرفة الـ total depth، يوجد
+
+136
+00:10:02,040 --> 00:10:04,940
+هذه المسافة بين
+
+137
+00:10:04,940 --> 00:10:08,260
+الـ pitch circle و الـ addendum circle، هذه المسافة
+
+138
+00:10:08,260 --> 00:10:12,900
+نسميها الـ addendum، المسافة بين الـ pitch circle و
+
+139
+00:10:12,900 --> 00:10:16,400
+الـ dedendum circle، هذه المسافة نسميها الـ addendum
+
+140
+00:10:17,340 --> 00:10:20,520
+هذه المسافة، وهي الـ total depth، العمق
+
+141
+00:10:20,520 --> 00:10:23,920
+الكلي للسن، وهو مجموع الـ addendum زائد الـ
+
+142
+00:10:23,920 --> 00:10:29,300
+dedendum
+
+143
+00:10:29,300 --> 00:10:32,520
+يوجد ما يسمى بـ
+
+144
+00:10:32,520 --> 00:10:37,940
+clearance، هذه المنطقة، الـ clearance، و
+
+145
+00:10:37,940 --> 00:10:41,940
+الـ clearance  هو الذي يجعل السن الخارجي
+
+146
+00:10:41,940 --> 00:10:45,960
+لترس الثاني، لا يصل للنهاية، يصل
+
+147
+00:10:45,960 --> 00:10:49,020
+إلى هذه الدائرة، فيكون فراغ، هذا الفراغ نسميه
+
+148
+00:10:49,020 --> 00:10:52,700
+clearance، والمسافة المشتركة بين
+
+149
+00:10:52,700 --> 00:10:56,680
+الترسين، وهي مجموع الـ addendum لترس الـ driver
+
+150
+00:10:56,680 --> 00:11:02,200
+وللـ driven gear، نسميها الـ working
+
+151
+00:11:02,200 --> 00:11:08,450
+depth، عند الـ pitch circle، هذه المسافة نسميها
+
+152
+00:11:08,450 --> 00:11:12,590
+الـ tooth thickness، والمسافة من هنا إلى هنا،
+
+153
+00:11:12,590 --> 00:11:17,410
+هذا الفراغ، نسميه الـ tooth space، والمسافة
+
+154
+00:11:17,410 --> 00:11:21,390
+بين النقطة وتكرارها، بين هذه النقطة وهذه
+
+155
+00:11:21,390 --> 00:11:26,670
+النقطة، نسميها الـ circular pitch، هكذا
+
+156
+00:11:26,670 --> 00:11:30,570
+نكون قد غطينا المعلمات الهندسية للترس
+
+157
+00:11:30,570 --> 00:11:32,550
+للتروس
+
+158
+00:11:36,140 --> 00:11:39,520
+ما يسمى بزاوية الضغط pressure angle، الـ pressure angle، عندي
+
+159
+00:11:39,520 --> 00:11:43,620
+هذه ما يسمى بـ base circle، هذا الـ base circle
+
+160
+00:11:43,620 --> 00:11:48,640
+وهذا الـ pitch circle، وهذه الـ pitch point، و
+
+161
+00:11:48,640 --> 00:11:53,140
+هذا الـ pitch circle، الآن، إذا رسمنا خطاً من الـ pitch
+
+162
+00:11:53,140 --> 00:11:58,370
+point مماساً لـ base circle، هذا يمثل pressure
+
+163
+00:11:58,370 --> 00:12:02,290
+line، الذي تمثل فيه القوة بين السن والسن acting
+
+164
+00:12:02,290 --> 00:12:06,870
+along this line، الزاوية هذه بين العمودي
+
+165
+00:12:06,870 --> 00:12:11,150
+والخط المماس تسمى pressure angle،
+
+166
+00:12:11,150 --> 00:12:20,070
+وهي زاوية الضغط
+
+167
+00:12:20,070 --> 00:12:27,720
+لقد تحدثنا الآن عن ما يسمى backlash، backlash يعني
+
+168
+00:12:27,720 --> 00:12:33,380
+فراغاً، backlash يعني فراغاً، الـ backlash هو
+
+169
+00:12:33,380 --> 00:12:38,930
+الفرق بين الـ tooth space والـ tooth thickness،
+
+170
+00:12:38,930 --> 00:12:41,950
+as measured along the pitch circle، أي يوجد سن و
+
+171
+00:12:41,950 --> 00:12:45,910
+سن، يكونان ملتصقان ببعض، غير محكماً، يكون
+
+172
+00:12:45,910 --> 00:12:49,930
+فيه فراغ، هذا الفراغ بين الأسنان نسميه backlash، نظرياً
+
+173
+00:12:49,930 --> 00:12:54,270
+المفروض أن يكون صفراً، لكن في الممارسة العملية يجب
+
+174
+00:12:54,270 --> 00:12:58,590
+أن نسمح بوجود بعض الفراغ بين الأسنان لترس
+
+175
+00:12:58,590 --> 00:13:03,300
+الـ driver والـ driven، وإلاّ إذا
+
+176
+00:13:03,300 --> 00:13:06,720
+لم يكن هنالك فراغ، أي محكماً، سيحدث احتكاك بينهما
+
+177
+00:13:06,720 --> 00:13:11,480
+وسيكون تحريكهما صعباً، وإذا حدث ارتفاع في درجة الحرارة
+
+178
+00:13:11,480 --> 00:13:15,580
+نتيجة للاحتكاك، قد يحدث expansion، ويتوقف الترس عن الدوران
+
+179
+00:13:15,580 --> 00:13:19,300
+لذا يجب عملياً ترك فراغ بين الأسنان وهو
+
+180
+00:13:19,300 --> 00:13:26,180
+ما يسمى backlash
+
+181
+00:13:30,120 --> 00:13:33,740
+الـ circular pitch هي المسافة على محيط
+
+182
+00:13:33,740 --> 00:13:36,780
+الـ pitch circle من نقطة سن إلى نقطة مقابلة في السن
+
+183
+00:13:
+
+223
+00:16:25,990 --> 00:16:32,170
+ال law of gearing الآن .. الآن عشان
+
+224
+00:16:32,170 --> 00:16:36,110
+أضمن يصير conjugate أو positive drive between two
+
+225
+00:16:36,110 --> 00:16:54,090
+profiles هنخليّ ارسم عندي
+
+226
+00:16:54,090 --> 00:17:02,450
+هاي some rigid body له مركز دوران O واحد وفي
+
+227
+00:17:02,450 --> 00:17:06,310
+another rigid body
+
+228
+00:17:06,310 --> 00:17:16,290
+له
+
+229
+00:17:16,290 --> 00:17:17,070
+مركز دوران
+
+230
+00:17:19,920 --> 00:17:31,700
+O اثنين في نقطة التماس بين الاثنين اللي هي C عند
+
+231
+00:17:31,700 --> 00:17:39,820
+الجسم هذا بدور بسرعة زاوية O من جوا أحد معناه هذا
+
+232
+00:17:39,820 --> 00:17:45,960
+بدور في عكس عقارب الساعة يعني
+
+233
+00:17:45,960 --> 00:17:54,930
+أنا هيكون عندي هنوصل O1C نقطة
+
+234
+00:17:54,930 --> 00:17:58,850
+C ممكن اعتبرها كأنها نقطة، أدرسها كأنها نقطة موجودة
+
+235
+00:17:58,850 --> 00:18:02,010
+على ال body الأولاني، وكأنها نقطة موجودة على ال
+
+236
+00:18:02,010 --> 00:18:12,670
+body الثاني هتكون سرعة النقطة C هي عند VC1 هتكون
+
+237
+00:18:12,670 --> 00:18:15,150
+عمودية على VC1
+
+238
+00:18:17,410 --> 00:18:24,310
+مستوى omega واحد في O واحد C هذا كما لو كانت على
+
+239
+00:18:24,310 --> 00:18:27,830
+ال body الأول، يعني الآن كما لو كانت على ال body
+
+240
+00:18:27,830 --> 00:18:32,610
+الثاني خليني
+
+241
+00:18:32,610 --> 00:18:34,090
+بس أغير بالشكل شوية
+
+242
+00:18:48,950 --> 00:18:57,270
+هي O2 هتكون
+
+243
+00:18:57,270 --> 00:19:09,490
+عند Vc Vc2 طبعاً
+
+244
+00:19:09,490 --> 00:19:14,390
+هذا ال common normal، هذا ال common
+
+245
+00:19:18,920 --> 00:19:24,300
+هذا ال common normal
+
+246
+00:19:24,300 --> 00:19:31,660
+أو
+
+247
+00:19:31,660 --> 00:19:35,680
+خلّيني أرجع على الشكل الموجود على الشاشة، خلّيني
+
+248
+00:19:35,680 --> 00:19:38,600
+أرجع على الشكل الموجود على الشاشة، أنا ببين عندي
+
+249
+00:19:38,600 --> 00:19:46,950
+جسم، الجسم على الشاشة عندي، عند جسم واحد، الجسم الأخضر
+
+250
+00:19:46,950 --> 00:19:52,050
+وعندي جسم اثنين، الجسم الأزرق، الجسم واحد بدور حوالي
+
+251
+00:19:52,050 --> 00:19:59,070
+مركز O واحد بسرعة زاوية Omega واحد، الجسم 2 أكيد
+
+252
+00:19:59,070 --> 00:20:05,530
+هيدور بسرعة زاوية Omega 2، وفيه نقطة تلامس C، هذا هو
+
+253
+00:20:05,530 --> 00:20:09,570
+خط التماس بين الجسمين على النقطة C اللي هي common
+
+254
+00:20:09,570 --> 00:20:15,250
+tangent، والعمودي عليه هو ال common normal، ال
+
+255
+00:20:15,250 --> 00:20:22,080
+common normal، الآن النقطة C هيعتبرها مرة، مرة مشتركة
+
+256
+00:20:22,080 --> 00:20:24,520
+هي بين ال body واحد و ال body اثنين، إذا كانت على
+
+257
+00:20:24,520 --> 00:20:28,580
+ال body واحد هتكون VC واحد، هتكون سواء Omega واحد
+
+258
+00:20:28,580 --> 00:20:34,940
+في O واحد C، VC واحد بسواء Omega واحد في O واحد C
+
+259
+00:20:34,940 --> 00:20:40,160
+والنقطة
+
+260
+00:20:40,160 --> 00:20:43,740
+C لما تكون على ال body اثنين هتكون عند VC اثنين
+
+261
+00:20:43,740 --> 00:20:50,350
+بسواء Omega اثنين في O اثنين C، معناته VC اثنين VC2
+
+262
+00:20:50,350 --> 00:20:59,010
+ثم Omega 2 ثم O2C، الآن
+
+263
+00:20:59,010 --> 00:21:05,710
+ال
+
+264
+00:21:05,710 --> 00:21:11,650
+VC1 بتعمل زاوية Alpha مع ال common normal، ال VC
+
+265
+00:21:11,650 --> 00:21:14,730
+واحد هتعمل زاوية Alpha مع ال common normal، و ال
+
+266
+00:21:14,730 --> 00:21:21,090
+VC2 بتعمل زاوية Beta مع ال common normal، الآن ال
+
+267
+00:21:21,090 --> 00:21:25,410
+VC واحد ممكن أحلّله لمكوّنين، مكوّن في اتجاه ال
+
+268
+00:21:25,410 --> 00:21:29,860
+common normal، ومكوّن في اتجاه ال common tangent، و
+
+269
+00:21:29,860 --> 00:21:33,820
+نفس الشيء VC2 ممكن أحلّله لمكوّنين، مكوّن اتجاه
+
+270
+00:21:33,820 --> 00:21:37,080
+ال common normal، ومكوّن اتجاه ال common tangent
+
+271
+00:21:37,080 --> 00:21:39,940
+الآن المكوّن اتجاه ال common normal بهذا الاتجاه
+
+272
+00:21:39,940 --> 00:21:43,960
+اللي هي هتكون المكوّنة ال VC1 باتجاه ال common
+
+273
+00:21:43,960 --> 00:21:49,780
+normal هتكون VC1 cos α، المكوّن اتجاه ال common
+
+274
+00:21:49,780 --> 00:21:58,210
+normal VC1cos α، والمكوّن للجسم الثاني لل Vc2 تجاه
+
+275
+00:21:58,210 --> 00:22:08,170
+ال common normal هتكون Vc2 cos beta، Vc2 cos beta
+
+276
+00:22:08,170 --> 00:22:15,810
+الآن أطلع الزاوية، الزاوية Alpha، زاوية هذه Alpha
+
+277
+00:22:15,810 --> 00:22:22,880
+هتكون تساوي الزاوية، اللي هو M، طبعاً أنا بنزل عمودي
+
+278
+00:22:22,880 --> 00:22:26,960
+من O1 على M، عمودي على common Normal، وبنزل O2 عمودي
+
+279
+00:22:26,960 --> 00:22:34,880
+على common Normal O2N، لأن هتكون الزاوية M O1 C Alpha
+
+280
+00:22:34,880 --> 00:22:38,040
+بالزاوية
+
+281
+00:22:38,040 --> 00:22:52,390
+زاوية M O1 C، و Beta بالزاوية زاوية NO2C، معناته
+
+282
+00:22:52,390 --> 00:22:56,570
+cosine alpha، cosine
+
+283
+00:22:56,570 --> 00:23:04,790
+alpha هتساوي المثلث قائم الزاوية، هيكون O1M على O1C
+
+284
+00:23:04,790 --> 00:23:17,010
+O1M على O1C، و cosine beta هتكون تساوي O2N
+
+285
+00:23:18,190 --> 00:23:23,810
+على O2C، معناته
+
+286
+00:23:23,810 --> 00:23:30,010
+مكوّنة ال VC1 باتجاه الكومن نورمال هي VC1 هي عبارة عن
+
+287
+00:23:30,010 --> 00:23:43,810
+Omega 1 في O1C في Cos α، اللي هي O1M على O1C، هتساوي
+
+288
+00:23:44,870 --> 00:23:48,370
+هنحكي عن ال law of gearings، أنا في عندي two
+
+289
+00:23:48,370 --> 00:23:53,910
+bodies، one body is rotating about point O1،
+
+290
+00:23:53,910 --> 00:23:58,650
+another body بي rotate حوالي نقطة O2، الجسم
+
+291
+00:23:58,650 --> 00:24:03,350
+الأول بي دور بسرعة زاوية Omega 1، والجسم الثاني
+
+292
+00:24:03,350 --> 00:24:07,230
+أكيد هيدور بسرعة زاوية Omega 2، في نقطة التلامس
+
+293
+00:24:07,230 --> 00:24:11,710
+الجسمين، المتلامسين عند نقطة C، بنرسم اللي هو
+
+294
+00:24:11,710 --> 00:24:14,810
+العمودي، ال common normal at point C، هذا هو ال
+
+295
+00:24:14,810 --> 00:24:18,950
+common normal، وفي عندي ال common tangent، الآن
+
+296
+00:24:18,950 --> 00:24:24,600
+النقطة C ممكن تدرس باعتبارها نقطة على الجسم الأول، و
+
+297
+00:24:24,600 --> 00:24:28,320
+نقطة على الجسم الثاني، إذا درست النقطة C باعتبارها
+
+298
+00:24:28,320 --> 00:24:33,300
+على الجسم الأول هتكون VC واحد، VC واحد هتكون سواء O
+
+299
+00:24:33,300 --> 00:24:41,380
+واحد C في Omega واحد، وإذا درست النقطة C باعتبارها
+
+300
+00:24:41,380 --> 00:24:45,320
+على الجسم الثاني هتكون VC اثنين، بسواء Omega اثنين
+
+301
+00:24:45,320 --> 00:24:55,840
+في O اثنين C، الآن ال VC1 بتعمل
+
+302
+00:24:55,840 --> 00:25:00,520
+زاوية Alpha مع ال Common Normal، و VC2 بتعمل زاوية
+
+303
+00:25:00,520 --> 00:25:10,340
+Beta مع ال Common Tangent، الآن مكوّنة ال VC1 باتجاه
+
+304
+00:25:10,340 --> 00:25:16,130
+ال Common Normal عبارة عن VC1 Cos Alpha، ومكوّنة ال
+
+305
+00:25:16,130 --> 00:25:21,110
+VC2 باتجاه ال common normal بسواء VC2 Cos Beta
+
+306
+00:25:21,110 --> 00:25:27,670
+الآن مكوّنة ال VC1 باتجاه ال common normal ممكن
+
+307
+00:25:27,670 --> 00:25:33,970
+تكون تساوي، الاحتمالات تاعتها تكون تساوي أو أكبر أو
+
+308
+00:25:33,970 --> 00:25:39,690
+أقل من مكوّنة ال Vc2 في اتجاه ال common normal، نأخذ
+
+309
+00:25:39,690 --> 00:25:45,570
+الحالات الثلاث، لو كانت ال Vc1، طبعاً أذكر أن ال two
+
+310
+00:25:45,570 --> 00:25:49,650
+bodies are rigid bodies، لو كانت مكوّنة ال Vc1 اللي
+
+311
+00:25:49,650 --> 00:25:56,090
+هي V .. لو كانت Vc1 Cos Alpha أكبر من Vc2 Cos Beta
+
+312
+00:25:56,090 --> 00:25:59,630
+هينغرز الجسم الأولاني في الجسم الثاني، وهذا مستحيل
+
+313
+00:26:01,560 --> 00:26:06,540
+الحالة الثانية أن يكون مكوّنة ال VC1 في اتجاه ال
+
+314
+00:26:06,540 --> 00:26:10,620
+common normal أقل من مكوّنة ال VC2 في اتجاه ال
+
+315
+00:26:10,620 --> 00:26:14,980
+common normal، يعني VC1 cos α تكون أصغر من VC2 cos
+
+316
+00:26:14,980 --> 00:26:19,660
+β، في الحالة هذه we lose contact، هينفصل الجسمين عن
+
+317
+00:26:19,660 --> 00:26:23,410
+بعض، معناته .. برضه هذه الحالة ما تنفعش .. معناته
+
+318
+00:26:23,410 --> 00:26:28,450
+عشان أستمر بحالة التلامس الجسمي دائماً يبقى في
+
+319
+00:26:28,450 --> 00:26:33,330
+حالة تلامس، لازم مكوّنة ال VC1 باتجاه ال common
+
+320
+00:26:33,330 --> 00:26:36,730
+normal تساوي مكوّنة ال VC2 باتجاه ال common normal
+
+321
+00:26:36,730 --> 00:26:47,600
+يعني VC1 cos α لازم تساوي VC2 cos β، الآن VC1 احنا
+
+322
+00:26:47,600 --> 00:26:53,220
+حكينا، خلينا نعمل عمودي من O1 على ال common O1M، هذا
+
+323
+00:26:53,220 --> 00:26:56,900
+عمودي على ال common normal، وعمودي من نقطة O2 على ال
+
+324
+00:26:56,900 --> 00:27:03,000
+common O2N، معناته O2N عمودي على ال common normal، إذا
+
+325
+00:27:03,000 --> 00:27:08,810
+بتركّز كويس هتلاحظ أن زاوية Alpha ألفا بتساوي
+
+326
+00:27:08,810 --> 00:27:16,950
+الزاوية MO1C، والزاوية بيتا بتساوي الـ الـ الـ
+
+327
+00:27:16,950 --> 00:27:22,310
+الزاوية اللي هو NO2C
+
+328
+00:27:22,310 --> 00:27:28,850
+معناته هذه الزاوية بيتا، طيب معناته حصيلة عن دي
+
+329
+00:27:28,850 --> 00:27:36,960
+احنا حكينا VC1، VC1 Cos α بيساوي VC2 Cos β، و VC1
+
+330
+00:27:36,960 --> 00:27:42,000
+بيساوي Omega 1 O1C، و VC2 بيساوي Omega 2 O2C، و Cos
+
+331
+00:27:42,000 --> 00:27:49,700
+α بيساوي O1M على O1C، و Cos β O2N على O2C، بنعوّض في
+
+332
+00:27:49,700 --> 00:27:54,440
+المعادلة، هيدينا VC1، لـ OMEGA 1 في O1C كوساين ألفا O1M
+
+333
+00:27:54,440 --> 00:28:01,740
+على O1C، و في VC2 اللي هو OMEGA 2 OC2 في O2N على
+
+334
+00:28:01,740 --> 00:28:08,540
+O2C، بنختصر O1C مع O1C، و O2C مع O2C، بنحصّل عندي
+
+335
+00:28:08,540 --> 00:28:16,700
+OMEGA 1 في O1M، يعني حصّل عندي OMEGA 1 على OMEGA 2
+
+336
+00:28:18,590 --> 00:28:28,810
+بالساوي O2N على O1M، لأن إذا بأخذ
+
+337
+00:28:28,810 --> 00:28:35,750
+المثلثين، المثلثين، نرجع للشكل، المثلثين اللي هو O
+
+338
+00:28:35,750 --> 00:28:40,050
+واحد M
+
+339
+00:28:40,050 --> 00:28:45,250
+C و O2N
+
+340
+00:28:49,260 --> 00:29:00,040
+C، هيكون عندي O1M على O2N، لأ أنا بدي آخذ
+
+341
+00:29:00,040 --> 00:29:06,800
+المثلثين، مش هدول مثلثين، خلينا نمسح، هآخذ
+
+342
+00:29:06,800 --> 00:29:10,220
+أنا هوصل O1، هوصل O1 مع O2 بتقطع في
+
+343
+00:29:10,220 --> 00:29:22,910
+P، هآخذ المثلثين O1MP و O2N
+
+344
+00:29:22,910 --> 00:29:28,090
+P، هاندي
+
+345
+00:29:28,090 --> 00:29:49,120
+O1M P و O2N P، هيكون عندي O1M على O2N، بالساوي O1P
+
+346
+00:29:49,120 --> 00:29:58,420
+على O2P، يعني أحصّل أن عندي Omega 1 على Omega 2
+
+347
+00:29:58,420 --> 00:30:04,700
+بالساوي O2P
+
+348
+00:30:04,700 --> 00:30:10,940
+على O1P، معناته
+
+349
+00:30:10,940 --> 00:30:17,050
+ال law of gearing، عشان تكون Omega 1 على Omega 2
+
+350
+00:30:17,050 --> 00:30:22,390
+ثابتة، عشان تكون ثابتة
+
+351
+00:30:23,020 --> 00:30:29,100
+لازم يكون ال ratio O2P على O1P ثابتة، مع العلم P هي
+
+352
+00:30:29,100 --> 00:30:35,500
+نقطة التقاطع الخط الواصل بين مركز دوران O1 ومركز
+
+353
+00:30:35,500 --> 00:30:39,120
+دوران O2، وال common node at the point of contact
+
+354
+00:30:39,120 --> 00:30:42,000
+هذا يعني برضه عشان تكون أميغا واحد وأميغا اثنين
+
+355
+00:30:42,000 --> 00:30:46,640
+ثابتين، أن النقطة P تكون fixed، النقطة P هي اللي
+
+356
+00:30:46,640 --> 00:30:50,620
+بسميها ال pitch point، النقطة P تكون fixed، بسميها
+
+357
+00:30:50,620 --> 00:30:56,160
+ال pitch point، الآن ال Velocity of sliding، ال
+
+358
+00:30:56,160 --> 00:31:00,080
+Velocity of sliding along ال common tangent، عندي
+
+359
+00:31:00,080 --> 00:31:11,700
+الـ الـ الـ الـ Vs هتكون، هتكون VC1 Sin Alpha، VC1 Sin
+
+360
+00:31:11,700 --> 00:31:19,880
+Alpha minus VC2 Sin Beta
+
+361
+00:31:25,710 --> 00:31:30,190
+طبعاً احنا حكينا الـ sin α، يعني هيكون VC1 اللي هي
+
+362
+00:31:30,190 --> 00:31:43,470
+omega 1 في O1C في sin α، sin α اللي هي هتكون ..
+
+363
+00:31:43,470 --> 00:31:50,810
+sin α اللي هي هتكون MC على
+
+364
+00:31:50,810 --> 00:31:53,590
+O1C minus
+
+365
+00:31:55,290 --> 00:32:02,810
+VC2 اللي هي Omega 2 في O2C في Sine Beta، نطلع من
+
+366
+00:32:02,810 --> 00:32:11,150
+الشكل، Sine Beta بيساوي NC على
+
+367
+00:32:11,150 --> 00:32:19,330
+O2C، يعني هنختصر O1C مع O1C، O2C مع O2C، بالباقي Omega
+
+368
+00:32:19,330 --> 00:32:21,310
+1 MC
+
+369
+00:32:22,400 --> 00:32:30,360
+مينص أميغا اثنين NC، حيث ساوي اللحظة MC ممكن
+
+370
+00:32:30,360 --> 00:32:36,860
+أعتبرها عبارة عن two segments، الآن
+
+371
+00:32:36,860 --> 00:32:40,620
+ال
+
+372
+00:32:40,620 --> 00:32:44,340
+MC ال
+
+373
+00:32:44,340 --> 00:32:49,200
+V sliding بتساوي
+
+374
+00:32:50,590 --> 00:32:59,330
+أوميغا واحد MC مينص أوميغا اثنين في NC، بحيث تساوي
+
+375
+00:32:59,330 --> 00:33:04,670
+أوميغا واحد، ال MC هيتطلعوا على الشكل، ال MC بيساوي
+
+376
+00:33:04,670 --> 00:33:15,920
+MP زائد PC، MP زائد PC، مينص أوميغا اثنين ال NC، ال
+
+377
+00:33:15,920 --> 00:33:27,940
+NC عبارة عن NP  ناقص ال PC، ال NP ناقص ال NC، يعني
+
+378
+00:33:27,940 --> 00:33:38,860
+هتكون Omega 1 في ال NP ناقص Omega 2 في ال NP زائد
+
+379
+00:33:38,860 --> 00:33:43,300
+PC، مشترك
+
+380
+00:33:45,070 --> 00:33:51,110
+أنا غلطان هنا، دي الـ الـ الـ الـ الـ NP
+
+381
+00:33:51,110 --> 00:33:56,550
+ناقص ال PC ناقص
+
+382
+00:33:56,550 --> 00:34:05,110
+ال PC، PC في Omega واحد زائد Omega اثنين، لاحظوا أن
+
+383
+00:34:05,110 --> 00:34:11,110
+تشابه المثلثات O واحد MP و O اثنين NP، بيكون عندي
+
+384
+00:34:11,110 --> 00:34:19,560
+اللي هو أميغا واحد على أميغا اثنين، بالساوي أميغا واحد
+
+385
+00:34:19,560 --> 00:34:23,880
+على أميغا اثنين، بالساوي O1M على
+
+386
+00:34:23,880 --> 00:34:27,180
+O2N، بالساوي O1P على O2P
+
+387
+00:34:27,180 --> 00:34:37,160
+بالساوي MP على NP، معناته هذا هيكون بالساوي
+
+388
+00:34:37,160 --> 00:34:47,150
+NP على MP، معناته عندي أميغا واحد NB بيساوي
+
+389
+00:34:47,150 --> 00:34:52,490
+Omega 2 NB، معناته هدول أشاراتهم الـ two terms
+
+390
+00:34:52,490 --> 00:34:57,030
+بيروحوا مع بعض، معناته ال sliding velocity VS هتكون
+
+391
+00:34:57,030 --> 00:35:11,070
+PC في Omega 1 زائد Omega 2، معناته
+
+392
+00:35:11,070 --> 00:35:15,550
+ال sliding velocity، سرعة الانزلاق بين الـ two bodies
+
+393
+00:35:15,550 --> 00:35:20,210
+at the point of contact، بتعتمد على بعد ال pitch
+
+394
+00:35:20,210 --> 00:35:24,090
+point على ال contact point، إذا كانت ال pitch point
+
+395
+00:35:24,090 --> 00:35:27,830
+مطابقة مع ال contact point، بيكون بيكون ما عنديش
+
+396
+00:35:27,830 --> 00:35:31,970
+sliding، no sliding، فكل ما بعدت نقطة ال pitch
+
+397
+00:35:31,970 --> 00:35:34,250
+point على ال contact point، كل ما زاد ال sliding
+
+398
+00:35:34,250 --> 00:35:35,510
+between the two bodies
+
+39
+
+445
+00:39:21,850 --> 00:39:26,690
+الواصل بين مركز الـ pinion ومركز الـ gear مع الخط
+
+446
+00:39:26,690 --> 00:39:31,170
+اللي عند الـ pitch point بسميها نقطة pitch point
+
+447
+00:39:34,980 --> 00:39:40,740
+طبعا هذا الـ radius للـ base circle هذا الـ radius لل
+
+448
+00:39:40,740 --> 00:39:44,740
+pitch circle هذا الـ radius للـ outside diameter
+
+449
+00:39:47,970 --> 00:39:51,170
+لاحظوا في عندنا هنا.. طلع هنا في فراغ بين الـ
+
+450
+00:39:51,170 --> 00:39:54,330
+pinion في.. يعني في.. بيكون.. يعني نازل للأخر
+
+451
+00:39:54,330 --> 00:39:58,970
+بسميه الـ clearance، الـ clearance، الـ working depth
+
+452
+00:39:58,970 --> 00:40:05,310
+هو مجموع الـ addendum الـ
+
+453
+00:40:05,310 --> 00:40:08,990
+.. الـ total depth.. depth اللي هو مجموع الـ..
+
+454
+00:40:08,990 --> 00:40:11,330
+اللي هو.. هذا هو الـ working depth.. هذا هو الـ
+
+455
+00:40:11,330 --> 00:40:15,680
+working depth، الـ total depth هو عمق السن كله من الـ
+
+456
+00:40:15,680 --> 00:40:20,740
+root.. من الـ root للـ.. للـ outside diameter
+
+457
+00:40:20,740 --> 00:40:23,580
+total depth احنا عارفين أنَّها بِالساويّة اللي هو الـ
+
+458
+00:40:23,580 --> 00:40:27,980
+addendum زائد addendum، الـ working depth هو مجموع الـ
+
+459
+00:40:27,980 --> 00:40:32,480
+addendum للـ pinion زائد الـ addendum للـ.. للـ.. للـ
+
+460
+00:40:32,480 --> 00:40:37,830
+gear، طبعا هذا الـ base radius للجير، هذا الـ pitch
+
+461
+00:40:37,830 --> 00:40:42,910
+radius للجير، هذا الـ outside radius للجير، هذا
+
+462
+00:40:42,910 --> 00:40:47,910
+يسمى الـ top land، هذا الـ involute profile، وفي
+
+463
+00:40:47,910 --> 00:40:51,670
+عندي بتكون هنا وهنا في زي دوران خفيف يسمى الـ
+
+464
+00:40:51,670 --> 00:40:55,650
+fillet، الـ fillet بتكون عاملة اللي هي دوران بين الـ
+
+465
+00:40:55,650 --> 00:40:59,150
+root circle أو الـ dedendum circle و الـ involute
+
+466
+00:40:59,150 --> 00:41:03,270
+profile، هذا الكلام حكيناه بس أنا حابب أُعيده عشان
+
+467
+00:41:03,270 --> 00:41:10,030
+ينرسخ المعلومة الآن
+
+468
+00:41:10,030 --> 00:41:16,630
+أنا عندي ترسين، ترس مركز دورانه O1، they are in mesh
+
+469
+00:41:16,630 --> 00:41:20,990
+و الترس الثاني الـ driven اللي هو الجير مركز دورانه
+
+470
+00:41:20,990 --> 00:41:26,050
+عند O2، الخط الواصل بين A1 و A2 بسميه الـ center
+
+471
+00:41:26,050 --> 00:41:30,400
+distance، النقطة الطبيعية الآن هاد الـ base circle
+
+472
+00:41:30,400 --> 00:41:34,540
+هاد الـ base circle للـ driver، هاد الـ base circle للـ
+
+473
+00:41:34,540 --> 00:41:37,980
+driven، الخط الـ tangent between the two base
+
+474
+00:41:37,980 --> 00:41:43,600
+circles بسميه line of action، الزاوية هاد بسميها الـ
+
+475
+00:41:43,600 --> 00:41:48,220
+pressure angle، زاوية الضغط، الآن الـ force اللي
+
+476
+00:41:48,220 --> 00:41:55,280
+بتأثر بين الأسنان اللي صار تعشيق بينهم اللي هي F
+
+477
+00:41:55,990 --> 00:42:00,950
+لها مركبتين، واحدة بتجاه F tangential، واحدة بتجاه
+
+478
+00:42:00,950 --> 00:42:04,770
+الـ vertical F radial، يعني الـ total force اللي هي
+
+479
+00:42:04,770 --> 00:42:08,850
+بتأثر بتجاه line of action لها مركبتين، واحدة
+
+480
+00:42:08,850 --> 00:42:12,470
+tangential component، يعني الـ pitch circle، واحدة
+
+481
+00:42:12,470 --> 00:42:14,990
+radial بتجاه مركز الترس
+
+482
+00:42:18,220 --> 00:42:22,300
+الـ torque، العزم.. العزم هيكون يساوي الـ
+
+483
+00:42:22,300 --> 00:42:25,740
+tangential force في نصف القطر، F tangential في نصف
+
+484
+00:42:25,740 --> 00:42:30,480
+القطر، F tangential بيساوي F cosine في، و F radial
+
+485
+00:42:30,480 --> 00:42:39,940
+بيساوي F sin في، طيب
+
+486
+00:42:39,940 --> 00:42:45,880
+الـ systems of gear teeth، أنظمة الأسنان في التروس
+
+487
+00:42:46,920 --> 00:42:50,520
+إحنا هندرس الآن في الـ course هذا four systems of
+
+488
+00:42:50,520 --> 00:42:53,240
+gear teeth are in common practice، في اللي هو اللي
+
+489
+00:42:53,240 --> 00:42:57,640
+في الممارسة الهندسية العملية، في عندي أربعة أنظمة
+
+490
+00:42:57,640 --> 00:43:00,920
+للأسنان، للأسنان، في عندي الـ 14.5 composite
+
+491
+00:43:00,920 --> 00:43:03,460
+system، 14.5 degree، اللي لما بيحكي أربعة
+
+492
+00:43:03,460 --> 00:43:06,060
+عشرة و نص يعني بيحكي على pressure angle Φ في
+
+493
+00:43:06,060 --> 00:43:10,050
+عندي 14.5 full depth involute system، في
+
+494
+00:43:10,050 --> 00:43:13,210
+عندي 20 degree full-depth involute system، وفي
+
+495
+00:43:13,210 --> 00:43:16,910
+20 degree stub involute system، stub involute
+
+496
+00:43:16,910 --> 00:43:21,650
+يعني السن بيكون قصير، سن الترس بيكون قصير، الـ
+
+497
+00:43:21,650 --> 00:43:26,290
+pressure angle، أنا جايب لكم جدول اللي مبين أمامي
+
+498
+00:43:26,290 --> 00:43:29,390
+مبين اللي هو أنظمة اللي هي 14.5 composite
+
+499
+00:43:29,390 --> 00:43:33,490
+or full-depth والـ 20 degree full-depth والـ 20
+
+500
+00:43:33,490 --> 00:43:38,140
+degree stub، أمارجيني قيم الـ addendum والـ dedendum
+
+501
+00:43:38,140 --> 00:43:40,920
+والـ working depth والـ minimum total depth والـ
+
+502
+00:43:40,920 --> 00:43:43,080
+tooth thickness والـ minimum clearance والـ fillet
+
+503
+00:43:43,080 --> 00:43:47,080
+radius at the root as a function of module، يعني في
+
+504
+00:43:47,080 --> 00:43:50,160
+حالة في حالة 14.5 composite or full
+
+505
+00:43:50,160 --> 00:43:54,780
+depth tooth، الـ addendum بيساوي واحد في الموديول، الـ
+
+506
+00:43:54,780 --> 00:43:57,740
+dedendum بيساوي واحد وربع في الموديول، الـ working
+
+507
+00:43:57,740 --> 00:44:02,530
+depth بيساوي اللي هي اثنين في الموديول، الـ total
+
+508
+00:44:02,530 --> 00:44:05,450
+depth اللي هو عبارة عن addendum زائد addendum واحد
+
+509
+00:44:05,450 --> 00:44:09,330
+زائد واحد وربع اللي هي اثنين وربع في الموديول، الـ
+
+510
+00:44:09,330 --> 00:44:13,970
+tooth thickness بيساوي 1.57 أو 1.58 في
+
+511
+00:44:13,970 --> 00:44:18,110
+الموديول، الـ minimum clearance ربع الموديول، الـ
+
+512
+00:44:18,110 --> 00:44:21,170
+fillet radius at the root بيساوي 0.4 في
+
+513
+00:44:21,170 --> 00:44:25,390
+الموديول، طيب
+
+514
+00:44:25,390 --> 00:44:27,470
+نحِلّ الـ example
+
+515
+00:44:46,850 --> 00:44:53,290
+نقرأ السؤال: a single reduction gear of 120
+
+516
+00:44:53,290 --> 00:44:58,990
+kilowatt الـ power عندي، يعني الـ power بيساوي 120
+
+517
+00:44:58,990 --> 00:45:03,390
+كيلوواط، with
+
+518
+00:45:03,390 --> 00:45:07,650
+a pinion، الـ pinion بتاع 250 ملي متر pitch circle
+
+519
+00:45:07,650 --> 00:45:13,170
+diameter، هاي الـ pinion وهاي
+
+520
+00:45:13,170 --> 00:45:13,550
+الـ gear
+
+521
+00:45:19,280 --> 00:45:25,860
+هاد الـ gear وده
+
+522
+00:45:25,860 --> 00:45:30,820
+pinion، الـ pitch circle diameter للـ pinion دي للـ
+
+523
+00:45:30,820 --> 00:45:36,500
+pinion بيساوي 250 ملي متر، قطر الـ pitch
+
+524
+00:45:36,500 --> 00:45:41,420
+circle للـ pinion 250 ملي متر، والـ speed
+
+525
+00:45:41,420 --> 00:45:45,240
+بتاعة الـ pinion، الـ N
+
+526
+00:45:48,530 --> 00:45:57,250
+650 rpm، 650 rpm
+
+527
+00:45:57,250 --> 00:46:03,570
+الـ supported on bearings on either side، calculate
+
+528
+00:46:03,570 --> 00:46:06,910
+the total load due to the power it transmitted
+
+529
+00:46:06,910 --> 00:46:13,390
+الآن طبعا هيكون عندي هاي الـ total load
+
+530
+00:46:17,150 --> 00:46:25,030
+F، وهدا هتكون الـ pressure angle، فيه هيكون لها
+
+531
+00:46:25,030 --> 00:46:35,590
+مركبتين F tangential و F radial، الـ F tangential
+
+532
+00:46:35,590 --> 00:46:39,450
+بيساوي
+
+533
+00:46:39,450 --> 00:46:44,410
+F cosine في
+
+534
+00:46:46,610 --> 00:46:51,530
+الـ Φ معطى، هو بمناسبة الـ Φ بيساوي 20 درجة
+
+535
+00:46:51,530 --> 00:46:55,950
+الـ
+
+536
+00:46:55,950 --> 00:47:00,110
+..الـ..الـ torque بيساوي
+
+537
+00:47:00,110 --> 00:47:07,050
+F tangential في الـ radius، و
+
+538
+00:47:07,050 --> 00:47:12,010
+الـ power بيساوي الـ torque في ω
+
+539
+00:47:15,670 --> 00:47:20,710
+نعوض، يعني الـ power، يعني الـ torque هيكون بيساوي الـ
+
+540
+00:47:20,710 --> 00:47:26,690
+power عندي 120 في 1000 على ω، ω
+
+541
+00:47:26,690 --> 00:47:30,910
+خليني أحسبه على جنب، يعني ω بيساوي 650
+
+542
+00:47:30,910 --> 00:47:34,870
+بدي أحولها الـ rad/sec، في 2π
+
+543
+00:47:34,870 --> 00:47:36,690
+على 60
+
+544
+00:48:06,370 --> 00:48:11,850
+وبتطلع 68.03 rad/sec، هي دي الـ ω، يعني أنا
+
+545
+00:48:11,850 --> 00:48:19,430
+هقسم هنا على 68.03، يعني الـ
+
+546
+00:48:19,430 --> 00:48:24,830
+torque هيطلع 120
+
+547
+00:48:24,830 --> 00:48:28,750
+في 1000 تقسيم
+
+548
+00:48:35,420 --> 00:48:39,220
+68.03 بتطلع 1764.64 نيوتن متر، حكينا الـ torque بيساوي F
+
+551
+00:48:56,760 --> 00:48:58,260
+tangential في R
+
+552
+00:49:04,480 --> 00:49:07,980
+هي عن الـ after engine shell، هتكون بيساوي الـ torque
+
+553
+00:49:07,980 --> 00:49:10,980
+على الـ radius، الـ torque اللي هو 1764.64، الـ radius أنا عندي القطر معطى
+
+554
+00:49:10,980 --> 00:49:14,220
+250، معناته الـ radius بتساوي 125
+
+555
+00:49:14,220 --> 00:49:16,220
+على 1000
+
+556
+00:49:16,220 --> 00:49:24,400
+تقسيم
+
+557
+00:49:24,400 --> 00:49:28,680
+بتطلع
+
+558
+00:49:28,680 --> 00:49:30,880
+14116.32 نيوتن، الـ
+
+559
+00:49:34,270 --> 00:49:39,810
+F tangential، هذه بيساوي F Cos
+
+560
+00:49:39,810 --> 00:49:48,110
+في في في في في في في في في في في
+
+561
+00:49:48,110 --> 00:49:48,930
+في في في في في في في في في في
+
+562
+00:49:48,930 --> 00:49:49,390
+في في في في في في في في في في
+
+563
+00:49:49,390 --> 00:49:52,490
+في في في في في في في في في في في
+
+564
+00:49:52,490 --> 00:49:55,230
+في في في في في في في
+
+565
+00:50:19,340 --> 00:50:24,540
+بتطلع 15174.2 نيوتن.. معناته الـ total load اللي هو F
+
+566
+00:50:24,540 --> 00:50:28,460
+بيساوي 15174.2 نيوتن.. يعني حوالي
+
+567
+00:50:28,460 --> 00:50:32,540
+15 كيلو نيوتن.. هكذا يكون أنهينا المحاضرة
+
+568
+00:50:32,540 --> 00:50:36,200
+الأولى في مادة نظرية الآلات.. المرة الجاية بنكمل
+
+569
+00:50:36,200 --> 00:50:39,680
+في المحاضرة الثانية.. عطيكم العفو
+
+570
+00:50:39,680 --> 00:50:41,580
+في المحاضرة الثانية.. وعليكم العفو
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2wBRACQ_YUk_postprocess.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2wBRACQ_YUk_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..5dc874e7df44c3f98fb6215b0169e96edb385702
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2wBRACQ_YUk_postprocess.srt
@@ -0,0 +1,2280 @@
+1
+00:00:05,200 --> 00:00:08,480
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,480 --> 00:00:11,820
+وبركاته، اليوم هنستقنف محاضراتنا في مادة نظرية
+
+3
+00:00:11,820 --> 00:00:16,000
+الآلات، هنبدأ شابتر جديد اللي هو الـ tooth gearing
+
+4
+00:00:16,000 --> 00:00:21,280
+أو التروس، بالشابتر هذا هنفهم النظرية الأساسية
+
+5
+00:00:21,280 --> 00:00:29,050
+اللي عمل التروسالمواصفات الهندسية للترس المعايير
+
+6
+00:00:29,050 --> 00:00:34,250
+المستخدمة في التروس وبعض الحسابات اللازمة للتروس
+
+7
+00:00:34,250 --> 00:00:38,250
+بحيث نتجنب يصير تداخلات بين اللي هو ال two gears
+
+8
+00:00:38,250 --> 00:00:44,250
+انمش هنبدأ ب .. بما يسمى ال friction .. بما يسمى
+
+9
+00:00:44,250 --> 00:00:47,250
+ال friction wheels أنا مبين عندي هنا
+
+10
+00:00:50,810 --> 00:00:56,970
+انبين عندى .. عندى two wheels wheel A و wheel B
+
+11
+00:00:56,970 --> 00:01:02,050
+متلامساتين عند النقطة اللى انبينها على الشاشة ال
+
+12
+00:01:02,050 --> 00:01:06,970
+wheel A بتدور باتجاه عقارب الساعة ال wheel B أكيد
+
+13
+00:01:06,970 --> 00:01:12,190
+هتدور بعكس عقارب الساعة لأن في polling force P
+
+14
+00:01:12,190 --> 00:01:19,660
+بتخلى ال wheel A تلفالان نتجة ال friction لان في
+
+15
+00:01:19,660 --> 00:01:24,040
+رد فعل عمودي من a على b و من b على a ب .. اللي هي
+
+16
+00:01:24,040 --> 00:01:28,900
+normal force RN نتجة normal force و في احتكاك بين
+
+17
+00:01:28,900 --> 00:01:32,520
+ال wheel a و ال wheel b هتصير ال frictional force
+
+18
+00:01:32,520 --> 00:01:39,280
+الان ال motion هتنتقل الحركة هتنتقل من a لb بس
+
+19
+00:01:39,280 --> 00:01:45,040
+اللي هتصير اتجاه الحركة هينعكس لان طالما ان قوة ال
+
+20
+00:01:45,040 --> 00:01:51,160
+.. قوة Pأعلى من قوة الاحتكاك F بساوة Mu في R N
+
+21
+00:01:51,160 --> 00:01:55,120
+هيكون في عندى ال Velocity Ratio هضلها ثابتة بين A
+
+22
+00:01:55,120 --> 00:02:01,000
+و B إذا ال P قيمة ال force P كانت أعلى من قيمة قوة
+
+23
+00:02:01,000 --> 00:02:05,180
+الاحتكاك هيصير انزلاق لمحالة بين ال A و ال B و
+
+24
+00:02:05,180 --> 00:02:10,040
+هتبطل علاقة السرعة بين B و A ثابتة معناته في
+
+25
+00:02:10,040 --> 00:02:14,490
+الحالة هذه ال friction wheelsبيعطونيش positive
+
+26
+00:02:14,490 --> 00:02:16,630
+drive، إيش يعني positive drive؟ positive drive
+
+27
+00:02:16,630 --> 00:02:20,910
+يعني دايما بتكون ال .. النسبة بين سرعة A و سرعة B
+
+28
+00:02:20,910 --> 00:02:25,330
+ثابتة، إذا صار انزلاق عند إيه مش هت .. هتبطل ثابتة
+
+29
+00:02:25,330 --> 00:02:27,610
+وبالتالي it is not positive drive
+
+30
+00:02:32,140 --> 00:02:37,780
+الان عشان احصل على positive drive بعمل انا كأنه
+
+31
+00:02:37,780 --> 00:02:41,260
+شايفين الدائرة الزرقاء قاعدة كأنا friction disk و
+
+32
+00:02:41,260 --> 00:02:43,820
+هاد ال friction disk لكن في عندى الان صار فيه
+
+33
+00:02:43,820 --> 00:02:49,680
+أسنان فبصير نقل الحركة بشكل دفعي، نقل الحركة بيصير
+
+34
+00:02:49,680 --> 00:02:53,020
+الان سن بدفع على سن يعني في عندك pushing action
+
+35
+00:02:53,510 --> 00:02:56,750
+عندهين ال driver وعندهين ال follower ال driver it
+
+36
+00:02:56,750 --> 00:03:00,870
+pushes on the tooth of the driven وبالتالي مافيش
+
+37
+00:03:00,870 --> 00:03:07,090
+مجال يصير اي انزلاق وبالتالي النسبة بين سرعة ال
+
+38
+00:03:07,090 --> 00:03:12,070
+driver على ال driven او العكس بتظل ثابتة ومافيش
+
+39
+00:03:12,070 --> 00:03:17,670
+عنده sliding action الآن
+
+40
+00:03:17,670 --> 00:03:22,290
+ال gears اللي لها مزايا وليها عيوبمزايا الـ gears
+
+41
+00:03:22,290 --> 00:03:27,090
+انها تنقل الحركة
+
+42
+00:03:27,090 --> 00:03:34,970
+بين two shafts والولوستريشف يظل ثابتة رقم اتنين
+
+43
+00:03:34,970 --> 00:03:40,380
+يتم نقل كمية كبيرة من الطاقة من shaft ل shaftالـ
+
+44
+00:03:40,380 --> 00:03:43,060
+efficiency بتاعة الـ gears في لقل حركة عالية جدا
+
+45
+00:03:43,060 --> 00:03:48,840
+ممكن تتخطى ل 95% رقم أربع reliable service يعني
+
+46
+00:03:48,840 --> 00:03:54,580
+يعني الخدمة اللي نخدها يعتد بيها و تعطينا خدمة
+
+47
+00:03:54,580 --> 00:04:00,280
+لفترة طويلة رقم خمسة ممكن أرفع السرعة أو أقلل
+
+48
+00:04:00,280 --> 00:04:03,640
+السرعة من shaft ل shaft ب compact layout compact
+
+49
+00:04:03,640 --> 00:04:05,980
+layout يعني بحجم صغير نسبيا
+
+50
+00:04:09,190 --> 00:04:14,570
+العيوب بتاعة ال gear drives disadvantage أول شيء
+
+51
+00:04:14,570 --> 00:04:20,090
+تصنيع للتروس يتطلب عدد و أدوات خاصة فهذه أحد
+
+52
+00:04:20,090 --> 00:04:25,850
+العيوب رقم اتنين أي خطأ في قطع الأسنان ممكن يؤدي
+
+53
+00:04:25,850 --> 00:04:30,330
+لاحتزازات ميكانيكية وبالتالي بيؤدي للضجيج خلال
+
+54
+00:04:30,330 --> 00:04:31,990
+عملية نقل الحركة
+
+55
+00:04:35,230 --> 00:04:39,950
+الان تصنف ال .. ال .. ال truth طبقا للتالية ممكن
+
+56
+00:04:39,950 --> 00:04:43,170
+اصلا ال truth .. ال truth طبقا لل position of axis
+
+57
+00:04:43,170 --> 00:04:48,750
+of شاسم مواضع محاور الأعمدة اللي راكب عليها ال
+
+58
+00:04:48,750 --> 00:04:52,650
+truth او اتنين ال preferable velocity of gears
+
+59
+00:04:52,650 --> 00:04:55,670
+السرعة المحطية لل truth او النوع ال gearing ..
+
+60
+00:04:55,670 --> 00:04:57,490
+النوع ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+61
+00:04:57,490 --> 00:04:57,650
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+62
+00:04:57,650 --> 00:04:57,770
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+63
+00:04:57,770 --> 00:04:58,870
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+64
+00:04:58,870 --> 00:04:59,030
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+65
+00:04:59,030 --> 00:05:00,990
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+66
+00:05:00,990 --> 00:05:02,750
+.. ال .. ال .. ال .. ال .. ال .. ال ..
+
+67
+00:05:05,150 --> 00:05:09,170
+التصنيف الأول هو position of axis of shares يعني
+
+68
+00:05:09,170 --> 00:05:13,040
+ممكن أسميه هنا عندهال parallel .. parallel shafts
+
+69
+00:05:13,040 --> 00:05:15,640
+عندي هين .. عندي هين sparky high stairs و high
+
+70
+00:05:15,640 --> 00:05:20,320
+stairs محور الترس الأولاني موازي لمحور الترس
+
+71
+00:05:20,320 --> 00:05:24,720
+التاني فبسميه أعمدة متوازية نفس الشيء في عندي نوع
+
+72
+00:05:24,720 --> 00:05:29,300
+تاني عندي helical gears العمود العلوي موازي للعمود
+
+73
+00:05:29,300 --> 00:05:33,060
+السفلي وبتالي بسميه parallel shafts معناته هذا ال
+
+74
+00:05:33,060 --> 00:05:38,260
+position of axis of shafts they are parallelفي
+
+75
+00:05:38,260 --> 00:05:42,620
+حالة تانية اللي هي ال .. اللي هو intersecting axes
+
+76
+00:05:42,620 --> 00:05:45,620
+يعني دي هاي .. هاي محور ال .. محور الترس هذا، هاي
+
+77
+00:05:45,620 --> 00:05:49,300
+جاي أفقي، محور الترس هذا جاي رأسي و متقاطعين في
+
+78
+00:05:49,300 --> 00:05:53,540
+المصر، يعني معناته عندي محورين متقاطعين، برضه هذا
+
+79
+00:05:53,540 --> 00:05:56,440
+الترس اللي على اليمين، يعني دي هاي محور ل ..
+
+80
+00:05:56,440 --> 00:06:00,740
+للترس، وهي محور لترس تاني، المحاور متقاطعة، يعني
+
+81
+00:06:00,740 --> 00:06:04,220
+معناته عندي intersecting axes of shirts
+
+82
+00:06:07,740 --> 00:06:11,900
+الان بالنسبة للشخص ممكن يكون عنده المحاور غير
+
+83
+00:06:11,900 --> 00:06:16,400
+متوازية و غير متقاطع زي ما انا شايف عندهن عندهن ال
+
+84
+00:06:16,400 --> 00:06:20,920
+warm gear اللي هو ترس الدودة عند هاي محور و هاي
+
+85
+00:06:20,920 --> 00:06:24,960
+محور هن اول شي المحور هن لا هم متوازين ولا هم
+
+86
+00:06:24,960 --> 00:06:27,140
+متقاطعين يعني هي عندهاي المحور هذا و المحور ..
+
+87
+00:06:27,140 --> 00:06:31,080
+بعيدين عن بعض في مسافة و معناته الحالة التالتة non
+
+88
+00:06:31,080 --> 00:06:33,740
+.. non intersecting and non parallel
+
+89
+00:06:36,530 --> 00:06:39,270
+هذا التصنيف الأول بيعني في التصنيف الأول لل truth
+
+90
+00:06:39,270 --> 00:06:43,490
+في عندي parallel .. parallel shafts في عندي
+
+91
+00:06:43,490 --> 00:06:47,710
+intersecting shafts و في عندي non-intersecting non
+
+92
+00:06:47,710 --> 00:06:51,510
+-parallel shafts التصنيف التاني طبقا للصورة
+
+93
+00:06:51,510 --> 00:06:55,930
+المنحوطية لل truth الصورة المنحوطية المقصود فيها
+
+94
+00:06:55,930 --> 00:06:57,830
+لما نرجع على الشكل هنا
+
+95
+00:07:02,030 --> 00:07:05,970
+السرعة المحطية هنا النقطة التلامس بتكون هي اللي هي
+
+96
+00:07:05,970 --> 00:07:08,630
+هتكون السرعة المحطية السرعة الذهبية في نص القطر
+
+97
+00:07:08,630 --> 00:07:14,970
+بتكون في هذا الاتجاه السرعة المحطية اللي ممكن
+
+98
+00:07:14,970 --> 00:07:17,650
+اصنفها low velocity medium velocity او high
+
+99
+00:07:17,650 --> 00:07:19,430
+velocity ال low velocity اذا كانت السرعة المحطية
+
+100
+00:07:19,430 --> 00:07:21,990
+اقل من تلاتة متر على التاني بسميها low velocity
+
+101
+00:07:21,990 --> 00:07:25,970
+gearingإذا كانت الصرارة حطية بين تلاتة ولا خمساشر
+
+102
+00:07:25,970 --> 00:07:29,030
+متر على ثانية واسمها medium velocity إذا كانت ال
+
+103
+00:07:29,030 --> 00:07:31,590
+velocity أكتر من خمساشر متر على ثانية واسمها high
+
+104
+00:07:31,590 --> 00:07:32,030
+velocity
+
+105
+00:07:35,120 --> 00:07:39,320
+التصنيف طريقة التصنيف التالت طبقا للنوع ال gears
+
+106
+00:07:39,320 --> 00:07:44,560
+فى عندى هنا النوع الأول external gearing وسنانات
+
+107
+00:07:44,560 --> 00:07:48,040
+خارجية فى عندى على أقصى اليمين internal gearing
+
+108
+00:07:48,040 --> 00:07:52,160
+وسنانات داخلية عندهاى ترس تسنينه خارجي مع ترس
+
+109
+00:07:52,160 --> 00:07:55,920
+تسنينه داخلي والنوع التالت اللى هو rack and pinion
+
+110
+00:07:55,920 --> 00:07:58,840
+فى عندى ترس عدل مع ترس مدورة
+
+111
+00:08:03,090 --> 00:08:06,410
+التصنيف الرابع according to position of teeth on
+
+112
+00:08:06,410 --> 00:08:12,550
+gear surface طبقا لموضع اللي هو الاسنان على ال ..
+
+113
+00:08:12,550 --> 00:08:16,030
+ال gear surface فى عندى اللي هو تلت أنواع فى عندى
+
+114
+00:08:16,030 --> 00:08:18,810
+ال straight اللي هو يسمى ال spar و عندى ال
+
+115
+00:08:18,810 --> 00:08:22,990
+inclined helical و عندى ال curved spiral هنشوف ال
+
+116
+00:08:22,990 --> 00:08:28,330
+straight اللي هو ال sparزي هذا، هذا يسمى straight
+
+117
+00:08:28,330 --> 00:08:32,030
+tooth، الإسنان عدلة، الإسنان عدلة، في عندنا
+
+118
+00:08:32,030 --> 00:08:34,890
+inclined زي النوع اللي على اليمين هذا وفي عندي
+
+119
+00:08:34,890 --> 00:08:39,430
+spiral، شايفين كيف عند السن فيه ميلان، دوران، اللي
+
+120
+00:08:39,430 --> 00:08:40,970
+بسميه spiral tooth
+
+121
+00:08:47,070 --> 00:08:50,590
+الان خلينا نشوف ال geometric terms المستخدمة في ال
+
+122
+00:08:50,590 --> 00:08:56,570
+gears انا عندهين انبين جزء من terms انبين عندى سن
+
+123
+00:08:56,570 --> 00:09:02,760
+سنينعند الدائرة الخارجية هذه الدائرة الخارجية تمثل
+
+124
+00:09:02,760 --> 00:09:07,340
+ال outside diameter لل .. لل .. للترس ويلها اسم
+
+125
+00:09:07,340 --> 00:09:11,080
+تاني اللي هي ال addendum ال addendum circle هذا
+
+126
+00:09:11,080 --> 00:09:15,920
+يسمى الحمرا هذا ال addendum circle الدائرة السفلية
+
+127
+00:09:15,920 --> 00:09:21,660
+اللي هي ال root circle أو ال addendum circleفي
+
+128
+00:09:21,660 --> 00:09:26,660
+دائرة بينهم بسموها ال pitch circle هذه ال pitch
+
+129
+00:09:26,660 --> 00:09:32,120
+circle في عندي ال face width سماكة السن face width
+
+130
+00:09:33,160 --> 00:09:37,700
+اللي هو strength بالتجاه الموازية لمحور الترس ال
+
+131
+00:09:37,700 --> 00:09:41,860
+.. ال .. السن مكوّن جزئين رئيسيين .. السن مكوّن
+
+132
+00:09:41,860 --> 00:09:46,060
+جزئين رئيسيين اللي هو ال face و ال flank ال face
+
+133
+00:09:46,060 --> 00:09:49,780
+هو جزء أعلى ال pitch line ال pitch circle و ال
+
+134
+00:09:49,780 --> 00:09:52,560
+flank هو جزء من ال surface تحت ال pitch circle
+
+135
+00:09:57,220 --> 00:10:02,040
+في عندي ال total depth ال total depth طبعا قبل ان
+
+136
+00:10:02,040 --> 00:10:04,940
+اعرف ال total depth في عندي المسافة هذه من هنا بين
+
+137
+00:10:04,940 --> 00:10:08,260
+ال pitch circle و ال addendum circle المسافة هذه
+
+138
+00:10:08,260 --> 00:10:12,900
+بسميها ال addendum المسافة بين ال pitch circle و
+
+139
+00:10:12,900 --> 00:10:16,400
+ال addendum circle هذه المسافة بسميها ال addendum
+
+140
+00:10:17,340 --> 00:10:20,520
+عندي هذا المسافة اللي هي ال total depth العمق
+
+141
+00:10:20,520 --> 00:10:23,920
+الكلي للسن اللي هي عبارة عن مجموعة addendum زائد
+
+142
+00:10:23,920 --> 00:10:29,300
+addendum في
+
+143
+00:10:29,300 --> 00:10:32,520
+عندي طبعا ال .. ال .. ال .. عندي ما يسمى ال
+
+144
+00:10:32,520 --> 00:10:37,940
+clearance هذا المنطقة من هنا إلى هنا ال clearanceو
+
+145
+00:10:37,940 --> 00:10:41,940
+ال clearance اللي هو الان فعلا بيكون السن الخارجي
+
+146
+00:10:41,940 --> 00:10:45,960
+او الترس التاني بيكونش السن واصل للاخر بيكون واصل
+
+147
+00:10:45,960 --> 00:10:49,020
+للدائرة هذه فبيكون في فراغة فمعناته الفراغة هاتي
+
+148
+00:10:49,020 --> 00:10:52,700
+بسميه ال clearance و ال common distance بين
+
+149
+00:10:52,700 --> 00:10:56,680
+التانين اللي هي المجموع ال addendum للترس ل driver
+
+150
+00:10:56,680 --> 00:11:02,200
+و ل driven gear بسميها ال working .. ال working
+
+151
+00:11:02,200 --> 00:11:08,450
+depthطبعا عند ال pitch circle المسافة هذه بسميها
+
+152
+00:11:08,450 --> 00:11:12,590
+ال tooth thickness و المسافة من هنا إلى هنا
+
+153
+00:11:12,590 --> 00:11:17,410
+الفراغة هذي بسميها ال tooth space و .. و المسافة
+
+154
+00:11:17,410 --> 00:11:21,390
+بين النقطة و تكرارها يعني بين النقطة هذه و النقطة
+
+155
+00:11:21,390 --> 00:11:26,670
+هذه بسميها ال circular pitch circular pitch هيك
+
+156
+00:11:26,670 --> 00:11:30,570
+يكون غطينا ال geometric parameters لل .. لل .. لل
+
+157
+00:11:30,570 --> 00:11:32,550
+.. لل .. لل .. لل gear
+
+158
+00:11:36,140 --> 00:11:39,520
+في ما يسمى ال pressure angle ال pressure angle أنا
+
+159
+00:11:39,520 --> 00:11:43,620
+عندي هذا ما يسمى ال base circle هذا ال base circle
+
+160
+00:11:43,620 --> 00:11:48,640
+و هذا ال pitch circle و في هذا ال pitch point و
+
+161
+00:11:48,640 --> 00:11:53,140
+هذا ال pitch circle، الآن إذا بأرسم خط من ال pitch
+
+162
+00:11:53,140 --> 00:11:58,370
+pointمماس لل base circle هذا بيفثل ال pressure
+
+163
+00:11:58,370 --> 00:12:02,290
+line اللي هو بيكون ال force بين السن والسن acting
+
+164
+00:12:02,290 --> 00:12:06,870
+along this line الزاوية هذه اللي بين ال common
+
+165
+00:12:06,870 --> 00:12:11,150
+normal و ال common tangent تسمى ال pressure angle
+
+166
+00:12:11,150 --> 00:12:20,070
+اللي هي زاوية الضغط هذا
+
+167
+00:12:20,070 --> 00:12:27,720
+كله حكيناه الآنفي ما يسمى backlash، lash يعني
+
+168
+00:12:27,720 --> 00:12:33,380
+فراغ، backlash يعني فراغ من الخلف ال backlash هو
+
+169
+00:12:33,380 --> 00:12:38,930
+الفرق بين ال tooth space و ال tooth thicknessas
+
+170
+00:12:38,930 --> 00:12:41,950
+measured along the pitch circle يعني في عندي سن و
+
+171
+00:12:41,950 --> 00:12:45,910
+سن بيكونوا لبسين في بعض بيكونوش جايين حاكم بيكون
+
+172
+00:12:45,910 --> 00:12:49,930
+فيه فراغة الفراغ بين السنين بسمي backlash نظريا
+
+173
+00:12:49,930 --> 00:12:54,270
+المفروض يكون هذا zero لكن في الممارسة العملية لازم
+
+174
+00:12:54,270 --> 00:12:58,590
+احنا نسمح انه شو يكون فيه شوية فراغ بين الأسنان لل
+
+175
+00:12:58,590 --> 00:13:03,300
+ترس of the driver andthe driven otherwise إذا
+
+176
+00:13:03,300 --> 00:13:06,720
+ماكنش فيه فراغ يعني محكم هيصير الملازجين في بعض
+
+177
+00:13:06,720 --> 00:13:11,480
+الصناع و حركتهم صعبة و إذا بيصير ارتفاع داشر حرارة
+
+178
+00:13:11,480 --> 00:13:15,580
+نتيجة الاحتكاك ممكن تصير expansion و بطل الترس يلف
+
+179
+00:13:15,580 --> 00:13:19,300
+معاه فلازم عمليا أخلي شوية فراغ بين الأصناع اللي
+
+180
+00:13:19,300 --> 00:13:26,180
+هو ما يسمى backlash طيب
+
+181
+00:13:30,120 --> 00:13:33,740
+الcircular pitch هي ال distance measured on the
+
+182
+00:13:33,740 --> 00:13:36,780
+circumference of the pitch circle from a point of
+
+183
+00:13:36,780 --> 00:13:38,540
+one tooth to a corresponding point in the next
+
+184
+00:13:38,540 --> 00:13:42,900
+tooth نرجع للشكل الcircular
+
+185
+00:13:42,900 --> 00:13:46,900
+pitch هي المسافة بين النقطة وتكرارها يعني عند انا
+
+186
+00:13:46,900 --> 00:13:53,050
+بديت مثلا من النقطة هذه ماشي ماشياللي حصل هو هذه
+
+187
+00:13:53,050 --> 00:13:58,330
+المسافة من هنا لهنا المسافة هذه بسميها ال circular
+
+188
+00:13:58,330 --> 00:14:01,910
+pitch ال circular pitch طبعا بيستخدم محيط ال pitch
+
+189
+00:14:01,910 --> 00:14:05,990
+circle محيط ال pitch circle على عدد الأسنان ومحيط
+
+190
+00:14:05,990 --> 00:14:09,350
+ال pitch circle هو ال by في ال diameter بتاع ال
+
+191
+00:14:09,350 --> 00:14:13,160
+pitch circle علىوبالتالي ال pitch circle بيصور
+
+192
+00:14:13,160 --> 00:14:16,700
+محيط ال pitch circle على عدد أسنان ال pi في d على
+
+193
+00:14:16,700 --> 00:14:21,880
+t ال pi أنتوا عارفين اللي هي ال 3.14 ال d اللي هو
+
+194
+00:14:21,880 --> 00:14:25,980
+ال diameter of the pitch circle ال t عدد أسنان
+
+195
+00:14:25,980 --> 00:14:30,140
+الترس for
+
+196
+00:14:30,140 --> 00:14:37,300
+two gears عشان ترسين يتم التعشيق بينهم بشكل صحيح
+
+197
+00:14:38,980 --> 00:14:43,540
+لازم يكون يلهم نفس ال circular pitch يعني ال
+
+198
+00:14:43,540 --> 00:14:46,640
+circle pitch لترس الأولاني بيستوى ال circular
+
+199
+00:14:46,640 --> 00:14:50,140
+pitch لل .. لل .. للترس التاني يعني هكون by D واحد
+
+200
+00:14:50,140 --> 00:14:53,020
+على D واحد بيستوى by D .. D اتنين .. اتنين على D
+
+201
+00:14:53,020 --> 00:14:56,780
+اتنين D واحد و D اتنين هي ال diameters of the
+
+202
+00:14:56,780 --> 00:15:00,850
+pitch circles of the driver and driven gearT1 و T2
+
+203
+00:15:00,850 --> 00:15:05,090
+هي عدد أسنان للـ Driver و عدد أسنان للـ Driven و
+
+204
+00:15:05,090 --> 00:15:08,630
+الـ Pi اللي هي الرقم اللي هي 3.14 ممكن اختصر الـ
+
+205
+00:15:08,630 --> 00:15:13,290
+Pi من الطرفين بي مع بي بتروح بس عندي D1 على D2
+
+206
+00:15:13,290 --> 00:15:17,630
+بالساوية T1 على T2 معناته النسب بين قطر ال driver
+
+207
+00:15:17,630 --> 00:15:21,830
+على قطر ال driven يتناسب تناسب ترضي بين نسبة عدد
+
+208
+00:15:21,830 --> 00:15:24,350
+أسنان على driver على عدد أسنان تحت ال driven
+
+209
+00:15:24,350 --> 00:15:29,740
+معناته كل ما كبركل .. كل ما زادت عدد أسنان تاعت ال
+
+210
+00:15:29,740 --> 00:15:36,060
+terce المفروض القطر يكبر في
+
+211
+00:15:36,060 --> 00:15:40,240
+مصطلح ما يسمى ال diameter ال pitch ال diameter ال
+
+212
+00:15:40,240 --> 00:15:46,260
+pitch هي النسب بين عدد الأسنان لقطر ال pitch
+
+213
+00:15:46,260 --> 00:15:49,360
+circle diameter ال pitch فانا تستوى النسب بين عدد
+
+214
+00:15:49,360 --> 00:15:55,230
+الأسنان لل terce على قطر ال pitch circleو بيستوى
+
+215
+00:15:55,230 --> 00:15:59,450
+PIE على Circular Pitch فين دي الموديول .. الموديول
+
+216
+00:15:59,450 --> 00:16:02,730
+عكسه هي النسبة بين .. الموديول طبعا ال .. ال ..
+
+217
+00:16:02,730 --> 00:16:06,410
+الموديول استخدم في نظام الوحدات المترية Diameter
+
+218
+00:16:06,410 --> 00:16:09,770
+per Pitch استخدم في نظام الوحدات الإنجليزية في
+
+219
+00:16:09,770 --> 00:16:12,790
+نظام الوحدات المترية بيستخدم مصطلح الموديول هو
+
+220
+00:16:12,790 --> 00:16:16,450
+النسبة بين ال pitch circle diameter وعدد الأسنان
+
+221
+00:16:16,450 --> 00:16:20,510
+يعني الموديول M بيستوى D على T ووحدة الموديول
+
+222
+00:16:20,510 --> 00:16:21,070
+millimeter
+
+223
+00:16:25,990 --> 00:16:32,170
+ال law of gearing الآن .. الآن عشان
+
+224
+00:16:32,170 --> 00:16:36,110
+أضمن يصير conjugate او positive drive between two
+
+225
+00:16:36,110 --> 00:16:54,090
+profiles هنخلن أرسم عندي
+
+226
+00:16:54,090 --> 00:17:02,450
+هايsome rigid body الو مركز دوران O واحد وفي
+
+227
+00:17:02,450 --> 00:17:06,310
+another rigid body
+
+228
+00:17:06,310 --> 00:17:16,290
+الو
+
+229
+00:17:16,290 --> 00:17:17,070
+مركز دوران
+
+230
+00:17:19,920 --> 00:17:31,700
+O اتنين في نقطة التماس بين التنين اللي هي C عند
+
+231
+00:17:31,700 --> 00:17:39,820
+الجسم هذا بدور بسرعة زاوية O من جوا احد معناه هذا
+
+232
+00:17:39,820 --> 00:17:45,960
+بدور في عكس عقار بالساعة يعني
+
+233
+00:17:45,960 --> 00:17:54,930
+انا هيكون عند هنالو وصلت O1C نقطة
+
+234
+00:17:54,930 --> 00:17:58,850
+C ممكن اعتبرها كأنها مرة ده درسها كأنها مرة موجودة
+
+235
+00:17:58,850 --> 00:18:02,010
+على ال body الأولاني و كأنها مرة موجودة على ال
+
+236
+00:18:02,010 --> 00:18:12,670
+body التاني هتكون سرعة النقطة C هي عند VC1 هتزاه
+
+237
+00:18:12,670 --> 00:18:15,150
+عمودية VC1
+
+238
+00:18:17,410 --> 00:18:24,310
+مستوى omega واحد في O واحد C هذا كما لو كانت على
+
+239
+00:18:24,310 --> 00:18:27,830
+ال body الأول يعني الان كما لو كانت على ال body
+
+240
+00:18:27,830 --> 00:18:32,610
+التاني خليني
+
+241
+00:18:32,610 --> 00:18:34,090
+بس أغير بالشكل شوية
+
+242
+00:18:48,950 --> 00:18:57,270
+هي O2 هتكون
+
+243
+00:18:57,270 --> 00:19:09,490
+عند Vc Vc2 طبعا
+
+244
+00:19:09,490 --> 00:19:14,390
+هذا ال common normal هذا ال common
+
+245
+00:19:18,920 --> 00:19:24,300
+هذا ال common normal
+
+246
+00:19:24,300 --> 00:19:31,660
+أو
+
+247
+00:19:31,660 --> 00:19:35,680
+خلّيني أرجع على الشكل الموجود على الشاشة خلّيني
+
+248
+00:19:35,680 --> 00:19:38,600
+أرجع على الشكل الموجود على الشاشة أنا ببين عندي
+
+249
+00:19:38,600 --> 00:19:46,950
+جسم الجسم على الشاشة عنديعند جسم واحد الجسم الأخضر
+
+250
+00:19:46,950 --> 00:19:52,050
+وعند جسم اتنين الجسم الأزرق الجسم واحد بدوره حوالي
+
+251
+00:19:52,050 --> 00:19:59,070
+مركز O واحد بسرعة زاوية Omega واحدالجسم 2 أكيد
+
+252
+00:19:59,070 --> 00:20:05,530
+هيدور بسرعة زاوية Omega 2 وفيه نقطة تلامس C هذا هو
+
+253
+00:20:05,530 --> 00:20:09,570
+خط التماس بين الجسمين على النقطة C اللي هي common
+
+254
+00:20:09,570 --> 00:20:15,250
+tangent و العمودي عليه هو ال common normal ال
+
+255
+00:20:15,250 --> 00:20:22,080
+common normal الآن النقطة C هيعتبرها مرة مرةمشتركة
+
+256
+00:20:22,080 --> 00:20:24,520
+هي بين ال body واحد و ال body اتنين إذا كانت على
+
+257
+00:20:24,520 --> 00:20:28,580
+ال body واحد هتكون VC واحد هتكون سواء Omega واحد
+
+258
+00:20:28,580 --> 00:20:34,940
+في O واحد C VC واحد بسواء Omega واحد في O واحد C
+
+259
+00:20:34,940 --> 00:20:40,160
+والنقطة
+
+260
+00:20:40,160 --> 00:20:43,740
+C لما تكون على ال body اتنين هتكون عند VC اتنين
+
+261
+00:20:43,740 --> 00:20:50,350
+بسواء Omega اتنين في O اتنين C معناته VC اتنينVC2
+
+262
+00:20:50,350 --> 00:20:59,010
+ثم Omega 2 ثم O2C الآن
+
+263
+00:20:59,010 --> 00:21:05,710
+ال
+
+264
+00:21:05,710 --> 00:21:11,650
+VC1بتعمل زاوية Alpha مع ال common normal ال VC
+
+265
+00:21:11,650 --> 00:21:14,730
+واحد هتعمل زاوية Alpha مع ال common normal و ال
+
+266
+00:21:14,730 --> 00:21:21,090
+VC2 بتعمل زاوية Beta مع ال common normal الآن ال
+
+267
+00:21:21,090 --> 00:21:25,410
+VC واحد ممكن احليله لو مركبتين مركبة في اتجاه ال
+
+268
+00:21:25,410 --> 00:21:29,860
+common normal و مركبة في اتجاه ال common tangentو
+
+269
+00:21:29,860 --> 00:21:33,820
+نفس الاشي VC2 ممكن احليه لو مراكبتين مراكب اتجاه
+
+270
+00:21:33,820 --> 00:21:37,080
+ال common normal و مراكب اتجاه ال common tangent
+
+271
+00:21:37,080 --> 00:21:39,940
+الان المراكب اتجاه ال common normal بهذا الاتجاه
+
+272
+00:21:39,940 --> 00:21:43,960
+اللي هي هتكون المراكبة ال VC1 باتجاه ال common
+
+273
+00:21:43,960 --> 00:21:49,780
+normal هتكون VC1 cos α المراكب اتجاه ال common
+
+274
+00:21:49,780 --> 00:21:58,210
+normal VC1cos α والمركبة للجسم التاني لل Vc2 تجاه
+
+275
+00:21:58,210 --> 00:22:08,170
+ال common normal هتكون Vc2 cos beta Vc2 cos beta
+
+276
+00:22:08,170 --> 00:22:15,810
+الآن اتطلع الزاوية الزاوية Alpha زاوية هذه Alpha
+
+277
+00:22:15,810 --> 00:22:22,880
+هتكون تساوي الزاويةاللي هو M طبعا انا بنزل عمودي
+
+278
+00:22:22,880 --> 00:22:26,960
+من O1 على M عمودي على كمان Normal و بنزل O2 عمودي
+
+279
+00:22:26,960 --> 00:22:34,880
+على كمان Normal O2N لان هتكون الزاوية M O1 C Alpha
+
+280
+00:22:34,880 --> 00:22:38,040
+بالثاوية
+
+281
+00:22:38,040 --> 00:22:52,390
+زاوية M O1 C و Beta بالثاوية زاوية NO2C معناته
+
+282
+00:22:52,390 --> 00:22:56,570
+cosine alpha cosine
+
+283
+00:22:56,570 --> 00:23:04,790
+alpha هتساوي المثلث قائم الزاوية هكون O1M على O1C
+
+284
+00:23:04,790 --> 00:23:17,010
+O1M على O1C و cosine beta هتكون تساوي O2N
+
+285
+00:23:18,190 --> 00:23:23,810
+على O2C معناته
+
+286
+00:23:23,810 --> 00:23:30,010
+مركبة ال VC1 باتجاه الكوان نور هي VC1 هي عبارة عن
+
+287
+00:23:30,010 --> 00:23:43,810
+Omega 1 في O1C في Cos α اللي هي O1M على O1C هتساوي
+
+288
+00:23:44,870 --> 00:23:48,370
+هنحكي عن ال law of gearings، أنا في عندي two
+
+289
+00:23:48,370 --> 00:23:53,910
+bodies، one body is rotating about point O1،
+
+290
+00:23:53,910 --> 00:23:58,650
+another body بي rotate حوالي نقطة O2، الجسم
+
+291
+00:23:58,650 --> 00:24:03,350
+الأولان بتدور بسرعة زاوية Omega 1و الجسم التاني
+
+292
+00:24:03,350 --> 00:24:07,230
+اكيد هتدور بسرعة ازاى و Omega 2 فى نقطة التلامس
+
+293
+00:24:07,230 --> 00:24:11,710
+الجسمين المتلامسين عند نقطة C بنرسم اللى هو
+
+294
+00:24:11,710 --> 00:24:14,810
+المتعامل ال common normal at point C هذا هو ال
+
+295
+00:24:14,810 --> 00:24:18,950
+common normal و فى عندى ال common tangent الان
+
+296
+00:24:18,950 --> 00:24:24,600
+النقطة Cممكن تدرس باعتبارها مرة على الجسم الأول و
+
+297
+00:24:24,600 --> 00:24:28,320
+مرة على الجسم التاني إذا درست النقطة C باعتبارها
+
+298
+00:24:28,320 --> 00:24:33,300
+على الجسم الأول هتكون VC واحد VC واحد هتكون سواء O
+
+299
+00:24:33,300 --> 00:24:41,380
+واحد C في Omega واحد وإذا درست النقطة C باعتبارها
+
+300
+00:24:41,380 --> 00:24:45,320
+على الجسم الثاني هتكون VC اتنين بسواء Omega اتنين
+
+301
+00:24:45,320 --> 00:24:55,840
+بسواء Omega اتنين في O اتنين Cالان ال VC1 بتعمل
+
+302
+00:24:55,840 --> 00:25:00,520
+زاوية Alpha مع ال Common Normal و VC2 بتعمل زاوية
+
+303
+00:25:00,520 --> 00:25:10,340
+Beta مع ال Common Tangent الان مراكبة ال VC1 بتجاه
+
+304
+00:25:10,340 --> 00:25:16,130
+ال Common Normal عبارة عن VC1 Cos Alphaو مركبة ال
+
+305
+00:25:16,130 --> 00:25:21,110
+VC2 باتجاه ال common normal بالسواء VC2 Cos Beta
+
+306
+00:25:21,110 --> 00:25:27,670
+الآن مركبة ال VC1 باتجاه ال common normal ممكن
+
+307
+00:25:27,670 --> 00:25:33,970
+تكون تساويالاحتمالات تاعتها تكون تساوي او اكبر او
+
+308
+00:25:33,970 --> 00:25:39,690
+اقل من مركبة ال Vc2 في اتجاه ال common normal ناخد
+
+309
+00:25:39,690 --> 00:25:45,570
+الحالات التلاتة لو كانت ال Vc1 طبعا اذكر ان ال two
+
+310
+00:25:45,570 --> 00:25:49,650
+bodies are rigid bodies لو كانت مركبة ال Vc1 اللي
+
+311
+00:25:49,650 --> 00:25:56,090
+هي V .. لو كانت Vc1 Cos Alpha أكبر من Vc2 Cos Beta
+
+312
+00:25:56,090 --> 00:25:59,630
+هينغرز الجسم الأولاني في الجسم التاني وهذا مستحيل
+
+313
+00:26:01,560 --> 00:26:06,540
+حالة التانية أن يكون مركبة ال VC1 في اتجاه ال
+
+314
+00:26:06,540 --> 00:26:10,620
+common normal أقل من مركبة ال VC2 في اتجاه ال
+
+315
+00:26:10,620 --> 00:26:14,980
+common normal يعني VC1 cos α تكون أصغر من VC2 cos
+
+316
+00:26:14,980 --> 00:26:19,660
+β في الحالة هذه we lose contact هينفصل الجسمين عن
+
+317
+00:26:19,660 --> 00:26:23,410
+بعضمعناته .. برضه هذه الحالة ما تصبتش .. معناته
+
+318
+00:26:23,410 --> 00:26:28,450
+عشان أستمر بحالة التلامس الجسماني دائما يبقى في
+
+319
+00:26:28,450 --> 00:26:33,330
+حالة تلامس لازم مراكبة ال VC1 بتجاه ال common
+
+320
+00:26:33,330 --> 00:26:36,730
+normal تستوى مراكبة ال VC2 بتجاه ال common normal
+
+321
+00:26:36,730 --> 00:26:47,600
+يعني VC1 cos α لازم تستوى VC2 cos βالان VC1 احنا
+
+322
+00:26:47,600 --> 00:26:53,220
+حاكينا خلينا نعمل عمودي من O1 ع ال corner O1M هذا
+
+323
+00:26:53,220 --> 00:26:56,900
+عمودي ع ال common normal و عمودي من نقطة O2 ع ال
+
+324
+00:26:56,900 --> 00:27:03,000
+corner O2N معناة O2N عمودي ع ال common normal اذا
+
+325
+00:27:03,000 --> 00:27:08,810
+بتركز كويس هتلاحظ ان زاوية Alphaالفا بتساوي
+
+326
+00:27:08,810 --> 00:27:16,950
+الزاوية MO1C والزاوية بيتا بتساوي ال .. ال .. ال
+
+327
+00:27:16,950 --> 00:27:22,310
+.. الزاوية اللي هو NO2C
+
+328
+00:27:22,310 --> 00:27:28,850
+معناته هذه الزاوية بيتا طيب معناته حصيلة عن دي
+
+329
+00:27:28,850 --> 00:27:36,960
+احنا حكينا VC1VC1 Cos α بيساوة VC2 Cos β و VC1
+
+330
+00:27:36,960 --> 00:27:42,000
+بيساوة Omega 1 O1C و VC2 بيساوة Omega 2 O2C و Cos
+
+331
+00:27:42,000 --> 00:27:49,700
+α بيساوة O1M على O1C و Cos β O2N على O2Cبنعوض في
+
+332
+00:27:49,700 --> 00:27:54,440
+المعادلة الهدوى VC1 ل OMEGA 1 في O1C كسين ألف O1M
+
+333
+00:27:54,440 --> 00:28:01,740
+على O1C و في VC2 اللي هو OMEGA 2 OC2 في O2N على
+
+334
+00:28:01,740 --> 00:28:08,540
+O2C بنختصر O1C مع O1C و O2C مع O2C بنصفر عندي
+
+335
+00:28:08,540 --> 00:28:16,700
+OMEGA 1 في O1M يعني حسيني عندي OMEGA 1 على OMEGA 2
+
+336
+00:28:18,590 --> 00:28:28,810
+بالساوية O to N على O واحد M لان اذا باخد
+
+337
+00:28:28,810 --> 00:28:35,750
+المتلاتين المتلاتين نرجع للشكل المتلاتين اللي هو O
+
+338
+00:28:35,750 --> 00:28:40,050
+واحد M
+
+339
+00:28:40,050 --> 00:28:45,250
+C و O to N
+
+340
+00:28:49,260 --> 00:29:00,040
+C هكون عند او واحد M على او اتنين N لأ انا بدي اخد
+
+341
+00:29:00,040 --> 00:29:06,800
+المتلاتين مش هدول متلاتين خلنا نبسح هاخد
+
+342
+00:29:06,800 --> 00:29:10,220
+انا هوصل او واحد هوصل او واحد مع او اتنين بتقطع في
+
+343
+00:29:10,220 --> 00:29:22,910
+P هاخد المتلاتين او واحد M Pو O2N
+
+344
+00:29:22,910 --> 00:29:28,090
+P هاندي
+
+345
+00:29:28,090 --> 00:29:49,120
+O1M P و O2N P هكوندي O1M O1M على O2N بالساويةO1P
+
+346
+00:29:49,120 --> 00:29:58,420
+على O2P يعني احسس ان عندي Omega 1 على Omega 2
+
+347
+00:29:58,420 --> 00:30:04,700
+بالساوية O2P
+
+348
+00:30:04,700 --> 00:30:10,940
+على O1P معناته
+
+349
+00:30:10,940 --> 00:30:17,050
+ال law of gearingعشان تكون Omega 1 على Omega 2
+
+350
+00:30:17,050 --> 00:30:22,390
+ثابتة عشان تكون ثابتة
+
+351
+00:30:23,020 --> 00:30:29,100
+لازت يكون ال ratio O2P على O1P ثابتة مع العلم P هي
+
+352
+00:30:29,100 --> 00:30:35,500
+نقطة التقاطع الخط الواصل بين مركز دوران O1 و مركز
+
+353
+00:30:35,500 --> 00:30:39,120
+دوران O2 و ال common node at the point of contact
+
+354
+00:30:39,120 --> 00:30:42,000
+هذا يعني برضه عشان تكون أمجد واحد و أمجد اتنين
+
+355
+00:30:42,000 --> 00:30:46,640
+ثابتين أن النقطة P تكون fixed النقطة P هي اللي
+
+356
+00:30:46,640 --> 00:30:50,620
+بسميها ال pitch point النقطة P تكون fixed بسميها
+
+357
+00:30:50,620 --> 00:30:56,160
+ال pitch pointالان ال Velocity of sliding ال
+
+358
+00:30:56,160 --> 00:31:00,080
+Velocity of sliding along ال common tangent عندي
+
+359
+00:31:00,080 --> 00:31:11,700
+ال ال ال ال Vs هتكون هتكون VC1 Sin Alpha VC1 Sin
+
+360
+00:31:11,700 --> 00:31:19,880
+Alpha minus VC2 Sin Beta
+
+361
+00:31:25,710 --> 00:31:30,190
+طبعا احنا حكينا الـ sin α يعني هيكون VC1 اللي هي
+
+362
+00:31:30,190 --> 00:31:43,470
+omega 1 في O1C في sin α .. sin α اللي هي هتكون ..
+
+363
+00:31:43,470 --> 00:31:50,810
+sin α اللي هي هتكون MC على
+
+364
+00:31:50,810 --> 00:31:53,590
+O1C minus
+
+365
+00:31:55,290 --> 00:32:02,810
+VC2 اللي هي Omega 2 في O2C في Sine Beta نبتطلع من
+
+366
+00:32:02,810 --> 00:32:11,150
+الشكل Sine Beta بيستوي NC على
+
+367
+00:32:11,150 --> 00:32:19,330
+O2C يعني هنختصر O1C مع O1C O2C مع O2C بالصفر Omega
+
+368
+00:32:19,330 --> 00:32:21,310
+1MC
+
+369
+00:32:22,400 --> 00:32:30,360
+مينوس أميجا اتنين NC حيث ساوي اللحظة MC ممكن
+
+370
+00:32:30,360 --> 00:32:36,860
+اعتبرها عبارة عن two segments الان
+
+371
+00:32:36,860 --> 00:32:40,620
+ال
+
+372
+00:32:40,620 --> 00:32:44,340
+MC ال
+
+373
+00:32:44,340 --> 00:32:49,200
+V sliding بتساوي
+
+374
+00:32:50,590 --> 00:32:59,330
+اميجا واحد MC مينوس اوميجا اتنين في NC بحيث تسوى
+
+375
+00:32:59,330 --> 00:33:04,670
+اوميجا واحد ال MC هيتطلعوا على الشكل ال MC بيسوى
+
+376
+00:33:04,670 --> 00:33:15,920
+MP زائد PC MP زائد PC مينوس اوميجا اتنين ال NCالـ
+
+377
+00:33:15,920 --> 00:33:27,940
+NC عبارة عن NP minus ال NC ال NP minus ال NC يعني
+
+378
+00:33:27,940 --> 00:33:38,860
+هتكون Omega 1 في ال NP minus Omega 2 في ال NP زائد
+
+379
+00:33:38,860 --> 00:33:43,300
+PC مشترك
+
+380
+00:33:45,070 --> 00:33:51,110
+أنا غلطان هنا دي ال .. ال .. ال .. ال .. ال N P
+
+381
+00:33:51,110 --> 00:33:56,550
+minus ال P C minus
+
+382
+00:33:56,550 --> 00:34:05,110
+ال P C P C في Omega واحد زاد Omega اتنين لاحظوا أن
+
+383
+00:34:05,110 --> 00:34:11,110
+تشابه المثلثات O واحد M P و O اتنين M P بيكون عندى
+
+384
+00:34:11,110 --> 00:34:19,560
+اللي هوأمجا واحد على أمجا اتنين بالساوية أمجا واحد
+
+385
+00:34:19,560 --> 00:34:23,880
+على أمجا اتنين بالساوية اتنين على ا ا واحد ام على
+
+386
+00:34:23,880 --> 00:34:27,180
+ا اتنين ان بالساوية ا واحد بي على ا اتنين بي
+
+387
+00:34:27,180 --> 00:34:37,160
+بالساوية ام بي على ان بي معناته هذا هيكون الساوية
+
+388
+00:34:37,160 --> 00:34:47,150
+ان بي على ام بي معناته عند امجا واحدNB بيساوي
+
+389
+00:34:47,150 --> 00:34:52,490
+Omega 2 NB معناته هدول أشمالهم ال two terms
+
+390
+00:34:52,490 --> 00:34:57,030
+بيروحوا مع بعض معناته ال sliding velocity VS هتكون
+
+391
+00:34:57,030 --> 00:35:11,070
+PC في Omega 1 زائد Omega 2 معناته
+
+392
+00:35:11,070 --> 00:35:15,550
+ال sliding velocityسرعة النزلات بين الـ two bodies
+
+393
+00:35:15,550 --> 00:35:20,210
+at the point of contact بتعتمد على بعد ال pitch
+
+394
+00:35:20,210 --> 00:35:24,090
+point على ال contact point إذا كانت ال pitch point
+
+395
+00:35:24,090 --> 00:35:27,830
+مطابقة مع ال contact point بيكون فيكونش عنده
+
+396
+00:35:27,830 --> 00:35:31,970
+sliding, no sliding فكل ما بعدت نقطة ال pitch
+
+397
+00:35:31,970 --> 00:35:34,250
+point على ال contact point كل ما زاد ال sliding
+
+398
+00:35:34,250 --> 00:35:35,510
+between the two bodies
+
+399
+00:35:42,430 --> 00:35:46,630
+ليه هذه العلاقة؟ vs بيساو أمج واحد زي أمج اتنين في
+
+400
+00:35:46,630 --> 00:35:56,970
+Pc الآن
+
+401
+00:35:56,970 --> 00:36:05,780
+شكل السن ممكن يكون أي شكلطالما أنه يحقق ال law of
+
+402
+00:36:05,780 --> 00:36:10,060
+gearing اللي ذكرناها سابقاً شكل السن ال profile
+
+403
+00:36:10,060 --> 00:36:15,760
+بتاع السن ممكن يكون أي شكل طالما أنه بيحقق ال law
+
+404
+00:36:15,760 --> 00:36:20,440
+of gearing احنا هندرس اللي هو حالة خاصة اللي هي
+
+405
+00:36:20,440 --> 00:36:25,830
+الأكتر شيوعا اللي هي ال invalid teeth forminvolute
+
+406
+00:36:25,830 --> 00:36:29,710
+of a circle ان انا بكون يعني بكون عندي دائرة
+
+407
+00:36:29,710 --> 00:36:35,550
+بسميها ال base circle بكون لافي في حواليها حبل
+
+408
+00:36:35,550 --> 00:36:40,370
+بكون لافي في حواليها حبل بكون في قلم في طرف الحبل
+
+409
+00:36:40,370 --> 00:36:45,710
+بكون ارفع الحبل و هو مجدود برفع الحبل و هو مجدود
+
+410
+00:36:45,710 --> 00:36:48,050
+يعني انا اتطلع عندي هذه النقطة و هذه النقطة انا
+
+411
+00:36:48,050 --> 00:36:54,140
+بدأت بدأت من النقطة من نقطة معينةبكون أبدأ أرفع
+
+412
+00:36:54,140 --> 00:36:58,640
+الحبل و أرسم بحصل على شكل معين بسميه ال value أو
+
+413
+00:36:58,640 --> 00:37:02,140
+بحط مصطرة .. مصطرة بتكون tangent مثلا .. tangent
+
+414
+00:37:02,140 --> 00:37:05,360
+بحط قلم على طرفها بتضلها .. بخليها .. أدهرجها على
+
+415
+00:37:05,360 --> 00:37:08,420
+.. على الدائرة بدهرجها على الدائرة و هي الدهرج
+
+416
+00:37:08,420 --> 00:37:13,160
+بتكون ترسم له شكل معينالشكل هذا بسميه involute،
+
+417
+00:37:13,160 --> 00:37:16,840
+يعني إما أكون عندي خيط مشدود حوالي الدائرة و بطرف
+
+418
+00:37:16,840 --> 00:37:21,040
+القلم ببدأ أرخي while .. while .. و ببدأ أرخي و
+
+419
+00:37:21,040 --> 00:37:25,220
+أنا الحبل مشدود و مماس للدائرة و أرسم يعني زي أنا
+
+420
+00:37:25,220 --> 00:37:31,190
+بدأت من النقطة هذه بدأت أرخي أرخي أرخيو أرسم يعني
+
+421
+00:37:31,190 --> 00:37:35,190
+عندي هذه الحبل كان في اللحظة هذه كان بدأت منها من
+
+422
+00:37:35,190 --> 00:37:39,530
+صفر بدأت أرخي هذه وصلت نقطة بي واحد بدأت أرخ أكتر
+
+423
+00:37:39,530 --> 00:37:43,050
+و أنا ماشي في القلم بأرسم وصلت نقطة بي اتنين بدأت
+
+424
+00:37:43,050 --> 00:37:47,130
+أرخي و أنا شادد وصلت نقطة بي تلاتة بي أربع بي خمسة
+
+425
+00:37:47,130 --> 00:37:52,790
+الآن التتبع هذا هذا ال curve بسميه involute of a
+
+426
+00:37:52,790 --> 00:37:55,150
+circle involute of a circle
+
+427
+00:38:00,220 --> 00:38:06,940
+انبين عندى هنا ترسين هذا ال pressure line هذا الخط
+
+428
+00:38:06,940 --> 00:38:12,260
+اللى هو خط الدفع خط الدفع اللى أسنان عنده ده هو ال
+
+429
+00:38:12,260 --> 00:38:16,000
+driver بدفع along this line هذا بسمع الشمال ال
+
+430
+00:38:16,000 --> 00:38:18,060
+driver و هذا ال driven
+
+431
+00:38:22,440 --> 00:38:25,660
+أزاى ما انتوا شايفين نرجع للـ Geometer للإسنان أنا
+
+432
+00:38:25,660 --> 00:38:28,280
+عندى الدائرة الخارجية .. هذا ال .. طبعا ال driver
+
+433
+00:38:28,280 --> 00:38:32,000
+بسميه penion و ال driven بسميه gear يعني ال penion
+
+434
+00:38:32,000 --> 00:38:34,940
+and gear يعني ال driver هو ال penion عادة .. عادة
+
+435
+00:38:34,940 --> 00:38:39,060
+ال penion بيكون حجمه أصغر من حجم ال gear هذه ال ..
+
+436
+00:38:39,060 --> 00:38:42,460
+ال .. ال .. ال .. ال outside diameter او ال .. او
+
+437
+00:38:42,460 --> 00:38:47,850
+ال addendum circle لل .. لل penion هذهال outside
+
+438
+00:38:47,850 --> 00:38:52,790
+diameter او ال addendum circle للجير هذه ال root
+
+439
+00:38:52,790 --> 00:38:58,130
+circle او addendum circle لل panion هذه ال root
+
+440
+00:38:58,130 --> 00:39:05,310
+circle او addendum circle للجيرهذه هو ال base
+
+441
+00:39:05,310 --> 00:39:08,150
+circle هي ال circle from which we generate ال
+
+442
+00:39:08,150 --> 00:39:12,010
+involute ال circle اللي ولدنا منها شكل ال involute
+
+443
+00:39:12,010 --> 00:39:17,270
+هذا line of action خط عمل الدفع line of action و
+
+444
+00:39:17,270 --> 00:39:21,850
+هذه الزاوية بسميها pressure angle تقاطع الخط
+
+445
+00:39:21,850 --> 00:39:26,690
+الواصل بين مركز ال pinion و مركز ال gear مع الخط
+
+446
+00:39:26,690 --> 00:39:31,170
+اللي عند ال pitch point بسميها نقطة pitch point
+
+447
+00:39:34,980 --> 00:39:40,740
+طبعا هذا ال radius لل base circle هذا ال radius لل
+
+448
+00:39:40,740 --> 00:39:44,740
+pitch circle هذا ال radius لل outside diameter
+
+449
+00:39:47,970 --> 00:39:51,170
+اللاحظوا في عند هين .. طلعوا هين في فراغ بين ال
+
+450
+00:39:51,170 --> 00:39:54,330
+opinion في .. يعني في .. بيكونش .. يعني نازل الأخر
+
+451
+00:39:54,330 --> 00:39:58,970
+بسميه ال clearance ال clearance ال working depth
+
+452
+00:39:58,970 --> 00:40:05,310
+هو مجموع ال addendum ال
+
+453
+00:40:05,310 --> 00:40:08,990
+.. ال total depth .. depth اللي هو مجموع ال ..
+
+454
+00:40:08,990 --> 00:40:11,330
+اللي هو .. هذا هو ال working depth .. هذا هو ال
+
+455
+00:40:11,330 --> 00:40:15,680
+working depthال total depth هو عمق السن الكل من ال
+
+456
+00:40:15,680 --> 00:40:20,740
+route .. من ال route لل .. لل outside ده متر ال
+
+457
+00:40:20,740 --> 00:40:23,580
+total depth احنا عارفين انها بالساوية اللي هو ال
+
+458
+00:40:23,580 --> 00:40:27,980
+addendum زاد addendum ال working depth هو مجموع ال
+
+459
+00:40:27,980 --> 00:40:32,480
+addendum لل pinion زاد ال addendum لل .. لل .. لل
+
+460
+00:40:32,480 --> 00:40:37,830
+gearطبعا هذا ال base radius للجير، هذا ال pitch
+
+461
+00:40:37,830 --> 00:40:42,910
+radius للجير، هذا ال outside radius للجير، هذا
+
+462
+00:40:42,910 --> 00:40:47,910
+يسمى ال top land، هذا ال involute profile، و في
+
+463
+00:40:47,910 --> 00:40:51,670
+عندى بتكون هنا و هنا في زى دوران خفيف يسمى ال
+
+464
+00:40:51,670 --> 00:40:55,650
+fillet، ال fillet بتكون عاملة اللى هي دوران بين ال
+
+465
+00:40:55,650 --> 00:40:59,150
+root circle أو ال dendrum circle و ال involute
+
+466
+00:40:59,150 --> 00:41:03,270
+profileهذا الكلام حكيناه بس انا حابب أعيده عشان
+
+467
+00:41:03,270 --> 00:41:10,030
+انرسخ المعلومة الان
+
+468
+00:41:10,030 --> 00:41:16,630
+انا عندي ترسين ترس مركز دورانه O1 they are in mesh
+
+469
+00:41:16,630 --> 00:41:20,990
+و الترس التاني ال driven اللي هو الجير مركز دورانه
+
+470
+00:41:20,990 --> 00:41:26,050
+عند O2 الخط الواصل بين A1 و A2 بسميه ال center
+
+471
+00:41:26,050 --> 00:41:30,400
+distanceالنقطة الطبيعية الآن هاد ال base circle
+
+472
+00:41:30,400 --> 00:41:34,540
+هاد ال base circle لل driver هاد ال base circle لل
+
+473
+00:41:34,540 --> 00:41:37,980
+driven الخط ال tangent between the two base
+
+474
+00:41:37,980 --> 00:41:43,600
+circles بسميه line of action الزاوية هاد بسميها ال
+
+475
+00:41:43,600 --> 00:41:48,220
+pressure angle زاوية الضغط الآن ال force اللي
+
+476
+00:41:48,220 --> 00:41:55,280
+بتأثر بين الأسنان اللي صار تعشيق بينهم اللي هي F
+
+477
+00:41:55,990 --> 00:42:00,950
+الها مركبتين واحدة بتجاه F tangential واحدة بتجاه
+
+478
+00:42:00,950 --> 00:42:04,770
+ال vertical F radial يعني ال total force اللي هي
+
+479
+00:42:04,770 --> 00:42:08,850
+بتأثر بتجاه line of action الها مركبتين واحدة
+
+480
+00:42:08,850 --> 00:42:12,470
+tangential component يعني ال pitch circle واحدة
+
+481
+00:42:12,470 --> 00:42:14,990
+radial بتجاه مركز الترس
+
+482
+00:42:18,220 --> 00:42:22,300
+الـ torque العزم .. العزم هيكون يساوي ال
+
+483
+00:42:22,300 --> 00:42:25,740
+tangential force في نص القطر F tangential في نص
+
+484
+00:42:25,740 --> 00:42:30,480
+القطر F tangential بيساوي F cosine في و F radial
+
+485
+00:42:30,480 --> 00:42:39,940
+بيساوي F sin في طيب
+
+486
+00:42:39,940 --> 00:42:45,880
+ال systems of gear teeth أنظمة الأسنان في الاتروس
+
+487
+00:42:46,920 --> 00:42:50,520
+احنا هندرس الآن في ال course هذا four systems of
+
+488
+00:42:50,520 --> 00:42:53,240
+gear teeth are in common practice في اللي هو اللي
+
+489
+00:42:53,240 --> 00:42:57,640
+في الممارسة الهندسية العملية في عندي أربع أنظم
+
+490
+00:42:57,640 --> 00:43:00,920
+للأسنان للأسنان في عندي الأربع تاشر و نص composite
+
+491
+00:43:00,920 --> 00:43:03,460
+system أربع تاشر و نص degree اللي لما بيحكي أربع
+
+492
+00:43:03,460 --> 00:43:06,060
+تاشر و نص يعني بيحكي على pressure angle Phi في
+
+493
+00:43:06,060 --> 00:43:10,050
+عندي أربع تاشر و نص full depth involute systemفي
+
+494
+00:43:10,050 --> 00:43:13,210
+عندي عشرين ديجري fold-depth envelope system وفي
+
+495
+00:43:13,210 --> 00:43:16,910
+عشرين ديجري stop envelope system stop envelope
+
+496
+00:43:16,910 --> 00:43:21,650
+يعني السن بيكون قصير سن الترس بيكون قصير ال
+
+497
+00:43:21,650 --> 00:43:26,290
+pressure أنا جالة عشرين الجدول اللي مبين أمامي
+
+498
+00:43:26,290 --> 00:43:29,390
+مبين اللي هو أنظمة اللي هي أربعاش و نص composite
+
+499
+00:43:29,390 --> 00:43:33,490
+or fold-depth والعشرين ديجري fold-depth والعشرين
+
+500
+00:43:33,490 --> 00:43:38,140
+ديجري stopأمارجيني قيم الـ addendum و ال dedendum
+
+501
+00:43:38,140 --> 00:43:40,920
+و ال working depth و ال minimum total depth و ال
+
+502
+00:43:40,920 --> 00:43:43,080
+tooth thickness و ال minimum clearance و ال fillet
+
+503
+00:43:43,080 --> 00:43:47,080
+radius at the root as a function of module يعني في
+
+504
+00:43:47,080 --> 00:43:50,160
+حالة في حالة اربع تاشر و نص composite or full
+
+505
+00:43:50,160 --> 00:43:54,780
+depth tooth ال addendum بيساو واحد في الموديول ال
+
+506
+00:43:54,780 --> 00:43:57,740
+dedendum بيساو واحد و ربع في الموديول ال working
+
+507
+00:43:57,740 --> 00:44:02,530
+depthبساوي اللي هي اتنين في الموديول ال total
+
+508
+00:44:02,530 --> 00:44:05,450
+depth اللي هو عبارة عن addendum زاد addendum واحد
+
+509
+00:44:05,450 --> 00:44:09,330
+زاد واحد وربع اللي هي اتنين وربع في الموديول ال
+
+510
+00:44:09,330 --> 00:44:13,970
+tooth thickness بساوية point خمس سبعة او تمانية في
+
+511
+00:44:13,970 --> 00:44:18,110
+الموديول ال minimum clearance ربع الموديول ال
+
+512
+00:44:18,110 --> 00:44:21,170
+fillet radius of the root بساوية point four في
+
+513
+00:44:21,170 --> 00:44:25,390
+الموديول طيب
+
+514
+00:44:25,390 --> 00:44:27,470
+انحل ال example
+
+515
+00:44:46,850 --> 00:44:53,290
+نقرأ السؤال a single reduction gear of 120
+
+516
+00:44:53,290 --> 00:44:58,990
+kilowatt ال power عندي يعني ال power بيساوة 120
+
+517
+00:44:58,990 --> 00:45:03,390
+كيلو وات with
+
+518
+00:45:03,390 --> 00:45:07,650
+a pinion ال pinion بتاع 250 ميلي متر pitch circuit
+
+519
+00:45:07,650 --> 00:45:13,170
+diameter هاي ال pinion وهاي
+
+520
+00:45:13,170 --> 00:45:13,550
+ال gear
+
+521
+00:45:19,280 --> 00:45:25,860
+هداش الـ gear وده
+
+522
+00:45:25,860 --> 00:45:30,820
+pinion ال pitch circle ده متر لل pinion دي لل
+
+523
+00:45:30,820 --> 00:45:36,500
+pinion بسوا متين و خمسين ملي متر قطر ال pitch
+
+524
+00:45:36,500 --> 00:45:41,420
+circle لل pinion متين و خمسين ملي متر و ال speed
+
+525
+00:45:41,420 --> 00:45:45,240
+بتاعة ال pinion ال N
+
+526
+00:45:48,530 --> 00:45:57,250
+ست مية و خمسين ر بي ام ست مية و خمسين ر بي ام
+
+527
+00:45:57,250 --> 00:46:03,570
+ال support on bearings on either side calculate
+
+528
+00:46:03,570 --> 00:46:06,910
+the total load due to the power it transmitted
+
+529
+00:46:06,910 --> 00:46:13,390
+الان طبعا هكون عندي هاي ال total load
+
+530
+00:46:17,150 --> 00:46:25,030
+F و هدا هتكون ال pressure angle فيه هكون لها
+
+531
+00:46:25,030 --> 00:46:35,590
+مركبتين F tangential و F radial ال F tangential
+
+532
+00:46:35,590 --> 00:46:39,450
+بيستوى
+
+533
+00:46:39,450 --> 00:46:44,410
+F cosine فيه
+
+534
+00:46:46,610 --> 00:46:51,530
+الـ Phi معطنية هو بمناسبة الـ Phi بستوى عشرين درجة
+
+535
+00:46:51,530 --> 00:46:55,950
+ال
+
+536
+00:46:55,950 --> 00:47:00,110
+.. ال .. ال torque بستوى
+
+537
+00:47:00,110 --> 00:47:07,050
+F tangential في ال radius و
+
+538
+00:47:07,050 --> 00:47:12,010
+ال power بستوى ال torque في Omega
+
+539
+00:47:15,670 --> 00:47:20,710
+انعوض يعني ال power يعني ال torque هيكون الساوى ال
+
+540
+00:47:20,710 --> 00:47:26,690
+power عندى مائة و عشرين في الف على اوميجا اوميجا
+
+541
+00:47:26,690 --> 00:47:30,910
+خليني احسبه على جنب يعني اوميجا بالساوى ستمية و
+
+542
+00:47:30,910 --> 00:47:34,870
+خمسين بدى احوالي ال radius per second في اتنين باي
+
+543
+00:47:34,870 --> 00:47:36,690
+على ستين
+
+544
+00:48:06,370 --> 00:48:11,850
+وبتطلع تمانية و ستين point
+
+545
+00:48:11,850 --> 00:48:19,430
+o تلاتة radians per second هي دي ال omega يعني انا
+
+546
+00:48:19,430 --> 00:48:24,830
+هقسم هنا على تمانية و ستين point o تلاتة يعني ال
+
+547
+00:48:24,830 --> 00:48:28,750
+torque هيطلع مية و عشرين
+
+548
+00:48:35,420 --> 00:48:39,220
+فى الف تقسيم
+
+549
+00:48:39,220 --> 00:48:47,860
+تمانية و ستين point او تلاتة بتطلع الف و سبعمية و
+
+550
+00:48:47,860 --> 00:48:56,760
+اربعة و ستين نيوتن متر حكينا ال torque بالساوية F
+
+551
+00:48:56,760 --> 00:48:58,260
+tangential فى R
+
+552
+00:49:04,480 --> 00:49:07,980
+هي عن ال after engine shell هتكون تستوى ال torque
+
+553
+00:49:07,980 --> 00:49:10,980
+على ال radius ال torque اللي هو الف و سبعمية و
+
+554
+00:49:10,980 --> 00:49:14,220
+أربعة و ستين ال radius أنا عندي القطر معطنية
+
+555
+00:49:14,220 --> 00:49:16,220
+مائتين و خمسين معناته ال radius بيها خمسة و عشرين
+
+556
+00:49:16,220 --> 00:49:24,400
+على point واحد اتنين خمسة تقسيم
+
+557
+00:49:24,400 --> 00:49:28,680
+تطلع
+
+558
+00:49:28,680 --> 00:49:30,880
+الف و أربعمية اربعتاشر الف
+
+559
+00:49:34,270 --> 00:49:39,810
+فى نيوتن الـ
+
+560
+00:49:39,810 --> 00:49:48,110
+FT هذه بيستوى F Cos فى فى فى فى فى فى فى فى فى فى
+
+561
+00:49:48,110 --> 00:49:48,930
+فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى
+
+562
+00:49:48,930 --> 00:49:49,390
+فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى
+
+563
+00:49:49,390 --> 00:49:52,490
+فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى
+
+564
+00:49:52,490 --> 00:49:55,230
+فى فى فى فى فى فى فى فى ف
+
+565
+00:50:19,340 --> 00:50:24,540
+بتطلع خمستاشر الف و سبعتاشر .. خمستاشر الف و
+
+566
+00:50:24,540 --> 00:50:28,460
+سبعتاشر نيوتن ..معناته ال total load اللي هو F
+
+567
+00:50:28,460 --> 00:50:32,540
+بالساوية خمستاشر الف و سبعتاشر نيوتن ..يعني حوالي
+
+568
+00:50:32,540 --> 00:50:36,200
+خمستاشر كيلو نيوتن ..هكذا يكون أنهينا المحاضرة
+
+569
+00:50:36,200 --> 00:50:39,680
+الأولى في مادة نظرية الألات ..المرة الجاية بنكمل
+
+570
+00:50:39,680 --> 00:50:41,580
+في المحاضرة التانية ..عطيكوا العفو
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2wBRACQ_YUk_raw.json b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2wBRACQ_YUk_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..c7864b058cf6047c53c206718f03f46a9bb55d95
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2wBRACQ_YUk_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2334, "start": 5.2, "end": 23.34, "text": "بسم الله الرحمن الرحيم السلام عليكم ورحمة الله وبركاته، اليوم هنستقنف محاضراتنا في مادة نظرية الآلات، هنبدأ شابتر جديد اللي هو الـ tooth gearing أو التروس، بالشابتر هذا هنفهم النظرية الأساسية اللي عمل التروس", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21136, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224, 12399, 45595, 20498, 8032, 1863, 14851, 4587, 1863, 5172, 3714, 5016, 46958, 2288, 9307, 8315, 8978, 3714, 18513, 3660, 8717, 19913, 2288, 10632, 6024, 95, 1211, 9307, 12399, 8032, 1863, 44510, 10721, 13412, 16758, 2655, 2288, 10874, 16254, 3215, 13672, 1829, 31439, 2423, 39184, 11680, 1519, 1921, 34051, 16712, 32887, 3794, 12399, 20666, 8592, 16758, 2655, 2288, 23758, 8032, 1863, 5172, 16095, 28239, 19913, 2288, 10632, 16247, 3794, 32277, 10632, 13672, 1829, 6225, 42213, 16712, 32887, 3794], "avg_logprob": -0.15129950081948007, 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friction disk و هاد ال friction disk لكن في عندى الان صار فيه أسنان فبصير نقل الحركة بشكل دفعي، نقل الحركة بيصير الان سن بدفع على سن يعني في عندك pushing action", "tokens": [6027, 7649, 6225, 8592, 7649, 1975, 5016, 36520, 15844, 3353, 3332, 4724, 25957, 1211, 1975, 8315, 9122, 33456, 3224, 13412, 995, 33911, 9957, 32748, 16373, 25720, 6024, 110, 2288, 4587, 16606, 12174, 995, 22488, 3660, 9122, 10721, 8315, 17710, 12355, 4032, 8032, 18513, 2423, 17710, 12355, 44381, 8978, 43242, 7578, 2423, 7649, 20328, 9640, 8978, 3224, 5551, 3794, 1863, 7649, 6156, 3555, 9381, 13546, 8717, 4587, 1211, 21542, 31747, 3660, 4724, 8592, 28820, 11778, 5172, 3615, 1829, 12399, 8717, 4587, 1211, 21542, 31747, 3660, 4724, 1829, 9381, 13546, 2423, 7649, 8608, 1863, 47525, 5172, 3615, 15844, 8608, 1863, 37495, 22653, 8978, 43242, 4117, 7380, 3069], "avg_logprob": -0.16715802182004136, "compression_ratio": 1.7844036697247707, "no_speech_prob": 0.0, "words": [{"start": 152.14, "end": 152.6, "word": "الان", 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الزاوية Alpha زاوية هذه Alpha هتكون تساوي الزاوية", "tokens": [6877, 5691, 16070, 29973, 4117, 49401, 24976, 7435, 38251, 16712, 7649, 1829, 24976, 691, 66, 17, 6055, 7435, 40294, 2423, 2689, 2710, 8032, 2655, 30544, 691, 66, 17, 3792, 9861, 691, 66, 17, 3792, 9861, 6024, 48506, 1975, 2655, 9566, 1211, 3615, 6024, 110, 995, 2407, 10632, 6024, 110, 995, 2407, 10632, 20588, 30767, 995, 2407, 10632, 29538, 20588, 8032, 2655, 30544, 6055, 3794, 995, 45865, 6024, 110, 995, 2407, 10632], "avg_logprob": -0.2840711664822366, "compression_ratio": 1.576158940397351, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1313.09, "end": 1313.43, "word": "cos", "probability": 0.33251953125}, {"start": 1313.43, "end": 1314.67, "word": " α", "probability": 0.82763671875}, {"start": 1314.67, "end": 1315.99, "word": " والمركبة", "probability": 0.75439453125}, {"start": 1315.99, "end": 1316.57, "word": " للجسم", "probability": 0.8777669270833334}, {"start": 1316.57, "end": 1317.05, "word": " 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"probability": 0.92138671875}, {"start": 1349.64, "end": 1351.58, "word": " الزاوية", "probability": 0.8806640625}, {"start": 1351.58, "end": 1352.56, "word": " M", "probability": 0.78173828125}, {"start": 1352.56, "end": 1353.34, "word": " O1", "probability": 0.8798828125}, {"start": 1353.34, "end": 1353.76, "word": " C", "probability": 0.4599609375}, {"start": 1353.76, "end": 1354.88, "word": " Alpha", "probability": 0.640625}, {"start": 1354.88, "end": 1358.04, "word": " بالثاوية", "probability": 0.759765625}, {"start": 1358.04, "end": 1359.02, "word": " زاوية", "probability": 0.90576171875}, {"start": 1359.02, "end": 1360.08, "word": " M", "probability": 0.96826171875}, {"start": 1360.08, "end": 1361.94, "word": " O1", "probability": 0.9501953125}, {"start": 1361.94, "end": 1363.36, "word": " C", "probability": 0.82421875}, {"start": 1363.36, "end": 1364.38, "word": " و", "probability": 0.87939453125}, {"start": 1364.38, "end": 1364.78, "word": " Beta", "probability": 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"probability": 0.633056640625}, {"start": 1370.75, "end": 1372.39, "word": " معناته", "probability": 0.6728515625}, {"start": 1372.39, "end": 1372.81, "word": " cosine", "probability": 0.274169921875}, {"start": 1372.81, "end": 1373.45, "word": " alpha", "probability": 0.2880859375}, {"start": 1373.45, "end": 1376.57, "word": " cosine", "probability": 0.23095703125}, {"start": 1376.57, "end": 1376.97, "word": " alpha", "probability": 0.798828125}, {"start": 1376.97, "end": 1377.63, "word": " هتساوي", "probability": 0.8470703125}, {"start": 1377.63, "end": 1379.79, "word": " المثلث", "probability": 0.9556884765625}, {"start": 1379.79, "end": 1380.23, "word": " قائم", "probability": 0.9501953125}, {"start": 1380.23, "end": 1380.81, "word": " الزاوية", "probability": 0.9732421875}, {"start": 1380.81, "end": 1381.59, "word": " هكون", "probability": 0.77783203125}, {"start": 1381.59, "end": 1383.27, "word": " O1M", "probability": 0.8318684895833334}, {"start": 1383.27, "end": 1384.03, "word": " على", "probability": 0.33056640625}, {"start": 1384.03, "end": 1384.79, "word": " O1C", "probability": 0.9816080729166666}, {"start": 1384.79, "end": 1385.85, "word": " O1M", "probability": 0.86865234375}, {"start": 1385.85, "end": 1388.83, "word": " على", "probability": 0.78662109375}, {"start": 1388.83, "end": 1390.19, "word": " O1C", "probability": 0.9931640625}, {"start": 1390.19, "end": 1390.95, "word": " و", "probability": 0.9326171875}, {"start": 1390.95, "end": 1391.41, "word": " cosine", "probability": 0.78955078125}, {"start": 1391.41, "end": 1391.97, "word": " beta", "probability": 0.6982421875}, {"start": 1391.97, "end": 1394.31, "word": " هتكون", "probability": 0.9630533854166666}, {"start": 1394.31, "end": 1394.91, "word": " تساوي", "probability": 0.9569091796875}, {"start": 1394.91, "end": 1397.01, "word": " O2N", "probability": 0.9697265625}], "temperature": 1.0}, {"id": 59, "seek": 142381, "start": 1398.19, "end": 1423.81, "text": "على O2C معناته مركبة ال VC1 باتجاه الكوان نور هي VC1 هي عبارة عن Omega 1 في O1C في Cos α اللي هي O1M على O1C هتساوي", "tokens": [3615, 23942, 422, 17, 34, 20449, 8315, 47395, 3714, 31747, 49401, 2423, 41922, 16, 4724, 9307, 7435, 40294, 33251, 2407, 7649, 8717, 13063, 39896, 41922, 16, 39896, 6225, 3555, 9640, 3660, 18871, 27645, 502, 8978, 422, 16, 34, 8978, 15855, 5691, 13672, 1829, 39896, 422, 16, 44, 15844, 422, 16, 34, 8032, 2655, 3794, 995, 45865], "avg_logprob": -0.31277412280701755, "compression_ratio": 1.3208955223880596, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1398.19, "end": 1398.59, "word": "على", "probability": 0.7362060546875}, {"start": 1398.59, "end": 1400.27, "word": " O2C", "probability": 0.7298177083333334}, {"start": 1400.27, "end": 1403.81, "word": " معناته", "probability": 0.8411458333333334}, {"start": 1403.81, "end": 1406.11, "word": " مركبة", "probability": 0.8058268229166666}, {"start": 1406.11, "end": 1406.49, "word": " ال", "probability": 0.56640625}, {"start": 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another body بي rotate حوالي نقطة O2، الجسم الأولان بتدور بسرعة زاوية Omega 1", "tokens": [3224, 1863, 5016, 4117, 1829, 18871, 2423, 2101, 295, 7394, 1109, 12399, 41850, 8978, 18871, 16254, 732, 7510, 12399, 472, 1772, 307, 19627, 466, 935, 422, 16, 12399, 1071, 1772, 4724, 1829, 13121, 11331, 2407, 6027, 1829, 8717, 47432, 3660, 422, 17, 12399, 25724, 38251, 16247, 12610, 7649, 39894, 3215, 13063, 4724, 3794, 2288, 27884, 30767, 995, 2407, 10632, 27645, 502], "avg_logprob": -0.2037550338333653, "compression_ratio": 1.2752808988764044, "no_speech_prob": 0.0, "words": [{"start": 1424.87, "end": 1425.37, "word": "هنحكي", "probability": 0.8888671875}, {"start": 1425.37, "end": 1425.51, "word": " عن", "probability": 0.9873046875}, {"start": 1425.51, "end": 1425.65, "word": " ال", "probability": 0.79638671875}, {"start": 1425.65, "end": 1425.83, "word": " law", "probability": 0.64990234375}, {"start": 1425.83, "end": 1426.09, "word": " of", "probability": 0.98388671875}, {"start": 1426.09, 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للجير", "tokens": [6027, 2380, 14196, 1975, 2407, 2423, 909, 27574, 6329, 24976, 7435, 13546, 29538, 2423, 5593, 6329, 1975, 2407, 909, 27574, 6329, 24976, 2462, 313, 29538, 2423, 5593, 6329, 1975, 2407, 909, 27574, 6329, 24976, 7435, 13546], "avg_logprob": -0.3363597972972973, "compression_ratio": 1.78125, "no_speech_prob": 0.0, "words": [{"start": 2327.11, "end": 2327.39, "word": "ال", "probability": 0.98046875}, {"start": 2327.39, "end": 2327.85, "word": " outside", "probability": 0.267578125}, {"start": 2327.85, "end": 2328.57, "word": " diameter", "probability": 0.50341796875}, {"start": 2328.57, "end": 2328.95, "word": " او", "probability": 0.671875}, {"start": 2328.95, "end": 2329.05, "word": " ال", "probability": 0.9228515625}, {"start": 2329.05, "end": 2329.37, "word": " addendum", "probability": 0.580810546875}, {"start": 2329.37, "end": 2329.87, "word": " circle", "probability": 0.93603515625}, {"start": 2329.87, "end": 2330.73, "word": " للجير", "probability": 0.639892578125}, {"start": 2330.73, "end": 2331.55, "word": " هذه", "probability": 0.38720703125}, {"start": 2331.55, "end": 2332.45, "word": " ال", "probability": 0.974609375}, {"start": 2332.45, "end": 2332.79, "word": " root", "probability": 0.48291015625}, {"start": 2332.79, "end": 2333.43, "word": " circle", "probability": 0.96630859375}, {"start": 2333.43, "end": 2333.73, "word": " او", "probability": 0.942138671875}, {"start": 2333.73, "end": 2334.13, "word": " addendum", "probability": 0.6810302734375}, {"start": 2334.13, "end": 2334.81, "word": " circle", "probability": 0.9541015625}, {"start": 2334.81, "end": 2335.49, "word": " لل", "probability": 0.87890625}, {"start": 2335.49, "end": 2336.07, "word": " panion", "probability": 0.47186279296875}, {"start": 2336.07, "end": 2336.95, "word": " هذه", "probability": 0.697265625}, {"start": 2336.95, "end": 2337.79, "word": " ال", "probability": 0.96826171875}, {"start": 2337.79, "end": 2338.13, "word": " root", "probability": 0.8486328125}, {"start": 2338.13, "end": 2339.13, "word": " circle", "probability": 0.94970703125}, {"start": 2339.13, "end": 2339.63, "word": " او", "probability": 0.945556640625}, {"start": 2339.63, "end": 2340.31, "word": " addendum", "probability": 0.953125}, {"start": 2340.31, "end": 2340.97, "word": " circle", "probability": 0.95068359375}, {"start": 2340.97, "end": 2341.93, "word": " للجير", "probability": 0.9568684895833334}], "temperature": 1.0}, {"id": 97, "seek": 237117, "start": 2343.59, "end": 2371.17, "text": "هذه هو ال base circle هي ال circle from which we generate ال involute ال circle اللي ولدنا منها شكل ال involute هذا line of action خط عمل الدفع line of action و هذه الزاوية بسميها pressure angle تقاطع الخط الواصل بين مركز ال pinion و مركز ال gear مع الخط اللي عند ال pitch point بسميها نقطة pitch point", "tokens": [3224, 24192, 31439, 2423, 3096, 6329, 39896, 2423, 6329, 490, 597, 321, 8460, 2423, 2499, 1169, 2423, 6329, 13672, 1829, 4032, 1211, 3215, 8315, 9154, 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"word": " الف", "probability": 0.89404296875}, {"start": 3030.54, "end": 3030.72, "word": " و", "probability": 0.99658203125}, {"start": 3030.72, "end": 3031.54, "word": " سبعتاشر", "probability": 0.96484375}, {"start": 3031.54, "end": 3032.02, "word": " نيوتن", "probability": 0.958740234375}, {"start": 3032.02, "end": 3032.18, "word": " ..يعني", "probability": 0.7736002604166666}, {"start": 3032.18, "end": 3032.54, "word": " حوالي", "probability": 0.941162109375}, {"start": 3032.54, "end": 3033.3, "word": " خمستاشر", "probability": 0.96884765625}, {"start": 3033.3, "end": 3033.68, "word": " كيلو", "probability": 0.89013671875}, {"start": 3033.68, "end": 3034.38, "word": " نيوتن", "probability": 0.979736328125}, {"start": 3034.38, "end": 3035.02, "word": " ..هكذا", "probability": 0.64617919921875}, {"start": 3035.02, "end": 3035.28, "word": " يكون", "probability": 0.64892578125}, {"start": 3035.28, "end": 3035.68, "word": " أنهينا", "probability": 0.7496337890625}, {"start": 3035.68, "end": 3036.2, "word": " المحاضرة", "probability": 0.9910888671875}, {"start": 3036.2, "end": 3036.5, "word": " الأولى", "probability": 0.9755859375}, {"start": 3036.5, "end": 3036.62, "word": " في", "probability": 0.931640625}, {"start": 3036.62, "end": 3036.92, "word": " مادة", "probability": 0.8509114583333334}, {"start": 3036.92, "end": 3037.48, "word": " نظرية", "probability": 0.9532470703125}, {"start": 3037.48, "end": 3038.12, "word": " الألات", "probability": 0.7816569010416666}, {"start": 3038.12, "end": 3038.92, "word": " ..المرة", "probability": 0.7962239583333334}, {"start": 3038.92, "end": 3039.2, "word": " الجاية", "probability": 0.6656901041666666}, {"start": 3039.2, "end": 3039.68, "word": " بنكمل", "probability": 0.8025716145833334}, {"start": 3039.68, "end": 3039.8, "word": " في", "probability": 0.9521484375}, {"start": 3039.8, "end": 3040.38, "word": " المحاضرة", "probability": 0.9971923828125}, {"start": 3040.38, "end": 3041.02, "word": " التانية", "probability": 0.9842122395833334}, {"start": 3041.02, "end": 3041.34, "word": " ..عطيكوا", "probability": 0.7901611328125}, {"start": 3041.34, "end": 3041.58, "word": " العفو", "probability": 0.791015625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3041.907, "duration_after_vad": 2783.718749999989}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2wBRACQ_YUk_raw.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2wBRACQ_YUk_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..b2850d0e9ce606aba09dd9d090d09d6eba0c5600
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/2wBRACQ_YUk_raw.srt
@@ -0,0 +1,2292 @@
+1
+00:00:05,200 --> 00:00:08,480
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,480 --> 00:00:11,820
+وبركاته، اليوم هنستقنف محاضراتنا في مادة نظرية
+
+3
+00:00:11,820 --> 00:00:16,000
+الآلات، هنبدأ شابتر جديد اللي هو الـ tooth gearing
+
+4
+00:00:16,000 --> 00:00:21,280
+أو التروس، بالشابتر هذا هنفهم النظرية الأساسية
+
+5
+00:00:21,280 --> 00:00:29,050
+اللي عمل التروسالمواصفات الهندسية للترس المعايير
+
+6
+00:00:29,050 --> 00:00:34,250
+المستخدمة في التروس وبعض الحسابات اللازمة للتروس
+
+7
+00:00:34,250 --> 00:00:38,250
+بحيث نتجنب يصير تداخلات بين اللي هو ال two gears
+
+8
+00:00:38,250 --> 00:00:44,250
+انمش هنبدأ ب .. بما يسمى ال friction .. بما يسمى
+
+9
+00:00:44,250 --> 00:00:47,250
+ال friction wheels أنا مبين عندي هنا
+
+10
+00:00:50,810 --> 00:00:56,970
+انبين عندى .. عندى two wheels wheel A و wheel B
+
+11
+00:00:56,970 --> 00:01:02,050
+متلامساتين عند النقطة اللى انبينها على الشاشة ال
+
+12
+00:01:02,050 --> 00:01:06,970
+wheel A بتدور باتجاه عقارب الساعة ال wheel B أكيد
+
+13
+00:01:06,970 --> 00:01:12,190
+هتدور بعكس عقارب الساعة لأن في polling force P
+
+14
+00:01:12,190 --> 00:01:19,660
+بتخلى ال wheel A تلفالان نتجة ال friction لان في
+
+15
+00:01:19,660 --> 00:01:24,040
+رد فعل عمودي من a على b و من b على a ب .. اللي هي
+
+16
+00:01:24,040 --> 00:01:28,900
+normal force RN نتجة normal force و في احتكاك بين
+
+17
+00:01:28,900 --> 00:01:32,520
+ال wheel a و ال wheel b هتصير ال frictional force
+
+18
+00:01:32,520 --> 00:01:39,280
+الان ال motion هتنتقل الحركة هتنتقل من a لb بس
+
+19
+00:01:39,280 --> 00:01:45,040
+اللي هتصير اتجاه الحركة هينعكس لان طالما ان قوة ال
+
+20
+00:01:45,040 --> 00:01:51,160
+.. قوة Pأعلى من قوة الاحتكاك F بساوة Mu في R N
+
+21
+00:01:51,160 --> 00:01:55,120
+هيكون في عندى ال Velocity Ratio هضلها ثابتة بين A
+
+22
+00:01:55,120 --> 00:02:01,000
+و B إذا ال P قيمة ال force P كانت أعلى من قيمة قوة
+
+23
+00:02:01,000 --> 00:02:05,180
+الاحتكاك هيصير انزلاق لمحالة بين ال A و ال B و
+
+24
+00:02:05,180 --> 00:02:10,040
+هتبطل علاقة السرعة بين B و A ثابتة معناته في
+
+25
+00:02:10,040 --> 00:02:14,490
+الحالة هذه ال friction wheelsبيعطونيش positive
+
+26
+00:02:14,490 --> 00:02:16,630
+drive، إيش يعني positive drive؟ positive drive
+
+27
+00:02:16,630 --> 00:02:20,910
+يعني دايما بتكون ال .. النسبة بين سرعة A و سرعة B
+
+28
+00:02:20,910 --> 00:02:25,330
+ثابتة، إذا صار انزلاق عند إيه مش هت .. هتبطل ثابتة
+
+29
+00:02:25,330 --> 00:02:27,610
+وبالتالي it is not positive drive
+
+30
+00:02:32,140 --> 00:02:37,780
+الان عشان احصل على positive drive بعمل انا كأنه
+
+31
+00:02:37,780 --> 00:02:41,260
+شايفين الدائرة الزرقاء قاعدة كأنا friction disk و
+
+32
+00:02:41,260 --> 00:02:43,820
+هاد ال friction disk لكن في عندى الان صار فيه
+
+33
+00:02:43,820 --> 00:02:49,680
+أسنان فبصير نقل الحركة بشكل دفعي، نقل الحركة بيصير
+
+34
+00:02:49,680 --> 00:02:53,020
+الان سن بدفع على سن يعني في عندك pushing action
+
+35
+00:02:53,510 --> 00:02:56,750
+عندهين ال driver وعندهين ال follower ال driver it
+
+36
+00:02:56,750 --> 00:03:00,870
+pushes on the tooth of the driven وبالتالي مافيش
+
+37
+00:03:00,870 --> 00:03:07,090
+مجال يصير اي انزلاق وبالتالي النسبة بين سرعة ال
+
+38
+00:03:07,090 --> 00:03:12,070
+driver على ال driven او العكس بتظل ثابتة ومافيش
+
+39
+00:03:12,070 --> 00:03:17,670
+عنده sliding action الآن
+
+40
+00:03:17,670 --> 00:03:22,290
+ال gears اللي لها مزايا وليها عيوبمزايا الـ gears
+
+41
+00:03:22,290 --> 00:03:27,090
+انها تنقل الحركة
+
+42
+00:03:27,090 --> 00:03:34,970
+بين two shafts والولوستريشف يظل ثابتة رقم اتنين
+
+43
+00:03:34,970 --> 00:03:40,380
+يتم نقل كمية كبيرة من الطاقة من shaft ل shaftالـ
+
+44
+00:03:40,380 --> 00:03:43,060
+efficiency بتاعة الـ gears في لقل حركة عالية جدا
+
+45
+00:03:43,060 --> 00:03:48,840
+ممكن تتخطى ل 95% رقم أربع reliable service يعني
+
+46
+00:03:48,840 --> 00:03:54,580
+يعني الخدمة اللي نخدها يعتد بيها و تعطينا خدمة
+
+47
+00:03:54,580 --> 00:04:00,280
+لفترة طويلة رقم خمسة ممكن أرفع السرعة أو أقلل
+
+48
+00:04:00,280 --> 00:04:03,640
+السرعة من shaft ل shaft ب compact layout compact
+
+49
+00:04:03,640 --> 00:04:05,980
+layout يعني بحجم صغير نسبيا
+
+50
+00:04:09,190 --> 00:04:14,570
+العيوب بتاعة ال gear drives disadvantage أول شيء
+
+51
+00:04:14,570 --> 00:04:20,090
+تصنيع للتروس يتطلب عدد و أدوات خاصة فهذه أحد
+
+52
+00:04:20,090 --> 00:04:25,850
+العيوب رقم اتنين أي خطأ في قطع الأسنان ممكن يؤدي
+
+53
+00:04:25,850 --> 00:04:30,330
+لاحتزازات ميكانيكية وبالتالي بيؤدي للضجيج خلال
+
+54
+00:04:30,330 --> 00:04:31,990
+عملية نقل الحركة
+
+55
+00:04:35,230 --> 00:04:39,950
+الان تصنف ال .. ال .. ال truth طبقا للتالية ممكن
+
+56
+00:04:39,950 --> 00:04:43,170
+اصلا ال truth .. ال truth طبقا لل position of axis
+
+57
+00:04:43,170 --> 00:04:48,750
+of شاسم مواضع محاور الأعمدة اللي راكب عليها ال
+
+58
+00:04:48,750 --> 00:04:52,650
+truth او اتنين ال preferable velocity of gears
+
+59
+00:04:52,650 --> 00:04:55,670
+السرعة المحطية لل truth او النوع ال gearing ..
+
+60
+00:04:55,670 --> 00:04:57,490
+النوع ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+61
+00:04:57,490 --> 00:04:57,650
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+62
+00:04:57,650 --> 00:04:57,770
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+63
+00:04:57,770 --> 00:04:58,870
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+64
+00:04:58,870 --> 00:04:59,030
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+65
+00:04:59,030 --> 00:05:00,990
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+66
+00:05:00,990 --> 00:05:00,990
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+67
+00:05:00,990 --> 00:05:02,750
+.. ال .. ال .. ال .. ال .. ال .. ال ..
+
+68
+00:05:05,150 --> 00:05:09,170
+التصنيف الأول هو position of axis of shares يعني
+
+69
+00:05:09,170 --> 00:05:13,040
+ممكن أسميه هنا عندهال parallel .. parallel shafts
+
+70
+00:05:13,040 --> 00:05:15,640
+عندي هين .. عندي هين sparky high stairs و high
+
+71
+00:05:15,640 --> 00:05:20,320
+stairs محور الترس الأولاني موازي لمحور الترس
+
+72
+00:05:20,320 --> 00:05:24,720
+التاني فبسميه أعمدة متوازية نفس الشيء في عندي نوع
+
+73
+00:05:24,720 --> 00:05:29,300
+تاني عندي helical gears العمود العلوي موازي للعمود
+
+74
+00:05:29,300 --> 00:05:33,060
+السفلي وبتالي بسميه parallel shafts معناته هذا ال
+
+75
+00:05:33,060 --> 00:05:38,260
+position of axis of shafts they are parallelفي
+
+76
+00:05:38,260 --> 00:05:42,620
+حالة تانية اللي هي ال .. اللي هو intersecting axes
+
+77
+00:05:42,620 --> 00:05:45,620
+يعني دي هاي .. هاي محور ال .. محور الترس هذا، هاي
+
+78
+00:05:45,620 --> 00:05:49,300
+جاي أفقي، محور الترس هذا جاي رأسي و متقاطعين في
+
+79
+00:05:49,300 --> 00:05:53,540
+المصر، يعني معناته عندي محورين متقاطعين، برضه هذا
+
+80
+00:05:53,540 --> 00:05:56,440
+الترس اللي على اليمين، يعني دي هاي محور ل ..
+
+81
+00:05:56,440 --> 00:06:00,740
+للترس، وهي محور لترس تاني، المحاور متقاطعة، يعني
+
+82
+00:06:00,740 --> 00:06:04,220
+معناته عندي intersecting axes of shirts
+
+83
+00:06:07,740 --> 00:06:11,900
+الان بالنسبة للشخص ممكن يكون عنده المحاور غير
+
+84
+00:06:11,900 --> 00:06:16,400
+متوازية و غير متقاطع زي ما انا شايف عندهن عندهن ال
+
+85
+00:06:16,400 --> 00:06:20,920
+warm gear اللي هو ترس الدودة عند هاي محور و هاي
+
+86
+00:06:20,920 --> 00:06:24,960
+محور هن اول شي المحور هن لا هم متوازين ولا هم
+
+87
+00:06:24,960 --> 00:06:27,140
+متقاطعين يعني هي عندهاي المحور هذا و المحور ..
+
+88
+00:06:27,140 --> 00:06:31,080
+بعيدين عن بعض في مسافة و معناته الحالة التالتة non
+
+89
+00:06:31,080 --> 00:06:33,740
+.. non intersecting and non parallel
+
+90
+00:06:36,530 --> 00:06:39,270
+هذا التصنيف الأول بيعني في التصنيف الأول لل truth
+
+91
+00:06:39,270 --> 00:06:43,490
+في عندي parallel .. parallel shafts في عندي
+
+92
+00:06:43,490 --> 00:06:47,710
+intersecting shafts و في عندي non-intersecting non
+
+93
+00:06:47,710 --> 00:06:51,510
+-parallel shafts التصنيف التاني طبقا للصورة
+
+94
+00:06:51,510 --> 00:06:55,930
+المنحوطية لل truth الصورة المنحوطية المقصود فيها
+
+95
+00:06:55,930 --> 00:06:57,830
+لما نرجع على الشكل هنا
+
+96
+00:07:02,030 --> 00:07:05,970
+السرعة المحطية هنا النقطة التلامس بتكون هي اللي هي
+
+97
+00:07:05,970 --> 00:07:08,630
+هتكون السرعة المحطية السرعة الذهبية في نص القطر
+
+98
+00:07:08,630 --> 00:07:14,970
+بتكون في هذا الاتجاه السرعة المحطية اللي ممكن
+
+99
+00:07:14,970 --> 00:07:17,650
+اصنفها low velocity medium velocity او high
+
+100
+00:07:17,650 --> 00:07:19,430
+velocity ال low velocity اذا كانت السرعة المحطية
+
+101
+00:07:19,430 --> 00:07:21,990
+اقل من تلاتة متر على التاني بسميها low velocity
+
+102
+00:07:21,990 --> 00:07:25,970
+gearingإذا كانت الصرارة حطية بين تلاتة ولا خمساشر
+
+103
+00:07:25,970 --> 00:07:29,030
+متر على ثانية واسمها medium velocity إذا كانت ال
+
+104
+00:07:29,030 --> 00:07:31,590
+velocity أكتر من خمساشر متر على ثانية واسمها high
+
+105
+00:07:31,590 --> 00:07:32,030
+velocity
+
+106
+00:07:35,120 --> 00:07:39,320
+التصنيف طريقة التصنيف التالت طبقا للنوع ال gears
+
+107
+00:07:39,320 --> 00:07:44,560
+فى عندى هنا النوع الأول external gearing وسنانات
+
+108
+00:07:44,560 --> 00:07:48,040
+خارجية فى عندى على أقصى اليمين internal gearing
+
+109
+00:07:48,040 --> 00:07:52,160
+وسنانات داخلية عندهاى ترس تسنينه خارجي مع ترس
+
+110
+00:07:52,160 --> 00:07:55,920
+تسنينه داخلي والنوع التالت اللى هو rack and pinion
+
+111
+00:07:55,920 --> 00:07:58,840
+فى عندى ترس عدل مع ترس مدورة
+
+112
+00:08:03,090 --> 00:08:06,410
+التصنيف الرابع according to position of teeth on
+
+113
+00:08:06,410 --> 00:08:12,550
+gear surface طبقا لموضع اللي هو الاسنان على ال ..
+
+114
+00:08:12,550 --> 00:08:16,030
+ال gear surface فى عندى اللي هو تلت أنواع فى عندى
+
+115
+00:08:16,030 --> 00:08:18,810
+ال straight اللي هو يسمى ال spar و عندى ال
+
+116
+00:08:18,810 --> 00:08:22,990
+inclined helical و عندى ال curved spiral هنشوف ال
+
+117
+00:08:22,990 --> 00:08:28,330
+straight اللي هو ال sparزي هذا، هذا يسمى straight
+
+118
+00:08:28,330 --> 00:08:32,030
+tooth، الإسنان عدلة، الإسنان عدلة، في عندنا
+
+119
+00:08:32,030 --> 00:08:34,890
+inclined زي النوع اللي على اليمين هذا وفي عندي
+
+120
+00:08:34,890 --> 00:08:39,430
+spiral، شايفين كيف عند السن فيه ميلان، دوران، اللي
+
+121
+00:08:39,430 --> 00:08:40,970
+بسميه spiral tooth
+
+122
+00:08:47,070 --> 00:08:50,590
+الان خلينا نشوف ال geometric terms المستخدمة في ال
+
+123
+00:08:50,590 --> 00:08:56,570
+gears انا عندهين انبين جزء من terms انبين عندى سن
+
+124
+00:08:56,570 --> 00:09:02,760
+سنينعند الدائرة الخارجية هذه الدائرة الخارجية تمثل
+
+125
+00:09:02,760 --> 00:09:07,340
+ال outside diameter لل .. لل .. للترس ويلها اسم
+
+126
+00:09:07,340 --> 00:09:11,080
+تاني اللي هي ال addendum ال addendum circle هذا
+
+127
+00:09:11,080 --> 00:09:15,920
+يسمى الحمرا هذا ال addendum circle الدائرة السفلية
+
+128
+00:09:15,920 --> 00:09:21,660
+اللي هي ال root circle أو ال addendum circleفي
+
+129
+00:09:21,660 --> 00:09:26,660
+دائرة بينهم بسموها ال pitch circle هذه ال pitch
+
+130
+00:09:26,660 --> 00:09:32,120
+circle في عندي ال face width سماكة السن face width
+
+131
+00:09:33,160 --> 00:09:37,700
+اللي هو strength بالتجاه الموازية لمحور الترس ال
+
+132
+00:09:37,700 --> 00:09:41,860
+.. ال .. السن مكوّن جزئين رئيسيين .. السن مكوّن
+
+133
+00:09:41,860 --> 00:09:46,060
+جزئين رئيسيين اللي هو ال face و ال flank ال face
+
+134
+00:09:46,060 --> 00:09:49,780
+هو جزء أعلى ال pitch line ال pitch circle و ال
+
+135
+00:09:49,780 --> 00:09:52,560
+flank هو جزء من ال surface تحت ال pitch circle
+
+136
+00:09:57,220 --> 00:10:02,040
+في عندي ال total depth ال total depth طبعا قبل ان
+
+137
+00:10:02,040 --> 00:10:04,940
+اعرف ال total depth في عندي المسافة هذه من هنا بين
+
+138
+00:10:04,940 --> 00:10:08,260
+ال pitch circle و ال addendum circle المسافة هذه
+
+139
+00:10:08,260 --> 00:10:12,900
+بسميها ال addendum المسافة بين ال pitch circle و
+
+140
+00:10:12,900 --> 00:10:16,400
+ال addendum circle هذه المسافة بسميها ال addendum
+
+141
+00:10:17,340 --> 00:10:20,520
+عندي هذا المسافة اللي هي ال total depth العمق
+
+142
+00:10:20,520 --> 00:10:23,920
+الكلي للسن اللي هي عبارة عن مجموعة addendum زائد
+
+143
+00:10:23,920 --> 00:10:29,300
+addendum في
+
+144
+00:10:29,300 --> 00:10:32,520
+عندي طبعا ال .. ال .. ال .. عندي ما يسمى ال
+
+145
+00:10:32,520 --> 00:10:37,940
+clearance هذا المنطقة من هنا إلى هنا ال clearanceو
+
+146
+00:10:37,940 --> 00:10:41,940
+ال clearance اللي هو الان فعلا بيكون السن الخارجي
+
+147
+00:10:41,940 --> 00:10:45,960
+او الترس التاني بيكونش السن واصل للاخر بيكون واصل
+
+148
+00:10:45,960 --> 00:10:49,020
+للدائرة هذه فبيكون في فراغة فمعناته الفراغة هاتي
+
+149
+00:10:49,020 --> 00:10:52,700
+بسميه ال clearance و ال common distance بين
+
+150
+00:10:52,700 --> 00:10:56,680
+التانين اللي هي المجموع ال addendum للترس ل driver
+
+151
+00:10:56,680 --> 00:11:02,200
+و ل driven gear بسميها ال working .. ال working
+
+152
+00:11:02,200 --> 00:11:08,450
+depthطبعا عند ال pitch circle المسافة هذه بسميها
+
+153
+00:11:08,450 --> 00:11:12,590
+ال tooth thickness و المسافة من هنا إلى هنا
+
+154
+00:11:12,590 --> 00:11:17,410
+الفراغة هذي بسميها ال tooth space و .. و المسافة
+
+155
+00:11:17,410 --> 00:11:21,390
+بين النقطة و تكرارها يعني بين النقطة هذه و النقطة
+
+156
+00:11:21,390 --> 00:11:26,670
+هذه بسميها ال circular pitch circular pitch هيك
+
+157
+00:11:26,670 --> 00:11:30,570
+يكون غطينا ال geometric parameters لل .. لل .. لل
+
+158
+00:11:30,570 --> 00:11:32,550
+.. لل .. لل .. لل gear
+
+159
+00:11:36,140 --> 00:11:39,520
+في ما يسمى ال pressure angle ال pressure angle أنا
+
+160
+00:11:39,520 --> 00:11:43,620
+عندي هذا ما يسمى ال base circle هذا ال base circle
+
+161
+00:11:43,620 --> 00:11:48,640
+و هذا ال pitch circle و في هذا ال pitch point و
+
+162
+00:11:48,640 --> 00:11:53,140
+هذا ال pitch circle، الآن إذا بأرسم خط من ال pitch
+
+163
+00:11:53,140 --> 00:11:58,370
+pointمماس لل base circle هذا بيفثل ال pressure
+
+164
+00:11:58,370 --> 00:12:02,290
+line اللي هو بيكون ال force بين السن والسن acting
+
+165
+00:12:02,290 --> 00:12:06,870
+along this line الزاوية هذه اللي بين ال common
+
+166
+00:12:06,870 --> 00:12:11,150
+normal و ال common tangent تسمى ال pressure angle
+
+167
+00:12:11,150 --> 00:12:20,070
+اللي هي زاوية الضغط هذا
+
+168
+00:12:20,070 --> 00:12:27,720
+كله حكيناه الآنفي ما يسمى backlash، lash يعني
+
+169
+00:12:27,720 --> 00:12:33,380
+فراغ، backlash يعني فراغ من الخلف ال backlash هو
+
+170
+00:12:33,380 --> 00:12:38,930
+الفرق بين ال tooth space و ال tooth thicknessas
+
+171
+00:12:38,930 --> 00:12:41,950
+measured along the pitch circle يعني في عندي سن و
+
+172
+00:12:41,950 --> 00:12:45,910
+سن بيكونوا لبسين في بعض بيكونوش جايين حاكم بيكون
+
+173
+00:12:45,910 --> 00:12:49,930
+فيه فراغة الفراغ بين السنين بسمي backlash نظريا
+
+174
+00:12:49,930 --> 00:12:54,270
+المفروض يكون هذا zero لكن في الممارسة العملية لازم
+
+175
+00:12:54,270 --> 00:12:58,590
+احنا نسمح انه شو يكون فيه شوية فراغ بين الأسنان لل
+
+176
+00:12:58,590 --> 00:13:03,300
+ترس of the driver andthe driven otherwise إذا
+
+177
+00:13:03,300 --> 00:13:06,720
+ماكنش فيه فراغ يعني محكم هيصير الملازجين في بعض
+
+178
+00:13:06,720 --> 00:13:11,480
+الصناع و حركتهم صعبة و إذا بيصير ارتفاع داشر حرارة
+
+179
+00:13:11,480 --> 00:13:15,580
+نتيجة الاحتكاك ممكن تصير expansion و بطل الترس يلف
+
+180
+00:13:15,580 --> 00:13:19,300
+معاه فلازم عمليا أخلي شوية فراغ بين الأصناع اللي
+
+181
+00:13:19,300 --> 00:13:26,180
+هو ما يسمى backlash طيب
+
+182
+00:13:30,120 --> 00:13:33,740
+الcircular pitch هي ال distance measured on the
+
+183
+00:13:33,740 --> 00:13:36,780
+circumference of the pitch circle from a point of
+
+184
+00:13:36,780 --> 00:13:38,540
+one tooth to a corresponding point in the next
+
+185
+00:13:38,540 --> 00:13:42,900
+tooth نرجع للشكل الcircular
+
+186
+00:13:42,900 --> 00:13:46,900
+pitch هي المسافة بين النقطة وتكرارها يعني عند انا
+
+187
+00:13:46,900 --> 00:13:53,050
+بديت مثلا من النقطة هذه ماشي ماشياللي حصل هو هذه
+
+188
+00:13:53,050 --> 00:13:58,330
+المسافة من هنا لهنا المسافة هذه بسميها ال circular
+
+189
+00:13:58,330 --> 00:14:01,910
+pitch ال circular pitch طبعا بيستخدم محيط ال pitch
+
+190
+00:14:01,910 --> 00:14:05,990
+circle محيط ال pitch circle على عدد الأسنان ومحيط
+
+191
+00:14:05,990 --> 00:14:09,350
+ال pitch circle هو ال by في ال diameter بتاع ال
+
+192
+00:14:09,350 --> 00:14:13,160
+pitch circle علىوبالتالي ال pitch circle بيصور
+
+193
+00:14:13,160 --> 00:14:16,700
+محيط ال pitch circle على عدد أسنان ال pi في d على
+
+194
+00:14:16,700 --> 00:14:21,880
+t ال pi أنتوا عارفين اللي هي ال 3.14 ال d اللي هو
+
+195
+00:14:21,880 --> 00:14:25,980
+ال diameter of the pitch circle ال t عدد أسنان
+
+196
+00:14:25,980 --> 00:14:30,140
+الترس for
+
+197
+00:14:30,140 --> 00:14:37,300
+two gears عشان ترسين يتم التعشيق بينهم بشكل صحيح
+
+198
+00:14:38,980 --> 00:14:43,540
+لازم يكون يلهم نفس ال circular pitch يعني ال
+
+199
+00:14:43,540 --> 00:14:46,640
+circle pitch لترس الأولاني بيستوى ال circular
+
+200
+00:14:46,640 --> 00:14:50,140
+pitch لل .. لل .. للترس التاني يعني هكون by D واحد
+
+201
+00:14:50,140 --> 00:14:53,020
+على D واحد بيستوى by D .. D اتنين .. اتنين على D
+
+202
+00:14:53,020 --> 00:14:56,780
+اتنين D واحد و D اتنين هي ال diameters of the
+
+203
+00:14:56,780 --> 00:15:00,850
+pitch circles of the driver and driven gearT1 و T2
+
+204
+00:15:00,850 --> 00:15:05,090
+هي عدد أسنان للـ Driver و عدد أسنان للـ Driven و
+
+205
+00:15:05,090 --> 00:15:08,630
+الـ Pi اللي هي الرقم اللي هي 3.14 ممكن اختصر الـ
+
+206
+00:15:08,630 --> 00:15:13,290
+Pi من الطرفين بي مع بي بتروح بس عندي D1 على D2
+
+207
+00:15:13,290 --> 00:15:17,630
+بالساوية T1 على T2 معناته النسب بين قطر ال driver
+
+208
+00:15:17,630 --> 00:15:21,830
+على قطر ال driven يتناسب تناسب ترضي بين نسبة عدد
+
+209
+00:15:21,830 --> 00:15:24,350
+أسنان على driver على عدد أسنان تحت ال driven
+
+210
+00:15:24,350 --> 00:15:29,740
+معناته كل ما كبركل .. كل ما زادت عدد أسنان تاعت ال
+
+211
+00:15:29,740 --> 00:15:36,060
+terce المفروض القطر يكبر في
+
+212
+00:15:36,060 --> 00:15:40,240
+مصطلح ما يسمى ال diameter ال pitch ال diameter ال
+
+213
+00:15:40,240 --> 00:15:46,260
+pitch هي النسب بين عدد الأسنان لقطر ال pitch
+
+214
+00:15:46,260 --> 00:15:49,360
+circle diameter ال pitch فانا تستوى النسب بين عدد
+
+215
+00:15:49,360 --> 00:15:55,230
+الأسنان لل terce على قطر ال pitch circleو بيستوى
+
+216
+00:15:55,230 --> 00:15:59,450
+PIE على Circular Pitch فين دي الموديول .. الموديول
+
+217
+00:15:59,450 --> 00:16:02,730
+عكسه هي النسبة بين .. الموديول طبعا ال .. ال ..
+
+218
+00:16:02,730 --> 00:16:06,410
+الموديول استخدم في نظام الوحدات المترية Diameter
+
+219
+00:16:06,410 --> 00:16:09,770
+per Pitch استخدم في نظام الوحدات الإنجليزية في
+
+220
+00:16:09,770 --> 00:16:12,790
+نظام الوحدات المترية بيستخدم مصطلح الموديول هو
+
+221
+00:16:12,790 --> 00:16:16,450
+النسبة بين ال pitch circle diameter وعدد الأسنان
+
+222
+00:16:16,450 --> 00:16:20,510
+يعني الموديول M بيستوى D على T ووحدة الموديول
+
+223
+00:16:20,510 --> 00:16:21,070
+millimeter
+
+224
+00:16:25,990 --> 00:16:32,170
+ال law of gearing الآن .. الآن عشان
+
+225
+00:16:32,170 --> 00:16:36,110
+أضمن يصير conjugate او positive drive between two
+
+226
+00:16:36,110 --> 00:16:54,090
+profiles هنخلن أرسم عندي
+
+227
+00:16:54,090 --> 00:17:02,450
+هايsome rigid body الو مركز دوران O واحد وفي
+
+228
+00:17:02,450 --> 00:17:06,310
+another rigid body
+
+229
+00:17:06,310 --> 00:17:16,290
+الو
+
+230
+00:17:16,290 --> 00:17:17,070
+مركز دوران
+
+231
+00:17:19,920 --> 00:17:31,700
+O اتنين في نقطة التماس بين التنين اللي هي C عند
+
+232
+00:17:31,700 --> 00:17:39,820
+الجسم هذا بدور بسرعة زاوية O من جوا احد معناه هذا
+
+233
+00:17:39,820 --> 00:17:45,960
+بدور في عكس عقار بالساعة يعني
+
+234
+00:17:45,960 --> 00:17:54,930
+انا هيكون عند هنالو وصلت O1C نقطة
+
+235
+00:17:54,930 --> 00:17:58,850
+C ممكن اعتبرها كأنها مرة ده درسها كأنها مرة موجودة
+
+236
+00:17:58,850 --> 00:18:02,010
+على ال body الأولاني و كأنها مرة موجودة على ال
+
+237
+00:18:02,010 --> 00:18:12,670
+body التاني هتكون سرعة النقطة C هي عند VC1 هتزاه
+
+238
+00:18:12,670 --> 00:18:15,150
+عمودية VC1
+
+239
+00:18:17,410 --> 00:18:24,310
+مستوى omega واحد في O واحد C هذا كما لو كانت على
+
+240
+00:18:24,310 --> 00:18:27,830
+ال body الأول يعني الان كما لو كانت على ال body
+
+241
+00:18:27,830 --> 00:18:32,610
+التاني خليني
+
+242
+00:18:32,610 --> 00:18:34,090
+بس أغير بالشكل شوية
+
+243
+00:18:48,950 --> 00:18:57,270
+هي O2 هتكون
+
+244
+00:18:57,270 --> 00:19:09,490
+عند Vc Vc2 طبعا
+
+245
+00:19:09,490 --> 00:19:14,390
+هذا ال common normal هذا ال common
+
+246
+00:19:18,920 --> 00:19:24,300
+هذا ال common normal
+
+247
+00:19:24,300 --> 00:19:31,660
+أو
+
+248
+00:19:31,660 --> 00:19:35,680
+خلّيني أرجع على الشكل الموجود على الشاشة خلّيني
+
+249
+00:19:35,680 --> 00:19:38,600
+أرجع على الشكل الموجود على الشاشة أنا ببين عندي
+
+250
+00:19:38,600 --> 00:19:46,950
+جسم الجسم على الشاشة عنديعند جسم واحد الجسم الأخضر
+
+251
+00:19:46,950 --> 00:19:52,050
+وعند جسم اتنين الجسم الأزرق الجسم واحد بدوره حوالي
+
+252
+00:19:52,050 --> 00:19:59,070
+مركز O واحد بسرعة زاوية Omega واحدالجسم 2 أكيد
+
+253
+00:19:59,070 --> 00:20:05,530
+هيدور بسرعة زاوية Omega 2 وفيه نقطة تلامس C هذا هو
+
+254
+00:20:05,530 --> 00:20:09,570
+خط التماس بين الجسمين على النقطة C اللي هي common
+
+255
+00:20:09,570 --> 00:20:15,250
+tangent و العمودي عليه هو ال common normal ال
+
+256
+00:20:15,250 --> 00:20:22,080
+common normal الآن النقطة C هيعتبرها مرة مرةمشتركة
+
+257
+00:20:22,080 --> 00:20:24,520
+هي بين ال body واحد و ال body اتنين إذا كانت على
+
+258
+00:20:24,520 --> 00:20:28,580
+ال body واحد هتكون VC واحد هتكون سواء Omega واحد
+
+259
+00:20:28,580 --> 00:20:34,940
+في O واحد C VC واحد بسواء Omega واحد في O واحد C
+
+260
+00:20:34,940 --> 00:20:40,160
+والنقطة
+
+261
+00:20:40,160 --> 00:20:43,740
+C لما تكون على ال body اتنين هتكون عند VC اتنين
+
+262
+00:20:43,740 --> 00:20:50,350
+بسواء Omega اتنين في O اتنين C معناته VC اتنينVC2
+
+263
+00:20:50,350 --> 00:20:59,010
+ثم Omega 2 ثم O2C الآن
+
+264
+00:20:59,010 --> 00:21:05,710
+ال
+
+265
+00:21:05,710 --> 00:21:11,650
+VC1بتعمل زاوية Alpha مع ال common normal ال VC
+
+266
+00:21:11,650 --> 00:21:14,730
+واحد هتعمل زاوية Alpha مع ال common normal و ال
+
+267
+00:21:14,730 --> 00:21:21,090
+VC2 بتعمل زاوية Beta مع ال common normal الآن ال
+
+268
+00:21:21,090 --> 00:21:25,410
+VC واحد ممكن احليله لو مركبتين مركبة في اتجاه ال
+
+269
+00:21:25,410 --> 00:21:29,860
+common normal و مركبة في اتجاه ال common tangentو
+
+270
+00:21:29,860 --> 00:21:33,820
+نفس الاشي VC2 ممكن احليه لو مراكبتين مراكب اتجاه
+
+271
+00:21:33,820 --> 00:21:37,080
+ال common normal و مراكب اتجاه ال common tangent
+
+272
+00:21:37,080 --> 00:21:39,940
+الان المراكب اتجاه ال common normal بهذا الاتجاه
+
+273
+00:21:39,940 --> 00:21:43,960
+اللي هي هتكون المراكبة ال VC1 باتجاه ال common
+
+274
+00:21:43,960 --> 00:21:49,780
+normal هتكون VC1 cos α المراكب اتجاه ال common
+
+275
+00:21:49,780 --> 00:21:58,210
+normal VC1cos α والمركبة للجسم التاني لل Vc2 تجاه
+
+276
+00:21:58,210 --> 00:22:08,170
+ال common normal هتكون Vc2 cos beta Vc2 cos beta
+
+277
+00:22:08,170 --> 00:22:15,810
+الآن اتطلع الزاوية الزاوية Alpha زاوية هذه Alpha
+
+278
+00:22:15,810 --> 00:22:22,880
+هتكون تساوي الزاويةاللي هو M طبعا انا بنزل عمودي
+
+279
+00:22:22,880 --> 00:22:26,960
+من O1 على M عمودي على كمان Normal و بنزل O2 عمودي
+
+280
+00:22:26,960 --> 00:22:34,880
+على كمان Normal O2N لان هتكون الزاوية M O1 C Alpha
+
+281
+00:22:34,880 --> 00:22:38,040
+بالثاوية
+
+282
+00:22:38,040 --> 00:22:52,390
+زاوية M O1 C و Beta بالثاوية زاوية NO2C معناته
+
+283
+00:22:52,390 --> 00:22:56,570
+cosine alpha cosine
+
+284
+00:22:56,570 --> 00:23:04,790
+alpha هتساوي المثلث قائم الزاوية هكون O1M على O1C
+
+285
+00:23:04,790 --> 00:23:17,010
+O1M على O1C و cosine beta هتكون تساوي O2N
+
+286
+00:23:18,190 --> 00:23:23,810
+على O2C معناته
+
+287
+00:23:23,810 --> 00:23:30,010
+مركبة ال VC1 باتجاه الكوان نور هي VC1 هي عبارة عن
+
+288
+00:23:30,010 --> 00:23:43,810
+Omega 1 في O1C في Cos α اللي هي O1M على O1C هتساوي
+
+289
+00:23:44,870 --> 00:23:48,370
+هنحكي عن ال law of gearings، أنا في عندي two
+
+290
+00:23:48,370 --> 00:23:53,910
+bodies، one body is rotating about point O1،
+
+291
+00:23:53,910 --> 00:23:58,650
+another body بي rotate حوالي نقطة O2، الجسم
+
+292
+00:23:58,650 --> 00:24:03,350
+الأولان بتدور بسرعة زاوية Omega 1و الجسم التاني
+
+293
+00:24:03,350 --> 00:24:07,230
+اكيد هتدور بسرعة ازاى و Omega 2 فى نقطة التلامس
+
+294
+00:24:07,230 --> 00:24:11,710
+الجسمين المتلامسين عند نقطة C بنرسم اللى هو
+
+295
+00:24:11,710 --> 00:24:14,810
+المتعامل ال common normal at point C هذا هو ال
+
+296
+00:24:14,810 --> 00:24:18,950
+common normal و فى عندى ال common tangent الان
+
+297
+00:24:18,950 --> 00:24:24,600
+النقطة Cممكن تدرس باعتبارها مرة على الجسم الأول و
+
+298
+00:24:24,600 --> 00:24:28,320
+مرة على الجسم التاني إذا درست النقطة C باعتبارها
+
+299
+00:24:28,320 --> 00:24:33,300
+على الجسم الأول هتكون VC واحد VC واحد هتكون سواء O
+
+300
+00:24:33,300 --> 00:24:41,380
+واحد C في Omega واحد وإذا درست النقطة C باعتبارها
+
+301
+00:24:41,380 --> 00:24:45,320
+على الجسم الثاني هتكون VC اتنين بسواء Omega اتنين
+
+302
+00:24:45,320 --> 00:24:55,840
+بسواء Omega اتنين في O اتنين Cالان ال VC1 بتعمل
+
+303
+00:24:55,840 --> 00:25:00,520
+زاوية Alpha مع ال Common Normal و VC2 بتعمل زاوية
+
+304
+00:25:00,520 --> 00:25:10,340
+Beta مع ال Common Tangent الان مراكبة ال VC1 بتجاه
+
+305
+00:25:10,340 --> 00:25:16,130
+ال Common Normal عبارة عن VC1 Cos Alphaو مركبة ال
+
+306
+00:25:16,130 --> 00:25:21,110
+VC2 باتجاه ال common normal بالسواء VC2 Cos Beta
+
+307
+00:25:21,110 --> 00:25:27,670
+الآن مركبة ال VC1 باتجاه ال common normal ممكن
+
+308
+00:25:27,670 --> 00:25:33,970
+تكون تساويالاحتمالات تاعتها تكون تساوي او اكبر او
+
+309
+00:25:33,970 --> 00:25:39,690
+اقل من مركبة ال Vc2 في اتجاه ال common normal ناخد
+
+310
+00:25:39,690 --> 00:25:45,570
+الحالات التلاتة لو كانت ال Vc1 طبعا اذكر ان ال two
+
+311
+00:25:45,570 --> 00:25:49,650
+bodies are rigid bodies لو كانت مركبة ال Vc1 اللي
+
+312
+00:25:49,650 --> 00:25:56,090
+هي V .. لو كانت Vc1 Cos Alpha أكبر من Vc2 Cos Beta
+
+313
+00:25:56,090 --> 00:25:59,630
+هينغرز الجسم الأولاني في الجسم التاني وهذا مستحيل
+
+314
+00:26:01,560 --> 00:26:06,540
+حالة التانية أن يكون مركبة ال VC1 في اتجاه ال
+
+315
+00:26:06,540 --> 00:26:10,620
+common normal أقل من مركبة ال VC2 في اتجاه ال
+
+316
+00:26:10,620 --> 00:26:14,980
+common normal يعني VC1 cos α تكون أصغر من VC2 cos
+
+317
+00:26:14,980 --> 00:26:19,660
+β في الحالة هذه we lose contact هينفصل الجسمين عن
+
+318
+00:26:19,660 --> 00:26:23,410
+بعضمعناته .. برضه هذه الحالة ما تصبتش .. معناته
+
+319
+00:26:23,410 --> 00:26:28,450
+عشان أستمر بحالة التلامس الجسماني دائما يبقى في
+
+320
+00:26:28,450 --> 00:26:33,330
+حالة تلامس لازم مراكبة ال VC1 بتجاه ال common
+
+321
+00:26:33,330 --> 00:26:36,730
+normal تستوى مراكبة ال VC2 بتجاه ال common normal
+
+322
+00:26:36,730 --> 00:26:47,600
+يعني VC1 cos α لازم تستوى VC2 cos βالان VC1 احنا
+
+323
+00:26:47,600 --> 00:26:53,220
+حاكينا خلينا نعمل عمودي من O1 ع ال corner O1M هذا
+
+324
+00:26:53,220 --> 00:26:56,900
+عمودي ع ال common normal و عمودي من نقطة O2 ع ال
+
+325
+00:26:56,900 --> 00:27:03,000
+corner O2N معناة O2N عمودي ع ال common normal اذا
+
+326
+00:27:03,000 --> 00:27:08,810
+بتركز كويس هتلاحظ ان زاوية Alphaالفا بتساوي
+
+327
+00:27:08,810 --> 00:27:16,950
+الزاوية MO1C والزاوية بيتا بتساوي ال .. ال .. ال
+
+328
+00:27:16,950 --> 00:27:22,310
+.. الزاوية اللي هو NO2C
+
+329
+00:27:22,310 --> 00:27:28,850
+معناته هذه الزاوية بيتا طيب معناته حصيلة عن دي
+
+330
+00:27:28,850 --> 00:27:36,960
+احنا حكينا VC1VC1 Cos α بيساوة VC2 Cos β و VC1
+
+331
+00:27:36,960 --> 00:27:42,000
+بيساوة Omega 1 O1C و VC2 بيساوة Omega 2 O2C و Cos
+
+332
+00:27:42,000 --> 00:27:49,700
+α بيساوة O1M على O1C و Cos β O2N على O2Cبنعوض في
+
+333
+00:27:49,700 --> 00:27:54,440
+المعادلة الهدوى VC1 ل OMEGA 1 في O1C كسين ألف O1M
+
+334
+00:27:54,440 --> 00:28:01,740
+على O1C و في VC2 اللي هو OMEGA 2 OC2 في O2N على
+
+335
+00:28:01,740 --> 00:28:08,540
+O2C بنختصر O1C مع O1C و O2C مع O2C بنصفر عندي
+
+336
+00:28:08,540 --> 00:28:16,700
+OMEGA 1 في O1M يعني حسيني عندي OMEGA 1 على OMEGA 2
+
+337
+00:28:18,590 --> 00:28:28,810
+بالساوية O to N على O واحد M لان اذا باخد
+
+338
+00:28:28,810 --> 00:28:35,750
+المتلاتين المتلاتين نرجع للشكل المتلاتين اللي هو O
+
+339
+00:28:35,750 --> 00:28:40,050
+واحد M
+
+340
+00:28:40,050 --> 00:28:45,250
+C و O to N
+
+341
+00:28:49,260 --> 00:29:00,040
+C هكون عند او واحد M على او اتنين N لأ انا بدي اخد
+
+342
+00:29:00,040 --> 00:29:06,800
+المتلاتين مش هدول متلاتين خلنا نبسح هاخد
+
+343
+00:29:06,800 --> 00:29:10,220
+انا هوصل او واحد هوصل او واحد مع او اتنين بتقطع في
+
+344
+00:29:10,220 --> 00:29:22,910
+P هاخد المتلاتين او واحد M Pو O2N
+
+345
+00:29:22,910 --> 00:29:28,090
+P هاندي
+
+346
+00:29:28,090 --> 00:29:49,120
+O1M P و O2N P هكوندي O1M O1M على O2N بالساويةO1P
+
+347
+00:29:49,120 --> 00:29:58,420
+على O2P يعني احسس ان عندي Omega 1 على Omega 2
+
+348
+00:29:58,420 --> 00:30:04,700
+بالساوية O2P
+
+349
+00:30:04,700 --> 00:30:10,940
+على O1P معناته
+
+350
+00:30:10,940 --> 00:30:17,050
+ال law of gearingعشان تكون Omega 1 على Omega 2
+
+351
+00:30:17,050 --> 00:30:22,390
+ثابتة عشان تكون ثابتة
+
+352
+00:30:23,020 --> 00:30:29,100
+لازت يكون ال ratio O2P على O1P ثابتة مع العلم P هي
+
+353
+00:30:29,100 --> 00:30:35,500
+نقطة التقاطع الخط الواصل بين مركز دوران O1 و مركز
+
+354
+00:30:35,500 --> 00:30:39,120
+دوران O2 و ال common node at the point of contact
+
+355
+00:30:39,120 --> 00:30:42,000
+هذا يعني برضه عشان تكون أمجد واحد و أمجد اتنين
+
+356
+00:30:42,000 --> 00:30:46,640
+ثابتين أن النقطة P تكون fixed النقطة P هي اللي
+
+357
+00:30:46,640 --> 00:30:50,620
+بسميها ال pitch point النقطة P تكون fixed بسميها
+
+358
+00:30:50,620 --> 00:30:56,160
+ال pitch pointالان ال Velocity of sliding ال
+
+359
+00:30:56,160 --> 00:31:00,080
+Velocity of sliding along ال common tangent عندي
+
+360
+00:31:00,080 --> 00:31:11,700
+ال ال ال ال Vs هتكون هتكون VC1 Sin Alpha VC1 Sin
+
+361
+00:31:11,700 --> 00:31:19,880
+Alpha minus VC2 Sin Beta
+
+362
+00:31:25,710 --> 00:31:30,190
+طبعا احنا حكينا الـ sin α يعني هيكون VC1 اللي هي
+
+363
+00:31:30,190 --> 00:31:43,470
+omega 1 في O1C في sin α .. sin α اللي هي هتكون ..
+
+364
+00:31:43,470 --> 00:31:50,810
+sin α اللي هي هتكون MC على
+
+365
+00:31:50,810 --> 00:31:53,590
+O1C minus
+
+366
+00:31:55,290 --> 00:32:02,810
+VC2 اللي هي Omega 2 في O2C في Sine Beta نبتطلع من
+
+367
+00:32:02,810 --> 00:32:11,150
+الشكل Sine Beta بيستوي NC على
+
+368
+00:32:11,150 --> 00:32:19,330
+O2C يعني هنختصر O1C مع O1C O2C مع O2C بالصفر Omega
+
+369
+00:32:19,330 --> 00:32:21,310
+1MC
+
+370
+00:32:22,400 --> 00:32:30,360
+مينوس أميجا اتنين NC حيث ساوي اللحظة MC ممكن
+
+371
+00:32:30,360 --> 00:32:36,860
+اعتبرها عبارة عن two segments الان
+
+372
+00:32:36,860 --> 00:32:40,620
+ال
+
+373
+00:32:40,620 --> 00:32:44,340
+MC ال
+
+374
+00:32:44,340 --> 00:32:49,200
+V sliding بتساوي
+
+375
+00:32:50,590 --> 00:32:59,330
+اميجا واحد MC مينوس اوميجا اتنين في NC بحيث تسوى
+
+376
+00:32:59,330 --> 00:33:04,670
+اوميجا واحد ال MC هيتطلعوا على الشكل ال MC بيسوى
+
+377
+00:33:04,670 --> 00:33:15,920
+MP زائد PC MP زائد PC مينوس اوميجا اتنين ال NCالـ
+
+378
+00:33:15,920 --> 00:33:27,940
+NC عبارة عن NP minus ال NC ال NP minus ال NC يعني
+
+379
+00:33:27,940 --> 00:33:38,860
+هتكون Omega 1 في ال NP minus Omega 2 في ال NP زائد
+
+380
+00:33:38,860 --> 00:33:43,300
+PC مشترك
+
+381
+00:33:45,070 --> 00:33:51,110
+أنا غلطان هنا دي ال .. ال .. ال .. ال .. ال N P
+
+382
+00:33:51,110 --> 00:33:56,550
+minus ال P C minus
+
+383
+00:33:56,550 --> 00:34:05,110
+ال P C P C في Omega واحد زاد Omega اتنين لاحظوا أن
+
+384
+00:34:05,110 --> 00:34:11,110
+تشابه المثلثات O واحد M P و O اتنين M P بيكون عندى
+
+385
+00:34:11,110 --> 00:34:19,560
+اللي هوأمجا واحد على أمجا اتنين بالساوية أمجا واحد
+
+386
+00:34:19,560 --> 00:34:23,880
+على أمجا اتنين بالساوية اتنين على ا ا واحد ام على
+
+387
+00:34:23,880 --> 00:34:27,180
+ا اتنين ان بالساوية ا واحد بي على ا اتنين بي
+
+388
+00:34:27,180 --> 00:34:37,160
+بالساوية ام بي على ان بي معناته هذا هيكون الساوية
+
+389
+00:34:37,160 --> 00:34:47,150
+ان بي على ام بي معناته عند امجا واحدNB بيساوي
+
+390
+00:34:47,150 --> 00:34:52,490
+Omega 2 NB معناته هدول أشمالهم ال two terms
+
+391
+00:34:52,490 --> 00:34:57,030
+بيروحوا مع بعض معناته ال sliding velocity VS هتكون
+
+392
+00:34:57,030 --> 00:35:11,070
+PC في Omega 1 زائد Omega 2 معناته
+
+393
+00:35:11,070 --> 00:35:15,550
+ال sliding velocityسرعة النزلات بين الـ two bodies
+
+394
+00:35:15,550 --> 00:35:20,210
+at the point of contact بتعتمد على بعد ال pitch
+
+395
+00:35:20,210 --> 00:35:24,090
+point على ال contact point إذا كانت ال pitch point
+
+396
+00:35:24,090 --> 00:35:27,830
+مطابقة مع ال contact point بيكون فيكونش عنده
+
+397
+00:35:27,830 --> 00:35:31,970
+sliding, no sliding فكل ما بعدت نقطة ال pitch
+
+398
+00:35:31,970 --> 00:35:34,250
+point على ال contact point كل ما زاد ال sliding
+
+399
+00:35:34,250 --> 00:35:35,510
+between the two bodies
+
+400
+00:35:42,430 --> 00:35:46,630
+ليه هذه العلاقة؟ vs بيساو أمج واحد زي أمج اتنين في
+
+401
+00:35:46,630 --> 00:35:56,970
+Pc الآن
+
+402
+00:35:56,970 --> 00:36:05,780
+شكل السن ممكن يكون أي شكلطالما أنه يحقق ال law of
+
+403
+00:36:05,780 --> 00:36:10,060
+gearing اللي ذكرناها سابقاً شكل السن ال profile
+
+404
+00:36:10,060 --> 00:36:15,760
+بتاع السن ممكن يكون أي شكل طالما أنه بيحقق ال law
+
+405
+00:36:15,760 --> 00:36:20,440
+of gearing احنا هندرس اللي هو حالة خاصة اللي هي
+
+406
+00:36:20,440 --> 00:36:25,830
+الأكتر شيوعا اللي هي ال invalid teeth forminvolute
+
+407
+00:36:25,830 --> 00:36:29,710
+of a circle ان انا بكون يعني بكون عندي دائرة
+
+408
+00:36:29,710 --> 00:36:35,550
+بسميها ال base circle بكون لافي في حواليها حبل
+
+409
+00:36:35,550 --> 00:36:40,370
+بكون لافي في حواليها حبل بكون في قلم في طرف الحبل
+
+410
+00:36:40,370 --> 00:36:45,710
+بكون ارفع الحبل و هو مجدود برفع الحبل و هو مجدود
+
+411
+00:36:45,710 --> 00:36:48,050
+يعني انا اتطلع عندي هذه النقطة و هذه النقطة انا
+
+412
+00:36:48,050 --> 00:36:54,140
+بدأت بدأت من النقطة من نقطة معينةبكون أبدأ أرفع
+
+413
+00:36:54,140 --> 00:36:58,640
+الحبل و أرسم بحصل على شكل معين بسميه ال value أو
+
+414
+00:36:58,640 --> 00:37:02,140
+بحط مصطرة .. مصطرة بتكون tangent مثلا .. tangent
+
+415
+00:37:02,140 --> 00:37:05,360
+بحط قلم على طرفها بتضلها .. بخليها .. أدهرجها على
+
+416
+00:37:05,360 --> 00:37:08,420
+.. على الدائرة بدهرجها على الدائرة و هي الدهرج
+
+417
+00:37:08,420 --> 00:37:13,160
+بتكون ترسم له شكل معينالشكل هذا بسميه involute،
+
+418
+00:37:13,160 --> 00:37:16,840
+يعني إما أكون عندي خيط مشدود حوالي الدائرة و بطرف
+
+419
+00:37:16,840 --> 00:37:21,040
+القلم ببدأ أرخي while .. while .. و ببدأ أرخي و
+
+420
+00:37:21,040 --> 00:37:25,220
+أنا الحبل مشدود و مماس للدائرة و أرسم يعني زي أنا
+
+421
+00:37:25,220 --> 00:37:31,190
+بدأت من النقطة هذه بدأت أرخي أرخي أرخيو أرسم يعني
+
+422
+00:37:31,190 --> 00:37:35,190
+عندي هذه الحبل كان في اللحظة هذه كان بدأت منها من
+
+423
+00:37:35,190 --> 00:37:39,530
+صفر بدأت أرخي هذه وصلت نقطة بي واحد بدأت أرخ أكتر
+
+424
+00:37:39,530 --> 00:37:43,050
+و أنا ماشي في القلم بأرسم وصلت نقطة بي اتنين بدأت
+
+425
+00:37:43,050 --> 00:37:47,130
+أرخي و أنا شادد وصلت نقطة بي تلاتة بي أربع بي خمسة
+
+426
+00:37:47,130 --> 00:37:52,790
+الآن التتبع هذا هذا ال curve بسميه involute of a
+
+427
+00:37:52,790 --> 00:37:55,150
+circle involute of a circle
+
+428
+00:38:00,220 --> 00:38:06,940
+انبين عندى هنا ترسين هذا ال pressure line هذا الخط
+
+429
+00:38:06,940 --> 00:38:12,260
+اللى هو خط الدفع خط الدفع اللى أسنان عنده ده هو ال
+
+430
+00:38:12,260 --> 00:38:16,000
+driver بدفع along this line هذا بسمع الشمال ال
+
+431
+00:38:16,000 --> 00:38:18,060
+driver و هذا ال driven
+
+432
+00:38:22,440 --> 00:38:25,660
+أزاى ما انتوا شايفين نرجع للـ Geometer للإسنان أنا
+
+433
+00:38:25,660 --> 00:38:28,280
+عندى الدائرة الخارجية .. هذا ال .. طبعا ال driver
+
+434
+00:38:28,280 --> 00:38:32,000
+بسميه penion و ال driven بسميه gear يعني ال penion
+
+435
+00:38:32,000 --> 00:38:34,940
+and gear يعني ال driver هو ال penion عادة .. عادة
+
+436
+00:38:34,940 --> 00:38:39,060
+ال penion بيكون حجمه أصغر من حجم ال gear هذه ال ..
+
+437
+00:38:39,060 --> 00:38:42,460
+ال .. ال .. ال .. ال outside diameter او ال .. او
+
+438
+00:38:42,460 --> 00:38:47,850
+ال addendum circle لل .. لل penion هذهال outside
+
+439
+00:38:47,850 --> 00:38:52,790
+diameter او ال addendum circle للجير هذه ال root
+
+440
+00:38:52,790 --> 00:38:58,130
+circle او addendum circle لل panion هذه ال root
+
+441
+00:38:58,130 --> 00:39:05,310
+circle او addendum circle للجيرهذه هو ال base
+
+442
+00:39:05,310 --> 00:39:08,150
+circle هي ال circle from which we generate ال
+
+443
+00:39:08,150 --> 00:39:12,010
+involute ال circle اللي ولدنا منها شكل ال involute
+
+444
+00:39:12,010 --> 00:39:17,270
+هذا line of action خط عمل الدفع line of action و
+
+445
+00:39:17,270 --> 00:39:21,850
+هذه الزاوية بسميها pressure angle تقاطع الخط
+
+446
+00:39:21,850 --> 00:39:26,690
+الواصل بين مركز ال pinion و مركز ال gear مع الخط
+
+447
+00:39:26,690 --> 00:39:31,170
+اللي عند ال pitch point بسميها نقطة pitch point
+
+448
+00:39:34,980 --> 00:39:40,740
+طبعا هذا ال radius لل base circle هذا ال radius لل
+
+449
+00:39:40,740 --> 00:39:44,740
+pitch circle هذا ال radius لل outside diameter
+
+450
+00:39:47,970 --> 00:39:51,170
+اللاحظوا في عند هين .. طلعوا هين في فراغ بين ال
+
+451
+00:39:51,170 --> 00:39:54,330
+opinion في .. يعني في .. بيكونش .. يعني نازل الأخر
+
+452
+00:39:54,330 --> 00:39:58,970
+بسميه ال clearance ال clearance ال working depth
+
+453
+00:39:58,970 --> 00:40:05,310
+هو مجموع ال addendum ال
+
+454
+00:40:05,310 --> 00:40:08,990
+.. ال total depth .. depth اللي هو مجموع ال ..
+
+455
+00:40:08,990 --> 00:40:11,330
+اللي هو .. هذا هو ال working depth .. هذا هو ال
+
+456
+00:40:11,330 --> 00:40:15,680
+working depthال total depth هو عمق السن الكل من ال
+
+457
+00:40:15,680 --> 00:40:20,740
+route .. من ال route لل .. لل outside ده متر ال
+
+458
+00:40:20,740 --> 00:40:23,580
+total depth احنا عارفين انها بالساوية اللي هو ال
+
+459
+00:40:23,580 --> 00:40:27,980
+addendum زاد addendum ال working depth هو مجموع ال
+
+460
+00:40:27,980 --> 00:40:32,480
+addendum لل pinion زاد ال addendum لل .. لل .. لل
+
+461
+00:40:32,480 --> 00:40:37,830
+gearطبعا هذا ال base radius للجير، هذا ال pitch
+
+462
+00:40:37,830 --> 00:40:42,910
+radius للجير، هذا ال outside radius للجير، هذا
+
+463
+00:40:42,910 --> 00:40:47,910
+يسمى ال top land، هذا ال involute profile، و في
+
+464
+00:40:47,910 --> 00:40:51,670
+عندى بتكون هنا و هنا في زى دوران خفيف يسمى ال
+
+465
+00:40:51,670 --> 00:40:55,650
+fillet، ال fillet بتكون عاملة اللى هي دوران بين ال
+
+466
+00:40:55,650 --> 00:40:59,150
+root circle أو ال dendrum circle و ال involute
+
+467
+00:40:59,150 --> 00:41:03,270
+profileهذا الكلام حكيناه بس انا حابب أعيده عشان
+
+468
+00:41:03,270 --> 00:41:10,030
+انرسخ المعلومة الان
+
+469
+00:41:10,030 --> 00:41:16,630
+انا عندي ترسين ترس مركز دورانه O1 they are in mesh
+
+470
+00:41:16,630 --> 00:41:20,990
+و الترس التاني ال driven اللي هو الجير مركز دورانه
+
+471
+00:41:20,990 --> 00:41:26,050
+عند O2 الخط الواصل بين A1 و A2 بسميه ال center
+
+472
+00:41:26,050 --> 00:41:30,400
+distanceالنقطة الطبيعية الآن هاد ال base circle
+
+473
+00:41:30,400 --> 00:41:34,540
+هاد ال base circle لل driver هاد ال base circle لل
+
+474
+00:41:34,540 --> 00:41:37,980
+driven الخط ال tangent between the two base
+
+475
+00:41:37,980 --> 00:41:43,600
+circles بسميه line of action الزاوية هاد بسميها ال
+
+476
+00:41:43,600 --> 00:41:48,220
+pressure angle زاوية الضغط الآن ال force اللي
+
+477
+00:41:48,220 --> 00:41:55,280
+بتأثر بين الأسنان اللي صار تعشيق بينهم اللي هي F
+
+478
+00:41:55,990 --> 00:42:00,950
+الها مركبتين واحدة بتجاه F tangential واحدة بتجاه
+
+479
+00:42:00,950 --> 00:42:04,770
+ال vertical F radial يعني ال total force اللي هي
+
+480
+00:42:04,770 --> 00:42:08,850
+بتأثر بتجاه line of action الها مركبتين واحدة
+
+481
+00:42:08,850 --> 00:42:12,470
+tangential component يعني ال pitch circle واحدة
+
+482
+00:42:12,470 --> 00:42:14,990
+radial بتجاه مركز الترس
+
+483
+00:42:18,220 --> 00:42:22,300
+الـ torque العزم .. العزم هيكون يساوي ال
+
+484
+00:42:22,300 --> 00:42:25,740
+tangential force في نص القطر F tangential في نص
+
+485
+00:42:25,740 --> 00:42:30,480
+القطر F tangential بيساوي F cosine في و F radial
+
+486
+00:42:30,480 --> 00:42:39,940
+بيساوي F sin في طيب
+
+487
+00:42:39,940 --> 00:42:45,880
+ال systems of gear teeth أنظمة الأسنان في الاتروس
+
+488
+00:42:46,920 --> 00:42:50,520
+احنا هندرس الآن في ال course هذا four systems of
+
+489
+00:42:50,520 --> 00:42:53,240
+gear teeth are in common practice في اللي هو اللي
+
+490
+00:42:53,240 --> 00:42:57,640
+في الممارسة الهندسية العملية في عندي أربع أنظم
+
+491
+00:42:57,640 --> 00:43:00,920
+للأسنان للأسنان في عندي الأربع تاشر و نص composite
+
+492
+00:43:00,920 --> 00:43:03,460
+system أربع تاشر و نص degree اللي لما بيحكي أربع
+
+493
+00:43:03,460 --> 00:43:06,060
+تاشر و نص يعني بيحكي على pressure angle Phi في
+
+494
+00:43:06,060 --> 00:43:10,050
+عندي أربع تاشر و نص full depth involute systemفي
+
+495
+00:43:10,050 --> 00:43:13,210
+عندي عشرين ديجري fold-depth envelope system وفي
+
+496
+00:43:13,210 --> 00:43:16,910
+عشرين ديجري stop envelope system stop envelope
+
+497
+00:43:16,910 --> 00:43:21,650
+يعني السن بيكون قصير سن الترس بيكون قصير ال
+
+498
+00:43:21,650 --> 00:43:26,290
+pressure أنا جالة عشرين الجدول اللي مبين أمامي
+
+499
+00:43:26,290 --> 00:43:29,390
+مبين اللي هو أنظمة اللي هي أربعاش و نص composite
+
+500
+00:43:29,390 --> 00:43:33,490
+or fold-depth والعشرين ديجري fold-depth والعشرين
+
+501
+00:43:33,490 --> 00:43:38,140
+ديجري stopأمارجيني قيم الـ addendum و ال dedendum
+
+502
+00:43:38,140 --> 00:43:40,920
+و ال working depth و ال minimum total depth و ال
+
+503
+00:43:40,920 --> 00:43:43,080
+tooth thickness و ال minimum clearance و ال fillet
+
+504
+00:43:43,080 --> 00:43:47,080
+radius at the root as a function of module يعني في
+
+505
+00:43:47,080 --> 00:43:50,160
+حالة في حالة اربع تاشر و نص composite or full
+
+506
+00:43:50,160 --> 00:43:54,780
+depth tooth ال addendum بيساو واحد في الموديول ال
+
+507
+00:43:54,780 --> 00:43:57,740
+dedendum بيساو واحد و ربع في الموديول ال working
+
+508
+00:43:57,740 --> 00:44:02,530
+depthبساوي اللي هي اتنين في الموديول ال total
+
+509
+00:44:02,530 --> 00:44:05,450
+depth اللي هو عبارة عن addendum زاد addendum واحد
+
+510
+00:44:05,450 --> 00:44:09,330
+زاد واحد وربع اللي هي اتنين وربع في الموديول ال
+
+511
+00:44:09,330 --> 00:44:13,970
+tooth thickness بساوية point خمس سبعة او تمانية في
+
+512
+00:44:13,970 --> 00:44:18,110
+الموديول ال minimum clearance ربع الموديول ال
+
+513
+00:44:18,110 --> 00:44:21,170
+fillet radius of the root بساوية point four في
+
+514
+00:44:21,170 --> 00:44:25,390
+الموديول طيب
+
+515
+00:44:25,390 --> 00:44:27,470
+انحل ال example
+
+516
+00:44:46,850 --> 00:44:53,290
+نقرأ السؤال a single reduction gear of 120
+
+517
+00:44:53,290 --> 00:44:58,990
+kilowatt ال power عندي يعني ال power بيساوة 120
+
+518
+00:44:58,990 --> 00:45:03,390
+كيلو وات with
+
+519
+00:45:03,390 --> 00:45:07,650
+a pinion ال pinion بتاع 250 ميلي متر pitch circuit
+
+520
+00:45:07,650 --> 00:45:13,170
+diameter هاي ال pinion وهاي
+
+521
+00:45:13,170 --> 00:45:13,550
+ال gear
+
+522
+00:45:19,280 --> 00:45:25,860
+هداش الـ gear وده
+
+523
+00:45:25,860 --> 00:45:30,820
+pinion ال pitch circle ده متر لل pinion دي لل
+
+524
+00:45:30,820 --> 00:45:36,500
+pinion بسوا متين و خمسين ملي متر قطر ال pitch
+
+525
+00:45:36,500 --> 00:45:41,420
+circle لل pinion متين و خمسين ملي متر و ال speed
+
+526
+00:45:41,420 --> 00:45:45,240
+بتاعة ال pinion ال N
+
+527
+00:45:48,530 --> 00:45:57,250
+ست مية و خمسين ر بي ام ست مية و خمسين ر بي ام
+
+528
+00:45:57,250 --> 00:46:03,570
+ال support on bearings on either side calculate
+
+529
+00:46:03,570 --> 00:46:06,910
+the total load due to the power it transmitted
+
+530
+00:46:06,910 --> 00:46:13,390
+الان طبعا هكون عندي هاي ال total load
+
+531
+00:46:17,150 --> 00:46:25,030
+F و هدا هتكون ال pressure angle فيه هكون لها
+
+532
+00:46:25,030 --> 00:46:35,590
+مركبتين F tangential و F radial ال F tangential
+
+533
+00:46:35,590 --> 00:46:39,450
+بيستوى
+
+534
+00:46:39,450 --> 00:46:44,410
+F cosine فيه
+
+535
+00:46:46,610 --> 00:46:51,530
+الـ Phi معطنية هو بمناسبة الـ Phi بستوى عشرين درجة
+
+536
+00:46:51,530 --> 00:46:55,950
+ال
+
+537
+00:46:55,950 --> 00:47:00,110
+.. ال .. ال torque بستوى
+
+538
+00:47:00,110 --> 00:47:07,050
+F tangential في ال radius و
+
+539
+00:47:07,050 --> 00:47:12,010
+ال power بستوى ال torque في Omega
+
+540
+00:47:15,670 --> 00:47:20,710
+انعوض يعني ال power يعني ال torque هيكون الساوى ال
+
+541
+00:47:20,710 --> 00:47:26,690
+power عندى مائة و عشرين في الف على اوميجا اوميجا
+
+542
+00:47:26,690 --> 00:47:30,910
+خليني احسبه على جنب يعني اوميجا بالساوى ستمية و
+
+543
+00:47:30,910 --> 00:47:34,870
+خمسين بدى احوالي ال radius per second في اتنين باي
+
+544
+00:47:34,870 --> 00:47:36,690
+على ستين
+
+545
+00:48:06,370 --> 00:48:11,850
+وبتطلع تمانية و ستين point
+
+546
+00:48:11,850 --> 00:48:19,430
+o تلاتة radians per second هي دي ال omega يعني انا
+
+547
+00:48:19,430 --> 00:48:24,830
+هقسم هنا على تمانية و ستين point o تلاتة يعني ال
+
+548
+00:48:24,830 --> 00:48:28,750
+torque هيطلع مية و عشرين
+
+549
+00:48:35,420 --> 00:48:39,220
+فى الف تقسيم
+
+550
+00:48:39,220 --> 00:48:47,860
+تمانية و ستين point او تلاتة بتطلع الف و سبعمية و
+
+551
+00:48:47,860 --> 00:48:56,760
+اربعة و ستين نيوتن متر حكينا ال torque بالساوية F
+
+552
+00:48:56,760 --> 00:48:58,260
+tangential فى R
+
+553
+00:49:04,480 --> 00:49:07,980
+هي عن ال after engine shell هتكون تستوى ال torque
+
+554
+00:49:07,980 --> 00:49:10,980
+على ال radius ال torque اللي هو الف و سبعمية و
+
+555
+00:49:10,980 --> 00:49:14,220
+أربعة و ستين ال radius أنا عندي القطر معطنية
+
+556
+00:49:14,220 --> 00:49:16,220
+مائتين و خمسين معناته ال radius بيها خمسة و عشرين
+
+557
+00:49:16,220 --> 00:49:24,400
+على point واحد اتنين خمسة تقسيم
+
+558
+00:49:24,400 --> 00:49:28,680
+تطلع
+
+559
+00:49:28,680 --> 00:49:30,880
+الف و أربعمية اربعتاشر الف
+
+560
+00:49:34,270 --> 00:49:39,810
+فى نيوتن الـ
+
+561
+00:49:39,810 --> 00:49:48,110
+FT هذه بيستوى F Cos فى فى فى فى فى فى فى فى فى فى
+
+562
+00:49:48,110 --> 00:49:48,930
+فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى
+
+563
+00:49:48,930 --> 00:49:49,390
+فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى
+
+564
+00:49:49,390 --> 00:49:52,490
+فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى
+
+565
+00:49:52,490 --> 00:49:52,490
+فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى
+
+566
+00:49:52,490 --> 00:49:52,490
+فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى فى
+
+567
+00:49:52,490 --> 00:49:55,230
+فى فى فى فى فى فى فى فى ف
+
+568
+00:50:19,340 --> 00:50:24,540
+بتطلع خمستاشر الف و سبعتاشر .. خمستاشر الف و
+
+569
+00:50:24,540 --> 00:50:28,460
+سبعتاشر نيوتن ..معناته ال total load اللي هو F
+
+570
+00:50:28,460 --> 00:50:32,540
+بالساوية خمستاشر الف و سبعتاشر نيوتن ..يعني حوالي
+
+571
+00:50:32,540 --> 00:50:36,200
+خمستاشر كيلو نيوتن ..هكذا يكون أنهينا المحاضرة
+
+572
+00:50:36,200 --> 00:50:39,680
+الأولى في مادة نظرية الألات ..المرة الجاية بنكمل
+
+573
+00:50:39,680 --> 00:50:41,580
+في المحاضرة التانية ..عطيكوا العفو
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/3gkJa1Esvng.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/3gkJa1Esvng.srt
new file mode 100644
index 0000000000000000000000000000000000000000..6b59a040d37c344ddaabe2ea39ff9e896c05dc92
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/3gkJa1Esvng.srt
@@ -0,0 +1,392 @@
+1
+00:00:04,890 --> 00:00:07,630
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,630 --> 00:00:10,930
+وبركاته اليوم هنكمل المحاضرة الخامسة في الـ chapter
+
+3
+00:00:10,930 --> 00:00:14,530
+gears. المرة الفاتحة  تكلمنا عن حساب الـ minimum number
+
+4
+00:00:14,530 --> 00:00:17,010
+of teeth to avoid interference between two mating
+
+5
+00:00:17,010 --> 00:00:22,390
+gears.  المرة دي هنتكلم عن الـ minimum
+
+6
+00:00:22,390 --> 00:00:25,130
+number of teeth on... in order to avoid
+
+7
+00:00:25,130 --> 00:00:29,810
+interference between pinion and rack اللي هو الـ
+
+8
+00:00:29,810 --> 00:00:36,170
+rack. في هذه الحالة، المعادلة تُعطى الـ NP
+
+9
+00:00:36,170 --> 00:00:40,870
+بـساوية 2K على sin²φ. فيه الـ minimum number
+
+10
+00:00:40,870 --> 00:00:45,770
+of teeth on a pinion for involute rack to avoid
+
+11
+00:00:45,770 --> 00:00:48,690
+interference. مُعطاة بالعلاقة NP = 2K على
+
+12
+00:00:48,690 --> 00:00:57,890
+sin²φ. خلّينا نحل example pinion
+
+13
+00:00:57,890 --> 00:01:05,460
+of a twenty involute teeth and a pinion. عدد أسنان الـ pinion
+
+14
+00:01:05,460 --> 00:01:13,180
+عشرين سنًا، and
+
+15
+00:01:13,180 --> 00:01:21,000
+و الـ pitch circle بتاعته قطرها اللي هي D = 125
+
+16
+00:01:21,000 --> 00:01:27,900
+مليمتر. it
+
+17
+00:01:27,900 --> 00:01:32,590
+drives a rack. The addendum of both pinion and rack is 6
+
+18
+00:01:32,590 --> 00:01:38,930
+.25 مليمتر.
+
+19
+00:01:38,930 --> 00:01:42,910
+What is
+
+20
+00:01:42,910 --> 00:01:45,910
+the least pressure angle which can be used to
+
+21
+00:01:45,910 --> 00:01:50,750
+avoid interference? إيش أقل زاوية للـ pressure angle
+
+22
+00:01:50,750 --> 00:01:53,170
+عشان نتجنب الـ interference؟ احنا هنرجع
+
+23
+00:01:53,170 --> 00:01:57,850
+للمعادلة. NP =
+
+24
+00:01:57,850 --> 00:01:58,610
+2K
+
+25
+00:02:04,180 --> 00:02:15,100
+على sin²φ. معناته sin²φ هتكون = 2K على
+
+26
+00:02:15,100 --> 00:02:21,140
+NP. يعني هتكون = 2 × 1 على عدد الـ ... الـ ... الـ
+
+27
+00:02:21,140 --> 00:02:26,780
+... أسنان الـ pinion اللي هو عشرين. يعني 1 على
+
+28
+00:02:26,780 --> 00:02:32,280
+عشرة. ومنها نحسب الـ sin φ. ومنها نحسب الـ φ يعني
+
+29
+00:02:32,280 --> 00:02:39,300
+الـ φ هتكون
+
+30
+00:02:39,300 --> 00:02:43,420
+square
+
+31
+00:02:43,420 --> 00:02:49,460
+root لـ 0.1. بيطلع
+
+32
+00:02:49,460 --> 00:02:58,450
+اللي هو sin φ = 0.3162. نحسب
+
+33
+00:02:58,450 --> 00:03:05,550
+sin⁻¹ لـ 0.3162. بيطلع تقريبًا 18
+
+34
+00:03:05,550 --> 00:03:17,690
+.433°. تقريبًا 18.433° تقريبًا 18.433° تقريبًا 18.433°
+
+35
+00:03:17,690 --> 00:03:20,950
+تقريبًا 18.433° تقريبًا 18.433° تقريبًا 18.433° تقريبًا
+
+36
+00:03:20,950 --> 00:03:22,830
+18.433° تقريبًا 18.433° تقريبًا 18.433° تقريبًا
+
+37
+00:03:22,830 --> 00:03:29,430
+18.433° تقريبًا 18.433° تقريبًا 18.433° تقريبًا 18.433°
+
+38
+00:03:29,430 --> 00:03:29,850
+تقريبًا 18.433° تقريبًا 18.433° تقريبًا 18.433° تقريبًا
+
+39
+00:03:29,850 --> 00:03:32,750
+تقريبًا 18.433° تقريبًا 18.433° تقريبًا 18.433° تقريبًا
+
+40
+00:03:32,750 --> 00:03:39,770
+18.433° تقريبًا 18
+
+41
+00:03:39,770 --> 00:04:47,300
+.433° تقريبًا 18.433° تقريبًا. Find the length of the arc
+
+42
+00:03:47,300 --> 00:03:54,740
+of contact and
+
+43
+00:03:54,740 --> 00:04:00,500
+the
+
+44
+00:04:00,500 --> 00:04:03,720
+minimum number of teeth in contact at a time.
+
+45
+00:04:03,720 --> 00:04:06,960
+Contact ratio يعني
+
+46
+00:04:13,630 --> 00:04:17,070
+الـ ... الـ ... الـ ... لو هنرجع للشكل اللي عندي هنا
+
+47
+00:04:17,070 --> 00:04:24,870
+الشكل
+
+48
+00:04:24,870 --> 00:04:30,610
+اللي أنا هيكون عندي هنا الـ ... الـ ... الـ ... هاي الـ
+
+49
+00:04:30,610 --> 00:04:33,470
+pitch circle بتاع الـ ... الـ pinion
+
+50
+00:04:37,340 --> 00:04:41,600
+الـ length of path of contact اللي هو هيكون K × L
+
+51
+00:04:41,600 --> 00:04:46,820
+الـ length of path of contact اللي هو K × L. K × L
+
+52
+00:04:46,820 --> 00:04:50,120
+K
+
+53
+00:04:50,120 --> 00:04:55,760
+× L. هيكون عند الـ الـ
+
+54
+00:04:55,760 --> 00:05:00,420
+length of path of contact. الـ length path of
+
+55
+00:05:00,420 --> 00:05:11,080
+contact = KL. من المثلث OLK. المثلث
+
+56
+00:05:11,080 --> 00:05:15,760
+OLK.
+
+57
+00:05:15,760 --> 00:05:21,740
+الـ KL هيكون
+
+58
+00:05:21,740 --> 00:05:31,580
+الجذر التربيعي لـ OK² - OL². هيكون الجذر التربيعي لـ
+
+59
+00:05:31,580 --> 00:05:43,140
+OK² - OL². الـ
+
+60
+00:05:43,140 --> 00:05:47,920
+OK. الـ
+
+61
+00:05:47,920 --> 00:05:51,620
+OK هو
+
+62
+00:05:51,620 --> 00:06:00,000
+الـ R بتاعت الـ addendum تربيع. والـ OL
+
+63
+00:06:04,400 --> 00:06:09,060
+الـ OL اللي
+
+64
+00:06:09,060 --> 00:06:14,380
+هو الـ base circle اللي هو R cos
+
+65
+00:06:14,380 --> 00:06:18,580
+φ.
+
+66
+00:06:18,580 --> 00:06:25,100
+الـ
+
+67
+00:06:25,100 --> 00:06:35,570
+R اللي هي 125/2 اللي هي 62.5 مليمتر. و الـ RA هتكون
+
+68
+00:06:35,570 --> 00:06:40,930
+الـ R + الـ A.  اللي هي 62.5 + 6.25
+
+69
+00:06:40,930 --> 00:06:45,890
+يعني هيكون 62.5 + 6.25 =
+
+70
+00:06:45,890 --> 00:06:51,070
+68.75 مليمتر. يعني هيكون عندي هنا جذر التربيعي لـ 68
+
+71
+00:06:51,070 --> 00:06:58,610
+.75² - 62.5² cos²φ.
+
+72
+00:06:58,610 --> 00:07:06,070
+- 62.5² cos² 18.433°.
+
+73
+00:07:06,070 --> 00:07:14,390
+بيساوي 32.78
+
+74
+00:07:14,390 --> 00:07:17,810
+مليمتر. هي 32.78
+
+75
+00:07:42,960 --> 00:07:47,920
+بيطلع 32.78
+
+76
+00:07:47,920 --> 00:07:54,980
+مليمتر. الـ
+
+77
+00:07:54,980 --> 00:08:00,480
+length of arc of contact هو length of path of
+
+78
+00:08:00,480 --> 00:08:05,260
+contact / cos φ. يعني 32.78
+
+79
+00:08:05,260 --> 00:08:11,530
+على cos 18.433°.
+
+80
+00:08:11,530 --> 00:08:19,510
+يعني هتكون ... بيطلع
+
+81
+00:08:19,510 --> 00:08:25,310
+34.55 مليمتر. هذا الـ
+
+82
+00:08:25,310 --> 00:08:32,950
+length of arc of contact. الـ contact ratio بيساوي
+
+83
+00:08:34,740 --> 00:08:38,540
+الـ length of arc of contact على الـ p.c. يعني بيساوي
+
+84
+00:08:38,540 --> 00:08:42,020
+الـ length of arc of contact على π × module
+
+85
+00:08:42,020 --> 00:08:49,960
+عندي
+
+86
+00:08:49,960 --> 00:08:52,700
+اللي هو الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+87
+00:08:52,700 --> 00:08:54,280
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+88
+00:08:54,280 --> 00:08:55,660
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+89
+00:08:55,660 --> 00:08:55,720
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+90
+00:08:55,720 --> 00:08:56,020
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+91
+00:08:56,020 --> 00:08:56,300
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+92
+00:09:02,950 --> 00:09:09,130
+على عدد الأسنان اللي هي عشرين. 125
+
+93
+00:09:09,130 --> 00:09:18,110
+تقسيم 20 بيطلع 6.25. معناه
+
+94
+00:09:18,110 --> 00:09:21,310
+يكون الـ contact ratio هتكون = 34.55
+
+95
+00:09:21,310 --> 00:09:25,290
+على 3.14 × 6.25 اللي هي
+
+96
+00:09:25,290 --> 00:09:27,370
+π × 6.25
+
+97
+00:09:39,840 --> 00:09:52,300
+بيطلع 1.76. هيك
+
+98
+00:09:52,300 --> 00:09:53,840
+يكون خلصنا الـ chapter.
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/3gkJa1Esvng_postprocess.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/3gkJa1Esvng_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..f6e20bb937aedcaaf7a0d3ba7e4cfbac3d5f096f
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/3gkJa1Esvng_postprocess.srt
@@ -0,0 +1,392 @@
+1
+00:00:04,890 --> 00:00:07,630
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,630 --> 00:00:10,930
+وبركاته اليوم هنكمل المحاضرة الخامسة في chapter ال
+
+3
+00:00:10,930 --> 00:00:14,530
+gears المرة الفاتحة هنا عن حساب ال minimum number
+
+4
+00:00:14,530 --> 00:00:17,010
+of teeth to avoid interference between two mating
+
+5
+00:00:17,010 --> 00:00:22,390
+gears opinion and gear المرة هتحدث ال minimum
+
+6
+00:00:22,390 --> 00:00:25,130
+number of teeth on .. in order to avoid
+
+7
+00:00:25,130 --> 00:00:29,810
+interference between opinion and rack اللي هو ال
+
+8
+00:00:29,810 --> 00:00:36,170
+rack ترسدلهفي الحالة هذه المعادلة تُعطى الـ NP
+
+9
+00:00:36,170 --> 00:00:40,870
+بسوء اتنين K على صين سكوير فيه الـ minimum number
+
+10
+00:00:40,870 --> 00:00:45,770
+of teeth on a pinion for involute rack to avoid
+
+11
+00:00:45,770 --> 00:00:48,690
+interference مُعطُو الإعلاق NP بسوء اتنين K في
+
+12
+00:00:48,690 --> 00:00:57,890
+الصين على صين سكوير فيه خلّينا نحل example opinion
+
+13
+00:00:57,890 --> 00:01:05,460
+of a twenty involute teethand a pinion عدس nano T
+
+14
+00:01:05,460 --> 00:01:13,180
+تاعت ال pinion عشرين سن and
+
+15
+00:01:13,180 --> 00:01:21,000
+و ال pitch circle بتاعته قطرها اللي هي D مية و
+
+16
+00:01:21,000 --> 00:01:27,900
+خمسة و عشرين ميلي متر it
+
+17
+00:01:27,900 --> 00:01:32,590
+drives a rackthe addendum of both pen and rag is 6
+
+18
+00:01:32,590 --> 00:01:38,930
+.25 مليمتر
+
+19
+00:01:38,930 --> 00:01:42,910
+what is
+
+20
+00:01:42,910 --> 00:01:45,910
+the least pressure angle which can be used to
+
+21
+00:01:45,910 --> 00:01:50,750
+avoid interference ايش اقل زاوية لل pressure angle
+
+22
+00:01:50,750 --> 00:01:53,170
+عشان اتجنب surrender interference احنا نرجع
+
+23
+00:01:53,170 --> 00:01:57,850
+للمعادلة and penion بسوا
+
+24
+00:01:57,850 --> 00:01:58,610
+اتنين K
+
+25
+00:02:04,180 --> 00:02:15,100
+على sin²phi معناته sin²phi هتكون ساوية اتنين K على
+
+26
+00:02:15,100 --> 00:02:21,140
+NP يعني هتكون اتنين في واحد على عدد ال .. ال .. ال
+
+27
+00:02:21,140 --> 00:02:26,780
+.. ال اثنان ال pinion اللي هو عشرينيعني واحد على
+
+28
+00:02:26,780 --> 00:02:32,280
+عشرة ومنها بحسب ال sign في ومنها بحسب ال في يعني
+
+29
+00:02:32,280 --> 00:02:39,300
+ال في هتكون
+
+30
+00:02:39,300 --> 00:02:43,420
+square
+
+31
+00:02:43,420 --> 00:02:49,460
+root ل point واحد بطلع
+
+32
+00:02:49,460 --> 00:02:58,450
+اللي هو sign squareسن الفاى بالسوابون تلاتة واحد
+
+33
+00:02:58,450 --> 00:03:05,550
+ستة اتنين هنحسب
+
+34
+00:03:05,550 --> 00:03:17,690
+سين انفرس لبون تلاتة واحد ستة اتنينتطلع تقريبا 18
+
+35
+00:03:17,690 --> 00:03:20,950
+.433 تقريبا 18.433 تقريبا 18.433 تقريبا 18.433
+
+36
+00:03:20,950 --> 00:03:22,830
+تقريبا 18.433 تقريبا 18.433 تقريبا 18.433 تقريبا
+
+37
+00:03:22,830 --> 00:03:29,430
+18.433 تقريبا 18.433 تقريبا 18.433 تقريبا 18.433
+
+38
+00:03:29,430 --> 00:03:29,850
+تقريبا 18.433 تقريبا 18.433 تقريبا 18.433 تقريبا
+
+39
+00:03:29,850 --> 00:03:32,750
+تقريبا 18.433 تقريبا 18.433 تقريبا 18.433 تقريبا
+
+40
+00:03:32,750 --> 00:03:39,770
+18.433 تقريبا 18
+
+41
+00:03:39,770 --> 00:03:47,300
+.433 تقريبا 18.433 تقريبfind the length of the arc
+
+42
+00:03:47,300 --> 00:03:54,740
+of contact and
+
+43
+00:03:54,740 --> 00:04:00,500
+the
+
+44
+00:04:00,500 --> 00:04:03,720
+minimum number of teeth in contact at a time
+
+45
+00:04:03,720 --> 00:04:06,960
+contact ratio يعني
+
+46
+00:04:13,630 --> 00:04:17,070
+ال .. ال .. ال .. لو نرجع على الشكل اللي عندي هنا
+
+47
+00:04:17,070 --> 00:04:24,870
+الشكل
+
+48
+00:04:24,870 --> 00:04:30,610
+اللي انا هكون عندي هنا ال .. ال .. ال .. هاي ال
+
+49
+00:04:30,610 --> 00:04:33,470
+pitch circle بتاع ال .. ال pinion
+
+50
+00:04:37,340 --> 00:04:41,600
+ال length of path of contact اللي هو هيكون k في l
+
+51
+00:04:41,600 --> 00:04:46,820
+ال length of path of contact اللي هو k في l k في l
+
+52
+00:04:46,820 --> 00:04:50,120
+k
+
+53
+00:04:50,120 --> 00:04:55,760
+في l هيكون عند ال ال
+
+54
+00:04:55,760 --> 00:05:00,420
+length of path of contact ال length path of
+
+55
+00:05:00,420 --> 00:05:11,080
+contact بيستوى kKL طلع المثلث المثلث OLK المثلث
+
+56
+00:05:11,080 --> 00:05:15,760
+OLK
+
+57
+00:05:15,760 --> 00:05:21,740
+ال KL هيكون
+
+58
+00:05:21,740 --> 00:05:31,580
+الجزر التربيعي لل OK تربيع هيكون الجزر التربيعي لل
+
+59
+00:05:31,580 --> 00:05:43,140
+OKتربية minus OL تربية ال
+
+60
+00:05:43,140 --> 00:05:47,920
+OK ال
+
+61
+00:05:47,920 --> 00:05:51,620
+OK هو
+
+62
+00:05:51,620 --> 00:06:00,000
+ال R بتاعة ال addendum تربية وال OL
+
+63
+00:06:04,400 --> 00:06:09,060
+الـ OL اللى
+
+64
+00:06:09,060 --> 00:06:14,380
+هو ال base circle اللى هو R cos
+
+65
+00:06:14,380 --> 00:06:18,580
+فى
+
+66
+00:06:18,580 --> 00:06:25,100
+ال
+
+67
+00:06:25,100 --> 00:06:35,570
+R اللى 125 على 2 اللى 62.5 ملي مترو ال R A هتكون
+
+68
+00:06:35,570 --> 00:06:40,930
+ال R زاد ال A ليه اتنين و ستين و نص زاد ستة و ربع
+
+69
+00:06:40,930 --> 00:06:45,890
+يعني هكون اتنين و ستين و نص زاد ستة و ربع اتنين و
+
+70
+00:06:45,890 --> 00:06:51,070
+ستين و ستة تمانية و ستين point سبعة خمسة
+
+71
+00:06:51,070 --> 00:06:58,610
+millimeter يعني هيكون عندي هنا جزر التربية لتمانية
+
+72
+00:06:58,610 --> 00:07:06,070
+و ستين point سبعة خمسةتربيه ماينوس اتنين تربيه
+
+73
+00:07:06,070 --> 00:07:14,390
+ماينوس اتنين وستين و نص تربيه cosine تربيه الفايل
+
+74
+00:07:14,390 --> 00:07:17,810
+هي تمانتاش point أربعة تلاتة
+
+75
+00:07:42,960 --> 00:07:47,920
+بطلع تنين و تلاتين point
+
+76
+00:07:47,920 --> 00:07:54,980
+سبعة تمانية millimeter ال
+
+77
+00:07:54,980 --> 00:08:00,480
+length of arc of contact هو length of path of
+
+78
+00:08:00,480 --> 00:08:05,260
+contact على cosine الفي يعني اتنين و تلاتين point
+
+79
+00:08:05,260 --> 00:08:11,530
+سبعة تمانية على cosineتمنتاش point اربعة تلاتة
+
+80
+00:08:11,530 --> 00:08:19,510
+يعني هتكون بيطلع
+
+81
+00:08:19,510 --> 00:08:25,310
+اربعة تلاتين point خمسة خمسة millimeter هذا ال
+
+82
+00:08:25,310 --> 00:08:32,950
+length of arc of contact ال contact ratio بالساوية
+
+83
+00:08:34,740 --> 00:08:38,540
+ال length of arc of contact على ال pc يعني بيساوي
+
+84
+00:08:38,540 --> 00:08:42,020
+ال length of arc of contact على باي في الموديول
+
+85
+00:08:42,020 --> 00:08:49,960
+عندي
+
+86
+00:08:49,960 --> 00:08:52,700
+اللي هو ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+87
+00:08:52,700 --> 00:08:54,280
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+88
+00:08:54,280 --> 00:08:55,660
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+89
+00:08:55,660 --> 00:08:55,720
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+90
+00:08:55,720 --> 00:08:56,020
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+91
+00:08:56,020 --> 00:08:56,300
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+92
+00:09:02,950 --> 00:09:09,130
+على عدد الأسنان اللي على عشرين مية و خمسة و عشرين
+
+93
+00:09:09,130 --> 00:09:18,110
+تقسم عشرين بيطلع ستة و ربع معناه
+
+94
+00:09:18,110 --> 00:09:21,310
+تكون ال connect ratio هتكون سوى اربعة و تلاتين
+
+95
+00:09:21,310 --> 00:09:25,290
+point خمسة خمسة ع تلاتة point واحد اربع اللي هي
+
+96
+00:09:25,290 --> 00:09:27,370
+باي في ستة و ربع
+
+97
+00:09:39,840 --> 00:09:52,300
+تطلع واحد point سبعة ستة هيك
+
+98
+00:09:52,300 --> 00:09:53,840
+يكون خلصنا ال chapter
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/3gkJa1Esvng_raw.json b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/3gkJa1Esvng_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..be07ef4ae69514c35e8fdce40a292ff287b78c8d
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/3gkJa1Esvng_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3081, "start": 4.89, "end": 30.81, "text": "بسم الله الرحمن الرحيم السلام عليكم ورحمة الله وبركاته اليوم هنكمل المحاضرة الخامسة في chapter ال gears المرة الفاتحة هنا عن حساب ال minimum number of teeth to avoid interference between two mating gears opinion and gear المرة هتحدث ال minimum number of teeth on .. in order to avoid interference between opinion and rack اللي هو ال rack ترسدله", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21136, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224, 45595, 20498, 8032, 1863, 24793, 1211, 9673, 5016, 46958, 25720, 33962, 10943, 3794, 3660, 8978, 7187, 2423, 20915, 9673, 25720, 27188, 9307, 5016, 3660, 34105, 18871, 11331, 3794, 16758, 2423, 7285, 1230, 295, 7798, 281, 5042, 24497, 1296, 732, 49955, 20915, 4800, 293, 7394, 9673, 25720, 8032, 2655, 24401, 12984, 2423, 7285, 1230, 295, 7798, 322, 4386, 294, 1668, 281, 5042, 24497, 1296, 4800, 293, 14788, 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"text": "في الحالة هذه المعادلة تُعطى الـ NP بسوء اتنين K على صين سكوير فيه الـ minimum number of teeth on a pinion for involute rack to avoid interference مُعطُو الإعلاق NP بسوء اتنين K في الصين على صين سكوير فيه خلّينا نحل example opinion of a twenty involute teeth", "tokens": [41185, 21542, 6027, 3660, 29538, 9673, 3615, 18513, 37977, 6055, 10859, 3615, 9566, 7578, 2423, 39184, 38611, 4724, 3794, 2407, 38207, 1975, 2655, 1863, 9957, 591, 15844, 20328, 9957, 8608, 4117, 2407, 13546, 8978, 3224, 2423, 39184, 7285, 1230, 295, 7798, 322, 257, 5447, 313, 337, 2499, 1169, 14788, 281, 5042, 24497, 3714, 10859, 3615, 9566, 10859, 2407, 33688, 30241, 995, 4587, 38611, 4724, 3794, 2407, 38207, 1975, 2655, 1863, 9957, 591, 8978, 31767, 9957, 15844, 20328, 9957, 8608, 4117, 2407, 13546, 8978, 3224, 16490, 1211, 11703, 1829, 8315, 8717, 5016, 1211, 1365, 4800, 295, 257, 7699, 2499, 1169, 7798], "avg_logprob": -0.32116336987750366, "compression_ratio": 1.6278026905829597, "no_speech_prob": 0.0, 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"probability": 0.98681640625}, {"start": 49.41, "end": 49.85, "word": " سكوير", "probability": 0.81890869140625}, {"start": 49.85, "end": 51.25, "word": " فيه", "probability": 0.971435546875}, {"start": 51.25, "end": 52.03, "word": " خلّينا", "probability": 0.77880859375}, {"start": 52.03, "end": 52.49, "word": " نحل", "probability": 0.9923502604166666}, {"start": 52.49, "end": 54.37, "word": " example", "probability": 0.253173828125}, {"start": 54.37, "end": 57.89, "word": " opinion", "probability": 0.708984375}, {"start": 57.89, "end": 58.29, "word": " of", "probability": 0.97705078125}, {"start": 58.29, "end": 58.45, "word": " a", "probability": 0.434814453125}, {"start": 58.45, "end": 58.91, "word": " twenty", "probability": 0.7392578125}, {"start": 58.91, "end": 59.57, "word": " involute", "probability": 0.9208984375}, {"start": 59.57, "end": 60.33, "word": " teeth", "probability": 0.85888671875}], "temperature": 1.0}, {"id": 3, "seek": 8878, "start": 61.36, "end": 88.78, "text": "and a pinion عدس nano T تاعت ال pinion عشرين سن and و ال pitch circle بتاعته قطرها اللي هي D مية و خمسة و عشرين ميلي متر it drives a rack", "tokens": [474, 257, 5447, 313, 6225, 3215, 3794, 30129, 314, 6055, 995, 34268, 2423, 5447, 313, 6225, 46309, 9957, 8608, 1863, 293, 4032, 2423, 7293, 6329, 39894, 995, 34268, 3224, 12174, 9566, 2288, 11296, 13672, 1829, 39896, 413, 3714, 10632, 4032, 16490, 2304, 3794, 3660, 4032, 6225, 46309, 9957, 3714, 1829, 20292, 44650, 2288, 309, 11754, 257, 14788], "avg_logprob": -0.215113146037891, "compression_ratio": 1.3661971830985915, "no_speech_prob": 0.0, "words": [{"start": 61.36, "end": 61.68, "word": "and", "probability": 0.76025390625}, {"start": 61.68, "end": 61.86, "word": " a", "probability": 0.52490234375}, {"start": 61.86, "end": 62.26, "word": " pinion", "probability": 0.8466796875}, {"start": 62.26, "end": 63.32, "word": " عدس", "probability": 0.9576822916666666}, {"start": 63.32, "end": 63.66, "word": " nano", "probability": 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0.79443359375}, {"start": 565.21, "end": 565.29, "word": " هي", "probability": 0.85205078125}, {"start": 565.29, "end": 565.69, "word": " باي", "probability": 0.3629150390625}, {"start": 565.69, "end": 566.47, "word": " في", "probability": 0.63330078125}, {"start": 566.47, "end": 566.89, "word": " ستة", "probability": 0.9861653645833334}, {"start": 566.89, "end": 567.05, "word": " و", "probability": 0.99658203125}, {"start": 567.05, "end": 567.37, "word": " ربع", "probability": 0.9080403645833334}], "temperature": 1.0}, {"id": 21, "seek": 59384, "start": 579.84, "end": 593.84, "text": "تطلع واحد point سبعة ستة هيك يكون خلصنا ال chapter", "tokens": [2655, 9566, 1211, 3615, 36764, 24401, 935, 8608, 3555, 27884, 8608, 2655, 3660, 39896, 4117, 7251, 30544, 16490, 1211, 9381, 8315, 2423, 7187], "avg_logprob": -0.3694661594927311, "compression_ratio": 0.9634146341463414, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 579.84, "end": 580.26, "word": "تطلع", "probability": 0.62353515625}, {"start": 580.26, "end": 580.82, "word": " واحد", "probability": 0.756103515625}, {"start": 580.82, "end": 582.62, "word": " point", "probability": 0.468505859375}, {"start": 582.62, "end": 583.34, "word": " سبعة", "probability": 0.8880208333333334}, {"start": 583.34, "end": 584.26, "word": " ستة", "probability": 0.95166015625}, {"start": 584.26, "end": 592.3, "word": " هيك", "probability": 0.5128173828125}, {"start": 592.3, "end": 592.54, "word": " يكون", "probability": 0.6861572265625}, {"start": 592.54, "end": 593.18, "word": " خلصنا", "probability": 0.9788818359375}, {"start": 593.18, "end": 593.46, "word": " ال", "probability": 0.701171875}, {"start": 593.46, "end": 593.84, "word": " chapter", "probability": 0.9501953125}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 595.3131875, "duration_after_vad": 522.9206250000004}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/3gkJa1Esvng_raw.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/3gkJa1Esvng_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..63d4ed70214d605d0fc55e977c57bfe130762e19
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/3gkJa1Esvng_raw.srt
@@ -0,0 +1,420 @@
+1
+00:00:04,890 --> 00:00:07,630
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,630 --> 00:00:10,930
+وبركاته اليوم هنكمل المحاضرة الخامسة في chapter ال
+
+3
+00:00:10,930 --> 00:00:14,530
+gears المرة الفاتحة هنا عن حساب ال minimum number
+
+4
+00:00:14,530 --> 00:00:17,010
+of teeth to avoid interference between two mating
+
+5
+00:00:17,010 --> 00:00:22,390
+gears opinion and gear المرة هتحدث ال minimum
+
+6
+00:00:22,390 --> 00:00:25,130
+number of teeth on .. in order to avoid
+
+7
+00:00:25,130 --> 00:00:29,810
+interference between opinion and rack اللي هو ال
+
+8
+00:00:29,810 --> 00:00:36,170
+rack ترسدلهفي الحالة هذه المعادلة تُعطى الـ NP
+
+9
+00:00:36,170 --> 00:00:40,870
+بسوء اتنين K على صين سكوير فيه الـ minimum number
+
+10
+00:00:40,870 --> 00:00:45,770
+of teeth on a pinion for involute rack to avoid
+
+11
+00:00:45,770 --> 00:00:48,690
+interference مُعطُو الإعلاق NP بسوء اتنين K في
+
+12
+00:00:48,690 --> 00:00:57,890
+الصين على صين سكوير فيه خلّينا نحل example opinion
+
+13
+00:00:57,890 --> 00:01:05,460
+of a twenty involute teethand a pinion عدس nano T
+
+14
+00:01:05,460 --> 00:01:13,180
+تاعت ال pinion عشرين سن and
+
+15
+00:01:13,180 --> 00:01:21,000
+و ال pitch circle بتاعته قطرها اللي هي D مية و
+
+16
+00:01:21,000 --> 00:01:27,900
+خمسة و عشرين ميلي متر it
+
+17
+00:01:27,900 --> 00:01:32,590
+drives a rackthe addendum of both pen and rag is 6
+
+18
+00:01:32,590 --> 00:01:38,930
+.25 مليمتر
+
+19
+00:01:38,930 --> 00:01:42,910
+what is
+
+20
+00:01:42,910 --> 00:01:45,910
+the least pressure angle which can be used to
+
+21
+00:01:45,910 --> 00:01:50,750
+avoid interference ايش اقل زاوية لل pressure angle
+
+22
+00:01:50,750 --> 00:01:53,170
+عشان اتجنب surrender interference احنا نرجع
+
+23
+00:01:53,170 --> 00:01:57,850
+للمعادلة and penion بسوا
+
+24
+00:01:57,850 --> 00:01:58,610
+اتنين K
+
+25
+00:02:04,180 --> 00:02:15,100
+على sin²phi معناته sin²phi هتكون ساوية اتنين K على
+
+26
+00:02:15,100 --> 00:02:21,140
+NP يعني هتكون اتنين في واحد على عدد ال .. ال .. ال
+
+27
+00:02:21,140 --> 00:02:26,780
+.. ال اثنان ال pinion اللي هو عشرينيعني واحد على
+
+28
+00:02:26,780 --> 00:02:32,280
+عشرة ومنها بحسب ال sign في ومنها بحسب ال في يعني
+
+29
+00:02:32,280 --> 00:02:39,300
+ال في هتكون
+
+30
+00:02:39,300 --> 00:02:43,420
+square
+
+31
+00:02:43,420 --> 00:02:49,460
+root ل point واحد بطلع
+
+32
+00:02:49,460 --> 00:02:58,450
+اللي هو sign squareسن الفاى بالسوابون تلاتة واحد
+
+33
+00:02:58,450 --> 00:03:05,550
+ستة اتنين هنحسب
+
+34
+00:03:05,550 --> 00:03:17,690
+سين انفرس لبون تلاتة واحد ستة اتنينتطلع تقريبا 18
+
+35
+00:03:17,690 --> 00:03:20,950
+.433 تقريبا 18.433 تقريبا 18.433 تقريبا 18.433
+
+36
+00:03:20,950 --> 00:03:22,830
+تقريبا 18.433 تقريبا 18.433 تقريبا 18.433 تقريبا
+
+37
+00:03:22,830 --> 00:03:29,430
+18.433 تقريبا 18.433 تقريبا 18.433 تقريبا 18.433
+
+38
+00:03:29,430 --> 00:03:29,850
+تقريبا 18.433 تقريبا 18.433 تقريبا 18.433 تقريبا
+
+39
+00:03:29,850 --> 00:03:29,850
+18.433 تقريبا 18.433 تقريبا 18.433 تقريبا 18.433
+
+40
+00:03:29,850 --> 00:03:32,750
+تقريبا 18.433 تقريبا 18.433 تقريبا 18.433 تقريبا
+
+41
+00:03:32,750 --> 00:03:39,770
+18.433 تقريبا 18
+
+42
+00:03:39,770 --> 00:03:47,300
+.433 تقريبا 18.433 تقريبfind the length of the arc
+
+43
+00:03:47,300 --> 00:03:54,740
+of contact and
+
+44
+00:03:54,740 --> 00:04:00,500
+the
+
+45
+00:04:00,500 --> 00:04:03,720
+minimum number of teeth in contact at a time
+
+46
+00:04:03,720 --> 00:04:06,960
+contact ratio يعني
+
+47
+00:04:13,630 --> 00:04:17,070
+ال .. ال .. ال .. لو نرجع على الشكل اللي عندي هنا
+
+48
+00:04:17,070 --> 00:04:24,870
+الشكل
+
+49
+00:04:24,870 --> 00:04:30,610
+اللي انا هكون عندي هنا ال .. ال .. ال .. هاي ال
+
+50
+00:04:30,610 --> 00:04:33,470
+pitch circle بتاع ال .. ال pinion
+
+51
+00:04:37,340 --> 00:04:41,600
+ال length of path of contact اللي هو هيكون k في l
+
+52
+00:04:41,600 --> 00:04:46,820
+ال length of path of contact اللي هو k في l k في l
+
+53
+00:04:46,820 --> 00:04:50,120
+k
+
+54
+00:04:50,120 --> 00:04:55,760
+في l هيكون عند ال ال
+
+55
+00:04:55,760 --> 00:05:00,420
+length of path of contact ال length path of
+
+56
+00:05:00,420 --> 00:05:11,080
+contact بيستوى kKL طلع المثلث المثلث OLK المثلث
+
+57
+00:05:11,080 --> 00:05:15,760
+OLK
+
+58
+00:05:15,760 --> 00:05:21,740
+ال KL هيكون
+
+59
+00:05:21,740 --> 00:05:31,580
+الجزر التربيعي لل OK تربيع هيكون الجزر التربيعي لل
+
+60
+00:05:31,580 --> 00:05:43,140
+OKتربية minus OL تربية ال
+
+61
+00:05:43,140 --> 00:05:47,920
+OK ال
+
+62
+00:05:47,920 --> 00:05:51,620
+OK هو
+
+63
+00:05:51,620 --> 00:06:00,000
+ال R بتاعة ال addendum تربية وال OL
+
+64
+00:06:04,400 --> 00:06:09,060
+الـ OL اللى
+
+65
+00:06:09,060 --> 00:06:14,380
+هو ال base circle اللى هو R cos
+
+66
+00:06:14,380 --> 00:06:18,580
+فى
+
+67
+00:06:18,580 --> 00:06:25,100
+ال
+
+68
+00:06:25,100 --> 00:06:35,570
+R اللى 125 على 2 اللى 62.5 ملي مترو ال R A هتكون
+
+69
+00:06:35,570 --> 00:06:40,930
+ال R زاد ال A ليه اتنين و ستين و نص زاد ستة و ربع
+
+70
+00:06:40,930 --> 00:06:45,890
+يعني هكون اتنين و ستين و نص زاد ستة و ربع اتنين و
+
+71
+00:06:45,890 --> 00:06:51,070
+ستين و ستة تمانية و ستين point سبعة خمسة
+
+72
+00:06:51,070 --> 00:06:58,610
+millimeter يعني هيكون عندي هنا جزر التربية لتمانية
+
+73
+00:06:58,610 --> 00:07:06,070
+و ستين point سبعة خمسةتربيه ماينوس اتنين تربيه
+
+74
+00:07:06,070 --> 00:07:14,390
+ماينوس اتنين وستين و نص تربيه cosine تربيه الفايل
+
+75
+00:07:14,390 --> 00:07:17,810
+هي تمانتاش point أربعة تلاتة
+
+76
+00:07:42,960 --> 00:07:47,920
+بطلع تنين و تلاتين point
+
+77
+00:07:47,920 --> 00:07:54,980
+سبعة تمانية millimeter ال
+
+78
+00:07:54,980 --> 00:08:00,480
+length of arc of contact هو length of path of
+
+79
+00:08:00,480 --> 00:08:05,260
+contact على cosine الفي يعني اتنين و تلاتين point
+
+80
+00:08:05,260 --> 00:08:11,530
+سبعة تمانية على cosineتمنتاش point اربعة تلاتة
+
+81
+00:08:11,530 --> 00:08:19,510
+يعني هتكون بيطلع
+
+82
+00:08:19,510 --> 00:08:25,310
+اربعة تلاتين point خمسة خمسة millimeter هذا ال
+
+83
+00:08:25,310 --> 00:08:32,950
+length of arc of contact ال contact ratio بالساوية
+
+84
+00:08:34,740 --> 00:08:38,540
+ال length of arc of contact على ال pc يعني بيساوي
+
+85
+00:08:38,540 --> 00:08:42,020
+ال length of arc of contact على باي في الموديول
+
+86
+00:08:42,020 --> 00:08:49,960
+عندي
+
+87
+00:08:49,960 --> 00:08:52,700
+اللي هو ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+88
+00:08:52,700 --> 00:08:54,280
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+89
+00:08:54,280 --> 00:08:55,660
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+90
+00:08:55,660 --> 00:08:55,720
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+91
+00:08:55,720 --> 00:08:56,020
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+92
+00:08:56,020 --> 00:08:56,300
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+93
+00:08:56,300 --> 00:08:56,300
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+94
+00:08:56,300 --> 00:08:56,300
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+95
+00:08:56,300 --> 00:08:56,300
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+96
+00:08:56,300 --> 00:08:56,300
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+97
+00:08:56,300 --> 00:08:56,300
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+98
+00:08:56,300 --> 00:08:56,300
+ال ال ال ال ال
+
+99
+00:09:02,950 --> 00:09:09,130
+على عدد الأسنان اللي على عشرين مية و خمسة و عشرين
+
+100
+00:09:09,130 --> 00:09:18,110
+تقسم عشرين بيطلع ستة و ربع معناه
+
+101
+00:09:18,110 --> 00:09:21,310
+تكون ال connect ratio هتكون سوى اربعة و تلاتين
+
+102
+00:09:21,310 --> 00:09:25,290
+point خمسة خمسة ع تلاتة point واحد اربع اللي هي
+
+103
+00:09:25,290 --> 00:09:27,370
+باي في ستة و ربع
+
+104
+00:09:39,840 --> 00:09:52,300
+تطلع واحد point سبعة ستة هيك
+
+105
+00:09:52,300 --> 00:09:53,840
+يكون خلصنا ال chapter
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/6YTti85ZwJU.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/6YTti85ZwJU.srt
new file mode 100644
index 0000000000000000000000000000000000000000..da69e8e704a3b3f6d05d28bea79426e80a0bc8ad
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/6YTti85ZwJU.srt
@@ -0,0 +1,2688 @@
+1
+00:00:05,260 --> 00:00:07,900
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,900 --> 00:00:12,240
+وبركاته اليوم هنبدأ Chapter جديد في مادة نظرية
+
+3
+00:00:12,240 --> 00:00:16,160
+الألات. العنوان الـ Chapter هو Turning Moment
+
+4
+00:00:16,160 --> 00:00:25,960
+Diagrams and Flywheels. خلينا
+
+5
+00:00:25,960 --> 00:00:31,000
+طبعا هنتعرف على بعض الـ definitions. أول شيء، إيش هو
+
+6
+00:00:31,000 --> 00:00:33,660
+الـ Turning Moment Diagram؟ الـ Turning Moment
+
+7
+00:00:33,660 --> 00:00:38,380
+Diagram هو تمثيل graphical representation لـ
+
+8
+00:00:38,380 --> 00:00:44,700
+Turning Moment عند الكرانك لمواضيع مختلفة من زاوية
+
+9
+00:00:44,700 --> 00:00:47,440
+الدوران للكرانك. يعني الـ Turning Moment Diagram هو
+
+10
+00:00:47,440 --> 00:00:51,380
+graphical representation of the Turning Moment or
+
+11
+00:00:51,380 --> 00:00:55,880
+crank effort for various positions of the crank.
+
+12
+00:00:55,880 --> 00:00:57,700
+هذا الـ Turning Moment Diagram.
+
+13
+00:01:01,200 --> 00:01:04,680
+أبين عندي هنا الـ Turning Moment Diagram for a
+
+14
+00:01:04,680 --> 00:01:09,540
+single cylinder double acting steam engine. هذا الـ
+
+15
+00:01:09,540 --> 00:01:14,100
+Turning Moment Diagram لمحرك بخاري بيشتغل في
+
+16
+00:01:14,100 --> 00:01:17,760
+الاتجاهين، مكون من أسطوانة واحدة (single cylinder)
+
+17
+00:01:17,760 --> 00:01:22,620
+double acting steam engine. على المحور الأفقي، أبين
+
+18
+00:01:22,620 --> 00:01:27,520
+عندي زاوية الدوران للـ crank (crank angle). على
+
+19
+00:01:27,520 --> 00:01:30,620
+المحور الرأسي، اللي هي الـ Turning Moment. طبعا الـ
+
+20
+00:01:30,620 --> 00:01:36,600
+Turning Moment بتختلف... بتختلف باختلاف الـ...
+
+21
+00:01:36,600 --> 00:01:42,460
+باختلاف الزاوية (crank angle). الدورة بتاعة
+
+22
+00:01:42,460 --> 00:01:46,160
+الـ steam engine للمحرك البخاري بتكون 360 درجة، وبيكون في عندي two working strokes.
+
+24
+00:01:50,780 --> 00:01:56,600
+واحدة. two working strokes يعني
+
+25
+00:01:56,600 --> 00:01:59,940
+في الاتجاه هنا، هو طالع من الـ top dead center لـ الـ
+
+26
+00:01:59,940 --> 00:02:01,740
+bottom dead center. هاي working stroke، وفي another
+
+27
+00:02:01,740 --> 00:02:03,720
+working stroke من الـ bottom dead center لـ الـ top
+
+28
+00:02:03,720 --> 00:02:06,020
+dead center. بيكون عندي another working stroke.
+
+29
+00:02:06,020 --> 00:02:10,960
+لاحظوا الـ variation للـ torque الناتج.
+
+30
+00:02:13,670 --> 00:02:17,790
+متغير مع الزاوية. الـ T mean، هذا اللي هي الـ main
+
+31
+00:02:17,790 --> 00:02:20,790
+resisting torque اللي أنا فيه، عند الـ load، بيكون
+
+32
+00:02:20,790 --> 00:02:25,830
+موجود على الـ crank، بيكون قيمته ثابتة، بيكون قيمته
+
+33
+00:02:25,830 --> 00:02:30,890
+ثابتة، زي ما أنتم ملاحظين. بعض الأحيان، الـ resulting
+
+34
+00:02:30,890 --> 00:02:35,850
+torque الناتج عن الـ pressure at the cylinder بيكون
+
+35
+00:02:35,850 --> 00:02:40,010
+أعلى من الـ main torque، وبعض الأحيان بيكون
+
+36
+00:02:40,010 --> 00:02:41,150
+بيكون أقل.
+
+37
+00:02:44,450 --> 00:02:48,590
+الـ tearing moment على الكرانك شافت، هذا المعادلة
+
+38
+00:02:48,590 --> 00:02:53,850
+درسناها في Chapter 15: FP × R sin θ + sin 2θ / 2 (جزي تربيع) / N تربيع - sin تربيع في θ. الـ FP، الـ piston effort هو الـ net
+
+40
+00:02:57,490 --> 00:03:02,690
+force الناتج عن الـ pressure بتاع البخار،
+
+41
+00:03:02,690 --> 00:03:09,130
+force الناتجة عن الـ pressure بتاع البخار، و الـ inertia forces، و الـ
+
+42
+00:03:09,130 --> 00:03:15,610
+friction. هي الـ net force... الـ... الـ... الـ... الـ
+
+43
+00:03:19,450 --> 00:03:24,310
+... الـ piston effort هي الـ net force الناتج عن الـ
+
+44
+00:03:24,310 --> 00:03:28,550
+pressure forces من البخار، و الـ inertia forces لـ الـ
+
+45
+00:03:28,550 --> 00:03:33,450
+reciprocating masses، و الـ friction. وهذا درسناها
+
+46
+00:03:33,450 --> 00:03:37,510
+برضه في Chapter 15. الـ R، الـ radius للكرانك. الـ θ،
+
+47
+00:03:37,510 --> 00:03:43,000
+لكرانك angle، و الـ N اللي هي النسبة بين طول الـ
+
+48
+00:03:43,000 --> 00:03:47,360
+connecting rod و الـ crank (L / R) اللي هي طول
+
+49
+00:03:47,360 --> 00:03:56,060
+الـ connecting rod، و الـ R هي نصف قطر الـ crank. الـ
+
+50
+00:03:56,060 --> 00:04:03,020
+out stroke عبارة عن curve ABC. الـ curve ABC هذه الـ
+
+51
+00:04:03,020 --> 00:04:06,260
+stroke اللي هي 180 درجة، اللي بيكون عندك الـ piston
+
+52
+00:04:06,260 --> 00:04:11,530
+طالع من الـ top dead center للـ bottom dead center.
+
+53
+00:04:11,530 --> 00:04:18,150
+اللي هي الـ out stroke. الـ in stroke بتكون الفترة بين
+
+54
+00:04:18,150 --> 00:04:23,690
+الـ bottom dead center للـ top dead center، اللي هي
+
+55
+00:04:23,690 --> 00:04:30,070
+CDE. معناته، في الـ double acting single cylinder
+
+56
+00:04:30,070 --> 00:04:36,970
+steam engine، بيكون دي out stroke، وعندي in stroke، out
+
+57
+00:04:36,970 --> 00:04:43,910
+stroke، و in stroke، الشغل
+
+58
+00:04:43,910 --> 00:04:47,090
+المفروض (work done) بيساوي Turning Moment × الزاوية.
+
+59
+00:04:47,090 --> 00:04:51,290
+الشغل عبارة عن moment × angle، يعني الـ torque ×
+
+60
+00:04:51,290 --> 00:04:55,530
+θ. الـ work done هو الـ area.
+
+61
+00:04:58,330 --> 00:05:04,670
+work done هو عبارة
+
+62
+00:05:04,670 --> 00:05:08,410
+عن حاصل ضرب الـ Turning Moment في الزاوية.
+
+63
+00:05:15,240 --> 00:05:18,220
+In actual practice, the engine is assumed to work
+
+64
+00:05:18,220 --> 00:05:22,400
+against the main resisting torque. يعني الـ engine
+
+65
+00:05:22,400 --> 00:05:26,960
+بيشتغل، بيعطي الشغل عشان يتغلب على الـ main
+
+66
+00:05:26,960 --> 00:05:29,920
+resisting torque. عشان يتغلب على الـ main resisting
+
+67
+00:05:29,920 --> 00:05:34,700
+torque. الـ area of rectangle اللي هي A (small A)
+
+68
+00:05:34,700 --> 00:05:40,340
+F (capital F) E (capital E). هذه المستطيل اللي هي A (small A) F (capital F) E (capital E).
+
+69
+00:05:40,340 --> 00:05:45,700
+بتمثل، اللي هي is proportional
+
+70
+00:05:45,700 --> 00:05:51,960
+بييتناسب مع الشغل المبذول مقابل اللي هو الـ
+
+71
+00:05:51,960 --> 00:05:53,460
+resisting torque.
+
+72
+00:05:59,200 --> 00:06:04,840
+When the Turning Moment is positive, the engine torque is
+
+73
+00:06:04,840 --> 00:06:07,980
+more than the main resisting torque. لأن في المنطقة هذه
+
+74
+00:06:07,980 --> 00:06:14,780
+بين B و C، وبين D و E، بيكون الـ torque أعلى من الـ
+
+75
+00:06:14,780 --> 00:06:17,180
+main resisting torque. معناته، الـ net torque بيكون
+
+76
+00:06:17,180 --> 00:06:26,020
+إيش؟ positive. يعني في الفترة بين B و C أو D و E، لأن
+
+77
+00:06:26,020 --> 00:06:33,860
+الـ net torque أعلى، بيصير تسارع... تسارع للـ crank
+
+78
+00:06:33,860 --> 00:06:40,000
+shaft، و الـ work is done by steam. يعني الـ... الـ...
+
+79
+00:06:40,000 --> 00:06:43,680
+الـ steam بيعمل شغل على الـ piston. الـ work is done
+
+80
+00:06:43,680 --> 00:06:48,080
+by steam on the piston في الفترة ما بين B و C، و D
+
+81
+00:06:48,080 --> 00:06:52,800
+إيه؟ و إيه؟
+
+82
+00:06:52,800 --> 00:06:57,420
+When the Turning Moment is negative، لما تكون thing what
+
+83
+00:06:57,420 --> 00:07:00,800
+is negative، بيكون الـ engine torque، هي الـ engine
+
+84
+00:07:00,800 --> 00:07:03,880
+torque أقل من الـ main resisting، هي الـ main
+
+85
+00:07:03,880 --> 00:07:05,760
+resisting، وهي الـ engine torque أقل.
+
+86
+00:07:08,290 --> 00:07:18,750
+زي ما هو مبين بين C و D، أو بين A و B، أو بين E و F.
+
+87
+00:07:18,750 --> 00:07:26,210
+بيكون الـ actual، هو الـ generated torque، أقل من الـ
+
+88
+00:07:26,210 --> 00:07:28,610
+mean resisting torque. معناته، بيكون الـ net torque بين
+
+89
+00:07:28,610 --> 00:07:31,570
+الـ negative. في الحالة لما الـ negative هو torque من
+
+90
+00:07:31,570 --> 00:07:37,420
+الـ negative، الـ crank shaft ببدأ يتباطأ. وفي الحالة
+
+91
+00:07:37,420 --> 00:07:42,580
+هذه، الشغل بيكون من الـ work is done on the steam by
+
+92
+00:07:42,580 --> 00:07:45,940
+the piston. الـ piston بيعمل شغل على البخار. يعني في
+
+93
+00:07:45,940 --> 00:07:50,060
+الحالة هذه، بكون أطرد البخار برا المحرك. crank
+
+94
+00:07:50,060 --> 00:07:55,000
+retard. يعني الـ crank shaft بيسير ببطء، والشغل
+
+95
+00:07:55,000 --> 00:07:58,460
+بيكون معمول من الـ pistons على البخار.
+
+96
+00:08:02,450 --> 00:08:08,770
+خليني أعرف بعض الـ تغيرات. الـ T هي torque on the
+
+97
+00:08:08,770 --> 00:08:15,090
+crankshaft at any instant. الـ
+
+98
+00:08:15,090 --> 00:08:20,130
+T mean اللي هي الـ mean resisting torque. الـ
+
+99
+00:08:20,130 --> 00:08:24,630
+accelerating torque on the rotating parts of the
+
+100
+00:08:24,630 --> 00:08:30,310
+engine بيساوي T - الـ T mean. إذا كان الـ T -
+
+101
+00:08:30,310 --> 00:08:36,240
+الـ T mean موجب،  المنوالة (flywheel) تتسارع. وإذا كان
+
+102
+00:08:36,240 --> 00:08:42,000
+الـ T - T mean سالب، يعني كان الـ torque at
+
+103
+00:08:42,000 --> 00:08:45,960
+the crank أقل من الـ resisting torque، بيكون عنده الـ
+
+104
+00:08:45,960 --> 00:08:49,860
+net torque سالب، الفلاي ويل (أو المنوالة) تتباطأ.
+
+105
+00:08:53,480 --> 00:08:57,780
+هذا أبين الـ Turning Moment Diagram لـ four stroke cycle
+
+106
+00:08:57,780 --> 00:09:01,720
+internal combustion engine. يعني الـ four stroke الـ
+
+107
+00:09:01,720 --> 00:09:05,100
+internal combustion engine (محرك الاحتراق الداخلي).
+
+108
+00:09:05,100 --> 00:09:09,000
+الدورة الكاملة عنده أربعة أجزاء. خلينا نشوف.
+
+109
+00:09:12,450 --> 00:09:16,970
+عندي من صفر لـ 180، 180 لـ 360
+
+110
+00:09:16,970 --> 00:09:20,450
+و 60، 360 لـ 540، 540
+
+111
+00:09:20,450 --> 00:09:26,430
+لـ 720 درجة. أنا عندي هاي الـ
+
+112
+00:09:26,430 --> 00:09:32,430
+cylinder. هاي الـ
+
+113
+00:09:32,430 --> 00:09:37,450
+cylinder، وهاي الـ
+
+114
+00:09:37,450 --> 00:09:43,640
+piston. لما نكون at the top dead center، بيكون عندي
+
+115
+00:09:43,640 --> 00:09:53,940
+هاي الـ connecting rod، وهي الـ crank، وفي
+
+116
+00:09:53,940 --> 00:10:04,460
+عندي صمام عشان يدخل وقود وهواء، وصمام عشان للخروج
+
+117
+00:10:04,460 --> 00:10:12,580
+خروج الغازات. وعندي البوجية. عندي البوجية.
+
+118
+00:10:19,480 --> 00:10:21,880
+في البداية، في عندي suction stroke. في الـ suction
+
+119
+00:10:21,880 --> 00:10:28,380
+stroke، بنزل الـ piston لتحت، بيسحب هواء. في الـ suction
+
+120
+00:10:28,380 --> 00:10:39,360
+هذه. هذه الـ top، هذا الـ center. in suction stroke،
+
+121
+00:10:39,360 --> 00:10:43,460
+في الشفط، بتاع الشفط، بنزل الـ piston لتحت، وبيشفط
+
+122
+00:10:43,460 --> 00:10:49,510
+بيفتح الصمام. بيكون الصمام... بيكون عندي اللي هو الـ... الـ
+
+123
+00:10:49,510 --> 00:10:59,550
+... الـ fuel... fuel valve open، و الـ... الـ... الـ...
+
+124
+00:10:59,550 --> 00:11:09,310
+الـ exhaust تاع الدخل، الـ exhaust valve is closing، و
+
+125
+00:11:09,310 --> 00:11:17,420
+هذا، هتصير فترة من صفر لـ 180، بتكون منخفضة. يعني بدخل
+
+126
+00:11:17,420 --> 00:11:24,720
+fuel and air as
+
+127
+00:11:24,720 --> 00:11:29,960
+the piston moves
+
+128
+00:11:29,960 --> 00:11:41,380
+from top dead center to bottom dead center.
+
+129
+00:11:47,480 --> 00:12:02,660
+يعني هذا بيكون نازل، بيفتح، وهذا إيش؟ مسكر. and
+
+130
+00:12:02,660 --> 00:12:06,560
+here، الـ bottom dead center.
+
+131
+00:12:31,510 --> 00:12:36,290
+هذه اللي هي الـ suction stroke. بعدين تيجي الـ
+
+132
+00:12:36,290 --> 00:12:40,570
+compression stroke. compression stroke هي 180
+
+133
+00:12:40,570 --> 00:12:50,410
+درجة. في الـ compression stroke، الـ piston بيكون في
+
+134
+00:12:50,410 --> 00:12:57,810
+الحالة هذه. في الـ compression stroke، بيكون عندي الـ
+
+135
+00:12:57,810 --> 00:12:58,950
+valve، الـ fuel
+
+136
+00:13:02,890 --> 00:13:12,270
+valve closed (مسكر). والـ exhaust valve بيكون
+
+137
+00:13:12,270 --> 00:13:17,030
+مسكر (closed). إثنين الـ two valves مسكرين. الـ piston
+
+138
+00:13:17,030 --> 00:13:24,250
+طبعا، الفترة هذه بتكون بين اللي هو 180 لـ 360. الـ
+
+139
+00:13:24,250 --> 00:13:28,510
+piston هو اللي
+
+140
+00:13:28,510 --> 00:13:30,670
+from
+
+141
+00:13:32,820 --> 00:13:45,240
+bottom dead center إلى top dead center. يعني
+
+142
+00:13:45,240 --> 00:13:50,440
+بيطلع، وبيضغط. ثلاثة.
+
+143
+00:13:50,440 --> 00:13:55,420
+الـ
+
+144
+00:13:55,420 --> 00:13:58,260
+expansion أو الـ working stroke. الـ expansion
+
+145
+00:14:03,990 --> 00:14:08,630
+stroke. لأن بعد ما أخلص الـ compression، لما... بعد
+
+146
+00:14:08,630 --> 00:14:15,490
+ما أخلص الـ compression، الـ compression بتحرك اللي
+
+147
+00:14:15,490 --> 00:14:24,810
+بيصير عندي هنا. الـ piston، لأن
+
+148
+00:14:32,690 --> 00:14:37,730
+في الـ... في الـ... في الـ... البوجية بتعطي شرارة.
+
+149
+00:14:37,730 --> 00:14:47,630
+بتعطي إيش اسمه؟ electric spark.
+
+150
+00:14:47,630 --> 00:14:51,030
+is
+
+151
+00:14:51,030 --> 00:14:55,110
+given. وبالتالي،
+
+152
+00:14:55,110 --> 00:14:58,070
+بيصير عندي انفجار (explosion).
+
+153
+00:15:01,730 --> 00:15:10,210
+of fuel and burning plus burning. في الحالة، هتبقى
+
+154
+00:15:10,210 --> 00:15:16,270
+ندفع الـ piston. الـ piston is
+
+155
+00:15:16,270 --> 00:15:20,510
+moving downward
+
+156
+00:15:20,510 --> 00:15:23,650
+from
+
+157
+00:15:26,050 --> 00:15:34,810
+top dead center to bottom dead center. و الـ fuel
+
+158
+00:15:34,810 --> 00:15:39,590
+valve is
+
+159
+00:15:39,590 --> 00:15:48,870
+closed. و الـ exhaust valve is
+
+160
+00:15:48,870 --> 00:15:56,340
+closed. الـ stroke الرابع، اللي هي الـ exhaust، الـ
+
+161
+00:15:56,340 --> 00:16:01,960
+exhaust stroke.
+
+162
+00:16:01,960 --> 00:16:13,640
+الـ yes. بيسيب من... من... من 360 لـ 720. في الحالة
+
+163
+00:16:13,640 --> 00:16:24,170
+هذه، عندك بيكون الـ... الـ fuel valve مسكر. بفتح
+
+164
+00:16:24,170 --> 00:16:33,470
+صمام الدخان اللي هو exhaust valve (open).
+
+165
+00:16:33,470 --> 00:16:42,610
+بفتح صمام الدخان، بصير طرد للدخان، بصير أطرد الدخان.
+
+166
+00:16:42,610 --> 00:16:47,670
+الـ piston، طبعا moves
+
+167
+00:16:49,340 --> 00:16:58,120
+from bottom dead center to top dead center. في
+
+168
+00:16:58,120 --> 00:17:09,160
+الحالة هذه، بيصير work is done، work is done on bird.
+
+169
+00:17:09,160 --> 00:17:11,620
+on bird.
+
+170
+00:17:13,150 --> 00:17:17,750
+fuel. بس أنا بضغط، بطرد الوقود المحترق... المحترق
+
+171
+00:17:17,750 --> 00:17:23,770
+ورا الـ... الـ... الـ engine. فبعدين
+
+172
+00:17:23,770 --> 00:17:27,370
+بيصير برجة بعيد. بيصير suction، compression، working،
+
+173
+00:17:27,370 --> 00:17:30,050
+exhaust. بعدين suction، compression، working، exhaust.
+
+174
+00:17:30,050 --> 00:17:32,710
+وبعدين كده، بتبقى تعيد الدورة. فهيك الـ engine بتاع
+
+175
+00:17:32,710 --> 00:17:37,050
+السيارة شغال. معناته، اللي هو محرك الاحتراق الداخلي
+
+176
+00:17:37,050 --> 00:17:40,930
+بيكون عبارة عن أربع strokes. فأنا مبين عن دي
+
+177
+00:17:46,130 --> 00:17:49,370
+الأجزاء دي. اللي هو الـ suction stroke، من صفر لـ 180.
+
+178
+00:17:49,370 --> 00:17:52,090
+يعني من صفر، يعني من الـ top dead center لـ bottom
+
+179
+00:17:52,090 --> 00:17:54,690
+dead center. الـ compression، من الـ bottom dead
+
+180
+00:17:54,690 --> 00:17:57,910
+center لـ الـ top dead center. الـ working، من الـ top
+
+181
+00:17:57,910 --> 00:18:00,290
+dead center لـ الـ bottom dead center. الـ exhaust، من
+
+182
+00:18:00,290 --> 00:18:03,010
+الـ bottom dead center لـ الـ top dead center. يعني
+
+183
+00:18:03,010 --> 00:18:07,590
+هتكون 720 درجة.
+
+184
+00:18:11,10
+
+223
+00:21:05,970 --> 00:21:10,590
+هتقل لأنه أخذ جزء من طاقة حركتها عشان يعوض العجز
+
+224
+00:21:10,590 --> 00:21:10,970
+عنده
+
+225
+00:21:13,770 --> 00:21:18,670
+from P to Q، الـ work done by the engineer عبارة عن
+
+226
+00:21:18,670 --> 00:21:28,570
+مساحة P بكابيتال B بكابيتال C كابيتال Q، الشغل المطلوب عند
+
+227
+00:21:28,570 --> 00:21:32,890
+الـ load عبارة عن مساحة P بكابيتال B بكابيتال C كابيتال Q
+
+228
+00:21:33,570 --> 00:21:38,290
+واضح أن الشغل المنتج أو الطاقة المنتجة أكبر من
+
+229
+00:21:38,290 --> 00:21:40,810
+الطاقة الموجودة..معناته في عندي زيادة..الزيادة
+
+230
+00:21:40,810 --> 00:21:43,790
+ما أنا بأوديها بروح بخزنها في الـ flywheel وبالتالي
+
+231
+00:21:43,790 --> 00:21:45,730
+سرعة الـ flywheel هتزيد
+
+232
+00:21:49,630 --> 00:21:54,730
+من Q لـ R، الطاقة
+
+233
+00:21:54,730 --> 00:21:59,570
+المنتجة من الـ engine عبارة عن المساحة C Q
+
+234
+00:21:59,570 --> 00:22:05,290
+C كابيتال Q كابيتال S سمول C سمول، والمساحة اللي هي
+
+235
+00:22:05,290 --> 00:22:12,770
+C D كابيتال R سمول، والطاقة المطلوبة بتمثل مساحة
+
+236
+00:22:12,770 --> 00:22:17,490
+Q سمول C كابيتال D كابيتال R سمول، أكبر من الطاقة
+
+237
+00:22:17,490 --> 00:22:22,570
+المنتجة، وبالتالي الطاقة المنتجة، أو النقص في الطاقة
+
+238
+00:22:22,570 --> 00:22:25,590
+..النقص أو العجز سيعوض من الـ flywheel، بياخد من
+
+239
+00:22:25,590 --> 00:22:30,030
+الـ flywheel، وبالتالي بتصير سرعة الـ flywheel بتقل
+
+240
+00:22:30,030 --> 00:22:37,710
+الآن من R لـ S، من R لـ S، من هنا لهنا، الطاقة المنتجة من
+
+241
+00:22:37,710 --> 00:22:41,910
+الـ engine هتكون مساحة اللي هي R سمول D كابيتال D
+
+242
+00:22:41,910 --> 00:22:46,870
+سمول E كابيتال S سمول، الطاقة المطلوبة عند الـ
+
+243
+00:22:46,870 --> 00:22:50,270
+load عبارة عن المساحة R سمول D كابيتال E كابيتال
+
+244
+00:22:50,270 --> 00:22:54,010
+S كابيتال، واضح أن الطاقة المنتجة أكبر من الطاقة
+
+245
+00:22:54,010 --> 00:22:57,550
+المطلوبة، وبالتالي بيصير عندي فائض في الطاقة
+
+246
+00:22:57,550 --> 00:23:00,150
+فالطاقة هذه بروح بخزنها وين؟
+
+247
+00:23:04,070 --> 00:23:10,090
+بخزنها في الـ flywheel، وبالتالي سرعة الـ
+
+248
+00:23:10,090 --> 00:23:16,550
+flywheel بتزيد، الآن من S لـ E، من S لـ E، الطاقة
+
+249
+00:23:16,550 --> 00:23:20,130
+المنتجة من الـ engine عبارة عن مساحة S سمول E
+
+250
+00:23:20,130 --> 00:23:24,350
+كابيتال A سمول، الطاقة المطلوبة من الـ load عبارة
+
+251
+00:23:24,350 --> 00:23:28,570
+عن مساحة S سمول E كابيتال F كابيتال E، هي أكبر،
+
+252
+00:23:28,570 --> 00:23:33,290
+العجز هيمثل مساحة E كابيتال F كابيتال E سمول
+
+253
+00:23:41,620 --> 00:23:46,340
+واضح في عندي fluctuation في، يعني الطاقة في تدبدب
+
+254
+00:23:46,340 --> 00:23:49,640
+حول الـ main resisting torque، معناته الـ
+
+255
+00:23:49,640 --> 00:23:51,840
+fluctuation of energy هو الـ variation of energy
+
+256
+00:23:51,840 --> 00:23:54,060
+above and below the main resisting torque، اللي هو
+
+257
+00:23:54,060 --> 00:23:58,000
+التدبدب في الطاقة هو التغير في الطاقة أعلى وأسفل
+
+258
+00:23:58,000 --> 00:24:03,600
+الـ main resisting torque line، الـ areas المساحات
+
+259
+00:24:05,070 --> 00:24:10,830
+بكابيتال بكابيتال بكابيتال بكابيتال بكابيتال بكابيتال
+
+260
+00:24:10,830 --> 00:24:15,170
+بكابيتال بكابيتال بكابيتال بكابيتال بكابيتال بكابيتال
+
+261
+00:24:15,170 --> 00:24:16,250
+بكابيتال بكابيتال بكابيتال بكابيتال بكابيتال بكابيتال
+
+262
+00:24:16,250 --> 00:24:16,290
+بكابيتال بكابيتال بكابيتال بكابيتال بكابيتال بكابيتال
+
+263
+00:24:16,290 --> 00:24:16,390
+بكابيتال بكابيتال بكابيتال بكابيتال بكابيتال بكابيتال
+
+264
+00:24:16,390 --> 00:24:18,050
+بكابيتال بكابيتال بكابيتال بكابيتال بكابيتال بكابيتال
+
+265
+00:24:18,050 --> 00:24:26,810
+بكابيتال بكابيتال بكابيتال بكابيتال بكابيتال بكابيتال
+
+266
+00:24:26,810 --> 00:24:31,930
+بكابيتال بكابيتال بكابيتال
+
+267
+00:24:35,470 --> 00:24:39,490
+متوقع أن الـ engine تكون الـ maximum speed بتاعتها
+
+268
+00:24:39,490 --> 00:24:45,050
+عند نقطة Q أو S، ممكن تكون السرعة تكون أقصى ما يمكن
+
+269
+00:24:45,050 --> 00:24:53,050
+عند Q أو عند S، معناته
+
+270
+00:24:53,050 --> 00:25:00,370
+الـ flywheel تمتص الطاقة الزائدة في الفترة من P لـ Q
+
+271
+00:25:00,370 --> 00:25:03,570
+وفي الفترة من R لـ S
+
+272
+00:25:07,510 --> 00:25:18,530
+الـ engine has minimum speed عند P أو عند R، في خلال
+
+273
+00:25:18,530 --> 00:25:24,010
+فترة هادئة، يعني الـ engine gives out جزء
+
+274
+00:25:24,010 --> 00:25:27,210
+من طاقته، بتخلي الـ flywheel بتتخلى عن جزء من طاقتها
+
+275
+00:25:27,210 --> 00:25:32,110
+عشان تعوض العجز في الفترة من A لـ P وفي الفترة من
+
+276
+00:25:32,110 --> 00:25:33,310
+Q لـ R
+
+277
+00:25:38,530 --> 00:25:41,850
+فيه هذا ما يسمى التذبذب الأعظم في الطاقة، الـ maximum
+
+278
+00:25:41,850 --> 00:25:43,650
+fluctuation of energy هي الـ difference between
+
+279
+00:25:43,650 --> 00:25:46,730
+maximum and minimum energies above and below the
+
+280
+00:25:46,730 --> 00:25:47,990
+mean resisting torque line
+
+281
+00:25:59,070 --> 00:26:01,910
+عندي مثال هنا، turning the ground for a multi
+
+282
+00:26:01,910 --> 00:26:03,830
+-cylinder engine، عندي multi-cylinder engine، عندي
+
+283
+00:26:03,830 --> 00:26:07,250
+engine متعدد الأسطوانات، أربعة سيلندر، ستة سيلندر،
+
+284
+00:26:07,250 --> 00:26:10,070
+ثمانية سيلندر، ممكن تصل لحد اثنين وثلاثين سيلندر
+
+285
+00:26:10,070 --> 00:26:13,070
+عندي.. عندي هنا الـ crank angle هي اللي يعني
+
+286
+00:26:13,070 --> 00:26:16,830
+turning from the ground، فعندي الـ A واحد.. A واحد
+
+287
+00:26:16,830 --> 00:26:21,780
+و A ثلاثة و A خمسة، بيكونوا هذه fluctuation above الـ
+
+288
+00:26:21,780 --> 00:26:25,600
+mean resisting torque line، يعني الـ A2 والـ A4 والـ
+
+289
+00:26:25,600 --> 00:26:28,460
+A6 energies below الـ mean resisting torque line
+
+290
+00:26:28,460 --> 00:26:31,660
+يعني في عندي fluctuation above، فهي above above في
+
+291
+00:26:31,660 --> 00:26:39,320
+عندي below وفي عندي below وفي عندي below line
+
+292
+00:26:39,320 --> 00:26:46,140
+A كابيتال G كابيتال هو يمثل الـ mean torque line، الـ
+
+293
+00:26:46,140 --> 00:26:52,890
+mean torque line، الـ A1 والـ A3 والـ A5 areas above
+
+294
+00:26:52,890 --> 00:26:58,270
+the mean torque line، والـ A2 والـ A4 والـ A6 اللي
+
+295
+00:26:58,270 --> 00:27:00,430
+هي areas below the mean torque line
+
+296
+00:27:06,390 --> 00:27:09,410
+الآن، how to determine the maximum fluctuation of
+
+297
+00:27:09,410 --> 00:27:14,210
+energy، لو فرضنا أن الـ energy in the flywheel عند
+
+298
+00:27:14,210 --> 00:27:19,030
+نقطة A، تساوي E، معناته عند B، عندها positive، عند
+
+299
+00:27:19,030 --> 00:27:26,120
+B هتكون E زائد A واحد، عند B هتكون E زائد A واحد، عند C
+
+300
+00:27:26,120 --> 00:27:34,360
+هتكون E زائد A1 ناقص A2، عند D هتكون E زائد A1 ناقص
+
+301
+00:27:34,360 --> 00:27:41,480
+A2 زائد A3، عند E هتكون، عند E الـ energy هتكون E زائد
+
+302
+00:27:41,480 --> 00:27:49,320
+A1 ناقص A2 زائد A3 ناقص A4، عند F هتكون هتكون E زائد
+
+303
+00:27:49,320 --> 00:27:56,590
+A1 ناقص A2 زائد A3 ناقص A4 زائد A5، عند G هترجع نفس الـ
+
+304
+00:27:56,590 --> 00:28:00,410
+E، طيب
+
+305
+00:28:00,410 --> 00:28:04,230
+suppose
+
+306
+00:28:04,230 --> 00:28:07,490
+that the greatest energy of these energies، طبعا
+
+307
+00:28:07,490 --> 00:28:11,710
+عندي energy عند A و B كابيتال و C كابيتال و D كابيتال
+
+308
+00:28:11,710 --> 00:28:14,630
+و E كابيتال و F كابيتال و G كابيتال، لو افترضنا أنه كانت
+
+309
+00:28:14,630 --> 00:28:19,470
+الـ energy is maximum عند B، وكانت، معناته الـ max
+
+310
+00:28:19,470 --> 00:28:24,150
+energy عند B هتكون E زائد A واحد، ولو فرضنا أن الـ
+
+311
+00:28:24,150 --> 00:28:29,030
+energy is minimum عند E، معناته الـ minimum energy
+
+312
+00:28:29,030 --> 00:28:33,170
+هتكون E زائد A واحد ناقص A اثنين زائد A
+
+313
+00:28:33,170 --> 00:28:36,620
+ثلاثة ناقص A أربعة، معناته الـ maximum fluctuation
+
+314
+00:28:36,620 --> 00:28:38,620
+in energy هو بيساوي الـ maximum energy in a
+
+315
+00:28:38,620 --> 00:28:41,120
+flywheel ناقص منه energy in a flywheel، هتكون
+
+316
+00:28:41,120 --> 00:28:44,860
+maximum energy ناقص منه energy، هتكون E زائد A1
+
+317
+00:28:44,860 --> 00:28:50,660
+ناقص، ناقصين، E زائد A1 ناقص A2 زائد A3 ناقص A4، هتطلع
+
+318
+00:28:50,660 --> 00:28:54,180
+بيساوي A2 ناقص A3 زائد A4
+
+319
+00:28:57,010 --> 00:29:00,910
+هنعرف معامل التذبذب في الطاقة، الـ coefficient of
+
+320
+00:29:00,910 --> 00:29:04,810
+fluctuation of energy، C، هي تساوي الـ maximum
+
+321
+00:29:04,810 --> 00:29:10,070
+fluctuation of energy على الـ work done per cycle، الـ
+
+322
+00:29:10,070 --> 00:29:13,470
+work done per cycle بيساوي الـ mean resisting
+
+323
+00:29:13,470 --> 00:29:16,930
+torque في الـ angle per cycle، اللي هي T mean في الـ
+
+324
+00:29:16,930 --> 00:29:20,490
+theta، الـ theta هي الـ angle turned in one
+
+325
+00:29:20,490 --> 00:29:23,330
+revolution، هي زاوية الدورة اللي بتدور على الكرانك في
+
+326
+00:29:23,330 --> 00:29:31,920
+one revolution، في حالة steam engine أو two stroke
+
+327
+00:29:31,920 --> 00:29:38,180
+internal combustion engine، في حالة محرك بخاري أو
+
+328
+00:29:38,180 --> 00:29:41,440
+two stroke، محرك احتراق داخلي، عبارة عن two stroke
+
+329
+00:29:41,440 --> 00:29:48,940
+الثاني بتكون تساوي 2 باي، في حالة محرك احتراق
+
+330
+00:29:48,940 --> 00:29:54,620
+داخلي أربعة أشواط، بتكون الـ T mean بتساوي P، الـ power
+
+331
+00:29:54,620 --> 00:29:59,620
+على Omega، والـ Omega هتكون اللي هي 2 Pi في N
+
+332
+00:29:59,620 --> 00:30:02,520
+على 60، يعني هتكون الـ T mean بتساوي P في 60 على
+
+333
+00:30:02,520 --> 00:30:03,360
+2 Pi في N
+
+334
+00:30:07,280 --> 00:30:11,480
+بشكل عام، في عندنا معادلة، الـ work done per cycle بتساوي
+
+335
+00:30:11,480 --> 00:30:14,920
+P كابيتال C كابيتال على N سمول، الـ N سمول بتساوي
+
+336
+00:30:14,920 --> 00:30:20,340
+number of working strokes per minute، في حالة في
+
+337
+00:30:20,340 --> 00:30:23,760
+محرك بخاري أو two stroke internal combustion engine
+
+338
+00:30:23,760 --> 00:30:30,840
+الـ N بتساوي، N سمول بتساوي N كابيتال
+
+339
+00:30:32,960 --> 00:30:36,600
+في حالة four stroke engine، الآن N سمول بس هو ان
+
+340
+00:30:36,600 --> 00:30:45,820
+كابيتال على اثنين، طيب
+
+341
+00:30:51,950 --> 00:30:56,450
+Table 16-1 معطيني الـ coefficient of fluctuation of
+
+342
+00:30:56,450 --> 00:31:00,590
+energy، المعامل تذبذب في الطاقة، لمجموعة مختلفة من
+
+343
+00:31:00,590 --> 00:31:04,910
+المحركات، يعني لو أخذنا على سبيل المثال، أخذنا
+
+344
+00:31:04,910 --> 00:31:09,510
+single cylinder single acting four stroke gas
+
+345
+00:31:09,510 --> 00:31:13,230
+engine، أخذنا محرك احتراق داخلي أربعة أشواط وبمكبس
+
+346
+00:31:13,230 --> 00:31:16,490
+واحد، أسطوانة واحدة، بيكون الـ coefficient of energy
+
+347
+00:31:16,490 --> 00:31:20,510
+coefficient of CE للـ engine، واحد فاصلة تسعة ثلاثة
+
+348
+00:31:20,820 --> 00:31:26,260
+لو أخذت نفس الشيء بس يعني بيعطيني single acting
+
+349
+00:31:26,260 --> 00:31:29,260
+four stroke gas engine، بس في عندي أربع أسطوانات
+
+350
+00:31:29,260 --> 00:31:33,840
+بيكون هذا اللي هو CE، 0.66، لو زوّد الأسطوانات لستة
+
+351
+00:31:33,840 --> 00:31:37,820
+بيصير 0.31، لو ثمانية بيقل وهكذا، فمعناته كل
+
+352
+00:31:37,820 --> 00:31:41,610
+ما زاد عدد الأسطوانات، كل ما قل التذبذب، عشان هيك
+
+353
+00:31:41,610 --> 00:31:43,830
+السيارات اللي بتكون مثلاً ثمانية.. ثمانية
+
+354
+00:31:43,830 --> 00:31:47,630
+cylinders بتكون صوتها أنعم بكثير من الأربع
+
+355
+00:31:47,630 --> 00:31:51,370
+cylinders اللي في عندك، المحرك احتراق الداخلي بتاع
+
+356
+00:31:51,370 --> 00:31:55,850
+الـ motorcycle بتكون مزعج كثير، صوته عالي، لأنه الـ
+
+357
+00:31:55,850 --> 00:32:01,490
+fluctuation of energy بتكون فيه عالية، طيب الـ
+
+358
+00:32:01,490 --> 00:32:07,300
+flywheel، الـ flywheel، شغلة هي عبارة عن
+
+359
+00:32:07,300 --> 00:32:11,860
+خزان للطاقة، الـ flywheel تشتغل كخزان للطاقة، بخزن
+
+360
+00:32:11,860 --> 00:32:15,260
+الطاقة اللي جاية.. الطاقة من الـ engine اللي جاية من الـ
+
+361
+00:32:15,260 --> 00:32:22,200
+engine على شكل طاقة حركة، الـ flywheel بتخزن الطاقة
+
+362
+00:32:22,200 --> 00:32:26,440
+لما يكون في عندي المحرك بينتج طاقة أكثر من اللي
+
+363
+00:32:26,440 --> 00:32:30,600
+لازم بخزنها في الـ flywheel، لما نكون في عندنا عجز في
+
+364
+00:32:30,600 --> 00:32:34,720
+الطاقة، يعني عندي الطاقة المنتجة من الـ engine أقل
+
+365
+00:32:34,720 --> 00:32:40,560
+من الطاقة المطلوبة من الـ load، الـ flywheel بتعطي
+
+366
+00:32:40,560 --> 00:32:44,200
+الـ load عشان.. فـ it releases energy، يعني عنده
+
+367
+00:32:44,200 --> 00:32:47,320
+خزانة بخزن فيها الطاقة اللي بكون عندي زيادة، وبأخذ
+
+368
+00:32:47,320 --> 00:32:49,340
+منها الطاقة لما أنا محتاج، في عندي عجز
+
+369
+00:32:53,070 --> 00:32:57,870
+in case of steam engines، في حالة المحركات البخارية
+
+370
+00:32:57,870 --> 00:33:03,730
+ومحركات الاحتراق الداخلية، وفي حالة الـ
+
+371
+00:33:03,730 --> 00:33:09,470
+compressors والمداخل، engine is developed during
+
+372
+00:33:09,470 --> 00:33:14,350
+one stroke، الطاقة
+
+373
+00:33:14,350 --> 00:33:19,290
+تنتج خلال شوط واحد، and engine is to run for the
+
+374
+00:33:19,290 --> 00:33:23,900
+whole cycle، الطاقة اللي بنتجها في one stroke هستفيد
+
+375
+00:33:23,900 --> 00:33:27,080
+منها في الـ other strokes، عند أربعة strokes، عند
+
+376
+00:33:27,080 --> 00:33:29,620
+stroke بنتج فيها طاقة، بنتج فيها طاقة كثيرة، وبأخذ
+
+377
+00:33:29,620 --> 00:33:32,640
+من الـ flywheel، في الـ other strokes محتاج طاقة بأخذها
+
+378
+00:33:32,640 --> 00:33:41,680
+من الـ flywheel، in
+
+379
+00:33:41,680 --> 00:33:44,720
+four stroke internal combustion engine، في حالة
+
+380
+00:33:44,720 --> 00:33:51,210
+محرك احتراق داخلي أربعة أشواط، أربعة أشواط، الطاقة تنتج
+
+381
+00:33:51,210 --> 00:33:59,320
+خلال اللي هي شوط الـ expansion، شوط التمدد، وكمية
+
+382
+00:33:59,320 --> 00:34:02,880
+الطاقة المتمددة بتكون كبيرة بحيث تكفي لل..
+
+383
+00:34:02,880 --> 00:34:05,660
+للأشواط الأخرى اللي هي الـ.. الـ suction والـ
+
+384
+00:34:05,660 --> 00:34:08,260
+compression والـ exhaust stroke، معناته أنا بنتج
+
+385
+00:34:08,260 --> 00:34:13,200
+طاقة بتكفيني لكل الأربعة أشواط، الطاقة بنتجها فقط في
+
+386
+00:34:13,200 --> 00:34:16,320
+الـ.. في الـ.. في الشوط فقط في الـ expansion، لكن ننسى أن
+
+387
+00:34:16,320 --> 00:34:18,860
+هنا في عندي suction stroke وعندي compression
+
+388
+00:34:18,860 --> 00:34:22,700
+stroke وعندي exhaust stroke فلازم أغطيهم بالطاقة
+
+389
+00:34:29,180 --> 00:34:31,660
+excess energy developed during power stroke، اللي
+
+390
+00:34:31,660 --> 00:34:35,660
+الطاقة الزائدة المنتجة خلال الـ power stroke هي يتم
+
+391
+00:34:35,660 --> 00:34:39,980
+تخزينها في الـ flywheel، و ثم تطلقها أو تتخلى عنها الـ
+
+392
+00:34:39,980 --> 00:34:44,600
+flywheel خلال الأشواط الأخرى اللي ما يكونش فيها
+
+393
+00:34:44,600 --> 00:34:48,700
+إنتاج للطاقة، وبالتالي thus rotating the crankshaft
+
+394
+00:34:48,700 --> 00:34:51,480
+at any form of speed، وبالتالي بحافظ أن الكرانك
+
+395
+00:34:51,480 --> 00:34:53,580
+
+445
+00:38:34,170 --> 00:38:38,610
+بيكون عندي الجزء هذا الـ shaft بتاع الـ engine الـ
+
+446
+00:38:38,610 --> 00:38:43,430
+shaft بتاع الـ crane بيكون يدور هذا بيكون إيش يدور
+
+447
+00:38:43,430 --> 00:38:52,010
+وعندي هنا كرة وهنا كرة نتيجة الدوران لو أنا بدي
+
+448
+00:38:52,010 --> 00:38:58,190
+أسرع، بصير قوة طرد مركزية تطرد الكرات لبرا، فلما طرد
+
+449
+00:38:58,190 --> 00:39:01,930
+الكرات لبرا،  الذراع هذا بينزل لتحت وهذا الذراع
+
+450
+00:39:01,930 --> 00:39:07,250
+بينزل لتحت، فبيسحب هذه الدورة الأعلى، ففيه عند الفتحة
+
+451
+00:39:07,250 --> 00:39:12,300
+اللي زي ما شايفنا على اليمين، هذه بتسكر أو بتفتح..
+
+452
+00:39:12,300 --> 00:39:16,280
+بتخلي فتحة الوقود أكثر أو أقل، وبالتالي أنا بتحكم
+
+453
+00:39:16,280 --> 00:39:20,080
+في كمية الوقود بالطريقة هذه.. هذه ما يسمى الـ
+
+454
+00:39:20,080 --> 00:39:23,560
+governor. خشوا على اليوتيوب هتشوفوا videos كتير
+
+455
+00:39:23,560 --> 00:39:26,940
+بتوضح الـ governor، بس إذا حطيتوا governor لحالة
+
+456
+00:39:26,940 --> 00:39:31,980
+هيبين إنكم الـ Trump والرؤساء وأردوغان ومش
+
+457
+00:39:31,980 --> 00:39:35,360
+عارفش، لأن الـ governor معناه تحكم.  كتبوا governor in
+
+458
+00:39:35,360 --> 00:39:37,720
+engine عشان تكونوا more specific.
+
+459
+00:39:42,510 --> 00:39:43,890
+عند تقليل المزيد من المزيد من المزيد من المزيد من
+
+460
+00:39:43,890 --> 00:39:44,530
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+461
+00:39:44,530 --> 00:39:45,270
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+462
+00:39:45,270 --> 00:39:47,350
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+463
+00:39:47,350 --> 00:39:47,790
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+464
+00:39:47,790 --> 00:39:49,330
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+465
+00:39:49,330 --> 00:39:50,130
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+466
+00:39:50,130 --> 00:39:51,610
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+467
+00:39:51,610 --> 00:39:52,070
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+468
+00:39:52,070 --> 00:39:56,530
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+469
+00:39:56,530 --> 00:39:57,710
+المزيد
+
+470
+00:40:01,830 --> 00:40:04,950
+طبعاً الـ governor هيكون موجود كتير في مولدات
+
+471
+00:40:04,950 --> 00:40:09,610
+الكهربا، مولدات الكهربا، أنا محتاج لـ frequency ثابتة
+
+472
+00:40:09,610 --> 00:40:13,450
+على الكهربا الناتجة، بدي أحسن في حدود خمسين هرتز أو
+
+473
+00:40:13,450 --> 00:40:17,390
+ستين هرتز، يختلف من بلد لبلد، معناته سرعة المحرك
+
+474
+00:40:17,390 --> 00:40:22,390
+سرعة المحرك لازم تكون ثابتة، هتكون على 1500 RPM
+
+475
+00:40:22,390 --> 00:40:26,590
+عشان تكون سرعة المحرك ثابتة لازم تكون عندك
+
+476
+00:40:26,590 --> 00:40:30,010
+governor. إذا زاد الـ load على المولد، مثلاً في الـ
+
+477
+00:40:30,010 --> 00:40:36,270
+load كان شايل عشرة كيلو وات وفجأة الـ load صار
+
+478
+00:40:36,270 --> 00:40:43,140
+خمسين، معناته إذا سبت الوضع كما هو عليه هتنزل السرعة
+
+479
+00:40:43,140 --> 00:40:44,860
+..هتنزل الـ frequency.. هتخرج الأجزاء الكهربائية
+
+480
+00:40:44,860 --> 00:40:47,240
+عندي، وبالتالي بيكون دي الـ governor. لما يزيد الـ
+
+481
+00:40:47,240 --> 00:40:49,980
+load بيروح بيزيد الوقود أكثر عشان يحافظ على نفس
+
+482
+00:40:49,980 --> 00:40:55,620
+السرعة، فالـ governor بنظم السرعة. إذا حد شاف مولدات
+
+483
+00:40:55,620 --> 00:41:00,680
+كتير منتشرة في غزة ممكن الواحد يتفرج.. يعني يتفرج
+
+484
+00:41:00,680 --> 00:41:02,980
+على الـ governor تشوفوا كيف بيشتغل على الطبيعة.
+
+485
+00:41:06,870 --> 00:41:10,470
+فيه هنعرف معامل التذبذب في السرعة، الـ maximum
+
+486
+00:41:10,470 --> 00:41:17,770
+fluctuation of speed هو الفرق بين الـ maximum والـ
+
+487
+00:41:17,770 --> 00:41:20,630
+minimum speed during a cycle. هو الفرق بين أقصى سرعة
+
+488
+00:41:20,630 --> 00:41:26,170
+وأقل سرعة خلال دورة. معامل التذبذب في الـ speed هو
+
+489
+00:41:26,170 --> 00:41:29,790
+النسبة بين الـ maximum fluctuation of speed على
+
+490
+00:41:29,790 --> 00:41:33,820
+السرعة المتوسطة. على الـ minimum speed. لو كان عندي الـ
+
+491
+00:41:33,820 --> 00:41:38,660
+max speed نرمز لها بالرمز N1 والـ min speed بالرمز
+
+492
+00:41:38,660 --> 00:41:44,900
+N2. السرعة المتوسطة N هتكون N1 زائد N2 على 2، و
+
+493
+00:41:44,900 --> 00:41:48,620
+الـ coefficient أو المعامل  تذبذب في السرعة CS
+
+494
+00:41:48,620 --> 00:41:52,920
+هتكون الـ maximum ناقص الـ minimum، N1 ناقص N2 على
+
+495
+00:41:52,920 --> 00:41:57,320
+N، وN عبارة عن N1 زائد N2 على 2. أو لو بدي أستخدم
+
+496
+00:41:57,320 --> 00:42:00,820
+ال وحدات الـ radians per second، بنستخدم ω1 ناقص
+
+497
+00:42:00,820 --> 00:42:04,460
+ω2 على ω، أو بنستخدم 2ω1 ناقص ω2
+
+498
+00:42:04,460 --> 00:42:08,580
+على ω1 زائد ω2. هذا معامل تذبذب في السرعة.
+
+499
+00:42:11,590 --> 00:42:14,470
+معامل تذبذب السرعة في الصراع is a limiting factor
+
+500
+00:42:14,470 --> 00:42:18,310
+in the design of flywheels. في تصميم الـ flywheels، الـ
+
+501
+00:42:18,310 --> 00:42:24,690
+CS is a limiting and important factor. الـ CS يختلف
+
+502
+00:42:24,690 --> 00:42:28,010
+depending upon the nature of service to which the
+
+503
+00:42:28,010 --> 00:42:30,870
+flywheel is employed. حسب الـ application. في بعض الـ
+
+504
+00:42:30,870 --> 00:42:34,650
+applications مش مشكلة لو كانت التغيّر في السرعة كبير.
+
+505
+00:42:34,650 --> 00:42:37,710
+في بعض الـ applications لأ، إذا كانت التغيّر في السرعة
+
+506
+00:42:37,710 --> 00:42:41,610
+كبير بيعمل لي مشكلة. فحسب الـ application بتعتمد الـ
+
+507
+00:42:41,610 --> 00:42:47,930
+design للـ flywheel. الآن معامل الثبات هو عكس معامل
+
+508
+00:42:47,930 --> 00:42:51,410
+التذبذب. معامل الثبات اللي هو N بيساوي واحد على CS، بيساوي
+
+509
+00:42:51,410 --> 00:43:01,410
+N الكبيرة على N1 ناقص N2. نرجع
+
+510
+00:43:01,410 --> 00:43:06,590
+ثاني للـ flywheel. When a flywheel absorbs energy لما
+
+511
+00:43:06,590 --> 00:43:12,130
+الـ flywheel تمتص طاقة سرعتها بتزيد، ولما تطلق
+
+512
+00:43:12,130 --> 00:43:16,950
+طاقة بتتخلى عن طاقة سرعتها، سرعتها بتقل. لو فرضنا أن
+
+513
+00:43:16,950 --> 00:43:22,050
+كتلة الـ flywheel نرمز لها بالرمز M، و الـ rate of
+
+514
+00:43:22,050 --> 00:43:27,190
+generation للـ flywheel بالرمز K، وI هي الـ mass of
+
+515
+00:43:27,190 --> 00:43:31,030
+the flywheel حول محور الدوران هتكون I بيساوي M في
+
+516
+00:43:31,030 --> 00:43:31,630
+K تربيع.
+
+517
+00:43:34,290 --> 00:43:37,490
+الـ flywheel اللي بتكون عبارة عن.. في عندي كتلة يعني
+
+518
+00:43:37,490 --> 00:43:41,570
+شكلها مدوّر، في عندي الكتلة الخارجية بيسموها الـ rim
+
+519
+00:43:41,570 --> 00:43:45,330
+وفي عندي في النص الـ hub، وفي عندي اللي هو هذه
+
+520
+00:43:45,330 --> 00:43:49,810
+الأضلع اللي هي الـ ribs. عندها rim.. rim اتنين أو
+
+521
+00:43:49,810 --> 00:43:52,450
+rib.. rib واحد.. rib اتنين.. rib أربعة ribs.
+
+522
+00:43:57,780 --> 00:44:00,900
+الـ main kinetic energy of flywheel.  flywheel is a
+
+523
+00:44:00,900 --> 00:44:03,800
+rotating body, it is in a pure rotation. معناته الـ
+
+524
+00:44:03,800 --> 00:44:06,760
+kinetic energy اللي هتكون نصف في I ω تربيع. هذا
+
+525
+00:44:06,760 --> 00:44:10,420
+الـ dynamics. هذا مش معلومة جديدة. الـ I عبارة عن الـ
+
+526
+00:44:10,420 --> 00:44:15,300
+MK تربيع. يعني هتكون نصف MK تربيع في ω تربيع. الـ
+
+527
+00:44:15,300 --> 00:44:17,600
+maximum fluctuation of energy، سواء الـ maximum
+
+528
+00:44:17,600 --> 00:44:20,120
+kinetic energy ناقص الـ minimum kinetic energy.
+
+529
+00:44:20,120 --> 00:44:23,800
+يعني هتكون نصف I ω1 تربيع لأن ω1
+
+530
+00:44:23,800 --> 00:44:29,260
+اللي هي الـ maximum speed ناقص نصف I ω2 تربيع.
+
+531
+00:44:29,260 --> 00:44:32,140
+لو أخدت نصف I على مشترك بيصير نصف I في ω1 تربيع
+
+532
+00:44:32,140 --> 00:44:35,420
+ناقص ω2 تربيع. هذه فرق بين المربعين يعني
+
+533
+00:44:35,420 --> 00:44:38,620
+هتكون نصف I في ω1 زائد ω2 في ω1 ناقص
+
+534
+00:44:38,620 --> 00:44:43,420
+ω2. لو ضربت البسط في 2 والمقام على 2 بتغيّر شيء.
+
+535
+00:44:43,420 --> 00:44:47,040
+أو أنا عندي هنا أو عندي هنا ω1 زائد ω2
+
+536
+00:44:47,040 --> 00:44:50,480
+على 2 هي الـ mean speed اللي هي هتكون ω. هتكون I
+
+537
+00:44:50,480 --> 00:44:56,700
+في ω في ω1 ناقص ω2. لو ضربت الـ.. الـ.. الـ البسط في ω وطرحته على
+
+538
+00:44:56,700 --> 00:45:00,440
+ω يصير I ω تربيع في ω1 ناقص ω2
+
+539
+00:45:00,440 --> 00:45:03,280
+على ω. يصير I ω تربيع في ω1 ناقص ω2
+
+540
+00:45:03,280 --> 00:45:06,560
+على ω.  ω1 ناقص ω2 على ω عبارة عن إيش؟ معامل تذبذب في
+
+541
+00:45:06,560 --> 00:45:09,260
+السرعة اللي هي الـ CS. يصير I ω تربيع في الـ CS.
+
+542
+00:45:09,260 --> 00:45:12,520
+الـ I عبارة عن  الـ mass في الـ radius of gyration MK تربيع
+
+543
+00:45:12,520 --> 00:45:16,160
+في ω تربيع في CS
+
+544
+00:45:19,590 --> 00:45:23,810
+الـ I عبارة عن الـ mass في الـ radius of gyration MK تربيع
+
+545
+00:45:23,810 --> 00:45:29,650
+في ω تربيع في CS. وعند
+
+546
+00:45:29,650 --> 00:45:33,690
+هنا احنا عارفين أن الـ main energy عبارة عن نصف
+
+547
+00:45:33,690 --> 00:45:38,190
+MK تربيع ω تربيع. هذا مش نصف، معناته هذا
+
+548
+00:45:38,190 --> 00:45:42,690
+هتكون 2E في الـ CS. يعني الـ ΔE بيساوي 2 في الـ
+
+549
+00:45:42,690 --> 00:45:46,190
+main energy في معامل التذبذب في السرعة.
+
+550
+00:45:49,140 --> 00:45:53,200
+As an approximation, radius of gyration may be
+
+551
+00:45:53,200 --> 00:45:56,660
+taken equal to mean radius of the rim. Radius of
+
+552
+00:45:56,660 --> 00:46:02,480
+gyration. ΔE بيساوي اللي هو نعتبر أن الـ K
+
+553
+00:46:02,480 --> 00:46:06,320
+بيساوي R. اللي هي MR تربيع في ω تربيع في CS.
+
+554
+00:46:06,320 --> 00:46:10,940
+نحّل
+
+555
+00:46:10,940 --> 00:46:11,500
+الـ examples.
+
+556
+00:46:34,600 --> 00:46:38,320
+The mass of a flywheel of an engine is ستة ونصف طن
+
+557
+00:46:38,320 --> 00:46:44,320
+في عندي flywheel وزنها، كتلتها، الـ mass بس
+
+558
+00:46:44,320 --> 00:46:49,620
+ستة ونصف طن يعني ستة آلاف وخمسمائة كيلو جرام. الـ
+
+559
+00:46:49,620 --> 00:46:55,160
+flywheel، والـ rate of generation بتاعتها K بيساوي
+
+560
+00:46:55,160 --> 00:47:00,360
+واحد وثمانية وعشرة متر. It is found from the
+
+561
+00:47:00,360 --> 00:47:02,500
+turning moment diagram that the fluctuation of
+
+562
+00:47:02,500 --> 00:47:10,440
+energy ΔE معطينيها بيساوي ستة وخمسين كيلو
+
+563
+00:47:10,440 --> 00:47:20,020
+نيوتن متر. If mean speed of the engine N بيساوي مئة
+
+564
+00:47:20,020 --> 00:47:21,580
+وعشرين rpm.
+
+565
+00:47:25,190 --> 00:47:29,950
+Find maximum and minimum speed. يعني بده N1 وN
+
+566
+00:47:29,950 --> 00:47:35,950
+2. هنحسب
+
+567
+00:47:35,950 --> 00:47:43,490
+N1، N1، وN2. الآن أنا عندي أول شيء Δ
+
+568
+00:47:43,490 --> 00:47:46,990
+E، Δ
+
+569
+00:47:46,990 --> 00:47:51,050
+E بتساوي
+
+570
+00:47:57,210 --> 00:48:07,630
+MK تربيع ω تربيع في الـ CS. الـ
+
+571
+00:48:07,630 --> 00:48:11,150
+ΔE معروفة، والـ M معروفة، والـ K معروفة، والـ ω
+
+572
+00:48:11,150 --> 00:48:15,670
+الـ ω، يعني دي هي الـ ω، هتكون تساوي مئة و
+
+573
+00:48:15,670 --> 00:48:24,710
+عشرين في 2π على 60، يعني هتكون 4π
+
+574
+00:48:27,060 --> 00:48:33,400
+radians per second. يعني إن هتكون معناته الـ CS
+
+575
+00:48:33,400 --> 00:48:43,440
+بيساوي ΔE على MK تربيع ω تربيع. Δ
+
+576
+00:48:43,440 --> 00:48:45,740
+E اللي هي ستة وخمسين كيلو نيوتن متر يعني ستة و
+
+577
+00:48:45,740 --> 00:48:52,780
+خمسين في الألف على الـ M عندي ستة آلاف وخمسمائة
+
+578
+00:48:55,270 --> 00:49:05,270
+والـ K واحد وثمانية وعشرة تربيع، والـ ω أربعة
+
+579
+00:49:05,270 --> 00:49:12,850
+π تربيع يعني في 16π تربيع. وبنحسب الـ CS. طيب
+
+580
+00:49:12,850 --> 00:49:25,220
+الـ CS عبارة عن N1 ناقص N2 على N. معناته
+
+581
+00:49:25,220 --> 00:49:33,900
+عندي N1 ناقص N2 هتساوي CS في N اللي هي
+
+582
+00:49:33,900 --> 00:49:38,340
+عند الـ CS اللي هي، هذا حسبناها. N اللي هي مئة و
+
+583
+00:49:38,340 --> 00:49:42,520
+عشرين هتكون تساوي مئة
+
+584
+00:49:42,520 --> 00:49:44,800
+وعشرين. هنحسب هذا.
+
+585
+00:49:57,710 --> 00:50:03,110
+الـ CS 650 × 1000 ÷
+
+586
+00:50:03,110 --> 00:50:23,550
+6500 ÷ بتطلع
+
+587
+00:50:23,550 --> 00:50:24,310
+0.1
+
+588
+00:50:27,590 --> 00:50:35,630
+أو 0.169 أو
+
+589
+00:50:35,630 --> 00:50:45,970
+0.169 أو 0.169 أو
+
+590
+00:50:45,970 --> 00:50:54,830
+0.169 أو 0.23. طيب هم يعطيني معلومة
+
+591
+00:50:54,830 --> 00:50:58,270
+ثانية بيحكي لي الـ min speed بيساوي الـ N1 يعني الـ
+
+592
+00:50:58,270 --> 00:51:05,830
+N بيساوي N1 زائد N2 على 2، معناه أن N
+
+593
+00:51:05,830 --> 00:51:12,670
+1 زائد N2 هتكون 2N بيساوي 240
+
+594
+00:51:12,670 --> 00:51:19,640
+. هاي معادلة واحدة. وهذه معادلة إيش؟
+
+595
+00:51:19,640 --> 00:51:27,320
+اتنين الآن.
+
+596
+00:51:27,320 --> 00:51:35,560
+نجمع المعادلة واحد مع اتنين. واحد زائد اتنين هتصير
+
+597
+00:51:35,560 --> 00:51:39,740
+دي N1 مع N1، اتنين N1. N2 بتروح، يصير
+
+598
+00:51:39,740 --> 00:51:44,220
+دي 2N1 هيساوي
+
+599
+00:51:44,220 --> 00:51:46,960
+242 و2
+
+600
+00:52:07,650 --> 00:52:15,710
+N1+N2
+
+601
+00:52:17,960 --> 00:52:24,160
+هتكون 242 ناقص 120.0
+
+602
+00:52:24,160 --> 00:52:34,760
+1، يعني هتكون 242 ناقص
+
+603
+00:52:34,760 --> 00:52:40,580
+120.01، بتطلع 121.99.
+
+604
+00:52:47,910 --> 00:52:54,430
+معناته إحنا وجدنا N1 وN2. شوف
+
+605
+00:52:54,430 --> 00:52:55,310
+example ثاني.
+
+606
+00:53:19,240 --> 00:53:24,900
+عند flywheel في محرك بخاري، الـ radius of gyration بتاعها K
+
+607
+00:53:24,900 --> 00:53:32,340
+بيساوي واحد متر وكتلتها
+
+608
+00:53:32,340 --> 00:53:38,120
+الـ mass ألفين وخمسمائة كيلو جرام.
+
+609
+00:53:44,090 --> 00:53:52,230
+is 1500 Nm and may be assumed constant. الـ T mean
+
+610
+00:53:52,230 --> 00:53:59,810
+constant عبارة 1500 Nm.
+
+611
+00:53:59,810 --> 00:54:05,710
+Determine the angular acceleration of the flywheel.
+
+612
+00:54:05,710 --> 00:54:11,450
+فالـ flywheel عليها torque
+
+613
+00:54:14,980 --> 00:54:21,300
+مين نتيجة الـ torque. حصيلة اللي هي الـ acceleration. I
+
+614
+00:54:21,300 --> 00:54:28,600
+في α. معناته T mean بيساوي
+
+615
+00:54:28,600 --> 00:54:36,740
+I في α. يعني وI عبارة عن MK تربيع. في α.
+
+616
+00:54:36,740 --> 00:54:43,630
+معناته الـ α هتكون تساوي T mean على MK تربيع.
+
+617
+00:54:43,630 --> 00:54:55,910
+الـ T mean عندي 1500 على الـ M 2500 في 1 تربيع، يعني
+
+618
+00:54:55,910 --> 00:55:03,870
+هتكون 0.6 radian
+
+619
+00:55:03,870 --> 00:55:07,250
+per second squared.
+
+620
+00:55:10,70
+
+667
+01:01:01,690 --> 01:01:07,810
+cycle ال
+
+668
+01:01:07,810 --> 01:01:16,010
+work في ال cycle ال
+
+669
+01:01:16,010 --> 01:01:21,610
+work في ال cycle عبارة
+
+670
+01:01:21,610 --> 01:01:21,870
+عن
+
+671
+01:01:28,890 --> 01:01:33,590
+أو بالساوية ال power في
+
+672
+01:01:33,590 --> 01:01:46,030
+ستين على N ممكن أن أبسطها أكثر بالساوية ال work
+
+673
+01:01:46,030 --> 01:01:52,790
+done per cycle بالساوية التمين في
+
+674
+01:01:52,790 --> 01:01:53,170
+ال theta
+
+675
+01:02:03,030 --> 01:02:09,270
+والـ Theta في حالة steam engine بيستوى 2 Pi معناته
+
+676
+01:02:09,270 --> 01:02:22,890
+W الساكل بيستوى T mean بيستوى 2 Pi وT mean بيستوى
+
+677
+01:02:22,890 --> 01:02:28,210
+Power على Omega بيستوى P
+
+678
+01:02:31,400 --> 01:02:38,380
+في ستين على اتنين by في أيش في N capital يعني
+
+679
+01:02:38,380 --> 01:02:42,880
+بيصير ال W cycle ال
+
+680
+01:02:42,880 --> 01:02:54,480
+W ال cycle هتساوي ال T main اللي هي P في ستين على
+
+681
+01:02:54,480 --> 01:03:03,730
+اتنين by في N في ال theta في اتنين by يعني هتكون P
+
+682
+01:03:03,730 --> 01:03:11,670
+في ستين على N capital يعني ال power عندي كانت
+
+683
+01:03:11,670 --> 01:03:19,830
+ثلاثمائة كل وقت يعني ثلاثمائة في الألف في ستين على ال N
+
+684
+01:03:19,830 --> 01:03:29,730
+ما عطينيها تسعين سفر عندي سفر مع سفر ثلاثة اثنين
+
+685
+01:03:29,730 --> 01:03:35,070
+ثلاثة ثلاثة مئة يعني هيكون ال W بالضبط كان
+
+686
+01:03:35,070 --> 01:03:44,790
+عندي هاي اثنين في مئة مئتين ألف مئتين ألف نيوتن متر
+
+687
+01:03:44,790 --> 01:03:47,230
+هذا ال work per
+
+688
+01:03:51,340 --> 01:03:57,300
+معطيني ال CE معناته أن عندي Delta E Delta E هتكون
+
+689
+01:03:57,300 --> 01:04:03,660
+ساوية CE في ال work per cycle ال CE معطينيها point
+
+690
+01:04:03,660 --> 01:04:10,020
+one في مئتين ألف بالسيرة
+
+691
+01:04:10,020 --> 01:04:15,040
+عندي ساوة عشرين ألف نيوتن
+
+692
+01:04:15,040 --> 01:04:25,190
+مترو ال delta E نرجع نروح نشوفها ال
+
+693
+01:04:25,190 --> 01:04:33,710
+delta E بالساوية
+
+694
+01:04:33,710 --> 01:04:37,330
+M K
+
+695
+01:04:37,330 --> 01:04:46,360
+square Omega square في ال CS يعني ال Mعشان كنت
+
+696
+01:04:46,360 --> 01:04:53,220
+أُسوي delta E على K square omega square في ال CS
+
+697
+01:04:53,220 --> 01:05:01,480
+يعني ال delta E يعني دي عشرين ألف على
+
+698
+01:05:01,480 --> 01:05:09,420
+K square وين K ما عطيني ال K هو ما عطيني
+
+699
+01:05:09,420 --> 01:05:10,240
+ال rate of variation
+
+700
+01:05:15,670 --> 01:05:20,990
+اثنين على كسكوير في أربعة على أربعة والأوميجا عندي
+
+701
+01:05:20,990 --> 01:05:28,670
+ثلاثة باي على تسعة باي تربيع و ال CS ال CS اللي
+
+702
+01:05:28,670 --> 01:05:34,010
+هي point O واحد تطلع
+
+703
+01:05:34,010 --> 01:05:39,910
+ال ال mass عشرين
+
+704
+01:05:39,910 --> 01:05:40,350
+ألف
+
+705
+01:05:43,230 --> 01:05:58,650
+تقسيم أربعة تقسيم تسعة تقسيم تطلع
+
+706
+01:05:58,650 --> 01:06:03,370
+خمسة آلاف وستمائة وخمسة وثلاثين خمسة آلاف وستمائة وخمسة
+
+707
+01:06:03,370 --> 01:06:09,710
+وثلاثين كيلو غرام يعني حوالي خمسة وستة من عشرة طن
+
+708
+01:06:09,710 --> 01:06:12,230
+خمسة وستة من عشرة طن
+
+709
+01:06:21,110 --> 01:06:38,510
+طيب حل مثال ثاني
+
+710
+01:06:38,510 --> 01:06:42,430
+turning on the ground for a petrol engine is drawn
+
+711
+01:06:42,430 --> 01:06:45,730
+to following scales في عندي turning on the ground
+
+712
+01:06:48,060 --> 01:06:58,340
+turning moment diagram لمحرك هذا هو عند
+
+713
+01:06:58,340 --> 01:07:05,840
+هنا ال crank angle وهنا turning moment to
+
+714
+01:07:05,840 --> 01:07:12,060
+the following scales turning moment كل
+
+715
+01:07:12,060 --> 01:07:15,940
+واحد من اللي بيستوى كل واحد من اللي كل واحد من
+
+716
+01:07:15,940 --> 01:07:16,120
+اللي
+
+717
+01:07:20,770 --> 01:07:29,130
+يعادل خمسة نيوتن متر turning moment وكل واحد من
+
+718
+01:07:29,130 --> 01:07:33,430
+اللي على ال x axis في الواحد من اللي على ال x axis
+
+719
+01:07:33,430 --> 01:07:39,930
+يعادل واحد درجة turning moment diagram repeats
+
+720
+01:07:39,930 --> 01:07:42,510
+itself at every half revolution of
+
+721
+01:07:45,290 --> 01:07:48,290
+of the engine and areas above and below mean
+
+722
+01:07:48,290 --> 01:07:52,330
+turning moment line taken in order are 295, 685,
+
+723
+01:07:52,530 --> 01:07:54,930
+40, 340, 960, 290, 
+
+724
+01:07:54,930 --> 01:07:55,150
+
+725
+01:07:55,150 --> 01:07:56,970
+
+726
+01:07:56,970 --> 01:07:58,830
+
+727
+01:07:58,830 --> 01:07:58,850
+
+728
+01:07:58,850 --> 01:08:00,850
+
+729
+01:08:00,850 --> 01:08:00,930
+
+730
+01:08:00,930 --> 01:08:00,970
+
+731
+01:08:00,970 --> 01:08:04,050
+
+732
+01:08:18,240 --> 01:08:22,940
+rotating parts are equivalent to a mass of 36
+
+733
+01:08:22,940 --> 01:08:26,420
+kilogram at a radius of gyration كل ال mass اللي
+
+734
+01:08:26,420 --> 01:08:32,640
+بتدور كتلة 36 kilogram و radius of gyration K
+
+735
+01:08:32,640 --> 01:08:41,380
+معطينيها 150 millimeter 150 millimeter determine
+
+736
+01:08:41,380 --> 01:08:43,440
+the coefficient of fluctuation of speed with the
+
+737
+01:08:43,440 --> 01:08:43,660
+CS
+
+738
+01:08:48,130 --> 01:08:51,630
+when the engine runs لما يكون عندك ال N mean speed
+
+739
+01:08:51,630 --> 01:09:01,510
+N سواء ألف ومئتين rpm طيب
+
+740
+01:09:01,510 --> 01:09:06,830
+بدأ
+
+741
+01:09:06,830 --> 01:09:12,270
+أوجد أن باختصار فكرة الحل أنني أوجد ال delta E
+
+742
+01:09:12,270 --> 01:09:21,970
+بدأ أوجد delta E بدأ أحكي delta E بسوء M K Square
+
+743
+01:09:21,970 --> 01:09:29,490
+Omega Square في ال CS لأن لازم أوجد دلتا أنا ال M
+
+744
+01:09:29,490 --> 01:09:33,850
+معروفة عندي و ال K معروفة و ال Omega ال Omega بسوء
+
+745
+01:09:33,850 --> 01:09:43,050
+الألف ومئتين في اثنين باي على ستين هتساوي ثلاثين
+
+746
+01:09:43,050 --> 01:09:43,690
+في اثنين
+
+747
+01:09:46,660 --> 01:09:50,540
+عندك ستين ألف الميان ستين ثلاثين ثلاثين في اثنين
+
+748
+01:09:50,540 --> 01:10:00,600
+ستين ستين باي ال omega radians per second معناته
+
+749
+01:10:00,600 --> 01:10:02,940
+مطلوب أعرف إيه من ال time on the ground بتاع أعرف
+
+750
+01:10:02,940 --> 01:10:05,340
+ال delta إيه
+
+751
+01:10:14,510 --> 01:10:19,530
+الآن سأفترض أن ال
+
+752
+01:10:19,530 --> 01:10:27,250
+e عند a أبدأ أحكي ال point و
+
+753
+01:10:27,250 --> 01:10:32,010
+ال a عند
+
+754
+01:10:32,010 --> 01:10:36,050
+a أبدأ
+
+755
+01:10:36,050 --> 01:10:42,890
+أفترض عند a اللي هي أي أنا أيّا أيّ ال energy عند b
+
+756
+01:10:44,550 --> 01:10:51,890
+هتكون e زائد 295 and
+
+757
+01:10:51,890 --> 01:10:58,170
+c هتطرح
+
+758
+01:10:59,060 --> 01:11:01,580
+مئتين وخمسة وتسعين ناقص ستمائة وخمسة وثمانين يعني
+
+759
+01:11:01,580 --> 01:11:04,280
+هتكون مئتين وخمسة وتسعين أ زائد مئتين وخمسة وتسعين
+
+760
+01:11:04,280 --> 01:11:10,620
+ناقص ستمائة وخمسة وثمانين مئتين وخمسة وتسعين ناقص
+
+761
+01:11:10,620 --> 01:11:19,160
+ستمائة وخمسة وثمانين هتكون أ ناقص ثلاثمائة وتسعين
+
+762
+01:11:19,160 --> 01:11:27,560
+عندي أطرح الأربعين زائد أربعين
+
+763
+01:11:29,470 --> 01:11:38,930
+E ناقص ثلاثمائة وخمسين عند E أطرح ثلاثمائة وأربعين
+
+764
+01:11:38,930 --> 01:11:47,870
+ناقص ثلاثمائة وأربعين يساوي E ناقص
+
+765
+01:11:47,870 --> 01:11:55,470
+ثلاثمائة وثلاثين عند F عند
+
+766
+01:11:55,470 --> 01:12:05,130
+F أضيف لها تسعمائة وستين زائد تسعمائة وستين هتكون E
+
+767
+01:12:05,130 --> 01:12:09,190
+زائد
+
+768
+01:12:09,190 --> 01:12:15,930
+مئتين وسبعين عن G أطرح منها مئتين وسبعين بالصف E
+
+769
+01:12:15,930 --> 01:12:20,890
+معناته ال energy وين maximum ال energy maximum عند
+
+770
+01:12:20,890 --> 01:12:24,530
+B هي دي ال maximum
+
+771
+01:12:27,720 --> 01:12:41,360
+وين minimum و E معناته
+
+772
+01:12:41,360 --> 01:12:52,780
+Delta A هتكون تساوي Delta
+
+773
+01:12:52,780 --> 01:12:57,100
+A هتكون E Max
+
+774
+01:13:00,390 --> 01:13:10,170
+ناقص E minimum هتساوي اللي هي E زائد 295 E زائد 295
+
+775
+01:13:10,170 --> 01:13:17,690
+ناقص E ناقص
+
+776
+01:13:17,690 --> 01:13:27,550
+690 يعني هتساوي هتروح ال E مع ال E 295 زائد 295
+
+777
+01:13:31,170 --> 01:13:37,390
+زائد ستمائة وتسعين زائد ستمائة وتسعين تسعمائة وخمسة
+
+778
+01:13:37,390 --> 01:13:45,270
+وثمانين تسعمائة
+
+779
+01:13:45,270 --> 01:13:50,890
+وخمسة وثمانين انتبه
+
+780
+01:13:50,890 --> 01:13:58,380
+مليمتر مربع هتكون هذه أبدأ أحولها كل مليمتر واحد
+
+781
+01:13:58,380 --> 01:14:04,480
+مليمتر على ال turning moment scale خمسة نيوتن
+
+782
+01:14:04,480 --> 01:14:12,220
+يعني هتكون تسعمائة وخمسة وثمانين في خمسة نيوتن متر
+
+783
+01:14:12,220 --> 01:14:15,900
+وكل واحد مليمتر عبارة عن one degree ال one
+
+784
+01:14:15,900 --> 01:14:22,120
+degree في ال radians الآن ال
+
+785
+01:14:22,120 --> 01:14:30,180
+pi عبارة عن مئة وثمانين درجة يعني الدرجة ال باي ال
+
+786
+01:14:30,180 --> 01:14:38,500
+180 درجة equivalent ل باي الدرجة هي 1 في باي على
+
+787
+01:14:38,500 --> 01:14:44,760
+180 يعني عشان أحولها ل نيوتن متر حسب أن تستخدم
+
+788
+01:14:44,760 --> 01:14:49,140
+985 في
+
+789
+01:14:49,140 --> 01:14:55,160
+5 في باي تقسيم 180
+
+790
+01:14:57,460 --> 01:15:03,420
+تطلع خمسة و ثمانين بوينت تسعة واحد أربعة خمسة و ثمانين
+
+791
+01:15:03,420 --> 01:15:07,820
+النيوتن
+
+792
+01:15:07,820 --> 01:15:12,780
+متر معناته أن عرفت ال delta E لأن ال CS عندها
+
+793
+01:15:12,780 --> 01:15:22,320
+تكون Delta E على M K Square Omega Square Delta E
+
+794
+01:15:22,320 --> 01:15:28,800
+عند خمسة وثمانين بوينت تسعة واحد أربعة على ال mass ستة
+
+795
+01:15:28,800 --> 01:15:34,500
+وثلاثين كيلو في ال k اللي هي بوينت واحد خمسة تربيع
+
+796
+01:15:34,500 --> 01:15:43,840
+على ال omega اللي هي ستين باي ستين باي الكل تربيع
+
+797
+01:15:43,840 --> 01:15:45,400
+ستطلع النتيجة أن ده
+
+798
+01:15:49,360 --> 01:15:52,820
+يعني أنا هاكذا عندي خمسة وثمانين خمسة وثمانين
+
+799
+01:15:52,820 --> 01:16:00,200
+بوينت تسعة واحد أربعة تقسيم ستة وثلاثين تقسيم
+
+800
+01:16:00,200 --> 01:16:04,260
+بوينت واحد خمسة تقسيم بوينت واحد خمسة
+
+801
+01:16:23,930 --> 01:16:35,930
+الـ CS هو Delta E على
+
+802
+01:16:35,930 --> 01:16:46,110
+M كتر بيها الـ M 36 آه
+
+803
+01:16:46,110 --> 01:16:52,400
+في غلط يعني سيكون خمسة وثمانين بوينت تسعة واحد
+
+804
+01:16:52,400 --> 01:17:04,000
+أربعة تقسيم ستة وثلاثين تقسيم بوينت واحد خمسة
+
+805
+01:17:04,000 --> 01:17:13,960
+تطلع
+
+806
+01:17:13,960 --> 01:17:22,010
+بوينت O O ثلاثة بوينت O وثلاثة هذا التذبذب في
+
+807
+01:17:22,010 --> 01:17:28,330
+السرعة بوينت O O ثلاثة هذا طبعاً في examples كثيرة
+
+808
+01:17:28,330 --> 01:17:34,510
+يعني في عند أتوقع تحلوها مع المعيد خلي شيء للمعيد
+
+809
+01:17:34,510 --> 01:17:41,670
+ماشي في تفاصيل كثيرة اقرأوها في الكتاب طبعاً
+
+810
+01:17:41,670 --> 01:17:44,750
+المحاضرة القادمة نكمل أعطيكم العافية
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/6YTti85ZwJU_postprocess.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/6YTti85ZwJU_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e3d8bdc44ed2179bb24fc0edda95bf123e64ac93
--- /dev/null
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@@ -0,0 +1,3240 @@
+1
+00:00:05,260 --> 00:00:07,900
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,900 --> 00:00:12,240
+وبركاته اليوم هنبدأ chapter جديد في مادة نظرية
+
+3
+00:00:12,240 --> 00:00:16,160
+الألات العنوان ال chapter هو turning moment
+
+4
+00:00:16,160 --> 00:00:25,960
+diagrams and flywheels خلينا
+
+5
+00:00:25,960 --> 00:00:31,000
+طبعا هنتعرف على بعض ال definitionsأول الشيء ايش هو
+
+6
+00:00:31,000 --> 00:00:33,660
+ال turning moment diagram ال turning moment
+
+7
+00:00:33,660 --> 00:00:38,380
+diagram هو تمثيل graphical representation ل
+
+8
+00:00:38,380 --> 00:00:44,700
+turning moment عند الكرانك لمواضيع مختلفة من زاوية
+
+9
+00:00:44,700 --> 00:00:47,440
+الدوران للكرانك يعني ال turning moment diagram هو
+
+10
+00:00:47,440 --> 00:00:51,380
+graphical representation of the turning moment or
+
+11
+00:00:51,380 --> 00:00:55,880
+crank effort for various positions of the crank
+
+12
+00:00:55,880 --> 00:00:57,700
+هذا ال turning moment diagram
+
+13
+00:01:01,200 --> 00:01:04,680
+انبين عندي هنا ال turning moment diagram for a
+
+14
+00:01:04,680 --> 00:01:09,540
+single cylinder double acting steam engine هذا ال
+
+15
+00:01:09,540 --> 00:01:14,100
+turning moment diagram لمحرك بخاري بيشتغل في
+
+16
+00:01:14,100 --> 00:01:17,760
+الاتجاهين مكون من أسطوان واحدة single cylinder
+
+17
+00:01:17,760 --> 00:01:22,620
+double acting steam engine على المحور الأفقي انبين
+
+18
+00:01:22,620 --> 00:01:27,520
+عندي زاوية الدوران لل crank ل crank angleعلى
+
+19
+00:01:27,520 --> 00:01:30,620
+المحور الرأسي اللي هي ال turning moment طبعا ال
+
+20
+00:01:30,620 --> 00:01:36,600
+turning moment بتختلف .. بتختلف باختلاف ال ..
+
+21
+00:01:36,600 --> 00:01:42,460
+باختلاف الزاوية عنده handicrank angleالدورة بتاعة
+
+22
+00:01:42,460 --> 00:01:46,160
+ال steam engine للمحرك البخاري بتكون تلاتمية و
+
+23
+00:01:46,160 --> 00:01:50,780
+ستين درجة و بيكون في عندى two working strokes
+
+24
+00:01:50,780 --> 00:01:56,600
+واحدة two working strokes يعني
+
+25
+00:01:56,600 --> 00:01:59,940
+في الاتجاه هنا هو طالع من ال top dead center ل ال
+
+26
+00:01:59,940 --> 00:02:01,740
+bottom dead center هاي working stroke و في another
+
+27
+00:02:01,740 --> 00:02:03,720
+working stroke من ال bottom dead center ل ال top
+
+28
+00:02:03,720 --> 00:02:06,020
+dead center بيكون عندى another working stroke
+
+29
+00:02:06,020 --> 00:02:10,960
+لحظوا ال variation ل ال torque الناتج
+
+30
+00:02:13,670 --> 00:02:17,790
+متغير مع الزاوية ال T mean هذا اللي هي ال main
+
+31
+00:02:17,790 --> 00:02:20,790
+resisting torque اللي انا فيه عند ال load بيكون
+
+32
+00:02:20,790 --> 00:02:25,830
+موجود على ال crank بيكون قيمته ثابتة بيكون قيمته
+
+33
+00:02:25,830 --> 00:02:30,890
+ثابتة زي ما انتوا ملاحظين بعض احيان ال resulting
+
+34
+00:02:30,890 --> 00:02:35,850
+torque الناتج عن ال pressure at the cylinder بيكون
+
+35
+00:02:35,850 --> 00:02:40,010
+اعلى من اعلى من ال main torque وبعض احيان بيكون
+
+36
+00:02:40,010 --> 00:02:41,150
+بيكون اقل
+
+37
+00:02:44,450 --> 00:02:48,590
+الـ tearing moment على الكرانك شافت هذا المعادلة
+
+38
+00:02:48,590 --> 00:02:53,850
+درسناها في شبتر خمستاشر بالسواء FP في R sin θ في
+
+39
+00:02:53,850 --> 00:02:57,490
+زائد sin 2 θ على اتنين جزي تربيع على N تربيع ناقص
+
+40
+00:02:57,490 --> 00:03:02,690
+sin تربيع في ثتا ال FP ال piston effort هو ال net
+
+41
+00:03:02,690 --> 00:03:09,130
+force الناجة عن ال pressure بتاع البخار الناجة عن
+
+42
+00:03:09,130 --> 00:03:15,610
+ال pressure بتاع البخارو ال inertia forces و ال
+
+43
+00:03:15,610 --> 00:03:19,450
+friction هي ال net force .. ال .. ال .. ال .. ال
+
+44
+00:03:19,450 --> 00:03:24,310
+.. ال piston effort هي ال net force الناتج عن ال
+
+45
+00:03:24,310 --> 00:03:28,550
+pressure forces من البخار و ال inertia forces ل ال
+
+46
+00:03:28,550 --> 00:03:33,450
+reciprocating masses و ال friction وهذا درسناها
+
+47
+00:03:33,450 --> 00:03:37,510
+برضه بشكتر خمستاشر ال R ال radius للكرانك ال theta
+
+48
+00:03:37,510 --> 00:03:43,000
+لكرانك angleو ال N اللي هي النسبة بين طول ال
+
+49
+00:03:43,000 --> 00:03:47,360
+connecting rod و ال crank ال L على R اللي هي طول
+
+50
+00:03:47,360 --> 00:03:56,060
+ال connecting rod و ال R هي نصف قطر ال crank ال
+
+51
+00:03:56,060 --> 00:04:03,020
+out stroke عبارة عن curve ABC ال curve ABC هذه ال
+
+52
+00:04:03,020 --> 00:04:06,260
+stroke اللي هي 180 درجة اللي بيكون عندك ال piston
+
+53
+00:04:06,260 --> 00:04:11,530
+طالعمن ال top dead center لل bottom dead center
+
+54
+00:04:11,530 --> 00:04:18,150
+اللي هي ال out stroke ال N stroke بتكون الفترة بين
+
+55
+00:04:18,150 --> 00:04:23,690
+ال bottom dead center لل top dead center اللي هي
+
+56
+00:04:23,690 --> 00:04:30,070
+CDE معناته في ال double acting single cylinder
+
+57
+00:04:30,070 --> 00:04:36,970
+steam engine بيكون دي out strokeوعندي n stroke out
+
+58
+00:04:36,970 --> 00:04:43,910
+stroke و n stroke الشغل
+
+59
+00:04:43,910 --> 00:04:47,090
+المفروض work done بستوى turning moment في الزاوية
+
+60
+00:04:47,090 --> 00:04:51,290
+الشغل عبارة عن moment في angle يعني ال torque في
+
+61
+00:04:51,290 --> 00:04:55,530
+theta ال work done هو ال area
+
+62
+00:04:58,330 --> 00:05:04,670
+work done هو عبارة
+
+63
+00:05:04,670 --> 00:05:08,410
+حاصل ضرب ال turning moment في الزاوية
+
+64
+00:05:15,240 --> 00:05:18,220
+in actually practice engine is assumed to work
+
+65
+00:05:18,220 --> 00:05:22,400
+against the main resisting torque يعني ال engine
+
+66
+00:05:22,400 --> 00:05:26,960
+بيشتغل بيعطي الشغل عشان يتغلب على ال main
+
+67
+00:05:26,960 --> 00:05:29,920
+resisting torque عشان يتغلب ال main resisting
+
+68
+00:05:29,920 --> 00:05:34,700
+torqueال area of rectangle اللى هى A small A
+
+69
+00:05:34,700 --> 00:05:40,340
+capital F E هدى المستطيل اللى هى A small A capital
+
+70
+00:05:40,340 --> 00:05:45,700
+F capital E small بتمثل اللى هى is proportional
+
+71
+00:05:45,700 --> 00:05:51,960
+بيتناسب مع الشغل المبذول مقابل اللى هو ال
+
+72
+00:05:51,960 --> 00:05:53,460
+resisting torque
+
+73
+00:05:59,200 --> 00:06:04,840
+when turning moment is positive engine torque is
+
+74
+00:06:04,840 --> 00:06:07,980
+more than main resisting torque لأن في المنطقة هذه
+
+75
+00:06:07,980 --> 00:06:14,780
+بين B و C و بين D و E بيكون ال torque أعلى من ال
+
+76
+00:06:14,780 --> 00:06:17,180
+main resisting torque معناته ال net torque بيكون
+
+77
+00:06:17,180 --> 00:06:26,020
+إيش positive يعني في الفترة بين B و C أو D و E لأن
+
+78
+00:06:26,020 --> 00:06:33,860
+ال netTorque أعلى بيصير تسارع .. تسارع لل crank
+
+79
+00:06:33,860 --> 00:06:40,000
+shaft و ال work is done by steam يعني ال .. ال ..
+
+80
+00:06:40,000 --> 00:06:43,680
+ال steam بيعمل شغل على ال piston ال work is done
+
+81
+00:06:43,680 --> 00:06:48,080
+by steam on the piston في الفترة ما بين B و C و D
+
+82
+00:06:48,080 --> 00:06:52,800
+ايه؟ و ايه؟
+
+83
+00:06:52,800 --> 00:06:57,420
+when turning moment is negativeلما تكون thing what
+
+84
+00:06:57,420 --> 00:07:00,800
+is negative بيكون ال engine torque هي ال engine
+
+85
+00:07:00,800 --> 00:07:03,880
+torque أقل من ال main resisting هي ال main
+
+86
+00:07:03,880 --> 00:07:05,760
+resisting وهي ال engine torque أقل
+
+87
+00:07:08,290 --> 00:07:18,750
+زي ما هو مبين بين C و D او بين A و B او بين E و F
+
+88
+00:07:18,750 --> 00:07:26,210
+بيكون ال actual هو ال generated torque اقل من ال
+
+89
+00:07:26,210 --> 00:07:28,610
+mean resisting torque معناه يكون ال net torque بين
+
+90
+00:07:28,610 --> 00:07:31,570
+ال negative في الحالة لما ال negative هو torque من
+
+91
+00:07:31,570 --> 00:07:37,420
+ال negative ال crank shaft ببدأ يتباطأوفي الحالة
+
+92
+00:07:37,420 --> 00:07:42,580
+هذه الشغل بيكون من ال work is done on the steam by
+
+93
+00:07:42,580 --> 00:07:45,940
+the piston ال piston بيعمل شغل على البخار يعني في
+
+94
+00:07:45,940 --> 00:07:50,060
+الحالة هذه بكون أطرد البخار برا المحرك crank
+
+95
+00:07:50,060 --> 00:07:55,000
+retard يعني ال crank shaft بيسريطة باطأ والشغل
+
+96
+00:07:55,000 --> 00:07:58,460
+بيكون معمول من ال pistons على البخار
+
+97
+00:08:02,450 --> 00:08:08,770
+خلّيني اعرف بعض البتغيرات ال T هي torque on the
+
+98
+00:08:08,770 --> 00:08:15,090
+crankshaft at any instant ال
+
+99
+00:08:15,090 --> 00:08:20,130
+T mean اللي هي ال mean resisting torque ال
+
+100
+00:08:20,130 --> 00:08:24,630
+accelerating torque on the rotating parts of the
+
+101
+00:08:24,630 --> 00:08:30,310
+engine بيساوة T minus ال T mean إذا كان ال T minus
+
+102
+00:08:30,310 --> 00:08:36,240
+ال T mean موجبالمنويلة الفلاي ويل تتسارع وإذا كان
+
+103
+00:08:36,240 --> 00:08:42,000
+ال T minus T mean negative يعني كان ال torque at
+
+104
+00:08:42,000 --> 00:08:45,960
+the crank أقل من ال resisting torque بيكون عنده ال
+
+105
+00:08:45,960 --> 00:08:49,860
+net torque negative الفلاي ويل أو المنويلة تتباطأ
+
+106
+00:08:53,480 --> 00:08:57,780
+هذا بيني الترمو داجرام ل four stroke cycle
+
+107
+00:08:57,780 --> 00:09:01,720
+internal combustion engine يعني ال four stroke ال
+
+108
+00:09:01,720 --> 00:09:05,100
+internal combustion engine محرك الاحتلاق الداخلي
+
+109
+00:09:05,100 --> 00:09:09,000
+الدورة الكاملة عنده أربعة باين خلينا نشوف
+
+110
+00:09:12,450 --> 00:09:16,970
+عندي من سفر ل مية و تمانين، مية و تمانين ل تلت مية
+
+111
+00:09:16,970 --> 00:09:20,450
+و ستين، تلت مية و ستين لخمس مية و أربعين، خمس مية
+
+112
+00:09:20,450 --> 00:09:26,430
+و أربعين لسبع مية و عشرين درجة أنا عندي هاي ال
+
+113
+00:09:26,430 --> 00:09:32,430
+cylinder هاي
+
+114
+00:09:32,430 --> 00:09:37,450
+ال cylinder وهاي
+
+115
+00:09:37,450 --> 00:09:43,640
+ال piston لما نكون at the top dead centerبكون عندى
+
+116
+00:09:43,640 --> 00:09:53,940
+هاي ال connecting rod وهي ال crank وفي
+
+117
+00:09:53,940 --> 00:10:04,460
+عندى صمام عشان يدخل وقود زاد هوا وصمام عشان للخروج
+
+118
+00:10:04,460 --> 00:10:12,580
+خروج الغازات وعندى البوجية عندى البوجية
+
+119
+00:10:19,480 --> 00:10:21,880
+فى البداية فى عندى suction stroke فى ال suction
+
+120
+00:10:21,880 --> 00:10:28,380
+stroke بنزل ال piston لتحت بيسحب هوا فى ال suction
+
+121
+00:10:28,380 --> 00:10:39,360
+هده هده ال top ده ال center in suction stroke
+
+122
+00:10:39,360 --> 00:10:43,460
+فى الشفط بتاع الشفط بنزل ال piston لتحت و بيشفط
+
+123
+00:10:43,460 --> 00:10:49,510
+بيفتح الصمام بيكون صمامبكون عندى اللى هو ال .. ال
+
+124
+00:10:49,510 --> 00:10:59,550
+.. ال fuel .. fuel valve open و ال .. ال .. ال ..
+
+125
+00:10:59,550 --> 00:11:09,310
+ال exhaust تاع الدخل ال exhaust valve is closing و
+
+126
+00:11:09,310 --> 00:11:17,420
+هاد هتصير فترة من سفر ل by بتكون منبس يعني بدخل
+
+127
+00:11:17,420 --> 00:11:24,720
+fuel and air as
+
+128
+00:11:24,720 --> 00:11:29,960
+piston moves
+
+129
+00:11:29,960 --> 00:11:41,380
+from top dead center to bottom dead center
+
+130
+00:11:47,480 --> 00:12:02,660
+يعني هذا بيكون نازل بيفتح و هذا ايش مسكر and
+
+131
+00:12:02,660 --> 00:12:06,560
+here ال bottom dead ال center
+
+132
+00:12:31,510 --> 00:12:36,290
+هذه اللي هي ال suction stroke بعدين تيجي ال
+
+133
+00:12:36,290 --> 00:12:40,570
+compression stroke compression stroke هي واحد
+
+134
+00:12:40,570 --> 00:12:50,410
+اتنين في ال compression stroke ال piston بيكون في
+
+135
+00:12:50,410 --> 00:12:57,810
+الحالة هذه في ال compression stroke بيكون عندى ال
+
+136
+00:12:57,810 --> 00:12:58,950
+valve ال fuel
+
+137
+00:13:02,890 --> 00:13:12,270
+valve closed مسكر وال exhaust valve بيكون
+
+138
+00:13:12,270 --> 00:13:17,030
+مسكر closed اتنين ال two valves مسكريين ال piston
+
+139
+00:13:17,030 --> 00:13:24,250
+طبعا الفترة هتجه بين بين اللي هو by الاتنين by ال
+
+140
+00:13:24,250 --> 00:13:28,510
+piston hose
+
+141
+00:13:28,510 --> 00:13:30,670
+from
+
+142
+00:13:32,820 --> 00:13:45,240
+bottom dead center إلى top dead center يعني
+
+143
+00:13:45,240 --> 00:13:50,440
+بيطلع و بضغط تلاتة
+
+144
+00:13:50,440 --> 00:13:55,420
+ال
+
+145
+00:13:55,420 --> 00:13:58,260
+expansion أو ال working through ال expansion
+
+146
+00:14:03,990 --> 00:14:08,630
+stroke لان بعد ما اخلص ال compression لما .. بعد
+
+147
+00:14:08,630 --> 00:14:15,490
+ما اخلص ال compression ال compression بتحرك اللي
+
+148
+00:14:15,490 --> 00:14:24,810
+بيصير عندى هنا ال piston لان
+
+149
+00:14:32,690 --> 00:14:37,730
+في ال .. في ال .. في ال .. البوجية بعطي شرارة
+
+150
+00:14:37,730 --> 00:14:47,630
+بعطياش اش اسمه electric spark
+
+151
+00:14:47,630 --> 00:14:51,030
+is
+
+152
+00:14:51,030 --> 00:14:55,110
+given وبالتالي
+
+153
+00:14:55,110 --> 00:14:58,070
+بيصير عندى انفجار explosion
+
+154
+00:15:01,730 --> 00:15:10,210
+of fuel and burning plus burning في الحالة هتبقى
+
+155
+00:15:10,210 --> 00:15:16,270
+ندفع ال piston ال piston is
+
+156
+00:15:16,270 --> 00:15:20,510
+moving downward
+
+157
+00:15:20,510 --> 00:15:23,650
+from
+
+158
+00:15:26,050 --> 00:15:34,810
+top dead center to bottom dead center و ال fuel
+
+159
+00:15:34,810 --> 00:15:39,590
+valve is
+
+160
+00:15:39,590 --> 00:15:48,870
+closed و ال exhaust valve is
+
+161
+00:15:48,870 --> 00:15:56,340
+closedال stroke الرابع اللي هي ال exhaust ال
+
+162
+00:15:56,340 --> 00:16:01,960
+exhaust stroke
+
+163
+00:16:01,960 --> 00:16:13,640
+ال yes بيسيب من من من تلاتة by لاربعة by في الحالة
+
+164
+00:16:13,640 --> 00:16:24,170
+هذه عندك بيكون ال ال fuel valvevalve مسكر بفتح
+
+165
+00:16:24,170 --> 00:16:33,470
+صمام الدخنة اللي هو exhaust valve open
+
+166
+00:16:33,470 --> 00:16:42,610
+بفتح صمام الدخنة بصير طرد للدخنة بصير أطرد الدخنة
+
+167
+00:16:42,610 --> 00:16:47,670
+ال piston طبعا moves
+
+168
+00:16:49,340 --> 00:16:58,120
+from bottom dead center to top dead center في
+
+169
+00:16:58,120 --> 00:17:09,160
+الحالة هذه بيصير work is done work is done on bird
+
+170
+00:17:09,160 --> 00:17:11,620
+on bird
+
+171
+00:17:13,150 --> 00:17:17,750
+fuel بس انا بضغط بطرد الوقود المحترق .. المحترق
+
+172
+00:17:17,750 --> 00:17:23,770
+ورا ال .. ال .. ال engine فبعدين
+
+173
+00:17:23,770 --> 00:17:27,370
+بيصير برجة بعيد بيصير suction compression working
+
+174
+00:17:27,370 --> 00:17:30,050
+exhaust بعدين suction compression working exhaust
+
+175
+00:17:30,050 --> 00:17:32,710
+و بعدين كده بتبقى تعيد الدورة فهيك ال engine بتاع
+
+176
+00:17:32,710 --> 00:17:37,050
+السيارة شغال معناته اللي هو محرك الاحتراك الداخلي
+
+177
+00:17:37,050 --> 00:17:40,930
+بيكون عبارة عن اربع stroke فانا مبين عن دي
+
+178
+00:17:46,130 --> 00:17:49,370
+البنان دي اللي هو ال suction stroke من سفر ل با
+
+179
+00:17:49,370 --> 00:17:52,090
+يعني من سفر يعني من ال top dead center ل bottom
+
+180
+00:17:52,090 --> 00:17:54,690
+dead center ال compression من ال bottom dead
+
+181
+00:17:54,690 --> 00:17:57,910
+center ل ال top dead center ال working من ال top
+
+182
+00:17:57,910 --> 00:18:00,290
+dead center ل ال bottom dead center ال exhaust من
+
+183
+00:18:00,290 --> 00:18:03,010
+ال bottom dead center ل ال top dead center يعني
+
+184
+00:18:03,010 --> 00:18:07,590
+هتكون سبعمائة و عشرين درجة
+
+185
+00:18:11,100 --> 00:18:15,200
+في ال suction stroke pressure inside the engine
+
+186
+00:18:15,200 --> 00:18:17,320
+cylinder is less than atmospheric pressure اللي
+
+187
+00:18:17,320 --> 00:18:20,660
+بكون الضغط جوا الاستوانة اقل من الضغط الجوي عشانك
+
+188
+00:18:20,660 --> 00:18:26,320
+بشوف بشوف ال negative negative loop طبعا هذا هو ال
+
+189
+00:18:26,320 --> 00:18:30,380
+main resisting torque
+
+190
+00:18:31,010 --> 00:18:34,390
+و عندين ال turning moment diagram هذا ال curve هو
+
+191
+00:18:34,390 --> 00:18:39,450
+ال actual او ال torque generated at the crank due
+
+192
+00:18:39,450 --> 00:18:42,770
+to the burning of gases او due to the working
+
+193
+00:18:42,770 --> 00:18:49,130
+cycles of the engineduring compression في مرحلة ال
+
+194
+00:18:49,130 --> 00:18:52,730
+compression stroke work is done on gases انا بعمل
+
+195
+00:18:52,730 --> 00:18:56,670
+بضغط اللي هو الوقود والهواء بضغطهم ففي work is
+
+196
+00:18:56,670 --> 00:19:00,430
+done on gases وبالتالي هكون ال work negative
+
+197
+00:19:00,430 --> 00:19:06,350
+فهيكون عندى even negative loop is obtained during
+
+198
+00:19:06,350 --> 00:19:11,290
+ال expansion او ال working stroke بيصير احتراق
+
+199
+00:19:11,290 --> 00:19:18,100
+للوقود والغازات تتمددو بتدفع ال piston من ال top
+
+200
+00:19:18,100 --> 00:19:20,200
+of the center لل bottom of the center therefore a
+
+201
+00:19:20,200 --> 00:19:22,780
+larger positive loop is created بيكون عندى .. هين
+
+202
+00:19:22,780 --> 00:19:26,940
+.. هين معظم الشغل .. البوجة بيصير في .. الشغل اللي
+
+203
+00:19:26,940 --> 00:19:30,020
+بيصير في ال working stroke او ال expansion stroke
+
+204
+00:19:30,020 --> 00:19:35,850
+ال work is done by gases on the pistonفي ال stroke
+
+205
+00:19:35,850 --> 00:19:41,490
+الرابع ال exhaust work is done on gas بعمل شغل على
+
+206
+00:19:41,490 --> 00:19:45,030
+الغازات عشان اطرد بفتح الصممة لل exhaust و بطرد
+
+207
+00:19:45,030 --> 00:19:48,450
+الغازات therefore a negative loop is formed
+
+208
+00:19:51,530 --> 00:19:55,530
+نرجع للتيريمون دي جرام لل single-cylinder double
+
+209
+00:19:55,530 --> 00:20:00,230
+-acting steam engine اللي هو تيريمون دي جرام لمحرك
+
+210
+00:20:00,230 --> 00:20:05,330
+بخاري
+
+211
+00:20:05,330 --> 00:20:07,070
+يعمل في اتجاهين
+
+212
+00:20:14,180 --> 00:20:19,260
+اللي أنا نطلع هنا عليه when the crank moves from A
+
+213
+00:20:19,260 --> 00:20:19,980
+to P
+
+214
+00:20:23,960 --> 00:20:27,360
+ال work bar دايما بينجي عبارة عن المساحة المساحة
+
+215
+00:20:27,360 --> 00:20:33,840
+اللي هي a b p والطاقة
+
+216
+00:20:33,840 --> 00:20:38,860
+المطلوبة عبارة عن المساحة a small a capital b
+
+217
+00:20:38,860 --> 00:20:44,560
+capital p واضح أن الطاقة المطلوبة أكتر من الطاقة
+
+218
+00:20:44,560 --> 00:20:49,400
+المنتجة فاندي عجز اللي هو عبارة عن المساحة a small
+
+219
+00:20:49,400 --> 00:20:54,950
+a capital b كتار دي ومثل عجز في الطاقةالان العجز
+
+220
+00:20:54,950 --> 00:20:58,850
+هذا بياخده من ال flywheel this energy is taken
+
+221
+00:20:58,850 --> 00:21:02,350
+from the flywheel بياخده من المانويلة وبالتالي
+
+222
+00:21:02,350 --> 00:21:05,970
+عشان بياخد سرعتها هتقل وبالتالي سرعة ال flywheel
+
+223
+00:21:05,970 --> 00:21:10,590
+هتقل لإنه أخد جزء من طاقة حركتها عشان يعوض العجز
+
+224
+00:21:10,590 --> 00:21:10,970
+عنده
+
+225
+00:21:13,770 --> 00:21:18,670
+from P to Q ال work done by the engineer عبارة عن
+
+226
+00:21:18,670 --> 00:21:28,570
+مساحة P بكبتل B بكبتل C كبتل Q الشغل المطلوب عند
+
+227
+00:21:28,570 --> 00:21:32,890
+ال load عبارة عن مساحة P بكبتل B بكبتل C كبتل Q
+
+228
+00:21:33,570 --> 00:21:38,290
+واضح ان الشغل المنتج او الطاقة المنتجة اكبر من
+
+229
+00:21:38,290 --> 00:21:40,810
+الطاقة الموجودة ..معناته فيني دي زيادة ..الزيادة
+
+230
+00:21:40,810 --> 00:21:43,790
+ما انا اوديها بروح بخزنها في ال flywheel وبالتالي
+
+231
+00:21:43,790 --> 00:21:45,730
+سرعة ال flywheel هتزيد
+
+232
+00:21:49,630 --> 00:21:54,730
+من Q ل R الطاقة
+
+233
+00:21:54,730 --> 00:21:59,570
+المنتجة المنتجة وسط ال engine عبارة عن المساحة C Q
+
+234
+00:21:59,570 --> 00:22:05,290
+C كابيتال كيو كاب اس مول C small والمساحة اللي هي
+
+235
+00:22:05,290 --> 00:22:12,770
+C D كابيتالRsmall و الطاقة المطلوبة بقرع المساحة
+
+236
+00:22:12,770 --> 00:22:17,490
+Qsmall Ccapital Dcapital Rsmall أكبر من الطاقة
+
+237
+00:22:17,490 --> 00:22:22,570
+المنتجة وبالتالي الطاقة المنتجة او النقص في الطاقة
+
+238
+00:22:22,570 --> 00:22:25,590
+.. النقص او العجز سيعوده من ال flywheel بياخد من
+
+239
+00:22:25,590 --> 00:22:30,030
+ال flywheel وبالتالي بيصير سرعة ال flywheel بتقل
+
+240
+00:22:30,030 --> 00:22:37,710
+الآن من R لS من R لS من هنا ل هناالطاقة المنتجة من
+
+241
+00:22:37,710 --> 00:22:41,910
+ال engine هتكون مساحة اللي هي R small D capital D
+
+242
+00:22:41,910 --> 00:22:46,870
+small E capital S small الطاقة المطلوبة عند ال
+
+243
+00:22:46,870 --> 00:22:50,270
+load عبارة عن المساحة R small D capital E capital
+
+244
+00:22:50,270 --> 00:22:54,010
+S capital واضح أن الطاقة المنتجة أكبر من الطاقة
+
+245
+00:22:54,010 --> 00:22:57,550
+المطلوبة وبالتالي بيصير عندي فائض في الطاقة
+
+246
+00:22:57,550 --> 00:23:00,150
+فالطاقة ده بروح بخزن وين
+
+247
+00:23:04,070 --> 00:23:10,090
+بخزنه بخزنه في ال flywheel وبالتالي سرعة ال
+
+248
+00:23:10,090 --> 00:23:16,550
+flywheel بتزيد الان من S ل E من S ل Eالطاقة
+
+249
+00:23:16,550 --> 00:23:20,130
+المنتجة من ال engine عبارة عن مساحة S small E
+
+250
+00:23:20,130 --> 00:23:24,350
+capital A small الطاقة المطلوبة من ال load عبارة
+
+251
+00:23:24,350 --> 00:23:28,570
+عن مساحة S small E capital F capital E هي أكبر
+
+252
+00:23:28,570 --> 00:23:33,290
+العجز هيمثل مساحة E capital F capital E small
+
+253
+00:23:41,620 --> 00:23:46,340
+واضح في عندي fluctuation في يعني الطاقة في تدبدب
+
+254
+00:23:46,340 --> 00:23:49,640
+حوالين ال main resisting torque معناته ال
+
+255
+00:23:49,640 --> 00:23:51,840
+fluctuation of energy هو ال variation of energy
+
+256
+00:23:51,840 --> 00:23:54,060
+above and below the main resisting torque اللي هو
+
+257
+00:23:54,060 --> 00:23:58,000
+التدبدب في الطاقة هو التغير في الطاقة أعلى وأسفل
+
+258
+00:23:58,000 --> 00:24:03,600
+ال main resisting torque line ال areas المساحات
+
+259
+00:24:05,070 --> 00:24:10,830
+بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل
+
+260
+00:24:10,830 --> 00:24:15,170
+بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل
+
+261
+00:24:15,170 --> 00:24:16,250
+بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل
+
+262
+00:24:16,250 --> 00:24:16,290
+بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل
+
+263
+00:24:16,290 --> 00:24:16,390
+بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل
+
+264
+00:24:16,390 --> 00:24:18,050
+بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل
+
+265
+00:24:18,050 --> 00:24:26,810
+بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل
+
+266
+00:24:26,810 --> 00:24:31,930
+بكابيتل بكابيتل بكابيت
+
+267
+00:24:35,470 --> 00:24:39,490
+متوقع ان ال engine تكون ال maximum speed بتاعته
+
+268
+00:24:39,490 --> 00:24:45,050
+عند نقطة Q او S ممكن تكون السرعة تكون اقصى ما يمكن
+
+269
+00:24:45,050 --> 00:24:53,050
+عند Q او عند S معناته
+
+270
+00:24:53,050 --> 00:25:00,370
+ال flywheel تمتص الطاقة الزائدة في الفترة من P ل Q
+
+271
+00:25:00,370 --> 00:25:03,570
+و في الفترة من R ل S
+
+272
+00:25:07,510 --> 00:25:18,530
+ال engine has minimum speed عند P أو عند R في خلال
+
+273
+00:25:18,530 --> 00:25:24,010
+فترة هادئة يعني ال engine gives out جزء
+
+274
+00:25:24,010 --> 00:25:27,210
+من طاقته بتخلى ال flywheel بتتخلع جزء من طاقته
+
+275
+00:25:27,210 --> 00:25:32,110
+عشان تعود العجز في الفترة من A ل P و في الفترة من
+
+276
+00:25:32,110 --> 00:25:33,310
+Q ل R
+
+277
+00:25:38,530 --> 00:25:41,850
+فيه دي ما يسمى التذبذب الأعظم في الطاقة ال maximum
+
+278
+00:25:41,850 --> 00:25:43,650
+fluctuation of energy هي ال difference between
+
+279
+00:25:43,650 --> 00:25:46,730
+maximum and minimum energies above and below the
+
+280
+00:25:46,730 --> 00:25:47,990
+mean resisting torque line
+
+281
+00:25:59,070 --> 00:26:01,910
+عندي مثال هنا turning the ground for a multi
+
+282
+00:26:01,910 --> 00:26:03,830
+-cylinder engine عندي multi-cylinder engine عندي
+
+283
+00:26:03,830 --> 00:26:07,250
+engine متعدد لسطونات أربع سيلندر، ستة سيلندر،
+
+284
+00:26:07,250 --> 00:26:10,070
+تمانع سيلندر، ممكن تلاصق لحد اتنين و تلاتين سيلندر
+
+285
+00:26:10,070 --> 00:26:13,070
+عندي .. عندي هنا ال crank angle هي اللي يعني
+
+286
+00:26:13,070 --> 00:26:16,830
+turning from the ground فعندي ال A واحد .. A واحد
+
+287
+00:26:16,830 --> 00:26:21,780
+و A تلاتة و A fiveبيكون دي fluctuation above ال
+
+288
+00:26:21,780 --> 00:26:25,600
+mean resisting torque line يعني ال a2 و ال a4 و ال
+
+289
+00:26:25,600 --> 00:26:28,460
+a6 energies below ال mean resisting torque line
+
+290
+00:26:28,460 --> 00:26:31,660
+يعني في عندى fluctuation above فهي above above في
+
+291
+00:26:31,660 --> 00:26:39,320
+عندى below و في عندى below و في عندى below line
+
+292
+00:26:39,320 --> 00:26:46,140
+A capital G capital هو يمثل ال mean torque line ال
+
+293
+00:26:46,140 --> 00:26:52,890
+mean torque lineالـ A1 والـ A3 والـ A5 areas above
+
+294
+00:26:52,890 --> 00:26:58,270
+the mean torque line والـ A2 والـ A4 والـ A6 اللي
+
+295
+00:26:58,270 --> 00:27:00,430
+هي areas below the mean torque line
+
+296
+00:27:06,390 --> 00:27:09,410
+الان how to determine the maximum fluctuation of
+
+297
+00:27:09,410 --> 00:27:14,210
+energy لو فرضنا ان ال energy in the flywheel عند
+
+298
+00:27:14,210 --> 00:27:19,030
+نقطة A بالساوية E معناته عند B عندها positive عند
+
+299
+00:27:19,030 --> 00:27:26,120
+B هتكون E عند B هتكون E زاد A واحدعند B عند C
+
+300
+00:27:26,120 --> 00:27:34,360
+هتكون E زاد A1 minus A2 عند D هتكون E زاد A1 ناقص
+
+301
+00:27:34,360 --> 00:27:41,480
+A2 زاد A3 عند E هتكون عند E ال energy هتكون E زاد
+
+302
+00:27:41,480 --> 00:27:49,320
+A1 ناقص A2 زاد A3 ناقص A4 عند F هتكون هتكون E زاد
+
+303
+00:27:49,320 --> 00:27:56,590
+A1 ناقص A2 زاد A3 ناقص A4 زاد A5عند G هترجع نفس ال
+
+304
+00:27:56,590 --> 00:28:00,410
+A طيب
+
+305
+00:28:00,410 --> 00:28:04,230
+suppose
+
+306
+00:28:04,230 --> 00:28:07,490
+that the greatest energy of these energies طبعا
+
+307
+00:28:07,490 --> 00:28:11,710
+عندي energy عند A وB capital وC capital وD capital
+
+308
+00:28:11,710 --> 00:28:14,630
+وE capital وF capital وG capital لو افرض انه كانت
+
+309
+00:28:14,630 --> 00:28:19,470
+ال energy is maximum عند B وكانتمعناته ال max
+
+310
+00:28:19,470 --> 00:28:24,150
+energy عند B هتكون E زاد A واحد و لو فرضنا ان ال
+
+311
+00:28:24,150 --> 00:28:29,030
+energy is minimum عند E معناته ال minimum energy
+
+312
+00:28:29,030 --> 00:28:33,170
+الدفلية هتكون E زاد A واحد minus A اتنين زاد A
+
+313
+00:28:33,170 --> 00:28:36,620
+تلاتة minus A اربعةمعناته ال maximum fluctuation
+
+314
+00:28:36,620 --> 00:28:38,620
+in energy هو بيستوى ال maximum energy in a
+
+315
+00:28:38,620 --> 00:28:41,120
+flywheel minus منه energy in a flywheel هتكون
+
+316
+00:28:41,120 --> 00:28:44,860
+maximum energy minus منه energy هتكون E زاد A1
+
+317
+00:28:44,860 --> 00:28:50,660
+minus بينقصين E زاد A1 نقص A2 زاد A3 نقص A4 هتطلع
+
+318
+00:28:50,660 --> 00:28:54,180
+بيستوى A2 نقص A3 زاد A4
+
+319
+00:28:57,010 --> 00:29:00,910
+هنعرف معامل التدبدب في الطاقة ال coefficient of
+
+320
+00:29:00,910 --> 00:29:04,810
+fluctuation of energy c هي سواء ال maximum
+
+321
+00:29:04,810 --> 00:29:10,070
+fluctuation of energy ع ال work done per cycle ال
+
+322
+00:29:10,070 --> 00:29:13,470
+work done per cycle بيساوي ال mean resisting
+
+323
+00:29:13,470 --> 00:29:16,930
+torque في ال angle per cycle اللي هي T mean في ال
+
+324
+00:29:16,930 --> 00:29:20,490
+theta ال theta هي ال angle turned in one
+
+325
+00:29:20,490 --> 00:29:23,330
+revolution هي زوج الدورة اللي بتدور على الكرانك في
+
+326
+00:29:23,330 --> 00:29:31,920
+one revolutionفي حالة steam engine او two stroke
+
+327
+00:29:31,920 --> 00:29:38,180
+internal combustion engine في حالة محرك بخاري او
+
+328
+00:29:38,180 --> 00:29:41,440
+two stroke محرك يحتلق داخلي عبارة عن two stroke
+
+329
+00:29:41,440 --> 00:29:48,940
+الثالث بتكون تساوي اتنين باي في حالة محركاحتراك
+
+330
+00:29:48,940 --> 00:29:54,620
+داخلي اربع عشواط بتكون ال T main بيساوة P ال power
+
+331
+00:29:54,620 --> 00:29:59,620
+على Omega و ال Omega هتكون اللي هي اتنين Pi في N
+
+332
+00:29:59,620 --> 00:30:02,520
+على ستين يعني هتكون ال T main بيساوة P في ستين على
+
+333
+00:30:02,520 --> 00:30:03,360
+اتنين Pi في N
+
+334
+00:30:07,280 --> 00:30:11,480
+بشكل عام فينا معادة ال work done per cycle بيساوة
+
+335
+00:30:11,480 --> 00:30:14,920
+P capital C capital على N small ال N small بيساوة
+
+336
+00:30:14,920 --> 00:30:20,340
+number of working strokes per minute في حالة في
+
+337
+00:30:20,340 --> 00:30:23,760
+محرك بخار او two stroke internal combustion engine
+
+338
+00:30:23,760 --> 00:30:30,840
+ال N بيساوة N small بيساوة N capital
+
+339
+00:30:32,960 --> 00:30:36,600
+في حالة forest rock engine الان small بس هو ان
+
+340
+00:30:36,600 --> 00:30:45,820
+كابيتال على اتنين طيب
+
+341
+00:30:51,950 --> 00:30:56,450
+Table 16-1 معطيني ال coefficient of fluctuation of
+
+342
+00:30:56,450 --> 00:31:00,590
+energy المعامل التذبذب في الطاقة لمجموعة مختلفة من
+
+343
+00:31:00,590 --> 00:31:04,910
+المحركات يعني لو أخدنا على سبيل المثال أخدنا
+
+344
+00:31:04,910 --> 00:31:09,510
+single cylinder single acting four stroke gas
+
+345
+00:31:09,510 --> 00:31:13,230
+engine أخدنا محرك احتراق داخل أربعة شواط و بمكومة
+
+346
+00:31:13,230 --> 00:31:16,490
+نص طوانة واحدة بيكون ال coefficient of energy
+
+347
+00:31:16,490 --> 00:31:20,510
+coefficient of CE لل engine واحد point تسعة تلاتة
+
+348
+00:31:20,820 --> 00:31:26,260
+لو أخدت نفس الاشي بس يعني بيقرعني single acting
+
+349
+00:31:26,260 --> 00:31:29,260
+four stroke gas engine بس في عندى أربع أسطوانات
+
+350
+00:31:29,260 --> 00:31:33,840
+بيكون دي اللي هو CE.O66 لو زوّد الأسطوانات لستة
+
+351
+00:31:33,840 --> 00:31:37,820
+بيصير .O31، لو سوّر تمانية بقل وها كذا، فمعناته كل
+
+352
+00:31:37,820 --> 00:31:41,610
+ما زود عاد الأسطواناتكل مقال التذبذب عشان هيك
+
+353
+00:31:41,610 --> 00:31:43,830
+السيارات اللي بتكون مثلا تمانية .. تمانية
+
+354
+00:31:43,830 --> 00:31:47,630
+cylinders بتكون صوتها أنعم بكتير من الأربع
+
+355
+00:31:47,630 --> 00:31:51,370
+cylinders اللي عندك المحرك الاحتراق الداخلي بتاع
+
+356
+00:31:51,370 --> 00:31:55,850
+ال motorcycle بتكون مزعج كتير صوته عاليه لأنه ال
+
+357
+00:31:55,850 --> 00:32:01,490
+fluctuation of energy بتكون فيه عالية طيب ال
+
+358
+00:32:01,490 --> 00:32:07,300
+flywheel ال manuelaالـ flywheel شغلة هي عبارة عن
+
+359
+00:32:07,300 --> 00:32:11,860
+خزان للطاقة الـ flywheel تشتغل كخزان للطاقة بخزن
+
+360
+00:32:11,860 --> 00:32:15,260
+الطاقة اللي جاية .. الطاقة ال engine اللي جاية ال
+
+361
+00:32:15,260 --> 00:32:22,200
+engine ع شكل طاقة حركة الـ flywheel بتخزن الطاقة
+
+362
+00:32:22,200 --> 00:32:26,440
+لما يكون في عندي المحرك بنتج طاقة أكتر من اللي
+
+363
+00:32:26,440 --> 00:32:30,600
+لازم بخزنها في ال flywheelلما نكون في عندى عجز في
+
+364
+00:32:30,600 --> 00:32:34,720
+الطاقة، يعني عندى الطاقة المنتجة من ال engine أقل
+
+365
+00:32:34,720 --> 00:32:40,560
+من الطاقة المطلوب من ال load، ال firewheel بتعطي
+
+366
+00:32:40,560 --> 00:32:44,200
+ال load عشان .. ف it releases energy، يعني عنده
+
+367
+00:32:44,200 --> 00:32:47,320
+خزانة بخزن فيها الطاقة اللي بكون عنده زيادة و باخد
+
+368
+00:32:47,320 --> 00:32:49,340
+منها الطاقة لما انا محتاج في عندى عجز
+
+369
+00:32:53,070 --> 00:32:57,870
+in case of steam engines في حالة المحركات البخارية
+
+370
+00:32:57,870 --> 00:33:03,730
+و محركات الاحتراق الداخلية و في حالة ال
+
+371
+00:33:03,730 --> 00:33:09,470
+compressors و المدخّات engine is developed during
+
+372
+00:33:09,470 --> 00:33:14,350
+one stroke الطاقة
+
+373
+00:33:14,350 --> 00:33:19,290
+تنتج خلال شوط واحد and engine is to run for the
+
+374
+00:33:19,290 --> 00:33:23,900
+whole cycleالطاقة اللى بنتجها في one stroke هستفيد
+
+375
+00:33:23,900 --> 00:33:27,080
+منها في ال other strokes عند أربع strokes عند
+
+376
+00:33:27,080 --> 00:33:29,620
+stroke بنتج فيها طاقة بنتج فيها طاقة كتير و باخذ
+
+377
+00:33:29,620 --> 00:33:32,640
+ال flywheel في ال other strokes محتاج طاقة باخدها
+
+378
+00:33:32,640 --> 00:33:41,680
+من ال flywheel in
+
+379
+00:33:41,680 --> 00:33:44,720
+four stroke internal combustion engine في حالة
+
+380
+00:33:44,720 --> 00:33:51,210
+محرك احتراك داخل أربع نظام أربع أشواطالطاقة تنتج
+
+381
+00:33:51,210 --> 00:33:59,320
+خلال اللي هي شروط ال expansion شروط التمددو كمية
+
+382
+00:33:59,320 --> 00:34:02,880
+الطاقة المتمددة بتكون كبيرة بحيث تكفي لل ..
+
+383
+00:34:02,880 --> 00:34:05,660
+للأشواط الأخرى اللي هي ال .. ال suction و ال
+
+384
+00:34:05,660 --> 00:34:08,260
+compression و ال exhaust stroke معناته أنا بنتج
+
+385
+00:34:08,260 --> 00:34:13,200
+طاقة اتكفيني لكل الأربع أشواط الطاقة بنتجها فقط في
+
+386
+00:34:13,200 --> 00:34:16,320
+ال .. في ال .. في الشوط على ال expansion لكن ننساش
+
+387
+00:34:16,320 --> 00:34:18,860
+أن هنا فينا suction stroke و عندي compression
+
+388
+00:34:18,860 --> 00:34:22,700
+stroke و عندي exhaust stroke فلازم أغطيهم الطاقة
+
+389
+00:34:29,180 --> 00:34:31,660
+access energy developed during power stroke اللي
+
+390
+00:34:31,660 --> 00:34:35,660
+الطاقة الزائدة المنتجة خلال ال power stroke هي تم
+
+391
+00:34:35,660 --> 00:34:39,980
+تخزينها بال flywheel و ثم تطلقها او تتخلى عنها ال
+
+392
+00:34:39,980 --> 00:34:44,600
+flywheel خلال الأشواط الأخرى اللي مايكونش فيها
+
+393
+00:34:44,600 --> 00:34:48,700
+إنتاج للطاقة وبالتالي thus rotating the crankshaft
+
+394
+00:34:48,700 --> 00:34:51,480
+at any form of speed وبالتالي بحافظ أن الكرانك
+
+395
+00:34:51,480 --> 00:34:53,580
+تتحرك بسرعة منتظرة
+
+396
+00:34:56,970 --> 00:34:59,910
+when a flywheel absorbs energy لما ال flywheel
+
+397
+00:34:59,910 --> 00:35:06,070
+تنتص طاقة سرعتها ايش؟ بتزيد و لما تتخلى عن جزء من
+
+398
+00:35:06,070 --> 00:35:11,110
+طاقتها سرعتها بتنقص a flywheel does not maintain a
+
+399
+00:35:11,110 --> 00:35:15,190
+constant speed ال flywheel بتحفظش ان انا احش على
+
+400
+00:35:15,190 --> 00:35:19,770
+سرعة منتظمة اللي بيستوي it reduces fluctuation
+
+401
+00:35:19,770 --> 00:35:24,490
+بيتقلل بتقلل التدبدب في السرعة بتقلل التدبدب في
+
+402
+00:35:24,490 --> 00:35:24,890
+السرعة
+
+403
+00:35:29,710 --> 00:35:34,190
+a flywheel controls speed variations caused by
+
+404
+00:35:34,190 --> 00:35:37,090
+fluctuation of energy turning moment during each
+
+405
+00:35:37,090 --> 00:35:41,430
+cycle of operation الفليويل تتحكم في التذبذب في
+
+406
+00:35:41,430 --> 00:35:47,790
+السرعة الناتج عن التذبذب في الطاقة خلال الدورة
+
+407
+00:35:47,790 --> 00:35:52,830
+اللي هي عبارة عن شتين او اربع شهرات it does not
+
+408
+00:35:52,830 --> 00:35:55,890
+control speed variations caused by varying load
+
+409
+00:35:55,890 --> 00:36:00,510
+اذا ال load اتغيربتعملش control على ال variations
+
+410
+00:36:00,510 --> 00:36:04,450
+فى إشي تانى بيعمل control على ال speed لما نستخدم
+
+411
+00:36:04,450 --> 00:36:06,450
+دى variation فى ال load اللى هو ما يسمى ال
+
+412
+00:36:06,450 --> 00:36:11,690
+governor هنجيله بعد شوية ال
+
+413
+00:36:11,690 --> 00:36:17,790
+machines فى المكان where operation is intermittent
+
+414
+00:36:17,790 --> 00:36:23,750
+فى المكان اللى بتكون فيه عملية متقطعة زى الكسرات
+
+415
+00:36:23,750 --> 00:36:28,770
+ال crushersال flywheel stores energy from power
+
+416
+00:36:28,770 --> 00:36:32,670
+source ال flywheel بتخزن الطاقة من مصدر الطاقة
+
+417
+00:36:32,670 --> 00:36:36,570
+اللي هي الكهربا مثلا during the greater portion of
+
+418
+00:36:36,570 --> 00:36:40,130
+the operating cycle في معظم يعني بتكون فترة طويلة
+
+419
+00:36:40,130 --> 00:36:43,910
+بتكون تخزن الطاقةand gives it up during a small
+
+420
+00:36:43,910 --> 00:36:46,730
+period of the cycle ده انا عملية لو انا بدي اكسر
+
+421
+00:36:46,730 --> 00:36:49,510
+انا بكونش ضغطة هطول بضغط لفترة .. بضغط شويه و
+
+422
+00:36:49,510 --> 00:36:53,430
+بارفع فالضغطة هتبدي طاقة كبيرة فانا فى فترة طويلة
+
+423
+00:36:53,430 --> 00:36:57,670
+من ال cycle بكون مخزن طاقة و بتخلى عنها فى فترة
+
+424
+00:36:57,670 --> 00:37:03,230
+زمنية قصيرة طيب
+
+425
+00:37:03,230 --> 00:37:09,750
+في عندي ما يسمى ال governorهذا موجود في ال engine
+
+426
+00:37:09,750 --> 00:37:13,690
+ال governor in engine regulates main speed of
+
+427
+00:37:13,690 --> 00:37:18,070
+engine when there are variations in load ايش
+
+428
+00:37:18,070 --> 00:37:22,570
+معناته انا كنت ماشي بسيارة على مستوى أفقي ماشي على
+
+429
+00:37:22,570 --> 00:37:28,150
+شارع مستوي وماشي بسرعة مائة كيلو متر بعد شوقا جيت
+
+430
+00:37:28,150 --> 00:37:32,450
+طلع سند عالي كتير عشان احافظ على نفس السرعة ايش
+
+431
+00:37:32,450 --> 00:37:38,330
+بسوي بدي أسعى البنزين اكتر باعطياشبعطي بنزين او
+
+432
+00:37:38,330 --> 00:37:42,110
+وقود اكتر I need .. بعطي .. I give more energy to
+
+433
+00:37:42,110 --> 00:37:48,310
+.. to keep the speed طيب بعد شوية انزلت على دحلة
+
+434
+00:37:48,310 --> 00:37:52,310
+لما انزل على دحلة اذا ضليت الضغط على نفس ضغط
+
+435
+00:37:52,310 --> 00:37:56,150
+البنزين هتتسرع السيارة معناه بيخفف دقس البنزين
+
+436
+00:37:56,150 --> 00:37:58,830
+عشان احافظ عن السرعة معناه ال governor في ال
+
+437
+00:37:58,830 --> 00:38:05,130
+engine بتحكم بيعمل تنظيم للسرعة للسرعة .. سرعة ال
+
+438
+00:38:05,130 --> 00:38:08,460
+engineلما نسينا أن يتغير في ال load تغير في ال
+
+439
+00:38:08,460 --> 00:38:12,200
+load زي ما حكينا ال load في حالة انا بكون ماشي
+
+440
+00:38:12,200 --> 00:38:15,480
+أفقي بيكون له قيمة معينة لما أطلع على طلعة بدي
+
+441
+00:38:15,480 --> 00:38:19,800
+load أكتر معناته بدي وقود أكتر لما أنزل طلعة بدي
+
+442
+00:38:19,800 --> 00:38:23,960
+load أقل الوزن بيساعدني معناته بيخفف الوقود اللي
+
+443
+00:38:23,960 --> 00:38:28,800
+بيسويه هو ال governor بيلعب بتحكم في كمية الوقود
+
+444
+00:38:28,800 --> 00:38:34,170
+بحيثيخلّي السرعة ثابتة زى ما انتوا شايفين انا
+
+445
+00:38:34,170 --> 00:38:38,610
+بيكون عندى الجزء هذا ال shaft بتاع ال engine ال
+
+446
+00:38:38,610 --> 00:38:43,430
+shaft بتاع ال crane بيكون يدور هذا بيكون ايش يدور
+
+447
+00:38:43,430 --> 00:38:52,010
+وعندي هنا كورة و هنا كورة نتيجة الدوران لو انا بدى
+
+448
+00:38:52,010 --> 00:38:58,190
+اسرعبصير قوة طرد الملكة تطرد الكورات لبرا فلما طرد
+
+449
+00:38:58,190 --> 00:39:01,930
+الكورات لبرا الادراع هذا بنزل لتحت وهذا الادراع
+
+450
+00:39:01,930 --> 00:39:07,250
+بنزل لتحت فبأسحب هذه الدورة الأعلى ففيه عند الفتحة
+
+451
+00:39:07,250 --> 00:39:12,300
+اللي زي شايفنا علي اليمين هذهبتسكر او بتفتح ..
+
+452
+00:39:12,300 --> 00:39:16,280
+بتخلي فتحة الوقود اكتر او اقل وبالتالي انا بتحكم
+
+453
+00:39:16,280 --> 00:39:20,080
+في كمية الوقود بالطريقة هذه .. هذه ما يسمى ال
+
+454
+00:39:20,080 --> 00:39:23,560
+governor خشوا على اليوتيوب هتشوفوا videos كتير
+
+455
+00:39:23,560 --> 00:39:26,940
+بتوضح ال governor بس اذا حطيتوا governor لحالة
+
+456
+00:39:26,940 --> 00:39:31,980
+هيبين انكوا ال trump و الرؤساء و اردوجان و مش
+
+457
+00:39:31,980 --> 00:39:35,360
+عارفش لان ال governor معناه تحكم كتبوا governor in
+
+458
+00:39:35,360 --> 00:39:37,720
+engine عشان تكون more specific
+
+459
+00:39:42,510 --> 00:39:43,890
+عند تقليل المزيد من المزيد من المزيد من المزيد من
+
+460
+00:39:43,890 --> 00:39:44,530
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+461
+00:39:44,530 --> 00:39:45,270
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+462
+00:39:45,270 --> 00:39:47,350
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+463
+00:39:47,350 --> 00:39:47,790
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+464
+00:39:47,790 --> 00:39:49,330
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+465
+00:39:49,330 --> 00:39:50,130
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+466
+00:39:50,130 --> 00:39:51,610
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+467
+00:39:51,610 --> 00:39:52,070
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+468
+00:39:52,070 --> 00:39:56,530
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+469
+00:39:56,530 --> 00:39:57,710
+المز
+
+470
+00:40:01,830 --> 00:40:04,950
+طبعا ال governor هيكون موجود كتير في مولدات
+
+471
+00:40:04,950 --> 00:40:09,610
+الكهربا مولدات الكهربا انا محتاج ل frequency تطيير
+
+472
+00:40:09,610 --> 00:40:13,450
+على الكهربا الناتري بدي احسن في حدود خمسين هيرزأو
+
+473
+00:40:13,450 --> 00:40:17,390
+ستين هيرز يختلف من لبلد لبلد معناته سرعة المحرك
+
+474
+00:40:17,390 --> 00:40:22,390
+سرعة المحرك لازم تكون ثابتة هتكون على 1500 RPM
+
+475
+00:40:22,390 --> 00:40:26,590
+عشان تكون سرعة المحرك ثابتة لازم تكون عندك
+
+476
+00:40:26,590 --> 00:40:30,010
+governor اذا زاد ال load على المولد مثلا في ال
+
+477
+00:40:30,010 --> 00:40:36,270
+load كان شايل عشرة كيلو وات وفجأة ال load صار
+
+478
+00:40:36,270 --> 00:40:43,140
+خمسينمعناته إذا سبت الوضع كما هو عليه هتنزل السرعة
+
+479
+00:40:43,140 --> 00:40:44,860
+.. هنزل ال frequency .. هتخرج الأجزاء الكهربائية
+
+480
+00:40:44,860 --> 00:40:47,240
+عندي وبالتالي بيكون دي ال governor لما يزيد ال
+
+481
+00:40:47,240 --> 00:40:49,980
+load بيروح بيصحب أقود أكتر عشان يحافظ على نفس
+
+482
+00:40:49,980 --> 00:40:55,620
+السرعة فال governor بنظم السرعة إذا حد المولدات
+
+483
+00:40:55,620 --> 00:41:00,680
+كتير منتشرة في غزة ممكن الواحد يتفرج .. يعني يتفرج
+
+484
+00:41:00,680 --> 00:41:02,980
+على ال governor تشوفوا كيف بيشتغل على الطبيعة
+
+485
+00:41:06,870 --> 00:41:10,470
+فيه هنعرف معامل التذبذب في السرعة ال maximum
+
+486
+00:41:10,470 --> 00:41:17,770
+fluctuation of speed هو الفرق بين ال maximum و ال
+
+487
+00:41:17,770 --> 00:41:20,630
+minimum speed during أساكل هو الفرق بين أقصى سرعة
+
+488
+00:41:20,630 --> 00:41:26,170
+و أقل سرعة خلال دورة معامل التذبذب في ال speed هو
+
+489
+00:41:26,170 --> 00:41:29,790
+النسبة بين ال maximum fluctuation of speed على
+
+490
+00:41:29,790 --> 00:41:33,820
+السرعة المتوسطة على ال minimum speedلو كان عندى ال
+
+491
+00:41:33,820 --> 00:41:38,660
+max speed رمز تلها بالرمز N1 و ال min speed بالرمز
+
+492
+00:41:38,660 --> 00:41:44,900
+N2معينة السرعة المتوسطة N هتكون N1 زي N2 على 2 و
+
+493
+00:41:44,900 --> 00:41:48,620
+ال coefficient او المعاملة تتبدأ في السرعة CS
+
+494
+00:41:48,620 --> 00:41:52,920
+هتكون ال maximum minus ال minimum N1 minus N2 على
+
+495
+00:41:52,920 --> 00:41:57,320
+N و N عبارة عن N1 زي N2 على 2 او لو بدي استخدم
+
+496
+00:41:57,320 --> 00:42:00,820
+الوحدات ال radians per second بستخدم Omega 1 minus
+
+497
+00:42:00,820 --> 00:42:04,460
+Omega 2 على Omega او بستوى 2 Omega 1 minus Omega 2
+
+498
+00:42:04,460 --> 00:42:08,580
+على Omega 1 زي Omega 2 هذا معاملة تتبدأ في السرعة
+
+499
+00:42:11,590 --> 00:42:14,470
+طور معارك الذبذ و في الصراع is a limiting factor
+
+500
+00:42:14,470 --> 00:42:18,310
+in the design of flywheel في تصميم ال flywheels ال
+
+501
+00:42:18,310 --> 00:42:24,690
+CS is a limiting and important factorال CS varies
+
+502
+00:42:24,690 --> 00:42:28,010
+depending upon the nature of service to which the
+
+503
+00:42:28,010 --> 00:42:30,870
+flywheel is employed حسب ال application في بعض ال
+
+504
+00:42:30,870 --> 00:42:34,650
+application مش مشكلة لو كانت التغييف السرعة كبير
+
+505
+00:42:34,650 --> 00:42:37,710
+في بعض ال applications لأ اذا كانت التغييف السرعة
+
+506
+00:42:37,710 --> 00:42:41,610
+كبير بيعمللي مشكلة فحسب ال application تعتمد ال
+
+507
+00:42:41,610 --> 00:42:47,930
+design لل flywheelالان معامل الثبات هو عكس معامل
+
+508
+00:42:47,930 --> 00:42:51,410
+التذبذب معامل الثبات اللي هو N بصة واحد على CS بصة
+
+509
+00:42:51,410 --> 00:43:01,410
+و N capital على N واحد ناقص N اتنين نرجع
+
+510
+00:43:01,410 --> 00:43:06,590
+تاني لل flywheelwhen a flywheel absorbs energy لما
+
+511
+00:43:06,590 --> 00:43:12,130
+ال flywheel تمتص طاقة سرعتها بالزيت و لما مطاعة
+
+512
+00:43:12,130 --> 00:43:16,950
+طاقة تتخلى عن طاقة سرعتها ياش بتقل لو فرضنا ان
+
+513
+00:43:16,950 --> 00:43:22,050
+كتلة ال flywheel رمزانة بالرمز M و ال rate of
+
+514
+00:43:22,050 --> 00:43:27,190
+generation ال flywheel بالرمز K و I هي ال mass of
+
+515
+00:43:27,190 --> 00:43:31,030
+the flywheel حوالين محور الدوران هتكون I بسوء M في
+
+516
+00:43:31,030 --> 00:43:31,630
+K تربع
+
+517
+00:43:34,290 --> 00:43:37,490
+ال flowey اللي بتكون عبارة عن في عندى كتلة يعني
+
+518
+00:43:37,490 --> 00:43:41,570
+شكلها مدور في عندى الكتلة الخارجية بيسموها ال rim
+
+519
+00:43:41,570 --> 00:43:45,330
+و في عندى في النص ال hub و في عندى اللي هو هذه
+
+520
+00:43:45,330 --> 00:43:49,810
+الأضرع اللي هي ال ribs عندها rim .. rim اتنين او
+
+521
+00:43:49,810 --> 00:43:52,450
+rib .. rib واحد .. rib اتنين .. rib اربعة ribs
+
+522
+00:43:57,780 --> 00:44:00,900
+الـ main kinetic energy of flywheel flywheel is a
+
+523
+00:44:00,900 --> 00:44:03,800
+rotating body it is in a pure rotation معناته ال
+
+524
+00:44:03,800 --> 00:44:06,760
+kinetic energy اللي هتكون نص في I أميجا square هذا
+
+525
+00:44:06,760 --> 00:44:10,420
+ال dynamics هذا مش معلومة جديدة ال I عبارة عن ال
+
+526
+00:44:10,420 --> 00:44:15,300
+MK تربيع يعني هتكون نص MK تربيع في أميجا تربيع ال
+
+527
+00:44:15,300 --> 00:44:17,600
+maximum fluctuation of energy سواء ال maximum
+
+528
+00:44:17,600 --> 00:44:20,120
+kinetic energy minus ال minimum kinetic energy
+
+529
+00:44:20,120 --> 00:44:23,800
+يعني هتكون النص I أميجا واحد تربيع لأن أميجا واحد
+
+530
+00:44:23,800 --> 00:44:29,260
+اللي هي ال maximumSpeed minus نص I Omega 2 تربيع
+
+531
+00:44:29,260 --> 00:44:32,140
+لو أخدت نص I على مشترك بيصول نص I في Omega 1 تربيع
+
+532
+00:44:32,140 --> 00:44:35,420
+minus Omega 2 تربيع هذه فرق بين المربعين يعني
+
+533
+00:44:35,420 --> 00:44:38,620
+هتكون نص I في Omega 1 زي Omega 2 في Omega 1 ناقص
+
+534
+00:44:38,620 --> 00:44:43,420
+Omega 2 لو ضربت ال bus في 2 و المقام على 2 بتغيرش
+
+535
+00:44:43,420 --> 00:44:47,040
+اشياء او انا عند هنا او عند هنا Omega 1 زي Omega 2
+
+536
+00:44:47,040 --> 00:44:50,480
+على 2 هي ال main speed اللي هي هتكون Omega هتكون I
+
+537
+00:44:50,480 --> 00:44:56,700
+في Omega في Omega 1 minus Omega 2لو ضربت الهن ..
+
+538
+00:44:56,700 --> 00:45:00,440
+لو ضربت ال .. ال .. ال bust في omega و طرحته على
+
+539
+00:45:00,440 --> 00:45:03,280
+omega هصير I omega تربيع في omega واحد نقص omega
+
+540
+00:45:03,280 --> 00:45:06,560
+اتنين على omega يعني هصير I omega تربيع في omega
+
+541
+00:45:06,560 --> 00:45:09,260
+واحد minus omega اتنين على omega omega واحد minus
+
+542
+00:45:09,260 --> 00:45:12,520
+omega اتنين على omega عبارة عن ايش؟ معامل تذبد في
+
+543
+00:45:12,520 --> 00:45:16,160
+السرعة اللي هي ال CS هصير I omega square في ال CS
+
+544
+00:45:19,590 --> 00:45:23,810
+ال I عبارة عن ال mass في ال rates جارية MK تربيع
+
+545
+00:45:23,810 --> 00:45:29,650
+في Omega تربيع CS وعند
+
+546
+00:45:29,650 --> 00:45:33,690
+هنا احنا عارفين ان ال ال main energy عبارة عن نص
+
+547
+00:45:33,690 --> 00:45:38,190
+MK تربيع Omega تربيع هذا مش نص واحد معناته هذا
+
+548
+00:45:38,190 --> 00:45:42,690
+هتكون اتنين E في ال CS يعني ال Delta E اتنين في ال
+
+549
+00:45:42,690 --> 00:45:46,190
+main energy في المعاملة تذبذب في السرعة
+
+550
+00:45:49,140 --> 00:45:53,200
+as an approximation radius of gyration may be
+
+551
+00:45:53,200 --> 00:45:56,660
+taken equal to mean radius of the rim radius of
+
+552
+00:45:56,660 --> 00:46:02,480
+gyration delta E بالساوية اللي هو اعتبر ان ال K
+
+553
+00:46:02,480 --> 00:46:06,320
+بالساوية R اللي هي MR square في Omega square في CS
+
+554
+00:46:06,320 --> 00:46:10,940
+انحل
+
+555
+00:46:10,940 --> 00:46:11,500
+ال examples
+
+556
+00:46:34,600 --> 00:46:38,320
+the mass of a flywheel of an engine is ستة و نص طن
+
+557
+00:46:38,320 --> 00:46:44,320
+في عند flywheel وزنها كتلتها ال mass بس
+
+558
+00:46:44,320 --> 00:46:49,620
+ستة و نص طن يعني ستة لاك و خمسميت كيلو جرام ال
+
+559
+00:46:49,620 --> 00:46:55,160
+flywheel و ال rate of generation بتاعتها Kبسوة
+
+560
+00:46:55,160 --> 00:47:00,360
+واحد و تمانية و عشرة متر it is found from the
+
+561
+00:47:00,360 --> 00:47:02,500
+turning moment diagram that the fluctuation of
+
+562
+00:47:02,500 --> 00:47:10,440
+energy delta E معطينيها بسوة ستة و خمسين kilo
+
+563
+00:47:10,440 --> 00:47:20,020
+newton متر if mean speed of the engine N بسوة مية
+
+564
+00:47:20,020 --> 00:47:21,580
+و عشرين rpm
+
+565
+00:47:25,190 --> 00:47:29,950
+Find maximum and minimum speed يعني بده N واحد و N
+
+566
+00:47:29,950 --> 00:47:35,950
+اتنين هنحسب
+
+567
+00:47:35,950 --> 00:47:43,490
+M واحد N واحد و N اتنين الان انا عندي اول اشي دلتا
+
+568
+00:47:43,490 --> 00:47:46,990
+E دلتا
+
+569
+00:47:46,990 --> 00:47:51,050
+E بتساوي
+
+570
+00:47:57,210 --> 00:48:07,630
+م كسكوير اوميجا سكوير في ال CS ال
+
+571
+00:48:07,630 --> 00:48:11,150
+delta a معروفة والم معروفة والك معروفة وال اوميجا
+
+572
+00:48:11,150 --> 00:48:15,670
+ال اوميجا يعني دي هي ال اوميجا هتكون تساوة مائة و
+
+573
+00:48:15,670 --> 00:48:24,710
+عشرين في اتنين باي على ستين يعني هتكون اربعة باي
+
+574
+00:48:27,060 --> 00:48:33,400
+radians per second يعني انها ستكون معناه ال CS
+
+575
+00:48:33,400 --> 00:48:43,440
+بالساوى Delta E على M K Square Omega Square Delta
+
+576
+00:48:43,440 --> 00:48:45,740
+E اللي هي ستة و خمسين كيلو نيوتيمتر يعني ستة و
+
+577
+00:48:45,740 --> 00:48:52,780
+خمسين في الف على ال M عندي ستة الف و خمسمية
+
+578
+00:48:55,270 --> 00:49:05,270
+و ال K واحد و تمانية و عشرة تربيع و ال Omega أربع
+
+579
+00:49:05,270 --> 00:49:12,850
+by تربيع يعني في ستاشر by تربيع و بنحسب ال CS طيب
+
+580
+00:49:12,850 --> 00:49:25,220
+ال CS عبارة عن N واحد minus N اتنينعلى N معناته
+
+581
+00:49:25,220 --> 00:49:33,900
+عند N واحد minus N اتنين هتساوي CS في N اللي هي
+
+582
+00:49:33,900 --> 00:49:38,340
+عند ال CS اللي هي ليه هذا حسبناها N اللي هي مية و
+
+583
+00:49:38,340 --> 00:49:42,520
+عشرين هتكون تساوي مية
+
+584
+00:49:42,520 --> 00:49:44,800
+و عشرين هنحسب هذا
+
+585
+00:49:57,710 --> 00:50:03,110
+السياسة ستة خمسين في الف تقسيم
+
+586
+00:50:03,110 --> 00:50:23,550
+ستة الف خمسمية تقسيم تطلع
+
+587
+00:50:23,550 --> 00:50:24,310
+point O
+
+588
+00:50:27,590 --> 00:50:35,630
+او واحد ستة تسعة او واحد
+
+589
+00:50:35,630 --> 00:50:45,970
+ستة تسعة او واحد ستة تسعة او
+
+590
+00:50:45,970 --> 00:50:54,830
+واحد ستة تسعةأو اتنين تلاتة طيب هم يعطياني معلومة
+
+591
+00:50:54,830 --> 00:50:58,270
+تانية بيحكي لي ال min speed بسوء ال N واحد يعني ال
+
+592
+00:50:58,270 --> 00:51:05,830
+N بسوء N واحد زاد N اتنين على اتنين معناه ان N
+
+593
+00:51:05,830 --> 00:51:12,670
+واحد زاد N اتنين هتكون اتنين فان اتنين فمية وعشرين
+
+594
+00:51:12,670 --> 00:51:19,640
+متين واربعين هاي معادلة واحدهذه المعادلة لا ايه اش
+
+595
+00:51:19,640 --> 00:51:27,320
+اتنين الان
+
+596
+00:51:27,320 --> 00:51:35,560
+اجمع المعادلة واحد مع اتنين واحد زائد اتنين هسينا
+
+597
+00:51:35,560 --> 00:51:39,740
+دي ان واحد مع ان واحد اتنين ان واحد ان اتنين بسينا
+
+598
+00:51:39,740 --> 00:51:44,220
+دي اتنين ان واحد هيساوي
+
+599
+00:51:44,220 --> 00:51:46,960
+متين واربين واتنين
+
+600
+00:52:07,650 --> 00:52:15,710
+N1.O2 N2
+
+601
+00:52:17,960 --> 00:52:24,160
+هتكون ميتين واربعين ناقص مية واحد وعشرين point oh
+
+602
+00:52:24,160 --> 00:52:34,760
+one يعني هتكون ميتين واربعين ناقص
+
+603
+00:52:34,760 --> 00:52:40,580
+مية واحد وعشرين point oh one تطلع مية و تمانتاش
+
+604
+00:52:47,910 --> 00:52:54,430
+معناه احنا وجدنا ان واحد وان اتنين شوف
+
+605
+00:52:54,430 --> 00:52:55,310
+example تاني
+
+606
+00:53:19,240 --> 00:53:24,900
+عند فلاي ويل في محرك بخاري الريتزجيريش بتاعها K
+
+607
+00:53:24,900 --> 00:53:32,340
+بالساوية واحد متر وكتلتها
+
+608
+00:53:32,340 --> 00:53:38,120
+ال mass الفين و خمسمية كيلو جرام
+
+609
+00:53:44,090 --> 00:53:52,230
+is 1500 Nm and may be assumed constant ال T mean
+
+610
+00:53:52,230 --> 00:53:59,810
+constant عبارة 1500 Nm
+
+611
+00:53:59,810 --> 00:54:05,710
+determine the angular acceleration of the flywheel
+
+612
+00:54:05,710 --> 00:54:11,450
+فال flywheel هي عليها torque
+
+613
+00:54:14,980 --> 00:54:21,300
+مين نتيجة ال torque حصيلة اللي هياش acceleration I
+
+614
+00:54:21,300 --> 00:54:28,600
+في الفة معناته T مين هيساو
+
+615
+00:54:28,600 --> 00:54:36,740
+I في الفة يعني و I عبارة عن M كتربيع في الفة
+
+616
+00:54:36,740 --> 00:54:43,630
+معناته ال الفة هتكون تساوي T مينعلى M K تربيع
+
+617
+00:54:43,630 --> 00:54:55,910
+التيمين عندي 1500 على ال M 2500 في 1 تربيع يعني
+
+618
+00:54:55,910 --> 00:55:03,870
+هتكون 6 من 10 radian
+
+619
+00:55:03,870 --> 00:55:07,250
+per second squared
+
+620
+00:55:10,700 --> 00:55:15,540
+هذا المطلوب الأول المطلوب التاني the kinetic
+
+621
+00:55:15,540 --> 00:55:19,320
+energy of the flywheel after ten seconds اللي بدت
+
+622
+00:55:19,320 --> 00:55:25,180
+من السفر هي معناته هذه ال dynamics omega بس omega
+
+623
+00:55:25,180 --> 00:55:32,500
+naught زائد alpha في T يعني ال omega بدت من السفر
+
+624
+00:55:32,500 --> 00:55:39,780
+وال alpha ستة من عشرة في T عشر ثوانة يعني ستة
+
+625
+00:55:39,780 --> 00:55:47,080
+radiansبعد عشر ثوان حسينا صورتها ستة radians per
+
+626
+00:55:47,080 --> 00:55:53,740
+second هي خلصنا
+
+627
+00:55:53,740 --> 00:55:54,240
+ال example
+
+628
+00:56:10,800 --> 00:56:13,920
+A horizontal cross-compound steam engine عندي
+
+629
+00:56:13,920 --> 00:56:18,920
+steam engine develops three kilowatt power يعني ال
+
+630
+00:56:18,920 --> 00:56:28,580
+power بتاعته P تلتمية كيلو وات at main speed omega
+
+631
+00:56:28,580 --> 00:56:36,120
+أو نسميه N main
+
+632
+00:56:36,120 --> 00:56:45,790
+speed Nبستوى تسعين RPM يعني Omega هتكون تسعين في
+
+633
+00:56:45,790 --> 00:56:52,230
+اتنين باي على ستين يعني تسعين على ستين واحد و نصف
+
+634
+00:56:52,230 --> 00:56:58,430
+اتنين تلاتة باي Radian
+
+635
+00:56:58,430 --> 00:57:05,270
+per secondthe coefficient of fluctuation of energy
+
+636
+00:57:05,270 --> 00:57:12,570
+as found from the terminal diagram is CE بس
+
+637
+00:57:12,570 --> 00:57:18,250
+0.1 معاملة تذبذب في الطاقة 0.1 and the fluctuation
+
+638
+00:57:18,250 --> 00:57:22,730
+of speed is to be kept within plus or minus 0.1 of
+
+639
+00:57:22,730 --> 00:57:26,150
+mean speed يعني لو حكيت هي ال mean speed
+
+640
+00:57:31,670 --> 00:57:41,790
+هروح هى عندى هين هى ال maximum وهى ال minimum هروح
+
+641
+00:57:41,790 --> 00:57:52,690
+plus نص في المية plus نص اللى هى n وهين minus هين
+
+642
+00:57:52,690 --> 00:57:58,030
+n وهين minus نص على مية طبعا
+
+643
+00:58:01,040 --> 00:58:05,520
+ان معناته هيكون عندي الان واحد الان واحد هعمله مرة
+
+644
+00:58:05,520 --> 00:58:11,080
+واحد وبعدين هتسويه تعرفه لحالك ان واحد ان واحد
+
+645
+00:58:11,080 --> 00:58:14,760
+هتكون
+
+646
+00:58:14,760 --> 00:58:24,380
+تستوي ان زائد point o point o او خمسة ان والان
+
+647
+00:58:24,380 --> 00:58:28,820
+اتنين هتكون ان minus
+
+648
+00:58:32,140 --> 00:58:39,860
+الان الان اتنين سواء ان ماينوس point o او خمسة ان
+
+649
+00:58:39,860 --> 00:58:46,500
+بيعني ال CS ايش هكون سوى ان واحد ماينوس ان اتنين
+
+650
+00:58:46,500 --> 00:58:57,620
+على ان يعني هكون ان زاد point o او خمسة ان ماينوس
+
+651
+00:58:57,620 --> 00:59:00,200
+ان
+
+652
+00:59:02,400 --> 00:59:09,980
+- point o o خمسة n كله على إياش على n هتروح يعني
+
+653
+00:59:09,980 --> 00:59:20,080
+هده هتروح مع هده يعني هكون point
+
+654
+00:59:20,080 --> 00:59:25,700
+o o خمسة زاد point o o خمسة هصير point واحد
+
+655
+00:59:27,000 --> 00:59:31,620
+معناته لو بنحكي لإن ال speed is to be kept within
+
+656
+00:59:31,620 --> 00:59:37,820
+plus or minus 0.5 main speed معناته ال CS هتكون
+
+657
+00:59:37,820 --> 00:59:48,120
+point O O خمسة في اتنين يعني هتكون point O واحد
+
+658
+00:59:54,440 --> 00:59:58,000
+find the weight of the flywheel بده ال mass بتاعة
+
+659
+00:59:58,000 --> 01:00:03,000
+ال flywheel if
+
+660
+01:00:03,000 --> 01:00:07,960
+rate of gyration اذا كان K بالساوية
+
+661
+01:00:07,960 --> 01:00:16,820
+اتنين متر هو معطيني ال power ومعطيني ال mean speed
+
+662
+01:00:16,820 --> 01:00:22,820
+ومعطيني معاملة ذبده في الطاقة ومعطيني معاملة ذبده
+
+663
+01:00:22,820 --> 01:00:31,970
+فيفي ال speed و بده ال mass لل flywheel نرجع
+
+664
+01:00:31,970 --> 01:00:46,930
+لمعادلة بتاعتنا ال CS ايش بيساوي ال CE ال
+
+665
+01:00:46,930 --> 01:00:48,830
+CE بيساوي
+
+666
+01:00:54,210 --> 01:01:01,690
+delta a على ال work done per cycle ال work في ال
+
+667
+01:01:01,690 --> 01:01:07,810
+cycle ال
+
+668
+01:01:07,810 --> 01:01:16,010
+work في ال cycle ال
+
+669
+01:01:16,010 --> 01:01:21,610
+work في ال cycle عبارة
+
+670
+01:01:21,610 --> 01:01:21,870
+عن
+
+671
+01:01:28,890 --> 01:01:33,590
+او بالساوية ال power في
+
+672
+01:01:33,590 --> 01:01:46,030
+ستين على N ممكن انا ابسطها اكتر بالساوية ال work
+
+673
+01:01:46,030 --> 01:01:52,790
+done per cycle بالساوية التمين في
+
+674
+01:01:52,790 --> 01:01:53,170
+ال theta
+
+675
+01:02:03,030 --> 01:02:09,270
+والـ Theta في حالة steam engine بيستوى 2 Pi معناته
+
+676
+01:02:09,270 --> 01:02:22,890
+W الساكل بيستوى T mean بيستوى 2 Pi وT mean بيستوى
+
+677
+01:02:22,890 --> 01:02:28,210
+Power على Omega بيستوى P
+
+678
+01:02:31,400 --> 01:02:38,380
+في ستين على اتنين by في ايش في N capital يعني
+
+679
+01:02:38,380 --> 01:02:42,880
+بيصير ال W cycle ال
+
+680
+01:02:42,880 --> 01:02:54,480
+W ال cycle هتساوي ال T main اللي هي P في ستين على
+
+681
+01:02:54,480 --> 01:03:03,730
+اتنين by في N في ال theta في اتنين byيعني هتكون P
+
+682
+01:03:03,730 --> 01:03:11,670
+في ستين على N capital يعني ال power عند انا كانت
+
+683
+01:03:11,670 --> 01:03:19,830
+تلاتمية كل وقت يعني تلاتمية في الف في ستينعلى الان
+
+684
+01:03:19,830 --> 01:03:29,730
+ماعطينيها تسعين سفر فعندي سفر مع سفر تلاتة اتنين
+
+685
+01:03:29,730 --> 01:03:35,070
+تلاتة تلاتة اش مية يعني هيكون ال W بالصحيح كان
+
+686
+01:03:35,070 --> 01:03:44,790
+عندي هاي اتنين في مية متين الف متين الف نيوتن متر
+
+687
+01:03:44,790 --> 01:03:47,230
+هذا ال work per
+
+688
+01:03:51,340 --> 01:03:57,300
+معطين ال CE معناته انا عندي Delta E Delta E هتكون
+
+689
+01:03:57,300 --> 01:04:03,660
+ساوة CE في ال work per cycle ال CE معطينيها point
+
+690
+01:04:03,660 --> 01:04:10,020
+one في متين الف بالسيرة
+
+691
+01:04:10,020 --> 01:04:15,040
+عندي ساوة عشرين الف نيوتن
+
+692
+01:04:15,040 --> 01:04:25,190
+مترو ال delta E نرجع نروح نشوفها ال
+
+693
+01:04:25,190 --> 01:04:33,710
+delta E بالساوية
+
+694
+01:04:33,710 --> 01:04:37,330
+M K
+
+695
+01:04:37,330 --> 01:04:46,360
+square Omega square في ال CS يعني ال Mعشان كنت
+
+696
+01:04:46,360 --> 01:04:53,220
+اسوي delta E على K square omega square في ال CS
+
+697
+01:04:53,220 --> 01:05:01,480
+يعني ال delta E يعني دي عشرين الف على
+
+698
+01:05:01,480 --> 01:05:09,420
+K square وين K ماعطيني ال K هو ماعطيني
+
+699
+01:05:09,420 --> 01:05:10,240
+ال rate of variation
+
+700
+01:05:15,670 --> 01:05:20,990
+أتنين على كسكوير في أربع على أربع والأوميجا عندي
+
+701
+01:05:20,990 --> 01:05:28,670
+تلاتة باية على تسعة بايت تربية و ال CS ال CS اللي
+
+702
+01:05:28,670 --> 01:05:34,010
+هي point O واحد تطلع
+
+703
+01:05:34,010 --> 01:05:39,910
+ال ال mass عشرين
+
+704
+01:05:39,910 --> 01:05:40,350
+ألف
+
+705
+01:05:43,230 --> 01:05:58,650
+تقسيم اربعة تقسيم تسعة تقسيم تطلع
+
+706
+01:05:58,650 --> 01:06:03,370
+خمس تلاف ستمية و خمس تلاتين خمس تلاف و ستمية و خمس
+
+707
+01:06:03,370 --> 01:06:09,710
+تلاتين كيلو اجرام يعني حوالي خمسة و ستة من عشرة طن
+
+708
+01:06:09,710 --> 01:06:12,230
+خمسة و ستة من عشرة طن
+
+709
+01:06:21,110 --> 01:06:38,510
+طيب حل مثال تاني
+
+710
+01:06:38,510 --> 01:06:42,430
+turning on the ground for a petrol engine is drawn
+
+711
+01:06:42,430 --> 01:06:45,730
+to following scales في عندى turning on the ground
+
+712
+01:06:48,060 --> 01:06:58,340
+turning moment diagram لمحرك هذا هو عند
+
+713
+01:06:58,340 --> 01:07:05,840
+هنا ال crank angle وهنا turning moment to
+
+714
+01:07:05,840 --> 01:07:12,060
+the following scales turning moment كل
+
+715
+01:07:12,060 --> 01:07:15,940
+واحد من اللي بيستوى كل واحد من اللي كل واحد من
+
+716
+01:07:15,940 --> 01:07:16,120
+اللي
+
+717
+01:07:20,770 --> 01:07:29,130
+يعادل خمسة نيوتن متر turning moment وكل واحد من
+
+718
+01:07:29,130 --> 01:07:33,430
+اللي على ال x axis في الواحد من اللي على ال x axis
+
+719
+01:07:33,430 --> 01:07:39,930
+يعادل واحد درجة turning moment diagram repeats
+
+720
+01:07:39,930 --> 01:07:42,510
+itself at every half revolution of
+
+721
+01:07:45,290 --> 01:07:48,290
+of the engine and areas above and below mean
+
+722
+01:07:48,290 --> 01:07:52,330
+turning moment line taken in order are 295, 685,
+
+723
+01:07:52,530 --> 01:07:54,930
+40, 340, 960, 290,000,000,000,000,000,000,000,000
+
+724
+01:07:54,930 --> 01:07:55,150
+,000,000,000,000,000,000,000,000,000,000,000,000
+
+725
+01:07:55,150 --> 01:07:56,970
+,000,000,000,000,000,000,000,000,000,000,000,000
+
+726
+01:07:56,970 --> 01:07:58,830
+,000,000,000,000,000,000,000,000,000,000,000,000
+
+727
+01:07:58,830 --> 01:07:58,850
+,000,000,000,000,000,000,000,000,000,000,000,000
+
+728
+01:07:58,850 --> 01:08:00,850
+,000,000,000,000,000,000,000,000,000,000,000,000
+
+729
+01:08:00,850 --> 01:08:00,930
+,000,000,000,000,000,000,000,000,000,000,000,000
+
+730
+01:08:00,930 --> 01:08:00,970
+,000,000,000,000,000,000,000,000,000,000,000,000
+
+731
+01:08:00,970 --> 01:08:04,050
+,000,000,000,000
+
+732
+01:08:18,240 --> 01:08:22,940
+rotating parts are equivalent to a mass of 36
+
+733
+01:08:22,940 --> 01:08:26,420
+kilogram at a radius of gyration كل ال mass اللي
+
+734
+01:08:26,420 --> 01:08:32,640
+بتدور كتلة 36 kilogram و radius of gyration K
+
+735
+01:08:32,640 --> 01:08:41,380
+ماتينها 150 millimeter 150 millimeter determine
+
+736
+01:08:41,380 --> 01:08:43,440
+the coefficient of fluctuation of speed with the
+
+737
+01:08:43,440 --> 01:08:43,660
+CS
+
+738
+01:08:48,130 --> 01:08:51,630
+when the engine runs لما يكون عندك ال N mean speed
+
+739
+01:08:51,630 --> 01:09:01,510
+N سواء الف تانمية rpm طيب
+
+740
+01:09:01,510 --> 01:09:06,830
+بدأ
+
+741
+01:09:06,830 --> 01:09:12,270
+اوجد انا باختصار فكرة الحل ان انا هوجد ال delta E
+
+742
+01:09:12,270 --> 01:09:21,970
+بدأ اوجد delta E بدأ احكي delta Eبسوء M K Square
+
+743
+01:09:21,970 --> 01:09:29,490
+Omega Square في ال CS لأن لازم اوجد دلت انا ال M
+
+744
+01:09:29,490 --> 01:09:33,850
+معروفة عندي و ال K معروفة و ال Omega ال Omega بسوء
+
+745
+01:09:33,850 --> 01:09:43,050
+الفينمية في اتنين باي على ستين هتساوي تلاتين
+
+746
+01:09:43,050 --> 01:09:43,690
+في اتنين
+
+747
+01:09:46,660 --> 01:09:50,540
+عندك ستين ألف الميان ستين تلاتين تلاتين في اتنين
+
+748
+01:09:50,540 --> 01:10:00,600
+ستين ستين باي ال omega radians per second معناته
+
+749
+01:10:00,600 --> 01:10:02,940
+مطلوب اعرف ايه من ال time on the ground بتاع اعرف
+
+750
+01:10:02,940 --> 01:10:05,340
+ال delta ايه
+
+751
+01:10:14,510 --> 01:10:19,530
+الان هفترض ان ال
+
+752
+01:10:19,530 --> 01:10:27,250
+e عند a بدي احكي ال point و
+
+753
+01:10:27,250 --> 01:10:32,010
+ال a عند
+
+754
+01:10:32,010 --> 01:10:36,050
+a بدي
+
+755
+01:10:36,050 --> 01:10:42,890
+افترض عند a اللي هي اي انا ايا اي ال energy عند b
+
+756
+01:10:44,550 --> 01:10:51,890
+هتكون e زاد 295 and
+
+757
+01:10:51,890 --> 01:10:58,170
+c هتطرح
+
+758
+01:10:59,060 --> 01:11:01,580
+متين و خمس تسعين ناقص ستمية و خمس وتمانين يعني
+
+759
+01:11:01,580 --> 01:11:04,280
+هتكون متين و خمس تسعين ا زائد متين و خمس تسعين
+
+760
+01:11:04,280 --> 01:11:10,620
+ناقص ستمية و خمس و تمانين متين و خمس تسعين ناقص
+
+761
+01:11:10,620 --> 01:11:19,160
+ستمية و خمس و تمانين هتكون ا ناقص تلتنية و تسعين
+
+762
+01:11:19,160 --> 01:11:27,560
+عندي حضف الهاش اربعين زائد اربعين
+
+763
+01:11:29,470 --> 01:11:38,930
+E ناقص تلت مية و خمسين عند E هطرح تلت مية و أربعين
+
+764
+01:11:38,930 --> 01:11:47,870
+ناقص تلت مية و أربعين ساوي E ناقص
+
+765
+01:11:47,870 --> 01:11:55,470
+تلت مية و تنسين عند F عند
+
+766
+01:11:55,470 --> 01:12:05,130
+F هضفلهاتسعمية و ستين زائد تسعمية و ستين هتكون E
+
+767
+01:12:05,130 --> 01:12:09,190
+زائد
+
+768
+01:12:09,190 --> 01:12:15,930
+متين و سبعين عن G هطلح منها متين و سبعين بالصف E
+
+769
+01:12:15,930 --> 01:12:20,890
+معناته ال energy وين maximum ال energy maximum عند
+
+770
+01:12:20,890 --> 01:12:24,530
+B هي دي ال maximum
+
+771
+01:12:27,720 --> 01:12:41,360
+win minimum and E معناته
+
+772
+01:12:41,360 --> 01:12:52,780
+Delta A هتكون تساوي Delta
+
+773
+01:12:52,780 --> 01:12:57,100
+A هتكون E Max
+
+774
+01:13:00,390 --> 01:13:10,170
+minus E minimum هتساوي اللي هي E زاد 295 E زاد 295
+
+775
+01:13:10,170 --> 01:13:17,690
+minus E ناقص
+
+776
+01:13:17,690 --> 01:13:27,550
+690 يعني هتساوي هتروح ال E مع ال E 295 زاد 295
+
+777
+01:13:31,170 --> 01:13:37,390
+زائد ستمية وتسعين زائد ستمية و تسعين تسعمية و خمسة
+
+778
+01:13:37,390 --> 01:13:45,270
+و تمانين تسعمية
+
+779
+01:13:45,270 --> 01:13:50,890
+و خمسة و تمانين انتبه
+
+780
+01:13:50,890 --> 01:13:58,380
+مليمتر مربع هتكون هذه بدي احولها كل مليمترواحد
+
+781
+01:13:58,380 --> 01:14:04,480
+ميلي متر على ال turning moment scale خمسة نيوت
+
+782
+01:14:04,480 --> 01:14:12,220
+يعني هتكون تسعمية وخمسة و تمانين في خمسة نيوتن متر
+
+783
+01:14:12,220 --> 01:14:15,900
+وكل واحد ميلي متر عبارة عن one degree ال one
+
+784
+01:14:15,900 --> 01:14:22,120
+degree في ال radians الآن ال
+
+785
+01:14:22,120 --> 01:14:30,180
+pi عبارة عن مية و تمانين درجةيعني الدرجة ال باى ال
+
+786
+01:14:30,180 --> 01:14:38,500
+180 درجة equivalent ل باى الدرجة هي 1 في باى على
+
+787
+01:14:38,500 --> 01:14:44,760
+180 يعني عشان احولها ل نيوتن متر حسب ان انت تستخدم
+
+788
+01:14:44,760 --> 01:14:49,140
+185 في
+
+789
+01:14:49,140 --> 01:14:55,160
+5 في باى تقسم 180
+
+790
+01:14:57,460 --> 01:15:03,420
+تطلع خمس تمانين بون تسعة واحد اربع خمس تمانين
+
+791
+01:15:03,420 --> 01:15:07,820
+النيوتن
+
+792
+01:15:07,820 --> 01:15:12,780
+متر معناته انا عرفت ال delta E لان ال CS عندها
+
+793
+01:15:12,780 --> 01:15:22,320
+تكون Delta E على M K Square Omega Square Delta E
+
+794
+01:15:22,320 --> 01:15:28,800
+عند خمس تمانين بون تسعة واحد اربععلى ال mass ستة
+
+795
+01:15:28,800 --> 01:15:34,500
+وتلاتين كيلو في ال k اللي هي point واحد خمسة تربيع
+
+796
+01:15:34,500 --> 01:15:43,840
+على ال omega اللي هي ستين by ستين by الكل تربيع
+
+797
+01:15:43,840 --> 01:15:45,400
+حتطلع السياسة ان ده
+
+798
+01:15:49,360 --> 01:15:52,820
+يعني انا هاكم عندى خمسة و تمانين خمسة و تمانين
+
+799
+01:15:52,820 --> 01:16:00,200
+point تسعة واحد اربعة تقسيم ستة و تلاتين تقسيم
+
+800
+01:16:00,200 --> 01:16:04,260
+point واحد خمسة تقسيم point واحد خمسة
+
+801
+01:16:23,930 --> 01:16:35,930
+الـ CS هو Delta E على
+
+802
+01:16:35,930 --> 01:16:46,110
+M كتر بيها الـ M 36 اه
+
+803
+01:16:46,110 --> 01:16:52,400
+في غلطينيعني حيكون خمسة تمانين point تسعة واحد
+
+804
+01:16:52,400 --> 01:17:04,000
+اربع تقسيم ستة و تلاتين تقسيم point واحد خمسة
+
+805
+01:17:04,000 --> 01:17:13,960
+تطلع
+
+806
+01:17:13,960 --> 01:17:22,010
+point O O تلاتة point Oو تلاتة هذا التذبب في
+
+807
+01:17:22,010 --> 01:17:28,330
+الصراعة point o o تلاتة هات طبعا في examples كتيرة
+
+808
+01:17:28,330 --> 01:17:34,510
+يعني في عند اتوقع تحلوها مع المعيد خلي اشي للمعيد
+
+809
+01:17:34,510 --> 01:17:41,670
+ماشي في تفاصيل كتير اقراوها في الكتاب طبعا
+
+810
+01:17:41,670 --> 01:17:44,750
+المحاضرة الجاية بنكمل اعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/6YTti85ZwJU_raw.json b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/6YTti85ZwJU_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..4e8e3f785ec97e71e4c9924b5eed15bfdde4a01f
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/6YTti85ZwJU_raw.json
@@ -0,0 +1 @@
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"end": 700.52, "word": " dead", "probability": 0.9638671875}, {"start": 700.52, "end": 701.38, "word": " center", "probability": 0.91552734375}], "temperature": 1.0}, {"id": 28, "seek": 72656, "start": 707.48, "end": 726.56, "text": "يعني هذا بيكون نازل بيفتح و هذا ايش مسكر and here ال bottom dead ال center", "tokens": [40228, 22653, 23758, 4724, 1829, 30544, 8717, 31377, 1211, 4724, 33911, 2655, 5016, 4032, 23758, 1975, 1829, 8592, 3714, 3794, 37983, 293, 510, 2423, 2767, 3116, 2423, 3056], "avg_logprob": -0.3978987068965517, "compression_ratio": 1.1111111111111112, "no_speech_prob": 0.0, "words": [{"start": 707.48, "end": 708.38, "word": "يعني", "probability": 0.9091796875}, {"start": 708.38, "end": 709.28, "word": " هذا", "probability": 0.748046875}, {"start": 709.28, "end": 709.6, "word": " بيكون", "probability": 0.7735188802083334}, {"start": 709.6, "end": 709.98, "word": " نازل", "probability": 0.9716796875}, {"start": 709.98, "end": 710.48, "word": " بيفتح", "probability": 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اللي هي ال suction stroke بعدين تيجي ال compression stroke compression stroke هي واحد اتنين في ال compression stroke ال piston بيكون في الحالة هذه في ال compression stroke بيكون عندى ال valve ال fuel", "tokens": [3224, 24192, 13672, 1829, 39896, 2423, 40431, 12403, 39182, 9957, 6055, 1829, 7435, 1829, 2423, 19355, 12403, 19355, 12403, 39896, 36764, 24401, 1975, 2655, 1863, 9957, 8978, 2423, 19355, 12403, 2423, 30002, 4724, 1829, 30544, 8978, 21542, 6027, 3660, 29538, 8978, 2423, 19355, 12403, 4724, 1829, 30544, 43242, 7578, 2423, 15294, 2423, 6616], "avg_logprob": -0.2090567104794361, "compression_ratio": 1.9097222222222223, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 751.51, "end": 751.83, "word": "هذه", "probability": 0.6044921875}, {"start": 751.83, "end": 751.91, "word": " اللي", "probability": 0.78173828125}, {"start": 751.91, "end": 752.11, "word": " هي", "probability": 0.91357421875}, {"start": 752.11, "end": 752.33, "word": " ال", "probability": 0.68310546875}, 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cylinders بتكون صوتها أنعم بكتير من الأربع cylinders اللي عندك المحرك الاحتراق الداخلي بتاع ال motorcycle بتكون مزعج كتير صوته عاليه لأنه ال fluctuation of energy بتكون فيه عالية طيب ال flywheel ال manuela", "tokens": [28820, 3714, 4587, 6027, 16712, 8848, 3555, 8848, 3555, 6225, 8592, 7649, 39896, 4117, 21136, 1829, 9640, 9307, 13672, 1829, 39894, 30544, 50113, 15040, 46811, 7649, 10632, 4386, 46811, 7649, 10632, 42166, 39894, 30544, 20328, 35473, 11296, 14739, 25957, 4724, 4117, 2655, 13546, 9154, 16247, 25513, 3615, 42166, 13672, 1829, 43242, 4117, 9673, 5016, 31747, 42963, 33753, 23557, 4587, 32748, 47283, 20292, 39894, 45761, 2423, 20554, 39894, 30544, 3714, 11622, 3615, 7435, 9122, 2655, 13546, 20328, 35473, 3224, 6225, 6027, 1829, 3224, 5296, 33456, 3224, 2423, 23448, 16073, 295, 2281, 39894, 30544, 8978, 3224, 6225, 6027, 10632, 23032, 1829, 3555, 2423, 3603, 22830, 2423, 587, 16079], "avg_logprob": -0.17873831580732472, "compression_ratio": 1.7755102040816326, 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steam engine develops three kilowatt power يعني ال power بتاعته P تلتمية كيلو وات at main speed omega أو نسميه N main speed N", "tokens": [32, 12750, 3278, 12, 21541, 554, 11952, 2848, 18871, 16254, 11952, 2848, 25453, 1045, 41295, 1591, 1347, 37495, 22653, 2423, 1347, 39894, 995, 34268, 3224, 430, 6055, 1211, 2655, 2304, 10632, 9122, 26895, 2407, 4032, 9307, 412, 2135, 3073, 10498, 34051, 8717, 38251, 1829, 3224, 426, 2135, 3073, 426], "avg_logprob": -0.32687500476837156, "compression_ratio": 1.2699386503067485, "no_speech_prob": 0.0, "words": [{"start": 3370.8, "end": 3371.0, "word": "A", "probability": 0.05792236328125}, {"start": 3371.0, "end": 3371.56, "word": " horizontal", "probability": 0.80810546875}, {"start": 3371.56, "end": 3372.16, "word": " cross", "probability": 0.82275390625}, {"start": 3372.16, "end": 3372.76, "word": "-compound", "probability": 0.7859700520833334}, {"start": 3372.76, "end": 3373.12, "word": " steam", "probability": 0.9677734375}, {"start": 3373.12, 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344615, "start": 3421.67, "end": 3446.15, "text": "the coefficient of fluctuation of energy as found from the terminal diagram is CE بس 0.1 معاملة تذبذب في الطاقة 0.1 and the fluctuation of speed is to be kept within plus or minus 0.1 of mean speed يعني لو حكيت هي ال mean speed", "tokens": [3322, 17619, 295, 23448, 16073, 295, 2281, 382, 1352, 490, 264, 14709, 10686, 307, 28109, 4724, 3794, 1958, 13, 16, 20449, 10943, 37977, 6055, 8848, 3555, 8848, 3555, 8978, 41950, 995, 28671, 1958, 13, 16, 293, 264, 23448, 16073, 295, 3073, 307, 281, 312, 4305, 1951, 1804, 420, 3175, 1958, 13, 16, 295, 914, 3073, 37495, 22653, 45164, 11331, 4117, 36081, 39896, 2423, 914, 3073], "avg_logprob": -0.2980587044448564, "compression_ratio": 1.3505154639175259, "no_speech_prob": 0.0, "words": [{"start": 3421.67, "end": 3422.03, "word": "the", "probability": 0.06903076171875}, {"start": 3422.03, "end": 3422.63, "word": " coefficient", "probability": 0.86474609375}, {"start": 3422.63, "end": 3423.37, "word": 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"probability": 0.724609375}, {"start": 4528.26, "end": 4528.8, "word": " ستة", "probability": 0.8058268229166666}, {"start": 4528.8, "end": 4529.4, "word": " وتلاتين", "probability": 0.872802734375}, {"start": 4529.4, "end": 4530.16, "word": " كيلو", "probability": 0.9293619791666666}, {"start": 4530.16, "end": 4531.12, "word": " في", "probability": 0.6572265625}, {"start": 4531.12, "end": 4531.38, "word": " ال", "probability": 0.81640625}, {"start": 4531.38, "end": 4531.56, "word": " k", "probability": 0.23193359375}, {"start": 4531.56, "end": 4531.68, "word": " اللي", "probability": 0.696533203125}, {"start": 4531.68, "end": 4531.82, "word": " هي", "probability": 0.84228515625}, {"start": 4531.82, "end": 4532.18, "word": " point", "probability": 0.6552734375}, {"start": 4532.18, "end": 4532.7, "word": " واحد", "probability": 0.968994140625}, {"start": 4532.7, "end": 4533.6, "word": " خمسة", "probability": 0.9344482421875}, {"start": 4533.6, "end": 4534.5, "word": " تربيع", "probability": 0.873046875}, {"start": 4534.5, "end": 4535.74, "word": " على", "probability": 0.7666015625}, {"start": 4535.74, "end": 4537.26, "word": " ال", "probability": 0.95849609375}, {"start": 4537.26, "end": 4537.72, "word": " omega", "probability": 0.62109375}, {"start": 4537.72, "end": 4539.2, "word": " اللي", "probability": 0.96826171875}, {"start": 4539.2, "end": 4539.4, "word": " هي", "probability": 0.931640625}, {"start": 4539.4, "end": 4540.04, "word": " ستين", "probability": 0.9581705729166666}, {"start": 4540.04, "end": 4540.44, "word": " by", "probability": 0.73876953125}, {"start": 4540.44, "end": 4541.18, "word": " ستين", "probability": 0.9768880208333334}, {"start": 4541.18, "end": 4541.76, "word": " by", "probability": 0.8720703125}, {"start": 4541.76, "end": 4543.3, "word": " الكل", "probability": 0.748779296875}, {"start": 4543.3, "end": 4543.84, "word": " تربيع", "probability": 0.88720703125}, {"start": 4543.84, "end": 4544.5, "word": " حتطلع", "probability": 0.7512451171875}, {"start": 4544.5, "end": 4545.06, "word": " السياسة", "probability": 0.9100341796875}, {"start": 4545.06, "end": 4545.22, "word": " ان", "probability": 0.450439453125}, {"start": 4545.22, "end": 4545.4, "word": " ده", "probability": 0.636474609375}], "temperature": 1.0}, {"id": 174, "seek": 456426, "start": 4549.36, "end": 4564.26, "text": "يعني انا هاكم عندى خمسة و تمانين خمسة و تمانين point تسعة واحد اربعة تقسيم ستة و تلاتين تقسيم point واحد خمسة تقسيم point واحد خمسة", "tokens": [40228, 22653, 1975, 8315, 8032, 995, 24793, 43242, 7578, 16490, 2304, 3794, 3660, 4032, 46811, 7649, 9957, 16490, 2304, 3794, 3660, 4032, 46811, 7649, 9957, 935, 6055, 3794, 27884, 36764, 24401, 1975, 25513, 27884, 6055, 4587, 3794, 32640, 8608, 2655, 3660, 4032, 6055, 1211, 9307, 9957, 6055, 4587, 3794, 32640, 935, 36764, 24401, 16490, 2304, 3794, 3660, 6055, 4587, 3794, 32640, 935, 36764, 24401, 16490, 2304, 3794, 3660], "avg_logprob": -0.1938405736632969, "compression_ratio": 2.0, "no_speech_prob": 0.0, "words": [{"start": 4549.36, "end": 4549.64, "word": "يعني", "probability": 0.804443359375}, {"start": 4549.64, "end": 4549.72, "word": " انا", "probability": 0.6142578125}, {"start": 4549.72, "end": 4549.84, "word": " هاكم", "probability": 0.4300944010416667}, {"start": 4549.84, "end": 4550.12, "word": " عندى", "probability": 0.7578125}, {"start": 4550.12, "end": 4550.52, "word": " خمسة", "probability": 0.8299560546875}, {"start": 4550.52, "end": 4550.54, "word": " و", "probability": 0.69287109375}, {"start": 4550.54, "end": 4551.02, "word": " تمانين", "probability": 0.8929036458333334}, {"start": 4551.02, "end": 4552.3, "word": " خمسة", "probability": 0.7546539306640625}, {"start": 4552.3, "end": 4552.4, "word": " و", "probability": 0.89599609375}, {"start": 4552.4, "end": 4552.82, "word": " تمانين", "probability": 0.99169921875}, {"start": 4552.82, "end": 4553.88, "word": " point", "probability": 0.76513671875}, {"start": 4553.88, "end": 4554.46, "word": " تسعة", "probability": 0.8629557291666666}, {"start": 4554.46, "end": 4555.02, "word": " واحد", "probability": 0.906494140625}, {"start": 4555.02, "end": 4555.58, "word": " اربعة", "probability": 0.7154947916666666}, {"start": 4555.58, "end": 4557.18, "word": " تقسيم", "probability": 0.9228515625}, {"start": 4557.18, "end": 4557.88, "word": " ستة", "probability": 0.98046875}, {"start": 4557.88, "end": 4558.0, "word": " و", "probability": 0.6806640625}, {"start": 4558.0, "end": 4558.68, "word": " تلاتين", "probability": 0.967041015625}, {"start": 4558.68, "end": 4560.2, "word": " تقسيم", "probability": 0.9625244140625}, {"start": 4560.2, "end": 4560.96, "word": " point", "probability": 0.9736328125}, {"start": 4560.96, "end": 4561.36, "word": " واحد", "probability": 0.986328125}, {"start": 4561.36, "end": 4561.96, "word": " خمسة", "probability": 0.9713134765625}, {"start": 4561.96, "end": 4562.66, "word": " تقسيم", "probability": 0.9779052734375}, {"start": 4562.66, "end": 4563.26, "word": " point", "probability": 0.98193359375}, {"start": 4563.26, "end": 4563.66, "word": " واحد", "probability": 0.9853515625}, {"start": 4563.66, "end": 4564.26, "word": " خمسة", "probability": 0.9915771484375}], "temperature": 1.0}, {"id": 175, "seek": 460691, "start": 4583.93, "end": 4606.91, "text": "الـ CS هو Delta E على M كتر بيها الـ M 36 اه في غلطين", "tokens": [6027, 39184, 9460, 31439, 18183, 462, 15844, 376, 9122, 2655, 2288, 4724, 1829, 11296, 2423, 39184, 376, 8652, 1975, 3224, 8978, 32771, 1211, 9566, 9957], "avg_logprob": -0.4065504727455286, "compression_ratio": 0.963855421686747, "no_speech_prob": 0.0, "words": [{"start": 4583.93, "end": 4584.81, "word": "الـ", "probability": 0.703369140625}, {"start": 4584.81, "end": 4585.03, "word": " CS", "probability": 0.367431640625}, {"start": 4585.03, "end": 4585.37, "word": " هو", "probability": 0.1474609375}, {"start": 4585.37, "end": 4585.69, "word": " Delta", "probability": 0.45654296875}, {"start": 4585.69, "end": 4586.29, "word": " E", "probability": 0.939453125}, {"start": 4586.29, "end": 4595.93, "word": " على", "probability": 0.8408203125}, {"start": 4595.93, "end": 4596.37, "word": " M", "probability": 0.919921875}, {"start": 4596.37, "end": 4596.87, "word": " كتر", "probability": 0.8089192708333334}, {"start": 4596.87, "end": 4597.07, "word": " بيها", "probability": 0.5511881510416666}, {"start": 4597.07, "end": 4597.15, "word": " الـ", "probability": 0.654052734375}, {"start": 4597.15, "end": 4597.23, "word": " M", "probability": 0.91064453125}, {"start": 4597.23, "end": 4597.69, "word": " 36", "probability": 0.51025390625}, {"start": 4597.69, "end": 4606.11, "word": " اه", "probability": 0.6446533203125}, {"start": 4606.11, "end": 4606.39, "word": " في", "probability": 0.83544921875}, {"start": 4606.39, "end": 4606.91, "word": " غلطين", "probability": 0.9163818359375}], "temperature": 1.0}, {"id": 176, "seek": 463618, "start": 4608.26, "end": 4636.18, "text": "يعني حيكون خمسة تمانين point تسعة واحد اربع تقسيم ستة و تلاتين تقسيم point واحد خمسة تطلع point O O تلاتة point O", "tokens": [40228, 22653, 11331, 1829, 30544, 16490, 2304, 3794, 3660, 46811, 7649, 9957, 935, 6055, 3794, 27884, 36764, 24401, 1975, 25513, 3615, 6055, 4587, 3794, 32640, 8608, 2655, 3660, 4032, 6055, 1211, 9307, 9957, 6055, 4587, 3794, 32640, 935, 36764, 24401, 16490, 2304, 3794, 3660, 6055, 9566, 1211, 3615, 935, 422, 422, 6055, 1211, 9307, 3660, 935, 422], "avg_logprob": -0.19517780403638707, "compression_ratio": 1.5739130434782609, "no_speech_prob": 0.0, "words": [{"start": 4608.26, "end": 4608.56, "word": "يعني", "probability": 0.54901123046875}, {"start": 4608.56, "end": 4608.9, "word": " حيكون", "probability": 0.7052815755208334}, {"start": 4608.9, "end": 4609.4, "word": " خمسة", "probability": 0.9306640625}, {"start": 4609.4, "end": 4609.92, "word": " تمانين", "probability": 0.8912760416666666}, {"start": 4609.92, "end": 4610.44, "word": " point", "probability": 0.478759765625}, {"start": 4610.44, "end": 4611.96, "word": " تسعة", "probability": 0.9405924479166666}, {"start": 4611.96, "end": 4612.4, "word": " واحد", "probability": 0.921875}, {"start": 4612.4, "end": 4612.96, "word": " اربع", "probability": 0.7664388020833334}, {"start": 4612.96, "end": 4614.54, "word": " تقسيم", "probability": 0.9345703125}, {"start": 4614.54, "end": 4616.08, "word": " ستة", "probability": 0.9697265625}, {"start": 4616.08, "end": 4616.2, "word": " و", "probability": 0.53173828125}, {"start": 4616.2, "end": 4616.86, "word": " تلاتين", "probability": 0.92236328125}, {"start": 4616.86, "end": 4618.5, "word": " تقسيم", "probability": 0.9566650390625}, {"start": 4618.5, "end": 4619.6, "word": " point", "probability": 0.92236328125}, {"start": 4619.6, "end": 4620.02, "word": " واحد", "probability": 0.978271484375}, {"start": 4620.02, "end": 4624.0, "word": " خمسة", "probability": 0.9525146484375}, {"start": 4624.0, "end": 4633.96, "word": " تطلع", "probability": 0.9039306640625}, {"start": 4633.96, "end": 4634.28, "word": " point", "probability": 0.96533203125}, {"start": 4634.28, "end": 4634.58, "word": " O", "probability": 0.290283203125}, {"start": 4634.58, "end": 4634.8, "word": " O", "probability": 0.5458984375}, {"start": 4634.8, "end": 4635.36, "word": " تلاتة", "probability": 0.9049072265625}, {"start": 4635.36, "end": 4635.86, "word": " point", "probability": 0.90625}, {"start": 4635.86, "end": 4636.18, "word": " O", "probability": 0.88623046875}], "temperature": 1.0}, {"id": 177, "seek": 466475, "start": 4638.53, "end": 4664.75, "text": "و تلاتة هذا التذبب في الصراعة point o o تلاتة هات طبعا في examples كتيرة يعني في عند اتوقع تحلوها مع المعيد خلي اشي للمعيد ماشي في تفاصيل كتير اقراوها في الكتاب طبعا المحاضرة الجاية بنكمل اعطيكوا العافية", "tokens": [2407, 6055, 1211, 9307, 3660, 23758, 16712, 8848, 3555, 3555, 8978, 31767, 23557, 3615, 3660, 935, 277, 277, 6055, 1211, 9307, 3660, 8032, 9307, 23032, 3555, 3615, 995, 8978, 5110, 9122, 2655, 48923, 37495, 22653, 8978, 43242, 1975, 2655, 30543, 3615, 6055, 5016, 1211, 2407, 11296, 20449, 9673, 3615, 25708, 16490, 20292, 1975, 8592, 1829, 5296, 19528, 3615, 25708, 3714, 33599, 1829, 8978, 6055, 5172, 33546, 26895, 9122, 2655, 13546, 1975, 4587, 23557, 2407, 11296, 8978, 33251, 2655, 16758, 23032, 3555, 3615, 995, 9673, 5016, 46958, 25720, 25724, 995, 10632, 44945, 24793, 1211, 1975, 3615, 9566, 1829, 4117, 14407, 18863, 31845, 10632], "avg_logprob": -0.23088592609155525, "compression_ratio": 1.7524752475247525, "no_speech_prob": 3.814697265625e-06, "words": [{"start": 4638.53, "end": 4638.89, "word": "و", "probability": 0.16162109375}, {"start": 4638.89, "end": 4639.69, "word": " تلاتة", "probability": 0.8321533203125}, {"start": 4639.69, "end": 4640.91, "word": " هذا", "probability": 0.79833984375}, {"start": 4640.91, "end": 4641.81, "word": " التذبب", "probability": 0.80389404296875}, {"start": 4641.81, "end": 4642.01, "word": " في", "probability": 0.83642578125}, {"start": 4642.01, "end": 4642.77, "word": " الصراعة", "probability": 0.65234375}, {"start": 4642.77, "end": 4643.05, "word": " point", "probability": 0.791015625}, {"start": 4643.05, "end": 4643.39, "word": " o", "probability": 0.283935546875}, {"start": 4643.39, "end": 4643.65, "word": " o", "probability": 0.85400390625}, {"start": 4643.65, "end": 4645.43, "word": " تلاتة", "probability": 0.9071044921875}, {"start": 4645.43, "end": 4645.99, "word": " هات", "probability": 0.3287353515625}, {"start": 4645.99, "end": 4646.23, "word": " طبعا", "probability": 0.9864501953125}, {"start": 4646.23, "end": 4646.45, "word": " في", "probability": 0.8955078125}, {"start": 4646.45, "end": 4647.25, "word": " examples", "probability": 0.64453125}, {"start": 4647.25, "end": 4648.33, "word": " كتيرة", "probability": 0.8330078125}, {"start": 4648.33, "end": 4648.59, "word": " يعني", "probability": 0.73876953125}, {"start": 4648.59, "end": 4648.77, "word": " في", "probability": 0.896484375}, {"start": 4648.77, "end": 4648.97, "word": " عند", "probability": 0.396240234375}, {"start": 4648.97, "end": 4651.23, "word": " اتوقع", "probability": 0.858642578125}, {"start": 4651.23, "end": 4651.71, "word": " تحلوها", "probability": 0.96884765625}, {"start": 4651.71, "end": 4651.95, "word": " مع", "probability": 0.96630859375}, {"start": 4651.95, "end": 4652.99, "word": " المعيد", "probability": 0.9739583333333334}, {"start": 4652.99, "end": 4653.45, "word": " خلي", "probability": 0.764892578125}, {"start": 4653.45, "end": 4653.83, "word": " اشي", "probability": 0.5848795572916666}, {"start": 4653.83, "end": 4654.51, "word": " للمعيد", "probability": 0.896484375}, {"start": 4654.51, "end": 4656.91, "word": " ماشي", "probability": 0.9425455729166666}, {"start": 4656.91, "end": 4659.69, "word": " في", "probability": 0.76318359375}, {"start": 4659.69, "end": 4660.17, "word": " تفاصيل", "probability": 0.94580078125}, {"start": 4660.17, "end": 4660.39, "word": " كتير", "probability": 0.8834635416666666}, {"start": 4660.39, "end": 4660.83, "word": " اقراوها", "probability": 0.88232421875}, {"start": 4660.83, "end": 4660.93, "word": " في", "probability": 0.82470703125}, {"start": 4660.93, "end": 4661.25, "word": " الكتاب", "probability": 0.9866536458333334}, {"start": 4661.25, "end": 4661.67, "word": " طبعا", "probability": 0.96630859375}, {"start": 4661.67, "end": 4662.83, "word": " المحاضرة", "probability": 0.968017578125}, {"start": 4662.83, "end": 4663.25, "word": " الجاية", "probability": 0.7041829427083334}, {"start": 4663.25, "end": 4664.05, "word": " بنكمل", "probability": 0.9423828125}, {"start": 4664.05, "end": 4664.41, "word": " اعطيكوا", "probability": 0.7657063802083334}, {"start": 4664.41, "end": 4664.75, "word": " العافية", "probability": 0.9127604166666666}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 4665.2605, "duration_after_vad": 4211.057499999997}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/6YTti85ZwJU_raw.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/6YTti85ZwJU_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..5aa8919d1e1cdf99e019c627b2f99ff140cfc019
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/6YTti85ZwJU_raw.srt
@@ -0,0 +1,3244 @@
+1
+00:00:05,260 --> 00:00:07,900
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,900 --> 00:00:12,240
+وبركاته اليوم هنبدأ chapter جديد في مادة نظرية
+
+3
+00:00:12,240 --> 00:00:16,160
+الألات العنوان ال chapter هو turning moment
+
+4
+00:00:16,160 --> 00:00:25,960
+diagrams and flywheels خلينا
+
+5
+00:00:25,960 --> 00:00:31,000
+طبعا هنتعرف على بعض ال definitionsأول الشيء ايش هو
+
+6
+00:00:31,000 --> 00:00:33,660
+ال turning moment diagram ال turning moment
+
+7
+00:00:33,660 --> 00:00:38,380
+diagram هو تمثيل graphical representation ل
+
+8
+00:00:38,380 --> 00:00:44,700
+turning moment عند الكرانك لمواضيع مختلفة من زاوية
+
+9
+00:00:44,700 --> 00:00:47,440
+الدوران للكرانك يعني ال turning moment diagram هو
+
+10
+00:00:47,440 --> 00:00:51,380
+graphical representation of the turning moment or
+
+11
+00:00:51,380 --> 00:00:55,880
+crank effort for various positions of the crank
+
+12
+00:00:55,880 --> 00:00:57,700
+هذا ال turning moment diagram
+
+13
+00:01:01,200 --> 00:01:04,680
+انبين عندي هنا ال turning moment diagram for a
+
+14
+00:01:04,680 --> 00:01:09,540
+single cylinder double acting steam engine هذا ال
+
+15
+00:01:09,540 --> 00:01:14,100
+turning moment diagram لمحرك بخاري بيشتغل في
+
+16
+00:01:14,100 --> 00:01:17,760
+الاتجاهين مكون من أسطوان واحدة single cylinder
+
+17
+00:01:17,760 --> 00:01:22,620
+double acting steam engine على المحور الأفقي انبين
+
+18
+00:01:22,620 --> 00:01:27,520
+عندي زاوية الدوران لل crank ل crank angleعلى
+
+19
+00:01:27,520 --> 00:01:30,620
+المحور الرأسي اللي هي ال turning moment طبعا ال
+
+20
+00:01:30,620 --> 00:01:36,600
+turning moment بتختلف .. بتختلف باختلاف ال ..
+
+21
+00:01:36,600 --> 00:01:42,460
+باختلاف الزاوية عنده handicrank angleالدورة بتاعة
+
+22
+00:01:42,460 --> 00:01:46,160
+ال steam engine للمحرك البخاري بتكون تلاتمية و
+
+23
+00:01:46,160 --> 00:01:50,780
+ستين درجة و بيكون في عندى two working strokes
+
+24
+00:01:50,780 --> 00:01:56,600
+واحدة two working strokes يعني
+
+25
+00:01:56,600 --> 00:01:59,940
+في الاتجاه هنا هو طالع من ال top dead center ل ال
+
+26
+00:01:59,940 --> 00:02:01,740
+bottom dead center هاي working stroke و في another
+
+27
+00:02:01,740 --> 00:02:03,720
+working stroke من ال bottom dead center ل ال top
+
+28
+00:02:03,720 --> 00:02:06,020
+dead center بيكون عندى another working stroke
+
+29
+00:02:06,020 --> 00:02:10,960
+لحظوا ال variation ل ال torque الناتج
+
+30
+00:02:13,670 --> 00:02:17,790
+متغير مع الزاوية ال T mean هذا اللي هي ال main
+
+31
+00:02:17,790 --> 00:02:20,790
+resisting torque اللي انا فيه عند ال load بيكون
+
+32
+00:02:20,790 --> 00:02:25,830
+موجود على ال crank بيكون قيمته ثابتة بيكون قيمته
+
+33
+00:02:25,830 --> 00:02:30,890
+ثابتة زي ما انتوا ملاحظين بعض احيان ال resulting
+
+34
+00:02:30,890 --> 00:02:35,850
+torque الناتج عن ال pressure at the cylinder بيكون
+
+35
+00:02:35,850 --> 00:02:40,010
+اعلى من اعلى من ال main torque وبعض احيان بيكون
+
+36
+00:02:40,010 --> 00:02:41,150
+بيكون اقل
+
+37
+00:02:44,450 --> 00:02:48,590
+الـ tearing moment على الكرانك شافت هذا المعادلة
+
+38
+00:02:48,590 --> 00:02:53,850
+درسناها في شبتر خمستاشر بالسواء FP في R sin θ في
+
+39
+00:02:53,850 --> 00:02:57,490
+زائد sin 2 θ على اتنين جزي تربيع على N تربيع ناقص
+
+40
+00:02:57,490 --> 00:03:02,690
+sin تربيع في ثتا ال FP ال piston effort هو ال net
+
+41
+00:03:02,690 --> 00:03:09,130
+force الناجة عن ال pressure بتاع البخار الناجة عن
+
+42
+00:03:09,130 --> 00:03:15,610
+ال pressure بتاع البخارو ال inertia forces و ال
+
+43
+00:03:15,610 --> 00:03:19,450
+friction هي ال net force .. ال .. ال .. ال .. ال
+
+44
+00:03:19,450 --> 00:03:24,310
+.. ال piston effort هي ال net force الناتج عن ال
+
+45
+00:03:24,310 --> 00:03:28,550
+pressure forces من البخار و ال inertia forces ل ال
+
+46
+00:03:28,550 --> 00:03:33,450
+reciprocating masses و ال friction وهذا درسناها
+
+47
+00:03:33,450 --> 00:03:37,510
+برضه بشكتر خمستاشر ال R ال radius للكرانك ال theta
+
+48
+00:03:37,510 --> 00:03:43,000
+لكرانك angleو ال N اللي هي النسبة بين طول ال
+
+49
+00:03:43,000 --> 00:03:47,360
+connecting rod و ال crank ال L على R اللي هي طول
+
+50
+00:03:47,360 --> 00:03:56,060
+ال connecting rod و ال R هي نصف قطر ال crank ال
+
+51
+00:03:56,060 --> 00:04:03,020
+out stroke عبارة عن curve ABC ال curve ABC هذه ال
+
+52
+00:04:03,020 --> 00:04:06,260
+stroke اللي هي 180 درجة اللي بيكون عندك ال piston
+
+53
+00:04:06,260 --> 00:04:11,530
+طالعمن ال top dead center لل bottom dead center
+
+54
+00:04:11,530 --> 00:04:18,150
+اللي هي ال out stroke ال N stroke بتكون الفترة بين
+
+55
+00:04:18,150 --> 00:04:23,690
+ال bottom dead center لل top dead center اللي هي
+
+56
+00:04:23,690 --> 00:04:30,070
+CDE معناته في ال double acting single cylinder
+
+57
+00:04:30,070 --> 00:04:36,970
+steam engine بيكون دي out strokeوعندي n stroke out
+
+58
+00:04:36,970 --> 00:04:43,910
+stroke و n stroke الشغل
+
+59
+00:04:43,910 --> 00:04:47,090
+المفروض work done بستوى turning moment في الزاوية
+
+60
+00:04:47,090 --> 00:04:51,290
+الشغل عبارة عن moment في angle يعني ال torque في
+
+61
+00:04:51,290 --> 00:04:55,530
+theta ال work done هو ال area
+
+62
+00:04:58,330 --> 00:05:04,670
+work done هو عبارة
+
+63
+00:05:04,670 --> 00:05:08,410
+حاصل ضرب ال turning moment في الزاوية
+
+64
+00:05:15,240 --> 00:05:18,220
+in actually practice engine is assumed to work
+
+65
+00:05:18,220 --> 00:05:22,400
+against the main resisting torque يعني ال engine
+
+66
+00:05:22,400 --> 00:05:26,960
+بيشتغل بيعطي الشغل عشان يتغلب على ال main
+
+67
+00:05:26,960 --> 00:05:29,920
+resisting torque عشان يتغلب ال main resisting
+
+68
+00:05:29,920 --> 00:05:34,700
+torqueال area of rectangle اللى هى A small A
+
+69
+00:05:34,700 --> 00:05:40,340
+capital F E هدى المستطيل اللى هى A small A capital
+
+70
+00:05:40,340 --> 00:05:45,700
+F capital E small بتمثل اللى هى is proportional
+
+71
+00:05:45,700 --> 00:05:51,960
+بيتناسب مع الشغل المبذول مقابل اللى هو ال
+
+72
+00:05:51,960 --> 00:05:53,460
+resisting torque
+
+73
+00:05:59,200 --> 00:06:04,840
+when turning moment is positive engine torque is
+
+74
+00:06:04,840 --> 00:06:07,980
+more than main resisting torque لأن في المنطقة هذه
+
+75
+00:06:07,980 --> 00:06:14,780
+بين B و C و بين D و E بيكون ال torque أعلى من ال
+
+76
+00:06:14,780 --> 00:06:17,180
+main resisting torque معناته ال net torque بيكون
+
+77
+00:06:17,180 --> 00:06:26,020
+إيش positive يعني في الفترة بين B و C أو D و E لأن
+
+78
+00:06:26,020 --> 00:06:33,860
+ال netTorque أعلى بيصير تسارع .. تسارع لل crank
+
+79
+00:06:33,860 --> 00:06:40,000
+shaft و ال work is done by steam يعني ال .. ال ..
+
+80
+00:06:40,000 --> 00:06:43,680
+ال steam بيعمل شغل على ال piston ال work is done
+
+81
+00:06:43,680 --> 00:06:48,080
+by steam on the piston في الفترة ما بين B و C و D
+
+82
+00:06:48,080 --> 00:06:52,800
+ايه؟ و ايه؟
+
+83
+00:06:52,800 --> 00:06:57,420
+when turning moment is negativeلما تكون thing what
+
+84
+00:06:57,420 --> 00:07:00,800
+is negative بيكون ال engine torque هي ال engine
+
+85
+00:07:00,800 --> 00:07:03,880
+torque أقل من ال main resisting هي ال main
+
+86
+00:07:03,880 --> 00:07:05,760
+resisting وهي ال engine torque أقل
+
+87
+00:07:08,290 --> 00:07:18,750
+زي ما هو مبين بين C و D او بين A و B او بين E و F
+
+88
+00:07:18,750 --> 00:07:26,210
+بيكون ال actual هو ال generated torque اقل من ال
+
+89
+00:07:26,210 --> 00:07:28,610
+mean resisting torque معناه يكون ال net torque بين
+
+90
+00:07:28,610 --> 00:07:31,570
+ال negative في الحالة لما ال negative هو torque من
+
+91
+00:07:31,570 --> 00:07:37,420
+ال negative ال crank shaft ببدأ يتباطأوفي الحالة
+
+92
+00:07:37,420 --> 00:07:42,580
+هذه الشغل بيكون من ال work is done on the steam by
+
+93
+00:07:42,580 --> 00:07:45,940
+the piston ال piston بيعمل شغل على البخار يعني في
+
+94
+00:07:45,940 --> 00:07:50,060
+الحالة هذه بكون أطرد البخار برا المحرك crank
+
+95
+00:07:50,060 --> 00:07:55,000
+retard يعني ال crank shaft بيسريطة باطأ والشغل
+
+96
+00:07:55,000 --> 00:07:58,460
+بيكون معمول من ال pistons على البخار
+
+97
+00:08:02,450 --> 00:08:08,770
+خلّيني اعرف بعض البتغيرات ال T هي torque on the
+
+98
+00:08:08,770 --> 00:08:15,090
+crankshaft at any instant ال
+
+99
+00:08:15,090 --> 00:08:20,130
+T mean اللي هي ال mean resisting torque ال
+
+100
+00:08:20,130 --> 00:08:24,630
+accelerating torque on the rotating parts of the
+
+101
+00:08:24,630 --> 00:08:30,310
+engine بيساوة T minus ال T mean إذا كان ال T minus
+
+102
+00:08:30,310 --> 00:08:36,240
+ال T mean موجبالمنويلة الفلاي ويل تتسارع وإذا كان
+
+103
+00:08:36,240 --> 00:08:42,000
+ال T minus T mean negative يعني كان ال torque at
+
+104
+00:08:42,000 --> 00:08:45,960
+the crank أقل من ال resisting torque بيكون عنده ال
+
+105
+00:08:45,960 --> 00:08:49,860
+net torque negative الفلاي ويل أو المنويلة تتباطأ
+
+106
+00:08:53,480 --> 00:08:57,780
+هذا بيني الترمو داجرام ل four stroke cycle
+
+107
+00:08:57,780 --> 00:09:01,720
+internal combustion engine يعني ال four stroke ال
+
+108
+00:09:01,720 --> 00:09:05,100
+internal combustion engine محرك الاحتلاق الداخلي
+
+109
+00:09:05,100 --> 00:09:09,000
+الدورة الكاملة عنده أربعة باين خلينا نشوف
+
+110
+00:09:12,450 --> 00:09:16,970
+عندي من سفر ل مية و تمانين، مية و تمانين ل تلت مية
+
+111
+00:09:16,970 --> 00:09:20,450
+و ستين، تلت مية و ستين لخمس مية و أربعين، خمس مية
+
+112
+00:09:20,450 --> 00:09:26,430
+و أربعين لسبع مية و عشرين درجة أنا عندي هاي ال
+
+113
+00:09:26,430 --> 00:09:32,430
+cylinder هاي
+
+114
+00:09:32,430 --> 00:09:37,450
+ال cylinder وهاي
+
+115
+00:09:37,450 --> 00:09:43,640
+ال piston لما نكون at the top dead centerبكون عندى
+
+116
+00:09:43,640 --> 00:09:53,940
+هاي ال connecting rod وهي ال crank وفي
+
+117
+00:09:53,940 --> 00:10:04,460
+عندى صمام عشان يدخل وقود زاد هوا وصمام عشان للخروج
+
+118
+00:10:04,460 --> 00:10:12,580
+خروج الغازات وعندى البوجية عندى البوجية
+
+119
+00:10:19,480 --> 00:10:21,880
+فى البداية فى عندى suction stroke فى ال suction
+
+120
+00:10:21,880 --> 00:10:28,380
+stroke بنزل ال piston لتحت بيسحب هوا فى ال suction
+
+121
+00:10:28,380 --> 00:10:39,360
+هده هده ال top ده ال center in suction stroke
+
+122
+00:10:39,360 --> 00:10:43,460
+فى الشفط بتاع الشفط بنزل ال piston لتحت و بيشفط
+
+123
+00:10:43,460 --> 00:10:49,510
+بيفتح الصمام بيكون صمامبكون عندى اللى هو ال .. ال
+
+124
+00:10:49,510 --> 00:10:59,550
+.. ال fuel .. fuel valve open و ال .. ال .. ال ..
+
+125
+00:10:59,550 --> 00:11:09,310
+ال exhaust تاع الدخل ال exhaust valve is closing و
+
+126
+00:11:09,310 --> 00:11:17,420
+هاد هتصير فترة من سفر ل by بتكون منبس يعني بدخل
+
+127
+00:11:17,420 --> 00:11:24,720
+fuel and air as
+
+128
+00:11:24,720 --> 00:11:29,960
+piston moves
+
+129
+00:11:29,960 --> 00:11:41,380
+from top dead center to bottom dead center
+
+130
+00:11:47,480 --> 00:12:02,660
+يعني هذا بيكون نازل بيفتح و هذا ايش مسكر and
+
+131
+00:12:02,660 --> 00:12:06,560
+here ال bottom dead ال center
+
+132
+00:12:31,510 --> 00:12:36,290
+هذه اللي هي ال suction stroke بعدين تيجي ال
+
+133
+00:12:36,290 --> 00:12:40,570
+compression stroke compression stroke هي واحد
+
+134
+00:12:40,570 --> 00:12:50,410
+اتنين في ال compression stroke ال piston بيكون في
+
+135
+00:12:50,410 --> 00:12:57,810
+الحالة هذه في ال compression stroke بيكون عندى ال
+
+136
+00:12:57,810 --> 00:12:58,950
+valve ال fuel
+
+137
+00:13:02,890 --> 00:13:12,270
+valve closed مسكر وال exhaust valve بيكون
+
+138
+00:13:12,270 --> 00:13:17,030
+مسكر closed اتنين ال two valves مسكريين ال piston
+
+139
+00:13:17,030 --> 00:13:24,250
+طبعا الفترة هتجه بين بين اللي هو by الاتنين by ال
+
+140
+00:13:24,250 --> 00:13:28,510
+piston hose
+
+141
+00:13:28,510 --> 00:13:30,670
+from
+
+142
+00:13:32,820 --> 00:13:45,240
+bottom dead center إلى top dead center يعني
+
+143
+00:13:45,240 --> 00:13:50,440
+بيطلع و بضغط تلاتة
+
+144
+00:13:50,440 --> 00:13:55,420
+ال
+
+145
+00:13:55,420 --> 00:13:58,260
+expansion أو ال working through ال expansion
+
+146
+00:14:03,990 --> 00:14:08,630
+stroke لان بعد ما اخلص ال compression لما .. بعد
+
+147
+00:14:08,630 --> 00:14:15,490
+ما اخلص ال compression ال compression بتحرك اللي
+
+148
+00:14:15,490 --> 00:14:24,810
+بيصير عندى هنا ال piston لان
+
+149
+00:14:32,690 --> 00:14:37,730
+في ال .. في ال .. في ال .. البوجية بعطي شرارة
+
+150
+00:14:37,730 --> 00:14:47,630
+بعطياش اش اسمه electric spark
+
+151
+00:14:47,630 --> 00:14:51,030
+is
+
+152
+00:14:51,030 --> 00:14:55,110
+given وبالتالي
+
+153
+00:14:55,110 --> 00:14:58,070
+بيصير عندى انفجار explosion
+
+154
+00:15:01,730 --> 00:15:10,210
+of fuel and burning plus burning في الحالة هتبقى
+
+155
+00:15:10,210 --> 00:15:16,270
+ندفع ال piston ال piston is
+
+156
+00:15:16,270 --> 00:15:20,510
+moving downward
+
+157
+00:15:20,510 --> 00:15:23,650
+from
+
+158
+00:15:26,050 --> 00:15:34,810
+top dead center to bottom dead center و ال fuel
+
+159
+00:15:34,810 --> 00:15:39,590
+valve is
+
+160
+00:15:39,590 --> 00:15:48,870
+closed و ال exhaust valve is
+
+161
+00:15:48,870 --> 00:15:56,340
+closedال stroke الرابع اللي هي ال exhaust ال
+
+162
+00:15:56,340 --> 00:16:01,960
+exhaust stroke
+
+163
+00:16:01,960 --> 00:16:13,640
+ال yes بيسيب من من من تلاتة by لاربعة by في الحالة
+
+164
+00:16:13,640 --> 00:16:24,170
+هذه عندك بيكون ال ال fuel valvevalve مسكر بفتح
+
+165
+00:16:24,170 --> 00:16:33,470
+صمام الدخنة اللي هو exhaust valve open
+
+166
+00:16:33,470 --> 00:16:42,610
+بفتح صمام الدخنة بصير طرد للدخنة بصير أطرد الدخنة
+
+167
+00:16:42,610 --> 00:16:47,670
+ال piston طبعا moves
+
+168
+00:16:49,340 --> 00:16:58,120
+from bottom dead center to top dead center في
+
+169
+00:16:58,120 --> 00:17:09,160
+الحالة هذه بيصير work is done work is done on bird
+
+170
+00:17:09,160 --> 00:17:11,620
+on bird
+
+171
+00:17:13,150 --> 00:17:17,750
+fuel بس انا بضغط بطرد الوقود المحترق .. المحترق
+
+172
+00:17:17,750 --> 00:17:23,770
+ورا ال .. ال .. ال engine فبعدين
+
+173
+00:17:23,770 --> 00:17:27,370
+بيصير برجة بعيد بيصير suction compression working
+
+174
+00:17:27,370 --> 00:17:30,050
+exhaust بعدين suction compression working exhaust
+
+175
+00:17:30,050 --> 00:17:32,710
+و بعدين كده بتبقى تعيد الدورة فهيك ال engine بتاع
+
+176
+00:17:32,710 --> 00:17:37,050
+السيارة شغال معناته اللي هو محرك الاحتراك الداخلي
+
+177
+00:17:37,050 --> 00:17:40,930
+بيكون عبارة عن اربع stroke فانا مبين عن دي
+
+178
+00:17:46,130 --> 00:17:49,370
+البنان دي اللي هو ال suction stroke من سفر ل با
+
+179
+00:17:49,370 --> 00:17:52,090
+يعني من سفر يعني من ال top dead center ل bottom
+
+180
+00:17:52,090 --> 00:17:54,690
+dead center ال compression من ال bottom dead
+
+181
+00:17:54,690 --> 00:17:57,910
+center ل ال top dead center ال working من ال top
+
+182
+00:17:57,910 --> 00:18:00,290
+dead center ل ال bottom dead center ال exhaust من
+
+183
+00:18:00,290 --> 00:18:03,010
+ال bottom dead center ل ال top dead center يعني
+
+184
+00:18:03,010 --> 00:18:07,590
+هتكون سبعمائة و عشرين درجة
+
+185
+00:18:11,100 --> 00:18:15,200
+في ال suction stroke pressure inside the engine
+
+186
+00:18:15,200 --> 00:18:17,320
+cylinder is less than atmospheric pressure اللي
+
+187
+00:18:17,320 --> 00:18:20,660
+بكون الضغط جوا الاستوانة اقل من الضغط الجوي عشانك
+
+188
+00:18:20,660 --> 00:18:26,320
+بشوف بشوف ال negative negative loop طبعا هذا هو ال
+
+189
+00:18:26,320 --> 00:18:30,380
+main resisting torque
+
+190
+00:18:31,010 --> 00:18:34,390
+و عندين ال turning moment diagram هذا ال curve هو
+
+191
+00:18:34,390 --> 00:18:39,450
+ال actual او ال torque generated at the crank due
+
+192
+00:18:39,450 --> 00:18:42,770
+to the burning of gases او due to the working
+
+193
+00:18:42,770 --> 00:18:49,130
+cycles of the engineduring compression في مرحلة ال
+
+194
+00:18:49,130 --> 00:18:52,730
+compression stroke work is done on gases انا بعمل
+
+195
+00:18:52,730 --> 00:18:56,670
+بضغط اللي هو الوقود والهواء بضغطهم ففي work is
+
+196
+00:18:56,670 --> 00:19:00,430
+done on gases وبالتالي هكون ال work negative
+
+197
+00:19:00,430 --> 00:19:06,350
+فهيكون عندى even negative loop is obtained during
+
+198
+00:19:06,350 --> 00:19:11,290
+ال expansion او ال working stroke بيصير احتراق
+
+199
+00:19:11,290 --> 00:19:18,100
+للوقود والغازات تتمددو بتدفع ال piston من ال top
+
+200
+00:19:18,100 --> 00:19:20,200
+of the center لل bottom of the center therefore a
+
+201
+00:19:20,200 --> 00:19:22,780
+larger positive loop is created بيكون عندى .. هين
+
+202
+00:19:22,780 --> 00:19:26,940
+.. هين معظم الشغل .. البوجة بيصير في .. الشغل اللي
+
+203
+00:19:26,940 --> 00:19:30,020
+بيصير في ال working stroke او ال expansion stroke
+
+204
+00:19:30,020 --> 00:19:35,850
+ال work is done by gases on the pistonفي ال stroke
+
+205
+00:19:35,850 --> 00:19:41,490
+الرابع ال exhaust work is done on gas بعمل شغل على
+
+206
+00:19:41,490 --> 00:19:45,030
+الغازات عشان اطرد بفتح الصممة لل exhaust و بطرد
+
+207
+00:19:45,030 --> 00:19:48,450
+الغازات therefore a negative loop is formed
+
+208
+00:19:51,530 --> 00:19:55,530
+نرجع للتيريمون دي جرام لل single-cylinder double
+
+209
+00:19:55,530 --> 00:20:00,230
+-acting steam engine اللي هو تيريمون دي جرام لمحرك
+
+210
+00:20:00,230 --> 00:20:05,330
+بخاري
+
+211
+00:20:05,330 --> 00:20:07,070
+يعمل في اتجاهين
+
+212
+00:20:14,180 --> 00:20:19,260
+اللي أنا نطلع هنا عليه when the crank moves from A
+
+213
+00:20:19,260 --> 00:20:19,980
+to P
+
+214
+00:20:23,960 --> 00:20:27,360
+ال work bar دايما بينجي عبارة عن المساحة المساحة
+
+215
+00:20:27,360 --> 00:20:33,840
+اللي هي a b p والطاقة
+
+216
+00:20:33,840 --> 00:20:38,860
+المطلوبة عبارة عن المساحة a small a capital b
+
+217
+00:20:38,860 --> 00:20:44,560
+capital p واضح أن الطاقة المطلوبة أكتر من الطاقة
+
+218
+00:20:44,560 --> 00:20:49,400
+المنتجة فاندي عجز اللي هو عبارة عن المساحة a small
+
+219
+00:20:49,400 --> 00:20:54,950
+a capital b كتار دي ومثل عجز في الطاقةالان العجز
+
+220
+00:20:54,950 --> 00:20:58,850
+هذا بياخده من ال flywheel this energy is taken
+
+221
+00:20:58,850 --> 00:21:02,350
+from the flywheel بياخده من المانويلة وبالتالي
+
+222
+00:21:02,350 --> 00:21:05,970
+عشان بياخد سرعتها هتقل وبالتالي سرعة ال flywheel
+
+223
+00:21:05,970 --> 00:21:10,590
+هتقل لإنه أخد جزء من طاقة حركتها عشان يعوض العجز
+
+224
+00:21:10,590 --> 00:21:10,970
+عنده
+
+225
+00:21:13,770 --> 00:21:18,670
+from P to Q ال work done by the engineer عبارة عن
+
+226
+00:21:18,670 --> 00:21:28,570
+مساحة P بكبتل B بكبتل C كبتل Q الشغل المطلوب عند
+
+227
+00:21:28,570 --> 00:21:32,890
+ال load عبارة عن مساحة P بكبتل B بكبتل C كبتل Q
+
+228
+00:21:33,570 --> 00:21:38,290
+واضح ان الشغل المنتج او الطاقة المنتجة اكبر من
+
+229
+00:21:38,290 --> 00:21:40,810
+الطاقة الموجودة ..معناته فيني دي زيادة ..الزيادة
+
+230
+00:21:40,810 --> 00:21:43,790
+ما انا اوديها بروح بخزنها في ال flywheel وبالتالي
+
+231
+00:21:43,790 --> 00:21:45,730
+سرعة ال flywheel هتزيد
+
+232
+00:21:49,630 --> 00:21:54,730
+من Q ل R الطاقة
+
+233
+00:21:54,730 --> 00:21:59,570
+المنتجة المنتجة وسط ال engine عبارة عن المساحة C Q
+
+234
+00:21:59,570 --> 00:22:05,290
+C كابيتال كيو كاب اس مول C small والمساحة اللي هي
+
+235
+00:22:05,290 --> 00:22:12,770
+C D كابيتالRsmall و الطاقة المطلوبة بقرع المساحة
+
+236
+00:22:12,770 --> 00:22:17,490
+Qsmall Ccapital Dcapital Rsmall أكبر من الطاقة
+
+237
+00:22:17,490 --> 00:22:22,570
+المنتجة وبالتالي الطاقة المنتجة او النقص في الطاقة
+
+238
+00:22:22,570 --> 00:22:25,590
+.. النقص او العجز سيعوده من ال flywheel بياخد من
+
+239
+00:22:25,590 --> 00:22:30,030
+ال flywheel وبالتالي بيصير سرعة ال flywheel بتقل
+
+240
+00:22:30,030 --> 00:22:37,710
+الآن من R لS من R لS من هنا ل هناالطاقة المنتجة من
+
+241
+00:22:37,710 --> 00:22:41,910
+ال engine هتكون مساحة اللي هي R small D capital D
+
+242
+00:22:41,910 --> 00:22:46,870
+small E capital S small الطاقة المطلوبة عند ال
+
+243
+00:22:46,870 --> 00:22:50,270
+load عبارة عن المساحة R small D capital E capital
+
+244
+00:22:50,270 --> 00:22:54,010
+S capital واضح أن الطاقة المنتجة أكبر من الطاقة
+
+245
+00:22:54,010 --> 00:22:57,550
+المطلوبة وبالتالي بيصير عندي فائض في الطاقة
+
+246
+00:22:57,550 --> 00:23:00,150
+فالطاقة ده بروح بخزن وين
+
+247
+00:23:04,070 --> 00:23:10,090
+بخزنه بخزنه في ال flywheel وبالتالي سرعة ال
+
+248
+00:23:10,090 --> 00:23:16,550
+flywheel بتزيد الان من S ل E من S ل Eالطاقة
+
+249
+00:23:16,550 --> 00:23:20,130
+المنتجة من ال engine عبارة عن مساحة S small E
+
+250
+00:23:20,130 --> 00:23:24,350
+capital A small الطاقة المطلوبة من ال load عبارة
+
+251
+00:23:24,350 --> 00:23:28,570
+عن مساحة S small E capital F capital E هي أكبر
+
+252
+00:23:28,570 --> 00:23:33,290
+العجز هيمثل مساحة E capital F capital E small
+
+253
+00:23:41,620 --> 00:23:46,340
+واضح في عندي fluctuation في يعني الطاقة في تدبدب
+
+254
+00:23:46,340 --> 00:23:49,640
+حوالين ال main resisting torque معناته ال
+
+255
+00:23:49,640 --> 00:23:51,840
+fluctuation of energy هو ال variation of energy
+
+256
+00:23:51,840 --> 00:23:54,060
+above and below the main resisting torque اللي هو
+
+257
+00:23:54,060 --> 00:23:58,000
+التدبدب في الطاقة هو التغير في الطاقة أعلى وأسفل
+
+258
+00:23:58,000 --> 00:24:03,600
+ال main resisting torque line ال areas المساحات
+
+259
+00:24:05,070 --> 00:24:10,830
+بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل
+
+260
+00:24:10,830 --> 00:24:15,170
+بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل
+
+261
+00:24:15,170 --> 00:24:16,250
+بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل
+
+262
+00:24:16,250 --> 00:24:16,290
+بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل
+
+263
+00:24:16,290 --> 00:24:16,390
+بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل
+
+264
+00:24:16,390 --> 00:24:18,050
+بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل
+
+265
+00:24:18,050 --> 00:24:26,810
+بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل بكابيتل
+
+266
+00:24:26,810 --> 00:24:31,930
+بكابيتل بكابيتل بكابيت
+
+267
+00:24:35,470 --> 00:24:39,490
+متوقع ان ال engine تكون ال maximum speed بتاعته
+
+268
+00:24:39,490 --> 00:24:45,050
+عند نقطة Q او S ممكن تكون السرعة تكون اقصى ما يمكن
+
+269
+00:24:45,050 --> 00:24:53,050
+عند Q او عند S معناته
+
+270
+00:24:53,050 --> 00:25:00,370
+ال flywheel تمتص الطاقة الزائدة في الفترة من P ل Q
+
+271
+00:25:00,370 --> 00:25:03,570
+و في الفترة من R ل S
+
+272
+00:25:07,510 --> 00:25:18,530
+ال engine has minimum speed عند P أو عند R في خلال
+
+273
+00:25:18,530 --> 00:25:24,010
+فترة هادئة يعني ال engine gives out جزء
+
+274
+00:25:24,010 --> 00:25:27,210
+من طاقته بتخلى ال flywheel بتتخلع جزء من طاقته
+
+275
+00:25:27,210 --> 00:25:32,110
+عشان تعود العجز في الفترة من A ل P و في الفترة من
+
+276
+00:25:32,110 --> 00:25:33,310
+Q ل R
+
+277
+00:25:38,530 --> 00:25:41,850
+فيه دي ما يسمى التذبذب الأعظم في الطاقة ال maximum
+
+278
+00:25:41,850 --> 00:25:43,650
+fluctuation of energy هي ال difference between
+
+279
+00:25:43,650 --> 00:25:46,730
+maximum and minimum energies above and below the
+
+280
+00:25:46,730 --> 00:25:47,990
+mean resisting torque line
+
+281
+00:25:59,070 --> 00:26:01,910
+عندي مثال هنا turning the ground for a multi
+
+282
+00:26:01,910 --> 00:26:03,830
+-cylinder engine عندي multi-cylinder engine عندي
+
+283
+00:26:03,830 --> 00:26:07,250
+engine متعدد لسطونات أربع سيلندر، ستة سيلندر،
+
+284
+00:26:07,250 --> 00:26:10,070
+تمانع سيلندر، ممكن تلاصق لحد اتنين و تلاتين سيلندر
+
+285
+00:26:10,070 --> 00:26:13,070
+عندي .. عندي هنا ال crank angle هي اللي يعني
+
+286
+00:26:13,070 --> 00:26:16,830
+turning from the ground فعندي ال A واحد .. A واحد
+
+287
+00:26:16,830 --> 00:26:21,780
+و A تلاتة و A fiveبيكون دي fluctuation above ال
+
+288
+00:26:21,780 --> 00:26:25,600
+mean resisting torque line يعني ال a2 و ال a4 و ال
+
+289
+00:26:25,600 --> 00:26:28,460
+a6 energies below ال mean resisting torque line
+
+290
+00:26:28,460 --> 00:26:31,660
+يعني في عندى fluctuation above فهي above above في
+
+291
+00:26:31,660 --> 00:26:39,320
+عندى below و في عندى below و في عندى below line
+
+292
+00:26:39,320 --> 00:26:46,140
+A capital G capital هو يمثل ال mean torque line ال
+
+293
+00:26:46,140 --> 00:26:52,890
+mean torque lineالـ A1 والـ A3 والـ A5 areas above
+
+294
+00:26:52,890 --> 00:26:58,270
+the mean torque line والـ A2 والـ A4 والـ A6 اللي
+
+295
+00:26:58,270 --> 00:27:00,430
+هي areas below the mean torque line
+
+296
+00:27:06,390 --> 00:27:09,410
+الان how to determine the maximum fluctuation of
+
+297
+00:27:09,410 --> 00:27:14,210
+energy لو فرضنا ان ال energy in the flywheel عند
+
+298
+00:27:14,210 --> 00:27:19,030
+نقطة A بالساوية E معناته عند B عندها positive عند
+
+299
+00:27:19,030 --> 00:27:26,120
+B هتكون E عند B هتكون E زاد A واحدعند B عند C
+
+300
+00:27:26,120 --> 00:27:34,360
+هتكون E زاد A1 minus A2 عند D هتكون E زاد A1 ناقص
+
+301
+00:27:34,360 --> 00:27:41,480
+A2 زاد A3 عند E هتكون عند E ال energy هتكون E زاد
+
+302
+00:27:41,480 --> 00:27:49,320
+A1 ناقص A2 زاد A3 ناقص A4 عند F هتكون هتكون E زاد
+
+303
+00:27:49,320 --> 00:27:56,590
+A1 ناقص A2 زاد A3 ناقص A4 زاد A5عند G هترجع نفس ال
+
+304
+00:27:56,590 --> 00:28:00,410
+A طيب
+
+305
+00:28:00,410 --> 00:28:04,230
+suppose
+
+306
+00:28:04,230 --> 00:28:07,490
+that the greatest energy of these energies طبعا
+
+307
+00:28:07,490 --> 00:28:11,710
+عندي energy عند A وB capital وC capital وD capital
+
+308
+00:28:11,710 --> 00:28:14,630
+وE capital وF capital وG capital لو افرض انه كانت
+
+309
+00:28:14,630 --> 00:28:19,470
+ال energy is maximum عند B وكانتمعناته ال max
+
+310
+00:28:19,470 --> 00:28:24,150
+energy عند B هتكون E زاد A واحد و لو فرضنا ان ال
+
+311
+00:28:24,150 --> 00:28:29,030
+energy is minimum عند E معناته ال minimum energy
+
+312
+00:28:29,030 --> 00:28:33,170
+الدفلية هتكون E زاد A واحد minus A اتنين زاد A
+
+313
+00:28:33,170 --> 00:28:36,620
+تلاتة minus A اربعةمعناته ال maximum fluctuation
+
+314
+00:28:36,620 --> 00:28:38,620
+in energy هو بيستوى ال maximum energy in a
+
+315
+00:28:38,620 --> 00:28:41,120
+flywheel minus منه energy in a flywheel هتكون
+
+316
+00:28:41,120 --> 00:28:44,860
+maximum energy minus منه energy هتكون E زاد A1
+
+317
+00:28:44,860 --> 00:28:50,660
+minus بينقصين E زاد A1 نقص A2 زاد A3 نقص A4 هتطلع
+
+318
+00:28:50,660 --> 00:28:54,180
+بيستوى A2 نقص A3 زاد A4
+
+319
+00:28:57,010 --> 00:29:00,910
+هنعرف معامل التدبدب في الطاقة ال coefficient of
+
+320
+00:29:00,910 --> 00:29:04,810
+fluctuation of energy c هي سواء ال maximum
+
+321
+00:29:04,810 --> 00:29:10,070
+fluctuation of energy ع ال work done per cycle ال
+
+322
+00:29:10,070 --> 00:29:13,470
+work done per cycle بيساوي ال mean resisting
+
+323
+00:29:13,470 --> 00:29:16,930
+torque في ال angle per cycle اللي هي T mean في ال
+
+324
+00:29:16,930 --> 00:29:20,490
+theta ال theta هي ال angle turned in one
+
+325
+00:29:20,490 --> 00:29:23,330
+revolution هي زوج الدورة اللي بتدور على الكرانك في
+
+326
+00:29:23,330 --> 00:29:31,920
+one revolutionفي حالة steam engine او two stroke
+
+327
+00:29:31,920 --> 00:29:38,180
+internal combustion engine في حالة محرك بخاري او
+
+328
+00:29:38,180 --> 00:29:41,440
+two stroke محرك يحتلق داخلي عبارة عن two stroke
+
+329
+00:29:41,440 --> 00:29:48,940
+الثالث بتكون تساوي اتنين باي في حالة محركاحتراك
+
+330
+00:29:48,940 --> 00:29:54,620
+داخلي اربع عشواط بتكون ال T main بيساوة P ال power
+
+331
+00:29:54,620 --> 00:29:59,620
+على Omega و ال Omega هتكون اللي هي اتنين Pi في N
+
+332
+00:29:59,620 --> 00:30:02,520
+على ستين يعني هتكون ال T main بيساوة P في ستين على
+
+333
+00:30:02,520 --> 00:30:03,360
+اتنين Pi في N
+
+334
+00:30:07,280 --> 00:30:11,480
+بشكل عام فينا معادة ال work done per cycle بيساوة
+
+335
+00:30:11,480 --> 00:30:14,920
+P capital C capital على N small ال N small بيساوة
+
+336
+00:30:14,920 --> 00:30:20,340
+number of working strokes per minute في حالة في
+
+337
+00:30:20,340 --> 00:30:23,760
+محرك بخار او two stroke internal combustion engine
+
+338
+00:30:23,760 --> 00:30:30,840
+ال N بيساوة N small بيساوة N capital
+
+339
+00:30:32,960 --> 00:30:36,600
+في حالة forest rock engine الان small بس هو ان
+
+340
+00:30:36,600 --> 00:30:45,820
+كابيتال على اتنين طيب
+
+341
+00:30:51,950 --> 00:30:56,450
+Table 16-1 معطيني ال coefficient of fluctuation of
+
+342
+00:30:56,450 --> 00:31:00,590
+energy المعامل التذبذب في الطاقة لمجموعة مختلفة من
+
+343
+00:31:00,590 --> 00:31:04,910
+المحركات يعني لو أخدنا على سبيل المثال أخدنا
+
+344
+00:31:04,910 --> 00:31:09,510
+single cylinder single acting four stroke gas
+
+345
+00:31:09,510 --> 00:31:13,230
+engine أخدنا محرك احتراق داخل أربعة شواط و بمكومة
+
+346
+00:31:13,230 --> 00:31:16,490
+نص طوانة واحدة بيكون ال coefficient of energy
+
+347
+00:31:16,490 --> 00:31:20,510
+coefficient of CE لل engine واحد point تسعة تلاتة
+
+348
+00:31:20,820 --> 00:31:26,260
+لو أخدت نفس الاشي بس يعني بيقرعني single acting
+
+349
+00:31:26,260 --> 00:31:29,260
+four stroke gas engine بس في عندى أربع أسطوانات
+
+350
+00:31:29,260 --> 00:31:33,840
+بيكون دي اللي هو CE.O66 لو زوّد الأسطوانات لستة
+
+351
+00:31:33,840 --> 00:31:37,820
+بيصير .O31، لو سوّر تمانية بقل وها كذا، فمعناته كل
+
+352
+00:31:37,820 --> 00:31:41,610
+ما زود عاد الأسطواناتكل مقال التذبذب عشان هيك
+
+353
+00:31:41,610 --> 00:31:43,830
+السيارات اللي بتكون مثلا تمانية .. تمانية
+
+354
+00:31:43,830 --> 00:31:47,630
+cylinders بتكون صوتها أنعم بكتير من الأربع
+
+355
+00:31:47,630 --> 00:31:51,370
+cylinders اللي عندك المحرك الاحتراق الداخلي بتاع
+
+356
+00:31:51,370 --> 00:31:55,850
+ال motorcycle بتكون مزعج كتير صوته عاليه لأنه ال
+
+357
+00:31:55,850 --> 00:32:01,490
+fluctuation of energy بتكون فيه عالية طيب ال
+
+358
+00:32:01,490 --> 00:32:07,300
+flywheel ال manuelaالـ flywheel شغلة هي عبارة عن
+
+359
+00:32:07,300 --> 00:32:11,860
+خزان للطاقة الـ flywheel تشتغل كخزان للطاقة بخزن
+
+360
+00:32:11,860 --> 00:32:15,260
+الطاقة اللي جاية .. الطاقة ال engine اللي جاية ال
+
+361
+00:32:15,260 --> 00:32:22,200
+engine ع شكل طاقة حركة الـ flywheel بتخزن الطاقة
+
+362
+00:32:22,200 --> 00:32:26,440
+لما يكون في عندي المحرك بنتج طاقة أكتر من اللي
+
+363
+00:32:26,440 --> 00:32:30,600
+لازم بخزنها في ال flywheelلما نكون في عندى عجز في
+
+364
+00:32:30,600 --> 00:32:34,720
+الطاقة، يعني عندى الطاقة المنتجة من ال engine أقل
+
+365
+00:32:34,720 --> 00:32:40,560
+من الطاقة المطلوب من ال load، ال firewheel بتعطي
+
+366
+00:32:40,560 --> 00:32:44,200
+ال load عشان .. ف it releases energy، يعني عنده
+
+367
+00:32:44,200 --> 00:32:47,320
+خزانة بخزن فيها الطاقة اللي بكون عنده زيادة و باخد
+
+368
+00:32:47,320 --> 00:32:49,340
+منها الطاقة لما انا محتاج في عندى عجز
+
+369
+00:32:53,070 --> 00:32:57,870
+in case of steam engines في حالة المحركات البخارية
+
+370
+00:32:57,870 --> 00:33:03,730
+و محركات الاحتراق الداخلية و في حالة ال
+
+371
+00:33:03,730 --> 00:33:09,470
+compressors و المدخّات engine is developed during
+
+372
+00:33:09,470 --> 00:33:14,350
+one stroke الطاقة
+
+373
+00:33:14,350 --> 00:33:19,290
+تنتج خلال شوط واحد and engine is to run for the
+
+374
+00:33:19,290 --> 00:33:23,900
+whole cycleالطاقة اللى بنتجها في one stroke هستفيد
+
+375
+00:33:23,900 --> 00:33:27,080
+منها في ال other strokes عند أربع strokes عند
+
+376
+00:33:27,080 --> 00:33:29,620
+stroke بنتج فيها طاقة بنتج فيها طاقة كتير و باخذ
+
+377
+00:33:29,620 --> 00:33:32,640
+ال flywheel في ال other strokes محتاج طاقة باخدها
+
+378
+00:33:32,640 --> 00:33:41,680
+من ال flywheel in
+
+379
+00:33:41,680 --> 00:33:44,720
+four stroke internal combustion engine في حالة
+
+380
+00:33:44,720 --> 00:33:51,210
+محرك احتراك داخل أربع نظام أربع أشواطالطاقة تنتج
+
+381
+00:33:51,210 --> 00:33:59,320
+خلال اللي هي شروط ال expansion شروط التمددو كمية
+
+382
+00:33:59,320 --> 00:34:02,880
+الطاقة المتمددة بتكون كبيرة بحيث تكفي لل ..
+
+383
+00:34:02,880 --> 00:34:05,660
+للأشواط الأخرى اللي هي ال .. ال suction و ال
+
+384
+00:34:05,660 --> 00:34:08,260
+compression و ال exhaust stroke معناته أنا بنتج
+
+385
+00:34:08,260 --> 00:34:13,200
+طاقة اتكفيني لكل الأربع أشواط الطاقة بنتجها فقط في
+
+386
+00:34:13,200 --> 00:34:16,320
+ال .. في ال .. في الشوط على ال expansion لكن ننساش
+
+387
+00:34:16,320 --> 00:34:18,860
+أن هنا فينا suction stroke و عندي compression
+
+388
+00:34:18,860 --> 00:34:22,700
+stroke و عندي exhaust stroke فلازم أغطيهم الطاقة
+
+389
+00:34:29,180 --> 00:34:31,660
+access energy developed during power stroke اللي
+
+390
+00:34:31,660 --> 00:34:35,660
+الطاقة الزائدة المنتجة خلال ال power stroke هي تم
+
+391
+00:34:35,660 --> 00:34:39,980
+تخزينها بال flywheel و ثم تطلقها او تتخلى عنها ال
+
+392
+00:34:39,980 --> 00:34:44,600
+flywheel خلال الأشواط الأخرى اللي مايكونش فيها
+
+393
+00:34:44,600 --> 00:34:48,700
+إنتاج للطاقة وبالتالي thus rotating the crankshaft
+
+394
+00:34:48,700 --> 00:34:51,480
+at any form of speed وبالتالي بحافظ أن الكرانك
+
+395
+00:34:51,480 --> 00:34:53,580
+تتحرك بسرعة منتظرة
+
+396
+00:34:56,970 --> 00:34:59,910
+when a flywheel absorbs energy لما ال flywheel
+
+397
+00:34:59,910 --> 00:35:06,070
+تنتص طاقة سرعتها ايش؟ بتزيد و لما تتخلى عن جزء من
+
+398
+00:35:06,070 --> 00:35:11,110
+طاقتها سرعتها بتنقص a flywheel does not maintain a
+
+399
+00:35:11,110 --> 00:35:15,190
+constant speed ال flywheel بتحفظش ان انا احش على
+
+400
+00:35:15,190 --> 00:35:19,770
+سرعة منتظمة اللي بيستوي it reduces fluctuation
+
+401
+00:35:19,770 --> 00:35:24,490
+بيتقلل بتقلل التدبدب في السرعة بتقلل التدبدب في
+
+402
+00:35:24,490 --> 00:35:24,890
+السرعة
+
+403
+00:35:29,710 --> 00:35:34,190
+a flywheel controls speed variations caused by
+
+404
+00:35:34,190 --> 00:35:37,090
+fluctuation of energy turning moment during each
+
+405
+00:35:37,090 --> 00:35:41,430
+cycle of operation الفليويل تتحكم في التذبذب في
+
+406
+00:35:41,430 --> 00:35:47,790
+السرعة الناتج عن التذبذب في الطاقة خلال الدورة
+
+407
+00:35:47,790 --> 00:35:52,830
+اللي هي عبارة عن شتين او اربع شهرات it does not
+
+408
+00:35:52,830 --> 00:35:55,890
+control speed variations caused by varying load
+
+409
+00:35:55,890 --> 00:36:00,510
+اذا ال load اتغيربتعملش control على ال variations
+
+410
+00:36:00,510 --> 00:36:04,450
+فى إشي تانى بيعمل control على ال speed لما نستخدم
+
+411
+00:36:04,450 --> 00:36:06,450
+دى variation فى ال load اللى هو ما يسمى ال
+
+412
+00:36:06,450 --> 00:36:11,690
+governor هنجيله بعد شوية ال
+
+413
+00:36:11,690 --> 00:36:17,790
+machines فى المكان where operation is intermittent
+
+414
+00:36:17,790 --> 00:36:23,750
+فى المكان اللى بتكون فيه عملية متقطعة زى الكسرات
+
+415
+00:36:23,750 --> 00:36:28,770
+ال crushersال flywheel stores energy from power
+
+416
+00:36:28,770 --> 00:36:32,670
+source ال flywheel بتخزن الطاقة من مصدر الطاقة
+
+417
+00:36:32,670 --> 00:36:36,570
+اللي هي الكهربا مثلا during the greater portion of
+
+418
+00:36:36,570 --> 00:36:40,130
+the operating cycle في معظم يعني بتكون فترة طويلة
+
+419
+00:36:40,130 --> 00:36:43,910
+بتكون تخزن الطاقةand gives it up during a small
+
+420
+00:36:43,910 --> 00:36:46,730
+period of the cycle ده انا عملية لو انا بدي اكسر
+
+421
+00:36:46,730 --> 00:36:49,510
+انا بكونش ضغطة هطول بضغط لفترة .. بضغط شويه و
+
+422
+00:36:49,510 --> 00:36:53,430
+بارفع فالضغطة هتبدي طاقة كبيرة فانا فى فترة طويلة
+
+423
+00:36:53,430 --> 00:36:57,670
+من ال cycle بكون مخزن طاقة و بتخلى عنها فى فترة
+
+424
+00:36:57,670 --> 00:37:03,230
+زمنية قصيرة طيب
+
+425
+00:37:03,230 --> 00:37:09,750
+في عندي ما يسمى ال governorهذا موجود في ال engine
+
+426
+00:37:09,750 --> 00:37:13,690
+ال governor in engine regulates main speed of
+
+427
+00:37:13,690 --> 00:37:18,070
+engine when there are variations in load ايش
+
+428
+00:37:18,070 --> 00:37:22,570
+معناته انا كنت ماشي بسيارة على مستوى أفقي ماشي على
+
+429
+00:37:22,570 --> 00:37:28,150
+شارع مستوي وماشي بسرعة مائة كيلو متر بعد شوقا جيت
+
+430
+00:37:28,150 --> 00:37:32,450
+طلع سند عالي كتير عشان احافظ على نفس السرعة ايش
+
+431
+00:37:32,450 --> 00:37:38,330
+بسوي بدي أسعى البنزين اكتر باعطياشبعطي بنزين او
+
+432
+00:37:38,330 --> 00:37:42,110
+وقود اكتر I need .. بعطي .. I give more energy to
+
+433
+00:37:42,110 --> 00:37:48,310
+.. to keep the speed طيب بعد شوية انزلت على دحلة
+
+434
+00:37:48,310 --> 00:37:52,310
+لما انزل على دحلة اذا ضليت الضغط على نفس ضغط
+
+435
+00:37:52,310 --> 00:37:56,150
+البنزين هتتسرع السيارة معناه بيخفف دقس البنزين
+
+436
+00:37:56,150 --> 00:37:58,830
+عشان احافظ عن السرعة معناه ال governor في ال
+
+437
+00:37:58,830 --> 00:38:05,130
+engine بتحكم بيعمل تنظيم للسرعة للسرعة .. سرعة ال
+
+438
+00:38:05,130 --> 00:38:08,460
+engineلما نسينا أن يتغير في ال load تغير في ال
+
+439
+00:38:08,460 --> 00:38:12,200
+load زي ما حكينا ال load في حالة انا بكون ماشي
+
+440
+00:38:12,200 --> 00:38:15,480
+أفقي بيكون له قيمة معينة لما أطلع على طلعة بدي
+
+441
+00:38:15,480 --> 00:38:19,800
+load أكتر معناته بدي وقود أكتر لما أنزل طلعة بدي
+
+442
+00:38:19,800 --> 00:38:23,960
+load أقل الوزن بيساعدني معناته بيخفف الوقود اللي
+
+443
+00:38:23,960 --> 00:38:28,800
+بيسويه هو ال governor بيلعب بتحكم في كمية الوقود
+
+444
+00:38:28,800 --> 00:38:34,170
+بحيثيخلّي السرعة ثابتة زى ما انتوا شايفين انا
+
+445
+00:38:34,170 --> 00:38:38,610
+بيكون عندى الجزء هذا ال shaft بتاع ال engine ال
+
+446
+00:38:38,610 --> 00:38:43,430
+shaft بتاع ال crane بيكون يدور هذا بيكون ايش يدور
+
+447
+00:38:43,430 --> 00:38:52,010
+وعندي هنا كورة و هنا كورة نتيجة الدوران لو انا بدى
+
+448
+00:38:52,010 --> 00:38:58,190
+اسرعبصير قوة طرد الملكة تطرد الكورات لبرا فلما طرد
+
+449
+00:38:58,190 --> 00:39:01,930
+الكورات لبرا الادراع هذا بنزل لتحت وهذا الادراع
+
+450
+00:39:01,930 --> 00:39:07,250
+بنزل لتحت فبأسحب هذه الدورة الأعلى ففيه عند الفتحة
+
+451
+00:39:07,250 --> 00:39:12,300
+اللي زي شايفنا علي اليمين هذهبتسكر او بتفتح ..
+
+452
+00:39:12,300 --> 00:39:16,280
+بتخلي فتحة الوقود اكتر او اقل وبالتالي انا بتحكم
+
+453
+00:39:16,280 --> 00:39:20,080
+في كمية الوقود بالطريقة هذه .. هذه ما يسمى ال
+
+454
+00:39:20,080 --> 00:39:23,560
+governor خشوا على اليوتيوب هتشوفوا videos كتير
+
+455
+00:39:23,560 --> 00:39:26,940
+بتوضح ال governor بس اذا حطيتوا governor لحالة
+
+456
+00:39:26,940 --> 00:39:31,980
+هيبين انكوا ال trump و الرؤساء و اردوجان و مش
+
+457
+00:39:31,980 --> 00:39:35,360
+عارفش لان ال governor معناه تحكم كتبوا governor in
+
+458
+00:39:35,360 --> 00:39:37,720
+engine عشان تكون more specific
+
+459
+00:39:42,510 --> 00:39:43,890
+عند تقليل المزيد من المزيد من المزيد من المزيد من
+
+460
+00:39:43,890 --> 00:39:44,530
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+461
+00:39:44,530 --> 00:39:45,270
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+462
+00:39:45,270 --> 00:39:47,350
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+463
+00:39:47,350 --> 00:39:47,790
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+464
+00:39:47,790 --> 00:39:49,330
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+465
+00:39:49,330 --> 00:39:50,130
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+466
+00:39:50,130 --> 00:39:51,610
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+467
+00:39:51,610 --> 00:39:52,070
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+468
+00:39:52,070 --> 00:39:52,070
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+469
+00:39:52,070 --> 00:39:56,530
+المزيد من المزيد من المزيد من المزيد من المزيد من
+
+470
+00:39:56,530 --> 00:39:57,710
+المز
+
+471
+00:40:01,830 --> 00:40:04,950
+طبعا ال governor هيكون موجود كتير في مولدات
+
+472
+00:40:04,950 --> 00:40:09,610
+الكهربا مولدات الكهربا انا محتاج ل frequency تطيير
+
+473
+00:40:09,610 --> 00:40:13,450
+على الكهربا الناتري بدي احسن في حدود خمسين هيرزأو
+
+474
+00:40:13,450 --> 00:40:17,390
+ستين هيرز يختلف من لبلد لبلد معناته سرعة المحرك
+
+475
+00:40:17,390 --> 00:40:22,390
+سرعة المحرك لازم تكون ثابتة هتكون على 1500 RPM
+
+476
+00:40:22,390 --> 00:40:26,590
+عشان تكون سرعة المحرك ثابتة لازم تكون عندك
+
+477
+00:40:26,590 --> 00:40:30,010
+governor اذا زاد ال load على المولد مثلا في ال
+
+478
+00:40:30,010 --> 00:40:36,270
+load كان شايل عشرة كيلو وات وفجأة ال load صار
+
+479
+00:40:36,270 --> 00:40:43,140
+خمسينمعناته إذا سبت الوضع كما هو عليه هتنزل السرعة
+
+480
+00:40:43,140 --> 00:40:44,860
+.. هنزل ال frequency .. هتخرج الأجزاء الكهربائية
+
+481
+00:40:44,860 --> 00:40:47,240
+عندي وبالتالي بيكون دي ال governor لما يزيد ال
+
+482
+00:40:47,240 --> 00:40:49,980
+load بيروح بيصحب أقود أكتر عشان يحافظ على نفس
+
+483
+00:40:49,980 --> 00:40:55,620
+السرعة فال governor بنظم السرعة إذا حد المولدات
+
+484
+00:40:55,620 --> 00:41:00,680
+كتير منتشرة في غزة ممكن الواحد يتفرج .. يعني يتفرج
+
+485
+00:41:00,680 --> 00:41:02,980
+على ال governor تشوفوا كيف بيشتغل على الطبيعة
+
+486
+00:41:06,870 --> 00:41:10,470
+فيه هنعرف معامل التذبذب في السرعة ال maximum
+
+487
+00:41:10,470 --> 00:41:17,770
+fluctuation of speed هو الفرق بين ال maximum و ال
+
+488
+00:41:17,770 --> 00:41:20,630
+minimum speed during أساكل هو الفرق بين أقصى سرعة
+
+489
+00:41:20,630 --> 00:41:26,170
+و أقل سرعة خلال دورة معامل التذبذب في ال speed هو
+
+490
+00:41:26,170 --> 00:41:29,790
+النسبة بين ال maximum fluctuation of speed على
+
+491
+00:41:29,790 --> 00:41:33,820
+السرعة المتوسطة على ال minimum speedلو كان عندى ال
+
+492
+00:41:33,820 --> 00:41:38,660
+max speed رمز تلها بالرمز N1 و ال min speed بالرمز
+
+493
+00:41:38,660 --> 00:41:44,900
+N2معينة السرعة المتوسطة N هتكون N1 زي N2 على 2 و
+
+494
+00:41:44,900 --> 00:41:48,620
+ال coefficient او المعاملة تتبدأ في السرعة CS
+
+495
+00:41:48,620 --> 00:41:52,920
+هتكون ال maximum minus ال minimum N1 minus N2 على
+
+496
+00:41:52,920 --> 00:41:57,320
+N و N عبارة عن N1 زي N2 على 2 او لو بدي استخدم
+
+497
+00:41:57,320 --> 00:42:00,820
+الوحدات ال radians per second بستخدم Omega 1 minus
+
+498
+00:42:00,820 --> 00:42:04,460
+Omega 2 على Omega او بستوى 2 Omega 1 minus Omega 2
+
+499
+00:42:04,460 --> 00:42:08,580
+على Omega 1 زي Omega 2 هذا معاملة تتبدأ في السرعة
+
+500
+00:42:11,590 --> 00:42:14,470
+طور معارك الذبذ و في الصراع is a limiting factor
+
+501
+00:42:14,470 --> 00:42:18,310
+in the design of flywheel في تصميم ال flywheels ال
+
+502
+00:42:18,310 --> 00:42:24,690
+CS is a limiting and important factorال CS varies
+
+503
+00:42:24,690 --> 00:42:28,010
+depending upon the nature of service to which the
+
+504
+00:42:28,010 --> 00:42:30,870
+flywheel is employed حسب ال application في بعض ال
+
+505
+00:42:30,870 --> 00:42:34,650
+application مش مشكلة لو كانت التغييف السرعة كبير
+
+506
+00:42:34,650 --> 00:42:37,710
+في بعض ال applications لأ اذا كانت التغييف السرعة
+
+507
+00:42:37,710 --> 00:42:41,610
+كبير بيعمللي مشكلة فحسب ال application تعتمد ال
+
+508
+00:42:41,610 --> 00:42:47,930
+design لل flywheelالان معامل الثبات هو عكس معامل
+
+509
+00:42:47,930 --> 00:42:51,410
+التذبذب معامل الثبات اللي هو N بصة واحد على CS بصة
+
+510
+00:42:51,410 --> 00:43:01,410
+و N capital على N واحد ناقص N اتنين نرجع
+
+511
+00:43:01,410 --> 00:43:06,590
+تاني لل flywheelwhen a flywheel absorbs energy لما
+
+512
+00:43:06,590 --> 00:43:12,130
+ال flywheel تمتص طاقة سرعتها بالزيت و لما مطاعة
+
+513
+00:43:12,130 --> 00:43:16,950
+طاقة تتخلى عن طاقة سرعتها ياش بتقل لو فرضنا ان
+
+514
+00:43:16,950 --> 00:43:22,050
+كتلة ال flywheel رمزانة بالرمز M و ال rate of
+
+515
+00:43:22,050 --> 00:43:27,190
+generation ال flywheel بالرمز K و I هي ال mass of
+
+516
+00:43:27,190 --> 00:43:31,030
+the flywheel حوالين محور الدوران هتكون I بسوء M في
+
+517
+00:43:31,030 --> 00:43:31,630
+K تربع
+
+518
+00:43:34,290 --> 00:43:37,490
+ال flowey اللي بتكون عبارة عن في عندى كتلة يعني
+
+519
+00:43:37,490 --> 00:43:41,570
+شكلها مدور في عندى الكتلة الخارجية بيسموها ال rim
+
+520
+00:43:41,570 --> 00:43:45,330
+و في عندى في النص ال hub و في عندى اللي هو هذه
+
+521
+00:43:45,330 --> 00:43:49,810
+الأضرع اللي هي ال ribs عندها rim .. rim اتنين او
+
+522
+00:43:49,810 --> 00:43:52,450
+rib .. rib واحد .. rib اتنين .. rib اربعة ribs
+
+523
+00:43:57,780 --> 00:44:00,900
+الـ main kinetic energy of flywheel flywheel is a
+
+524
+00:44:00,900 --> 00:44:03,800
+rotating body it is in a pure rotation معناته ال
+
+525
+00:44:03,800 --> 00:44:06,760
+kinetic energy اللي هتكون نص في I أميجا square هذا
+
+526
+00:44:06,760 --> 00:44:10,420
+ال dynamics هذا مش معلومة جديدة ال I عبارة عن ال
+
+527
+00:44:10,420 --> 00:44:15,300
+MK تربيع يعني هتكون نص MK تربيع في أميجا تربيع ال
+
+528
+00:44:15,300 --> 00:44:17,600
+maximum fluctuation of energy سواء ال maximum
+
+529
+00:44:17,600 --> 00:44:20,120
+kinetic energy minus ال minimum kinetic energy
+
+530
+00:44:20,120 --> 00:44:23,800
+يعني هتكون النص I أميجا واحد تربيع لأن أميجا واحد
+
+531
+00:44:23,800 --> 00:44:29,260
+اللي هي ال maximumSpeed minus نص I Omega 2 تربيع
+
+532
+00:44:29,260 --> 00:44:32,140
+لو أخدت نص I على مشترك بيصول نص I في Omega 1 تربيع
+
+533
+00:44:32,140 --> 00:44:35,420
+minus Omega 2 تربيع هذه فرق بين المربعين يعني
+
+534
+00:44:35,420 --> 00:44:38,620
+هتكون نص I في Omega 1 زي Omega 2 في Omega 1 ناقص
+
+535
+00:44:38,620 --> 00:44:43,420
+Omega 2 لو ضربت ال bus في 2 و المقام على 2 بتغيرش
+
+536
+00:44:43,420 --> 00:44:47,040
+اشياء او انا عند هنا او عند هنا Omega 1 زي Omega 2
+
+537
+00:44:47,040 --> 00:44:50,480
+على 2 هي ال main speed اللي هي هتكون Omega هتكون I
+
+538
+00:44:50,480 --> 00:44:56,700
+في Omega في Omega 1 minus Omega 2لو ضربت الهن ..
+
+539
+00:44:56,700 --> 00:45:00,440
+لو ضربت ال .. ال .. ال bust في omega و طرحته على
+
+540
+00:45:00,440 --> 00:45:03,280
+omega هصير I omega تربيع في omega واحد نقص omega
+
+541
+00:45:03,280 --> 00:45:06,560
+اتنين على omega يعني هصير I omega تربيع في omega
+
+542
+00:45:06,560 --> 00:45:09,260
+واحد minus omega اتنين على omega omega واحد minus
+
+543
+00:45:09,260 --> 00:45:12,520
+omega اتنين على omega عبارة عن ايش؟ معامل تذبد في
+
+544
+00:45:12,520 --> 00:45:16,160
+السرعة اللي هي ال CS هصير I omega square في ال CS
+
+545
+00:45:19,590 --> 00:45:23,810
+ال I عبارة عن ال mass في ال rates جارية MK تربيع
+
+546
+00:45:23,810 --> 00:45:29,650
+في Omega تربيع CS وعند
+
+547
+00:45:29,650 --> 00:45:33,690
+هنا احنا عارفين ان ال ال main energy عبارة عن نص
+
+548
+00:45:33,690 --> 00:45:38,190
+MK تربيع Omega تربيع هذا مش نص واحد معناته هذا
+
+549
+00:45:38,190 --> 00:45:42,690
+هتكون اتنين E في ال CS يعني ال Delta E اتنين في ال
+
+550
+00:45:42,690 --> 00:45:46,190
+main energy في المعاملة تذبذب في السرعة
+
+551
+00:45:49,140 --> 00:45:53,200
+as an approximation radius of gyration may be
+
+552
+00:45:53,200 --> 00:45:56,660
+taken equal to mean radius of the rim radius of
+
+553
+00:45:56,660 --> 00:46:02,480
+gyration delta E بالساوية اللي هو اعتبر ان ال K
+
+554
+00:46:02,480 --> 00:46:06,320
+بالساوية R اللي هي MR square في Omega square في CS
+
+555
+00:46:06,320 --> 00:46:10,940
+انحل
+
+556
+00:46:10,940 --> 00:46:11,500
+ال examples
+
+557
+00:46:34,600 --> 00:46:38,320
+the mass of a flywheel of an engine is ستة و نص طن
+
+558
+00:46:38,320 --> 00:46:44,320
+في عند flywheel وزنها كتلتها ال mass بس
+
+559
+00:46:44,320 --> 00:46:49,620
+ستة و نص طن يعني ستة لاك و خمسميت كيلو جرام ال
+
+560
+00:46:49,620 --> 00:46:55,160
+flywheel و ال rate of generation بتاعتها Kبسوة
+
+561
+00:46:55,160 --> 00:47:00,360
+واحد و تمانية و عشرة متر it is found from the
+
+562
+00:47:00,360 --> 00:47:02,500
+turning moment diagram that the fluctuation of
+
+563
+00:47:02,500 --> 00:47:10,440
+energy delta E معطينيها بسوة ستة و خمسين kilo
+
+564
+00:47:10,440 --> 00:47:20,020
+newton متر if mean speed of the engine N بسوة مية
+
+565
+00:47:20,020 --> 00:47:21,580
+و عشرين rpm
+
+566
+00:47:25,190 --> 00:47:29,950
+Find maximum and minimum speed يعني بده N واحد و N
+
+567
+00:47:29,950 --> 00:47:35,950
+اتنين هنحسب
+
+568
+00:47:35,950 --> 00:47:43,490
+M واحد N واحد و N اتنين الان انا عندي اول اشي دلتا
+
+569
+00:47:43,490 --> 00:47:46,990
+E دلتا
+
+570
+00:47:46,990 --> 00:47:51,050
+E بتساوي
+
+571
+00:47:57,210 --> 00:48:07,630
+م كسكوير اوميجا سكوير في ال CS ال
+
+572
+00:48:07,630 --> 00:48:11,150
+delta a معروفة والم معروفة والك معروفة وال اوميجا
+
+573
+00:48:11,150 --> 00:48:15,670
+ال اوميجا يعني دي هي ال اوميجا هتكون تساوة مائة و
+
+574
+00:48:15,670 --> 00:48:24,710
+عشرين في اتنين باي على ستين يعني هتكون اربعة باي
+
+575
+00:48:27,060 --> 00:48:33,400
+radians per second يعني انها ستكون معناه ال CS
+
+576
+00:48:33,400 --> 00:48:43,440
+بالساوى Delta E على M K Square Omega Square Delta
+
+577
+00:48:43,440 --> 00:48:45,740
+E اللي هي ستة و خمسين كيلو نيوتيمتر يعني ستة و
+
+578
+00:48:45,740 --> 00:48:52,780
+خمسين في الف على ال M عندي ستة الف و خمسمية
+
+579
+00:48:55,270 --> 00:49:05,270
+و ال K واحد و تمانية و عشرة تربيع و ال Omega أربع
+
+580
+00:49:05,270 --> 00:49:12,850
+by تربيع يعني في ستاشر by تربيع و بنحسب ال CS طيب
+
+581
+00:49:12,850 --> 00:49:25,220
+ال CS عبارة عن N واحد minus N اتنينعلى N معناته
+
+582
+00:49:25,220 --> 00:49:33,900
+عند N واحد minus N اتنين هتساوي CS في N اللي هي
+
+583
+00:49:33,900 --> 00:49:38,340
+عند ال CS اللي هي ليه هذا حسبناها N اللي هي مية و
+
+584
+00:49:38,340 --> 00:49:42,520
+عشرين هتكون تساوي مية
+
+585
+00:49:42,520 --> 00:49:44,800
+و عشرين هنحسب هذا
+
+586
+00:49:57,710 --> 00:50:03,110
+السياسة ستة خمسين في الف تقسيم
+
+587
+00:50:03,110 --> 00:50:23,550
+ستة الف خمسمية تقسيم تطلع
+
+588
+00:50:23,550 --> 00:50:24,310
+point O
+
+589
+00:50:27,590 --> 00:50:35,630
+او واحد ستة تسعة او واحد
+
+590
+00:50:35,630 --> 00:50:45,970
+ستة تسعة او واحد ستة تسعة او
+
+591
+00:50:45,970 --> 00:50:54,830
+واحد ستة تسعةأو اتنين تلاتة طيب هم يعطياني معلومة
+
+592
+00:50:54,830 --> 00:50:58,270
+تانية بيحكي لي ال min speed بسوء ال N واحد يعني ال
+
+593
+00:50:58,270 --> 00:51:05,830
+N بسوء N واحد زاد N اتنين على اتنين معناه ان N
+
+594
+00:51:05,830 --> 00:51:12,670
+واحد زاد N اتنين هتكون اتنين فان اتنين فمية وعشرين
+
+595
+00:51:12,670 --> 00:51:19,640
+متين واربعين هاي معادلة واحدهذه المعادلة لا ايه اش
+
+596
+00:51:19,640 --> 00:51:27,320
+اتنين الان
+
+597
+00:51:27,320 --> 00:51:35,560
+اجمع المعادلة واحد مع اتنين واحد زائد اتنين هسينا
+
+598
+00:51:35,560 --> 00:51:39,740
+دي ان واحد مع ان واحد اتنين ان واحد ان اتنين بسينا
+
+599
+00:51:39,740 --> 00:51:44,220
+دي اتنين ان واحد هيساوي
+
+600
+00:51:44,220 --> 00:51:46,960
+متين واربين واتنين
+
+601
+00:52:07,650 --> 00:52:15,710
+N1.O2 N2
+
+602
+00:52:17,960 --> 00:52:24,160
+هتكون ميتين واربعين ناقص مية واحد وعشرين point oh
+
+603
+00:52:24,160 --> 00:52:34,760
+one يعني هتكون ميتين واربعين ناقص
+
+604
+00:52:34,760 --> 00:52:40,580
+مية واحد وعشرين point oh one تطلع مية و تمانتاش
+
+605
+00:52:47,910 --> 00:52:54,430
+معناه احنا وجدنا ان واحد وان اتنين شوف
+
+606
+00:52:54,430 --> 00:52:55,310
+example تاني
+
+607
+00:53:19,240 --> 00:53:24,900
+عند فلاي ويل في محرك بخاري الريتزجيريش بتاعها K
+
+608
+00:53:24,900 --> 00:53:32,340
+بالساوية واحد متر وكتلتها
+
+609
+00:53:32,340 --> 00:53:38,120
+ال mass الفين و خمسمية كيلو جرام
+
+610
+00:53:44,090 --> 00:53:52,230
+is 1500 Nm and may be assumed constant ال T mean
+
+611
+00:53:52,230 --> 00:53:59,810
+constant عبارة 1500 Nm
+
+612
+00:53:59,810 --> 00:54:05,710
+determine the angular acceleration of the flywheel
+
+613
+00:54:05,710 --> 00:54:11,450
+فال flywheel هي عليها torque
+
+614
+00:54:14,980 --> 00:54:21,300
+مين نتيجة ال torque حصيلة اللي هياش acceleration I
+
+615
+00:54:21,300 --> 00:54:28,600
+في الفة معناته T مين هيساو
+
+616
+00:54:28,600 --> 00:54:36,740
+I في الفة يعني و I عبارة عن M كتربيع في الفة
+
+617
+00:54:36,740 --> 00:54:43,630
+معناته ال الفة هتكون تساوي T مينعلى M K تربيع
+
+618
+00:54:43,630 --> 00:54:55,910
+التيمين عندي 1500 على ال M 2500 في 1 تربيع يعني
+
+619
+00:54:55,910 --> 00:55:03,870
+هتكون 6 من 10 radian
+
+620
+00:55:03,870 --> 00:55:07,250
+per second squared
+
+621
+00:55:10,700 --> 00:55:15,540
+هذا المطلوب الأول المطلوب التاني the kinetic
+
+622
+00:55:15,540 --> 00:55:19,320
+energy of the flywheel after ten seconds اللي بدت
+
+623
+00:55:19,320 --> 00:55:25,180
+من السفر هي معناته هذه ال dynamics omega بس omega
+
+624
+00:55:25,180 --> 00:55:32,500
+naught زائد alpha في T يعني ال omega بدت من السفر
+
+625
+00:55:32,500 --> 00:55:39,780
+وال alpha ستة من عشرة في T عشر ثوانة يعني ستة
+
+626
+00:55:39,780 --> 00:55:47,080
+radiansبعد عشر ثوان حسينا صورتها ستة radians per
+
+627
+00:55:47,080 --> 00:55:53,740
+second هي خلصنا
+
+628
+00:55:53,740 --> 00:55:54,240
+ال example
+
+629
+00:56:10,800 --> 00:56:13,920
+A horizontal cross-compound steam engine عندي
+
+630
+00:56:13,920 --> 00:56:18,920
+steam engine develops three kilowatt power يعني ال
+
+631
+00:56:18,920 --> 00:56:28,580
+power بتاعته P تلتمية كيلو وات at main speed omega
+
+632
+00:56:28,580 --> 00:56:36,120
+أو نسميه N main
+
+633
+00:56:36,120 --> 00:56:45,790
+speed Nبستوى تسعين RPM يعني Omega هتكون تسعين في
+
+634
+00:56:45,790 --> 00:56:52,230
+اتنين باي على ستين يعني تسعين على ستين واحد و نصف
+
+635
+00:56:52,230 --> 00:56:58,430
+اتنين تلاتة باي Radian
+
+636
+00:56:58,430 --> 00:57:05,270
+per secondthe coefficient of fluctuation of energy
+
+637
+00:57:05,270 --> 00:57:12,570
+as found from the terminal diagram is CE بس
+
+638
+00:57:12,570 --> 00:57:18,250
+0.1 معاملة تذبذب في الطاقة 0.1 and the fluctuation
+
+639
+00:57:18,250 --> 00:57:22,730
+of speed is to be kept within plus or minus 0.1 of
+
+640
+00:57:22,730 --> 00:57:26,150
+mean speed يعني لو حكيت هي ال mean speed
+
+641
+00:57:31,670 --> 00:57:41,790
+هروح هى عندى هين هى ال maximum وهى ال minimum هروح
+
+642
+00:57:41,790 --> 00:57:52,690
+plus نص في المية plus نص اللى هى n وهين minus هين
+
+643
+00:57:52,690 --> 00:57:58,030
+n وهين minus نص على مية طبعا
+
+644
+00:58:01,040 --> 00:58:05,520
+ان معناته هيكون عندي الان واحد الان واحد هعمله مرة
+
+645
+00:58:05,520 --> 00:58:11,080
+واحد وبعدين هتسويه تعرفه لحالك ان واحد ان واحد
+
+646
+00:58:11,080 --> 00:58:14,760
+هتكون
+
+647
+00:58:14,760 --> 00:58:24,380
+تستوي ان زائد point o point o او خمسة ان والان
+
+648
+00:58:24,380 --> 00:58:28,820
+اتنين هتكون ان minus
+
+649
+00:58:32,140 --> 00:58:39,860
+الان الان اتنين سواء ان ماينوس point o او خمسة ان
+
+650
+00:58:39,860 --> 00:58:46,500
+بيعني ال CS ايش هكون سوى ان واحد ماينوس ان اتنين
+
+651
+00:58:46,500 --> 00:58:57,620
+على ان يعني هكون ان زاد point o او خمسة ان ماينوس
+
+652
+00:58:57,620 --> 00:59:00,200
+ان
+
+653
+00:59:02,400 --> 00:59:09,980
+- point o o خمسة n كله على إياش على n هتروح يعني
+
+654
+00:59:09,980 --> 00:59:20,080
+هده هتروح مع هده يعني هكون point
+
+655
+00:59:20,080 --> 00:59:25,700
+o o خمسة زاد point o o خمسة هصير point واحد
+
+656
+00:59:27,000 --> 00:59:31,620
+معناته لو بنحكي لإن ال speed is to be kept within
+
+657
+00:59:31,620 --> 00:59:37,820
+plus or minus 0.5 main speed معناته ال CS هتكون
+
+658
+00:59:37,820 --> 00:59:48,120
+point O O خمسة في اتنين يعني هتكون point O واحد
+
+659
+00:59:54,440 --> 00:59:58,000
+find the weight of the flywheel بده ال mass بتاعة
+
+660
+00:59:58,000 --> 01:00:03,000
+ال flywheel if
+
+661
+01:00:03,000 --> 01:00:07,960
+rate of gyration اذا كان K بالساوية
+
+662
+01:00:07,960 --> 01:00:16,820
+اتنين متر هو معطيني ال power ومعطيني ال mean speed
+
+663
+01:00:16,820 --> 01:00:22,820
+ومعطيني معاملة ذبده في الطاقة ومعطيني معاملة ذبده
+
+664
+01:00:22,820 --> 01:00:31,970
+فيفي ال speed و بده ال mass لل flywheel نرجع
+
+665
+01:00:31,970 --> 01:00:46,930
+لمعادلة بتاعتنا ال CS ايش بيساوي ال CE ال
+
+666
+01:00:46,930 --> 01:00:48,830
+CE بيساوي
+
+667
+01:00:54,210 --> 01:01:01,690
+delta a على ال work done per cycle ال work في ال
+
+668
+01:01:01,690 --> 01:01:07,810
+cycle ال
+
+669
+01:01:07,810 --> 01:01:16,010
+work في ال cycle ال
+
+670
+01:01:16,010 --> 01:01:21,610
+work في ال cycle عبارة
+
+671
+01:01:21,610 --> 01:01:21,870
+عن
+
+672
+01:01:28,890 --> 01:01:33,590
+او بالساوية ال power في
+
+673
+01:01:33,590 --> 01:01:46,030
+ستين على N ممكن انا ابسطها اكتر بالساوية ال work
+
+674
+01:01:46,030 --> 01:01:52,790
+done per cycle بالساوية التمين في
+
+675
+01:01:52,790 --> 01:01:53,170
+ال theta
+
+676
+01:02:03,030 --> 01:02:09,270
+والـ Theta في حالة steam engine بيستوى 2 Pi معناته
+
+677
+01:02:09,270 --> 01:02:22,890
+W الساكل بيستوى T mean بيستوى 2 Pi وT mean بيستوى
+
+678
+01:02:22,890 --> 01:02:28,210
+Power على Omega بيستوى P
+
+679
+01:02:31,400 --> 01:02:38,380
+في ستين على اتنين by في ايش في N capital يعني
+
+680
+01:02:38,380 --> 01:02:42,880
+بيصير ال W cycle ال
+
+681
+01:02:42,880 --> 01:02:54,480
+W ال cycle هتساوي ال T main اللي هي P في ستين على
+
+682
+01:02:54,480 --> 01:03:03,730
+اتنين by في N في ال theta في اتنين byيعني هتكون P
+
+683
+01:03:03,730 --> 01:03:11,670
+في ستين على N capital يعني ال power عند انا كانت
+
+684
+01:03:11,670 --> 01:03:19,830
+تلاتمية كل وقت يعني تلاتمية في الف في ستينعلى الان
+
+685
+01:03:19,830 --> 01:03:29,730
+ماعطينيها تسعين سفر فعندي سفر مع سفر تلاتة اتنين
+
+686
+01:03:29,730 --> 01:03:35,070
+تلاتة تلاتة اش مية يعني هيكون ال W بالصحيح كان
+
+687
+01:03:35,070 --> 01:03:44,790
+عندي هاي اتنين في مية متين الف متين الف نيوتن متر
+
+688
+01:03:44,790 --> 01:03:47,230
+هذا ال work per
+
+689
+01:03:51,340 --> 01:03:57,300
+معطين ال CE معناته انا عندي Delta E Delta E هتكون
+
+690
+01:03:57,300 --> 01:04:03,660
+ساوة CE في ال work per cycle ال CE معطينيها point
+
+691
+01:04:03,660 --> 01:04:10,020
+one في متين الف بالسيرة
+
+692
+01:04:10,020 --> 01:04:15,040
+عندي ساوة عشرين الف نيوتن
+
+693
+01:04:15,040 --> 01:04:25,190
+مترو ال delta E نرجع نروح نشوفها ال
+
+694
+01:04:25,190 --> 01:04:33,710
+delta E بالساوية
+
+695
+01:04:33,710 --> 01:04:37,330
+M K
+
+696
+01:04:37,330 --> 01:04:46,360
+square Omega square في ال CS يعني ال Mعشان كنت
+
+697
+01:04:46,360 --> 01:04:53,220
+اسوي delta E على K square omega square في ال CS
+
+698
+01:04:53,220 --> 01:05:01,480
+يعني ال delta E يعني دي عشرين الف على
+
+699
+01:05:01,480 --> 01:05:09,420
+K square وين K ماعطيني ال K هو ماعطيني
+
+700
+01:05:09,420 --> 01:05:10,240
+ال rate of variation
+
+701
+01:05:15,670 --> 01:05:20,990
+أتنين على كسكوير في أربع على أربع والأوميجا عندي
+
+702
+01:05:20,990 --> 01:05:28,670
+تلاتة باية على تسعة بايت تربية و ال CS ال CS اللي
+
+703
+01:05:28,670 --> 01:05:34,010
+هي point O واحد تطلع
+
+704
+01:05:34,010 --> 01:05:39,910
+ال ال mass عشرين
+
+705
+01:05:39,910 --> 01:05:40,350
+ألف
+
+706
+01:05:43,230 --> 01:05:58,650
+تقسيم اربعة تقسيم تسعة تقسيم تطلع
+
+707
+01:05:58,650 --> 01:06:03,370
+خمس تلاف ستمية و خمس تلاتين خمس تلاف و ستمية و خمس
+
+708
+01:06:03,370 --> 01:06:09,710
+تلاتين كيلو اجرام يعني حوالي خمسة و ستة من عشرة طن
+
+709
+01:06:09,710 --> 01:06:12,230
+خمسة و ستة من عشرة طن
+
+710
+01:06:21,110 --> 01:06:38,510
+طيب حل مثال تاني
+
+711
+01:06:38,510 --> 01:06:42,430
+turning on the ground for a petrol engine is drawn
+
+712
+01:06:42,430 --> 01:06:45,730
+to following scales في عندى turning on the ground
+
+713
+01:06:48,060 --> 01:06:58,340
+turning moment diagram لمحرك هذا هو عند
+
+714
+01:06:58,340 --> 01:07:05,840
+هنا ال crank angle وهنا turning moment to
+
+715
+01:07:05,840 --> 01:07:12,060
+the following scales turning moment كل
+
+716
+01:07:12,060 --> 01:07:15,940
+واحد من اللي بيستوى كل واحد من اللي كل واحد من
+
+717
+01:07:15,940 --> 01:07:16,120
+اللي
+
+718
+01:07:20,770 --> 01:07:29,130
+يعادل خمسة نيوتن متر turning moment وكل واحد من
+
+719
+01:07:29,130 --> 01:07:33,430
+اللي على ال x axis في الواحد من اللي على ال x axis
+
+720
+01:07:33,430 --> 01:07:39,930
+يعادل واحد درجة turning moment diagram repeats
+
+721
+01:07:39,930 --> 01:07:42,510
+itself at every half revolution of
+
+722
+01:07:45,290 --> 01:07:48,290
+of the engine and areas above and below mean
+
+723
+01:07:48,290 --> 01:07:52,330
+turning moment line taken in order are 295, 685,
+
+724
+01:07:52,530 --> 01:07:54,930
+40, 340, 960, 290,000,000,000,000,000,000,000,000
+
+725
+01:07:54,930 --> 01:07:55,150
+,000,000,000,000,000,000,000,000,000,000,000,000
+
+726
+01:07:55,150 --> 01:07:56,970
+,000,000,000,000,000,000,000,000,000,000,000,000
+
+727
+01:07:56,970 --> 01:07:58,830
+,000,000,000,000,000,000,000,000,000,000,000,000
+
+728
+01:07:58,830 --> 01:07:58,850
+,000,000,000,000,000,000,000,000,000,000,000,000
+
+729
+01:07:58,850 --> 01:08:00,850
+,000,000,000,000,000,000,000,000,000,000,000,000
+
+730
+01:08:00,850 --> 01:08:00,930
+,000,000,000,000,000,000,000,000,000,000,000,000
+
+731
+01:08:00,930 --> 01:08:00,970
+,000,000,000,000,000,000,000,000,000,000,000,000
+
+732
+01:08:00,970 --> 01:08:04,050
+,000,000,000,000
+
+733
+01:08:18,240 --> 01:08:22,940
+rotating parts are equivalent to a mass of 36
+
+734
+01:08:22,940 --> 01:08:26,420
+kilogram at a radius of gyration كل ال mass اللي
+
+735
+01:08:26,420 --> 01:08:32,640
+بتدور كتلة 36 kilogram و radius of gyration K
+
+736
+01:08:32,640 --> 01:08:41,380
+ماتينها 150 millimeter 150 millimeter determine
+
+737
+01:08:41,380 --> 01:08:43,440
+the coefficient of fluctuation of speed with the
+
+738
+01:08:43,440 --> 01:08:43,660
+CS
+
+739
+01:08:48,130 --> 01:08:51,630
+when the engine runs لما يكون عندك ال N mean speed
+
+740
+01:08:51,630 --> 01:09:01,510
+N سواء الف تانمية rpm طيب
+
+741
+01:09:01,510 --> 01:09:06,830
+بدأ
+
+742
+01:09:06,830 --> 01:09:12,270
+اوجد انا باختصار فكرة الحل ان انا هوجد ال delta E
+
+743
+01:09:12,270 --> 01:09:21,970
+بدأ اوجد delta E بدأ احكي delta Eبسوء M K Square
+
+744
+01:09:21,970 --> 01:09:29,490
+Omega Square في ال CS لأن لازم اوجد دلت انا ال M
+
+745
+01:09:29,490 --> 01:09:33,850
+معروفة عندي و ال K معروفة و ال Omega ال Omega بسوء
+
+746
+01:09:33,850 --> 01:09:43,050
+الفينمية في اتنين باي على ستين هتساوي تلاتين
+
+747
+01:09:43,050 --> 01:09:43,690
+في اتنين
+
+748
+01:09:46,660 --> 01:09:50,540
+عندك ستين ألف الميان ستين تلاتين تلاتين في اتنين
+
+749
+01:09:50,540 --> 01:10:00,600
+ستين ستين باي ال omega radians per second معناته
+
+750
+01:10:00,600 --> 01:10:02,940
+مطلوب اعرف ايه من ال time on the ground بتاع اعرف
+
+751
+01:10:02,940 --> 01:10:05,340
+ال delta ايه
+
+752
+01:10:14,510 --> 01:10:19,530
+الان هفترض ان ال
+
+753
+01:10:19,530 --> 01:10:27,250
+e عند a بدي احكي ال point و
+
+754
+01:10:27,250 --> 01:10:32,010
+ال a عند
+
+755
+01:10:32,010 --> 01:10:36,050
+a بدي
+
+756
+01:10:36,050 --> 01:10:42,890
+افترض عند a اللي هي اي انا ايا اي ال energy عند b
+
+757
+01:10:44,550 --> 01:10:51,890
+هتكون e زاد 295 and
+
+758
+01:10:51,890 --> 01:10:58,170
+c هتطرح
+
+759
+01:10:59,060 --> 01:11:01,580
+متين و خمس تسعين ناقص ستمية و خمس وتمانين يعني
+
+760
+01:11:01,580 --> 01:11:04,280
+هتكون متين و خمس تسعين ا زائد متين و خمس تسعين
+
+761
+01:11:04,280 --> 01:11:10,620
+ناقص ستمية و خمس و تمانين متين و خمس تسعين ناقص
+
+762
+01:11:10,620 --> 01:11:19,160
+ستمية و خمس و تمانين هتكون ا ناقص تلتنية و تسعين
+
+763
+01:11:19,160 --> 01:11:27,560
+عندي حضف الهاش اربعين زائد اربعين
+
+764
+01:11:29,470 --> 01:11:38,930
+E ناقص تلت مية و خمسين عند E هطرح تلت مية و أربعين
+
+765
+01:11:38,930 --> 01:11:47,870
+ناقص تلت مية و أربعين ساوي E ناقص
+
+766
+01:11:47,870 --> 01:11:55,470
+تلت مية و تنسين عند F عند
+
+767
+01:11:55,470 --> 01:12:05,130
+F هضفلهاتسعمية و ستين زائد تسعمية و ستين هتكون E
+
+768
+01:12:05,130 --> 01:12:09,190
+زائد
+
+769
+01:12:09,190 --> 01:12:15,930
+متين و سبعين عن G هطلح منها متين و سبعين بالصف E
+
+770
+01:12:15,930 --> 01:12:20,890
+معناته ال energy وين maximum ال energy maximum عند
+
+771
+01:12:20,890 --> 01:12:24,530
+B هي دي ال maximum
+
+772
+01:12:27,720 --> 01:12:41,360
+win minimum and E معناته
+
+773
+01:12:41,360 --> 01:12:52,780
+Delta A هتكون تساوي Delta
+
+774
+01:12:52,780 --> 01:12:57,100
+A هتكون E Max
+
+775
+01:13:00,390 --> 01:13:10,170
+minus E minimum هتساوي اللي هي E زاد 295 E زاد 295
+
+776
+01:13:10,170 --> 01:13:17,690
+minus E ناقص
+
+777
+01:13:17,690 --> 01:13:27,550
+690 يعني هتساوي هتروح ال E مع ال E 295 زاد 295
+
+778
+01:13:31,170 --> 01:13:37,390
+زائد ستمية وتسعين زائد ستمية و تسعين تسعمية و خمسة
+
+779
+01:13:37,390 --> 01:13:45,270
+و تمانين تسعمية
+
+780
+01:13:45,270 --> 01:13:50,890
+و خمسة و تمانين انتبه
+
+781
+01:13:50,890 --> 01:13:58,380
+مليمتر مربع هتكون هذه بدي احولها كل مليمترواحد
+
+782
+01:13:58,380 --> 01:14:04,480
+ميلي متر على ال turning moment scale خمسة نيوت
+
+783
+01:14:04,480 --> 01:14:12,220
+يعني هتكون تسعمية وخمسة و تمانين في خمسة نيوتن متر
+
+784
+01:14:12,220 --> 01:14:15,900
+وكل واحد ميلي متر عبارة عن one degree ال one
+
+785
+01:14:15,900 --> 01:14:22,120
+degree في ال radians الآن ال
+
+786
+01:14:22,120 --> 01:14:30,180
+pi عبارة عن مية و تمانين درجةيعني الدرجة ال باى ال
+
+787
+01:14:30,180 --> 01:14:38,500
+180 درجة equivalent ل باى الدرجة هي 1 في باى على
+
+788
+01:14:38,500 --> 01:14:44,760
+180 يعني عشان احولها ل نيوتن متر حسب ان انت تستخدم
+
+789
+01:14:44,760 --> 01:14:49,140
+185 في
+
+790
+01:14:49,140 --> 01:14:55,160
+5 في باى تقسم 180
+
+791
+01:14:57,460 --> 01:15:03,420
+تطلع خمس تمانين بون تسعة واحد اربع خمس تمانين
+
+792
+01:15:03,420 --> 01:15:07,820
+النيوتن
+
+793
+01:15:07,820 --> 01:15:12,780
+متر معناته انا عرفت ال delta E لان ال CS عندها
+
+794
+01:15:12,780 --> 01:15:22,320
+تكون Delta E على M K Square Omega Square Delta E
+
+795
+01:15:22,320 --> 01:15:28,800
+عند خمس تمانين بون تسعة واحد اربععلى ال mass ستة
+
+796
+01:15:28,800 --> 01:15:34,500
+وتلاتين كيلو في ال k اللي هي point واحد خمسة تربيع
+
+797
+01:15:34,500 --> 01:15:43,840
+على ال omega اللي هي ستين by ستين by الكل تربيع
+
+798
+01:15:43,840 --> 01:15:45,400
+حتطلع السياسة ان ده
+
+799
+01:15:49,360 --> 01:15:52,820
+يعني انا هاكم عندى خمسة و تمانين خمسة و تمانين
+
+800
+01:15:52,820 --> 01:16:00,200
+point تسعة واحد اربعة تقسيم ستة و تلاتين تقسيم
+
+801
+01:16:00,200 --> 01:16:04,260
+point واحد خمسة تقسيم point واحد خمسة
+
+802
+01:16:23,930 --> 01:16:35,930
+الـ CS هو Delta E على
+
+803
+01:16:35,930 --> 01:16:46,110
+M كتر بيها الـ M 36 اه
+
+804
+01:16:46,110 --> 01:16:52,400
+في غلطينيعني حيكون خمسة تمانين point تسعة واحد
+
+805
+01:16:52,400 --> 01:17:04,000
+اربع تقسيم ستة و تلاتين تقسيم point واحد خمسة
+
+806
+01:17:04,000 --> 01:17:13,960
+تطلع
+
+807
+01:17:13,960 --> 01:17:22,010
+point O O تلاتة point Oو تلاتة هذا التذبب في
+
+808
+01:17:22,010 --> 01:17:28,330
+الصراعة point o o تلاتة هات طبعا في examples كتيرة
+
+809
+01:17:28,330 --> 01:17:34,510
+يعني في عند اتوقع تحلوها مع المعيد خلي اشي للمعيد
+
+810
+01:17:34,510 --> 01:17:41,670
+ماشي في تفاصيل كتير اقراوها في الكتاب طبعا
+
+811
+01:17:41,670 --> 01:17:44,750
+المحاضرة الجاية بنكمل اعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/CNA7zsGkQA4.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/CNA7zsGkQA4.srt
new file mode 100644
index 0000000000000000000000000000000000000000..b404d3e13564968450fd099efd7b24100e491097
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/CNA7zsGkQA4.srt
@@ -0,0 +1,1402 @@
+1
+00:00:04,960 --> 00:00:07,920
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,920 --> 00:00:13,560
+وبركاته اليوم هنكمل جزء الثاني من الchapter اللي
+
+3
+00:00:13,560 --> 00:00:17,500
+هو mechanisms with lower pairs. المرة الفاتت حكينا على
+
+4
+00:00:17,500 --> 00:00:21,280
+الـexact straight line mechanisms. الـ general
+
+5
+00:00:21,280 --> 00:00:26,320
+principle. إذا نرجع على الشكل هذا، أن O A عشان نقطة
+
+6
+00:00:26,320 --> 00:00:31,460
+B تتحرك على خط مستقيم، لازم يكون حاصل ضرب O A في O
+
+7
+00:00:31,460 --> 00:00:37,260
+B ثابت. وتطبيقا على الكلام هذا، تم تطوير اللي هي
+
+8
+00:00:37,260 --> 00:00:40,700
+peculiar mechanism. في peculiar mechanism مكونة من
+
+9
+00:00:40,700 --> 00:00:44,500
+link واحد، link اثنين، link ثلاثة، link أربعة، خمسة، ستة،
+
+10
+00:00:44,500 --> 00:00:47,280
+سبعة، ثمانية links. عندها revolute, revolute,
+
+11
+00:00:47,300 --> 00:00:50,720
+revolute, revolute, revolute عند الـlink O when A
+
+12
+00:00:50,720 --> 00:00:56,600
+is allowed to rotate along a circle. أثبتنا
+
+13
+00:00:56,600 --> 00:01:02,060
+أن O A في O B is constant. معناته B will trace a
+
+14
+00:01:02,060 --> 00:01:04,860
+straight line. اليوم هنكمل
+
+15
+00:01:07,890 --> 00:01:10,990
+هنحكي عن الـsteering gear mechanism. الـsteering
+
+16
+00:01:10,990 --> 00:01:15,550
+تاع السيارة. الـsteering gear mechanism is used for
+
+17
+00:01:15,550 --> 00:01:20,670
+changing the direction of two or more wheel
+
+18
+00:01:20,670 --> 00:01:23,470
+axes with reference to the chassis. الهدف من الـ
+
+19
+00:01:23,470 --> 00:01:26,350
+steering mechanism أنه يغير اتجاه، اليمين أو
+
+20
+00:01:26,350 --> 00:01:32,190
+الشمال، يا إما بلف العجلات الأمامية زي السيارات
+
+21
+00:01:32,190 --> 00:01:38,960
+العادية، التقليدية، أو بلف العجلات الخلفية زي في حالة
+
+22
+00:01:38,960 --> 00:01:45,100
+اللي هو الـfork lift أو في حالة الجبهات الحديثة.
+
+23
+00:01:45,100 --> 00:01:47,460
+ممكن يكون عندي four wheel drive، أن العجلات
+
+24
+00:01:47,460 --> 00:01:50,180
+الأمامية والعجلات الخلفية تلف. تصبح الـrotation
+
+25
+00:01:50,180 --> 00:01:53,780
+اللي هي بالنسبة للـbody أو الـchassis بتاع السيارة
+
+26
+00:01:53,780 --> 00:01:59,180
+في معظم الأحوال، أكثر شوية في السيارات الـfront
+
+27
+00:01:59,180 --> 00:02:04,180
+wheels. بنحطها على الـfront axle، على المحور الأمامي.
+
+28
+00:02:05,030 --> 00:02:09,090
+وعشان نلف يمين أو شمال، بيكون فيهم محاور دوران
+
+29
+00:02:09,090 --> 00:02:13,550
+pivoted and two positions. هذه المحاور fixed
+
+30
+00:02:13,550 --> 00:02:18,090
+بالنسبة للـchassis of the automobile. العجلات
+
+31
+00:02:18,090 --> 00:02:24,670
+الخلفية في معظم السيارات بتكون، يعني الـaxis بتاعها
+
+32
+00:02:24,670 --> 00:02:31,430
+ثابت، ما فيش rotations للعجلات
+
+33
+00:02:31,430 --> 00:02:33,310
+لأن بين عندي
+
+34
+00:02:38,180 --> 00:02:48,180
+عندي top view أو schematic top view of a car. هذا
+
+35
+00:02:48,180 --> 00:02:53,300
+الـfront axle. هذا العجلات الأمامية. عندي هنا عجلة،
+
+36
+00:02:53,300 --> 00:03:02,800
+هنا دولاب، عندي دولاب هنا، وهذا
+
+37
+00:03:02,800 --> 00:03:04,360
+المحور الخلفي للسيارة.
+
+38
+00:03:08,490 --> 00:03:15,410
+عندي هنا دولاب، وعندي
+
+39
+00:03:15,410 --> 00:03:23,330
+دولاب، و
+
+40
+00:03:23,330 --> 00:03:24,770
+هذا الـbody بتاع السيارة.
+
+41
+00:03:33,430 --> 00:03:37,210
+المسافة بين المحورين، المحور العجلات الأمامية ومحور
+
+42
+00:03:37,210 --> 00:03:51,950
+العجلات الخلفية بسميها اللي هو B. الآن
+
+43
+00:03:51,950 --> 00:04:00,570
+نقطة A، هذه نقطة، هذه نقطة A، هذه نقطة B، هذه محاور
+
+44
+00:04:00,570 --> 00:04:07,240
+دوران. لأن عشان إذا بدي ألف على الشمال لازم ألف في الـ
+
+45
+00:04:07,240 --> 00:04:10,980
+...يكون فيه... في أنه allowed to rotate this way
+
+46
+00:04:10,980 --> 00:04:14,060
+للعقب... يعني بدي أسمح أن العجل، الدولاب هذا يلف حوالي
+
+47
+00:04:14,060 --> 00:04:18,160
+نقطة A، ودولاب الثاني على الشمال يلف حوالي نقطة B.
+
+48
+00:04:18,160 --> 00:04:24,580
+لما نلف، بصير الوضع التالي، with rotation.
+
+49
+00:04:43,730 --> 00:04:48,650
+معناته هذه المسافة بين الـtwo pivots A و B بسميها
+
+50
+00:04:48,650 --> 00:04:59,990
+C. هذه المسافة
+
+51
+00:04:59,990 --> 00:05:05,550
+C، وهذه المسافة بسميها بين مراكز العجلات أو
+
+52
+00:05:05,550 --> 00:05:09,110
+الدواليب، بسميها A.
+
+53
+00:05:19,540 --> 00:05:28,400
+الآن، عشان السيارة تلف بدون انزلاق لازم يكون مركز
+
+54
+00:05:28,400 --> 00:05:32,980
+الدوران اللحظي للعجلات الأمامية، العجل الأمامي
+
+55
+00:05:32,980 --> 00:05:35,840
+اللي على اليمين، والعجل الأمامي اللي على الشمال، و
+
+56
+00:05:35,840 --> 00:05:39,180
+العجلات الخلفية، نفس النقطة. لازم يكون مركز دوران
+
+57
+00:05:39,180 --> 00:05:43,760
+لحظي للأربع عجلات نفس النقطة. الآن مركز دوران لحظي
+
+58
+00:05:43,760 --> 00:05:50,120
+للـسيارة بيجي على امتداد الخط هذا. الآن four, four
+
+59
+00:05:50,120 --> 00:05:57,020
+نحكي، حكينا، four pure rotation، أو for مركز دوران
+
+60
+00:05:57,020 --> 00:06:04,320
+اللحظي للسيارة I، عشان ما يصيرش عندي skidding أو
+
+61
+00:06:04,320 --> 00:06:06,760
+انزلاق. لكن يجب أن يكون مركز اللحظي للعجلة A
+
+62
+00:06:06,760 --> 00:06:10,660
+والعجلة B، والعجلات الخلفية نفس النقطة. إذا كان أكثر
+
+63
+00:06:10,660 --> 00:06:15,580
+من مركز دور اللحظي، أكيد هيصير انزلاق. الآن عشان أنا
+
+64
+00:06:15,580 --> 00:06:18,300
+أعمل فرضية، هذه، أنه هيكون ما فيش عندي انزلاق.
+
+65
+00:06:25,490 --> 00:06:31,450
+هذه الزاوية هسميها، في هذا مركز دوران اللحظي I،
+
+66
+00:06:31,450 --> 00:06:34,930
+وعندي
+
+67
+00:06:34,930 --> 00:06:40,610
+هذه
+
+68
+00:06:40,610 --> 00:06:45,310
+الزاوية θ (ثيتا)
+
+69
+00:06:45,310 --> 00:06:51,310
+هذه
+
+70
+00:06:51,310 --> 00:06:51,610
+P
+
+71
+00:07:09,520 --> 00:07:14,660
+طبعا لاحظوا العجلة، إذا أنا بلف في اليمين، العجلة
+
+72
+00:07:14,660 --> 00:07:16,660
+اللي على اليمين... العجلة اللي على اليمين هتكون
+
+73
+00:07:16,660 --> 00:07:24,660
+أسرع... بتلف بسرعة أسرع من العجلة B، يعني A بتكون
+
+74
+00:07:24,660 --> 00:07:30,980
+أسرع من B، لأن المسار اللي هتمشي عليه أكبر، وبالتالي عشان
+
+75
+00:07:30,980 --> 00:07:36,100
+ألتحق مع B، لازم تكون A أسرع من B. العجلة A أسرع من
+
+76
+00:07:36,100 --> 00:07:41,430
+العجلة B. بيكونوا نفس السرعة. العجلة A بتكون نفس سرعة
+
+77
+00:07:41,430 --> 00:07:43,550
+العجلة B. لكن إذا كانت السرعة ماشية على خط مستقيم،
+
+78
+00:07:43,550 --> 00:07:48,230
+ما فيش دوران، بيكون سرعة العجلة A بتساوي سرعة العجلة
+
+79
+00:07:48,230 --> 00:07:54,150
+B. طيب،
+
+80
+00:07:54,150 --> 00:07:57,570
+الـ
+
+81
+00:07:57,570 --> 00:08:01,210
+cotangent، الزاوية، الـcotangent، الزاوية في
+
+82
+00:08:01,210 --> 00:08:09,780
+cotangent، في اللي هي عكس التان، cotangent φ (فاي).
+
+83
+00:08:09,780 --> 00:08:19,420
+بسميها المجاور على المقابل، اللي هو A P على
+
+84
+00:08:19,420 --> 00:08:24,980
+I P. طبعا
+
+85
+00:08:24,980 --> 00:08:31,360
+A P عبارة عن P B زائد
+
+86
+00:08:31,360 --> 00:08:37,800
+A B. عبارة عن P B زائد
+
+87
+00:08:37,800 --> 00:08:50,980
+A B على I P. I P بيساوي P
+
+88
+00:08:50,980 --> 00:09:01,140
+B. طبعا الـA B عبارة، بسميها C. أنا P B زائد C على I
+
+89
+00:09:01,140 --> 00:09:07,300
+B. لأن الزاوية θ (ثيتا)، cotangent اللي هي عكس الـ
+
+90
+00:09:07,300 --> 00:09:08,560
+tangent، cotangent θ (ثيتا).
+
+91
+00:09:13,380 --> 00:09:21,400
+بسميها المجاور بتاعها، اللي هو P B
+
+92
+00:09:21,400 --> 00:09:24,900
+على
+
+93
+00:09:24,900 --> 00:09:29,060
+I B. لأن
+
+94
+00:09:29,060 --> 00:09:40,240
+لو طرحت cot θ (ثيتا) من cot φ (فاي)، cot φ (فاي) minus cot θ (ثيتا) هيكون يساوي
+
+95
+00:09:40,240 --> 00:09:50,360
+P B زائد C على I P minus P B على I P، هيساوي طبعا هيروح
+
+96
+00:09:50,360 --> 00:09:58,060
+P B مع P B، هيساوي الـC على I P، يساوي الـC، الـI P اللي
+
+97
+00:09:58,060 --> 00:10:01,260
+هي عبارة عن المسافة بين المحور الأمامي والمحور
+
+98
+00:10:01,260 --> 00:10:06,480
+الخلفي، اللي هي B. معناته لازم يطلع عندك cotangent
+
+99
+00:10:08,150 --> 00:10:19,570
+cot φ (فاي) minus cot θ (ثيتا) بيساوي C على B. هذه بيسموها الـ
+
+100
+00:10:19,570 --> 00:10:25,230
+condition for correct steering. إيش
+
+101
+00:10:25,230 --> 00:10:26,830
+يعني condition for correct steering.
+
+102
+00:10:32,730 --> 00:10:36,770
+مركز الدوران اللحظي للأربع عجلات هو نفس المركز. مش
+
+103
+00:10:36,770 --> 00:10:41,730
+أكثر من مركز. في الحالة هذه بأضمن ما يصيرش عندي أي
+
+104
+00:10:41,730 --> 00:10:45,030
+انزلاق، سواء انزلاق للعجلات الأمامية أو انزلاق
+
+105
+00:10:45,030 --> 00:10:48,590
+للعجلات الخلفية. هذه الـcondition of correct
+
+106
+00:10:48,590 --> 00:10:50,790
+steering، cotangent φ (فاي) minus cotangent θ (ثيتا)
+
+107
+00:10:50,790 --> 00:11:01,050
+بيساوي C على B. طيب،
+
+108
+00:11:04,060 --> 00:11:07,100
+تطبيقا، طبعا احنا عرفنا الـcondition for correct
+
+109
+00:11:07,100 --> 00:11:07,580
+steering.
+
+110
+00:11:17,600 --> 00:11:21,940
+طب بما أن عرفنا أن الـcondition for correct steering،
+
+111
+00:11:21,940 --> 00:11:28,620
+تم تطوير ما يسمى ديفز steering gear، اللي هي واحدة
+
+112
+00:11:28,620 --> 00:11:31,920
+اسمها ديفز، ديفز steering gear، ديفز steering gear.
+
+113
+00:11:31,920 --> 00:11:41,220
+هي هذا الـfront wheel. عندي دولاب عند B، وعند
+
+114
+00:11:41,220 --> 00:11:43,380
+دولاب عند D.
+
+115
+00:12:13,320 --> 00:12:18,320
+هو عندي الـ، الـ، الـwheel، وB is allowed to rotate
+
+116
+00:12:18,320 --> 00:12:22,000
+about نقطة A. عندي محور دوران
+
+117
+00:12:25,820 --> 00:12:31,180
+والـwheel عند D is allowed to rotate about point C.
+
+118
+00:12:31,180 --> 00:12:43,200
+هذا
+
+119
+00:12:43,200 --> 00:12:48,340
+الـlink B A. هذا كلها الـlink واحدة.
+
+120
+00:12:56,400 --> 00:13:01,260
+والـD C H هذه link
+
+121
+00:13:01,260 --> 00:13:05,900
+واحدة.
+
+122
+00:13:05,900 --> 00:13:13,960
+وفي عندي slider هنا، عندي
+
+123
+00:13:13,960 --> 00:13:18,340
+هنا slider، و
+
+124
+00:13:18,340 --> 00:13:24,060
+عندي هنا slider pair، sliding pair. فعندي هنا
+
+125
+00:13:24,060 --> 00:13:29,020
+revolute pair، وهنا revolute pair. مربوط اللي فيها
+
+126
+00:13:29,020 --> 00:13:38,080
+الـlink هذا، الـlink. فعندي هنا sliding pair عند E، و
+
+127
+00:13:38,080 --> 00:13:45,360
+sliding pair عند F. sliding pair عند E ثابت، وعند F
+
+128
+00:13:45,360 --> 00:13:50,420
+ثابت، والـrod هذا
+
+129
+00:13:54,310 --> 00:14:01,910
+G، والـrod G H مسموح له يتحرك بهذا الاتجاه. يعني معناته
+
+130
+00:14:01,910 --> 00:14:07,550
+لو لفت السيارة يمين، هتلف كلها، هتلف هذا زي هيك، هذا
+
+131
+00:14:07,550 --> 00:14:10,710
+هينسحب بهذا الاتجاه. لو لفت الشمال، هذا هيروح على
+
+132
+00:14:10,710 --> 00:14:11,830
+الشمال.
+
+133
+00:14:19,640 --> 00:14:22,740
+هذه الزاوية لما السيارة ماشية عدل، هذه الزاوية
+
+134
+00:14:22,740 --> 00:14:31,460
+بسميها α (ألفا). هذه الزاوية α (ألفا).
+
+135
+00:14:31,460 --> 00:14:37,040
+معناته هذه آلية ونظرية عمل الـsteering في السيارة،
+
+136
+00:14:37,040 --> 00:14:41,200
+الـsteering في السيارات القديمة طبعا، ومطلقة
+
+137
+00:14:41,200 --> 00:14:44,820
+السيارات باسمها Davis steering gear mechanism.
+
+138
+00:14:44,820 --> 00:14:52,130
+Davis steering gear mechanism. الآن خلينا نعمل الـ
+
+139
+00:14:52,130 --> 00:14:56,150
+mathematics بتاعها، نتأكد أنها satisfy أو إيه
+
+140
+00:14:56,150 --> 00:14:59,930
+satisfy الـcorrect steering condition. يعني cot φ (فاي)
+
+141
+00:14:59,930 --> 00:15:06,670
+minus cot θ (ثيتا) يساوي B على C. نتطلع
+
+142
+00:15:06,670 --> 00:15:18,090
+على شكل أكثر تفصيلا. أنا
+
+143
+00:15:18,090 --> 00:15:24,450
+عندي سيارة. هذه العجلات الأمامية، أو محور العجلات
+
+144
+00:15:24,450 --> 00:15:44,150
+الأمامية. هذه عجلة، وهذه
+
+145
+00:15:44,150 --> 00:15:45,270
+العجلات الخلفية.
+
+146
+00:16:04,830 --> 00:16:09,410
+وهاي الـchassis للسيارة، body بتاع السيارة، الهيكل
+
+147
+00:16:09,410 --> 00:16:13,070
+بتاعها.
+
+148
+00:16:13,070 --> 00:16:20,310
+عند
+
+149
+00:16:20,310 --> 00:16:28,870
+pivot عند A، عند pivot، محور دوران عند نقطة A، ومحور
+
+150
+00:16:28,870 --> 00:16:32,110
+دوران عند نقطة B.
+
+151
+00:16:40,500 --> 00:16:53,620
+عندي link، في عندي link، هذه بالعجل جاه زي هيك، it
+
+152
+00:16:53,620 --> 00:16:54,580
+can slide
+
+153
+00:17:08,360 --> 00:17:13,320
+كان يـslide في هذا الاتجاه، وعند العجل الثاني فيه
+
+154
+00:17:13,320 --> 00:17:19,980
+link، وهي محور... هاي الـlink طالعة، وفي كمان
+
+155
+00:17:19,980 --> 00:17:24,080
+another block اللي ممكن الـlink to slide inside.
+
+156
+00:17:24,080 --> 00:17:27,880
+وفي
+
+157
+00:17:27,880 --> 00:17:36,420
+عند الـrod، الـrod اللي
+
+158
+00:17:36,420 --> 00:17:37,500
+هو الـrod الـC D.
+
+159
+00:17:41,770 --> 00:17:48,730
+C D، في عندي هنا sliding pair، sliding
+
+160
+00:17:48,730 --> 00:17:56,070
+pair عند P و Q. السيارة
+
+161
+00:17:56,070 --> 00:17:59,970
+ماشية، هذه في الأول كانت الزاوية هذه، هذه الزاوية
+
+162
+00:17:59,970 --> 00:18:01,970
+α (ألفا).
+
+163
+00:18:13,460 --> 00:18:17,720
+هذه الزاوية α (ألفا).
+
+164
+00:18:17,720 --> 00:18:24,600
+المسافة
+
+165
+00:18:24,600 --> 00:18:32,720
+من C للمحور هذا، والسيارة
+
+166
+00:18:32,720 --> 00:18:37,640
+مش عدل، D، وهذه ستكون أيضا D.
+
+167
+00:18:51,220 --> 00:18:55,440
+طيب، الآن السيارة بدي ألفها على الشمال، بدي أعمل دوران
+
+168
+00:18:55,440 --> 00:19:01,080
+على الشمال. معناته إذا هتعمل دوران على الشمال، هيصير
+
+169
+00:19:01,080 --> 00:19:12,920
+العجلات، العجلة اللي على اليمين هيها، وهذا
+
+170
+00:19:12,920 --> 00:19:15,500
+الـrod، هيمشي بهذا الاتجاه، هينزلق بهذا الاتجاه.
+
+171
+00:19:22,400 --> 00:19:27,120
+هذا سيصبح C'، والعجلة
+
+172
+00:19:27,120 --> 00:19:31,120
+B هي
+
+173
+00:19:31,120 --> 00:19:39,160
+العجلة B، سلفت لأن هتسحب D، هتروح عن D'، سيصبح هنا
+
+174
+00:19:39,160 --> 00:19:40,160
+دي D'.
+
+175
+00:19:49,790 --> 00:19:54,410
+لأن for correct steering، for correct street
+
+176
+00:19:54,410 --> 00:20:02,330
+steering، لازم يكون لهم نفس الـinstant center for
+
+177
+00:20:02,330 --> 00:20:13,090
+correct steering. لازم يكون لهم نفس الـinstant، نفس
+
+178
+00:20:13,090 --> 00:20:14,050
+الـinstant center.
+
+179
+00:20:22,960 --> 00:20:28,380
+هذا النقطة I، Instant Center. هذا
+
+180
+00:20:28,380 --> 00:20:41,100
+النقطة P. هذا
+
+181
+00:20:41,100 --> 00:20:44,940
+الزاوية θ (ثيتا).
+
+182
+00:20:44,940 --> 00:20:48,360
+هذا
+
+183
+00:20:48,360 --> 00:20:50,960
+الزاوية φ (فاي).
+
+184
+00:21:05,470 --> 00:21:09,330
+طيب، الآن هذه الـlink كلها بتلف، الـlink كان زي كذا، و
+
+185
+00:21:09
+
+223
+00:26:20,540 --> 00:26:26,900
+الـ A'C اللي هي بقرا عن D بقرا
+
+224
+00:26:26,900 --> 00:26:33,820
+عن D على A يعني
+
+225
+00:26:33,820 --> 00:26:44,880
+أنا حاسس إن عندي الـ 10 Alpha زائد Phi  بيساوي
+
+226
+00:26:44,880 --> 00:26:53,470
+الـ 10 Alpha اللي هي D على A زائد
+
+227
+00:26:53,470 --> 00:26:57,450
+Tan Phi على
+
+228
+00:26:57,450 --> 00:27:07,850
+واحد ناقص الـ D على A ال
+
+229
+00:27:07,850 --> 00:27:16,510
+Tan Alpha اللي حكينا اللي هي D على A زائد D على A
+
+230
+00:27:16,510 --> 00:27:28,940
+في Tan الـ Fi بيساوي D زائد X على A لو ضربت الـ bus
+
+231
+00:27:28,940 --> 00:27:35,280
+في A والمقام في A، ما بيغيرش، هسير عنده قطب الـ
+
+232
+00:27:35,280 --> 00:27:45,520
+bus في A بيسير عند D زائد A tan Fi على A
+
+233
+00:27:48,080 --> 00:28:08,360
+-D tan فاي بيساوي D زائد X على A طيب
+
+234
+00:28:08,360 --> 00:28:11,940
+بدّي أعمل cross حأسيب عندي دي A
+
+235
+00:28:16,460 --> 00:28:27,440
+زائد a squared tan phi هتساوي a
+
+236
+00:28:27,440 --> 00:28:30,640
+في
+
+237
+00:28:30,640 --> 00:28:35,600
+d زائد x ناقص
+
+238
+00:28:35,600 --> 00:28:42,920
+d tan phi في d زائد x
+
+239
+00:28:46,060 --> 00:28:49,380
+لأنّي هجيب هادي على الجهة التانية هيسيب عندي a square
+
+240
+00:28:49,380 --> 00:29:00,360
+و هاخد tan phi على مشترك زائد d في d زائد x في tan
+
+241
+00:29:00,360 --> 00:29:07,040
+phi بيساوي
+
+242
+00:29:07,040 --> 00:29:13,660
+a d زائد a x ناقص a d
+
+243
+00:29:18,830 --> 00:29:25,990
+هيروح حد مع حد، بقى أنا أتحسّن عن دي a squared زائد
+
+244
+00:29:25,990 --> 00:29:34,730
+d squared زائد dx أو مباشرة أحكي أنه tan phi tan
+
+245
+00:29:34,730 --> 00:29:38,870
+phi بتساوي
+
+246
+00:29:38,870 --> 00:29:42,110
+ax
+
+247
+00:29:42,110 --> 00:29:44,930
+على
+
+248
+00:29:48,900 --> 00:30:00,160
+بيساوي ax على a² زائد d² زائد d في x هي دي tan فاي
+
+249
+00:30:00,160 --> 00:30:06,580
+معناه تكون tangent فاي هتساوي
+
+250
+00:30:06,580 --> 00:30:16,200
+العكس a تربيع زائد d تربيع زائد dx على ax
+
+251
+00:30:22,470 --> 00:30:27,670
+طيب بنفس المنطقة هنجي على المثلث على الشمال هاخد
+
+252
+00:30:27,670 --> 00:30:31,610
+المثلث (repeated Bs removed)
+
+253
+00:30:31,610 --> 00:30:32,790
+(repeated Bs removed)
+
+254
+00:30:32,790 --> 00:30:37,450
+(repeated Bs removed)
+
+255
+00:30:37,450 --> 00:30:39,030
+(repeated Bs removed)
+
+256
+00:30:39,030 --> 00:30:41,310
+(repeated Bs removed)
+
+257
+00:30:41,310 --> 00:30:42,990
+(repeated Bs removed)
+
+258
+00:30:49,590 --> 00:30:54,070
+الزاوية الكلية هذه Alpha وهذه زاوية هذه Alpha وهذه
+
+259
+00:30:54,070 --> 00:31:04,510
+Theta معناته تان Alpha ناقص Theta تان Alpha ناقص
+
+260
+00:31:04,510 --> 00:31:08,570
+Theta Alpha
+
+261
+00:31:08,570 --> 00:31:14,010
+تان Alpha ناقص
+
+262
+00:31:14,010 --> 00:31:18,110
+Theta هتساوي
+
+263
+00:31:19,760 --> 00:31:38,100
+B' D' على B B B' B B' الآن B' D' هذا عبارة
+
+264
+00:31:38,100 --> 00:31:43,280
+عن D ناقص X D ناقص
+
+265
+00:31:43,280 --> 00:31:48,080
+X على B B' اللي هي H A
+
+266
+00:31:54,030 --> 00:32:01,790
+في نفس الوقت هذه tan alpha هتكون تساوي tan alpha
+
+267
+00:32:01,790 --> 00:32:06,830
+ناقص tan alpha ناقص theta هتكون تساوي tan alpha
+
+268
+00:32:06,830 --> 00:32:20,110
+ناقص tan theta على واحد زائد tan alpha tan
+
+269
+00:32:20,110 --> 00:32:22,410
+theta
+
+270
+00:32:26,880 --> 00:32:39,680
+طيب ناخد المثلث بي بي برايم دي المثلث أو
+
+271
+00:32:39,680 --> 00:32:45,800
+ما فيه داعي الآن  هتساوي الآن
+
+272
+00:32:45,800 --> 00:32:50,400
+تان ألفا احنا حكينا أنا already حسبنا تان ألفا تان
+
+273
+00:32:50,400 --> 00:32:53,020
+ألفا اللي هي D على A هتكون دي
+
+274
+00:32:56,400 --> 00:33:04,320
+D ناقص X على A  بصوت  10 Alpha اللي هي D على A D
+
+275
+00:33:04,320 --> 00:33:09,500
+على A ناقص
+
+276
+00:33:09,500 --> 00:33:24,820
+10 Theta على واحد زائد D على A 10θ هضرب البسط في a
+
+277
+00:33:24,820 --> 00:33:29,660
+والمقام في a ما بتغيرش ايه هتصير إن دي d ناقص x
+
+278
+00:33:29,660 --> 00:33:47,180
+على a بيساوي d ناقص a tan θ على a زائد d tan
+
+279
+00:33:48,630 --> 00:34:02,570
+ثيتا هعمل cross هتصير عندي a هتصير عندي a d ناقص
+
+280
+00:34:02,570 --> 00:34:11,790
+a تربيع tan ثيتا هيساوي a في d ناقص x
+
+281
+00:34:17,530 --> 00:34:36,210
+زائد D في D ناقص X Tan Theta الآن
+
+282
+00:34:36,210 --> 00:34:39,750
+هجيب الـ Tan Theta على الجهة التانية هيسيب عندي A
+
+283
+00:34:39,750 --> 00:34:43,710
+Square A
+
+284
+00:34:43,710 --> 00:34:44,110
+Square
+
+285
+00:34:47,120 --> 00:34:58,920
+زائد d² ناقص dx في tan θ أنا
+
+286
+00:34:58,920 --> 00:35:09,960
+جبت هادي هين هتكون السواء  a دي a دي
+
+287
+00:35:09,960 --> 00:35:14,120
+ناقص a
+
+288
+00:35:15,250 --> 00:35:21,730
+في D ناقص X يعني
+
+289
+00:35:21,730 --> 00:35:26,550
+عندي هنا A D بتروح مع A D بيضلّ A X معناته tan θ
+
+290
+00:35:26,550 --> 00:35:36,450
+تان ثيتا هتساوي tan θ هتساوي
+
+291
+00:35:36,450 --> 00:35:42,050
+A X على
+
+292
+00:35:42,050 --> 00:35:44,190
+A Square
+
+293
+00:35:47,700 --> 00:35:56,620
+على a squared زائد d squared ناقص dx معناه الـ
+
+294
+00:35:56,620 --> 00:36:03,640
+quotient عكسها cot θ هتساوي
+
+295
+00:36:03,640 --> 00:36:11,500
+a squared زائد d squared ناقص dx على ax
+
+296
+00:36:15,350 --> 00:36:20,050
+الآن خليني امسح وأخلي الشغلات اللي بتهمني حاليا
+
+297
+00:36:20,050 --> 00:36:41,930
+بتهمني هذه المعادلة احنا already هذه عملناها احنا
+
+298
+00:36:41,930 --> 00:36:42,410
+وصلنا
+
+299
+00:36:47,500 --> 00:36:54,900
+ووصلنا إن cot phi بيساوي
+
+300
+00:36:54,900 --> 00:37:06,320
+a squared زائد d squared زائد dx على ax و cot
+
+301
+00:37:06,320 --> 00:37:17,350
+theta بيساوي a squared زائد d squared ناقص dx
+
+302
+00:37:17,350 --> 00:37:25,170
+على ax هذا الخلاصة وصلنا لها معناته اللي هودّ أحكي
+
+303
+00:37:25,170 --> 00:37:32,410
+cot فاي ناقص cot ثيتا هاخد ax على
+
+304
+00:37:32,410 --> 00:37:32,970
+مشترك
+
+305
+00:37:35,650 --> 00:37:47,310
+هيكون عندي a² زائد d² زائد dx ناقص a² زائد d² ناقص
+
+306
+00:37:47,310 --> 00:37:55,810
+dx هيساوي هيروح a² مع a² وd² مع d²  بيصير
+
+307
+00:37:55,810 --> 00:38:02,650
+2dx بيساوي 2dx على ax يعني بيساوي 2
+
+308
+00:38:05,130 --> 00:38:14,230
+على a 2 دي على a ال
+
+309
+00:38:14,230 --> 00:38:18,970
+دي على a احنا حكينا اللي هي tan alpha يعني هتكون
+
+310
+00:38:18,970 --> 00:38:27,130
+اليساوي 2 tan alpha اللي احنا for correct
+
+311
+00:38:27,130 --> 00:38:31,130
+correct steering
+
+312
+00:38:34,860 --> 00:38:39,800
+لازم يكون عندي التالي لازم يكون عندي cot فاي ناقص
+
+313
+00:38:39,800 --> 00:38:45,920
+cot θ تساوي b
+
+314
+00:38:45,920 --> 00:38:55,960
+على c b على c b على c b على c عشان الـ
+
+315
+00:38:55,960 --> 00:38:59,500
+correct steering يعني كل العجلات الأربعة لهم نفس مركز
+
+316
+00:38:59,500 --> 00:39:08,970
+دوران اللحظة اللي هي بتساوي 2 تان ألفا يعني تان
+
+317
+00:39:08,970 --> 00:39:16,750
+ألفا هتساوي b على 2c
+
+318
+00:39:19,610 --> 00:39:23,110
+يعني to satisfy the condition of correct steering
+
+319
+00:39:23,110 --> 00:39:27,230
+لازم تكون الزاوية Alpha قيمتها b على 2c otherwise
+
+320
+00:39:27,230 --> 00:39:31,890
+(Repeated lines removed)
+
+321
+00:39:31,890 --> 00:39:37,370
+(Repeated lines removed)
+
+322
+00:39:37,370 --> 00:39:37,930
+(Repeated lines removed)
+
+323
+00:39:37,930 --> 00:39:38,290
+(Repeated lines removed)
+
+324
+00:39:38,290 --> 00:39:39,110
+(Repeated lines removed)
+
+325
+00:39:39,110 --> 00:39:39,370
+(Repeated lines removed)
+
+326
+00:39:39,370 --> 00:39:41,110
+(Repeated lines removed)
+
+327
+00:39:41,110 --> 00:39:46,090
+(Repeated lines removed)
+
+328
+00:39:46,090 --> 00:39:48,070
+(Repeated lines removed)
+
+329
+00:39:48,070 --> 00:39:48,210
+(Repeated lines removed)
+
+330
+00:39:59,930 --> 00:40:03,750
+طيب زي ما حكينا tan alpha بيساوي c أو
+
+331
+00:40:03,750 --> 00:40:14,330
+بيساوي اللي هو b في شيء غلط شكله عندي 2 D على A
+
+332
+00:40:14,330 --> 00:40:20,930
+اللي هي tan alpha 2 tan alpha يعني شكله مخربط
+
+333
+00:40:20,930 --> 00:40:25,910
+على اللي هم tan ألفا تطلع اللي هي c على 2b c
+
+334
+00:40:25,910 --> 00:40:32,450
+c على 2b الآن ارجعوا ليه في أيش إن أنا
+
+335
+00:40:32,450 --> 00:40:36,350
+أعكسها ارجعوا لها في الاشتقاقات السابقة شوفوا وين في
+
+336
+00:40:36,350 --> 00:40:40,910
+خطأ ما طيب
+
+337
+00:40:40,910 --> 00:40:46,490
+انحلّ
+
+338
+00:40:46,490 --> 00:40:46,890
+example
+
+339
+00:41:06,790 --> 00:41:09,730
+in a Davis steering gear the distance between the
+
+340
+00:41:09,730 --> 00:41:15,070
+pivots of the front axle in a Davis steering gear
+
+341
+00:41:15,070 --> 00:41:17,630
+the distance between the pivots of the front axle
+
+342
+00:41:17,630 --> 00:41:23,490
+is المسافة هذه مع
+
+343
+00:41:23,490 --> 00:41:27,950
+الطول اللي هي المسافة c المسافة
+
+344
+00:41:27,950 --> 00:41:31,670
+c واحد
+
+345
+00:41:31,670 --> 00:41:40,550
+point اتنين متر and the wheel base اللي هي b يساوي
+
+346
+00:41:40,550 --> 00:41:46,510
+اتنين وسبعة وعشرة متر find the inclination of
+
+347
+00:41:46,510 --> 00:41:49,370
+the track arm to the longitudinal axis of the gear
+
+348
+00:41:49,370 --> 00:41:51,650
+when it is moving along a straight line بدّي الـ
+
+349
+00:41:51,650 --> 00:41:58,110
+يعني احنا حكينا tan alpha tan
+
+350
+00:41:58,110 --> 00:42:01,870
+alpha بيساوي
+
+351
+00:42:01,870 --> 00:42:09,160
+الـ c على 2b يعني هتكون الـ c عند 1.2
+
+352
+00:42:09,160 --> 00:42:16,780
+على 2 في 2.7 اقصد منها بحسب الـ
+
+353
+00:42:16,780 --> 00:42:17,060
+alpha
+
+354
+00:42:32,480 --> 00:42:36,060
+لأن في قلية ثانية لل steering في السيارة تسمى A
+
+355
+00:42:36,060 --> 00:42:39,200
+-Carman Steering Gear Mechanism A-Carman Steering
+
+356
+00:42:39,200 --> 00:42:42,120
+Gear Mechanism خلينا نشوف وبعدين نطلع الفرق بين
+
+357
+00:42:42,120 --> 00:42:48,820
+الاثنتين في الـ A-Carman Steering Mechanism هذه
+
+358
+00:42:48,820 --> 00:42:57,320
+العجلات الأمامية وهذه العجلات الخلفية عندي هذا هو
+
+359
+00:42:57,320 --> 00:43:01,980
+المحور الأمامي للسيارة وهذا المحور الخلفي للسيارة
+
+360
+00:43:04,460 --> 00:43:07,980
+الآن عندي هذه الـ link مربوطة في العجلة اللي أنا بدّي
+
+361
+00:43:07,980 --> 00:43:10,660
+ألف على الشمال هذه الـ link مربوطة في العجلة اللي
+
+362
+00:43:10,660 --> 00:43:12,740
+على اليمين وهذه الـ link مربوطة في العجلة اللي على
+
+363
+00:43:12,740 --> 00:43:19,100
+الشمال معناته هذه four bar linkage عندي واحد اثنين
+
+364
+00:43:19,100 --> 00:43:24,300
+ثلاثة أربعة أول
+
+365
+00:43:24,300 --> 00:43:28,800
+شيء في الـ a car man steering mechanism الـ steering
+
+366
+00:43:28,800 --> 00:43:33,030
+mechanism جاية وراء الـ front axle في الـ Davis
+
+367
+00:43:33,030 --> 00:43:37,410
+Mechanism جايلستيري ميكانيزم أمام الـ front axle
+
+368
+00:43:37,410 --> 00:43:42,450
+هاي رقم واحد رقم اثنين الـ Ackermann في الـ .. في الـ
+
+369
+00:43:42,450 --> 00:43:45,810
+.. في الـ Davis Mechanism في عندي sliding
+
+370
+00:43:45,810 --> 00:43:50,410
+pairs في الـ Ackermann ما فيش عندي أي sliding pair كلّه
+
+371
+00:43:50,410 --> 00:43:53,910
+revolute هاي واحد revolute .. revolute .. revolute
+
+372
+00:43:53,910 --> 00:43:57,830
+.. revolute طبعا الـ revolute اللي بنعامل معاها أسهل
+
+373
+00:43:57,830 --> 00:44:05,210
+ومشاكلها أقل بس مش هتكون exact .. exact .. مش
+
+374
+00:44:05,210 --> 00:44:11,310
+هتكون exact .. مش هتحقق الـ condition for correct
+
+375
+00:44:11,310 --> 00:44:14,330
+steering مئة في المئة هتكون very close للـ correct
+
+376
+00:44:14,330 --> 00:44:20,790
+steering mechanism إذا بدكم تفاصيل أكثر ممكن
+
+377
+00:44:20,790 --> 00:44:23,710
+ترجعوا لـ YouTube أو الـ net هتلاقوا تفاصيل كثيرة
+
+378
+00:44:23,710 --> 00:44:27,630
+للحسابات طبعا هدي ببساطة هدي four bar
+
+379
+00:44:27,630 --> 00:44:33,230
+mechanism ممكن أعتبر هذه الزاوية فاي وهذه الزاوية
+
+380
+00:44:33,230 --> 00:44:39,330
+ثيتا كل حاجة بتعمل mathematics تاعتها بيحسّ إن
+
+381
+00:44:39,330 --> 00:44:44,330
+كتير موجودة الـ condition for correct steering إن الـ
+
+382
+00:44:44,330 --> 00:44:47,810
+instantaneous center of rotation للـ أربع عجلات لازم يكون
+
+383
+00:44:47,810 --> 00:44:50,810
+نفس النقطة ما ينفعش بس إن الأربع عجلات هاد يكون هنا
+
+384
+00:44:50,810 --> 00:44:55,470
+يكون هنا وهذا هنا بيصير إنزلاق للعجلات
+
+385
+00:44:59,950 --> 00:45:04,310
+طيب الـ .. الـ .. الـ .. الآن ننهي المحاضرة والـ
+
+386
+00:45:04,310 --> 00:45:06,470
+المحاضرة الجاية بنحكي على موضوع جديد اللي هو
+
+387
+00:45:06,470 --> 00:45:11,890
+universal or Hooke's joint أعطيكم
+
+388
+00:45:11,890 --> 00:45:12,250
+العافية
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/CNA7zsGkQA4_postprocess.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/CNA7zsGkQA4_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..86789419f712bce78f47612b558e227f54fd1b8a
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/CNA7zsGkQA4_postprocess.srt
@@ -0,0 +1,1552 @@
+1
+00:00:04,960 --> 00:00:07,920
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,920 --> 00:00:13,560
+وبركاته اليوم هنكمل جزء التاني من ال chapter اللي
+
+3
+00:00:13,560 --> 00:00:17,500
+هو mechanisms with lower pairs المرة فاتحاكينا على
+
+4
+00:00:17,500 --> 00:00:21,280
+ال exact straight line mechanisms ال general
+
+5
+00:00:21,280 --> 00:00:26,320
+principle اذا نرجع على الشكل هذا ان o a عشان نقطة
+
+6
+00:00:26,320 --> 00:00:31,460
+b تتحرك على خط مستقيم لازم يكون حاصل ضرب o a في o
+
+7
+00:00:31,460 --> 00:00:37,260
+bالثابت و تطبيقا على الكلام هذاتم تطوير اللي هي
+
+8
+00:00:37,260 --> 00:00:40,700
+peculiar mechanism فى peculiar mechanism مكوّنة من
+
+9
+00:00:40,700 --> 00:00:44,500
+link واحد link اتنين link تلاتة link اربع خمس ستة
+
+10
+00:00:44,500 --> 00:00:47,280
+سبعة تمانية links عندهين revolute, revolute,
+
+11
+00:00:47,300 --> 00:00:50,720
+revolute, revolute, revolute عند ال link O when A
+
+12
+00:00:50,720 --> 00:00:56,600
+is allowed to rotate along a circle أثبتنا
+
+13
+00:00:56,600 --> 00:01:02,060
+أن OA في OB is constant معناته بي will trace a
+
+14
+00:01:02,060 --> 00:01:04,860
+straight line اليوم هنكمل
+
+15
+00:01:07,890 --> 00:01:10,990
+هنحكي عن ال steering gear mechanism ال steering
+
+16
+00:01:10,990 --> 00:01:15,550
+تاع السيارة ال steering gear mechanism is used for
+
+17
+00:01:15,550 --> 00:01:20,670
+changing direction of two or more of the wheel
+
+18
+00:01:20,670 --> 00:01:23,470
+axis with reference to the chassis الهدف من ال
+
+19
+00:01:23,470 --> 00:01:26,350
+steering mechanism أنه أغير اتجاه ألف يمين أو
+
+20
+00:01:26,350 --> 00:01:32,190
+الشمال يا ما بلف عجلتين الأماميات زي السيارات
+
+21
+00:01:32,190 --> 00:01:38,960
+العادية التقليديةأو بلف العجلات الخلفية زي في حالة
+
+22
+00:01:38,960 --> 00:01:45,100
+اللي هو ال fork lift او في حالة الجبهات الحديثة
+
+23
+00:01:45,100 --> 00:01:47,460
+ممكن يكون عندي four wheel drive ان العجلات
+
+24
+00:01:47,460 --> 00:01:50,180
+الأمامية والعجلات الخلفية تلف تصبح ال rotation
+
+25
+00:01:50,180 --> 00:01:53,780
+اللي هي بالنسبة لل body او ال chassis بتاع السيارة
+
+26
+00:01:53,780 --> 00:01:59,180
+في معضل احوال اكتر شويه في السيارات ال front
+
+27
+00:01:59,180 --> 00:02:04,180
+wheels بنحطه على ال front axle على المحور الأمامي
+
+28
+00:02:05,030 --> 00:02:09,090
+وعشان نلف يمين او شمال بيكون فيهم محاور دوران
+
+29
+00:02:09,090 --> 00:02:13,550
+pivoted and two positions هذه المحاور fixed
+
+30
+00:02:13,550 --> 00:02:18,090
+بالنسبة لل chases of the automobile العجلات
+
+31
+00:02:18,090 --> 00:02:24,670
+الخلفية في معظم السيارات بتكون يعني ال axis بتاعها
+
+32
+00:02:24,670 --> 00:02:31,430
+ثابت مافيش rotations للعجلات
+
+33
+00:02:31,430 --> 00:02:33,310
+لأن انبين عندى
+
+34
+00:02:38,180 --> 00:02:48,180
+عندي top view او schematic top view of a car هذا
+
+35
+00:02:48,180 --> 00:02:53,300
+ال front axle هذا العجلات الأمامية عند هنا عجلة
+
+36
+00:02:53,300 --> 00:03:02,800
+هنا دولاب عند دولاب هنا وهذا
+
+37
+00:03:02,800 --> 00:03:04,360
+المحور الخلفي للسيارة
+
+38
+00:03:08,490 --> 00:03:15,410
+عندي هنا دولاب وعندي
+
+39
+00:03:15,410 --> 00:03:23,330
+دولاب و
+
+40
+00:03:23,330 --> 00:03:24,770
+هذا ال body بتاع السيارة
+
+41
+00:03:33,430 --> 00:03:37,210
+المسافة بين المحورين المحور العجلات الأمامية ومحور
+
+42
+00:03:37,210 --> 00:03:51,950
+العجلات الخلفية بسميها اللي هو B الان
+
+43
+00:03:51,950 --> 00:04:00,570
+نقطة A هذه نقطة هذه نقطة A هذه نقطة B هذه محاور
+
+44
+00:04:00,570 --> 00:04:07,240
+دورانلأ عشان اذا بدى ألف على الشمال لازم ألف في ال
+
+45
+00:04:07,240 --> 00:04:10,980
+.. يكون فيه .. في انه allowed to rotate this way
+
+46
+00:04:10,980 --> 00:04:14,060
+لعقب .. يعني بدى أسمح ان العقل دولاب هذا يلف حوالي
+
+47
+00:04:14,060 --> 00:04:18,160
+نقطة A و دولاب التاني على الشمال يلف حوالي نقطة B
+
+48
+00:04:18,160 --> 00:04:24,580
+لما نلف هصير الوضع التالي with rotation
+
+49
+00:04:43,730 --> 00:04:48,650
+معناته هذه المسافة بين ال two pivots A و B بسميها
+
+50
+00:04:48,650 --> 00:04:59,990
+C هذه المسافة
+
+51
+00:04:59,990 --> 00:05:05,550
+C وهذه المسافة بسميها بين البراكز العجلتين او
+
+52
+00:05:05,550 --> 00:05:09,110
+الدولاب دواليب بسميها A
+
+53
+00:05:19,540 --> 00:05:28,400
+الان عشان السيارة تلف بدون انزلاقلازم يكون مركز
+
+54
+00:05:28,400 --> 00:05:32,980
+الدوران اللحظي للعجلات الأمامية العجل الأمامية
+
+55
+00:05:32,980 --> 00:05:35,840
+اللي على اليمين و العجل الأمامية اللي على الشمال و
+
+56
+00:05:35,840 --> 00:05:39,180
+العجلات الخلفية نفس النقطة لازم يكون مركز دوران
+
+57
+00:05:39,180 --> 00:05:43,760
+لحظي للأربع عجلات نفس النقطة الان مركز دوران لحظي
+
+58
+00:05:43,760 --> 00:05:50,120
+للسيارة بيجي على امتداد الخط هذا الان four four
+
+59
+00:05:50,120 --> 00:05:57,020
+نحكي حكيانا fourpure rotation او for المركز دوران
+
+60
+00:05:57,020 --> 00:06:04,320
+اللحظة للسيارة I عشان مايصيرش عندي skidding او
+
+61
+00:06:04,320 --> 00:06:06,760
+انزلاق لكن يجب ان يكون مركز اللحظة العجلة A
+
+62
+00:06:06,760 --> 00:06:10,660
+والعجلة B والعجلات الخلفية نفس النقطة اذا كان اكتر
+
+63
+00:06:10,660 --> 00:06:15,580
+من مركز دور اللحظة اكيد هيصير انزلاق الآن عشان انا
+
+64
+00:06:15,580 --> 00:06:18,300
+اعمل فرضية هذه انه هيكون فيش عندي انزلاق
+
+65
+00:06:25,490 --> 00:06:31,450
+هذه الزاوية هسميها في هذا مركز دوران اللحظة I
+
+66
+00:06:31,450 --> 00:06:34,930
+وعندي
+
+67
+00:06:34,930 --> 00:06:40,610
+هذه
+
+68
+00:06:40,610 --> 00:06:45,310
+الزاوية ثتا
+
+69
+00:06:45,310 --> 00:06:51,310
+هذه
+
+70
+00:06:51,310 --> 00:06:51,610
+P
+
+71
+00:07:09,520 --> 00:07:14,660
+طبعا لاحظوا العجلة إذا أنا بلف في الجمال العجلة
+
+72
+00:07:14,660 --> 00:07:16,660
+اللي على اليمين .. العجلة اللي على اليمين هتكون
+
+73
+00:07:16,660 --> 00:07:24,660
+أسرع .. بتلف بسرعة أسرع من العجلة B يعني A بتكون
+
+74
+00:07:24,660 --> 00:07:30,980
+أسرع من B لأن المسار هتمشي عليه أكبر وبالتالي عشان
+
+75
+00:07:30,980 --> 00:07:36,100
+اتلاحق مع B لازم تكون A أسرع من B العجلة A أسرع من
+
+76
+00:07:36,100 --> 00:07:41,430
+العجلة بيكونوش نفس السرعةالعجلة A بتكون نفس سرعة
+
+77
+00:07:41,430 --> 00:07:43,550
+العجلة B لكن إذا كانت السرعة ماشية على خط مستقل
+
+78
+00:07:43,550 --> 00:07:48,230
+مافيش دوران بيكون عجلة السرعة A بتساوي عجلة السرعة
+
+79
+00:07:48,230 --> 00:07:54,150
+B طيب
+
+80
+00:07:54,150 --> 00:07:57,570
+ال
+
+81
+00:07:57,570 --> 00:08:01,210
+cotangent الزاوية ال cotangent الزاوية في
+
+82
+00:08:01,210 --> 00:08:09,780
+cotangent في اللي هي عكس التاني cotangentالـ Phi
+
+83
+00:08:09,780 --> 00:08:19,420
+بسوء المجاور على المقابل اللي هو AP على
+
+84
+00:08:19,420 --> 00:08:24,980
+IP طبعا
+
+85
+00:08:24,980 --> 00:08:31,360
+AP عبارة عن PB زائد
+
+86
+00:08:31,360 --> 00:08:37,800
+AB عبارة عن PB زائد
+
+87
+00:08:37,800 --> 00:08:50,980
+ABعلى I I P P بيساوي P
+
+88
+00:08:50,980 --> 00:09:01,140
+B طبعا ال A B عبارة مسميها C أنا P B زائد C على I
+
+89
+00:09:01,140 --> 00:09:07,300
+B لأن الزاوية theta cotangent اللي هي عكس ال
+
+90
+00:09:07,300 --> 00:09:08,560
+tangent cotangent theta
+
+91
+00:09:13,380 --> 00:09:21,400
+بساوي المجاور بتاعها اللي هو PP PB
+
+92
+00:09:21,400 --> 00:09:24,900
+على
+
+93
+00:09:24,900 --> 00:09:29,060
+IB لأن
+
+94
+00:09:29,060 --> 00:09:40,240
+لو طرحت cot θ من cot φ cot φ minus cot θ هيكون سوى
+
+95
+00:09:40,240 --> 00:09:50,360
+PBزائد c على ip minus pb على ip هيساوي طبعا هيروح
+
+96
+00:09:50,360 --> 00:09:58,060
+pb مع pb هيساوي ال c على ip ساوي ال c ال ip اللي
+
+97
+00:09:58,060 --> 00:10:01,260
+هي عبارة عن المسافة بين المحور الأمام و المحور
+
+98
+00:10:01,260 --> 00:10:06,480
+الخلفي اللي هي b معناته لازم يطلع عندك cotangent
+
+99
+00:10:08,150 --> 00:10:19,570
+Cotf minus cotθ بيساوي C على B هذي بيسموها ال
+
+100
+00:10:19,570 --> 00:10:25,230
+condition for correct steering ايش
+
+101
+00:10:25,230 --> 00:10:26,830
+يعني condition for correct steering
+
+102
+00:10:32,730 --> 00:10:36,770
+مركز الدوران اللحظي للأربع عجلات هو نفس المركز مش
+
+103
+00:10:36,770 --> 00:10:41,730
+أكتر مركز في الحالة هذه بأضمن مايصيرش عندي أي
+
+104
+00:10:41,730 --> 00:10:45,030
+انزلاق سواء انزلاق للعجلات الأمامية أو انزلاق
+
+105
+00:10:45,030 --> 00:10:48,590
+للعجلات الخلفية هذه ال condition of correct
+
+106
+00:10:48,590 --> 00:10:50,790
+steering contingent five minus contingent theta
+
+107
+00:10:50,790 --> 00:11:01,050
+بيساوي C على B طيب
+
+108
+00:11:04,060 --> 00:11:07,100
+تطبيقا طبعا احنا عرفنا ال condition for correct
+
+109
+00:11:07,100 --> 00:11:07,580
+steering
+
+110
+00:11:17,600 --> 00:11:21,940
+طب بما عرفت ان ال condition for correct steering
+
+111
+00:11:21,940 --> 00:11:28,620
+تم تطوير ما يسمى ديفس steering gear اللي هي واحدة
+
+112
+00:11:28,620 --> 00:11:31,920
+اسمها ديفس ديفس steering gear ديفس steering gear
+
+113
+00:11:31,920 --> 00:11:41,220
+هي هذا ال front wheel عند دولاب عند B و
+
+114
+00:11:41,220 --> 00:11:43,380
+دولاب عند D
+
+115
+00:12:13,320 --> 00:12:18,320
+هو عندي ال ال ال wheel and b is allowed to rotate
+
+116
+00:12:18,320 --> 00:12:22,000
+about نقطة a عندي محور دوران
+
+117
+00:12:25,820 --> 00:12:31,180
+و الويل ان دي is allowed to rotate about point C
+
+118
+00:12:31,180 --> 00:12:43,200
+هاد
+
+119
+00:12:43,200 --> 00:12:48,340
+ال link بي ايه هاد كلها ال link واحدة
+
+120
+00:12:56,400 --> 00:13:01,260
+و ال DCH هذه link
+
+121
+00:13:01,260 --> 00:13:05,900
+واحدة
+
+122
+00:13:05,900 --> 00:13:13,960
+و في عندى slider هنا عندى
+
+123
+00:13:13,960 --> 00:13:18,340
+هنا slider و
+
+124
+00:13:18,340 --> 00:13:24,060
+عندى هنا slider pair sliding pairفعندي هنا
+
+125
+00:13:24,060 --> 00:13:29,020
+revolute pair وهنا revolute pair مربوط اللي فيها
+
+126
+00:13:29,020 --> 00:13:38,080
+ال link هاد ال link فعندي هنا sliding pair عند e و
+
+127
+00:13:38,080 --> 00:13:45,360
+sliding pair عند f sliding pair عند e ثابت و عند f
+
+128
+00:13:45,360 --> 00:13:50,420
+ثابت و الرد هدققش
+
+129
+00:13:54,310 --> 00:14:01,910
+G والرد GH مسموح له يتحرك بهذا الاتجاه يعني معناته
+
+130
+00:14:01,910 --> 00:14:07,550
+لو لفت السيارة يمين هتلف كلها هتلف هذا زي هيك هذا
+
+131
+00:14:07,550 --> 00:14:10,710
+هينسحب بهذا الاتجاه لو لفت الشمال هذا هيروح على
+
+132
+00:14:10,710 --> 00:14:11,830
+الشمال
+
+133
+00:14:19,640 --> 00:14:22,740
+هذه الزاوية لما السيارة مشها عدل هذه الزاوية
+
+134
+00:14:22,740 --> 00:14:31,460
+ساميها Alpha هذه الزاوية Alpha
+
+135
+00:14:31,460 --> 00:14:37,040
+معناته هذه ألية و نظرية عمل ال steering في السيارة
+
+136
+00:14:37,040 --> 00:14:41,200
+ال steering في السيارات القديمة طبعا و مطلع
+
+137
+00:14:41,200 --> 00:14:44,820
+السيارات باسمها Davis steering gear mechanism
+
+138
+00:14:44,820 --> 00:14:52,130
+Davis steering gear mechanismالان خلّينا نعمل ال
+
+139
+00:14:52,130 --> 00:14:56,150
+mathematics بتاعها نتأكد ان هي satisfy او ايه
+
+140
+00:14:56,150 --> 00:14:59,930
+satisfy ال correct steering condition يعني cot phi
+
+141
+00:14:59,930 --> 00:15:06,670
+minus cot theta بسوا بي على سي نتطلع
+
+142
+00:15:06,670 --> 00:15:18,090
+على شكل اكتر تفصيلا انا
+
+143
+00:15:18,090 --> 00:15:24,450
+عندى سيارةهذه العجلات الأمامية أو محور العجلات
+
+144
+00:15:24,450 --> 00:15:44,150
+الأمامية هذه عجل وهذه
+
+145
+00:15:44,150 --> 00:15:45,270
+العجلات الخلفية
+
+146
+00:16:04,830 --> 00:16:09,410
+و هاي ال chases للسيارة body بتاع السيارة ال هيكل
+
+147
+00:16:09,410 --> 00:16:13,070
+بتاعها
+
+148
+00:16:13,070 --> 00:16:20,310
+عند
+
+149
+00:16:20,310 --> 00:16:28,870
+pivot عند a عند pivot محور دوران عند نقطة a ومحور
+
+150
+00:16:28,870 --> 00:16:32,110
+دوران عند نقطة b
+
+151
+00:16:40,500 --> 00:16:53,620
+عندي link في عندي link هذه بالعجل جاه زي هيك it
+
+152
+00:16:53,620 --> 00:16:54,580
+can slide
+
+153
+00:17:08,360 --> 00:17:13,320
+كان slide في هذا الاتجاه وعند العجل التاني فيه
+
+154
+00:17:13,320 --> 00:17:19,980
+link وهي محور .. هاي ال link طالعة وفي كمان
+
+155
+00:17:19,980 --> 00:17:24,080
+another block اللي ممكن ال link to slide inside
+
+156
+00:17:24,080 --> 00:17:27,880
+وفي
+
+157
+00:17:27,880 --> 00:17:36,420
+عند الرد الرد اللي
+
+158
+00:17:36,420 --> 00:17:37,500
+هو الرد ال cd
+
+159
+00:17:41,770 --> 00:17:48,730
+CD فى عندى هنا sliding pair sliding
+
+160
+00:17:48,730 --> 00:17:56,070
+pair عند P و Q السيارة
+
+161
+00:17:56,070 --> 00:17:59,970
+ماشية هذه في الأول كانت الزاوية هذه هذه الزاوية
+
+162
+00:17:59,970 --> 00:18:01,970
+Alpha
+
+163
+00:18:13,460 --> 00:18:17,720
+هذه الزاوية Alpha
+
+164
+00:18:17,720 --> 00:18:24,600
+المسافة
+
+165
+00:18:24,600 --> 00:18:32,720
+من C للمحور هذا والسيارة
+
+166
+00:18:32,720 --> 00:18:37,640
+مش عادل D وهذه ستكون أيضا D
+
+167
+00:18:51,220 --> 00:18:55,440
+طيب الان السيارة بدى تلف علي الشمال بدى تعمل دوران
+
+168
+00:18:55,440 --> 00:19:01,080
+علي الشمال معناه إذا هتعمل دوران علي الشمال هيسير
+
+169
+00:19:01,080 --> 00:19:12,920
+العجلات العجلة اللى علي اليمين هيها وهذا
+
+170
+00:19:12,920 --> 00:19:15,500
+ال رد هيمش بهذا الاتجاه هنزلق بهذا الاتجاه
+
+171
+00:19:22,400 --> 00:19:27,120
+هذا سيصبح C' والعجلة
+
+172
+00:19:27,120 --> 00:19:31,120
+B هي
+
+173
+00:19:31,120 --> 00:19:39,160
+العجلة B سألفت لأن هتسحب D هتروح عن D' سيصبح هنا
+
+174
+00:19:39,160 --> 00:19:40,160
+دي D'
+
+175
+00:19:49,790 --> 00:19:54,410
+لأن for correct steering for correct street
+
+176
+00:19:54,410 --> 00:20:02,330
+steering لازم يكون لهم نفس ال instant center for
+
+177
+00:20:02,330 --> 00:20:13,090
+correct steering لازم يكون لهم نفس ال instant نفس
+
+178
+00:20:13,090 --> 00:20:14,050
+ال instant center
+
+179
+00:20:22,960 --> 00:20:28,380
+هذا النقطة I Instant Center هذا
+
+180
+00:20:28,380 --> 00:20:41,100
+النقطة P هذا
+
+181
+00:20:41,100 --> 00:20:44,940
+الزاوية Theta
+
+182
+00:20:44,940 --> 00:20:48,360
+هذا
+
+183
+00:20:48,360 --> 00:20:50,960
+الزاوية Phi
+
+184
+00:21:05,470 --> 00:21:09,330
+طيب، الان هذه ال link كلها بتلف، ال link كان زيك و
+
+185
+00:21:09,330 --> 00:21:13,870
+لفت، لفت نفس الزاوية، معناته هذه الزاوية فاي وهذه
+
+186
+00:21:13,870 --> 00:21:17,050
+هتكون برضه في
+
+187
+00:21:28,890 --> 00:21:33,870
+الان عند هادي ثيتا هتكون الزاوية هادى هادى الزاوية
+
+188
+00:21:33,870 --> 00:21:38,350
+ثيتا
+
+189
+00:21:38,350 --> 00:21:41,390
+طبعا
+
+190
+00:21:41,390 --> 00:21:51,630
+نقطة C اتحركت ل C prime معناه تمشيت مسافة X و
+
+191
+00:21:51,630 --> 00:21:57,640
+النقطة D راحت ل D prime برضه نفس المسافة Xلأن هذا
+
+192
+00:21:57,640 --> 00:22:08,520
+حركته translation motion اتحرك نفس المسافة X لأن
+
+193
+00:22:08,520 --> 00:22:16,760
+لو خلتنا المثلث A A' C' المثلث
+
+194
+00:22:26,400 --> 00:22:32,740
+A A' C'
+
+195
+00:22:33,680 --> 00:22:39,300
+الزاوية
+
+196
+00:22:39,300 --> 00:22:45,120
+الكلية هذه هي عبارة عن Alpha زائد Phi تان Alpha
+
+197
+00:22:45,120 --> 00:22:53,760
+زائد Phi هذا التان الزاوية هذه تان Alpha زائد
+
+198
+00:22:53,760 --> 00:22:59,700
+Phiهيساوي a'
+
+199
+00:23:00,060 --> 00:23:09,020
+c' على
+
+200
+00:23:09,020 --> 00:23:13,020
+a
+
+201
+00:23:13,020 --> 00:23:19,920
+a' طبعا
+
+202
+00:23:19,920 --> 00:23:21,740
+هذه المسافة هسميها a
+
+203
+00:23:25,990 --> 00:23:36,910
+هذه A وهذه C وهذه
+
+204
+00:23:36,910 --> 00:23:38,270
+المسافة B
+
+205
+00:23:51,080 --> 00:23:55,560
+بنحكي هنا الـ alpha زائد five بيسوا a prime c
+
+206
+00:23:55,560 --> 00:24:01,400
+prime على a prime a ال a prime c prime عبارة عن a
+
+207
+00:24:01,400 --> 00:24:16,040
+prime c زائد c c prime بتساوي a prime c زائد
+
+208
+00:24:16,040 --> 00:24:28,360
+c c prime علىالـ A A' هذه عبارة عن A بتساوي
+
+209
+00:24:28,360 --> 00:24:36,800
+لأن ال A' C عبارة عن D و
+
+210
+00:24:36,800 --> 00:24:44,620
+ال CC' عبارة عن X D زائد X على A
+
+211
+00:24:49,520 --> 00:24:54,760
+طيب من القوانين اللي .. اللي هو الـ Geometry Tan
+
+212
+00:24:54,760 --> 00:25:03,920
+Alpha زائد Phi Tan
+
+213
+00:25:03,920 --> 00:25:07,100
+Alpha
+
+214
+00:25:07,100 --> 00:25:17,520
+زائد Phi هيكون ساوي Tan Alpha زائد Tan Phi هدرجة
+
+215
+00:25:17,520 --> 00:25:27,390
+على ال calculusعلى واحد ناقص تان الف في تان في هذه
+
+216
+00:25:27,390 --> 00:25:31,650
+بتساوي D
+
+217
+00:25:31,650 --> 00:25:38,110
+على A D
+
+218
+00:25:38,110 --> 00:25:42,210
+او
+
+219
+00:25:42,210 --> 00:25:46,330
+خليها D زائد X على A
+
+220
+00:25:49,930 --> 00:25:59,470
+طيب لو أخدت المثلث A A' C المثلث A
+
+221
+00:25:59,470 --> 00:26:07,330
+A' C هيطلع عندي تان تان الزوايا الهادي اللي هي
+
+222
+00:26:07,330 --> 00:26:16,830
+Alpha تان Alpha هيكون ساوي A' C على A A'
+
+223
+00:26:20,540 --> 00:26:26,900
+الـ A' C اللي هي بقرا عن D بقرا
+
+224
+00:26:26,900 --> 00:26:33,820
+عن D على A يعني
+
+225
+00:26:33,820 --> 00:26:44,880
+انا حاسين ان عندي ال 10 Alpha زائد Phi حساوي
+
+226
+00:26:44,880 --> 00:26:53,470
+ال 10 Alphaاللي هي D على A زائد
+
+227
+00:26:53,470 --> 00:26:57,450
+Tan Phi على
+
+228
+00:26:57,450 --> 00:27:07,850
+واحد minus ال D على A ال
+
+229
+00:27:07,850 --> 00:27:16,510
+Tan Alpha اللي حكينا اللي هي D على A زائد D على A
+
+230
+00:27:16,510 --> 00:27:28,940
+في Tanالـ Fi بيساوي D زاد X على A لو ضربت ال bus
+
+231
+00:27:28,940 --> 00:27:35,280
+في A و المقام في M، ما بيغيرش، هسير عنده قطب ال
+
+232
+00:27:35,280 --> 00:27:45,520
+bus في A بيسير عند D زاد A tan Fi على A
+
+233
+00:27:48,080 --> 00:28:08,360
+-D tan فاى بساوى D زاد X على A طيب
+
+234
+00:28:08,360 --> 00:28:11,940
+بدى اعمل cross حسيب عند دي A
+
+235
+00:28:16,460 --> 00:28:27,440
+زائد a squared tan phi هتساوي a
+
+236
+00:28:27,440 --> 00:28:30,640
+في
+
+237
+00:28:30,640 --> 00:28:35,600
+d زائد x minus
+
+238
+00:28:35,600 --> 00:28:42,920
+d tan phi في d زائد x
+
+239
+00:28:46,060 --> 00:28:49,380
+لأن هجيب هدى على الجهة التانية هسيب عندي a square
+
+240
+00:28:49,380 --> 00:29:00,360
+و هاخد tan phi على مشترك زائد d في d زائد x في tan
+
+241
+00:29:00,360 --> 00:29:07,040
+phi بالساوية
+
+242
+00:29:07,040 --> 00:29:13,660
+a d زائد a x minus a d
+
+243
+00:29:18,830 --> 00:29:25,990
+هيروح حد مع حد، بقى أنا أتحسن عن دي a squared زائد
+
+244
+00:29:25,990 --> 00:29:34,730
+d squared زائد dx أو مباشرة أحكي أنه tan phi tan
+
+245
+00:29:34,730 --> 00:29:38,870
+phi بتساوي
+
+246
+00:29:38,870 --> 00:29:42,110
+ax
+
+247
+00:29:42,110 --> 00:29:44,930
+على
+
+248
+00:29:48,900 --> 00:30:00,160
+بستوى ax على a² زائد d² زائد d في x هي دي tan فاي
+
+249
+00:30:00,160 --> 00:30:06,580
+معناه تكون tangent فاي هتستوى
+
+250
+00:30:06,580 --> 00:30:16,200
+العكس a تربيع زائد d تربيع زائد dx على ax
+
+251
+00:30:22,470 --> 00:30:27,670
+طيب بنفس المنطقة هنجي على العجل على الشمال هاخد
+
+252
+00:30:27,670 --> 00:30:31,610
+المثلث ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب
+
+253
+00:30:31,610 --> 00:30:32,790
+ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب
+
+254
+00:30:32,790 --> 00:30:37,450
+ب ب ب ب ب ب
+
+255
+00:30:37,450 --> 00:30:39,030
+ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب
+
+256
+00:30:39,030 --> 00:30:41,310
+ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب
+
+257
+00:30:41,310 --> 00:30:42,990
+ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب ب
+
+258
+00:30:49,590 --> 00:30:54,070
+الزاوية الكلية هذه Alpha وهذه زاوية هذه Alpha وهذه
+
+259
+00:30:54,070 --> 00:31:04,510
+Theta معناته تان Alpha ناقص Theta تان Alpha minus
+
+260
+00:31:04,510 --> 00:31:08,570
+Theta Alpha
+
+261
+00:31:08,570 --> 00:31:14,010
+تان Alpha minus
+
+262
+00:31:14,010 --> 00:31:18,110
+Theta هتساوى
+
+263
+00:31:19,760 --> 00:31:38,100
+B' D' B' D' على B B B' B B' الآن B' D' هذا عبارة
+
+264
+00:31:38,100 --> 00:31:43,280
+عن D ناقص X D minus
+
+265
+00:31:43,280 --> 00:31:48,080
+X على B B' اللي هي H A
+
+266
+00:31:54,030 --> 00:32:01,790
+فى نفس الوقت هذه tan alpha هتكون تساوي tan alpha
+
+267
+00:32:01,790 --> 00:32:06,830
+ناقص tan alpha ناقص theta هتكون تساوي tan alpha
+
+268
+00:32:06,830 --> 00:32:20,110
+minus tan theta على واحد زائد tan alpha tan
+
+269
+00:32:20,110 --> 00:32:22,410
+theta
+
+270
+00:32:26,880 --> 00:32:39,680
+طيب ناخد المثلث بي بي برايم دي المثلث او
+
+271
+00:32:39,680 --> 00:32:45,800
+فش داعي الان حد هتساوي الان
+
+272
+00:32:45,800 --> 00:32:50,400
+تان ألف احنا حاكيه انا already حسبنا تان ألف تان
+
+273
+00:32:50,400 --> 00:32:53,020
+ألف اللي هي دي على ايه هتكون دي
+
+274
+00:32:56,400 --> 00:33:04,320
+D minus X على A بصوت 10 Alpha اللي هي D على A D
+
+275
+00:33:04,320 --> 00:33:09,500
+على A Minus
+
+276
+00:33:09,500 --> 00:33:24,820
+10 Theta على واحد زائد D على A 10θ هضرب البصر في a
+
+277
+00:33:24,820 --> 00:33:29,660
+والمقام على a ما بتغيرش ايه هتصير ان دي d minus x
+
+278
+00:33:29,660 --> 00:33:47,180
+على a بالساوية d minus a tan θ على a زائد d tan
+
+279
+00:33:48,630 --> 00:34:02,570
+ثيتا هعمل cross هصير عندي a هصير عندي a d ناقص
+
+280
+00:34:02,570 --> 00:34:11,790
+a تربيع tan ثيتا هيساوي a في d minus x
+
+281
+00:34:17,530 --> 00:34:36,210
+زائد D في D minus X Tan Theta الآن
+
+282
+00:34:36,210 --> 00:34:39,750
+هجيب ال Tan Theta على الجهة التانية هسي لعندي A
+
+283
+00:34:39,750 --> 00:34:43,710
+Square A
+
+284
+00:34:43,710 --> 00:34:44,110
+Square
+
+285
+00:34:47,120 --> 00:34:58,920
+زاد d² minus dx في tan θ أنا
+
+286
+00:34:58,920 --> 00:35:09,960
+جبت هادي هين هتكون السواء ا دي ا دي
+
+287
+00:35:09,960 --> 00:35:14,120
+minus ا
+
+288
+00:35:15,250 --> 00:35:21,730
+فى D minus X يعني
+
+289
+00:35:21,730 --> 00:35:26,550
+عندى هنا A D بتروح مع A D بيضلاش A X معناته tan θ
+
+290
+00:35:26,550 --> 00:35:36,450
+تان ثتا هتساوى tan θ هتساوى
+
+291
+00:35:36,450 --> 00:35:42,050
+A X على
+
+292
+00:35:42,050 --> 00:35:44,190
+A Square
+
+293
+00:35:47,700 --> 00:35:56,620
+على a squared زائد d squared minus dx معناه ال
+
+294
+00:35:56,620 --> 00:36:03,640
+quotient عكسها quotient theta هتساوي
+
+295
+00:36:03,640 --> 00:36:11,500
+a squared زائد d squared minus dx على ax
+
+296
+00:36:15,350 --> 00:36:20,050
+الان خليني امسح و اخلي الشغلات اللي بتهمني حاليا
+
+297
+00:36:20,050 --> 00:36:41,930
+بتهمني هذه المعادلة احنا already هذه عملناها احنا
+
+298
+00:36:41,930 --> 00:36:42,410
+وصلنا
+
+299
+00:36:47,500 --> 00:36:54,900
+ووصلنا ان quotient phi بالساوية
+
+300
+00:36:54,900 --> 00:37:06,320
+a squared زائد d squared زائد dx على ax و quotient
+
+301
+00:37:06,320 --> 00:37:17,350
+theta بالساوية a squaredزي دي سكوير ماينوس دي اكس
+
+302
+00:37:17,350 --> 00:37:25,170
+على اكس هذا الخلاصة وصلنا لها معناته اللي هود احكي
+
+303
+00:37:25,170 --> 00:37:32,410
+contingent فاي ماينوس contingent ثيتا هاخد اكس على
+
+304
+00:37:32,410 --> 00:37:32,970
+مشترك
+
+305
+00:37:35,650 --> 00:37:47,310
+هيكون عندى a² ذات d² ذات dx minus a² ذات d² minus
+
+306
+00:37:47,310 --> 00:37:55,810
+dx هيساوي هيروح a² مع a² وd² مع d² دي اكس بيصير
+
+307
+00:37:55,810 --> 00:38:02,650
+two dx بيساوي two dx على ax يعني بيساوي اتنين
+
+308
+00:38:05,130 --> 00:38:14,230
+على ا اتنين دي على ا ال
+
+309
+00:38:14,230 --> 00:38:18,970
+دي على ا احنا حكينا اللي هي ten alpha يعني هتكون
+
+310
+00:38:18,970 --> 00:38:27,130
+الساوية اتنين ten alpha اللي احنا for correct
+
+311
+00:38:27,130 --> 00:38:31,130
+correct steering
+
+312
+00:38:34,860 --> 00:38:39,800
+لازم يكون عندي التالي لازم يكون عندي cot في minus
+
+313
+00:38:39,800 --> 00:38:45,920
+cot θ تساوي بي
+
+314
+00:38:45,920 --> 00:38:55,960
+على سي بي على سي بي على سي بي على سي عشان ال
+
+315
+00:38:55,960 --> 00:38:59,500
+correct steering يعني كل الأربع عجلات لهم نفس مركز
+
+316
+00:38:59,500 --> 00:39:08,970
+دوران اللحظة اللي هي بتساوياتنين تان ألفة يعني تان
+
+317
+00:39:08,970 --> 00:39:16,750
+ألفة هتسوى بي على اتنين سي
+
+318
+00:39:19,610 --> 00:39:23,110
+يعني to satisfy the condition of correct steering
+
+319
+00:39:23,110 --> 00:39:27,230
+لازم تكون الزاوية Alpha كمتها B على 2C otherwise
+
+320
+00:39:27,230 --> 00:39:31,890
+لازم تكون الزاوية Alpha كمتها B على 2C otherwise
+
+321
+00:39:31,890 --> 00:39:37,370
+لازم تكون الزاوية Alpha كمتها B على 2C otherwise
+
+322
+00:39:37,370 --> 00:39:37,930
+لازم تكون الزاوية Alpha كمتها B على 2C otherwise
+
+323
+00:39:37,930 --> 00:39:38,290
+لازم تكون الزاوية Alpha كمتها B على 2C otherwise
+
+324
+00:39:38,290 --> 00:39:39,110
+لازم تكون الزاوية Alpha كمتها B على 2C otherwise
+
+325
+00:39:39,110 --> 00:39:39,370
+لازم تكون الزاوية Alpha كمتها B على 2C otherwise
+
+326
+00:39:39,370 --> 00:39:41,110
+لازم تكون الزاوية Alpha كمتها B على 2C otherwise
+
+327
+00:39:41,110 --> 00:39:46,090
+لازم تكون الزاوية Alpha كمتها B على 2C otherwise
+
+328
+00:39:46,090 --> 00:39:48,070
+لازم تكون الزاوية Alpha كمتها B على 2C otherwise
+
+329
+00:39:48,070 --> 00:39:48,210
+لازم تكون الزاوية Alpha كمتها
+
+330
+00:39:59,930 --> 00:40:03,750
+طيب زى ما حكينا ال ten alpha بالسواء ال C أو
+
+331
+00:40:03,750 --> 00:40:14,330
+بالسواء اللى هو B فى إشي غلط شكله عندهين D على A
+
+332
+00:40:14,330 --> 00:40:20,930
+اللى هى ten alpha اتنين ten alphaيعني شكله مخربط
+
+333
+00:40:20,930 --> 00:40:25,910
+على اللي هم تان ألف تطلع اللي هي C على اتنين بيه C
+
+334
+00:40:25,910 --> 00:40:32,450
+C على اتنين بيه الان اتبعوا ليه في ايش ان انا
+
+335
+00:40:32,450 --> 00:40:36,350
+اعكسها اتبعوها في الاشتقاقات السابقة تشوف وين في
+
+336
+00:40:36,350 --> 00:40:40,910
+خطأ ما طيب
+
+337
+00:40:40,910 --> 00:40:46,490
+انحل
+
+338
+00:40:46,490 --> 00:40:46,890
+example
+
+339
+00:41:06,790 --> 00:41:09,730
+in a Davis steering gear the distance between the
+
+340
+00:41:09,730 --> 00:41:15,070
+pivots of the front axle in a Davis steering gear
+
+341
+00:41:15,070 --> 00:41:17,630
+the distance between the pivots of the front axle
+
+342
+00:41:17,630 --> 00:41:23,490
+is المسافة هذه مع
+
+343
+00:41:23,490 --> 00:41:27,950
+الطين اللي هي المسافة C المسافة
+
+344
+00:41:27,950 --> 00:41:31,670
+C واحد
+
+345
+00:41:31,670 --> 00:41:40,550
+point اتنين مترand the wheel base اللي هي B سوى
+
+346
+00:41:40,550 --> 00:41:46,510
+اتنين و سبعة و عشرة متر find the inclination of
+
+347
+00:41:46,510 --> 00:41:49,370
+the track arm to the longitudinal axis of the gear
+
+348
+00:41:49,370 --> 00:41:51,650
+when it is moving along a straight line بده الف
+
+349
+00:41:51,650 --> 00:41:58,110
+يعني احنا حكينا ten الف ten
+
+350
+00:41:58,110 --> 00:42:01,870
+الف بالساوة
+
+351
+00:42:01,870 --> 00:42:09,160
+ال Cعلى اتنين بي يعني هتكون ال C عند واحد point
+
+352
+00:42:09,160 --> 00:42:16,780
+اتنين على اتنين في اتنين سبع عشر اق منها بحسب ال
+
+353
+00:42:16,780 --> 00:42:17,060
+alpha
+
+354
+00:42:32,480 --> 00:42:36,060
+لأن في قلية تانية لل steering في السيارة تسمى A
+
+355
+00:42:36,060 --> 00:42:39,200
+-Carman Steering Gear Mechanism A-Carman Steering
+
+356
+00:42:39,200 --> 00:42:42,120
+Gear Mechanism خلينا نشوف و بعدين نطلع الفرق بين
+
+357
+00:42:42,120 --> 00:42:48,820
+التنتين في ال A-Carman Steering Mechanism هذه
+
+358
+00:42:48,820 --> 00:42:57,320
+العجلات الأمامية وهذه العجلات الخلفية عندي هذا هو
+
+359
+00:42:57,320 --> 00:43:01,980
+المحور الأمامي للسيارة وهذا المحور الخلفي للسيارة
+
+360
+00:43:04,460 --> 00:43:07,980
+الان عندي هذه ال link مربوطة في العجل اللي انا بدي
+
+361
+00:43:07,980 --> 00:43:10,660
+ألف على الشمال هذه ال link مربوطة في العجل اللي
+
+362
+00:43:10,660 --> 00:43:12,740
+على اليمين و هذه ال link مربوطة في العجل اللي على
+
+363
+00:43:12,740 --> 00:43:19,100
+الشمال معناته هذه four bar linkage عندي واحد اتنين
+
+364
+00:43:19,100 --> 00:43:24,300
+تلاتة اربعة اول
+
+365
+00:43:24,300 --> 00:43:28,800
+شي في ال a car man steering mechanism ال steering
+
+366
+00:43:28,800 --> 00:43:33,030
+mechanism جاية ورا ال front axleفي الـ Devastating
+
+367
+00:43:33,030 --> 00:43:37,410
+Mechanism جايلستيري ميكانيزم أمام الـ front axle
+
+368
+00:43:37,410 --> 00:43:42,450
+هاي رقم واحد رقم اتنين ال Acerman في ال .. في ال
+
+369
+00:43:42,450 --> 00:43:45,810
+.. في ال Devastating Mechanism في عندي sliding
+
+370
+00:43:45,810 --> 00:43:50,410
+pairs في ال Acerman مافيش عندي اي sliding pair كله
+
+371
+00:43:50,410 --> 00:43:53,910
+revolute هاي واحد revolute .. revolute .. revolute
+
+372
+00:43:53,910 --> 00:43:57,830
+.. revolute طبعا ال revolute اللي تعامل معاها أسل
+
+373
+00:43:57,830 --> 00:44:05,210
+و مشاكلها أقلبس مش هتكون exact .. exact .. مش
+
+374
+00:44:05,210 --> 00:44:11,310
+هتكون exact .. مش هتحقق ال condition for correct
+
+375
+00:44:11,310 --> 00:44:14,330
+steering مية في المية هتكون very close لل correct
+
+376
+00:44:14,330 --> 00:44:20,790
+steering mechanism إذا حد معنى التفاصيل أكتر ممكن
+
+377
+00:44:20,790 --> 00:44:23,710
+ترجع لل YouTube أو ال net هتريه تفاصيل كتير
+
+378
+00:44:23,710 --> 00:44:27,630
+للحسابات طبعا هد ببساطة هد four partfor bar
+
+379
+00:44:27,630 --> 00:44:33,230
+mechanism ممكن اعتبر هذه الزاوية فاي وهذه الزاوية
+
+380
+00:44:33,230 --> 00:44:39,330
+ثيتا كل حاجة بتعمل mathematics تاعتها بيحس ان
+
+381
+00:44:39,330 --> 00:44:44,330
+كتوجد ال condition for correct steering ان ال
+
+382
+00:44:44,330 --> 00:44:47,810
+instance center rotation للاربع عجلات لازم يكون
+
+383
+00:44:47,810 --> 00:44:50,810
+نفس الاسم مانفعش بس ان الأربع عجلات هاد يكون هنا
+
+384
+00:44:50,810 --> 00:44:55,470
+يكون هنا وهذا هنا بيصير انزلاق للعجلات
+
+385
+00:44:59,950 --> 00:45:04,310
+طيب ال .. ال .. ال .. الان ننهي المحاضرة و
+
+386
+00:45:04,310 --> 00:45:06,470
+المحاضرة جاي بنحكي على موضوع جديد اللي هو
+
+387
+00:45:06,470 --> 00:45:11,890
+universal or hoax joint اعطيكوا
+
+388
+00:45:11,890 --> 00:45:12,250
+العافية
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/CNA7zsGkQA4_raw.json b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/CNA7zsGkQA4_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..018f62f79ed4bd38965da4f2ad239c63f4568f39
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/CNA7zsGkQA4_raw.json
@@ -0,0 +1 @@
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minus", "probability": 0.28955078125}, {"start": 610.35, "end": 612.55, "word": " cotθ", "probability": 0.5986328125}, {"start": 612.55, "end": 614.13, "word": " بيساوي", "probability": 0.620166015625}, {"start": 614.13, "end": 614.81, "word": " C", "probability": 0.68310546875}, {"start": 614.81, "end": 615.21, "word": " على", "probability": 0.6357421875}, {"start": 615.21, "end": 615.83, "word": " B", "probability": 0.8916015625}, {"start": 615.83, "end": 618.57, "word": " هذي", "probability": 0.5176595052083334}, {"start": 618.57, "end": 619.27, "word": " بيسموها", "probability": 0.98359375}, {"start": 619.27, "end": 619.57, "word": " ال", "probability": 0.73681640625}, {"start": 619.57, "end": 619.99, "word": " condition", "probability": 0.93896484375}, {"start": 619.99, "end": 620.53, "word": " for", "probability": 0.9052734375}, {"start": 620.53, "end": 621.07, "word": " correct", "probability": 0.93994140625}, {"start": 621.07, "end": 621.63, "word": " steering", "probability": 0.95068359375}, {"start": 621.63, "end": 625.23, "word": " ايش", "probability": 0.6423543294270834}, {"start": 625.23, "end": 625.37, "word": " يعني", "probability": 0.896484375}, {"start": 625.37, "end": 625.71, "word": " condition", "probability": 0.48876953125}, {"start": 625.71, "end": 625.95, "word": " for", "probability": 0.66259765625}, {"start": 625.95, "end": 626.33, "word": " correct", "probability": 0.951171875}, {"start": 626.33, "end": 626.83, "word": " steering", "probability": 0.9541015625}], "temperature": 1.0}, {"id": 23, "seek": 66105, "start": 632.73, "end": 661.05, "text": "مركز الدوران اللحظي للأربع عجلات هو نفس المركز مش أكتر مركز في الحالة هذه بأضمن مايصيرش عندي أي انزلاق سواء انزلاق للعجلات الأمامية أو انزلاق للعجلات الخلفية هذه ال condition of correct steering contingent five minus contingent theta بيساوي C على B طيب", "tokens": [29973, 4117, 11622, 32748, 13063, 7649, 13672, 5016, 19913, 1829, 24976, 10721, 25513, 3615, 6225, 7435, 1211, 9307, 31439, 8717, 36178, 9673, 31747, 11622, 37893, 5551, 4117, 2655, 2288, 3714, 31747, 11622, 8978, 21542, 6027, 3660, 29538, 4724, 10721, 11242, 27842, 19446, 1829, 9381, 13546, 8592, 18871, 16254, 36632, 16472, 11622, 15040, 4587, 8608, 2407, 16606, 16472, 11622, 15040, 4587, 24976, 3615, 7435, 1211, 9307, 16247, 2304, 10943, 10632, 34051, 16472, 11622, 15040, 4587, 24976, 3615, 7435, 1211, 9307, 33962, 46538, 10632, 29538, 2423, 4188, 295, 3006, 14823, 27820, 317, 1732, 3175, 27820, 317, 9725, 4724, 1829, 3794, 995, 45865, 383, 15844, 363, 23032, 1829, 3555], "avg_logprob": -0.16501168447120168, "compression_ratio": 1.7167381974248928, "no_speech_prob": 0.0, "words": [{"start": 632.73, "end": 633.35, "word": "مركز", "probability": 0.9150390625}, {"start": 633.35, "end": 633.83, "word": " الدوران", "probability": 0.8946940104166666}, {"start": 633.83, "end": 634.25, "word": " اللحظي", "probability": 0.8890380859375}, {"start": 634.25, "end": 634.81, "word": " للأربع", "probability": 0.7044677734375}, {"start": 634.81, "end": 635.41, "word": " عجلات", "probability": 0.9769287109375}, {"start": 635.41, "end": 635.65, "word": " هو", "probability": 0.91064453125}, {"start": 635.65, "end": 635.91, "word": " نفس", "probability": 0.990966796875}, {"start": 635.91, "end": 636.49, "word": " المركز", "probability": 0.9754231770833334}, {"start": 636.49, "end": 636.77, "word": " مش", "probability": 0.405029296875}, {"start": 636.77, "end": 637.05, "word": " أكتر", "probability": 0.9281005859375}, {"start": 637.05, "end": 637.59, "word": " مركز", "probability": 0.9680989583333334}, {"start": 637.59, "end": 638.61, "word": " في", "probability": 0.8466796875}, {"start": 638.61, "end": 639.01, "word": " الحالة", "probability": 0.9801432291666666}, {"start": 639.01, "end": 639.27, "word": " هذه", "probability": 0.796875}, {"start": 639.27, "end": 639.91, "word": " بأضمن", "probability": 0.8695068359375}, {"start": 639.91, "end": 640.59, "word": " مايصيرش", "probability": 0.9111328125}, {"start": 640.59, "end": 640.99, "word": " عندي", "probability": 0.8291015625}, {"start": 640.99, "end": 641.73, "word": " أي", "probability": 0.71240234375}, {"start": 641.73, "end": 642.65, "word": " انزلاق", "probability": 0.8626708984375}, {"start": 642.65, "end": 643.13, "word": " سواء", "probability": 0.95263671875}, {"start": 643.13, "end": 643.53, "word": " انزلاق", "probability": 0.9271240234375}, {"start": 643.53, "end": 644.01, "word": " للعجلات", "probability": 0.9583984375}, {"start": 644.01, "end": 644.49, "word": " الأمامية", "probability": 0.9302978515625}, {"start": 644.49, "end": 644.65, "word": " أو", "probability": 0.818359375}, {"start": 644.65, "end": 645.03, "word": " انزلاق", "probability": 0.938720703125}, {"start": 645.03, "end": 645.81, "word": " للعجلات", "probability": 0.9796875}, {"start": 645.81, "end": 646.59, "word": " الخلفية", "probability": 0.8623046875}, {"start": 646.59, "end": 646.85, "word": " هذه", "probability": 0.84130859375}, {"start": 646.85, "end": 647.01, "word": " ال", "probability": 0.64306640625}, {"start": 647.01, "end": 647.41, "word": " condition", "probability": 0.91064453125}, {"start": 647.41, "end": 648.11, "word": " of", "probability": 0.96826171875}, {"start": 648.11, "end": 648.59, "word": " correct", "probability": 0.91552734375}, {"start": 648.59, "end": 649.13, "word": " steering", "probability": 0.94921875}, {"start": 649.13, "end": 649.59, "word": " contingent", "probability": 0.5863037109375}, {"start": 649.59, "end": 649.85, "word": " five", "probability": 0.2269287109375}, {"start": 649.85, "end": 650.07, "word": " minus", "probability": 0.6640625}, {"start": 650.07, "end": 650.51, "word": " contingent", "probability": 0.904296875}, {"start": 650.51, "end": 650.79, "word": " theta", "probability": 0.54345703125}, {"start": 650.79, "end": 651.21, "word": " بيساوي", "probability": 0.743359375}, {"start": 651.21, "end": 651.47, "word": " C", "probability": 0.425048828125}, {"start": 651.47, "end": 651.67, "word": " على", "probability": 0.72607421875}, {"start": 651.67, "end": 652.09, "word": " B", "probability": 0.794921875}, {"start": 652.09, "end": 661.05, "word": " طيب", "probability": 0.9466145833333334}], "temperature": 1.0}, {"id": 24, "seek": 66758, "start": 664.06, "end": 667.58, "text": "تطبيقا طبعا احنا عرفنا ال condition for correct steering", "tokens": [2655, 9566, 21292, 4587, 995, 23032, 3555, 3615, 995, 1975, 5016, 8315, 6225, 28480, 8315, 2423, 4188, 337, 3006, 14823], "avg_logprob": -0.14750744615282332, "compression_ratio": 1.0266666666666666, "no_speech_prob": 0.0, "words": [{"start": 664.06, "end": 664.82, "word": "تطبيقا", "probability": 0.811962890625}, {"start": 664.82, "end": 665.38, "word": " طبعا", "probability": 0.85028076171875}, {"start": 665.38, "end": 665.54, "word": " احنا", "probability": 0.9173177083333334}, {"start": 665.54, "end": 665.9, "word": " عرفنا", "probability": 0.9796549479166666}, {"start": 665.9, "end": 665.98, "word": " ال", "probability": 0.86474609375}, {"start": 665.98, "end": 666.38, "word": " condition", "probability": 0.9306640625}, {"start": 666.38, "end": 666.7, "word": " for", "probability": 0.93701171875}, {"start": 666.7, "end": 667.1, "word": " correct", "probability": 0.939453125}, {"start": 667.1, "end": 667.58, "word": " steering", "probability": 0.96826171875}], "temperature": 1.0}, {"id": 25, "seek": 70338, "start": 677.6, "end": 703.38, "text": "طب بما عرفت ان ال condition for correct steering تم تطوير ما يسمى ديفس steering gear اللي هي واحدة اسمها ديفس ديفس steering gear ديفس steering gear هي هذا ال front wheel عند دولاب عند B و دولاب عند D", "tokens": [9566, 3555, 4724, 15042, 6225, 28480, 2655, 16472, 2423, 4188, 337, 3006, 14823, 46811, 6055, 9566, 2407, 13546, 19446, 7251, 38251, 7578, 11778, 33911, 3794, 14823, 7394, 13672, 1829, 39896, 36764, 24401, 3660, 24525, 2304, 11296, 11778, 33911, 3794, 11778, 33911, 3794, 14823, 7394, 11778, 33911, 3794, 14823, 7394, 39896, 23758, 2423, 1868, 5589, 43242, 11778, 12610, 16758, 43242, 363, 4032, 11778, 12610, 16758, 43242, 413], "avg_logprob": -0.24277051838476266, "compression_ratio": 1.6904761904761905, "no_speech_prob": 0.0, "words": [{"start": 677.6, "end": 677.9, "word": "طب", "probability": 0.76416015625}, {"start": 677.9, "end": 678.72, "word": " بما", "probability": 0.5689697265625}, {"start": 678.72, "end": 678.94, "word": " عرفت", "probability": 0.9500325520833334}, {"start": 678.94, "end": 679.04, "word": " ان", "probability": 0.7890625}, {"start": 679.04, "end": 679.18, "word": " ال", "probability": 0.87646484375}, {"start": 679.18, "end": 679.74, "word": " condition", "probability": 0.951171875}, {"start": 679.74, "end": 680.8, "word": " for", "probability": 0.935546875}, {"start": 680.8, "end": 681.3, "word": " correct", "probability": 0.94091796875}, {"start": 681.3, "end": 681.94, "word": " steering", "probability": 0.95166015625}, {"start": 681.94, "end": 683.26, "word": " تم", "probability": 0.9794921875}, {"start": 683.26, "end": 683.76, "word": " تطوير", "probability": 0.9766845703125}, {"start": 683.76, "end": 683.88, "word": " ما", "probability": 0.9716796875}, {"start": 683.88, "end": 684.3, "word": " يسمى", "probability": 0.9876302083333334}, {"start": 684.3, "end": 685.22, "word": " ديفس", "probability": 0.492431640625}, {"start": 685.22, "end": 685.68, "word": " steering", "probability": 0.560546875}, {"start": 685.68, "end": 686.04, "word": " gear", "probability": 0.95654296875}, {"start": 686.04, "end": 686.74, "word": " اللي", "probability": 0.598388671875}, {"start": 686.74, "end": 687.02, "word": " هي", "probability": 0.60693359375}, {"start": 687.02, "end": 688.62, "word": " واحدة", "probability": 0.7202962239583334}, {"start": 688.62, "end": 688.78, "word": " اسمها", "probability": 0.82568359375}, {"start": 688.78, "end": 689.06, "word": " ديفس", "probability": 0.90771484375}, {"start": 689.06, "end": 689.48, "word": " ديفس", "probability": 0.8972981770833334}, {"start": 689.48, "end": 690.02, "word": " steering", "probability": 0.77880859375}, {"start": 690.02, "end": 690.62, "word": " gear", "probability": 0.9365234375}, {"start": 690.62, "end": 691.54, "word": " ديفس", "probability": 0.93505859375}, {"start": 691.54, "end": 691.76, "word": " steering", "probability": 0.85693359375}, {"start": 691.76, "end": 691.92, "word": " gear", "probability": 0.91015625}, {"start": 691.92, "end": 692.04, "word": " هي", "probability": 0.62939453125}, {"start": 692.04, "end": 692.24, "word": " هذا", "probability": 0.72998046875}, {"start": 692.24, "end": 692.44, "word": " ال", "probability": 0.95068359375}, {"start": 692.44, "end": 692.88, "word": " front", "probability": 0.95947265625}, {"start": 692.88, "end": 693.44, "word": " wheel", "probability": 0.90625}, {"start": 693.44, "end": 694.48, "word": " عند", "probability": 0.71533203125}, {"start": 694.48, "end": 695.5, "word": " دولاب", "probability": 0.75341796875}, {"start": 695.5, "end": 696.28, "word": " عند", "probability": 0.364013671875}, {"start": 696.28, "end": 696.66, "word": " B", "probability": 0.5732421875}, {"start": 696.66, "end": 701.22, "word": " و", "probability": 0.85009765625}, {"start": 701.22, "end": 701.74, "word": " دولاب", "probability": 0.9083658854166666}, {"start": 701.74, "end": 703.0, "word": " عند", "probability": 0.7158203125}, {"start": 703.0, "end": 703.38, "word": " D", "probability": 0.66748046875}], "temperature": 1.0}, {"id": 26, "seek": 74200, "start": 733.32, "end": 742.0, "text": "هو عندي ال ال ال wheel and b is allowed to rotate about نقطة a عندي محور دوران", "tokens": [3224, 2407, 18871, 16254, 2423, 2423, 2423, 5589, 293, 272, 307, 4350, 281, 13121, 466, 8717, 47432, 3660, 257, 18871, 16254, 3714, 5016, 13063, 11778, 13063, 7649], "avg_logprob": -0.29073661885091234, "compression_ratio": 1.1382978723404256, "no_speech_prob": 0.0, "words": [{"start": 733.32, "end": 734.1, "word": "هو", "probability": 0.6351318359375}, {"start": 734.1, "end": 734.44, "word": " عندي", "probability": 0.763671875}, {"start": 734.44, "end": 735.04, "word": " ال", "probability": 0.96484375}, {"start": 735.04, "end": 735.3, "word": " ال", "probability": 0.37646484375}, {"start": 735.3, "end": 735.64, "word": " ال", "probability": 0.82470703125}, {"start": 735.64, "end": 735.84, "word": " wheel", "probability": 0.60595703125}, {"start": 735.84, "end": 736.06, "word": " and", "probability": 0.8310546875}, {"start": 736.06, "end": 736.46, "word": " b", "probability": 0.32861328125}, {"start": 736.46, "end": 737.42, "word": " is", "probability": 0.89404296875}, {"start": 737.42, "end": 737.72, "word": " allowed", "probability": 0.8974609375}, {"start": 737.72, "end": 737.94, "word": " to", "probability": 0.95361328125}, {"start": 737.94, "end": 738.32, "word": " rotate", "probability": 0.94921875}, {"start": 738.32, "end": 739.0, "word": " about", "probability": 0.8857421875}, {"start": 739.0, "end": 740.0, "word": " نقطة", "probability": 0.96533203125}, {"start": 740.0, "end": 740.34, "word": " a", "probability": 0.63134765625}, {"start": 740.34, "end": 740.9, "word": " عندي", "probability": 0.837890625}, {"start": 740.9, "end": 741.4, "word": " محور", "probability": 0.750732421875}, {"start": 741.4, "end": 742.0, "word": " دوران", "probability": 0.84912109375}], "temperature": 1.0}, {"id": 27, "seek": 76834, "start": 745.82, "end": 768.34, "text": "و الويل ان دي is allowed to rotate about point C هاد ال link بي ايه هاد كلها ال link واحدة", "tokens": [2407, 2423, 2407, 26895, 16472, 11778, 1829, 307, 4350, 281, 13121, 466, 935, 383, 8032, 18513, 2423, 2113, 4724, 1829, 1975, 1829, 3224, 8032, 18513, 28242, 11296, 2423, 2113, 36764, 24401, 3660], "avg_logprob": -0.3222064393939394, "compression_ratio": 1.169811320754717, "no_speech_prob": 0.0, "words": [{"start": 745.82, "end": 746.08, "word": "و", "probability": 0.9287109375}, {"start": 746.08, "end": 746.42, "word": " الويل", "probability": 0.633056640625}, {"start": 746.42, "end": 746.6, "word": " ان", "probability": 0.4404296875}, {"start": 746.6, "end": 746.86, "word": " دي", "probability": 0.940673828125}, {"start": 746.86, "end": 747.08, "word": " is", "probability": 0.546875}, {"start": 747.08, "end": 747.4, "word": " allowed", "probability": 0.91552734375}, {"start": 747.4, "end": 747.58, "word": " to", "probability": 0.97705078125}, {"start": 747.58, "end": 747.96, "word": " rotate", "probability": 0.9599609375}, {"start": 747.96, "end": 748.5, "word": " about", "probability": 0.892578125}, {"start": 748.5, "end": 750.68, "word": " point", "probability": 0.9326171875}, {"start": 750.68, "end": 751.18, "word": " C", "probability": 0.7802734375}, {"start": 751.18, "end": 763.2, "word": " هاد", "probability": 0.3519287109375}, {"start": 763.2, "end": 763.32, "word": " ال", "probability": 0.9521484375}, {"start": 763.32, "end": 763.6, "word": " link", "probability": 0.96826171875}, {"start": 763.6, "end": 765.36, "word": " بي", "probability": 0.5975341796875}, {"start": 765.36, "end": 766.24, "word": " ايه", "probability": 0.7747395833333334}, {"start": 766.24, "end": 767.02, "word": " هاد", "probability": 0.5400390625}, {"start": 767.02, "end": 767.34, "word": " كلها", "probability": 0.97216796875}, {"start": 767.34, "end": 767.46, "word": " ال", "probability": 0.5341796875}, {"start": 767.46, "end": 767.76, "word": " link", "probability": 0.9794921875}, {"start": 767.76, "end": 768.34, "word": " واحدة", "probability": 0.9737955729166666}], "temperature": 1.0}, {"id": 28, "seek": 80118, "start": 776.4, "end": 801.18, "text": "و ال DCH هذه link واحدة و في عندى slider هنا عندى هنا slider و عندى هنا slider pair sliding pair", "tokens": [2407, 2423, 9114, 39, 29538, 2113, 36764, 24401, 3660, 4032, 8978, 43242, 7578, 26046, 34105, 43242, 7578, 34105, 26046, 4032, 43242, 7578, 34105, 26046, 6119, 21169, 6119], "avg_logprob": -0.3016183025070599, "compression_ratio": 1.434782608695652, 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" هود", "probability": 0.4578857421875}, {"start": 2244.87, "end": 2245.17, "word": " احكي", "probability": 0.8779296875}, {"start": 2245.17, "end": 2245.71, "word": " contingent", "probability": 0.58001708984375}, {"start": 2245.71, "end": 2246.15, "word": " فاي", "probability": 0.4405517578125}, {"start": 2246.15, "end": 2248.43, "word": " ماينوس", "probability": 0.84375}, {"start": 2248.43, "end": 2249.31, "word": " contingent", "probability": 0.831787109375}, {"start": 2249.31, "end": 2250.39, "word": " ثيتا", "probability": 0.7635091145833334}, {"start": 2250.39, "end": 2251.71, "word": " هاخد", "probability": 0.9353841145833334}, {"start": 2251.71, "end": 2252.27, "word": " اكس", "probability": 0.8758138020833334}, {"start": 2252.27, "end": 2252.41, "word": " على", "probability": 0.6865234375}, {"start": 2252.41, "end": 2252.97, "word": " مشترك", "probability": 0.9142252604166666}], "temperature": 1.0}, {"id": 77, "seek": 228265, "start": 2255.65, "end": 2282.65, "text": "هيكون عندى a² ذات d² ذات dx minus a² ذات d² minus dx هيساوي هيروح a² مع a² وd² مع d² دي اكس بيصير two dx بيساوي two dx على ax يعني بيساوي اتنين", "tokens": [3224, 1829, 30544, 43242, 7578, 257, 27643, 29910, 9307, 274, 27643, 29910, 9307, 30017, 3175, 257, 27643, 29910, 9307, 274, 27643, 3175, 30017, 39896, 3794, 995, 45865, 39896, 32887, 5016, 257, 27643, 20449, 257, 27643, 4032, 67, 27643, 20449, 274, 27643, 11778, 1829, 1975, 4117, 3794, 4724, 1829, 9381, 13546, 732, 30017, 4724, 1829, 3794, 995, 45865, 732, 30017, 15844, 6360, 37495, 22653, 4724, 1829, 3794, 995, 45865, 1975, 2655, 1863, 9957], "avg_logprob": -0.367294530345969, "compression_ratio": 1.6343283582089552, "no_speech_prob": 0.0, "words": [{"start": 2255.65, "end": 2256.11, "word": "هيكون", "probability": 0.6561686197916666}, {"start": 2256.11, "end": 2257.33, "word": " عندى", "probability": 0.584228515625}, {"start": 2257.33, "end": 2258.09, "word": " a²", "probability": 0.384765625}, {"start": 2258.09, "end": 2259.25, 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اتنين سي", "tokens": [9307, 1863, 9957, 6055, 7649, 5551, 46538, 3660, 37495, 22653, 6055, 7649, 5551, 46538, 3660, 8032, 2655, 3794, 2407, 7578, 4724, 1829, 15844, 1975, 2655, 1863, 9957, 8608, 1829], "avg_logprob": -0.271875, "compression_ratio": 1.3636363636363635, "no_speech_prob": 0.0, "words": [{"start": 2343.21, "end": 2344.01, "word": "اتنين", "probability": 0.7051188151041666}, {"start": 2344.01, "end": 2345.47, "word": " تان", "probability": 0.835693359375}, {"start": 2345.47, "end": 2347.45, "word": " ألفة", "probability": 0.8011067708333334}, {"start": 2347.45, "end": 2348.55, "word": " يعني", "probability": 0.5970458984375}, {"start": 2348.55, "end": 2348.97, "word": " تان", "probability": 0.908203125}, {"start": 2348.97, "end": 2351.03, "word": " ألفة", "probability": 0.9747721354166666}, {"start": 2351.03, "end": 2352.73, "word": " هتسوى", "probability": 0.73623046875}, {"start": 2352.73, "end": 2353.89, "word": " بي", "probability": 0.8681640625}, {"start": 2353.89, 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0.9544677734375}, {"start": 2664.47, "end": 2664.69, "word": " هد", "probability": 0.4627685546875}, {"start": 2664.69, "end": 2665.71, "word": " ببساطة", "probability": 0.9611328125}, {"start": 2665.71, "end": 2665.91, "word": " هد", "probability": 0.7156982421875}, {"start": 2665.91, "end": 2666.23, "word": " four", "probability": 0.869140625}, {"start": 2666.23, "end": 2666.53, "word": " part", "probability": 0.44384765625}], "temperature": 1.0}, {"id": 91, "seek": 269547, "start": 2667.09, "end": 2695.47, "text": "for bar mechanism ممكن اعتبر هذه الزاوية فاي وهذه الزاوية ثيتا كل حاجة بتعمل mathematics تاعتها بيحس ان كتوجد ال condition for correct steering ان ال instance center rotation للاربع عجلات لازم يكون نفس الاسم مانفعش بس ان الأربع عجلات هاد يكون هنا يكون هنا وهذا هنا بيصير انزلاق للعجلات", "tokens": [2994, 2159, 7513, 3714, 43020, 1975, 34268, 26890, 29538, 6024, 110, 995, 2407, 10632, 6156, 47302, 37037, 24192, 6024, 110, 995, 2407, 10632, 38637, 36081, 995, 28242, 11331, 26108, 3660, 39894, 25957, 1211, 5221, 37541, 6055, 995, 34268, 11296, 4724, 1829, 5016, 3794, 16472, 9122, 2655, 29245, 3215, 2423, 4188, 337, 3006, 14823, 16472, 2423, 5197, 3056, 12447, 24976, 9640, 3555, 3615, 6225, 7435, 1211, 9307, 5296, 31377, 2304, 7251, 30544, 8717, 36178, 2423, 32277, 2304, 3714, 7649, 5172, 3615, 8592, 4724, 3794, 16472, 16247, 25513, 3615, 6225, 7435, 1211, 9307, 8032, 18513, 7251, 30544, 34105, 7251, 30544, 34105, 37037, 15730, 34105, 4724, 1829, 9381, 13546, 16472, 11622, 15040, 4587, 24976, 3615, 7435, 1211, 9307], "avg_logprob": -0.2724946187487964, "compression_ratio": 1.7559055118110236, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2667.09, "end": 2667.35, "word": "for", "probability": 0.1356201171875}, {"start": 2667.35, "end": 2667.63, "word": " bar", "probability": 0.86767578125}, {"start": 2667.63, "end": 2668.15, "word": " mechanism", "probability": 0.853515625}, {"start": 2668.15, "end": 2668.93, "word": " ممكن", "probability": 0.865234375}, {"start": 2668.93, "end": 2669.29, "word": " اعتبر", "probability": 0.90771484375}, {"start": 2669.29, "end": 2669.49, "word": " هذه", "probability": 0.69140625}, {"start": 2669.49, "end": 2669.99, "word": " الزاوية", "probability": 0.9587890625}, {"start": 2669.99, "end": 2671.25, "word": " فاي", "probability": 0.474609375}, {"start": 2671.25, "end": 2672.71, "word": " وهذه", "probability": 0.826904296875}, {"start": 2672.71, "end": 2673.23, "word": " الزاوية", "probability": 0.98154296875}, {"start": 2673.23, "end": 2675.59, "word": " ثيتا", "probability": 0.75341796875}, {"start": 2675.59, "end": 2677.09, "word": " كل", "probability": 0.505859375}, {"start": 2677.09, "end": 2677.35, "word": " حاجة", "probability": 0.9287109375}, {"start": 2677.35, "end": 2677.65, "word": " بتعمل", "probability": 0.7501627604166666}, {"start": 2677.65, "end": 2678.25, "word": " mathematics", "probability": 0.45416259765625}, {"start": 2678.25, "end": 2678.71, "word": " تاعتها", "probability": 0.684326171875}, {"start": 2678.71, "end": 2679.13, "word": " بيحس", "probability": 0.9466552734375}, {"start": 2679.13, "end": 2679.33, "word": " ان", "probability": 0.7548828125}, {"start": 2679.33, "end": 2679.67, "word": " كتوجد", "probability": 0.54852294921875}, {"start": 2679.67, "end": 2679.97, "word": " ال", "probability": 0.52392578125}, {"start": 2679.97, "end": 2680.45, "word": " condition", "probability": 0.91943359375}, {"start": 2680.45, "end": 2680.75, "word": " for", "probability": 0.943359375}, {"start": 2680.75, "end": 2681.19, "word": " correct", "probability": 0.91357421875}, {"start": 2681.19, "end": 2682.05, "word": " steering", "probability": 0.896484375}, {"start": 2682.05, "end": 2683.09, "word": " ان", "probability": 0.78125}, {"start": 2683.09, "end": 2684.33, "word": " ال", "probability": 0.68896484375}, {"start": 2684.33, "end": 2685.39, "word": " instance", "probability": 0.6201171875}, {"start": 2685.39, "end": 2685.81, "word": " center", "probability": 0.468017578125}, {"start": 2685.81, "end": 2686.41, "word": " rotation", "probability": 0.90966796875}, {"start": 2686.41, "end": 2687.09, "word": " للاربع", "probability": 0.796630859375}, {"start": 2687.09, "end": 2687.39, "word": " عجلات", "probability": 0.92431640625}, {"start": 2687.39, "end": 2687.61, "word": " لازم", "probability": 0.8087565104166666}, {"start": 2687.61, "end": 2687.81, "word": " يكون", "probability": 0.94970703125}, {"start": 2687.81, "end": 2688.07, "word": " نفس", "probability": 0.992919921875}, {"start": 2688.07, "end": 2688.33, "word": " الاسم", "probability": 0.8136393229166666}, {"start": 2688.33, "end": 2688.83, "word": " مانفعش", "probability": 0.74990234375}, {"start": 2688.83, "end": 2689.05, "word": " بس", "probability": 0.799072265625}, {"start": 2689.05, "end": 2689.17, "word": " ان", "probability": 0.7939453125}, {"start": 2689.17, "end": 2689.53, "word": " الأربع", "probability": 0.8274739583333334}, {"start": 2689.53, "end": 2689.87, "word": " عجلات", "probability": 0.9903564453125}, {"start": 2689.87, "end": 2690.07, "word": " هاد", "probability": 0.273681640625}, {"start": 2690.07, "end": 2690.39, "word": " يكون", "probability": 0.879150390625}, {"start": 2690.39, "end": 2690.81, "word": " هنا", "probability": 0.7431640625}, {"start": 2690.81, "end": 2691.81, "word": " يكون", "probability": 0.7069091796875}, {"start": 2691.81, "end": 2692.09, "word": " هنا", "probability": 0.9833984375}, {"start": 2692.09, "end": 2692.49, "word": " وهذا", "probability": 0.66357421875}, {"start": 2692.49, "end": 2692.79, "word": " هنا", "probability": 0.97607421875}, {"start": 2692.79, "end": 2693.69, "word": " بيصير", "probability": 0.8819580078125}, {"start": 2693.69, "end": 2694.49, "word": " انزلاق", "probability": 0.8544921875}, {"start": 2694.49, "end": 2695.47, "word": " للعجلات", "probability": 0.95185546875}], "temperature": 1.0}, {"id": 92, "seek": 271225, "start": 2699.95, "end": 2712.25, "text": "طيب ال .. ال .. ال .. الان ننهي المحاضرة و المحاضرة جاي بنحكي على موضوع جديد اللي هو universal or hoax joint اعطيكوا العافية", "tokens": [9566, 1829, 3555, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 7649, 8717, 1863, 3224, 1829, 9673, 5016, 46958, 25720, 4032, 9673, 5016, 46958, 25720, 10874, 47302, 44945, 5016, 4117, 1829, 15844, 3714, 2407, 11242, 45367, 10874, 16254, 3215, 13672, 1829, 31439, 11455, 420, 1106, 2797, 7225, 1975, 3615, 9566, 1829, 4117, 14407, 18863, 31845, 10632], "avg_logprob": -0.19642857435558522, "compression_ratio": 1.4452554744525548, "no_speech_prob": 0.0, "words": [{"start": 2699.95, "end": 2700.63, "word": "طيب", "probability": 0.986328125}, {"start": 2700.63, "end": 2701.25, "word": " ال", "probability": 0.380859375}, {"start": 2701.25, "end": 2701.25, "word": " ..", "probability": 0.94287109375}, {"start": 2701.25, "end": 2701.95, "word": " ال", "probability": 0.97802734375}, {"start": 2701.95, "end": 2702.15, "word": " ..", "probability": 0.98828125}, {"start": 2702.15, "end": 2702.47, "word": " ال", "probability": 0.8466796875}, {"start": 2702.47, "end": 2702.51, "word": " ..", "probability": 0.80029296875}, {"start": 2702.51, "end": 2702.67, "word": " الان", "probability": 0.567626953125}, {"start": 2702.67, "end": 2703.05, "word": " ننهي", "probability": 0.9732666015625}, {"start": 2703.05, "end": 2703.81, "word": " المحاضرة", "probability": 0.9873046875}, {"start": 2703.81, "end": 2704.31, "word": " و", "probability": 0.59375}, {"start": 2704.31, "end": 2704.79, "word": " المحاضرة", "probability": 0.9814453125}, {"start": 2704.79, "end": 2704.97, "word": " جاي", "probability": 0.822509765625}, {"start": 2704.97, "end": 2705.41, "word": " بنحكي", "probability": 0.837890625}, {"start": 2705.41, "end": 2705.57, "word": " على", "probability": 0.650390625}, {"start": 2705.57, "end": 2705.87, "word": " موضوع", "probability": 0.9864501953125}, {"start": 2705.87, "end": 2706.15, "word": " جديد", "probability": 0.87939453125}, {"start": 2706.15, "end": 2706.21, "word": " اللي", "probability": 0.90283203125}, {"start": 2706.21, "end": 2706.47, "word": " هو", "probability": 0.990234375}, {"start": 2706.47, "end": 2707.07, "word": " universal", "probability": 0.7177734375}, {"start": 2707.07, "end": 2707.39, "word": " or", "probability": 0.783203125}, {"start": 2707.39, "end": 2707.93, "word": " hoax", "probability": 0.5234375}, {"start": 2707.93, "end": 2708.47, "word": " joint", "probability": 0.75927734375}, {"start": 2708.47, "end": 2711.89, "word": " اعطيكوا", "probability": 0.7364501953125}, {"start": 2711.89, "end": 2712.25, "word": " العافية", "probability": 0.8338216145833334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2712.857, "duration_after_vad": 2313.6243749999894}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/Ckn2-U8kcbg_postprocess.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/Ckn2-U8kcbg_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..ae10aeb3b01b1e48eb397c408dd46a70b7d3d1f8
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/Ckn2-U8kcbg_postprocess.srt
@@ -0,0 +1,1432 @@
+1
+00:00:05,470 --> 00:00:08,150
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,150 --> 00:00:12,630
+وبركاته اليوم هنكمل في مادة نظرية القلات و هنستكمل
+
+3
+00:00:12,630 --> 00:00:16,450
+هي balancing of rotating masses بعدين المحاضرة
+
+4
+00:00:16,450 --> 00:00:23,390
+الأولى بتوزين كتلة بكتلة أخرى تدور في نفس المستوى
+
+5
+00:00:23,390 --> 00:00:28,570
+بعدين وزننا كتلة واحدة بكتلتين بدوروا في مستويه ..
+
+6
+00:00:28,570 --> 00:00:31,870
+يعني في مستويه مختلفين عن مستوى الكتلة المراد
+
+7
+00:00:31,870 --> 00:00:37,910
+توزينهابعدين شوفنا كيف نوزن مجموعة من الكتل بكتلة
+
+8
+00:00:37,910 --> 00:00:41,650
+واحدة كلهم بدوروا في نفس المستوى اليوم هنكمبل
+
+9
+00:00:41,650 --> 00:00:44,710
+هنشوف balancing of stellar masses rotating in
+
+10
+00:00:44,710 --> 00:00:50,110
+different planes انا عندي masses M1 M2 M3 M4
+
+11
+00:00:50,110 --> 00:00:52,590
+بدوروا في المستويات هذا مستوى هذا مستويات هذا طبعا
+
+12
+00:00:52,590 --> 00:01:01,310
+هذا محور الدبران ف M1 M2 M3 M4 بدوروا في مستويات
+
+13
+00:01:01,310 --> 00:01:02,430
+مختلفة
+
+14
+00:01:15,850 --> 00:01:21,890
+زي ما حكينا بدي اوزن الكتل M1 M2 M3 المعروف دوله
+
+15
+00:01:21,890 --> 00:01:28,050
+في اربع مصرات مختلفة من ال end view حيكون دي M1
+
+16
+00:01:28,050 --> 00:01:36,690
+على
+
+17
+00:01:36,690 --> 00:01:43,850
+radius R1 و M2 على
+
+18
+00:01:43,850 --> 00:01:51,810
+radius R2و M3 على
+
+19
+00:01:51,810 --> 00:02:03,250
+Radius R3 و M4 على
+
+20
+00:02:03,250 --> 00:02:14,030
+Radius R4 طيب
+
+21
+00:02:15,880 --> 00:02:20,860
+بدي اعملهم balance من خلال two masses one mass is
+
+22
+00:02:20,860 --> 00:02:26,480
+located at plane L و another mass is located at
+
+23
+00:02:26,480 --> 00:02:32,680
+plane M و اعتبرت ال L هو ال reference frame هذا ..
+
+24
+00:02:32,680 --> 00:02:42,450
+هذا .. هذا plane واحد اتنين L اتنين تلاتة M اربعةو
+
+25
+00:02:42,450 --> 00:02:46,090
+هذا هو ال reference plane على شماله ال negative و
+
+26
+00:02:46,090 --> 00:02:53,570
+على يمينه H موجب طبعا الكتلة M1 تبعد مستوى عن
+
+27
+00:02:53,570 --> 00:02:58,990
+مستوى ال reference ال 1 and
+
+28
+00:02:58,990 --> 00:03:07,110
+هنا ال 2 وهنا ال 3 وهنا
+
+29
+00:03:07,110 --> 00:03:09,010
+للماس التانية ال M
+
+30
+00:03:11,850 --> 00:03:15,990
+والماس الرابعة الاربعة
+
+31
+00:03:15,990 --> 00:03:21,610
+عند
+
+32
+00:03:21,610 --> 00:03:26,650
+هذه الماس MMM
+
+33
+00:03:26,650 --> 00:03:37,310
+على بعد radius RM والماس LML على بعد radius RL
+
+34
+00:03:43,540 --> 00:03:52,300
+طبعا each mass هتعمل centrifugal force هتعمل
+
+35
+00:03:52,300 --> 00:04:00,440
+centrifugal force كيمة
+
+36
+00:04:00,440 --> 00:04:01,980
+ال centrifugal فوقها هعمل جدول
+
+37
+00:04:14,910 --> 00:04:27,290
+هي ال number حب دا مندر واحد ال اتنين تلاتة
+
+38
+00:04:27,290 --> 00:04:34,750
+ام اربعة بدأت من الشمال واحد ال اتنين تلاتة ام
+
+39
+00:04:34,750 --> 00:04:38,810
+اربعة الماسين
+
+40
+00:04:38,810 --> 00:04:52,120
+هتكون دي ام واحد هدي ام الهذه M2 هين M3 M4
+
+41
+00:04:52,120 --> 00:05:06,280
+M M و M4 M M و M 4 ال
+
+42
+00:05:06,280 --> 00:05:14,170
+radius for each mass are هتكون هين R1 و R2عندي R
+
+43
+00:05:14,170 --> 00:05:17,970
+واحد و
+
+44
+00:05:17,970 --> 00:05:31,090
+R L و R اتنين و R تلاتة و R M و R أربعة
+
+45
+00:05:35,910 --> 00:05:42,210
+الـ Centrifugal Force اللي هي Fc لكل Omega Square
+
+46
+00:05:42,210 --> 00:05:49,850
+هتكون سواء M في R يعني
+
+47
+00:05:49,850 --> 00:06:14,100
+هتكون هذه M1 R1 ML RL M2 R2M3 R3 M M R M M4 R4
+
+48
+00:06:33,170 --> 00:06:38,290
+الأن ال distance المسافة من ال reference plane
+
+49
+00:06:38,290 --> 00:06:44,130
+المسافة من ال reference plane ال ..
+
+50
+00:06:44,130 --> 00:06:49,510
+اللي احنا حاكيناه على الشمال بيكون اياش موجب الان
+
+51
+00:06:49,510 --> 00:06:52,450
+ال distance من ال reference plane الواحد هيبقى
+
+52
+00:06:52,450 --> 00:06:57,770
+عناقس الواحد ال ما هي ال reference ال zero هي ال
+
+53
+00:06:57,770 --> 00:07:02,550
+ال اتنين ال تلاتة ال M
+
+54
+00:07:11,320 --> 00:07:15,400
+الاربعة لأن قيمة ال moment حوالي ال reference
+
+55
+00:07:15,400 --> 00:07:17,800
+plane قيمة ال moment حوالي ال reference plane
+
+56
+00:07:17,800 --> 00:07:21,860
+بتكون بستوى ال centrifugal force في المسافة في ال
+
+57
+00:07:21,860 --> 00:07:22,220
+distance
+
+58
+00:07:29,480 --> 00:07:38,580
+L على Omega Square اللي هتكون MRL هتكون
+
+59
+00:07:38,580 --> 00:07:43,460
+minus M1R1L1
+
+60
+00:07:43,460 --> 00:07:49,840
+هين Zero M2R2L2
+
+61
+00:07:50,740 --> 00:08:06,820
+m3,r3,l3,mm,rm,lm,m4,r4,l4
+
+62
+00:08:15,820 --> 00:08:24,740
+طبعا كل واحد .. كل .. كل central force بتعمل زاوية
+
+63
+00:08:24,740 --> 00:08:33,070
+theta .. زاوية thetaهنا عندي ثيتا واحد ثيتا ال
+
+64
+00:08:33,070 --> 00:08:43,670
+ثيتا اتنين ثيتا تلاتة ثيتا ام ثيتا اربعة من ال
+
+65
+00:08:43,670 --> 00:08:53,510
+positive x axis من ال positive x axis الان
+
+66
+00:08:53,510 --> 00:09:01,340
+ال M واحدهتعمل force Fc1
+
+67
+00:09:01,340 --> 00:09:15,660
+و M2 هتعمل force Fc2 و M M هتعمل force Fcm
+
+68
+00:09:17,090 --> 00:09:24,830
+و ال M3 هتعمل ال centrifugal force Fc3
+
+69
+00:09:24,830 --> 00:09:34,510
+و ال ML هتعمل ال centrifugal force Fcl
+
+70
+00:09:34,510 --> 00:09:42,450
+و هذا هتعمل ال centrifugal force Fc4
+
+71
+00:09:47,370 --> 00:09:57,330
+هذا centrifugal force هذا
+
+72
+00:09:57,330 --> 00:10:01,930
+ال couple due
+
+73
+00:10:01,930 --> 00:10:09,710
+to centrifugal force
+
+74
+00:10:19,480 --> 00:10:23,060
+الان انا في الاول لازم اعمل summation of force
+
+75
+00:10:23,060 --> 00:10:26,500
+بالستوى زيرو معناته هرسم ال .. ال .. ال .. ال ..
+
+76
+00:10:26,500 --> 00:10:35,900
+ال polygon بتاع ال forces fc1, fc2, fc3 وده ارسم
+
+77
+00:10:35,900 --> 00:10:41,620
+ال polygon بتاع ال couples due to fc1, fc2, fcm,
+
+78
+00:10:41,720 --> 00:10:48,200
+fc3, fcl, fc4 لو خدت الكتلة 1
+
+79
+00:10:51,040 --> 00:10:58,720
+لحظة هذه ال fc واحد يعني
+
+80
+00:10:58,720 --> 00:11:03,600
+ال fc واحد من ال end view هتكون جاهزة هيك هذه ال
+
+81
+00:11:03,600 --> 00:11:15,580
+fc واحد ال couple
+
+82
+00:11:15,580 --> 00:11:21,720
+الأناعي المسافة ال couple حوالين ال Lالكابل حوالين
+
+83
+00:11:21,720 --> 00:11:26,920
+ال reference plane هذا هيكون fc1 في ال L1 هيكون
+
+84
+00:11:26,920 --> 00:11:30,860
+عمودي عند هاي خط و هاي خط عمودي على المستوى هذا
+
+85
+00:11:30,860 --> 00:11:35,300
+يعني هيكون بهذا الاتجاه يعني الكابل ال U to fc1
+
+86
+00:11:35,300 --> 00:11:41,480
+هيكون عمودي على fc1 يعني بين و بين fc1 تسعين درجة
+
+87
+00:11:41,480 --> 00:11:46,840
+تسعين درجة يعني موجب او سالب لو كان fc1 بالعكس
+
+88
+00:11:46,840 --> 00:11:55,820
+يعنيهيكون fc لجوه هيكون لتحت يعني
+
+89
+00:11:55,820 --> 00:12:01,180
+او خلينا نحكي نفسه تجه fc واحد بس جه على هاي fc
+
+90
+00:12:01,180 --> 00:12:06,640
+واحد، fc واحد جه على الشمال هيكون عنده هاي ال
+
+91
+00:12:06,640 --> 00:12:11,500
+moment، fc هيكون بالعكس، اذا كنت على الشمال ال
+
+92
+00:12:11,500 --> 00:12:16,070
+referenceلنفس ال force بيكون ال couple معاكس في
+
+93
+00:12:16,070 --> 00:12:22,770
+اتجاه نفس ال force على يمين ال reference plane فلو
+
+94
+00:12:22,770 --> 00:12:30,190
+رسمنا ال vectors fc1 و fc2 و fc3 و fcm لان خلينا
+
+95
+00:12:30,190 --> 00:12:31,770
+نشوف كل ال vectors هيطلع معانا
+
+96
+00:12:51,440 --> 00:13:03,480
+أنا عندى هى بدأت F C 1 أفقه هى F C 1 أفقه هذه
+
+97
+00:13:03,480 --> 00:13:15,880
+F C 1 بعدين F C 2 بعدين عندى F
+
+98
+00:13:26,180 --> 00:13:42,100
+C3 F4 F4 F4 F4
+
+99
+00:13:42,100 --> 00:13:49,900
+F4 F4 F4 F4 F4
+
+100
+00:14:03,580 --> 00:14:08,980
+FCL طيب عشان نرسم ال .. ال .. ال .. ال polygon تاع
+
+101
+00:14:08,980 --> 00:14:20,680
+ال couple polygon تاع ال couple احنا
+
+102
+00:14:20,680 --> 00:14:31,270
+حكينا .. حكينا هندور .. هندورأحنا حكينا ان هاي ال
+
+103
+00:14:31,270 --> 00:14:38,910
+FC1 حكينا
+
+104
+00:14:38,910 --> 00:14:42,490
+الكابل تاع ال FC1 هيكون عمودي تسعين درجة بينه وبين
+
+105
+00:14:42,490 --> 00:14:50,350
+ال FC1 يعني هاي تسعين درجة ال FC1 جاي جاي على
+
+106
+00:14:50,350 --> 00:14:55,670
+الشمال ال reference pointمعناته كل ال couple
+
+107
+00:14:55,670 --> 00:14:59,730
+vectors due to other forces اللي على يمين ال
+
+108
+00:14:59,730 --> 00:15:07,450
+reference plane هلفها ناقص تسعين درجة يعني كل ال
+
+109
+00:15:07,450 --> 00:15:11,730
+couples due to centrifugal forces على شمال ال
+
+110
+00:15:11,730 --> 00:15:13,970
+reference plane هلفها تسعين درجة بعكس عقارة
+
+111
+00:15:13,970 --> 00:15:19,740
+بالساعةوكل ال couple ال forces جاية على يمين ال
+
+112
+00:15:19,740 --> 00:15:23,580
+reference plane بلفها تسعين درجة باتجاه عقارب
+
+113
+00:15:23,580 --> 00:15:28,040
+الساعة يعني fc1 جاية على شمال reference plane
+
+114
+00:15:28,040 --> 00:15:34,360
+بلفها تسعين درجة بيعطينا ال couple واحد هاي
+
+115
+00:15:34,360 --> 00:15:42,020
+ال couple واحد هذا fc هذا
+
+116
+00:15:42,020 --> 00:15:42,920
+c واحد
+
+117
+00:15:57,170 --> 00:16:05,450
+الـ Central force بتاعة اتنين هايها هاتنين نذكرها
+
+118
+00:16:05,450 --> 00:16:10,190
+المعناته
+
+119
+00:16:10,190 --> 00:16:14,650
+هلفها كأنا زي هيك هذه
+
+120
+00:16:14,650 --> 00:16:20,090
+FC2 لفت تسعين درجة باتجاه القرص هذه C2
+
+121
+00:16:26,110 --> 00:16:33,770
+كان ازاي هيك هاي F C تلاتة
+
+122
+00:16:33,770 --> 00:16:42,310
+لفت تسعين درجة باتجاه عقارب الساعة حصلت
+
+123
+00:16:42,310 --> 00:16:46,310
+C تلاتة F C أربعة
+
+124
+00:16:58,740 --> 00:17:07,300
+هيها هذه fc4 لفت 90 درجة باتجاه عقارب الساعة حصلت
+
+125
+00:17:07,300 --> 00:17:16,820
+c4 ماشي لان فهمنا كيف نجيب ال couple vectors اللي
+
+126
+00:17:16,820 --> 00:17:21,500
+هسوي هاخد ال couple vectors هذا
+
+127
+00:17:24,760 --> 00:17:28,700
+هو لفه تسعين درجة بعكس عقار الساعة يعني كله هلفوا
+
+128
+00:17:28,700 --> 00:17:32,660
+هك تسعين درجة بعكس عقار الساعة مانا ال C1 is لما
+
+129
+00:17:32,660 --> 00:17:37,860
+ملفه كان هنا بصير هاي C1 بعد اللف هلفهم كلهم مع
+
+130
+00:17:37,860 --> 00:17:47,580
+بعض هاي C1 لفته تسعين درجة بعكس عقار الساعة و C2
+
+131
+00:17:47,580 --> 00:17:49,660
+لما لفه تسعين درجة هصير زي هك
+
+132
+00:17:52,400 --> 00:17:57,900
+C2 تسعين درجة بعكس عقار الساعة وC3 تسعين درجة عكس
+
+133
+00:17:57,900 --> 00:18:06,060
+عقار الساعة وC4
+
+134
+00:18:06,060 --> 00:18:20,800
+تسعين درجة بعكس عقار الساعة نذكر
+
+135
+00:18:22,100 --> 00:18:26,140
+هذا عملية بعد ما لفنا ال couples حصرت اندي هاي ال
+
+136
+00:18:26,140 --> 00:18:35,760
+FC1 عكس ال FC1 هاي ال FC1 ال
+
+137
+00:18:35,760 --> 00:18:42,300
+FC2 جاية هاي ال FC2 وهاي
+
+138
+00:18:42,300 --> 00:18:45,580
+ال
+
+139
+00:18:45,580 --> 00:18:51,300
+FC3 وهاي
+
+140
+00:18:54,120 --> 00:19:00,340
+الـ FC أربعة
+
+141
+00:19:00,340 --> 00:19:05,240
+هاي
+
+142
+00:19:05,240 --> 00:19:10,640
+ال FC أربعة الان كل العملية هادة عشان أسهل الشغل
+
+143
+00:19:14,130 --> 00:19:19,330
+انا معتبر .. معتبر كأنه .. كأنه ال couples بتأثر
+
+144
+00:19:19,330 --> 00:19:21,910
+في هذه الاتجاهات لكن هي حقيقة لأ هي اتجاهاتها
+
+145
+00:19:21,910 --> 00:19:26,330
+الحقيقية بس انا اللي سويته لفيته تسعين درجة بعكس
+
+146
+00:19:26,330 --> 00:19:29,270
+عقارب الساعة لفيت كل ال couples اعطتني هذه النتيجة
+
+147
+00:19:29,270 --> 00:19:34,650
+ليش؟ اذا كنتإذا كنت ال centrifugal force جاية على
+
+148
+00:19:34,650 --> 00:19:40,570
+شمال ال reference plane بيكون ال C1 بحطها عكس ال
+
+149
+00:19:40,570 --> 00:19:46,370
+Fc1 إذا كنت على يمين ال
+
+150
+00:19:46,370 --> 00:19:50,890
+reference plane بحط ال couple force بنفس اتجاه
+
+151
+00:19:50,890 --> 00:19:58,360
+centrifugal force يعني إذا أنت كنت على شمالال
+
+152
+00:19:58,360 --> 00:20:05,100
+reference plane بحط ال couple معاكس ال centrifugal
+
+153
+00:20:05,100 --> 00:20:09,300
+force اذا كنت على يمين ال reference plane بحط
+
+154
+00:20:09,300 --> 00:20:14,420
+اتجاه ال couple في نفس اتجاه ال centrifugal force
+
+155
+00:20:14,420 --> 00:20:21,940
+هيك بيسهل الشغل كتير طبعا
+
+156
+00:20:21,940 --> 00:20:28,780
+الفكرة في الآخر هحكي صمم عشانof forces بالساوية
+
+157
+00:20:28,780 --> 00:20:35,460
+zero و summation of moments بالساوية zero and
+
+158
+00:20:35,460 --> 00:20:48,780
+solve طبعا four equations هيك ببساطة نشوف
+
+159
+00:20:48,780 --> 00:20:50,140
+نحل example
+
+160
+00:20:54,590 --> 00:20:55,490
+مسألة عملية
+
+161
+00:21:45,810 --> 00:21:54,130
+طيب عندي shaft بيحمل masses a و b و c و d masses a
+
+162
+00:21:54,130 --> 00:22:01,010
+و b و c و d a shaft carries four masses a b c and
+
+163
+00:22:01,010 --> 00:22:05,310
+d of magnitude يعني ماعطين ال mass عندي هنا عندي a
+
+164
+00:22:12,500 --> 00:22:17,960
+عند حرتبهم a x
+
+165
+00:22:17,960 --> 00:22:33,900
+b c y d a
+
+166
+00:22:33,900 --> 00:22:37,000
+shaft carries four masses a b c and e of magnitude
+
+167
+00:22:37,000 --> 00:22:38,920
+a كتلتها متين كيلو جرام
+
+168
+00:22:42,400 --> 00:22:48,040
+B تلاتمية كيلو جرام C
+
+169
+00:22:48,040 --> 00:22:54,260
+أربع مية وD
+
+170
+00:22:54,260 --> 00:23:00,380
+متين respectively
+
+171
+00:23:00,380 --> 00:23:08,020
+and revolving at red eye بدور عند red eye او راح
+
+172
+00:23:08,020 --> 00:23:09,340
+ال A تمانين
+
+173
+00:23:12,930 --> 00:23:18,330
+و ال B سبعين و
+
+174
+00:23:18,330 --> 00:23:28,190
+ال C ستين و ال D تمانين انا بعب في جدول in planes
+
+175
+00:23:28,190 --> 00:23:34,730
+measured from A على مستويات عن تلت مية اربعمية
+
+176
+00:23:34,730 --> 00:23:48,430
+سبعمية يعني هي يعني Bبتبعد تلت مية يعني A و C
+
+177
+00:23:48,430 --> 00:23:52,990
+بتبعد أربع مية و D بتبعد سبع مية يعني تلت مية و
+
+178
+00:23:52,990 --> 00:24:02,330
+أربع مية و سبع مية نرجع لها بعدين هادى
+
+179
+00:24:02,330 --> 00:24:06,570
+the angles between the cranks measured
+
+180
+00:24:06,570 --> 00:24:10,590
+anticlockwise are a to b الزوايا
+
+181
+00:24:13,650 --> 00:24:19,930
+الزاوية عندى اول شي a زاوية مع ال x axis صفر
+
+182
+00:24:19,930 --> 00:24:25,110
+الزاوية
+
+183
+00:24:25,110 --> 00:24:29,630
+من a و b خمسة واربعين معناه تتا اتنين هتكون تتا b
+
+184
+00:24:29,630 --> 00:24:37,590
+هتكون اكم خمسة واربعين درجة تتا b هتكون خمسة
+
+185
+00:24:37,590 --> 00:24:39,670
+واربعين درجة
+
+186
+00:24:41,930 --> 00:24:46,590
+بين بي و سي سبعين
+
+187
+00:24:46,590 --> 00:24:51,730
+يعني من ال X X هتكون سبعين زي خمسة واربعين مية و
+
+188
+00:24:51,730 --> 00:25:01,590
+خمس تاش و
+
+189
+00:25:01,590 --> 00:25:10,150
+بين سي و دي مية و عشرينيعني هتكون مية و خمس أسطاش
+
+190
+00:25:10,150 --> 00:25:14,850
+زاد مية و عشرين أكم مية و خمس أسطاش زاد مية و
+
+191
+00:25:14,850 --> 00:25:23,590
+عشرين خمسة متين و خمس و تلاتين هذا متين
+
+192
+00:25:23,590 --> 00:25:36,630
+و خمس و تلاتين طيب
+
+193
+00:25:39,080 --> 00:25:43,120
+The balancing masses are to be placed in planes X
+
+194
+00:25:43,120 --> 00:25:51,040
+and Y هحط كتلتين للتوزين عند المستوى X و Y
+
+195
+00:26:11,880 --> 00:26:19,740
+معطيل المسافات يعني عندى ال distance بين a و x
+
+196
+00:26:19,740 --> 00:26:25,960
+اللى هى ال reference هعتبرها هده ال reference هده
+
+197
+00:26:25,960 --> 00:26:27,180
+ال reference
+
+198
+00:26:36,480 --> 00:26:42,500
+هتكون a جاية على الشمال معناته بالسالب هتكون ناقص
+
+199
+00:26:42,500 --> 00:26:54,920
+مية مية ملي خليني
+
+200
+00:26:54,920 --> 00:26:59,460
+احكيش نشتغل متر ناقص
+
+201
+00:27:01,420 --> 00:27:15,960
+على الف point one ال X ما هي ال reference Zero بين
+
+202
+00:27:15,960 --> 00:27:27,500
+B و X هتكون تلت مية ناقص مية متين بين
+
+203
+00:27:27,500 --> 00:27:42,660
+Cو X هتكون أربعمية ناقص مية تلت مية بين
+
+204
+00:27:42,660 --> 00:27:57,920
+X و Y هذه Y هذه خمسمية ناقص مية أربعمية بين
+
+205
+00:27:57,920 --> 00:28:16,610
+D و Xهذه سبعمية ناقص مية ستمية طيب
+
+206
+00:28:16,610 --> 00:28:20,190
+if
+
+207
+00:28:20,190 --> 00:28:25,830
+the revolving if the balancing massesالكتر اللي
+
+208
+00:28:25,830 --> 00:28:29,450
+عند x و y اللي هستخدمه للتوزين يتطور في عرض 100
+
+209
+00:28:29,450 --> 00:28:36,910
+ملي متر اذا كان عرض x 100 ملي متر 100 ملي يعني
+
+210
+00:28:36,910 --> 00:28:43,550
+هيكون عرض هذا 100 ملي متر وهذا
+
+211
+00:28:43,550 --> 00:28:48,650
+100 ملي متر خلينا
+
+212
+00:28:48,650 --> 00:28:49,950
+نحول هذه القيم كلها
+
+213
+00:28:53,670 --> 00:29:00,530
+الميتر point o تمانية point
+
+214
+00:29:00,530 --> 00:29:06,190
+one وهذه
+
+215
+00:29:06,190 --> 00:29:13,450
+point o seven وهذه
+
+216
+00:29:13,450 --> 00:29:20,990
+point o ستة وهذه
+
+217
+00:29:20,990 --> 00:29:21,690
+point one
+
+218
+00:29:26,880 --> 00:29:33,520
+ها دي point o8 point
+
+219
+00:29:33,520 --> 00:29:38,740
+o8 find
+
+220
+00:29:38,740 --> 00:29:49,420
+their magnitudes يعني انا عندى مجهول هنا بدي
+
+221
+00:29:49,420 --> 00:29:54,380
+M X و M Y او بدي Theta X
+
+222
+00:29:57,910 --> 00:30:07,610
+و theta y لأنها أربع مجاهيل خلّيني
+
+223
+00:30:07,610 --> 00:30:13,210
+اوجد ال force للكل omega square يعني هضرب هدى بهدى
+
+224
+00:30:13,210 --> 00:30:22,250
+200 200 في 8 على 100 يعني 200 على 100 أكام؟ 2 في 8
+
+225
+00:30:22,250 --> 00:30:33,910
+هو 16 هذا هتطلع ع بالجدولةهذه هتكون هسميها MX MX
+
+226
+00:30:33,910 --> 00:30:50,130
+هذه هتكون point واحد M هين هتكون واحد وعشرين وهين
+
+227
+00:30:50,130 --> 00:30:55,150
+اربعة وعشرين وهين هدي MY
+
+228
+00:31:01,110 --> 00:31:19,330
+point واحد M Y وهين ستاش طيب
+
+229
+00:31:19,330 --> 00:31:26,330
+عند
+
+230
+00:31:26,330 --> 00:31:35,490
+هنا حضروا في ال Lعند 16.1 هتكون minus واحد
+
+231
+00:31:35,490 --> 00:31:43,710
+point ستة هين صفر اخليني
+
+232
+00:31:43,710 --> 00:31:51,790
+برضه احولها ل متر هذه اتنين من عشرة هذه
+
+233
+00:31:51,790 --> 00:31:52,810
+تلاتة من عشرة
+
+234
+00:31:57,290 --> 00:32:02,210
+و هذه أربعة من عشرة و
+
+235
+00:32:02,210 --> 00:32:09,390
+هذه ستة من عشرة هكون
+
+236
+00:32:09,390 --> 00:32:14,390
+عندي واحد و عشرين في اتنين في point اتنين اتنين و
+
+237
+00:32:14,390 --> 00:32:20,330
+اربع point اتنين هذا ال couple عندي هنا
+
+238
+00:32:23,530 --> 00:32:30,730
+سبعة point two point
+
+239
+00:32:30,730 --> 00:32:35,650
+four
+
+240
+00:32:35,650 --> 00:32:39,590
+MY
+
+241
+00:32:39,590 --> 00:32:45,550
+تسعة
+
+242
+00:32:45,550 --> 00:32:49,030
+point ستة
+
+243
+00:33:02,170 --> 00:33:08,670
+هرصم ال .. ال .. هرصم ال
+
+244
+00:33:08,670 --> 00:33:18,230
+central force polygon هرصم
+
+245
+00:33:18,230 --> 00:33:25,010
+ال central force polygon عندي ال FC1 هاي ال FC1
+
+246
+00:33:25,010 --> 00:33:29,010
+فدي
+
+247
+00:33:29,010 --> 00:33:30,630
+FCA ده اسمه FCA
+
+248
+00:33:39,400 --> 00:33:52,500
+بعدين fcb وين fcb تعمل خمس و أربعين درجة fcb
+
+249
+00:33:52,500 --> 00:33:58,920
+هذا الزوايا خمس و أربعين درجة بعدين
+
+250
+00:33:58,920 --> 00:34:03,220
+fcc تعمل مية و خمستاشر درجة
+
+251
+00:34:14,790 --> 00:34:29,010
+FCC بتعمل 115 درجة بعدين
+
+252
+00:34:29,010 --> 00:34:34,730
+FCD تعمل
+
+253
+00:34:34,730 --> 00:34:37,550
+235 درجة 180
+
+254
+00:34:51,760 --> 00:35:01,220
+وها دي fc دي أدزاها كلها متين
+
+255
+00:35:01,220 --> 00:35:08,080
+وخمس وخمسين او متين وخمس وتلاتين درجة متين
+
+256
+00:35:08,080 --> 00:35:12,060
+وخمس تلاتين درجة
+
+257
+00:35:15,350 --> 00:35:20,430
+هذا ال .. ال central force diagram بدي اعمل ال
+
+258
+00:35:20,430 --> 00:35:25,010
+couple diagram couple diagram couple
+
+259
+00:35:25,010 --> 00:35:30,050
+diagram هكون نفسه بس ال forces اللي ع شمال ال
+
+260
+00:35:30,050 --> 00:35:34,270
+reference هتكون عكسها يعني هحاجي اعمل هنا عندي هنا
+
+261
+00:35:34,270 --> 00:35:38,010
+عندي
+
+262
+00:35:38,010 --> 00:35:55,270
+Fc Ca عكس هذهCB في نفس اتجاه جهة عاليمين CB وبيعمل
+
+263
+00:35:55,270 --> 00:36:01,190
+زاوية خمسة واربعين و
+
+264
+00:36:01,190 --> 00:36:06,950
+CC بيعمل
+
+265
+00:36:06,950 --> 00:36:12,610
+زاوية مية و خمس عشر و CD
+
+266
+00:36:19,420 --> 00:36:23,580
+بعمل زاوية مئتين
+
+267
+00:36:23,580 --> 00:36:30,600
+وخمس و تلاتين مضال عندي هنا في ال couples C X في
+
+268
+00:36:30,600 --> 00:36:36,660
+عندي اللي هي اللي
+
+269
+00:36:36,660 --> 00:36:46,670
+هي Cاللي هي CY CY مش عارف CY أيه اتجاهها تكون CY
+
+270
+00:36:46,670 --> 00:36:57,010
+هكون مركبتين CY X هكون دي CY
+
+271
+00:36:57,010 --> 00:37:02,910
+CY capital CY
+
+272
+00:37:02,910 --> 00:37:09,030
+capital باتجاه ال X أنا مش عارف اتجاهها حاليا و CY
+
+273
+00:37:12,690 --> 00:37:16,550
+y هذا هو ال polygon هذا هبدأ في ال .. في ايه اش؟
+
+274
+00:37:16,550 --> 00:37:22,130
+في ال polygon بتاع .. في ال polygon بتاع ال .. ال
+
+275
+00:37:22,130 --> 00:37:29,650
+.. ال couples هحكي summation of couples هيكون
+
+276
+00:37:29,650 --> 00:37:34,290
+الساوية zero هحكي
+
+277
+00:37:34,290 --> 00:37:39,130
+summation of c .. c capital x .. x capital zero
+
+278
+00:37:39,130 --> 00:37:40,210
+المعنى انها هيكون الساوية عندى
+
+279
+00:37:44,910 --> 00:37:51,030
+بالنسبة ل a هتكون minus واحد وستة من عشرة cosine
+
+280
+00:37:51,030 --> 00:37:59,870
+theta a يعني هتكون minus واحد وستة من عشرة x
+
+281
+00:37:59,870 --> 00:38:05,530
+zero b
+
+282
+00:38:05,530 --> 00:38:11,730
+زائد اربع point اتنين cosine
+
+283
+00:38:11,730 --> 00:38:12,850
+الخمسة واربعين
+
+284
+00:38:16,920 --> 00:38:29,420
+زائد سبعة point اتنين cosine المية وخمستاش زائد
+
+285
+00:38:29,420 --> 00:38:35,700
+ده سامعها cyx زائد cyx
+
+286
+00:38:35,700 --> 00:38:39,160
+من هذه المعادلة لاحظوش ان ده مجهو غير بحسب cyx
+
+287
+00:38:39,160 --> 00:38:43,060
+بحسب cyx بحسبها
+
+288
+00:38:45,850 --> 00:38:50,870
+بعدين برجع احكي summation الى c باتجاه ال y
+
+289
+00:38:50,870 --> 00:38:55,910
+بالساوة zero هيكون
+
+290
+00:38:55,910 --> 00:38:59,670
+عندي هذه الزاوية تاعتها سفر وانت هتكون مراكب لها
+
+291
+00:38:59,670 --> 00:39:06,730
+سفر زائد سفر زاد
+
+292
+00:39:06,730 --> 00:39:11,730
+اربعة point اتنين صين
+
+293
+00:39:11,730 --> 00:39:20,470
+الخمسة واربعينزائد سبعة point اتنين ساين
+
+294
+00:39:20,470 --> 00:39:33,370
+المية و خمس استاش زائد C Y capital و Y زائد
+
+295
+00:39:33,370 --> 00:39:42,370
+تسعة point ستة في احنا نسينا شغله هين هين
+
+296
+00:39:45,720 --> 00:39:53,000
+هذه زائد تسعة بون ستة cosine
+
+297
+00:39:53,000 --> 00:39:59,940
+المتين و خمس و تلاتين و منها بنحسب C capital Y X
+
+298
+00:39:59,940 --> 00:40:08,160
+زائد تسعة بون ستة sine المتين
+
+299
+00:40:08,160 --> 00:40:13,280
+و خمسة و تلاتين درجة و منها باحسب
+
+300
+00:40:24,380 --> 00:40:32,040
+الان ال CYX ال
+
+301
+00:40:32,040 --> 00:40:37,200
+CYX already معروف بساطة ال CYX
+
+302
+00:40:41,710 --> 00:40:51,370
+بتساوي point O for MY point for O for MY
+
+303
+00:40:51,370 --> 00:41:00,070
+ومنها بحسب ال M Y و
+
+304
+00:41:00,070 --> 00:41:09,390
+ال C Y capital Y اللي حسبناها من هنا بتساوي
+
+305
+00:41:12,170 --> 00:41:19,130
+لحظة هنا فيش غلط لأ
+
+306
+00:41:19,130 --> 00:41:27,070
+حسبت الـCYX وCYY بحسب بعدين باجه كده CY capital
+
+307
+00:41:27,070 --> 00:41:33,070
+بالساوية جزر التربية لCY
+
+308
+00:41:33,070 --> 00:41:40,790
+capital X تربية زاد CYY تربية بالساوية
+
+309
+00:41:43,250 --> 00:41:51,770
+هيك حسبنا الـCY Capital الـCY Capital بتساوي
+
+310
+00:41:51,770 --> 00:41:56,450
+point O for
+
+311
+00:41:56,450 --> 00:42:09,850
+MY Capital ومنها بأحسب اللي هي الـMY هيك بحسب
+
+312
+00:42:09,850 --> 00:42:10,430
+الـMY
+
+313
+00:42:16,700 --> 00:42:23,120
+once حسبة الاموع بيجي على العمود هذا بيجي احكي
+
+314
+00:42:23,120 --> 00:42:28,200
+sumational forces باتجاه ال X لان خلصنا ال couple
+
+315
+00:42:28,200 --> 00:42:34,760
+بيجي احكي sumational forces باتجاه
+
+316
+00:42:34,760 --> 00:42:43,820
+ال X بالساوية Zero هتساوية ستاش كسان Zero ستاش
+
+317
+00:42:46,330 --> 00:42:59,150
+زاد هذا زاد هيكون زاد زاد اف اكس capital زاد
+
+318
+00:42:59,150 --> 00:43:09,070
+اف اكس capital زاد
+
+319
+00:43:11,020 --> 00:43:16,040
+الـ FB اللي هي واحد و عشرين كوصين الخمسة و أربعين
+
+320
+00:43:16,040 --> 00:43:27,600
+كوصين الخمسة و أربعين زاد الأربع و عشرين أربع
+
+321
+00:43:27,600 --> 00:43:31,900
+و عشرين كوصين المية و خمستاشر
+
+322
+00:43:43,240 --> 00:43:47,620
+زائد انا ردي حسبت ال point واحد MY MY صارت معروف
+
+323
+00:43:47,620 --> 00:43:52,980
+عن دي الزاوية بتاعتها دي زاوية بتاعة تيتا Y تيتا Y
+
+324
+00:43:52,980 --> 00:43:57,740
+بدي احكي تيتا Y هنا خلينا ناخد عجند تيتا Y
+
+325
+00:43:57,740 --> 00:44:03,640
+بالساوية Tan inverse ل
+
+326
+00:44:03,640 --> 00:44:17,860
+C Y Yعلى CYX يعني صارت theta Y معروفة theta Y صارت
+
+327
+00:44:17,860 --> 00:44:23,240
+معروفة عندي زائد point واحد زائد point واحد هنا
+
+328
+00:44:23,240 --> 00:44:29,620
+نكمل point واحد MY معروف عندي point واحد MY cosine
+
+329
+00:44:29,620 --> 00:44:31,940
+theta Y
+
+330
+00:44:37,350 --> 00:44:41,970
+زائد ستاش cosine
+
+331
+00:44:41,970 --> 00:45:02,650
+متين و خمس و تلاتين درجة و منها باحسب ال Fx بعد
+
+332
+00:45:02,650 --> 00:45:11,400
+ان احكي summationلل fy بيساوي سفر هدا هتكون عندى
+
+333
+00:45:11,400 --> 00:45:22,160
+سفر هتساوي سفر زاد fy زاد
+
+334
+00:45:22,160 --> 00:45:30,900
+واحد وعشرين sign الخمسة واربعين زاد اربع وعشرين
+
+335
+00:45:30,900 --> 00:45:41,390
+sign المية وخمستاشزائد point واحد my
+
+336
+00:45:41,390 --> 00:45:53,810
+sin θ y زائد ستاش sin ال متين و خمس و تلاتين درجة
+
+337
+00:45:53,810 --> 00:46:00,210
+و منها باحسب ال fy منها
+
+338
+00:46:00,210 --> 00:46:01,510
+باحسب ال fy
+
+339
+00:46:06,370 --> 00:46:14,950
+انا بعسب ال fy طيب
+
+340
+00:46:14,950 --> 00:46:19,950
+لسه ماحسبتش ال m ال mx
+
+341
+00:46:26,920 --> 00:46:31,780
+معناته حاجة احكي انا point واحد point واحد point
+
+342
+00:46:31,780 --> 00:46:35,200
+واحد point واحد point واحد point واحد point واحد
+
+343
+00:46:35,200 --> 00:46:36,220
+point واحد point واحد point واحد point واحد point
+
+344
+00:46:36,220 --> 00:46:40,740
+واحد point واحد point واحد point واحد point واحد
+
+345
+00:46:40,740 --> 00:46:43,000
+point واحد point واحد point واحد point واحد point
+
+346
+00:46:43,000 --> 00:46:43,020
+واحد point واحد point واحد point واحد point واحد
+
+347
+00:46:43,020 --> 00:46:44,480
+point واحد point واحد point واحد point واحد point
+
+348
+00:46:44,480 --> 00:46:44,720
+واحد point واحد point واحد point واحد point واحد
+
+349
+00:46:44,720 --> 00:46:46,260
+point واحد point واحد point واحد point واحد point
+
+350
+00:46:46,260 --> 00:46:47,760
+واحد point واحد point واحد point واحد point واحد
+
+351
+00:46:47,760 --> 00:46:51,440
+واحد point واحد point واحد point واحد point
+
+352
+00:46:51,440 --> 00:46:52,660
+واحد point
+
+353
+00:47:15,180 --> 00:47:21,170
+بالطريقة هذه احنا حسبناقيمة الكتلة عند X والكتلة
+
+354
+00:47:21,170 --> 00:47:28,430
+عند Y اللى بوزن الكتل A وB وC وD بحيث ان كتلة X
+
+355
+00:47:28,430 --> 00:47:34,530
+بعيدة نص كتر أبونت واحد وكتلة Y جاية نص كتر أبونت
+
+356
+00:47:34,530 --> 00:47:38,810
+واحد بهذه الطريقة احنا استطعنا توزين اربع كتل
+
+357
+00:47:38,810 --> 00:47:45,370
+باستخدام كتلتين هيك يكون انهينا الشبطر، اعطيكوا
+
+358
+00:47:45,370 --> 00:47:46,550
+العفو، السلام عليكم
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/Ckn2-U8kcbg_raw.json b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/Ckn2-U8kcbg_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..ef3905a426171ad94b83a7a6b16af3185c716aa8
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/Ckn2-U8kcbg_raw.json
@@ -0,0 +1 @@
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Square اللي هتكون MRL هتكون minus M1R1L1 هين Zero M2R2L2", "tokens": [43, 6225, 23942, 27645, 16463, 13672, 1829, 8032, 2655, 30544, 9808, 43, 8032, 2655, 30544, 3175, 376, 16, 49, 16, 43, 16, 8032, 9957, 17182, 376, 17, 49, 17, 43, 17], "avg_logprob": -0.44897462148219347, "compression_ratio": 1.0476190476190477, "no_speech_prob": 0.0, "words": [{"start": 449.48, "end": 449.9, "word": "L", "probability": 0.298828125}, {"start": 449.9, "end": 450.82, "word": " على", "probability": 0.27545166015625}, {"start": 450.82, "end": 451.1, "word": " Omega", "probability": 0.493408203125}, {"start": 451.1, "end": 451.66, "word": " Square", "probability": 0.43115234375}, {"start": 451.66, "end": 452.38, "word": " اللي", "probability": 0.4375}, {"start": 452.38, "end": 452.78, "word": " هتكون", "probability": 0.7828776041666666}, {"start": 452.78, "end": 454.5, "word": " MRL", "probability": 0.6722412109375}, {"start": 454.5, "end": 458.58, "word": " هتكون", "probability": 0.8885091145833334}, 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FC2 لفت تسعين درجة باتجاه القرص هذه C2", "tokens": [6027, 39184, 9701, 3464, 39894, 995, 27884, 1975, 2655, 1863, 9957, 8032, 47302, 11296, 8032, 9307, 1863, 9957, 8717, 8848, 37983, 11296, 9673, 3615, 8315, 47395, 8032, 46538, 11296, 9122, 10721, 8315, 30767, 1829, 39896, 4117, 29538, 27168, 17, 5296, 5172, 2655, 6055, 3794, 3615, 9957, 11778, 47341, 3660, 4724, 9307, 7435, 40294, 25062, 2288, 9381, 29538, 383, 17], "avg_logprob": -0.36588540524244306, "compression_ratio": 1.36986301369863, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 957.17, "end": 957.45, "word": "الـ", "probability": 0.427734375}, {"start": 957.45, "end": 957.65, "word": " Central", "probability": 0.259033203125}, {"start": 957.65, "end": 958.23, "word": " force", "probability": 0.70947265625}, {"start": 958.23, "end": 958.71, "word": " بتاعة", "probability": 0.6984049479166666}, {"start": 958.71, "end": 960.89, "word": " اتنين", "probability": 0.8021240234375}, {"start": 960.89, "end": 962.25, 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كأنه .. كأنه ال couples بتأثر في هذه الاتجاهات لكن هي حقيقة لأ هي اتجاهاتها الحقيقية بس انا اللي سويته لفيته تسعين درجة بعكس عقارب الساعة لفيت كل ال couples اعطتني هذه النتيجة ليش؟ اذا كنت", "tokens": [7649, 995, 3714, 34268, 26890, 4386, 3714, 34268, 26890, 9122, 33456, 3224, 4386, 9122, 33456, 3224, 2423, 20368, 39894, 10721, 49115, 8978, 29538, 2423, 9307, 7435, 40294, 9307, 44381, 39896, 11331, 38436, 28671, 5296, 10721, 39896, 1975, 2655, 7435, 40294, 9307, 11296, 21542, 38436, 4587, 10632, 4724, 3794, 1975, 8315, 13672, 1829, 8608, 2407, 36081, 3224, 5296, 5172, 36081, 3224, 6055, 3794, 3615, 9957, 11778, 47341, 3660, 45030, 4117, 3794, 6225, 4587, 9640, 3555, 21136, 995, 27884, 5296, 5172, 36081, 28242, 2423, 20368, 1975, 3615, 9566, 2655, 22653, 29538, 28239, 31371, 7435, 3660, 32239, 8592, 22807, 1975, 15730, 9122, 29399], "avg_logprob": -0.17280321900207218, "compression_ratio": 1.8121827411167513, "no_speech_prob": 3.2901763916015625e-05, "words": [{"start": 1154.13, "end": 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/Ckn2-U8kcbg_raw.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/Ckn2-U8kcbg_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..6768355be07a1c9e5ef30aedd9fe1ed6131e17a7
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/Ckn2-U8kcbg_raw.srt
@@ -0,0 +1,1452 @@
+1
+00:00:05,470 --> 00:00:08,150
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,150 --> 00:00:12,630
+وبركاته اليوم هنكمل في مادة نظرية القلات و هنستكمل
+
+3
+00:00:12,630 --> 00:00:16,450
+هي balancing of rotating masses بعدين المحاضرة
+
+4
+00:00:16,450 --> 00:00:23,390
+الأولى بتوزين كتلة بكتلة أخرى تدور في نفس المستوى
+
+5
+00:00:23,390 --> 00:00:28,570
+بعدين وزننا كتلة واحدة بكتلتين بدوروا في مستويه ..
+
+6
+00:00:28,570 --> 00:00:31,870
+يعني في مستويه مختلفين عن مستوى الكتلة المراد
+
+7
+00:00:31,870 --> 00:00:37,910
+توزينهابعدين شوفنا كيف نوزن مجموعة من الكتل بكتلة
+
+8
+00:00:37,910 --> 00:00:41,650
+واحدة كلهم بدوروا في نفس المستوى اليوم هنكمبل
+
+9
+00:00:41,650 --> 00:00:44,710
+هنشوف balancing of stellar masses rotating in
+
+10
+00:00:44,710 --> 00:00:50,110
+different planes انا عندي masses M1 M2 M3 M4
+
+11
+00:00:50,110 --> 00:00:52,590
+بدوروا في المستويات هذا مستوى هذا مستويات هذا طبعا
+
+12
+00:00:52,590 --> 00:01:01,310
+هذا محور الدبران ف M1 M2 M3 M4 بدوروا في مستويات
+
+13
+00:01:01,310 --> 00:01:02,430
+مختلفة
+
+14
+00:01:15,850 --> 00:01:21,890
+زي ما حكينا بدي اوزن الكتل M1 M2 M3 المعروف دوله
+
+15
+00:01:21,890 --> 00:01:28,050
+في اربع مصرات مختلفة من ال end view حيكون دي M1
+
+16
+00:01:28,050 --> 00:01:36,690
+على
+
+17
+00:01:36,690 --> 00:01:43,850
+radius R1 و M2 على
+
+18
+00:01:43,850 --> 00:01:51,810
+radius R2و M3 على
+
+19
+00:01:51,810 --> 00:02:03,250
+Radius R3 و M4 على
+
+20
+00:02:03,250 --> 00:02:14,030
+Radius R4 طيب
+
+21
+00:02:15,880 --> 00:02:20,860
+بدي اعملهم balance من خلال two masses one mass is
+
+22
+00:02:20,860 --> 00:02:26,480
+located at plane L و another mass is located at
+
+23
+00:02:26,480 --> 00:02:32,680
+plane M و اعتبرت ال L هو ال reference frame هذا ..
+
+24
+00:02:32,680 --> 00:02:42,450
+هذا .. هذا plane واحد اتنين L اتنين تلاتة M اربعةو
+
+25
+00:02:42,450 --> 00:02:46,090
+هذا هو ال reference plane على شماله ال negative و
+
+26
+00:02:46,090 --> 00:02:53,570
+على يمينه H موجب طبعا الكتلة M1 تبعد مستوى عن
+
+27
+00:02:53,570 --> 00:02:58,990
+مستوى ال reference ال 1 and
+
+28
+00:02:58,990 --> 00:03:07,110
+هنا ال 2 وهنا ال 3 وهنا
+
+29
+00:03:07,110 --> 00:03:09,010
+للماس التانية ال M
+
+30
+00:03:11,850 --> 00:03:15,990
+والماس الرابعة الاربعة
+
+31
+00:03:15,990 --> 00:03:21,610
+عند
+
+32
+00:03:21,610 --> 00:03:26,650
+هذه الماس MMM
+
+33
+00:03:26,650 --> 00:03:37,310
+على بعد radius RM والماس LML على بعد radius RL
+
+34
+00:03:43,540 --> 00:03:52,300
+طبعا each mass هتعمل centrifugal force هتعمل
+
+35
+00:03:52,300 --> 00:04:00,440
+centrifugal force كيمة
+
+36
+00:04:00,440 --> 00:04:01,980
+ال centrifugal فوقها هعمل جدول
+
+37
+00:04:14,910 --> 00:04:27,290
+هي ال number حب دا مندر واحد ال اتنين تلاتة
+
+38
+00:04:27,290 --> 00:04:34,750
+ام اربعة بدأت من الشمال واحد ال اتنين تلاتة ام
+
+39
+00:04:34,750 --> 00:04:38,810
+اربعة الماسين
+
+40
+00:04:38,810 --> 00:04:52,120
+هتكون دي ام واحد هدي ام الهذه M2 هين M3 M4
+
+41
+00:04:52,120 --> 00:05:06,280
+M M و M4 M M و M 4 ال
+
+42
+00:05:06,280 --> 00:05:14,170
+radius for each mass are هتكون هين R1 و R2عندي R
+
+43
+00:05:14,170 --> 00:05:17,970
+واحد و
+
+44
+00:05:17,970 --> 00:05:31,090
+R L و R اتنين و R تلاتة و R M و R أربعة
+
+45
+00:05:35,910 --> 00:05:42,210
+الـ Centrifugal Force اللي هي Fc لكل Omega Square
+
+46
+00:05:42,210 --> 00:05:49,850
+هتكون سواء M في R يعني
+
+47
+00:05:49,850 --> 00:06:14,100
+هتكون هذه M1 R1 ML RL M2 R2M3 R3 M M R M M4 R4
+
+48
+00:06:33,170 --> 00:06:38,290
+الأن ال distance المسافة من ال reference plane
+
+49
+00:06:38,290 --> 00:06:44,130
+المسافة من ال reference plane ال ..
+
+50
+00:06:44,130 --> 00:06:49,510
+اللي احنا حاكيناه على الشمال بيكون اياش موجب الان
+
+51
+00:06:49,510 --> 00:06:52,450
+ال distance من ال reference plane الواحد هيبقى
+
+52
+00:06:52,450 --> 00:06:57,770
+عناقس الواحد ال ما هي ال reference ال zero هي ال
+
+53
+00:06:57,770 --> 00:07:02,550
+ال اتنين ال تلاتة ال M
+
+54
+00:07:11,320 --> 00:07:15,400
+الاربعة لأن قيمة ال moment حوالي ال reference
+
+55
+00:07:15,400 --> 00:07:17,800
+plane قيمة ال moment حوالي ال reference plane
+
+56
+00:07:17,800 --> 00:07:21,860
+بتكون بستوى ال centrifugal force في المسافة في ال
+
+57
+00:07:21,860 --> 00:07:22,220
+distance
+
+58
+00:07:29,480 --> 00:07:38,580
+L على Omega Square اللي هتكون MRL هتكون
+
+59
+00:07:38,580 --> 00:07:43,460
+minus M1R1L1
+
+60
+00:07:43,460 --> 00:07:49,840
+هين Zero M2R2L2
+
+61
+00:07:50,740 --> 00:08:06,820
+m3,r3,l3,mm,rm,lm,m4,r4,l4
+
+62
+00:08:15,820 --> 00:08:24,740
+طبعا كل واحد .. كل .. كل central force بتعمل زاوية
+
+63
+00:08:24,740 --> 00:08:33,070
+theta .. زاوية thetaهنا عندي ثيتا واحد ثيتا ال
+
+64
+00:08:33,070 --> 00:08:43,670
+ثيتا اتنين ثيتا تلاتة ثيتا ام ثيتا اربعة من ال
+
+65
+00:08:43,670 --> 00:08:53,510
+positive x axis من ال positive x axis الان
+
+66
+00:08:53,510 --> 00:09:01,340
+ال M واحدهتعمل force Fc1
+
+67
+00:09:01,340 --> 00:09:15,660
+و M2 هتعمل force Fc2 و M M هتعمل force Fcm
+
+68
+00:09:17,090 --> 00:09:24,830
+و ال M3 هتعمل ال centrifugal force Fc3
+
+69
+00:09:24,830 --> 00:09:34,510
+و ال ML هتعمل ال centrifugal force Fcl
+
+70
+00:09:34,510 --> 00:09:42,450
+و هذا هتعمل ال centrifugal force Fc4
+
+71
+00:09:47,370 --> 00:09:57,330
+هذا centrifugal force هذا
+
+72
+00:09:57,330 --> 00:10:01,930
+ال couple due
+
+73
+00:10:01,930 --> 00:10:09,710
+to centrifugal force
+
+74
+00:10:19,480 --> 00:10:23,060
+الان انا في الاول لازم اعمل summation of force
+
+75
+00:10:23,060 --> 00:10:26,500
+بالستوى زيرو معناته هرسم ال .. ال .. ال .. ال ..
+
+76
+00:10:26,500 --> 00:10:35,900
+ال polygon بتاع ال forces fc1, fc2, fc3 وده ارسم
+
+77
+00:10:35,900 --> 00:10:41,620
+ال polygon بتاع ال couples due to fc1, fc2, fcm,
+
+78
+00:10:41,720 --> 00:10:48,200
+fc3, fcl, fc4 لو خدت الكتلة 1
+
+79
+00:10:51,040 --> 00:10:58,720
+لحظة هذه ال fc واحد يعني
+
+80
+00:10:58,720 --> 00:11:03,600
+ال fc واحد من ال end view هتكون جاهزة هيك هذه ال
+
+81
+00:11:03,600 --> 00:11:15,580
+fc واحد ال couple
+
+82
+00:11:15,580 --> 00:11:21,720
+الأناعي المسافة ال couple حوالين ال Lالكابل حوالين
+
+83
+00:11:21,720 --> 00:11:26,920
+ال reference plane هذا هيكون fc1 في ال L1 هيكون
+
+84
+00:11:26,920 --> 00:11:30,860
+عمودي عند هاي خط و هاي خط عمودي على المستوى هذا
+
+85
+00:11:30,860 --> 00:11:35,300
+يعني هيكون بهذا الاتجاه يعني الكابل ال U to fc1
+
+86
+00:11:35,300 --> 00:11:41,480
+هيكون عمودي على fc1 يعني بين و بين fc1 تسعين درجة
+
+87
+00:11:41,480 --> 00:11:46,840
+تسعين درجة يعني موجب او سالب لو كان fc1 بالعكس
+
+88
+00:11:46,840 --> 00:11:55,820
+يعنيهيكون fc لجوه هيكون لتحت يعني
+
+89
+00:11:55,820 --> 00:12:01,180
+او خلينا نحكي نفسه تجه fc واحد بس جه على هاي fc
+
+90
+00:12:01,180 --> 00:12:06,640
+واحد، fc واحد جه على الشمال هيكون عنده هاي ال
+
+91
+00:12:06,640 --> 00:12:11,500
+moment، fc هيكون بالعكس، اذا كنت على الشمال ال
+
+92
+00:12:11,500 --> 00:12:16,070
+referenceلنفس ال force بيكون ال couple معاكس في
+
+93
+00:12:16,070 --> 00:12:22,770
+اتجاه نفس ال force على يمين ال reference plane فلو
+
+94
+00:12:22,770 --> 00:12:30,190
+رسمنا ال vectors fc1 و fc2 و fc3 و fcm لان خلينا
+
+95
+00:12:30,190 --> 00:12:31,770
+نشوف كل ال vectors هيطلع معانا
+
+96
+00:12:51,440 --> 00:13:03,480
+أنا عندى هى بدأت F C 1 أفقه هى F C 1 أفقه هذه
+
+97
+00:13:03,480 --> 00:13:15,880
+F C 1 بعدين F C 2 بعدين عندى F
+
+98
+00:13:26,180 --> 00:13:42,100
+C3 F4 F4 F4 F4
+
+99
+00:13:42,100 --> 00:13:49,900
+F4 F4 F4 F4 F4
+
+100
+00:14:03,580 --> 00:14:08,980
+FCL طيب عشان نرسم ال .. ال .. ال .. ال polygon تاع
+
+101
+00:14:08,980 --> 00:14:20,680
+ال couple polygon تاع ال couple احنا
+
+102
+00:14:20,680 --> 00:14:31,270
+حكينا .. حكينا هندور .. هندورأحنا حكينا ان هاي ال
+
+103
+00:14:31,270 --> 00:14:38,910
+FC1 حكينا
+
+104
+00:14:38,910 --> 00:14:42,490
+الكابل تاع ال FC1 هيكون عمودي تسعين درجة بينه وبين
+
+105
+00:14:42,490 --> 00:14:50,350
+ال FC1 يعني هاي تسعين درجة ال FC1 جاي جاي على
+
+106
+00:14:50,350 --> 00:14:55,670
+الشمال ال reference pointمعناته كل ال couple
+
+107
+00:14:55,670 --> 00:14:59,730
+vectors due to other forces اللي على يمين ال
+
+108
+00:14:59,730 --> 00:15:07,450
+reference plane هلفها ناقص تسعين درجة يعني كل ال
+
+109
+00:15:07,450 --> 00:15:11,730
+couples due to centrifugal forces على شمال ال
+
+110
+00:15:11,730 --> 00:15:13,970
+reference plane هلفها تسعين درجة بعكس عقارة
+
+111
+00:15:13,970 --> 00:15:19,740
+بالساعةوكل ال couple ال forces جاية على يمين ال
+
+112
+00:15:19,740 --> 00:15:23,580
+reference plane بلفها تسعين درجة باتجاه عقارب
+
+113
+00:15:23,580 --> 00:15:28,040
+الساعة يعني fc1 جاية على شمال reference plane
+
+114
+00:15:28,040 --> 00:15:34,360
+بلفها تسعين درجة بيعطينا ال couple واحد هاي
+
+115
+00:15:34,360 --> 00:15:42,020
+ال couple واحد هذا fc هذا
+
+116
+00:15:42,020 --> 00:15:42,920
+c واحد
+
+117
+00:15:57,170 --> 00:16:05,450
+الـ Central force بتاعة اتنين هايها هاتنين نذكرها
+
+118
+00:16:05,450 --> 00:16:10,190
+المعناته
+
+119
+00:16:10,190 --> 00:16:14,650
+هلفها كأنا زي هيك هذه
+
+120
+00:16:14,650 --> 00:16:20,090
+FC2 لفت تسعين درجة باتجاه القرص هذه C2
+
+121
+00:16:26,110 --> 00:16:33,770
+كان ازاي هيك هاي F C تلاتة
+
+122
+00:16:33,770 --> 00:16:42,310
+لفت تسعين درجة باتجاه عقارب الساعة حصلت
+
+123
+00:16:42,310 --> 00:16:46,310
+C تلاتة F C أربعة
+
+124
+00:16:58,740 --> 00:17:07,300
+هيها هذه fc4 لفت 90 درجة باتجاه عقارب الساعة حصلت
+
+125
+00:17:07,300 --> 00:17:16,820
+c4 ماشي لان فهمنا كيف نجيب ال couple vectors اللي
+
+126
+00:17:16,820 --> 00:17:21,500
+هسوي هاخد ال couple vectors هذا
+
+127
+00:17:24,760 --> 00:17:28,700
+هو لفه تسعين درجة بعكس عقار الساعة يعني كله هلفوا
+
+128
+00:17:28,700 --> 00:17:32,660
+هك تسعين درجة بعكس عقار الساعة مانا ال C1 is لما
+
+129
+00:17:32,660 --> 00:17:37,860
+ملفه كان هنا بصير هاي C1 بعد اللف هلفهم كلهم مع
+
+130
+00:17:37,860 --> 00:17:47,580
+بعض هاي C1 لفته تسعين درجة بعكس عقار الساعة و C2
+
+131
+00:17:47,580 --> 00:17:49,660
+لما لفه تسعين درجة هصير زي هك
+
+132
+00:17:52,400 --> 00:17:57,900
+C2 تسعين درجة بعكس عقار الساعة وC3 تسعين درجة عكس
+
+133
+00:17:57,900 --> 00:18:06,060
+عقار الساعة وC4
+
+134
+00:18:06,060 --> 00:18:20,800
+تسعين درجة بعكس عقار الساعة نذكر
+
+135
+00:18:22,100 --> 00:18:26,140
+هذا عملية بعد ما لفنا ال couples حصرت اندي هاي ال
+
+136
+00:18:26,140 --> 00:18:35,760
+FC1 عكس ال FC1 هاي ال FC1 ال
+
+137
+00:18:35,760 --> 00:18:42,300
+FC2 جاية هاي ال FC2 وهاي
+
+138
+00:18:42,300 --> 00:18:45,580
+ال
+
+139
+00:18:45,580 --> 00:18:51,300
+FC3 وهاي
+
+140
+00:18:54,120 --> 00:19:00,340
+الـ FC أربعة
+
+141
+00:19:00,340 --> 00:19:05,240
+هاي
+
+142
+00:19:05,240 --> 00:19:10,640
+ال FC أربعة الان كل العملية هادة عشان أسهل الشغل
+
+143
+00:19:14,130 --> 00:19:19,330
+انا معتبر .. معتبر كأنه .. كأنه ال couples بتأثر
+
+144
+00:19:19,330 --> 00:19:21,910
+في هذه الاتجاهات لكن هي حقيقة لأ هي اتجاهاتها
+
+145
+00:19:21,910 --> 00:19:26,330
+الحقيقية بس انا اللي سويته لفيته تسعين درجة بعكس
+
+146
+00:19:26,330 --> 00:19:29,270
+عقارب الساعة لفيت كل ال couples اعطتني هذه النتيجة
+
+147
+00:19:29,270 --> 00:19:34,650
+ليش؟ اذا كنتإذا كنت ال centrifugal force جاية على
+
+148
+00:19:34,650 --> 00:19:40,570
+شمال ال reference plane بيكون ال C1 بحطها عكس ال
+
+149
+00:19:40,570 --> 00:19:46,370
+Fc1 إذا كنت على يمين ال
+
+150
+00:19:46,370 --> 00:19:50,890
+reference plane بحط ال couple force بنفس اتجاه
+
+151
+00:19:50,890 --> 00:19:58,360
+centrifugal force يعني إذا أنت كنت على شمالال
+
+152
+00:19:58,360 --> 00:20:05,100
+reference plane بحط ال couple معاكس ال centrifugal
+
+153
+00:20:05,100 --> 00:20:09,300
+force اذا كنت على يمين ال reference plane بحط
+
+154
+00:20:09,300 --> 00:20:14,420
+اتجاه ال couple في نفس اتجاه ال centrifugal force
+
+155
+00:20:14,420 --> 00:20:21,940
+هيك بيسهل الشغل كتير طبعا
+
+156
+00:20:21,940 --> 00:20:28,780
+الفكرة في الآخر هحكي صمم عشانof forces بالساوية
+
+157
+00:20:28,780 --> 00:20:35,460
+zero و summation of moments بالساوية zero and
+
+158
+00:20:35,460 --> 00:20:48,780
+solve طبعا four equations هيك ببساطة نشوف
+
+159
+00:20:48,780 --> 00:20:50,140
+نحل example
+
+160
+00:20:54,590 --> 00:20:55,490
+مسألة عملية
+
+161
+00:21:45,810 --> 00:21:54,130
+طيب عندي shaft بيحمل masses a و b و c و d masses a
+
+162
+00:21:54,130 --> 00:22:01,010
+و b و c و d a shaft carries four masses a b c and
+
+163
+00:22:01,010 --> 00:22:05,310
+d of magnitude يعني ماعطين ال mass عندي هنا عندي a
+
+164
+00:22:12,500 --> 00:22:17,960
+عند حرتبهم a x
+
+165
+00:22:17,960 --> 00:22:33,900
+b c y d a
+
+166
+00:22:33,900 --> 00:22:37,000
+shaft carries four masses a b c and e of magnitude
+
+167
+00:22:37,000 --> 00:22:38,920
+a كتلتها متين كيلو جرام
+
+168
+00:22:42,400 --> 00:22:48,040
+B تلاتمية كيلو جرام C
+
+169
+00:22:48,040 --> 00:22:54,260
+أربع مية وD
+
+170
+00:22:54,260 --> 00:23:00,380
+متين respectively
+
+171
+00:23:00,380 --> 00:23:08,020
+and revolving at red eye بدور عند red eye او راح
+
+172
+00:23:08,020 --> 00:23:09,340
+ال A تمانين
+
+173
+00:23:12,930 --> 00:23:18,330
+و ال B سبعين و
+
+174
+00:23:18,330 --> 00:23:28,190
+ال C ستين و ال D تمانين انا بعب في جدول in planes
+
+175
+00:23:28,190 --> 00:23:34,730
+measured from A على مستويات عن تلت مية اربعمية
+
+176
+00:23:34,730 --> 00:23:48,430
+سبعمية يعني هي يعني Bبتبعد تلت مية يعني A و C
+
+177
+00:23:48,430 --> 00:23:52,990
+بتبعد أربع مية و D بتبعد سبع مية يعني تلت مية و
+
+178
+00:23:52,990 --> 00:24:02,330
+أربع مية و سبع مية نرجع لها بعدين هادى
+
+179
+00:24:02,330 --> 00:24:06,570
+the angles between the cranks measured
+
+180
+00:24:06,570 --> 00:24:10,590
+anticlockwise are a to b الزوايا
+
+181
+00:24:13,650 --> 00:24:19,930
+الزاوية عندى اول شي a زاوية مع ال x axis صفر
+
+182
+00:24:19,930 --> 00:24:25,110
+الزاوية
+
+183
+00:24:25,110 --> 00:24:29,630
+من a و b خمسة واربعين معناه تتا اتنين هتكون تتا b
+
+184
+00:24:29,630 --> 00:24:37,590
+هتكون اكم خمسة واربعين درجة تتا b هتكون خمسة
+
+185
+00:24:37,590 --> 00:24:39,670
+واربعين درجة
+
+186
+00:24:41,930 --> 00:24:46,590
+بين بي و سي سبعين
+
+187
+00:24:46,590 --> 00:24:51,730
+يعني من ال X X هتكون سبعين زي خمسة واربعين مية و
+
+188
+00:24:51,730 --> 00:25:01,590
+خمس تاش و
+
+189
+00:25:01,590 --> 00:25:10,150
+بين سي و دي مية و عشرينيعني هتكون مية و خمس أسطاش
+
+190
+00:25:10,150 --> 00:25:14,850
+زاد مية و عشرين أكم مية و خمس أسطاش زاد مية و
+
+191
+00:25:14,850 --> 00:25:23,590
+عشرين خمسة متين و خمس و تلاتين هذا متين
+
+192
+00:25:23,590 --> 00:25:36,630
+و خمس و تلاتين طيب
+
+193
+00:25:39,080 --> 00:25:43,120
+The balancing masses are to be placed in planes X
+
+194
+00:25:43,120 --> 00:25:51,040
+and Y هحط كتلتين للتوزين عند المستوى X و Y
+
+195
+00:26:11,880 --> 00:26:19,740
+معطيل المسافات يعني عندى ال distance بين a و x
+
+196
+00:26:19,740 --> 00:26:25,960
+اللى هى ال reference هعتبرها هده ال reference هده
+
+197
+00:26:25,960 --> 00:26:27,180
+ال reference
+
+198
+00:26:36,480 --> 00:26:42,500
+هتكون a جاية على الشمال معناته بالسالب هتكون ناقص
+
+199
+00:26:42,500 --> 00:26:54,920
+مية مية ملي خليني
+
+200
+00:26:54,920 --> 00:26:59,460
+احكيش نشتغل متر ناقص
+
+201
+00:27:01,420 --> 00:27:15,960
+على الف point one ال X ما هي ال reference Zero بين
+
+202
+00:27:15,960 --> 00:27:27,500
+B و X هتكون تلت مية ناقص مية متين بين
+
+203
+00:27:27,500 --> 00:27:42,660
+Cو X هتكون أربعمية ناقص مية تلت مية بين
+
+204
+00:27:42,660 --> 00:27:57,920
+X و Y هذه Y هذه خمسمية ناقص مية أربعمية بين
+
+205
+00:27:57,920 --> 00:28:16,610
+D و Xهذه سبعمية ناقص مية ستمية طيب
+
+206
+00:28:16,610 --> 00:28:20,190
+if
+
+207
+00:28:20,190 --> 00:28:25,830
+the revolving if the balancing massesالكتر اللي
+
+208
+00:28:25,830 --> 00:28:29,450
+عند x و y اللي هستخدمه للتوزين يتطور في عرض 100
+
+209
+00:28:29,450 --> 00:28:36,910
+ملي متر اذا كان عرض x 100 ملي متر 100 ملي يعني
+
+210
+00:28:36,910 --> 00:28:43,550
+هيكون عرض هذا 100 ملي متر وهذا
+
+211
+00:28:43,550 --> 00:28:48,650
+100 ملي متر خلينا
+
+212
+00:28:48,650 --> 00:28:49,950
+نحول هذه القيم كلها
+
+213
+00:28:53,670 --> 00:29:00,530
+الميتر point o تمانية point
+
+214
+00:29:00,530 --> 00:29:06,190
+one وهذه
+
+215
+00:29:06,190 --> 00:29:13,450
+point o seven وهذه
+
+216
+00:29:13,450 --> 00:29:20,990
+point o ستة وهذه
+
+217
+00:29:20,990 --> 00:29:21,690
+point one
+
+218
+00:29:26,880 --> 00:29:33,520
+ها دي point o8 point
+
+219
+00:29:33,520 --> 00:29:38,740
+o8 find
+
+220
+00:29:38,740 --> 00:29:49,420
+their magnitudes يعني انا عندى مجهول هنا بدي
+
+221
+00:29:49,420 --> 00:29:54,380
+M X و M Y او بدي Theta X
+
+222
+00:29:57,910 --> 00:30:07,610
+و theta y لأنها أربع مجاهيل خلّيني
+
+223
+00:30:07,610 --> 00:30:13,210
+اوجد ال force للكل omega square يعني هضرب هدى بهدى
+
+224
+00:30:13,210 --> 00:30:22,250
+200 200 في 8 على 100 يعني 200 على 100 أكام؟ 2 في 8
+
+225
+00:30:22,250 --> 00:30:33,910
+هو 16 هذا هتطلع ع بالجدولةهذه هتكون هسميها MX MX
+
+226
+00:30:33,910 --> 00:30:50,130
+هذه هتكون point واحد M هين هتكون واحد وعشرين وهين
+
+227
+00:30:50,130 --> 00:30:55,150
+اربعة وعشرين وهين هدي MY
+
+228
+00:31:01,110 --> 00:31:19,330
+point واحد M Y وهين ستاش طيب
+
+229
+00:31:19,330 --> 00:31:26,330
+عند
+
+230
+00:31:26,330 --> 00:31:35,490
+هنا حضروا في ال Lعند 16.1 هتكون minus واحد
+
+231
+00:31:35,490 --> 00:31:43,710
+point ستة هين صفر اخليني
+
+232
+00:31:43,710 --> 00:31:51,790
+برضه احولها ل متر هذه اتنين من عشرة هذه
+
+233
+00:31:51,790 --> 00:31:52,810
+تلاتة من عشرة
+
+234
+00:31:57,290 --> 00:32:02,210
+و هذه أربعة من عشرة و
+
+235
+00:32:02,210 --> 00:32:09,390
+هذه ستة من عشرة هكون
+
+236
+00:32:09,390 --> 00:32:14,390
+عندي واحد و عشرين في اتنين في point اتنين اتنين و
+
+237
+00:32:14,390 --> 00:32:20,330
+اربع point اتنين هذا ال couple عندي هنا
+
+238
+00:32:23,530 --> 00:32:30,730
+سبعة point two point
+
+239
+00:32:30,730 --> 00:32:35,650
+four
+
+240
+00:32:35,650 --> 00:32:39,590
+MY
+
+241
+00:32:39,590 --> 00:32:45,550
+تسعة
+
+242
+00:32:45,550 --> 00:32:49,030
+point ستة
+
+243
+00:33:02,170 --> 00:33:08,670
+هرصم ال .. ال .. هرصم ال
+
+244
+00:33:08,670 --> 00:33:18,230
+central force polygon هرصم
+
+245
+00:33:18,230 --> 00:33:25,010
+ال central force polygon عندي ال FC1 هاي ال FC1
+
+246
+00:33:25,010 --> 00:33:29,010
+فدي
+
+247
+00:33:29,010 --> 00:33:30,630
+FCA ده اسمه FCA
+
+248
+00:33:39,400 --> 00:33:52,500
+بعدين fcb وين fcb تعمل خمس و أربعين درجة fcb
+
+249
+00:33:52,500 --> 00:33:58,920
+هذا الزوايا خمس و أربعين درجة بعدين
+
+250
+00:33:58,920 --> 00:34:03,220
+fcc تعمل مية و خمستاشر درجة
+
+251
+00:34:14,790 --> 00:34:29,010
+FCC بتعمل 115 درجة بعدين
+
+252
+00:34:29,010 --> 00:34:34,730
+FCD تعمل
+
+253
+00:34:34,730 --> 00:34:37,550
+235 درجة 180
+
+254
+00:34:51,760 --> 00:35:01,220
+وها دي fc دي أدزاها كلها متين
+
+255
+00:35:01,220 --> 00:35:08,080
+وخمس وخمسين او متين وخمس وتلاتين درجة متين
+
+256
+00:35:08,080 --> 00:35:12,060
+وخمس تلاتين درجة
+
+257
+00:35:15,350 --> 00:35:20,430
+هذا ال .. ال central force diagram بدي اعمل ال
+
+258
+00:35:20,430 --> 00:35:25,010
+couple diagram couple diagram couple
+
+259
+00:35:25,010 --> 00:35:30,050
+diagram هكون نفسه بس ال forces اللي ع شمال ال
+
+260
+00:35:30,050 --> 00:35:34,270
+reference هتكون عكسها يعني هحاجي اعمل هنا عندي هنا
+
+261
+00:35:34,270 --> 00:35:38,010
+عندي
+
+262
+00:35:38,010 --> 00:35:55,270
+Fc Ca عكس هذهCB في نفس اتجاه جهة عاليمين CB وبيعمل
+
+263
+00:35:55,270 --> 00:36:01,190
+زاوية خمسة واربعين و
+
+264
+00:36:01,190 --> 00:36:06,950
+CC بيعمل
+
+265
+00:36:06,950 --> 00:36:12,610
+زاوية مية و خمس عشر و CD
+
+266
+00:36:19,420 --> 00:36:23,580
+بعمل زاوية مئتين
+
+267
+00:36:23,580 --> 00:36:30,600
+وخمس و تلاتين مضال عندي هنا في ال couples C X في
+
+268
+00:36:30,600 --> 00:36:36,660
+عندي اللي هي اللي
+
+269
+00:36:36,660 --> 00:36:46,670
+هي Cاللي هي CY CY مش عارف CY أيه اتجاهها تكون CY
+
+270
+00:36:46,670 --> 00:36:57,010
+هكون مركبتين CY X هكون دي CY
+
+271
+00:36:57,010 --> 00:37:02,910
+CY capital CY
+
+272
+00:37:02,910 --> 00:37:09,030
+capital باتجاه ال X أنا مش عارف اتجاهها حاليا و CY
+
+273
+00:37:12,690 --> 00:37:16,550
+y هذا هو ال polygon هذا هبدأ في ال .. في ايه اش؟
+
+274
+00:37:16,550 --> 00:37:22,130
+في ال polygon بتاع .. في ال polygon بتاع ال .. ال
+
+275
+00:37:22,130 --> 00:37:29,650
+.. ال couples هحكي summation of couples هيكون
+
+276
+00:37:29,650 --> 00:37:34,290
+الساوية zero هحكي
+
+277
+00:37:34,290 --> 00:37:39,130
+summation of c .. c capital x .. x capital zero
+
+278
+00:37:39,130 --> 00:37:40,210
+المعنى انها هيكون الساوية عندى
+
+279
+00:37:44,910 --> 00:37:51,030
+بالنسبة ل a هتكون minus واحد وستة من عشرة cosine
+
+280
+00:37:51,030 --> 00:37:59,870
+theta a يعني هتكون minus واحد وستة من عشرة x
+
+281
+00:37:59,870 --> 00:38:05,530
+zero b
+
+282
+00:38:05,530 --> 00:38:11,730
+زائد اربع point اتنين cosine
+
+283
+00:38:11,730 --> 00:38:12,850
+الخمسة واربعين
+
+284
+00:38:16,920 --> 00:38:29,420
+زائد سبعة point اتنين cosine المية وخمستاش زائد
+
+285
+00:38:29,420 --> 00:38:35,700
+ده سامعها cyx زائد cyx
+
+286
+00:38:35,700 --> 00:38:39,160
+من هذه المعادلة لاحظوش ان ده مجهو غير بحسب cyx
+
+287
+00:38:39,160 --> 00:38:43,060
+بحسب cyx بحسبها
+
+288
+00:38:45,850 --> 00:38:50,870
+بعدين برجع احكي summation الى c باتجاه ال y
+
+289
+00:38:50,870 --> 00:38:55,910
+بالساوة zero هيكون
+
+290
+00:38:55,910 --> 00:38:59,670
+عندي هذه الزاوية تاعتها سفر وانت هتكون مراكب لها
+
+291
+00:38:59,670 --> 00:39:06,730
+سفر زائد سفر زاد
+
+292
+00:39:06,730 --> 00:39:11,730
+اربعة point اتنين صين
+
+293
+00:39:11,730 --> 00:39:20,470
+الخمسة واربعينزائد سبعة point اتنين ساين
+
+294
+00:39:20,470 --> 00:39:33,370
+المية و خمس استاش زائد C Y capital و Y زائد
+
+295
+00:39:33,370 --> 00:39:42,370
+تسعة point ستة في احنا نسينا شغله هين هين
+
+296
+00:39:45,720 --> 00:39:53,000
+هذه زائد تسعة بون ستة cosine
+
+297
+00:39:53,000 --> 00:39:59,940
+المتين و خمس و تلاتين و منها بنحسب C capital Y X
+
+298
+00:39:59,940 --> 00:40:08,160
+زائد تسعة بون ستة sine المتين
+
+299
+00:40:08,160 --> 00:40:13,280
+و خمسة و تلاتين درجة و منها باحسب
+
+300
+00:40:24,380 --> 00:40:32,040
+الان ال CYX ال
+
+301
+00:40:32,040 --> 00:40:37,200
+CYX already معروف بساطة ال CYX
+
+302
+00:40:41,710 --> 00:40:51,370
+بتساوي point O for MY point for O for MY
+
+303
+00:40:51,370 --> 00:41:00,070
+ومنها بحسب ال M Y و
+
+304
+00:41:00,070 --> 00:41:09,390
+ال C Y capital Y اللي حسبناها من هنا بتساوي
+
+305
+00:41:12,170 --> 00:41:19,130
+لحظة هنا فيش غلط لأ
+
+306
+00:41:19,130 --> 00:41:27,070
+حسبت الـCYX وCYY بحسب بعدين باجه كده CY capital
+
+307
+00:41:27,070 --> 00:41:33,070
+بالساوية جزر التربية لCY
+
+308
+00:41:33,070 --> 00:41:40,790
+capital X تربية زاد CYY تربية بالساوية
+
+309
+00:41:43,250 --> 00:41:51,770
+هيك حسبنا الـCY Capital الـCY Capital بتساوي
+
+310
+00:41:51,770 --> 00:41:56,450
+point O for
+
+311
+00:41:56,450 --> 00:42:09,850
+MY Capital ومنها بأحسب اللي هي الـMY هيك بحسب
+
+312
+00:42:09,850 --> 00:42:10,430
+الـMY
+
+313
+00:42:16,700 --> 00:42:23,120
+once حسبة الاموع بيجي على العمود هذا بيجي احكي
+
+314
+00:42:23,120 --> 00:42:28,200
+sumational forces باتجاه ال X لان خلصنا ال couple
+
+315
+00:42:28,200 --> 00:42:34,760
+بيجي احكي sumational forces باتجاه
+
+316
+00:42:34,760 --> 00:42:43,820
+ال X بالساوية Zero هتساوية ستاش كسان Zero ستاش
+
+317
+00:42:46,330 --> 00:42:59,150
+زاد هذا زاد هيكون زاد زاد اف اكس capital زاد
+
+318
+00:42:59,150 --> 00:43:09,070
+اف اكس capital زاد
+
+319
+00:43:11,020 --> 00:43:16,040
+الـ FB اللي هي واحد و عشرين كوصين الخمسة و أربعين
+
+320
+00:43:16,040 --> 00:43:27,600
+كوصين الخمسة و أربعين زاد الأربع و عشرين أربع
+
+321
+00:43:27,600 --> 00:43:31,900
+و عشرين كوصين المية و خمستاشر
+
+322
+00:43:43,240 --> 00:43:47,620
+زائد انا ردي حسبت ال point واحد MY MY صارت معروف
+
+323
+00:43:47,620 --> 00:43:52,980
+عن دي الزاوية بتاعتها دي زاوية بتاعة تيتا Y تيتا Y
+
+324
+00:43:52,980 --> 00:43:57,740
+بدي احكي تيتا Y هنا خلينا ناخد عجند تيتا Y
+
+325
+00:43:57,740 --> 00:44:03,640
+بالساوية Tan inverse ل
+
+326
+00:44:03,640 --> 00:44:17,860
+C Y Yعلى CYX يعني صارت theta Y معروفة theta Y صارت
+
+327
+00:44:17,860 --> 00:44:23,240
+معروفة عندي زائد point واحد زائد point واحد هنا
+
+328
+00:44:23,240 --> 00:44:29,620
+نكمل point واحد MY معروف عندي point واحد MY cosine
+
+329
+00:44:29,620 --> 00:44:31,940
+theta Y
+
+330
+00:44:37,350 --> 00:44:41,970
+زائد ستاش cosine
+
+331
+00:44:41,970 --> 00:45:02,650
+متين و خمس و تلاتين درجة و منها باحسب ال Fx بعد
+
+332
+00:45:02,650 --> 00:45:11,400
+ان احكي summationلل fy بيساوي سفر هدا هتكون عندى
+
+333
+00:45:11,400 --> 00:45:22,160
+سفر هتساوي سفر زاد fy زاد
+
+334
+00:45:22,160 --> 00:45:30,900
+واحد وعشرين sign الخمسة واربعين زاد اربع وعشرين
+
+335
+00:45:30,900 --> 00:45:41,390
+sign المية وخمستاشزائد point واحد my
+
+336
+00:45:41,390 --> 00:45:53,810
+sin θ y زائد ستاش sin ال متين و خمس و تلاتين درجة
+
+337
+00:45:53,810 --> 00:46:00,210
+و منها باحسب ال fy منها
+
+338
+00:46:00,210 --> 00:46:01,510
+باحسب ال fy
+
+339
+00:46:06,370 --> 00:46:14,950
+انا بعسب ال fy طيب
+
+340
+00:46:14,950 --> 00:46:19,950
+لسه ماحسبتش ال m ال mx
+
+341
+00:46:26,920 --> 00:46:31,780
+معناته حاجة احكي انا point واحد point واحد point
+
+342
+00:46:31,780 --> 00:46:35,200
+واحد point واحد point واحد point واحد point واحد
+
+343
+00:46:35,200 --> 00:46:36,220
+point واحد point واحد point واحد point واحد point
+
+344
+00:46:36,220 --> 00:46:40,740
+واحد point واحد point واحد point واحد point واحد
+
+345
+00:46:40,740 --> 00:46:43,000
+point واحد point واحد point واحد point واحد point
+
+346
+00:46:43,000 --> 00:46:43,020
+واحد point واحد point واحد point واحد point واحد
+
+347
+00:46:43,020 --> 00:46:44,480
+point واحد point واحد point واحد point واحد point
+
+348
+00:46:44,480 --> 00:46:44,720
+واحد point واحد point واحد point واحد point واحد
+
+349
+00:46:44,720 --> 00:46:46,260
+point واحد point واحد point واحد point واحد point
+
+350
+00:46:46,260 --> 00:46:47,760
+واحد point واحد point واحد point واحد point واحد
+
+351
+00:46:47,760 --> 00:46:47,760
+point واحد point واحد point واحد point واحد point
+
+352
+00:46:47,760 --> 00:46:47,760
+واحد point واحد point واحد point واحد point واحد
+
+353
+00:46:47,760 --> 00:46:47,760
+point واحد point واحد point واحد point واحد point
+
+354
+00:46:47,760 --> 00:46:47,760
+واحد point واحد point واحد point واحد point واحد
+
+355
+00:46:47,760 --> 00:46:47,760
+point واحد point واحد point واحد point واحد point
+
+356
+00:46:47,760 --> 00:46:51,440
+واحد point واحد point واحد point واحد point
+
+357
+00:46:51,440 --> 00:46:52,660
+واحد point
+
+358
+00:47:15,180 --> 00:47:21,170
+بالطريقة هذه احنا حسبناقيمة الكتلة عند X والكتلة
+
+359
+00:47:21,170 --> 00:47:28,430
+عند Y اللى بوزن الكتل A وB وC وD بحيث ان كتلة X
+
+360
+00:47:28,430 --> 00:47:34,530
+بعيدة نص كتر أبونت واحد وكتلة Y جاية نص كتر أبونت
+
+361
+00:47:34,530 --> 00:47:38,810
+واحد بهذه الطريقة احنا استطعنا توزين اربع كتل
+
+362
+00:47:38,810 --> 00:47:45,370
+باستخدام كتلتين هيك يكون انهينا الشبطر، اعطيكوا
+
+363
+00:47:45,370 --> 00:47:46,550
+العفو، السلام عليكم
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EKZSHpXvNks.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EKZSHpXvNks.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2459cc53bc5df64ebdc77affd1f7cbafa5b1a43c
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EKZSHpXvNks.srt
@@ -0,0 +1,746 @@
+1
+00:00:04,940 --> 00:00:07,900
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,900 --> 00:00:12,260
+وبركاته اليوم هنكمل في مادة نظرية الآلات، هنخش على
+
+3
+00:00:12,260 --> 00:00:15,660
+Chapter جديد بعنوان اللي هو mechanisms with lower
+
+4
+00:00:15,660 --> 00:00:22,190
+pairs. هنبدأ ببعض التعريفات في ال lower pair. الـ
+
+5
+00:00:22,190 --> 00:00:25,910
+two elements المكونين للـ pair بيكون نوع التلامس
+
+6
+00:00:25,910 --> 00:00:30,050
+بينهم تلامس سطحي، وفي حركة نسبية بالنسبة للجزءين
+
+7
+00:00:30,050 --> 00:00:34,950
+المكونين للـ pair، يعني جزء أو element بتحرك بالنسبة
+
+8
+00:00:34,950 --> 00:00:39,330
+للتاني، يعني في عندي sliding of one element over
+
+9
+00:00:39,330 --> 00:00:44,250
+the surface of the other element. هنبدأ نتعرف على
+
+10
+00:00:44,250 --> 00:00:49,750
+بعض الآليات زي الـ pantograph. الـ pentagraph هو جهاز
+
+11
+00:00:49,750 --> 00:00:57,490
+يستخدم لتكبير أو تصغير مسار معين. الـ pentagraph
+
+12
+00:00:57,490 --> 00:01:07,470
+بشكلِه البسيط مكون من أربعة أجزاء، عند محور دوران O، عند
+
+13
+00:01:07,470 --> 00:01:15,430
+الدراع one link عند A، بي عند هنا revolute joint،
+
+14
+00:01:15,430 --> 00:01:22,550
+وهنا revolute joint. عندي كمان دراع C،
+
+15
+00:01:22,550 --> 00:01:30,250
+وهنا عندي D.
+
+16
+00:01:30,250 --> 00:01:37,190
+الـ
+
+17
+00:01:37,190 --> 00:01:41,470
+bars BA
+
+18
+00:01:42,290 --> 00:01:49,550
+مدّنها لنقطة O، والـ bar BC مدّنها لنقطة E بحيث
+
+19
+00:01:49,550 --> 00:01:57,330
+أن OA على
+
+20
+00:01:57,330 --> 00:02:01,210
+OB يساوي
+
+21
+00:02:01,210 --> 00:02:05,870
+AD على
+
+22
+00:02:05,870 --> 00:02:15,920
+BC. يعني لاحظوا أنه كمعنى عندي AB يساوي
+
+23
+00:02:15,920 --> 00:02:22,220
+BC يساوي CD يساوي DA.
+
+24
+00:02:26,740 --> 00:02:30,920
+يعني الآلية هذه عملت بحيث أنه شكلت مثلثين
+
+25
+00:02:30,920 --> 00:02:39,560
+متشابهين، المثلث OAD والمثلث OBE مثلثين متشابهين.
+
+26
+00:02:52,190 --> 00:02:56,290
+الآن، for all positions، إذا بدأت الآلية، بدأت
+
+27
+00:02:56,290 --> 00:03:01,030
+أنا أحرك مثلاً نقطة D، أحرك نقطة D في مسار معين، بما
+
+28
+00:03:01,030 --> 00:03:06,430
+أن المثلثين OAD والمثلث OBE، دائماً نقطة E
+
+29
+00:03:06,430 --> 00:03:14,710
+هتتبع D. طبعاً E أبعد، هتكبر حركة E، هتكبر حركة D، لكن
+
+30
+00:03:14,710 --> 00:03:19,850
+لو كان مصدر الـ input عند E، وأنا بدي D، هتكون D
+
+31
+00:03:19,850 --> 00:03:21,430
+تصغيراً لـ E.
+
+32
+00:03:26,380 --> 00:03:30,920
+هذه تسمى الـ pantograph، يعني تستخدم عشان أصغر أو
+
+33
+00:03:30,920 --> 00:03:43,400
+أكبر مسار معين، يعني نقطة D مشت على هذا المسار، نقطة
+
+34
+00:03:43,400 --> 00:03:51,260
+E هتمشي على نفس شكل المسار، بس على أكبر، هتمشي
+
+35
+00:03:51,260 --> 00:03:54,740
+على نفس شكل المسار، بس بحجم أكبر.
+
+36
+00:04:06,740 --> 00:04:11,600
+طيب، الآن هنتعرف على الـ theory، نظرية الـ exact
+
+37
+00:04:11,600 --> 00:04:15,480
+straight line motion mechanism made up of turning
+
+38
+00:04:15,480 --> 00:04:20,640
+pairs. هنتعرف على نظرية الآليات اللي بتعطيني حركة
+
+39
+00:04:20,640 --> 00:04:26,760
+على خط مستقيم، وكل الـ pairs معمولة من turning
+
+40
+00:04:26,760 --> 00:04:28,020
+pairs أو revolute pairs.
+
+41
+00:04:32,820 --> 00:04:45,820
+عندي دائرة، هنكت
+
+42
+00:04:45,820 --> 00:04:54,080
+بـ O و P، P
+
+43
+00:04:54,080 --> 00:04:59,000
+مثل قطر الدائرة، و
+
+44
+00:04:59,000 --> 00:04:59,700
+OA
+
+45
+00:05:08,760 --> 00:05:15,620
+chord، و AP هتكون برضه chord. بما أن هذا OA، OP
+
+46
+00:05:15,620 --> 00:05:25,180
+قطر، معناته هتكون هتكون تسعين درجة. همد
+
+47
+00:05:25,180 --> 00:05:29,200
+OA لنقطة P.
+
+48
+00:05:42,510 --> 00:05:55,430
+وأُسقِط من B عمودي على OB، مديت
+
+49
+00:05:55,430 --> 00:06:05,650
+OA لحد نقطة B بحيث مديته بحيث أن حاصل ضرب OA في OB
+
+50
+00:06:05,650 --> 00:06:07,790
+يساوي ثابتاً.
+
+51
+00:06:11,470 --> 00:06:17,210
+مديت OA بحيث
+
+52
+00:06:17,210 --> 00:06:24,710
+تكون حاصل ضرب OA في OB قيمة ثابتة، وبعدين عملت
+
+53
+00:06:24,710 --> 00:06:39,770
+عمودي من B على OP، بيتقاطع من OP في نقطة Q. لاحظوا
+
+54
+00:06:39,770 --> 00:06:40,690
+المثلثين
+
+55
+00:06:46,600 --> 00:06:56,620
+المثلثين OAP و
+
+56
+00:06:56,620 --> 00:07:00,260
+OQB
+
+57
+00:07:00,260 --> 00:07:05,280
+متشابهين.
+
+58
+00:07:05,280 --> 00:07:15,130
+متشابهين، similar. ليش؟ الزاوية هذه مشتركة بين الاثنين،
+
+59
+00:07:15,130 --> 00:07:22,370
+والزاوية هذه بتساوي
+
+60
+00:07:22,370 --> 00:07:27,130
+الزاوية هذه، والزاوية هذه تسعين درجة، وهذه تسعين
+
+61
+00:07:27,130 --> 00:07:34,110
+درجة. معناته المثلثين، إذا عندي زاوية مشتركة في زاويتيْن
+
+62
+00:07:34,110 --> 00:07:37,870
+الاثنين، معناته الزاوية هذه تساوي هذه، ثلاث زوايا
+
+63
+00:07:37,870 --> 00:07:41,770
+متساوية، معناته المثلثين متشابهين. نتيجة التشابه، هيكون
+
+64
+00:07:41,770 --> 00:07:47,570
+عندي OA على
+
+65
+00:07:47,570 --> 00:07:53,790
+OB يساوي
+
+66
+00:07:53,790 --> 00:07:54,310
+OQ على
+
+67
+00:08:02,130 --> 00:08:09,630
+OP. لو
+
+68
+00:08:09,630 --> 00:08:14,750
+ضربت، عملت cross، عندي OA في OQ بتساوي
+
+69
+00:08:14,750 --> 00:08:27,350
+OA في OB. يعني لو عملنا cross، قلنا OB في OQ يساوي
+
+70
+00:08:27,350 --> 00:08:36,730
+OA في OB، معناته OQ هي
+
+71
+00:08:36,730 --> 00:08:42,630
+OQ، خدنا الطول، يساوي OA في OB على OP.
+
+72
+00:08:42,630 --> 00:08:55,270
+اتذكروا، إحنا مددنا OA لحد نقطة B بحيث أن OA في OB
+
+73
+00:08:55,270 --> 00:09:05,220
+constant، يعني هنا سيكون عندي إيش؟ constant على
+
+74
+00:09:05,220 --> 00:09:13,360
+OP، مثل قطر الدائرة، قطر الدائرة أيضاً ثابت،
+
+75
+00:09:13,360 --> 00:09:19,580
+constant. معناته constant على constant هيعطينا constant، ثابت.
+
+76
+00:09:19,580 --> 00:09:20,080
+معناته
+
+77
+00:09:25,330 --> 00:09:28,810
+معناته constant على constant هيعطينا constant، ثابت.
+
+78
+00:09:28,810 --> 00:09:32,970
+معناته
+
+79
+00:09:32,970 --> 00:09:36,190
+واضح
+
+80
+00:09:36,190 --> 00:09:46,270
+أن الطول OQ is constant for all positions، معناته
+
+81
+00:09:46,270 --> 00:09:55,930
+نقطة B هتتبع، will trace a straight line. هذا
+
+82
+00:09:55,930 --> 00:09:58,970
+الـ general principle لأي ميكانيزم عشان تـ generate
+
+83
+00:09:58,970 --> 00:10:10,170
+an exact straight line. ميكانيزم، هنشوف
+
+84
+00:10:10,170 --> 00:10:12,150
+ميكانيزم تستخدم هذا الـ principle،
+
+85
+00:10:16,320 --> 00:10:20,160
+اسمها Peaucellier Peaucellier Mechanism.
+
+86
+00:10:20,160 --> 00:10:26,320
+Peaucellier Mechanism. Peaucellier Mechanism.
+
+87
+00:10:26,320 --> 00:10:27,420
+Peaucellier Mechanism. Peaucellier Mechanism. Peaucellier
+
+88
+00:10:27,420 --> 00:10:27,520
+Mechanism. Peaucellier Mechanism. Peaucellier Mechanism.
+
+89
+00:10:27,520 --> 00:10:27,540
+Peaucellier Mechanism. Peaucellier Mechanism. Peaucellier
+
+90
+00:10:27,540 --> 00:10:27,560
+Mechanism. Peaucellier Mechanism. Peaucellier Mechanism.
+
+91
+00:10:27,560 --> 00:10:28,160
+Peaucellier Mechanism. Peaucellier Mechanism. Peaucellier
+
+92
+00:10:28,160 --> 00:10:28,220
+Mechanism. Peaucellier Mechanism. Peaucellier Mechanism.
+
+93
+00:10:28,220 --> 00:10:44,840
+Peaucellier Mechanism. Peaucellier
+
+94
+00:10:51,540 --> 00:11:04,840
+عندي link أو واحد A، هذه A، الـ link أو واحد A، مسموح
+
+95
+00:11:04,840 --> 00:11:11,760
+للدوران حول دائرة هذه، وفي عندي معين، يعني متوازي
+
+96
+00:11:11,760 --> 00:11:19,320
+الأضلاع، أضلاع متساوية. هذه عندي الضلع AC والضلع
+
+97
+00:11:23,430 --> 00:11:32,750
+BC والضلع CD والضلع
+
+98
+00:11:32,750 --> 00:11:38,170
+DA، وفي
+
+99
+00:11:38,170 --> 00:11:49,790
+عندي الـ link AC والـ
+
+100
+00:11:49,790 --> 00:11:50,970
+link OD.
+
+101
+00:11:56,850 --> 00:11:59,790
+هذه الآلية، معناته آلية مكونة من الـ link الأرضي
+
+102
+00:11:59,790 --> 00:12:08,250
+الثابت، هذه الـ link ثابتة، هذه واحد، وهذه اثنين،
+
+103
+00:12:08,250 --> 00:12:19,620
+اعتبرت هذه ثلاثة، هذه أربعة، وخمسة، ستة، سبعة،
+
+104
+00:12:19,620 --> 00:12:24,640
+ثمانية، يعني واحد، اثنين، ثلاثة، أربعة، خمسة، ستة، سبعة،
+
+105
+00:12:24,640 --> 00:12:28,260
+ثمانية، يعني الـ link، يعني ثمانية links، عندي ثمانية
+
+106
+00:12:28,260 --> 00:12:36,280
+links. لاحظوا التالي، الأضلاع
+
+107
+00:12:36,280 --> 00:12:39,420
+طبعاً في عندي هنا revolute joint، عندي revolute
+
+108
+00:12:39,420 --> 00:12:46,620
+joint هنا عند O واحد، وعندي revolute، revolute،
+
+109
+00:12:46,620 --> 00:12:51,900
+revolute، revolute، revolute، revolute، revolute،
+
+110
+00:12:51,900 --> 00:12:56,120
+revolute،
+
+111
+00:12:56,120 --> 00:12:58,820
+revolute، revolute، revolute، revolute، revolute،
+
+112
+00:12:58,820 --> 00:12:58,840
+revolute، revolute، revolute، revolute، revolute،
+
+113
+00:12:58,840 --> 00:12:59,240
+revolute، revolute، revolute، revolute، revolute،
+
+114
+00:12:59,240 --> 00:13:00,580
+revolute، revolute، revolute، revolute، revolute،
+
+115
+00:13:00,580 --> 00:13:03,080
+revolute، revolute، revolute، revolute، revolute،
+
+116
+00:13:03,080 --> 00:13:04,280
+revolute، revolute،
+
+117
+00:13:18,730 --> 00:13:24,470
+الآن، بواسطَة الآلية هذه، إذا حركت الـ link O1A لفت،
+
+118
+00:13:24,470 --> 00:13:31,170
+B will move along a straight line if we rotate O1A.
+
+119
+00:13:31,170 --> 00:13:36,610
+B will move along a straight line. بدنا نثبت إن هذا
+
+120
+00:13:36,610 --> 00:13:44,390
+صحيح. طيب لحظة،
+
+121
+00:13:44,390 --> 00:13:46,090
+نرجع الـ pencil بتاعتنا، عندي هذه دائرة،
+
+122
+00:14:09,960 --> 00:14:20,360
+هي دائرة، وهي
+
+123
+00:14:20,360 --> 00:14:28,300
+chord، أو
+
+124
+00:14:28,300 --> 00:14:32,360
+A، لو
+
+125
+00:14:32,360 --> 00:14:35,120
+مديت A لـ B،
+
+126
+00:14:40,650 --> 00:14:49,970
+يعني حسب الـ slide السابقة، إذا كان عندي ثابت، كان حاصل
+
+127
+00:14:49,970 --> 00:14:59,590
+ضرب OA في OB يساوي constant، معناته
+
+128
+00:14:59,590 --> 00:15:03,890
+point B will
+
+129
+00:15:03,890 --> 00:15:08,790
+move along
+
+130
+00:15:11,080 --> 00:15:19,240
+a straight line. معناته
+
+131
+00:15:19,240 --> 00:15:25,920
+إذا أثبتنا أن OA في OB بثابت، معناته أكيد B هي
+
+132
+00:15:25,920 --> 00:15:32,580
+هتتحرك على خط مستقيم. خلينا نشوف، نمشي، نشوف إيش هو OA
+
+133
+00:15:32,580 --> 00:15:33,280
+في
+
+134
+00:15:37,420 --> 00:15:44,160
+في OB. أنا أبدأ أعرف الشكل هنا، أنا
+
+135
+00:15:44,160 --> 00:15:48,040
+أبدأ أحكي OA في
+
+136
+00:15:48,040 --> 00:15:53,380
+OB، OA
+
+137
+00:15:53,380 --> 00:15:57,000
+في
+
+138
+00:15:57,000 --> 00:16:00,900
+OB. هي OA
+
+139
+00:16:09,030 --> 00:16:19,590
+في نقطة R، R بتمثل نقطة تقاطع قطري المعين. بما أن
+
+140
+00:16:19,590 --> 00:16:23,810
+هذا معين، معناته قطراه دائماً هيكون متعامدين، زي 90
+
+141
+00:16:23,810 --> 00:16:27,770
+درجة. طيب،
+
+142
+00:16:27,770 --> 00:16:36,110
+OA هذا الطول يساوي هذا الطول كله، OR ناقص AR، OA
+
+143
+00:16:36,110 --> 00:16:38,150
+يساوي OR
+
+144
+00:16:41,880 --> 00:16:48,920
+ناقص AR في
+
+145
+00:16:48,920 --> 00:16:55,000
+OB
+
+146
+00:16:55,000 --> 00:17:07,880
+يساوي OR زائد BR، يساوي OR زائد
+
+147
+00:17:07,880 --> 00:17:09,780
+BR.
+
+148
+00:17:15,180 --> 00:17:23,600
+لكن قطري المعين بينصفان بعض، معناته AR يساوي BR، AR
+
+149
+00:17:23,600 --> 00:17:29,420
+يساوي BR يساوي CR يساوي DR. معناته عندي AR
+
+150
+00:17:29,420 --> 00:17:33,240
+يساوي
+
+151
+00:17:33,240 --> 00:17:51,460
+BR يساوي CR يساوي DR. معناته OA في OB هتساوى OR - AR
+
+152
+00:17:51,460 --> 00:17:54,480
+في
+
+153
+00:17:54,480 --> 00:18:02,940
+OR زائد BR. إذا حكينا BR يساوي AR، زائد AR، معناته
+
+154
+00:18:02,940 --> 00:18:08,180
+هتساوى OR تربيع ناقص
+
+155
+00:18:08,180 --> 00:18:12,020
+AR تربيع، فرق بين المربعين.
+
+156
+00:18:17,090 --> 00:18:23,210
+صار عندي OR، خلينا نأخذ المثلث ORD، نأخذ المثلث
+
+157
+00:18:23,210 --> 00:18:29,250
+المثلث ORD.
+
+158
+00:18:29,250 --> 00:18:36,690
+المثلث ORD قائم الزاوية في النقطة R. هذه 90
+
+159
+00:18:36,690 --> 00:18:44,630
+درجة. معناته OR تربيع، هذا الوتر، OR تربيع، OR
+
+160
+00:18:45,930 --> 00:18:56,650
+تربيع هيساوي OD تربيع ناقص DR
+
+161
+00:18:56,650 --> 00:19:02,650
+تربيع. ناقص
+
+162
+00:19:02,650 --> 00:19:11,630
+DR تربيع. نجي لـ AR، نجي
+
+163
+00:19:11,630 --> 00:19:12,050
+لـ AR.
+
+164
+00:19:17,470 --> 00:19:27,810
+AR تربيع، هحكي
+
+165
+00:19:27,810 --> 00:19:35,370
+AR تربيع، نفس الشيء. AR، المثلث، المثلث ARD قائم
+
+166
+00:19:35,370 --> 00:19:43,210
+الزاوية، ARD قائم الزاوية عند R، معناته نستخدم فيه
+
+167
+00:19:43,210 --> 00:19:45,050
+نظرية فيثاغورس، هحكي عندي AR تربيع
+
+168
+00:19:47,640 --> 00:19:59,760
+هيساوي AD تربيع ناقص DR تربيع.
+
+169
+00:19:59,760 --> 00:20:06,920
+خلينا نعوض هنا، المعادلة اللي بيحصل عندي هنا، OA في
+
+170
+00:20:06,920 --> 00:20:14,380
+OB يساوي، إحنا حكيناه يساوي OR تربيع ناقص AR
+
+171
+00:20:15,620 --> 00:20:21,960
+تربيع. نعوض
+
+172
+00:20:21,960 --> 00:20:32,000
+فوق، بدنا نصلح شغلة، أنا عندي هنا AR يساوي PR، بس
+
+173
+00:20:32,000 --> 00:20:38,860
+و CR يساوي
+
+174
+00:20:38,860 --> 00:20:46,550
+DR، هيك صح؟ طيب، لأن عندي OA في OB يساوي OR تربيع
+
+175
+00:20:46,550 --> 00:20:54,910
+نفسها، لأن OR تربيع هي بتساوي OD تربيع ناقص
+
+176
+00:20:54,910 --> 00:21:05,930
+DR تربيع ناقص DR تربيع اللي هو AR تربيع اللي هي
+
+177
+00:21:05,930 --> 00:21:11,250
+عبارة عن AD تربيع ناقص
+
+178
+00:21:11,250 --> 00:21:21,470
+DR تربيع، يعني هتكون تساوي OD تربيع ناقص DR تربيع
+
+179
+00:21:21,470 --> 00:21:31,710
+ناقص AD تربيع زائد DR تربيع ناقص DR تربيع، مع DR
+
+180
+00:21:31,710 --> 00:21:40,690
+تربيع بتروح هذه مع هذه، بتصبح يساوي OD تربيع
+
+181
+00:21:41,820 --> 00:21:56,360
+ناقص AD تربيع، معناته بنخلص إن OA في OB هتساوي OD
+
+182
+00:21:56,360 --> 00:22:07,150
+تربيع ناقص AD تربيع. وين OD؟ هذه OD، وهي دي الـ
+
+183
+00:22:07,150 --> 00:22:13,350
+OD is a link، معناته قيمته ومربعه ومكعبه ثابت، والـ
+
+184
+00:22:13,350 --> 00:22:16,090
+AD is a link، معناته قيمته ثابتة، معناته هذا
+
+185
+00:22:16,090 --> 00:22:23,310
+المقدار كله هذا يساوي constant ناقص constant،
+
+186
+00:22:23,310 --> 00:22:31,370
+ثابت ناقص ثابت، معناته constant، معناته أثبتنا أنه
+
+187
+00:22:31,370 --> 0
\ No newline at end of file
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EKZSHpXvNks_postprocess.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EKZSHpXvNks_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9cdaf202aa611777699e109f4862c8b969fb095c
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EKZSHpXvNks_postprocess.srt
@@ -0,0 +1,776 @@
+1
+00:00:04,940 --> 00:00:07,900
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,900 --> 00:00:12,260
+وبركاته اليوم هنكمل في مادة نظرية الألات هنخش على
+
+3
+00:00:12,260 --> 00:00:15,660
+chapter جديد بعنوان اللي هو mechanisms with lower
+
+4
+00:00:15,660 --> 00:00:22,190
+pairs هنبدأ ببعض التعريفات في ال lower pairال ال
+
+5
+00:00:22,190 --> 00:00:25,910
+two elements المكونين لل pair بيكون نوع التلامس
+
+6
+00:00:25,910 --> 00:00:30,050
+بينهم تلامس سطحي و في حركة نسبية بالنسبة للجزءين
+
+7
+00:00:30,050 --> 00:00:34,950
+المكونين لل pair يعني جزء او element بتحرك بالنسبة
+
+8
+00:00:34,950 --> 00:00:39,330
+للتاني يعني في عندي sliding of one element over
+
+9
+00:00:39,330 --> 00:00:44,250
+the surface of the other element هنبدأ نتعرف على
+
+10
+00:00:44,250 --> 00:00:49,750
+بعض الأليات زي ال pantographال pentagraph هو جهاز
+
+11
+00:00:49,750 --> 00:00:57,490
+يستخدم لتكبير أو تصغير مصار معين ال pentagraph
+
+12
+00:00:57,490 --> 00:01:07,470
+بشكله البسيط مكون عند أجزاء عند محور دوران O عند
+
+13
+00:01:07,470 --> 00:01:15,430
+الدراع one link عند a بي عند هنا revenue joint
+
+14
+00:01:15,430 --> 00:01:22,550
+وهنا revenue jointعندي كمان دراع C
+
+15
+00:01:22,550 --> 00:01:30,250
+وهنا عندي D
+
+16
+00:01:30,250 --> 00:01:37,190
+ال
+
+17
+00:01:37,190 --> 00:01:41,470
+bars BA
+
+18
+00:01:42,290 --> 00:01:49,550
+مدّنها لنقطة O والـ bar بي سي مدّنها لنقطة E بحيث
+
+19
+00:01:49,550 --> 00:01:57,330
+أنه OA على
+
+20
+00:01:57,330 --> 00:02:01,210
+OB بساوي
+
+21
+00:02:01,210 --> 00:02:05,870
+AD على
+
+22
+00:02:05,870 --> 00:02:15,920
+BAيعني لاحظوا أنه كمعنى عندي AB بيساوي
+
+23
+00:02:15,920 --> 00:02:22,220
+BC بيساوي CD بيساوي DA
+
+24
+00:02:26,740 --> 00:02:30,920
+يعني القالية هذه عملت بحيث انه شكلت مثلثين
+
+25
+00:02:30,920 --> 00:02:39,560
+متشابهين المثلث OAD والمثلث OBE مثلثين متشابهين
+
+26
+00:02:52,190 --> 00:02:56,290
+الان for all positions اذا بدت ال mechanism بدت
+
+27
+00:02:56,290 --> 00:03:01,030
+انا احرك مثلا نقطة D احرك نقطة D في مسار معين بما
+
+28
+00:03:01,030 --> 00:03:06,430
+ان المدفس ثلاثين OAD والمثلث OBE دايما نقطة E
+
+29
+00:03:06,430 --> 00:03:14,710
+هتتبع D طبعا E أبعد هتكبر حركة E هتكبر حركة D لكن
+
+30
+00:03:14,710 --> 00:03:19,850
+لو كان مصدر ال input عند E وانا بدي D هتكون D
+
+31
+00:03:19,850 --> 00:03:21,430
+تصغير لE
+
+32
+00:03:26,380 --> 00:03:30,920
+هذه تسمى ال pantograph يعني تستخدم عشان أصغر أو
+
+33
+00:03:30,920 --> 00:03:43,400
+أكبر مصار معين يعني نقطة D مشت على هذا المصار نقطة
+
+34
+00:03:43,400 --> 00:03:51,260
+E هتمشي على نفس شكل المصار بس على أكبر هتمشي
+
+35
+00:03:51,260 --> 00:03:54,740
+على نفس شكل المصار بس بحجم أكبر
+
+36
+00:04:06,740 --> 00:04:11,600
+طيب الان هنتعرف على ال theory نظرية ال exact
+
+37
+00:04:11,600 --> 00:04:15,480
+straight line motion mechanism made up of turning
+
+38
+00:04:15,480 --> 00:04:20,640
+pairs هنتعرف على نظرية القليات اللي بتعطيني حركة
+
+39
+00:04:20,640 --> 00:04:26,760
+على خط مستقيم و كل ال pairs معمولة من turning
+
+40
+00:04:26,760 --> 00:04:28,020
+pairs او revolute pairs
+
+41
+00:04:32,820 --> 00:04:45,820
+عندي دائرة هنكت
+
+42
+00:04:45,820 --> 00:04:54,080
+O و P P
+
+43
+00:04:54,080 --> 00:04:59,000
+مثل قطر الدائرة و
+
+44
+00:04:59,000 --> 00:04:59,700
+OA
+
+45
+00:05:08,760 --> 00:05:15,620
+chord و A P هتكون برضه اش chord بما ان هذا O A O P
+
+46
+00:05:15,620 --> 00:05:25,180
+قطر معناته هتزاه هتكون تسعين درجة همد
+
+47
+00:05:25,180 --> 00:05:29,200
+O A لنقطة P
+
+48
+00:05:42,510 --> 00:05:55,430
+و أسقط من B عمودي على OB مديت
+
+49
+00:05:55,430 --> 00:06:05,650
+OA لحد نقطة B بحيث مديته بحيث ان حاصل ضرب OA في OB
+
+50
+00:06:05,650 --> 00:06:07,790
+بساوي ثابت
+
+51
+00:06:11,470 --> 00:06:17,210
+مديت OA بحيث
+
+52
+00:06:17,210 --> 00:06:24,710
+تكون حاصل ضرب OA في OB قيمة ثابتة وبعدين عملت
+
+53
+00:06:24,710 --> 00:06:39,770
+عمودي من B على OP بتقاطع من OP في نقطة Q لاحظوا
+
+54
+00:06:39,770 --> 00:06:40,690
+المثلثين
+
+55
+00:06:46,600 --> 00:06:56,620
+المثلثين O O P و
+
+56
+00:06:56,620 --> 00:07:00,260
+O Q
+
+57
+00:07:00,260 --> 00:07:05,280
+B
+
+58
+00:07:05,280 --> 00:07:15,130
+متشابهين similar ليش الزاوية هذهمشتركة بين التنين
+
+59
+00:07:15,130 --> 00:07:22,370
+والزاوية هذه بتساوي
+
+60
+00:07:22,370 --> 00:07:27,130
+الزاوية هذه والزاوية هذه تسعين درجة وهذه تسعين
+
+61
+00:07:27,130 --> 00:07:34,110
+درجةمعناته المثلثين إذا عندي زاوية مشتركة في زاوية
+
+62
+00:07:34,110 --> 00:07:37,870
+السيين معناته الزاوية هذه بالساوية هذه تلت زاوية
+
+63
+00:07:37,870 --> 00:07:41,770
+متساوية معناته المثلثين متشابهين نتيجة شابه هيكون
+
+64
+00:07:41,770 --> 00:07:47,570
+عندي OA على
+
+65
+00:07:47,570 --> 00:07:53,790
+OB هيساوي
+
+66
+00:07:53,790 --> 00:07:54,310
+OB
+
+67
+00:08:02,130 --> 00:08:09,630
+OQ على OP على
+
+68
+00:08:09,630 --> 00:08:14,750
+OP لو
+
+69
+00:08:14,750 --> 00:08:27,350
+ضربت فعملت cross عندي OA أو OP في OQ بتساوي
+
+70
+00:08:27,350 --> 00:08:36,730
+OAفى OB يعني لو عملنا cross حكينا OB فى OQ حد سوى
+
+71
+00:08:36,730 --> 00:08:42,630
+OA فى OB معناته OQ هي
+
+72
+00:08:42,630 --> 00:08:55,270
+OQ خدها الطول حد سوى OA فى OB على OP
+
+73
+00:08:55,270 --> 00:09:05,220
+اتذكروا احنامدّينا OA لحد نقطة B بحيث أن OA في OB
+
+74
+00:09:05,220 --> 00:09:13,360
+constant يعني هنا سأكون عندي إيش؟ constant على
+
+75
+00:09:13,360 --> 00:09:19,580
+ال OB مثل قطر الدائرة قطر الدائرة أشمالي برضه
+
+76
+00:09:19,580 --> 00:09:20,080
+constant
+
+77
+00:09:25,330 --> 00:09:28,810
+معناته constant على constant هيعطينا constant ثابت
+
+78
+00:09:28,810 --> 00:09:32,970
+معناته
+
+79
+00:09:32,970 --> 00:09:36,190
+واضح
+
+80
+00:09:36,190 --> 00:09:46,270
+ان الطول OQ is constant for all positions معناته
+
+81
+00:09:46,270 --> 00:09:55,930
+نقطة Bهتتبع will trace a straight line هذا
+
+82
+00:09:55,930 --> 00:09:58,970
+ال general principle لأي ميكانيزم عشان ت generate
+
+83
+00:09:58,970 --> 00:10:10,170
+a exact straight line ميكانيزم هنشوف
+
+84
+00:10:10,170 --> 00:10:12,150
+ميكانيزم تستخدم هذا ال principle
+
+85
+00:10:16,320 --> 00:10:20,160
+اسمها Posterior Posterior Mechanism Posterior
+
+86
+00:10:20,160 --> 00:10:26,320
+Mechanism Posterior Mechanism Posterior Mechanism
+
+87
+00:10:26,320 --> 00:10:27,420
+Posterior Mechanism Posterior Mechanism Posterior
+
+88
+00:10:27,420 --> 00:10:27,520
+Posterior Mechanism Posterior Mechanism Posterior
+
+89
+00:10:27,520 --> 00:10:27,540
+Mechanism Posterior Mechanism Posterior Mechanism
+
+90
+00:10:27,540 --> 00:10:27,560
+Posterior Mechanism Posterior Mechanism Posterior
+
+91
+00:10:27,560 --> 00:10:28,160
+Mechanism Posterior Mechanism Posterior Mechanism
+
+92
+00:10:28,160 --> 00:10:28,220
+Posterior Mechanism Posterior Mechanism Posterior
+
+93
+00:10:28,220 --> 00:10:44,840
+Mechanism Posterior Mechanism Posterior
+
+94
+00:10:51,540 --> 00:11:04,840
+عندي link او واحد a هذه a ال link او واحد a مسموح
+
+95
+00:11:04,840 --> 00:11:11,760
+للدور حوالين دائرة هذه وفي عندى معين يعني متوازن
+
+96
+00:11:11,760 --> 00:11:19,320
+اضلاع اضلاع متساوية هذه عندى الضلع AC و الضلع
+
+97
+00:11:23,430 --> 00:11:32,750
+BC ودلع CD ودلع
+
+98
+00:11:32,750 --> 00:11:38,170
+DA وفي
+
+99
+00:11:38,170 --> 00:11:49,790
+عند ال link AC و
+
+100
+00:11:49,790 --> 00:11:50,970
+ال link OD
+
+101
+00:11:56,850 --> 00:11:59,790
+هذه الألية معناته ألية مكونة من ال link الأرض
+
+102
+00:11:59,790 --> 00:12:08,250
+ثابتة هذه ال link ثابتة هذه واحد وهذه ا اتنين
+
+103
+00:12:08,250 --> 00:12:19,620
+اعتبرت هذه التلاتة هذه الأربعةوهاي خمسة ستة سبعة
+
+104
+00:12:19,620 --> 00:12:24,640
+تمانية يعني واحد اتنين تلاتة اربع خمس ستة سبعة
+
+105
+00:12:24,640 --> 00:12:28,260
+تمانية يعني ال link يعني تمانية links عندي تمانية
+
+106
+00:12:28,260 --> 00:12:36,280
+links لاحظوا التالي الأضلاع
+
+107
+00:12:36,280 --> 00:12:39,420
+طبعا في عندي هنا revolute joint عندي revolute
+
+108
+00:12:39,420 --> 00:12:46,620
+joint هنا عند O واحدوعندي Revolute، Revolute،
+
+109
+00:12:46,620 --> 00:12:51,900
+Revolute، Revolute، Revolute، Revolute، Revolute،
+
+110
+00:12:51,900 --> 00:12:56,120
+Revolute،
+
+111
+00:12:56,120 --> 00:12:58,820
+Revolute، Revolute، Revolute، Revolute، Revolute،
+
+112
+00:12:58,820 --> 00:12:58,840
+Revolute، Revolute، Revolute، Revolute، Revolute،
+
+113
+00:12:58,840 --> 00:12:59,240
+Revolute، Revolute، Revolute، Revolute، Revolute،
+
+114
+00:12:59,240 --> 00:13:00,580
+Revolute، Revolute، Revolute، Revolute، Revolute،
+
+115
+00:13:00,580 --> 00:13:03,080
+Revolute، Revolute، Revolute، Revolute، Revolute،
+
+116
+00:13:03,080 --> 00:13:04,280
+Revolute، Revolute،
+
+117
+00:13:18,730 --> 00:13:24,470
+الان بواسط الميكانيزم هذه إذا حركت ال link O1A لفت
+
+118
+00:13:24,470 --> 00:13:31,170
+B will move along a straight line if we rotate O1A
+
+119
+00:13:31,170 --> 00:13:36,610
+B will move along a straight line بدنا نثبت إن هذا
+
+120
+00:13:36,610 --> 00:13:44,390
+صحيح طيب لحظة
+
+121
+00:13:44,390 --> 00:13:46,090
+نرجع ال pencil بتاعة، عندي هذه دائرة
+
+122
+00:14:09,960 --> 00:14:20,360
+هي دائرة وهي
+
+123
+00:14:20,360 --> 00:14:28,300
+chord او
+
+124
+00:14:28,300 --> 00:14:32,360
+a لو
+
+125
+00:14:32,360 --> 00:14:35,120
+مديت a ل b
+
+126
+00:14:40,650 --> 00:14:49,970
+يعني حسب ال slide السابقة إذا كان عندي F كان حاصل
+
+127
+00:14:49,970 --> 00:14:59,590
+ضرب OA في OB بستوى constant معناته
+
+128
+00:14:59,590 --> 00:15:03,890
+point B will
+
+129
+00:15:03,890 --> 00:15:08,790
+move along
+
+130
+00:15:11,080 --> 00:15:19,240
+straight line معناته
+
+131
+00:15:19,240 --> 00:15:25,920
+اذا اثبتنا ان o a في o b بثابت معناته اكيد بيه
+
+132
+00:15:25,920 --> 00:15:32,580
+هتحرك على خط مستقيم خلينا نشوف نمشي نشوف ايش هو o
+
+133
+00:15:32,580 --> 00:15:33,280
+a
+
+134
+00:15:37,420 --> 00:15:44,160
+في OB انا ابدا اعرف الشمال هنا انا
+
+135
+00:15:44,160 --> 00:15:48,040
+ابدا احكي OA في
+
+136
+00:15:48,040 --> 00:15:53,380
+OB OA
+
+137
+00:15:53,380 --> 00:15:57,000
+في
+
+138
+00:15:57,000 --> 00:16:00,900
+OB هي OA
+
+139
+00:16:09,030 --> 00:16:19,590
+في نقطة R R بتمثل نقطة تقاطع قطرين المعين بما أن
+
+140
+00:16:19,590 --> 00:16:23,810
+هذا معين معناته قطرينه دائما هيكون متعامدين زي 93
+
+141
+00:16:23,810 --> 00:16:27,770
+درجة طيب
+
+142
+00:16:27,770 --> 00:16:36,110
+OA هذا الطول بيساوي هذا الطول كله OR minus AR OA
+
+143
+00:16:36,110 --> 00:16:38,150
+بيساوي OR
+
+144
+00:16:41,880 --> 00:16:48,920
+minus ar في
+
+145
+00:16:48,920 --> 00:16:55,000
+OB
+
+146
+00:16:55,000 --> 00:17:07,880
+بيساوي OR زاد BR بيساوي OR زاد
+
+147
+00:17:07,880 --> 00:17:09,780
+BR
+
+148
+00:17:15,180 --> 00:17:23,600
+لكن قطرين المعين بنصف واحد معناته AR بيساوي BR AR
+
+149
+00:17:23,600 --> 00:17:29,420
+بيساوي BR بيساوي CR بيساوي DR معناته عندي AR
+
+150
+00:17:29,420 --> 00:17:33,240
+بيساوي
+
+151
+00:17:33,240 --> 00:17:51,460
+BR بيساوي CR بيساوي DR معناته OAفى OB هتسوى OR-AR
+
+152
+00:17:51,460 --> 00:17:54,480
+فى
+
+153
+00:17:54,480 --> 00:18:02,940
+OR زاد اذا حكينا بي ار بيستوى ا ار زاد ا ار معناته
+
+154
+00:18:02,940 --> 00:18:08,180
+هتسوى OR تربيع minus
+
+155
+00:18:08,180 --> 00:18:12,020
+AR تربيع فرق بين المربعين
+
+156
+00:18:17,090 --> 00:18:23,210
+صار عندى OR خلّيني أخد المثلث ORD ناخد المثلث
+
+157
+00:18:23,210 --> 00:18:29,250
+المثلث ORD
+
+158
+00:18:29,250 --> 00:18:36,690
+المثلث ORD قائم الزاوية النقطة ال نقطة R هذا 97
+
+159
+00:18:36,690 --> 00:18:44,630
+درجة معناته OR تربيع هذا الوطر OR تربيع OR
+
+160
+00:18:45,930 --> 00:18:56,650
+تربية هيساوي OD تربية minus DR
+
+161
+00:18:56,650 --> 00:19:02,650
+تربية minus
+
+162
+00:19:02,650 --> 00:19:11,630
+DR تربية نجي ل A نجي
+
+163
+00:19:11,630 --> 00:19:12,050
+ل AR
+
+164
+00:19:17,470 --> 00:19:27,810
+AR تربيع هحكي
+
+165
+00:19:27,810 --> 00:19:35,370
+AR تربيع نفس الشيء AR المثلث المثلث ARD قائم
+
+166
+00:19:35,370 --> 00:19:43,210
+الزاوية ARD قائم الزاوية عند R معناته استخدام فيه
+
+167
+00:19:43,210 --> 00:19:45,050
+ثغور هحكي عندي AR تربيع
+
+168
+00:19:47,640 --> 00:19:59,760
+هتساوى ايه دي تربيع ايه دي تربيع minus DR تربيع
+
+169
+00:19:59,760 --> 00:20:06,920
+خلّيني أعوض هنا، المعنى اللي بيحصل عندي هنا OA في
+
+170
+00:20:06,920 --> 00:20:14,380
+OB بيساوى احنا حاكيها بالسواء OR تربيع minus AR
+
+171
+00:20:15,620 --> 00:20:21,960
+تربية انعوض على
+
+172
+00:20:21,960 --> 00:20:32,000
+فكرة بدنا نصلح شغلة أنا عندي هنا AR بالساوية PR بس
+
+173
+00:20:32,000 --> 00:20:38,860
+و CR بالساوية
+
+174
+00:20:38,860 --> 00:20:46,550
+DR هيك صحطيب لأن عندي OA في OB بيستوى OR تربيع
+
+175
+00:20:46,550 --> 00:20:54,910
+نفسي لأن OR تربيع هي بتسوى OD تربيع minus
+
+176
+00:20:54,910 --> 00:21:05,930
+DR تربيع minus DR تربيع اللي هو AR تربيع اللي هي
+
+177
+00:21:05,930 --> 00:21:11,250
+عبارة عن AD تربيع minus
+
+178
+00:21:11,250 --> 00:21:21,470
+DRتربيع يعني هتكون تساوي OD تربيع minus DR تربيع
+
+179
+00:21:21,470 --> 00:21:31,710
+minus AD تربيع زائد DR تربيع minus DR تربيع مع DR
+
+180
+00:21:31,710 --> 00:21:40,690
+تربيع بتروح هذه مع هذه بصفة بالساوية OD تربيع
+
+181
+00:21:41,820 --> 00:21:56,360
+minus AD تربيع معناته بنخلص ان OA في OB هتساوي OD
+
+182
+00:21:56,360 --> 00:22:07,150
+تربيع minus AD تربيع وين OD؟ هاي ODوهي دي ايه ال
+
+183
+00:22:07,150 --> 00:22:13,350
+او دي is a link معناته قيمته ومربعه ومكعب وثابت و
+
+184
+00:22:13,350 --> 00:22:16,090
+ال a دي is a link معناته قيمته ثابت معناته هذا
+
+185
+00:22:16,090 --> 00:22:23,310
+المقدار اشماله هذا بيساوي constant minus constant
+
+186
+00:22:23,310 --> 00:22:31,370
+ثابت ناقص ثابت ماتينياش constant معناته أثبتنا انه
+
+187
+00:22:31,370 --> 00:22:41,470
+o aفي OB بيساوي ثابت معناته بي for sure will move
+
+188
+00:22:41,470 --> 00:22:45,550
+along a straight line هذي بسميها Pecelia mechanism
+
+189
+00:22:45,550 --> 00:22:48,650
+هذي
+
+190
+00:22:48,650 --> 00:22:52,130
+is an exact straight line mechanism انا على مودي
+
+191
+00:22:52,130 --> 00:22:58,810
+العرض كذا فيديو مساعد اتفرج
+
+192
+00:22:58,810 --> 00:23:02,150
+عليهم عرض كمان other straight line mechanisms
+
+193
+00:23:06,590 --> 00:23:12,230
+لحد هم ننهي المحاضرة هذه، المحاضرة الجاية هنحكي عن
+
+194
+00:23:12,230 --> 00:23:14,330
+ال steering gear mechanism
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EKZSHpXvNks_raw.json b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EKZSHpXvNks_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..a0431a366b664e60e1ab7157e35ad79ceebc2bc7
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EKZSHpXvNks_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2088, "start": 4.94, "end": 20.88, "text": "بسم الله الرحمن الرحيم السلام عليكم ورحمة الله وبركاته اليوم هنكمل في مادة نظرية الألات هنخش على chapter جديد بعنوان اللي هو mechanisms with lower pairs هنبدأ ببعض التعريفات في ال lower pair", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21136, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224, 45595, 20498, 8032, 1863, 24793, 1211, 8978, 3714, 18513, 3660, 8717, 19913, 2288, 10632, 16247, 1211, 9307, 8032, 1863, 9778, 8592, 15844, 7187, 10874, 16254, 3215, 45030, 1863, 2407, 7649, 13672, 1829, 31439, 15902, 365, 3126, 15494, 8032, 1863, 44510, 10721, 4724, 3555, 3615, 11242, 16712, 3615, 16572, 5172, 9307, 8978, 2423, 3126, 6119], "avg_logprob": -0.13000801702340445, "compression_ratio": 1.6470588235294117, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 4.94, "end": 5.58, "word": "بسم", "probability": 0.879150390625}, {"start": 5.58, "end": 5.82, "word": " الله", "probability": 0.974609375}, {"start": 5.82, "end": 6.12, "word": " الرحمن", "probability": 0.96142578125}, {"start": 6.12, "end": 6.48, "word": " الرحيم", "probability": 0.9894205729166666}, {"start": 6.48, "end": 6.88, "word": " السلام", "probability": 0.89697265625}, {"start": 6.88, "end": 7.3, "word": " عليكم", "probability": 0.938232421875}, {"start": 7.3, "end": 7.66, "word": " ورحمة", "probability": 0.9114990234375}, {"start": 7.66, "end": 7.9, "word": " الله", "probability": 0.96826171875}, {"start": 7.9, "end": 8.62, "word": " وبركاته", "probability": 0.98720703125}, {"start": 8.62, "end": 9.4, "word": " اليوم", "probability": 0.815673828125}, {"start": 9.4, "end": 9.94, "word": " هنكمل", "probability": 0.9591064453125}, {"start": 9.94, "end": 10.06, "word": " في", "probability": 0.912109375}, {"start": 10.06, "end": 10.36, "word": " مادة", "probability": 0.767333984375}, {"start": 10.36, "end": 10.96, "word": " نظرية", "probability": 0.970458984375}, {"start": 10.96, "end": 11.5, "word": " الألات", "probability": 0.76123046875}, {"start": 11.5, "end": 12.0, "word": " هنخش", "probability": 0.9228515625}, {"start": 12.0, "end": 12.26, "word": " على", "probability": 0.84375}, {"start": 12.26, "end": 13.12, "word": " chapter", "probability": 0.6982421875}, {"start": 13.12, "end": 13.64, "word": " جديد", "probability": 0.9801432291666666}, {"start": 13.64, "end": 14.1, "word": " بعنوان", "probability": 0.9425048828125}, {"start": 14.1, "end": 14.2, "word": " اللي", "probability": 0.5885009765625}, {"start": 14.2, "end": 14.44, "word": " هو", "probability": 0.92724609375}, {"start": 14.44, "end": 15.0, "word": " mechanisms", "probability": 0.5673828125}, {"start": 15.0, "end": 15.34, "word": " with", "probability": 0.9228515625}, {"start": 15.34, "end": 15.66, "word": " lower", "probability": 0.88037109375}, {"start": 15.66, "end": 16.1, "word": " pairs", "probability": 0.81396484375}, {"start": 16.1, "end": 17.14, "word": " هنبدأ", "probability": 0.96630859375}, {"start": 17.14, "end": 17.86, "word": " ببعض", "probability": 0.85699462890625}, {"start": 17.86, "end": 19.1, "word": " التعريفات", "probability": 0.98994140625}, {"start": 19.1, "end": 20.08, "word": " في", "probability": 0.80322265625}, {"start": 20.08, "end": 20.2, "word": " ال", "probability": 0.80029296875}, {"start": 20.2, "end": 20.42, "word": " lower", "probability": 0.7353515625}, {"start": 20.42, "end": 20.88, "word": " pair", "probability": 0.85595703125}], "temperature": 1.0}, {"id": 2, "seek": 4659, "start": 21.53, "end": 46.59, "text": "ال ال two elements المكونين لل pair بيكون نوع التلامس بينهم تلامس سطحي و في حركة نسبية بالنسبة للجزءين المكونين لل pair يعني جزء او element بتحرك بالنسبة للتاني يعني في عندي sliding of one element over the surface of the other element هنبدأ نتعرف على بعض الأليات زي ال pantograph", "tokens": [6027, 2423, 732, 4959, 9673, 30544, 9957, 24976, 6119, 4724, 1829, 30544, 8717, 45367, 16712, 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"end": 23.57, "word": " المكونين", "probability": 0.92529296875}, {"start": 23.57, "end": 23.83, "word": " لل", "probability": 0.8642578125}, {"start": 23.83, "end": 24.25, "word": " pair", "probability": 0.81103515625}, {"start": 24.25, "end": 25.13, "word": " بيكون", "probability": 0.8802083333333334}, {"start": 25.13, "end": 25.41, "word": " نوع", "probability": 0.986083984375}, {"start": 25.41, "end": 25.91, "word": " التلامس", "probability": 0.9505208333333334}, {"start": 25.91, "end": 26.23, "word": " بينهم", "probability": 0.8486328125}, {"start": 26.23, "end": 26.93, "word": " تلامس", "probability": 0.9597981770833334}, {"start": 26.93, "end": 27.55, "word": " سطحي", "probability": 0.9744873046875}, {"start": 27.55, "end": 27.71, "word": " و", "probability": 0.9453125}, {"start": 27.71, "end": 27.85, "word": " في", "probability": 0.425537109375}, {"start": 27.85, "end": 28.37, "word": " حركة", "probability": 0.8837890625}, {"start": 28.37, "end": 28.85, "word": " نسبية", 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"end": 74.91, "word": " revenue", "probability": 0.30078125}, {"start": 74.91, "end": 75.43, "word": " joint", "probability": 0.93017578125}, {"start": 75.43, "end": 75.79, "word": " وهنا", "probability": 0.778076171875}, {"start": 75.79, "end": 76.09, "word": " revenue", "probability": 0.92724609375}, {"start": 76.09, "end": 76.67, "word": " joint", "probability": 0.9423828125}], "temperature": 1.0}, {"id": 4, "seek": 10147, "start": 77.61, "end": 101.47, "text": "عندي كمان دراع C وهنا عندي D ال bars BA", "tokens": [3615, 1863, 16254, 9122, 2304, 7649, 11778, 23557, 3615, 383, 37037, 8315, 18871, 16254, 413, 2423, 10228, 21050], "avg_logprob": -0.3727384837050187, "compression_ratio": 0.9682539682539683, "no_speech_prob": 0.0, "words": [{"start": 77.61, "end": 77.97, "word": "عندي", "probability": 0.8134765625}, {"start": 77.97, "end": 78.23, "word": " كمان", "probability": 0.9879557291666666}, {"start": 78.23, "end": 79.45, "word": " دراع", "probability": 0.80615234375}, {"start": 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576.19, "end": 577.39, "word": " ان", "probability": 0.65869140625}, {"start": 577.39, "end": 578.89, "word": " الطول", "probability": 0.79052734375}, {"start": 578.89, "end": 580.21, "word": " OQ", "probability": 0.763671875}, {"start": 580.21, "end": 583.15, "word": " is", "probability": 0.5693359375}, {"start": 583.15, "end": 583.79, "word": " constant", "probability": 0.95166015625}, {"start": 583.79, "end": 584.11, "word": " for", "probability": 0.96337890625}, {"start": 584.11, "end": 584.57, "word": " all", "probability": 0.95751953125}, {"start": 584.57, "end": 585.21, "word": " positions", "probability": 0.86767578125}, {"start": 585.21, "end": 586.27, "word": " معناته", "probability": 0.8943684895833334}, {"start": 586.27, "end": 586.81, "word": " نقطة", "probability": 0.931640625}, {"start": 586.81, "end": 587.15, "word": " B", "probability": 0.74169921875}], "temperature": 1.0}, {"id": 22, "seek": 61215, "start": 588.75, "end": 612.15, "text": "هتتبع will trace a straight line هذا ال general principle لأي ميكانيزم عشان ت generate a exact straight line ميكانيزم هنشوف ميكانيزم تستخدم هذا ال principle", "tokens": [3224, 2655, 2655, 3555, 3615, 486, 13508, 257, 2997, 1622, 23758, 2423, 2674, 8665, 5296, 10721, 1829, 3714, 1829, 41361, 1829, 11622, 2304, 6225, 8592, 7649, 6055, 8460, 257, 1900, 2997, 1622, 3714, 1829, 41361, 1829, 11622, 2304, 8032, 1863, 8592, 38688, 3714, 1829, 41361, 1829, 11622, 2304, 6055, 14851, 9778, 40448, 23758, 2423, 8665], "avg_logprob": -0.1817801288728203, "compression_ratio": 1.539568345323741, "no_speech_prob": 0.0, "words": [{"start": 588.75, "end": 589.59, "word": "هتتبع", "probability": 0.85498046875}, {"start": 589.59, "end": 589.79, "word": " will", "probability": 0.68701171875}, {"start": 589.79, "end": 590.41, "word": " trace", "probability": 0.97998046875}, {"start": 590.41, "end": 591.33, "word": " a", "probability": 0.9814453125}, {"start": 591.33, "end": 591.77, "word": " straight", "probability": 0.9326171875}, 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600.77, "end": 601.17, "word": " straight", "probability": 0.91796875}, {"start": 601.17, "end": 601.59, "word": " line", "probability": 0.93896484375}, {"start": 601.59, "end": 602.81, "word": " ميكانيزم", "probability": 0.8522135416666666}, {"start": 602.81, "end": 610.17, "word": " هنشوف", "probability": 0.9674072265625}, {"start": 610.17, "end": 610.89, "word": " ميكانيزم", "probability": 0.9414876302083334}, {"start": 610.89, "end": 611.39, "word": " تستخدم", "probability": 0.990478515625}, {"start": 611.39, "end": 611.63, "word": " هذا", "probability": 0.7001953125}, {"start": 611.63, "end": 611.75, "word": " ال", "probability": 0.951171875}, {"start": 611.75, "end": 612.15, "word": " principle", "probability": 0.7880859375}], "temperature": 1.0}, {"id": 23, "seek": 64484, "start": 616.32, "end": 644.84, "text": "اسمها Posterior Posterior Mechanism Posterior Mechanism Posterior Mechanism Posterior Mechanism Posterior Mechanism Posterior Mechanism Posterior Mechanism Posterior 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المقدار اشماله هذا بيساوي constant minus constant ثابت ناقص ثابت ماتينياش constant معناته أثبتنا انه o a", "tokens": [2407, 3224, 1829, 11778, 1829, 1975, 1829, 3224, 2423, 1975, 2407, 11778, 1829, 307, 257, 2113, 20449, 8315, 47395, 12174, 32640, 47395, 4032, 2304, 25513, 3615, 3224, 4032, 2304, 4117, 3615, 3555, 4032, 12984, 16758, 2655, 4032, 2423, 257, 11778, 1829, 307, 257, 2113, 20449, 8315, 47395, 12174, 32640, 47395, 38637, 16758, 2655, 20449, 8315, 47395, 23758, 9673, 28543, 9640, 1975, 8592, 2304, 6027, 3224, 23758, 4724, 1829, 3794, 995, 45865, 5754, 3175, 5754, 38637, 16758, 2655, 8717, 995, 4587, 9381, 38637, 16758, 2655, 3714, 9307, 1829, 22653, 33599, 5754, 20449, 8315, 47395, 5551, 12984, 3555, 2655, 8315, 16472, 3224, 277, 257], "avg_logprob": -0.24605581887717387, "compression_ratio": 2.0, "no_speech_prob": 0.0, "words": [{"start": 1326.09, "end": 1326.45, "word": "وهي", "probability": 0.5580240885416666}, {"start": 1326.45, "end": 1326.63, "word": " دي", 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" constant", "probability": 0.85009765625}, {"start": 1346.77, "end": 1348.95, "word": " معناته", "probability": 0.98486328125}, {"start": 1348.95, "end": 1349.55, "word": " أثبتنا", "probability": 0.9220703125}, {"start": 1349.55, "end": 1351.37, "word": " انه", "probability": 0.4439697265625}, {"start": 1351.37, "end": 1351.97, "word": " o", "probability": 0.432373046875}, {"start": 1351.97, "end": 1352.25, "word": " a", "probability": 0.6611328125}], "temperature": 1.0}, {"id": 47, "seek": 138215, "start": 1354.03, "end": 1382.15, "text": "في OB بيساوي ثابت معناته بي for sure will move along a straight line هذي بسميها Pecelia mechanism هذي is an exact straight line mechanism انا على مودي العرض كذا فيديو مساعد اتفرج عليهم عرض كمان other straight line mechanisms", "tokens": [41185, 35538, 4724, 1829, 3794, 995, 45865, 38637, 16758, 2655, 20449, 8315, 47395, 4724, 1829, 337, 988, 486, 1286, 2051, 257, 2997, 1622, 8032, 8848, 1829, 4724, 38251, 1829, 11296, 2396, 4933, 654, 7513, 8032, 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0.9638671875}, {"start": 1360.33, "end": 1361.09, "word": " will", "probability": 0.865234375}, {"start": 1361.09, "end": 1361.47, "word": " move", "probability": 0.96630859375}, {"start": 1361.47, "end": 1361.99, "word": " along", "probability": 0.95458984375}, {"start": 1361.99, "end": 1362.27, "word": " a", "probability": 0.990234375}, {"start": 1362.27, "end": 1362.67, "word": " straight", "probability": 0.90380859375}, {"start": 1362.67, "end": 1363.05, "word": " line", "probability": 0.962890625}, {"start": 1363.05, "end": 1363.37, "word": " هذي", "probability": 0.4902750651041667}, {"start": 1363.37, "end": 1363.95, "word": " بسميها", "probability": 0.982421875}, {"start": 1363.95, "end": 1364.87, "word": " Pecelia", "probability": 0.3635660807291667}, {"start": 1364.87, "end": 1365.55, "word": " mechanism", "probability": 0.490478515625}, {"start": 1365.55, "end": 1368.65, "word": " هذي", "probability": 0.81298828125}, {"start": 1368.65, "end": 1368.99, "word": " is", "probability": 0.87255859375}, {"start": 1368.99, "end": 1369.27, "word": " an", "probability": 0.921875}, {"start": 1369.27, "end": 1369.73, "word": " exact", "probability": 0.9580078125}, {"start": 1369.73, "end": 1370.23, "word": " straight", "probability": 0.88525390625}, {"start": 1370.23, "end": 1370.47, "word": " line", "probability": 0.90087890625}, {"start": 1370.47, "end": 1370.99, "word": " mechanism", "probability": 0.904296875}, {"start": 1370.99, "end": 1371.71, "word": " انا", "probability": 0.72607421875}, {"start": 1371.71, "end": 1371.83, "word": " على", "probability": 0.6357421875}, {"start": 1371.83, "end": 1372.13, "word": " مودي", "probability": 0.7742513020833334}, {"start": 1372.13, "end": 1372.69, "word": " العرض", "probability": 0.861083984375}, {"start": 1372.69, "end": 1374.29, "word": " كذا", "probability": 0.9580078125}, {"start": 1374.29, "end": 1374.89, "word": " فيديو", "probability": 0.8614908854166666}, {"start": 1374.89, "end": 1375.77, "word": " مساعد", "probability": 0.9733072916666666}, {"start": 1375.77, "end": 1378.81, "word": " اتفرج", "probability": 0.9736328125}, {"start": 1378.81, "end": 1379.23, "word": " عليهم", "probability": 0.97998046875}, {"start": 1379.23, "end": 1379.61, "word": " عرض", "probability": 0.855712890625}, {"start": 1379.61, "end": 1380.49, "word": " كمان", "probability": 0.9803059895833334}, {"start": 1380.49, "end": 1380.83, "word": " other", "probability": 0.82421875}, {"start": 1380.83, "end": 1381.49, "word": " straight", "probability": 0.87255859375}, {"start": 1381.49, "end": 1381.75, "word": " line", "probability": 0.93603515625}, {"start": 1381.75, "end": 1382.15, "word": " mechanisms", "probability": 0.5830078125}], "temperature": 1.0}, {"id": 48, "seek": 139433, "start": 1386.59, "end": 1394.33, "text": "لحد هم ننهي المحاضرة هذه، المحاضرة الجاية هنحكي عن ال steering gear mechanism", "tokens": [1211, 24401, 8032, 2304, 8717, 1863, 3224, 1829, 9673, 5016, 46958, 25720, 29538, 12399, 9673, 5016, 46958, 25720, 25724, 995, 10632, 8032, 1863, 5016, 4117, 1829, 18871, 2423, 14823, 7394, 7513], "avg_logprob": -0.15307617746293545, "compression_ratio": 1.2222222222222223, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 1386.59, "end": 1387.59, "word": "لحد", "probability": 0.9794921875}, {"start": 1387.59, "end": 1387.89, "word": " هم", "probability": 0.5634765625}, {"start": 1387.89, "end": 1388.65, "word": " ننهي", "probability": 0.9622802734375}, {"start": 1388.65, "end": 1389.89, "word": " المحاضرة", "probability": 0.982666015625}, {"start": 1389.89, "end": 1390.73, "word": " هذه،", "probability": 0.58544921875}, {"start": 1390.73, "end": 1391.23, "word": " المحاضرة", "probability": 0.9876708984375}, {"start": 1391.23, "end": 1391.53, "word": " الجاية", "probability": 0.7820638020833334}, {"start": 1391.53, "end": 1391.99, "word": " هنحكي", "probability": 0.91416015625}, {"start": 1391.99, "end": 1392.23, "word": " عن", "probability": 0.99365234375}, {"start": 1392.23, "end": 1392.83, "word": " ال", "probability": 0.94970703125}, {"start": 1392.83, "end": 1393.51, "word": " steering", "probability": 0.6552734375}, {"start": 1393.51, "end": 1393.89, "word": " gear", "probability": 0.9326171875}, {"start": 1393.89, "end": 1394.33, "word": " mechanism", "probability": 0.9228515625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1394.77625, "duration_after_vad": 1214.2918749999988}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EKZSHpXvNks_raw.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EKZSHpXvNks_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..7a2dc2bf0b6aa720b5c62f9d768f344c59e86603
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EKZSHpXvNks_raw.srt
@@ -0,0 +1,828 @@
+1
+00:00:04,940 --> 00:00:07,900
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,900 --> 00:00:12,260
+وبركاته اليوم هنكمل في مادة نظرية الألات هنخش على
+
+3
+00:00:12,260 --> 00:00:15,660
+chapter جديد بعنوان اللي هو mechanisms with lower
+
+4
+00:00:15,660 --> 00:00:22,190
+pairs هنبدأ ببعض التعريفات في ال lower pairال ال
+
+5
+00:00:22,190 --> 00:00:25,910
+two elements المكونين لل pair بيكون نوع التلامس
+
+6
+00:00:25,910 --> 00:00:30,050
+بينهم تلامس سطحي و في حركة نسبية بالنسبة للجزءين
+
+7
+00:00:30,050 --> 00:00:34,950
+المكونين لل pair يعني جزء او element بتحرك بالنسبة
+
+8
+00:00:34,950 --> 00:00:39,330
+للتاني يعني في عندي sliding of one element over
+
+9
+00:00:39,330 --> 00:00:44,250
+the surface of the other element هنبدأ نتعرف على
+
+10
+00:00:44,250 --> 00:00:49,750
+بعض الأليات زي ال pantographال pentagraph هو جهاز
+
+11
+00:00:49,750 --> 00:00:57,490
+يستخدم لتكبير أو تصغير مصار معين ال pentagraph
+
+12
+00:00:57,490 --> 00:01:07,470
+بشكله البسيط مكون عند أجزاء عند محور دوران O عند
+
+13
+00:01:07,470 --> 00:01:15,430
+الدراع one link عند a بي عند هنا revenue joint
+
+14
+00:01:15,430 --> 00:01:22,550
+وهنا revenue jointعندي كمان دراع C
+
+15
+00:01:22,550 --> 00:01:30,250
+وهنا عندي D
+
+16
+00:01:30,250 --> 00:01:37,190
+ال
+
+17
+00:01:37,190 --> 00:01:41,470
+bars BA
+
+18
+00:01:42,290 --> 00:01:49,550
+مدّنها لنقطة O والـ bar بي سي مدّنها لنقطة E بحيث
+
+19
+00:01:49,550 --> 00:01:57,330
+أنه OA على
+
+20
+00:01:57,330 --> 00:02:01,210
+OB بساوي
+
+21
+00:02:01,210 --> 00:02:05,870
+AD على
+
+22
+00:02:05,870 --> 00:02:15,920
+BAيعني لاحظوا أنه كمعنى عندي AB بيساوي
+
+23
+00:02:15,920 --> 00:02:22,220
+BC بيساوي CD بيساوي DA
+
+24
+00:02:26,740 --> 00:02:30,920
+يعني القالية هذه عملت بحيث انه شكلت مثلثين
+
+25
+00:02:30,920 --> 00:02:39,560
+متشابهين المثلث OAD والمثلث OBE مثلثين متشابهين
+
+26
+00:02:52,190 --> 00:02:56,290
+الان for all positions اذا بدت ال mechanism بدت
+
+27
+00:02:56,290 --> 00:03:01,030
+انا احرك مثلا نقطة D احرك نقطة D في مسار معين بما
+
+28
+00:03:01,030 --> 00:03:06,430
+ان المدفس ثلاثين OAD والمثلث OBE دايما نقطة E
+
+29
+00:03:06,430 --> 00:03:14,710
+هتتبع D طبعا E أبعد هتكبر حركة E هتكبر حركة D لكن
+
+30
+00:03:14,710 --> 00:03:19,850
+لو كان مصدر ال input عند E وانا بدي D هتكون D
+
+31
+00:03:19,850 --> 00:03:21,430
+تصغير لE
+
+32
+00:03:26,380 --> 00:03:30,920
+هذه تسمى ال pantograph يعني تستخدم عشان أصغر أو
+
+33
+00:03:30,920 --> 00:03:43,400
+أكبر مصار معين يعني نقطة D مشت على هذا المصار نقطة
+
+34
+00:03:43,400 --> 00:03:51,260
+E هتمشي على نفس شكل المصار بس على أكبر هتمشي
+
+35
+00:03:51,260 --> 00:03:54,740
+على نفس شكل المصار بس بحجم أكبر
+
+36
+00:04:06,740 --> 00:04:11,600
+طيب الان هنتعرف على ال theory نظرية ال exact
+
+37
+00:04:11,600 --> 00:04:15,480
+straight line motion mechanism made up of turning
+
+38
+00:04:15,480 --> 00:04:20,640
+pairs هنتعرف على نظرية القليات اللي بتعطيني حركة
+
+39
+00:04:20,640 --> 00:04:26,760
+على خط مستقيم و كل ال pairs معمولة من turning
+
+40
+00:04:26,760 --> 00:04:28,020
+pairs او revolute pairs
+
+41
+00:04:32,820 --> 00:04:45,820
+عندي دائرة هنكت
+
+42
+00:04:45,820 --> 00:04:54,080
+O و P P
+
+43
+00:04:54,080 --> 00:04:59,000
+مثل قطر الدائرة و
+
+44
+00:04:59,000 --> 00:04:59,700
+OA
+
+45
+00:05:08,760 --> 00:05:15,620
+chord و A P هتكون برضه اش chord بما ان هذا O A O P
+
+46
+00:05:15,620 --> 00:05:25,180
+قطر معناته هتزاه هتكون تسعين درجة همد
+
+47
+00:05:25,180 --> 00:05:29,200
+O A لنقطة P
+
+48
+00:05:42,510 --> 00:05:55,430
+و أسقط من B عمودي على OB مديت
+
+49
+00:05:55,430 --> 00:06:05,650
+OA لحد نقطة B بحيث مديته بحيث ان حاصل ضرب OA في OB
+
+50
+00:06:05,650 --> 00:06:07,790
+بساوي ثابت
+
+51
+00:06:11,470 --> 00:06:17,210
+مديت OA بحيث
+
+52
+00:06:17,210 --> 00:06:24,710
+تكون حاصل ضرب OA في OB قيمة ثابتة وبعدين عملت
+
+53
+00:06:24,710 --> 00:06:39,770
+عمودي من B على OP بتقاطع من OP في نقطة Q لاحظوا
+
+54
+00:06:39,770 --> 00:06:40,690
+المثلثين
+
+55
+00:06:46,600 --> 00:06:56,620
+المثلثين O O P و
+
+56
+00:06:56,620 --> 00:07:00,260
+O Q
+
+57
+00:07:00,260 --> 00:07:05,280
+B
+
+58
+00:07:05,280 --> 00:07:15,130
+متشابهين similar ليش الزاوية هذهمشتركة بين التنين
+
+59
+00:07:15,130 --> 00:07:22,370
+والزاوية هذه بتساوي
+
+60
+00:07:22,370 --> 00:07:27,130
+الزاوية هذه والزاوية هذه تسعين درجة وهذه تسعين
+
+61
+00:07:27,130 --> 00:07:34,110
+درجةمعناته المثلثين إذا عندي زاوية مشتركة في زاوية
+
+62
+00:07:34,110 --> 00:07:37,870
+السيين معناته الزاوية هذه بالساوية هذه تلت زاوية
+
+63
+00:07:37,870 --> 00:07:41,770
+متساوية معناته المثلثين متشابهين نتيجة شابه هيكون
+
+64
+00:07:41,770 --> 00:07:47,570
+عندي OA على
+
+65
+00:07:47,570 --> 00:07:53,790
+OB هيساوي
+
+66
+00:07:53,790 --> 00:07:54,310
+OB
+
+67
+00:08:02,130 --> 00:08:09,630
+OQ على OP على
+
+68
+00:08:09,630 --> 00:08:14,750
+OP لو
+
+69
+00:08:14,750 --> 00:08:27,350
+ضربت فعملت cross عندي OA أو OP في OQ بتساوي
+
+70
+00:08:27,350 --> 00:08:36,730
+OAفى OB يعني لو عملنا cross حكينا OB فى OQ حد سوى
+
+71
+00:08:36,730 --> 00:08:42,630
+OA فى OB معناته OQ هي
+
+72
+00:08:42,630 --> 00:08:55,270
+OQ خدها الطول حد سوى OA فى OB على OP
+
+73
+00:08:55,270 --> 00:09:05,220
+اتذكروا احنامدّينا OA لحد نقطة B بحيث أن OA في OB
+
+74
+00:09:05,220 --> 00:09:13,360
+constant يعني هنا سأكون عندي إيش؟ constant على
+
+75
+00:09:13,360 --> 00:09:19,580
+ال OB مثل قطر الدائرة قطر الدائرة أشمالي برضه
+
+76
+00:09:19,580 --> 00:09:20,080
+constant
+
+77
+00:09:25,330 --> 00:09:28,810
+معناته constant على constant هيعطينا constant ثابت
+
+78
+00:09:28,810 --> 00:09:32,970
+معناته
+
+79
+00:09:32,970 --> 00:09:36,190
+واضح
+
+80
+00:09:36,190 --> 00:09:46,270
+ان الطول OQ is constant for all positions معناته
+
+81
+00:09:46,270 --> 00:09:55,930
+نقطة Bهتتبع will trace a straight line هذا
+
+82
+00:09:55,930 --> 00:09:58,970
+ال general principle لأي ميكانيزم عشان ت generate
+
+83
+00:09:58,970 --> 00:10:10,170
+a exact straight line ميكانيزم هنشوف
+
+84
+00:10:10,170 --> 00:10:12,150
+ميكانيزم تستخدم هذا ال principle
+
+85
+00:10:16,320 --> 00:10:20,160
+اسمها Posterior Posterior Mechanism Posterior
+
+86
+00:10:20,160 --> 00:10:26,320
+Mechanism Posterior Mechanism Posterior Mechanism
+
+87
+00:10:26,320 --> 00:10:27,420
+Posterior Mechanism Posterior Mechanism Posterior
+
+88
+00:10:27,420 --> 00:10:27,420
+Mechanism Posterior Mechanism Posterior Mechanism
+
+89
+00:10:27,420 --> 00:10:27,420
+Posterior Mechanism Posterior Mechanism Posterior
+
+90
+00:10:27,420 --> 00:10:27,420
+Mechanism Posterior Mechanism Posterior Mechanism
+
+91
+00:10:27,420 --> 00:10:27,420
+Posterior Mechanism Posterior Mechanism Posterior
+
+92
+00:10:27,420 --> 00:10:27,420
+Mechanism Posterior Mechanism Posterior Mechanism
+
+93
+00:10:27,420 --> 00:10:27,420
+Posterior Mechanism Posterior Mechanism Posterior
+
+94
+00:10:27,420 --> 00:10:27,420
+Mechanism Posterior Mechanism Posterior Mechanism
+
+95
+00:10:27,420 --> 00:10:27,520
+Posterior Mechanism Posterior Mechanism Posterior
+
+96
+00:10:27,520 --> 00:10:27,520
+Mechanism Posterior Mechanism Posterior Mechanism
+
+97
+00:10:27,520 --> 00:10:27,520
+Posterior Mechanism Posterior Mechanism Posterior
+
+98
+00:10:27,520 --> 00:10:27,540
+Mechanism Posterior Mechanism Posterior Mechanism
+
+99
+00:10:27,540 --> 00:10:27,560
+Posterior Mechanism Posterior Mechanism Posterior
+
+100
+00:10:27,560 --> 00:10:28,160
+Mechanism Posterior Mechanism Posterior Mechanism
+
+101
+00:10:28,160 --> 00:10:28,220
+Posterior Mechanism Posterior Mechanism Posterior
+
+102
+00:10:28,220 --> 00:10:44,840
+Mechanism Posterior Mechanism Posterior
+
+103
+00:10:51,540 --> 00:11:04,840
+عندي link او واحد a هذه a ال link او واحد a مسموح
+
+104
+00:11:04,840 --> 00:11:11,760
+للدور حوالين دائرة هذه وفي عندى معين يعني متوازن
+
+105
+00:11:11,760 --> 00:11:19,320
+اضلاع اضلاع متساوية هذه عندى الضلع AC و الضلع
+
+106
+00:11:23,430 --> 00:11:32,750
+BC ودلع CD ودلع
+
+107
+00:11:32,750 --> 00:11:38,170
+DA وفي
+
+108
+00:11:38,170 --> 00:11:49,790
+عند ال link AC و
+
+109
+00:11:49,790 --> 00:11:50,970
+ال link OD
+
+110
+00:11:56,850 --> 00:11:59,790
+هذه الألية معناته ألية مكونة من ال link الأرض
+
+111
+00:11:59,790 --> 00:12:08,250
+ثابتة هذه ال link ثابتة هذه واحد وهذه ا اتنين
+
+112
+00:12:08,250 --> 00:12:19,620
+اعتبرت هذه التلاتة هذه الأربعةوهاي خمسة ستة سبعة
+
+113
+00:12:19,620 --> 00:12:24,640
+تمانية يعني واحد اتنين تلاتة اربع خمس ستة سبعة
+
+114
+00:12:24,640 --> 00:12:28,260
+تمانية يعني ال link يعني تمانية links عندي تمانية
+
+115
+00:12:28,260 --> 00:12:36,280
+links لاحظوا التالي الأضلاع
+
+116
+00:12:36,280 --> 00:12:39,420
+طبعا في عندي هنا revolute joint عندي revolute
+
+117
+00:12:39,420 --> 00:12:46,620
+joint هنا عند O واحدوعندي Revolute، Revolute،
+
+118
+00:12:46,620 --> 00:12:51,900
+Revolute، Revolute، Revolute، Revolute، Revolute،
+
+119
+00:12:51,900 --> 00:12:56,120
+Revolute،
+
+120
+00:12:56,120 --> 00:12:58,820
+Revolute، Revolute، Revolute، Revolute، Revolute،
+
+121
+00:12:58,820 --> 00:12:58,840
+Revolute، Revolute، Revolute، Revolute، Revolute،
+
+122
+00:12:58,840 --> 00:12:58,840
+Revolute، Revolute، Revolute، Revolute، Revolute،
+
+123
+00:12:58,840 --> 00:12:59,240
+Revolute، Revolute، Revolute، Revolute، Revolute،
+
+124
+00:12:59,240 --> 00:13:00,580
+Revolute، Revolute، Revolute، Revolute، Revolute،
+
+125
+00:13:00,580 --> 00:13:03,080
+Revolute، Revolute، Revolute، Revolute، Revolute،
+
+126
+00:13:03,080 --> 00:13:03,080
+Revolute، Revolute، Revolute، Revolute، Revolute،
+
+127
+00:13:03,080 --> 00:13:03,080
+Revolute، Revolute، Revolute، Revolute، Revolute،
+
+128
+00:13:03,080 --> 00:13:03,080
+Revolute، Revolute، Revolute، Revolute، Revolute،
+
+129
+00:13:03,080 --> 00:13:04,280
+Revolute، Revolute،
+
+130
+00:13:18,730 --> 00:13:24,470
+الان بواسط الميكانيزم هذه إذا حركت ال link O1A لفت
+
+131
+00:13:24,470 --> 00:13:31,170
+B will move along a straight line if we rotate O1A
+
+132
+00:13:31,170 --> 00:13:36,610
+B will move along a straight line بدنا نثبت إن هذا
+
+133
+00:13:36,610 --> 00:13:44,390
+صحيح طيب لحظة
+
+134
+00:13:44,390 --> 00:13:46,090
+نرجع ال pencil بتاعة، عندي هذه دائرة
+
+135
+00:14:09,960 --> 00:14:20,360
+هي دائرة وهي
+
+136
+00:14:20,360 --> 00:14:28,300
+chord او
+
+137
+00:14:28,300 --> 00:14:32,360
+a لو
+
+138
+00:14:32,360 --> 00:14:35,120
+مديت a ل b
+
+139
+00:14:40,650 --> 00:14:49,970
+يعني حسب ال slide السابقة إذا كان عندي F كان حاصل
+
+140
+00:14:49,970 --> 00:14:59,590
+ضرب OA في OB بستوى constant معناته
+
+141
+00:14:59,590 --> 00:15:03,890
+point B will
+
+142
+00:15:03,890 --> 00:15:08,790
+move along
+
+143
+00:15:11,080 --> 00:15:19,240
+straight line معناته
+
+144
+00:15:19,240 --> 00:15:25,920
+اذا اثبتنا ان o a في o b بثابت معناته اكيد بيه
+
+145
+00:15:25,920 --> 00:15:32,580
+هتحرك على خط مستقيم خلينا نشوف نمشي نشوف ايش هو o
+
+146
+00:15:32,580 --> 00:15:33,280
+a
+
+147
+00:15:37,420 --> 00:15:44,160
+في OB انا ابدا اعرف الشمال هنا انا
+
+148
+00:15:44,160 --> 00:15:48,040
+ابدا احكي OA في
+
+149
+00:15:48,040 --> 00:15:53,380
+OB OA
+
+150
+00:15:53,380 --> 00:15:57,000
+في
+
+151
+00:15:57,000 --> 00:16:00,900
+OB هي OA
+
+152
+00:16:09,030 --> 00:16:19,590
+في نقطة R R بتمثل نقطة تقاطع قطرين المعين بما أن
+
+153
+00:16:19,590 --> 00:16:23,810
+هذا معين معناته قطرينه دائما هيكون متعامدين زي 93
+
+154
+00:16:23,810 --> 00:16:27,770
+درجة طيب
+
+155
+00:16:27,770 --> 00:16:36,110
+OA هذا الطول بيساوي هذا الطول كله OR minus AR OA
+
+156
+00:16:36,110 --> 00:16:38,150
+بيساوي OR
+
+157
+00:16:41,880 --> 00:16:48,920
+minus ar في
+
+158
+00:16:48,920 --> 00:16:55,000
+OB
+
+159
+00:16:55,000 --> 00:17:07,880
+بيساوي OR زاد BR بيساوي OR زاد
+
+160
+00:17:07,880 --> 00:17:09,780
+BR
+
+161
+00:17:15,180 --> 00:17:23,600
+لكن قطرين المعين بنصف واحد معناته AR بيساوي BR AR
+
+162
+00:17:23,600 --> 00:17:29,420
+بيساوي BR بيساوي CR بيساوي DR معناته عندي AR
+
+163
+00:17:29,420 --> 00:17:33,240
+بيساوي
+
+164
+00:17:33,240 --> 00:17:51,460
+BR بيساوي CR بيساوي DR معناته OAفى OB هتسوى OR-AR
+
+165
+00:17:51,460 --> 00:17:54,480
+فى
+
+166
+00:17:54,480 --> 00:18:02,940
+OR زاد اذا حكينا بي ار بيستوى ا ار زاد ا ار معناته
+
+167
+00:18:02,940 --> 00:18:08,180
+هتسوى OR تربيع minus
+
+168
+00:18:08,180 --> 00:18:12,020
+AR تربيع فرق بين المربعين
+
+169
+00:18:17,090 --> 00:18:23,210
+صار عندى OR خلّيني أخد المثلث ORD ناخد المثلث
+
+170
+00:18:23,210 --> 00:18:29,250
+المثلث ORD
+
+171
+00:18:29,250 --> 00:18:36,690
+المثلث ORD قائم الزاوية النقطة ال نقطة R هذا 97
+
+172
+00:18:36,690 --> 00:18:44,630
+درجة معناته OR تربيع هذا الوطر OR تربيع OR
+
+173
+00:18:45,930 --> 00:18:56,650
+تربية هيساوي OD تربية minus DR
+
+174
+00:18:56,650 --> 00:19:02,650
+تربية minus
+
+175
+00:19:02,650 --> 00:19:11,630
+DR تربية نجي ل A نجي
+
+176
+00:19:11,630 --> 00:19:12,050
+ل AR
+
+177
+00:19:17,470 --> 00:19:27,810
+AR تربيع هحكي
+
+178
+00:19:27,810 --> 00:19:35,370
+AR تربيع نفس الشيء AR المثلث المثلث ARD قائم
+
+179
+00:19:35,370 --> 00:19:43,210
+الزاوية ARD قائم الزاوية عند R معناته استخدام فيه
+
+180
+00:19:43,210 --> 00:19:45,050
+ثغور هحكي عندي AR تربيع
+
+181
+00:19:47,640 --> 00:19:59,760
+هتساوى ايه دي تربيع ايه دي تربيع minus DR تربيع
+
+182
+00:19:59,760 --> 00:20:06,920
+خلّيني أعوض هنا، المعنى اللي بيحصل عندي هنا OA في
+
+183
+00:20:06,920 --> 00:20:14,380
+OB بيساوى احنا حاكيها بالسواء OR تربيع minus AR
+
+184
+00:20:15,620 --> 00:20:21,960
+تربية انعوض على
+
+185
+00:20:21,960 --> 00:20:32,000
+فكرة بدنا نصلح شغلة أنا عندي هنا AR بالساوية PR بس
+
+186
+00:20:32,000 --> 00:20:38,860
+و CR بالساوية
+
+187
+00:20:38,860 --> 00:20:46,550
+DR هيك صحطيب لأن عندي OA في OB بيستوى OR تربيع
+
+188
+00:20:46,550 --> 00:20:54,910
+نفسي لأن OR تربيع هي بتسوى OD تربيع minus
+
+189
+00:20:54,910 --> 00:21:05,930
+DR تربيع minus DR تربيع اللي هو AR تربيع اللي هي
+
+190
+00:21:05,930 --> 00:21:11,250
+عبارة عن AD تربيع minus
+
+191
+00:21:11,250 --> 00:21:21,470
+DRتربيع يعني هتكون تساوي OD تربيع minus DR تربيع
+
+192
+00:21:21,470 --> 00:21:31,710
+minus AD تربيع زائد DR تربيع minus DR تربيع مع DR
+
+193
+00:21:31,710 --> 00:21:40,690
+تربيع بتروح هذه مع هذه بصفة بالساوية OD تربيع
+
+194
+00:21:41,820 --> 00:21:56,360
+minus AD تربيع معناته بنخلص ان OA في OB هتساوي OD
+
+195
+00:21:56,360 --> 00:22:07,150
+تربيع minus AD تربيع وين OD؟ هاي ODوهي دي ايه ال
+
+196
+00:22:07,150 --> 00:22:13,350
+او دي is a link معناته قيمته ومربعه ومكعب وثابت و
+
+197
+00:22:13,350 --> 00:22:16,090
+ال a دي is a link معناته قيمته ثابت معناته هذا
+
+198
+00:22:16,090 --> 00:22:23,310
+المقدار اشماله هذا بيساوي constant minus constant
+
+199
+00:22:23,310 --> 00:22:31,370
+ثابت ناقص ثابت ماتينياش constant معناته أثبتنا انه
+
+200
+00:22:31,370 --> 00:22:41,470
+o aفي OB بيساوي ثابت معناته بي for sure will move
+
+201
+00:22:41,470 --> 00:22:45,550
+along a straight line هذي بسميها Pecelia mechanism
+
+202
+00:22:45,550 --> 00:22:48,650
+هذي
+
+203
+00:22:48,650 --> 00:22:52,130
+is an exact straight line mechanism انا على مودي
+
+204
+00:22:52,130 --> 00:22:58,810
+العرض كذا فيديو مساعد اتفرج
+
+205
+00:22:58,810 --> 00:23:02,150
+عليهم عرض كمان other straight line mechanisms
+
+206
+00:23:06,590 --> 00:23:12,230
+لحد هم ننهي المحاضرة هذه، المحاضرة الجاية هنحكي عن
+
+207
+00:23:12,230 --> 00:23:14,330
+ال steering gear mechanism
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EoHqH6PPs5A.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EoHqH6PPs5A.srt
new file mode 100644
index 0000000000000000000000000000000000000000..855692efa9a4edab3bb2358dbc7e1b119c89d124
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EoHqH6PPs5A.srt
@@ -0,0 +1,1960 @@
+1
+00:00:04,890 --> 00:00:07,830
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,830 --> 00:00:12,250
+وبركاته اليوم هنكمل الشابتر inertia forces of
+
+3
+00:00:12,250 --> 00:00:16,070
+reciprocating parts. بعدين هدرسنا اللي هو velocity
+
+4
+00:00:16,070 --> 00:00:19,630
+displacement and acceleration analysis لل slotted
+
+5
+00:00:19,630 --> 00:00:22,290
+crank mechanism. حسبنا ال velocity و ال
+
+6
+00:00:22,290 --> 00:00:25,890
+acceleration و ال position لل piston. حسبنا ال
+
+7
+00:00:25,890 --> 00:00:28,730
+angular velocity و ال angular acceleration لل
+
+8
+00:00:28,730 --> 00:00:33,350
+connecting rod. طبعا هنعطينا حلول تحليلية تقريبية
+
+9
+00:00:33,350 --> 00:00:37,880
+عملنا بعض ال approximations. هنكمل نحسب ال forces
+
+10
+00:00:37,880 --> 00:00:45,280
+على ال reciprocating parts of an engine. أنا
+
+11
+00:00:45,280 --> 00:00:53,900
+عند هنا استخدام الكرانك عند هاي مركز دوران الكرانك
+
+12
+00:00:53,900 --> 00:00:57,640
+أو هاي الكرانك
+
+13
+00:01:04,480 --> 00:01:12,380
+و هاي ال connecting rod. هذه
+
+14
+00:01:12,380 --> 00:01:22,380
+OC، وهذه نقطة P، وهذه ال piston
+
+15
+00:01:22,380 --> 00:01:33,480
+الكراينك
+
+16
+00:01:33,480 --> 00:01:33,940
+بدور
+
+17
+00:01:38,240 --> 00:01:44,320
+بصورة على الزاوية omega clockwise، الزاوية مع الأفق
+
+18
+00:01:44,320 --> 00:01:48,400
+هذا
+
+19
+00:01:48,400 --> 00:01:54,820
+theta، والزاوية بيصويها ال connecting rod مع الأفق
+
+20
+00:01:54,820 --> 00:01:59,560
+هذا الزاوية في
+
+21
+00:02:08,590 --> 00:02:13,870
+الآن لو بدأ أعمل force analysis، و بدأت من عند ال
+
+22
+00:02:13,870 --> 00:02:18,270
+piston، هكون
+
+23
+00:02:18,270 --> 00:02:23,910
+عند ال piston، هنلق force analysis
+
+24
+00:02:39,620 --> 00:02:45,840
+هيكون في عندي هين جاي piston effort FP
+
+25
+00:02:45,840 --> 00:02:53,460
+في عندي normal force هين من الجدار بتاع الأستوانة
+
+26
+00:02:53,460 --> 00:03:01,760
+F normal، و في عندي وزن ال reciprocating parts
+
+27
+00:03:16,360 --> 00:03:23,840
+و فيه عندي force من
+
+28
+00:03:23,840 --> 00:03:32,240
+ال connecting rod في
+
+29
+00:03:32,240 --> 00:03:38,140
+هذا
+
+30
+00:03:38,140 --> 00:03:43,020
+بشكل أسئلة. لو أخدت ال piston، لو أخدت ال connecting
+
+31
+00:03:43,020 --> 00:03:43,400
+rod
+
+32
+00:03:47,140 --> 00:03:51,440
+أخدت ال connecting rod لحاله
+
+33
+00:03:51,440 --> 00:03:55,720
+هذا
+
+34
+00:03:55,720 --> 00:04:05,340
+ال connecting rod، هكون فيه عنده هذا
+
+35
+00:04:05,340 --> 00:04:15,420
+يسمى FQ، هذه FQ، هذه
+
+36
+00:04:15,420 --> 00:04:15,980
+زاوية في
+
+37
+00:04:19,080 --> 00:04:25,080
+طبعا هنا أنا .. I assume أنه .. I assume أنه ال ..
+
+38
+00:04:25,080 --> 00:04:27,780
+I'm neglecting ال weight ل ال connecting rod ال
+
+39
+00:04:27,780 --> 00:04:30,960
+weight of connecting rod is neglected.. neglected
+
+40
+00:04:30,960 --> 00:04:35,320
+تم إهمال وزن ال connecting rod، و it is two for
+
+41
+00:04:35,320 --> 00:04:42,540
+swim بربع نطوية. هيكون في عندي كمان هنا FQ
+
+42
+00:04:42,540 --> 00:04:47,800
+جاي من ال crank. جا أعمل لك رانك على ال connecting
+
+43
+00:04:47,800 --> 00:04:52,940
+rod، يعني
+
+44
+00:04:52,940 --> 00:05:06,660
+عندي هين عندي هين FN، عندي هين F piston effort، و
+
+45
+00:05:06,660 --> 00:05:09,260
+عندي الوزن of reciprocating parts WR
+
+46
+00:05:18,990 --> 00:05:22,670
+ال piston effort هو ال net force acting on the
+
+47
+00:05:22,670 --> 00:05:28,070
+piston along the line of stroke. ال piston effort
+
+48
+00:05:28,070 --> 00:05:36,150
+هو ال net force acting on the piston along the
+
+49
+00:05:36,150 --> 00:05:41,990
+line of stroke. يعني في هذا الاتجاه، مصدرها جاي من
+
+50
+00:05:41,990 --> 00:05:47,230
+ال pressure، في عند ال pressure على ال piston، طبعا
+
+51
+00:05:47,230 --> 00:05:56,310
+فيه هيقامه friction ف ال .. ال .. ال FP طبعا
+
+52
+00:05:56,310 --> 00:05:59,810
+هيقامه friction و inertia forces. هيقامه friction و
+
+53
+00:05:59,810 --> 00:06:03,850
+inertia forces. هذا ال piston اللي أنا كمله عندهين
+
+54
+00:06:03,850 --> 00:06:06,050
+بيصير بالشكل هذا
+
+55
+00:06:11,870 --> 00:06:24,370
+اللي هي مثلا هحكي mr في ال a بتاعة ال piston، أو
+
+56
+00:06:24,370 --> 00:06:33,150
+كنت أحكي بالشكل هذا. هي عندي ال piston علي
+
+57
+00:06:33,150 --> 00:06:37,490
+fn، في كمان friction resistance
+
+58
+00:06:42,960 --> 00:06:48,920
+في عندي FN، FN
+
+59
+00:06:48,920 --> 00:06:52,580
+وعندي
+
+60
+00:06:52,580 --> 00:07:01,360
+بدي أسميها هي F، F ال load، F ال load، وبحكي وعندي
+
+61
+00:07:01,360 --> 00:07:12,330
+ال inertia force اللي هي MR A piston. عندي FN و الـ
+
+62
+00:07:12,330 --> 00:07:17,530
+WR، وعندي
+
+63
+00:07:17,530 --> 00:07:23,050
+FQ
+
+64
+00:07:23,050 --> 00:07:26,110
+وعندي
+
+65
+00:07:26,110 --> 00:07:35,530
+اللي هي ال frictional force. يعني في عندي force due
+
+66
+00:07:35,530 --> 00:07:39,350
+to load، جامع ال pressure على ال piston، وفي ال
+
+67
+00:07:39,350 --> 00:07:43,850
+inertia force mr في ال acceleration، وفي عندي
+
+68
+00:07:43,850 --> 00:07:46,490
+fractional force، وفي عندي ال normal force من جدران
+
+69
+00:07:46,490 --> 00:07:53,830
+أسطوانة، وفي عندي وزن ال piston، وفي عندي اللي هو ال
+
+70
+00:07:53,830 --> 00:07:56,890
+force من ال connecting rod على ال piston
+
+71
+00:08:03,400 --> 00:08:06,460
+يعني حكينا ال .. ال .. ال .. ال FP، ال piston
+
+72
+00:08:06,460 --> 00:08:11,580
+effort هي ال net force acting along the line of
+
+73
+00:08:11,580 --> 00:08:16,480
+stroke. يعني ال net force بيهدى الاتجاه، معناته
+
+74
+00:08:16,480 --> 00:08:26,200
+ال FL، ال .. ال .. ال piston effort، هتكون ال
+
+75
+00:08:26,200 --> 00:08:33,350
+piston effort، ف بيستمر زي هي net force، عبارة عن ال
+
+76
+00:08:33,350 --> 00:08:39,210
+force due ت ال fl، إذا
+
+77
+00:08:39,210 --> 00:08:44,850
+it is accelerating، هتكون minus، إذا
+
+78
+00:08:44,850 --> 00:08:47,290
+it is decelerating، هتكون plus minus ال inertia
+
+79
+00:08:47,290 --> 00:08:52,250
+force، minus ال frictional force، minus ال
+
+80
+00:08:52,250 --> 00:08:56,210
+frictional force، هي RF هنسميها
+
+81
+00:09:00,000 --> 00:09:07,240
+RF، هين RF. معناته هذا ال free body diagram، هذا ال
+
+82
+00:09:07,240 --> 00:09:12,000
+original. هسير بالشكل
+
+83
+00:09:12,000 --> 00:09:16,600
+هذا اللي هو ال piston effort، لأن هاي ال piston
+
+84
+00:09:16,600 --> 00:09:21,600
+effort عبارة عن net force ناتجة عن ال load و ال
+
+85
+00:09:21,600 --> 00:09:27,660
+energy و ال friction. هتكون عندي F piston، F ال
+
+86
+00:09:27,660 --> 00:09:31,540
+piston effort، وعندي
+
+87
+00:09:31,540 --> 00:09:34,780
+ال
+
+88
+00:09:34,780 --> 00:09:47,040
+F normal، وعندي اللي هو WR، وعندي اللي هي F في Q
+
+89
+00:09:47,040 --> 00:09:48,940
+وهذا الزاوية عياش في
+
+90
+00:09:59,710 --> 00:10:05,150
+معناته أن الكتاب مش ماضحة. ال piston effort في
+
+91
+00:10:05,150 --> 00:10:09,810
+الأساس في ال free pedagram الأصلي عبارة عن ال load
+
+92
+00:10:09,810 --> 00:10:15,130
+due to pressure و ال inertia force ال mar في ال a
+
+93
+00:10:15,130 --> 00:10:18,830
+piston و ال frictional force. معناته أن ال piston
+
+94
+00:10:18,830 --> 00:10:23,340
+effort هو ال net force، محصلة fl و ال inertia و ال
+
+95
+00:10:23,340 --> 00:10:27,080
+friction force، اللي هي F P بيساوي F L minus plus F
+
+96
+00:10:27,080 --> 00:10:30,080
+I minus R F. واضح أنه لما كان ال piston it is
+
+97
+00:10:30,080 --> 00:10:34,460
+accelerating along this direction، كانت .. كانت ال
+
+98
+00:10:34,460 --> 00:10:37,640
+inertia بالاتجاه هذا، معناه أن ال inertia بتعكسني
+
+99
+00:10:37,640 --> 00:10:41,140
+when it is accelerating، عشان كده صارت minus. إذا كان
+
+100
+00:10:41,140 --> 00:10:44,960
+decelerating، هيكون بيساعدني، هيكون ان دي بيصير plus
+
+101
+00:10:44,960 --> 00:10:46,880
+F I minus R F
+
+102
+00:10:50,500 --> 00:10:57,980
+الآن ال inertia force، ال inertia force، ال fi
+
+103
+00:10:57,980 --> 00:11:02,140
+قيمتها بتساوي
+
+104
+00:11:02,140 --> 00:11:12,660
+ال mr في ال AP. يعني هتكون ال mr، هاي ال AP هتكون mr
+
+105
+00:11:12,660 --> 00:11:24,120
+في omega square r في cosine theta، زائد cosine two
+
+106
+00:11:24,120 --> 00:11:34,160
+theta على n. هذه ال inertia force. نعود لل load
+
+107
+00:11:34,160 --> 00:11:34,760
+force
+
+108
+00:11:52,710 --> 00:11:56,730
+في حياتي ال engine كان أفقيا، يعني ال piston بتتحرك
+
+109
+00:11:56,730 --> 00:11:59,930
+بهذا الاتجاه. هذا horizontal، vertical، ال piston
+
+110
+00:11:59,930 --> 00:12:01,090
+بتتحرك بهذا الاتجاه
+
+111
+00:12:03,730 --> 00:12:06,570
+the reciprocating parts are accelerated from rest
+
+112
+00:12:06,570 --> 00:12:10,830
+when piston moves from inner dead center to outer
+
+113
+00:12:10,830 --> 00:12:14,090
+dead center. يعني بيكون ال acceleration اللي ال
+
+114
+00:12:14,090 --> 00:12:16,770
+piston في حالة تسارع لما بتحرك من ال top dead
+
+115
+00:12:16,770 --> 00:12:19,570
+center لل bottom dead center. يعني من أقصى نقطة
+
+116
+00:12:19,570 --> 00:12:22,710
+لأعلى، نقطة بيكون في acceleration، وبيصير في حالة
+
+117
+00:12:22,710 --> 00:12:25,950
+deceleration لما بتحرك من ال bottom dead center لل
+
+118
+00:12:25,950 --> 00:12:27,270
+top dead center
+
+119
+00:12:32,940 --> 00:12:36,060
+ال inertia force due to acceleration of respondent
+
+120
+00:12:36,060 --> 00:12:44,040
+parts، بتعاكس ال force على ال piston، اللي بتعاكس ال
+
+121
+00:12:44,040 --> 00:12:47,740
+fl. معناته أن الحالة اللي إحنا حاولنا تكون minus fi
+
+122
+00:12:47,740 --> 00:12:50,400
+إذا كان عندي acceleration، إذا كان عندي retardation
+
+123
+00:12:50,400 --> 00:12:54,300
+يعني عندي acceleration بتساعدني، بيصير ال piston
+
+124
+00:12:54,300 --> 00:12:58,020
+effort fl plus fi minus rf
+
+125
+00:13:01,800 --> 00:13:05,560
+زي ما حكينا ال piston effort هي ال net load on the
+
+126
+00:13:05,560 --> 00:13:10,060
+piston، اللي هو عبارة عن fl minus plus fi minus rf
+
+127
+00:13:10,060 --> 00:13:15,340
+ال negative sign is used في حالة كلا من دي
+
+128
+00:13:15,340 --> 00:13:20,900
+acceleration، ال piston is accelerating، بتكون plus
+
+129
+00:13:20,900 --> 00:13:27,720
+في حالة ال piston is decelerating، ال
+
+130
+00:13:27,720 --> 00:13:28,400
+F load
+
+131
+00:13:31,250 --> 00:13:35,570
+لكن ال F load جاية نتيجة ال pressure، نتيجة ال
+
+132
+00:13:35,570 --> 00:13:40,850
+pressure. هتكون ال F load، هاي ال piston، هاي الطرف
+
+133
+00:13:40,850 --> 00:13:44,750
+لل piston، وهاي الطرف في عندي هتسميها area، ال area
+
+134
+00:13:44,750 --> 00:13:57,270
+هين بتكون A1، و ال area هين A2. ال F L هتكون A1
+
+135
+00:13:58,210 --> 00:14:07,910
+P1 minus A2 P2. ال P1 هو ال pressure مواجه مباشرة
+
+136
+00:14:07,910 --> 00:14:12,490
+لل piston، ال P2 هو ال pressure عكس ال piston، يعني
+
+137
+00:14:12,490 --> 00:14:15,810
+في حالة double acting steam engine بيكون في
+
+138
+00:14:15,810 --> 00:14:24,570
+pressure P1 و P2. طيب
+
+139
+00:14:33,030 --> 00:14:38,530
+في حالة vertical engine، يعني ال piston كان متحرك
+
+140
+00:14:38,530 --> 00:14:47,090
+بالاتجاه الرأسي، ال weight of reciprocating parts
+
+141
+00:14:47,090 --> 00:14:54,760
+وزن ال piston بساعدني وأنا نازل، يعني جاي من ال top
+
+142
+00:14:54,760 --> 00:14:58,420
+of the center لل bottom، بساعدني وبعكسني وأنا طالع
+
+143
+00:14:58,420 --> 00:15:02,160
+بعكسني وأنا طالع. في الحالة هذه ال piston effort
+
+144
+00:15:03,050 --> 00:15:05,550
+وأنا نازل من ال top dead center لل bottom dead
+
+145
+00:15:05,550 --> 00:15:10,230
+center، ال piston will be fl minus plus fi plus or
+
+146
+00:15:10,230 --> 00:15:16,030
+minus wr minus rf. وأنا نازل بيكون عندي plus wr
+
+147
+00:15:16,030 --> 00:15:20,870
+بتعكسني ال inertia force، وبساعدني وزن ال piston، و
+
+148
+00:15:20,870 --> 00:15:25,880
+ال friction ده بيعكسني، وأنا طالع بيكون عندي ال
+
+149
+00:15:25,880 --> 00:15:30,660
+inertia force بتساعدني، ووزن ال .. ال .. ال
+
+150
+00:15:30,660 --> 00:15:34,520
+.. ال piston بيعكسني، و ال friction is always أنه
+
+151
+00:15:34,520 --> 00:15:43,520
+عكس اللي بتعكس تجاه الحركة. طيب
+
+152
+00:15:43,520 --> 00:15:49,940
+لأن
+
+153
+00:15:49,940 --> 00:15:53,800
+ال FQ، أنا عندي هنا حكاية، أنا عندي هنا هاي
+
+154
+00:15:56,830 --> 00:16:06,650
+ال O، وهي ال C، هذه ال crank، وهذه
+
+155
+00:16:06,650 --> 00:16:10,550
+ال piston، هذه
+
+156
+00:16:10,550 --> 00:16:18,170
+P. هنا حكينا ال FQ، ال
+
+157
+00:16:18,170 --> 00:16:22,530
+FQ بيساوي ال piston effort. ال FQ
+
+158
+00:16:25,720 --> 00:16:29,960
+بيساوي ال piston effort، أو نحكي الفي كيو كوساين
+
+159
+00:16:29,960 --> 00:16:35,000
+الفاي، الفي كيو كوساين
+
+160
+00:16:35,000 --> 00:16:41,340
+الفاي بيساوي ال piston effort. يعني الفي كيو بيساوي
+
+161
+00:16:41,340 --> 00:16:51,960
+piston effort على كوساين الفاي. الآن
+
+162
+00:16:51,960 --> 00:16:53,080
+هذه الفي كيو
+
+163
+00:16:56,480 --> 00:17:02,700
+نقلت لهنا، بعدين حللتها لمُركّبة ثانية، مركبة في
+
+164
+00:17:02,700 --> 00:17:14,220
+اتجاه الكرانك FB، ومُركّبة عمودية على
+
+165
+00:17:14,220 --> 00:17:25,970
+الكرانك FT. الزاوية هادية θ، والزاوية هذه Phi. معناته
+
+166
+00:17:25,970 --> 00:17:32,010
+هذه الزاوية هتكون زاوية خارج المثلث، Theta زائد Phi
+
+167
+00:17:32,010 --> 00:17:46,470
+طيب
+
+168
+00:17:51,810 --> 00:17:57,330
+الآن FQ حللتها لمركبتين، مركبة عمودية على ال crank
+
+169
+00:17:57,330 --> 00:18:10,370
+و مركبة في اتجاه ال crank. ال F T بيساوي
+
+170
+00:18:10,370 --> 00:18:15,410
+ال FQ، ال
+
+171
+00:18:15,410 --> 00:18:19,770
+F T بيساوي ال FQ كوساين
+
+172
+00:18:22,660 --> 00:18:32,080
+الثيتا زائد في. كوساين الثيتا زائد
+
+173
+00:18:32,080 --> 00:18:36,100
+في، ال
+
+174
+00:18:36,100 --> 00:18:44,480
+FQ عبارة عن FP في
+
+175
+00:18:44,480 --> 00:18:52,190
+ال FQ، FP على الجذر التربيعي لواحد ناقص sin تربيع θ
+
+176
+00:18:52,190 --> 00:19:05,530
+على n تربيع في sin θ زائد في. يعني
+
+177
+00:19:05,530 --> 00:19:18,290
+هتساوي ال FB في هذا، هتكون sin θ كوساين في زائد cos θ
+
+178
+00:19:18,290 --> 00:19:34,990
+sin في على cos في. يعني ال F T هتساوي FP في sin θ
+
+179
+00:19:34,990 --> 00:19:50,310
+زائد cos θ في sin في على cos في. يعني هتساوي FP في
+
+180
+00:19:50,310 --> 00:20:04,990
+sin θ زائد cos θ tan Phi. لأن إحنا نرجع ل Phi هاي
+
+181
+00:20:04,990 --> 00:20:14,130
+Phi، هاي sin θ، وهاي N. هذا الجذر التربيعي لواحد تربيع
+
+182
+00:20:14,130 --> 00:20:23,570
+ناقص sin تربيع ثيتا. معناته tan phi هتكون
+
+183
+00:20:23,570 --> 00:20:29,930
+تساوي sin ثيتا على
+
+184
+00:20:29,930 --> 00:20:37,410
+الجذر التربيعي لواحد تربيع minus sin تربيع ثيتا
+
+185
+00:20:44,600 --> 00:20:49,360
+ال FT بتساوي
+
+186
+00:20:49,360 --> 00:21:02,600
+ال FB في sin θ زائد cos θ of tan phi. يعني هيكون cos
+
+187
+00:21:02,600 --> 00:21:13,310
+θ في sin θ على الجذر التربيعي لواحد تربيع minus sin
+
+188
+00:21:13,310 --> 00:21:32,990
+تربيع ثيتا. هذا هو ال Ft الآن
+
+189
+00:21:32,990 --> 00:21:41,810
+ال Ft، ال Torque. ال F T هتعمل إيه؟ ال Torque هيكون
+
+190
+00:21:41,810 --> 00:21:49,070
+ال radius تاع الكرانك في ال F T. يعني ال Torque
+
+
+223
+00:25:58,830 --> 00:26:06,150
+نشوف
+
+224
+00:26:06,150 --> 00:26:07,470
+مثلًا، نحل أمثلة
+
+225
+00:26:22,770 --> 00:26:26,250
+Find the inertia force for the following data of
+
+226
+00:26:26,250 --> 00:26:29,670
+an internal combustion engine أو الـ inertia force دا
+
+227
+00:26:29,670 --> 00:26:33,470
+البيانات التانية للمحرك احتراق داخلي، معطيني الـ
+
+228
+00:26:33,470 --> 00:26:38,150
+bore بتاعة الـ piston مائة وسبعين ملي متر، و الـ
+
+229
+00:26:38,150 --> 00:26:44,210
+stroke مائتين ملي متر، و الـ engine speed خمسمائة rpm، و
+
+230
+00:26:44,210 --> 00:26:48,840
+الـ length of connecting rod أربعمئة ملي، و الـ crank
+
+231
+00:26:48,840 --> 00:26:53,940
+angle ستين درجة from inner dead center، و الـ mass
+
+232
+00:26:53,940 --> 00:26:57,600
+of reciprocating parts مائة وثمانين كيلو جرام، الآن
+
+233
+00:26:57,600 --> 00:27:03,480
+الـ inertia force  بسوء
+
+234
+00:27:03,480 --> 00:27:08,100
+mr في الـ acceleration بتاعة الـ piston، يعني هتكون
+
+235
+00:27:08,100 --> 00:27:17,630
+mr acceleration بتاع الـ piston هي omega square R ب
+
+236
+00:27:17,630 --> 00:27:34,550
+cos θ زائد cos 2θ على N، الآن الـ MR معطينيها اللي هي
+
+237
+00:27:34,550 --> 00:27:42,150
+كام قيمة الـ MR؟ مائة وثمانين كيلو جرام، والـ
+
+238
+00:27:42,150 --> 00:27:42,610
+Omega
+
+239
+00:27:47,150 --> 00:27:54,910
+معطيني الآن هو معطيني خمسمائة في اثنين باي على ستين
+
+240
+00:27:54,910 --> 00:28:10,950
+يعني لو حسبنا خمسمائة في اثنين باي على ستين، خمسمائة
+
+241
+00:28:10,950 --> 00:28:14,030
+في
+
+242
+00:28:14,030 --> 00:28:21,610
+اثنين في ثلاثة point واحد أربعة، تقسيم ستين، تطلع
+
+243
+00:28:21,610 --> 00:28:25,790
+اثنين وخمسين point
+
+244
+00:28:25,790 --> 00:28:32,270
+ثلاثة radian per second، هذي الـ omega، الـ
+
+245
+00:28:32,270 --> 00:28:36,710
+R هو الـ rate of crank، الـ R بيساوي، الـ R عبارة عن
+
+246
+00:28:36,710 --> 00:28:45,270
+الـ stroke على اثنين، الـ stroke معطينيها مائتين على
+
+247
+00:28:45,270 --> 00:28:47,710
+اثنين، مائة millimeter
+
+248
+00:28:55,670 --> 00:29:02,470
+الآن اللي هي الـ L على R اللي معطينيها أربعمئة
+
+249
+00:29:02,470 --> 00:29:11,970
+على مائة اللي هي أربعة، ومعطيني الـ theta، الـ theta
+
+250
+00:29:11,970 --> 00:29:17,070
+معطينيها ستين درجة، ستين درجة، معناته الـ inertia
+
+251
+00:29:17,070 --> 00:29:23,490
+force، FI، هتكون، الـ MR اللي هي مائة وثمانين في الـ
+
+252
+00:29:23,490 --> 00:29:27,190
+omega square اللي هي اثنين وخمسين point ثلاثة
+
+253
+00:29:27,190 --> 00:29:38,090
+تربيع، في الـ R point واحد، في الـ cosine الستين درجة
+
+254
+00:29:38,090 --> 00:29:47,430
+زائد cosine المائة وعشرين درجة على أربعة، يعني هتكون
+
+255
+00:29:47,430 --> 00:29:48,550
+ساوي مائة وثمانين
+
+256
+00:29:56,670 --> 00:30:04,310
+مائة وثمانين في اثنين وخمسين point ثلاثة تربيع في
+
+257
+00:30:04,310 --> 00:30:12,030
+point واحد، بتطلع تسعة وأربعين ألف واثنين وخمسة وثلاثين
+
+258
+00:30:12,030 --> 00:30:15,310
+و ثلاثين cosine ستين اللي هي نصف
+
+259
+00:30:19,630 --> 00:30:27,930
+ناقص نصف على أربعة، ناقص point واحد اثنين
+
+260
+00:30:27,930 --> 00:30:37,430
+خمسة، يعني نصف
+
+261
+00:30:43,240 --> 00:30:48,300
+ناقص point واحد اثنين خمسة في تسعة وأربعين ألف
+
+262
+00:30:48,300 --> 00:30:57,500
+ومئتين وخمسة وثلاثين، تطلع ثمانية عشر ألف، أربعمئة
+
+263
+00:30:57,500 --> 00:31:00,700
+وثلاثة وستين نيوتن
+
+264
+00:31:02,750 --> 00:31:10,390
+يعني تقريبًا حوالي اثنين طن، يعني كأنه ثقل اثنين طن
+
+265
+00:31:10,390 --> 00:31:14,570
+كأنه ثقل اثنين طن، يعني واضح الـ inertia forces is
+
+266
+00:31:14,570 --> 00:31:19,650
+huge، يعني بتشكل رقم كبير في الـ internal combustion
+
+267
+00:31:19,650 --> 00:31:25,670
+engines، طيب
+
+268
+00:31:25,670 --> 00:31:27,570
+هيك بيكون حسبنا الـ inertia force
+
+269
+00:31:31,990 --> 00:31:42,310
+نشوف مثال ثاني، The crank
+
+270
+00:31:42,310 --> 00:31:45,670
+of a horizontal angel is three hundred millimeters
+
+271
+00:31:45,670 --> 00:31:50,570
+نعطيه الـ crank، الـ R بيساوي
+
+272
+00:31:50,570 --> 00:31:53,270
+ثلاثمائة مليمتر
+
+273
+00:31:55,190 --> 00:31:58,190
+the mass of reciprocating parts is مائتين وخمسين
+
+274
+00:31:58,190 --> 00:32:02,790
+kilogram، يعني
+
+275
+00:32:02,790 --> 00:32:12,390
+الـ MR معطيني مائتين وخمسين kilogram، when
+
+276
+00:32:12,390 --> 00:32:15,090
+the crank has traveled six degrees from inner dead
+
+277
+00:32:15,090 --> 00:32:19,870
+center، theta بيساوي
+
+278
+00:32:19,870 --> 00:32:29,830
+ستين درجة،الاختلاف بين السرعات والدراجات والدراجات
+
+279
+00:32:29,830 --> 00:32:32,650
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+280
+00:32:32,650 --> 00:32:33,530
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+281
+00:32:33,530 --> 00:32:33,830
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+282
+00:32:33,830 --> 00:32:33,870
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+283
+00:32:33,870 --> 00:32:35,650
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+284
+00:32:35,650 --> 00:32:40,290
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+285
+00:32:40,290 --> 00:32:40,350
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+286
+00:32:40,350 --> 00:32:42,910
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+287
+00:32:42,910 --> 00:32:43,090
+والدراج
+
+288
+00:32:47,170 --> 00:32:52,070
+القطر  التواصل بين مركزها هو 1.2 متر، طول الـ
+
+289
+00:32:52,070 --> 00:33:00,550
+connecting rod واحد  .12 وعشرة متر، الـ
+
+290
+00:33:00,550 --> 00:33:07,330
+cylinder bore اللي هو القطر الـ cylinder اللي هو نصف
+
+291
+00:33:07,330 --> 00:33:14,010
+متر، إذا
+
+292
+00:33:14,010 --> 00:33:18,050
+كانت السيارة تعمل في 250 ربيام،  الـ engine الآن بتاعة
+
+293
+00:33:18,050 --> 00:33:25,570
+الـ engine مائتين وخمسين rpm، and
+
+294
+00:33:25,570 --> 00:33:29,450
+if the effects of piston rod is neglected، الـ
+
+295
+00:33:29,450 --> 00:33:36,090
+piston rod اللي هو من جهة الـ connecting rod قطره
+
+296
+00:33:36,090 --> 00:33:43,030
+تم اهماله، بدك تحسب piston effort، العكس هذا الـ
+
+297
+00:33:43,030 --> 00:33:43,750
+piston effort
+
+298
+00:33:46,530 --> 00:33:50,610
+هو الـ net force along the line of stroke، عبارة عن
+
+299
+00:33:50,610 --> 00:34:02,930
+الـ FL ناقص أو زائد الـ inertia force اللي
+
+300
+00:34:02,930 --> 00:34:06,970
+هو حط راح منها كمان ناقص الـ friction، على فرض تم
+
+301
+00:34:06,970 --> 00:34:13,550
+همل الـ friction، هاي الـ piston effort، نرجع لها ناقص
+
+302
+00:34:13,550 --> 00:34:19,430
+الـ friction horizontal، ناقص الـ RF لـ friction
+
+303
+00:34:19,430 --> 00:34:30,690
+الآن الـ load FL هتكون، بيساوي باي على أربعة مساحة
+
+304
+00:34:30,690 --> 00:34:41,150
+المقطع، دي تربيع، في delta P، بيكون باي على أربعة في
+
+305
+00:34:41,150 --> 00:34:50,080
+دي تربيع، في point خمسة تربيع في
+
+306
+00:34:50,080 --> 00:35:04,060
+دلتا P بيكون ثلاثة خمسة في عشرة وستة
+
+307
+00:35:04,060 --> 00:35:08,200
+يعني
+
+308
+00:35:08,200 --> 00:35:12,720
+باي على أربعة في بيكون
+
+309
+00:35:12,720 --> 00:35:15,280
+خمسة
+
+310
+00:35:19,940 --> 00:35:31,360
+تقريبًا ثلاثة خمسة بيطلع
+
+311
+00:35:31,360 --> 00:35:38,900
+ثمانية وستين ألف، ثمانية وستين ألف وستمائة
+
+312
+00:35:38,900 --> 00:35:42,540
+وثمانية وثمانين نيوتن
+
+313
+00:35:47,870 --> 00:35:58,390
+الـ F، الـ inertia force، بيساوي MR أوميجا سكوير R
+
+314
+00:35:58,390 --> 00:36:10,570
+في cos θ زائد cos 2θ على N، الـ MR أنا عندي مائتين وخمسين
+
+315
+00:36:10,570 --> 00:36:24,620
+معروفة، الأميجا هتكون عندي مائتين وخمسين اثنين باي على ستين
+
+316
+00:36:24,620 --> 00:36:36,960
+تطلع
+
+317
+00:36:36,960 --> 00:36:44,500
+ستة وعشرين point واحد سبعة radian per second، هذا
+
+318
+00:36:44,500 --> 00:36:54,240
+الـ omega، الـ R معطينيها ثلاثمائة ملي، الـ N اللي هي L
+
+319
+00:36:54,240 --> 00:37:00,740
+على R، الـ L معطينيها واحد واثنين من عشرة، والـ R
+
+320
+00:37:00,740 --> 00:37:08,200
+ثلاثة من عشرة، يعني أربعة، الـ N منطقي
+
+321
+00:37:08,200 --> 00:37:15,600
+الـ FI هتكون، الـ MR اللي هي مائتين وخمسين
+
+322
+00:37:18,790 --> 00:37:22,270
+في الـ omega اللي هي ستة وعشرين point واحد سبعة
+
+323
+00:37:22,270 --> 00:37:33,050
+تربيع، في الـ R اللي هي point ثلاثة، في cosine الستين
+
+324
+00:37:33,050 --> 00:37:40,710
+زائد cosine المائة وعشرين على أربعة
+
+325
+00:37:51,140 --> 00:38:09,500
+هتكون عند مئتين وخمسين، بتطلع
+
+326
+00:38:09,500 --> 00:38:13,920
+تسعة عشر ألف و
+
+327
+00:38:13,920 --> 00:38:21,200
+مئتين واثنين وستين نيوتن، هذه الـ inertia force
+
+328
+00:38:21,200 --> 00:38:31,320
+طبعًا هنا let us assume أن RF مهملة، تقريبًا، بالساعة سفر
+
+329
+00:38:31,320 --> 00:38:38,940
+معناته الـ piston effort هي ساوي الـ FL اللي هو
+
+330
+00:38:38,940 --> 00:38:45,600
+ثمانية وستين ألف وستمائة وثمانية وثمانين، الآن
+
+331
+00:38:45,600 --> 00:38:48,680
+احنا ستين درجة في المصدر، معناته x درجة ماهي تكون
+
+332
+00:38:48,680 --> 00:38:53,520
+ناقص، هنطرح ناقص ستة عشر ألف، اثنين ستة اثنين
+
+333
+00:38:53,520 --> 00:38:58,940
+يعني هتكون piston effort ثمانية
+
+334
+00:38:58,940 --> 00:39:04,880
+ستون ألف، ستة ثمانية ثمانية، ناقص ستة عشر ألف اثنين
+
+335
+00:39:04,880 --> 00:39:11,440
+ستة اثنين، تطلع تسعة وعشرين ألف، أربعمئة وستة وعشرين
+
+336
+00:39:11,440 --> 00:39:13,380
+نيوتن، هذا الـ piston effort
+
+337
+00:39:22,400 --> 00:39:30,640
+بدو الـ thrust in connecting rod، يعني بده FQ، FQ
+
+338
+00:39:30,640 --> 00:39:37,380
+بيساوي
+
+339
+00:39:37,380 --> 00:39:41,460
+FB على cos Φ
+
+340
+00:39:51,420 --> 00:40:00,340
+بس احنا بنعرف cosine Φ بيساوي cosine θ على N، يعني
+
+341
+00:40:00,340 --> 00:40:04,180
+cosine
+
+342
+00:40:04,180 --> 00:40:15,360
+الستين على أربعة، ومنها بحسب الثيتا
+
+343
+00:40:15,360 --> 00:40:18,360
+بحسب الثيتا
+
+344
+00:40:25,060 --> 00:40:26,460
+مش عارف كده
+
+345
+00:41:13,570 --> 00:41:19,650
+طيب، طيب بحسب منها الـ theta بعد... بحسب الـ ... الـ ...
+
+346
+00:41:19,650 --> 00:41:26,850
+بحسب الـ Φ مش الـ theta، منها بحسب الـ Φ بعد
+
+347
+00:41:26,850 --> 00:41:31,650
+بحسب الـ FQ، اذا و FP على cosine الـ Φ، FQ
+
+348
+00:41:31,650 --> 00:41:35,730
+اذا و FP على cosine الـ Φ، بدنا نحسب الـ
+
+349
+00:41:35,730 --> 00:41:39,690
+tangential force، الـ FT، الـ FT
+
+350
+00:41:50,000 --> 00:41:59,520
+الـ FT هاي معادلة الـ FT، الـ
+
+351
+00:41:59,520 --> 00:42:05,580
+FT اللي هي F بيساوي FP
+
+352
+00:42:05,580 --> 00:42:08,820
+SIN
+
+353
+00:42:08,820 --> 00:42:19,830
+ثيتا زائد في على cosine في، أنا عارف الـ FB وعارف الـ
+
+354
+00:42:19,830 --> 00:42:23,650
+theta اللي هي ستين، وعارف الـ في اللي حسبته، بحسب الـ
+
+355
+00:42:23,650 --> 00:42:35,390
+FT، وبعدين بده الـ torque T بيساوي R في الـ FT، بيساوي R
+
+356
+00:42:35,390 --> 00:42:39,800
+في الـ FT، الـ crank and connecting rod of a petrol
+
+357
+00:42:39,800 --> 00:42:45,300
+engine turning at 1800 rpm، عند الـ petrol engine
+
+358
+00:42:45,300 --> 00:42:53,800
+سرعة المحرك تبعه ألف وثمانمائة دورة في الدقيقة
+
+359
+00:42:53,800 --> 00:43:02,040
+مائتي، طول الـ crank الـ R خمسين ملي، وطول الـ
+
+360
+00:43:02,040 --> 00:43:08,560
+connecting rod مائتين ملي متر، يعني automatically هحسب
+
+361
+00:43:08,560 --> 00:43:15,760
+الـ N بيساوي L على R اللي هي مائتان على خمسين بيساوي
+
+362
+00:43:15,760 --> 00:43:19,420
+أربعة، The
+
+363
+00:43:19,420 --> 00:43:22,780
+diameter of the piston is eighty millimeters، قطر
+
+364
+00:43:22,780 --> 00:43:31,820
+الـ piston دي بيساوي ثمانين مليمتر، The mass of
+
+365
+00:43:31,820 --> 00:43:37,860
+reciprocating parts is one kilogram، الـ MR بيساوي واحد
+
+366
+00:43:37,860 --> 00:43:43,620
+point او كيلو gram، at a point during the power
+
+367
+00:43:43,620 --> 00:43:48,720
+stroke، في لحظة في الـ power stroke، pressure in
+
+368
+00:43:48,720 --> 00:43:51,500
+piston is point سبعة نيوتن على الـ millimeter square
+
+369
+00:43:51,500 --> 00:43:56,200
+pressure on piston، كان ده الـ pressure على الـ
+
+370
+00:43:56,200 --> 00:43:56,540
+piston
+
+371
+00:44:02,290 --> 00:44:14,050
+الـ pressure P بيساوي سبعة أميجا باسكال، When it has
+
+372
+00:44:14,050 --> 00:44:17,410
+moved ten millimeters from inner dead center، يعني
+
+373
+00:44:17,410 --> 00:44:23,310
+اتحرك من مسافة عشرة مليمتر، يعني X بيساوي عشرة
+
+374
+00:44:23,310 --> 00:44:28,890
+مليمتر، Determine
+
+375
+00:44:28,890 --> 00:44:36,880
+net load on piston، بدك تحسب يعني بدك تحسب الـ
+
+376
+00:44:36,880 --> 00:44:47,820
+piston effort، بدك تحسب الـ piston effort، هذا
+
+377
+00:44:47,820 --> 00:44:48,520
+المطلوب الأول
+
+378
+00:44:54,500 --> 00:44:57,300
+حكينا الـ piston effort هو الـ net load، الـ piston
+
+379
+00:44:57,300 --> 00:45:05,500
+effort، الـ FP بيساوي FL ناقص أو زائد الـ inertia
+
+380
+00:45:05,500 --> 00:45:11,460
+force، ناقص الـ friction force، let us assume أن الـ
+
+381
+00:45:11,460 --> 00:45:19,880
+RF تقريبًا is neglected، zero، معناته هتصير هذه FL
+
+382
+00:45:19,880 --> 00:45:23,560
+ناقص أو زائد الـ inertia force
+
+383
+00:45:29,220 --> 00:45:35,720
+طيب، الـ FL هتكون، بيساوي مساحة مقطع الـ piston، باي على
+
+384
+00:45:35,720 --> 00:45:41,580
+أربعة دي square في الـ pressure، يعني هتكون، إن الـ باي
+
+385
+00:45:41,580 --> 00:45:48,440
+على أربعة، في دي، القطر
+
+386
+00:45:48,440 --> 00:45:54,600
+الثمانين millimeter، في ثمانين تربيع، في سبعة
+
+387
+00:45:55,940 --> 00:46:04,860
+حسبنا الـ FL، يعني
+
+388
+00:46:04,860 --> 00:46:18,540
+عندي باي على أربعة، تطلع
+
+389
+00:46:18,540 --> 00:46:23,920
+ثلاثة آلاف وخمسمائة وسبعة عشر، ثلاثة آلاف وخمسمائة
+
+390
+00:46:23,920 --> 00:46:31,210
+وسبعة عشر نيوتن، الـ
+
+391
+00:46:31,210 --> 00:46:40,370
+inertia force، FI، أو يعني الـ FI، الـ FI بيساوي MR
+
+392
+00:46:40,370 --> 00:46:50,910
+في omega square R، في cosine θ زائد cosine 2
+
+393
+00:46:50,910 --> 00:46:59,360
+θ على N، لأن أنا θ مش عارفها، بس عارف X، الـ X
+
+394
+00:46:59,360 --> 00:47:04,440
+عندها، شو بيساوي، من X بقى أحسب الثيتا، الـ X بيساوي R
+
+395
+00:47:04,440 --> 00:47:17,680
+في واحد ناقص cosine θ زائد sin تربيع θ على
+
+396
+00:47:17,680 --> 00:47:32,350
+اثنين N، الـ X عندها كام؟عشرة، و الـ R خمسين، خمسين
+
+397
+00:47:32,350 --> 00:47:37,930
+في واحد
+
+398
+00:47:37,930 --> 00:47:46,470
+ناقص cosine θ زائد sin تربيع θ على اثنين
+
+399
+00:47:46,470 --> 00:47:51,190
+في N، N اللي هي أربعة حسبناها
+
+400
+00:48:00,700 --> 00:48:04,240
+خليني أبسطها، عشرة على خمسة اثنين من عشرة، اثنين من
+
+401
+00:48:04,240 --> 00:48:18,100
+عشرة بتساوي واحد ناقص cosine θ زائد point point
+
+402
+00:48:18,100 --> 00:
+
+445
+00:53:52,010 --> 00:53:52,470
+ال omega
+
+446
+00:53:55,750 --> 00:54:06,390
+الامجا احنا ما حسبناش الامجا بساوي
+
+447
+00:54:06,390 --> 00:54:18,550
+الف تونمية في اتنين باي على ستين الف
+
+448
+00:54:18,550 --> 00:54:26,590
+تونمية في اتنين في باي تقسيم ستين تطلع مية و تمانية
+
+449
+00:54:26,590 --> 00:54:31,750
+و تمانين point four راديان
+
+450
+00:54:31,750 --> 00:54:38,130
+لكل second يعني ال FI هتكون مية و تمانية و
+
+451
+00:54:38,130 --> 00:54:42,550
+تمانين point four تربيع
+
+452
+00:54:42,550 --> 00:54:49,030
+في ال R ال R عندي خمسين في point O
+
+453
+00:54:51,920 --> 00:54:56,320
+خمسة في cosine theta اللي أنا حسبته من هنا في
+
+454
+00:54:56,320 --> 00:55:06,520
+cosine theta زائد cosine two theta على
+
+455
+00:55:06,520 --> 00:55:12,400
+n اللي هي اربعة على اربعة ومنها بحسب ال
+
+456
+00:55:12,400 --> 00:55:15,640
+inertia force ال inertia force
+
+457
+00:55:18,520 --> 00:55:24,600
+بس خليني بدي أنا احسب ال theta عشان
+
+458
+00:55:24,600 --> 00:55:26,120
+أعرف حالي أنا وين
+
+459
+00:55:47,440 --> 00:55:53,960
+المعادلة اللي عندي اللي هو جذر 93.6 ناقص 8 على 2
+
+460
+00:55:53,960 --> 00:55:59,960
+جذر 93.6
+
+461
+00:55:59,960 --> 00:56:04,560
+تحت
+
+462
+00:56:04,560 --> 00:56:14,590
+الجذر ناقص 8 على 2 تطلع cos θ بتساوي point تمانية
+
+463
+00:56:14,590 --> 00:56:21,050
+ثلاثة سبعة أربعة point ثمانية ثلاثة point ثمانية
+
+464
+00:56:21,050 --> 00:56:24,170
+cos
+
+465
+00:56:24,170 --> 00:56:30,490
+θ تطلع point ثمانية ثلاثة
+
+466
+00:56:30,490 --> 00:56:35,750
+سبعة أربعة هذا
+
+467
+00:56:35,750 --> 00:56:36,450
+هو cos θ
+
+468
+00:56:44,750 --> 00:56:46,670
+هتكون صغيرة ثيتا
+
+469
+00:58:00,570 --> 00:58:07,170
+أنا عندي point zero point ثمانية ثلاثة سبعة أربعة
+
+470
+00:58:07,170 --> 00:58:14,390
+اللي هو cosine inverse تطلع
+
+471
+00:58:14,390 --> 00:58:17,910
+ثلاثة و ثلاثين point ثلاثة عشر  ثلاثة و ثلاثين ثيتا
+
+472
+00:58:17,910 --> 00:58:25,350
+ثلاثة و ثلاثين point ثلاثة عشر degree يعني أنا هأخذ
+
+473
+00:58:25,350 --> 00:58:33,590
+عندي هنا في cosine في cosine ثلاثة و ثلاثين point ثلاثة
+
+474
+00:58:33,590 --> 00:58:39,170
+عشر زائد cosine ستة
+
+475
+00:58:39,170 --> 00:58:47,430
+و ستين degree على على
+
+476
+00:58:47,430 --> 00:58:50,930
+N على أربعة
+
+477
+00:58:50,930 --> 00:58:53,030
+يعني أنا هيكون عندي ال FI
+
+478
+00:59:04,420 --> 00:59:10,020
+ثلاثة عشر كو ساين زائد
+
+479
+00:59:32,050 --> 00:59:39,410
+طيب المهم فبحسب ال fi مضطر لها قيمة بعدين هحسب
+
+480
+00:59:39,410 --> 00:59:42,830
+piston effort في الحالة هذه أنا معناته I am
+
+481
+00:59:42,830 --> 00:59:45,870
+accelerating معناته هتكون piston effort هتكون fl
+
+482
+00:59:45,870 --> 00:59:55,530
+ناقص ال fi هي حسبنا ال piston effort حسبنا ال
+
+483
+00:59:55,530 --> 00:59:56,450
+piston effort
+
+484
+01:00:05,020 --> 01:00:16,280
+هذا المطلوب الأول المطلوب الثاني ال trust
+
+485
+01:00:16,280 --> 01:00:25,260
+in connecting rods يعني بده FQ FQ بس هو FP على
+
+486
+01:00:25,260 --> 01:00:31,420
+cosine الفاي sine الفاي
+
+487
+01:00:33,910 --> 01:00:42,630
+بساوي sin θ على n يعني هتكون ساوي sin الـ 33.13
+
+488
+01:00:42,630 --> 01:00:49,530
+على n اللي هي أربعة و منها بحسب الفاي بعدين
+
+489
+01:00:49,530 --> 01:00:51,890
+بحسب ال FQ
+
+490
+01:00:59,380 --> 01:01:03,660
+بدو reaction between piston and .. reaction
+
+491
+01:01:03,660 --> 01:01:07,640
+between piston and cylinder reaction between
+
+492
+01:01:07,640 --> 01:01:11,500
+piston and cylinder لأن نروح لل free body diagram
+
+493
+01:01:11,500 --> 01:01:23,260
+بدو reaction between piston and cylinder أنا
+
+494
+01:01:23,260 --> 01:01:28,020
+عندي هاي ال piston هاي
+
+495
+01:01:28,020 --> 01:01:28,880
+ال piston effort
+
+496
+01:01:31,730 --> 01:01:37,230
+و هاي ال
+
+497
+01:01:37,230 --> 01:01:51,210
+FQ و في عندها FN و عندها ال W Reciprocating
+
+498
+01:02:01,580 --> 01:02:07,300
+لو خدت summation هاي ال X هاي ال Y  أخذت
+
+499
+01:02:07,300 --> 01:02:13,640
+summation لل forces باتجاه ال Y هتساوي Zero هتساوي
+
+500
+01:02:13,640 --> 01:02:24,300
+باتجاه ال Y هتكون FN ناقص WR ناقص FQ
+
+501
+01:02:40,910 --> 01:02:48,150
+WR FQ SIN Φ
+
+502
+01:03:01,420 --> 01:03:09,140
+يعني WR هي MR في G زي FQ هي برضو Piston Effort FP
+
+503
+01:03:09,140 --> 01:03:15,240
+حسبناها يعني مش ده .. هخليها زي ما هي FQ SINE
+
+504
+01:03:15,240 --> 01:03:19,920
+الفاي أنا برضو عارف ال mass بتاعة ال MR وال G
+
+505
+01:03:19,920 --> 01:03:26,080
+معروفة ال FQ حسبناها والفاي معروفة طيب
+
+506
+01:03:30,070 --> 01:03:33,790
+المطلوب الرابع engine speed at which the above
+
+507
+01:03:33,790 --> 01:03:39,830
+values become zero سرعة المحرك .. سرعة المحرك ال
+
+508
+01:03:39,830 --> 01:03:49,030
+RPM اللي عندها بتكون ال above values اللي هي net
+
+509
+01:03:49,030 --> 01:03:53,310
+load on Gadget pen اللي هي FP يعني بده .. بده
+
+510
+01:03:53,310 --> 01:03:57,490
+omega at which
+
+511
+01:04:00,530 --> 01:04:10,310
+FP بتساوي ايش؟ Zero ببساطة هنجد عندي FP
+
+512
+01:04:10,310 --> 01:04:25,230
+بتساوي Zero بتساوي اللي هي هتكون FL ناقص FI
+
+513
+01:04:27,900 --> 01:04:30,440
+يعني هحل المعادلة هذه أنا مش عارف ممكن تكون ناقص
+
+514
+01:04:30,440 --> 01:04:33,180
+أو زائد  ماراح أحلها ناقص و ماراح أحلها زائد
+
+515
+01:04:33,180 --> 01:04:40,000
+الأفقال أحنا عارفينها باي على أربعة دي square في ال
+
+516
+01:04:40,000 --> 01:04:46,520
+pressure نحكي assume constant
+
+517
+01:04:46,520 --> 01:04:51,040
+pressure
+
+518
+01:04:51,040 --> 01:04:56,300
+و ال
+
+519
+01:04:56,300 --> 01:05:08,180
+FI اللي هي عبارة عن mr omega square r cos θ زائد
+
+520
+01:05:08,180 --> 01:05:13,640
+cos 2θ على n يعني أنا هعوضها فيها إذا حسبت عندي ال
+
+521
+01:05:13,640 --> 01:05:20,020
+zero بتساوي الأفقال اللي هي اللي هي محسوبة على
+
+522
+01:05:20,020 --> 01:05:31,340
+أربعة d square P ناقص mr أوميجا سكوار r في كوساين
+
+523
+01:05:31,340 --> 01:05:41,180
+ثيتا زائد كوساين تو ثيتا على n solve this equation
+
+524
+01:05:41,180 --> 01:05:46,660
+for omega solve for
+
+525
+01:05:46,660 --> 01:05:47,260
+omega
+
+526
+01:05:55,570 --> 01:06:06,110
+solve for omega اه
+
+527
+01:06:06,110 --> 01:06:12,590
+solve for omega
+
+528
+01:06:12,590 --> 01:06:16,530
+ارجعوا النظر حلوا التالي ارجعوا النظر روحوا على ال
+
+529
+01:06:16,530 --> 01:06:20,990
+math lab go
+
+530
+01:06:20,990 --> 01:06:24,670
+أو go أو use
+
+531
+01:06:26,310 --> 01:06:32,690
+math lab أو
+
+532
+01:06:32,690 --> 01:06:37,430
+Mathematica
+
+533
+01:06:37,430 --> 01:06:41,350
+أو حسب
+
+534
+01:06:41,350 --> 01:06:50,890
+أو Mathcad
+
+535
+01:06:54,630 --> 01:07:01,610
+or even excel plot
+
+536
+01:07:01,610 --> 01:07:05,970
+plot
+
+537
+01:07:05,970 --> 01:07:11,230
+plot
+
+538
+01:07:11,230 --> 01:07:16,270
+plot
+
+539
+01:07:16,270 --> 01:07:25,250
+اللي هي تكون ال variables اللي هي ال FT و ال FI
+
+540
+01:07:25,250 --> 01:07:46,870
+و ال FL و ال FQ و ال FB و ال FT versus Theta
+
+541
+01:07:50,060 --> 01:07:56,320
+how things are
+
+542
+01:07:56,320 --> 01:08:00,220
+going on شوف كيف الأمور ماشية
+
+543
+01:08:11,930 --> 01:08:14,330
+المطلوب الأخير هي ال engine speed at which the
+
+544
+01:08:14,330 --> 01:08:20,850
+above values become zero for
+
+545
+01:08:20,850 --> 01:08:23,850
+the same angle يعني أنا هألعب في زاوية اللي .. اللي
+
+546
+01:08:23,850 --> 01:08:26,090
+.. اللي .. اللي  حأخذ .. اللي حأخذ مثلاً ال F
+
+547
+01:08:26,090 --> 01:08:31,790
+piston بيساوي FL .. FL ناقص FI يعني لما ال ..
+
+548
+01:08:31,790 --> 01:08:36,390
+ال piston effort لما ال load بيساوي ال inertia
+
+549
+01:08:36,390 --> 01:08:38,270
+force يصبح
+
+550
+01:08:42,480 --> 01:08:50,100
+و بحسب عند نفس الزاوية اللي هي ال omega بس نصيحتي
+
+551
+01:08:50,100 --> 01:08:54,420
+استخدم MATLAB أو Mathematica Mathcad أو أي
+
+552
+01:08:54,420 --> 01:08:57,860
+software Mathematica software اعمل plot لل FB و FI
+
+553
+01:08:57,860 --> 01:09:03,880
+و FL و FQ و FB و FT versus θ for a certain omega
+
+554
+01:09:03,880 --> 01:09:08,280
+ألعب في omega كمان العب في omega يعني .. يعني
+
+555
+01:09:08,280 --> 01:09:12,140
+خلي two variables عندك Omega وTheta وشوف كيف
+
+556
+01:09:12,140 --> 01:09:16,060
+الأمور بتمشي معك ال plotting بيعطيك more insight
+
+557
+01:09:16,060 --> 01:09:19,200
+في ال .. في ال .. في المثال و طبعاً هذه ال ..
+
+558
+01:09:19,200 --> 01:09:23,260
+المسألة كانت لميكانزم مسألة مهمة جداً جداً لأنه
+
+559
+01:09:23,260 --> 01:09:27,660
+ال engine في المحرك بتاع ال .. كل المحركات اللي ..
+
+560
+01:09:28,290 --> 01:09:33,930
+اللي بتشتغل بالوقود سواء كان بنزين أو ديزل بتشتغل
+
+561
+01:09:33,930 --> 01:09:36,790
+على نفس ال principle هيك بنكون خلصنا ال section
+
+562
+01:09:36,790 --> 01:09:44,050
+هذا يعني أنا بشوف المعيد يأخذ لكم example على خمسة عشر
+
+563
+01:09:44,050 --> 01:09:48,550
+عشر خمسة عشر أحد عشر خمسة عشر اثنا عشر المحاضرة الجاية هنكمل
+
+564
+01:09:48,550 --> 01:09:49,470
+أعطيكم العافية
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EoHqH6PPs5A_postprocess.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EoHqH6PPs5A_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..b8480a1e744c0ed4491356d44803d08bd6deda4b
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EoHqH6PPs5A_postprocess.srt
@@ -0,0 +1,2256 @@
+1
+00:00:04,890 --> 00:00:07,830
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,830 --> 00:00:12,250
+وبركاته اليوم هنكمل الشابتر inertia forces of
+
+3
+00:00:12,250 --> 00:00:16,070
+reciprocating parts بعدين هدرسنا اللي هو velocity
+
+4
+00:00:16,070 --> 00:00:19,630
+displacement and acceleration analysis لل slotted
+
+5
+00:00:19,630 --> 00:00:22,290
+crank mechanism حسبنا ال velocity و ال
+
+6
+00:00:22,290 --> 00:00:25,890
+acceleration و ال position لل piston حسبنا ال
+
+7
+00:00:25,890 --> 00:00:28,730
+angular velocity و ال angular acceleration لل
+
+8
+00:00:28,730 --> 00:00:33,350
+connecting rod طبعا هنعطينا حلول تحليلية تقريبية
+
+9
+00:00:33,350 --> 00:00:37,880
+عملنا بعض ال approximationsهنكمل نحسب ال forces
+
+10
+00:00:37,880 --> 00:00:45,280
+على الـ reciprocating parts of an engine انا
+
+11
+00:00:45,280 --> 00:00:53,900
+عند هنا استخدام الكرانك عند هاي مركز دوران الكرانك
+
+12
+00:00:53,900 --> 00:00:57,640
+او هاي الكرانك
+
+13
+00:01:04,480 --> 00:01:12,380
+و هاي ال connecting rod هذه
+
+14
+00:01:12,380 --> 00:01:22,380
+OC وهذه نقطة P وهذه ال piston
+
+15
+00:01:22,380 --> 00:01:33,480
+الكراينك
+
+16
+00:01:33,480 --> 00:01:33,940
+بدور
+
+17
+00:01:38,240 --> 00:01:44,320
+بصورة على الزاوية omega clockwise الزاوية مع الأفق
+
+18
+00:01:44,320 --> 00:01:48,400
+هذا
+
+19
+00:01:48,400 --> 00:01:54,820
+theta والزاوية بيصويها ال connecting rod مع الأفق
+
+20
+00:01:54,820 --> 00:01:59,560
+هذا الزاوية في
+
+21
+00:02:08,590 --> 00:02:13,870
+الان لو بدأ اعمل force analysis و بدأت من عند ال
+
+22
+00:02:13,870 --> 00:02:18,270
+piston هكون
+
+23
+00:02:18,270 --> 00:02:23,910
+عند ال piston هين هنلق force analysis
+
+24
+00:02:39,620 --> 00:02:45,840
+هيكون في عندي هين جاي piston effort FP
+
+25
+00:02:45,840 --> 00:02:53,460
+في عندي normal force هين من الجدار بتاع الأستوانة
+
+26
+00:02:53,460 --> 00:03:01,760
+F normal و في عندي وزن ال reciprocating parts
+
+27
+00:03:16,360 --> 00:03:23,840
+و فيه عندى force من
+
+28
+00:03:23,840 --> 00:03:32,240
+ال connecting rod في
+
+29
+00:03:32,240 --> 00:03:38,140
+هذا
+
+30
+00:03:38,140 --> 00:03:43,020
+بشكل أسئلة لو أخدت ال piston لو أخدت ال connecting
+
+31
+00:03:43,020 --> 00:03:43,400
+rod
+
+32
+00:03:47,140 --> 00:03:51,440
+اخدت الـ Connecting Rod لحاله
+
+33
+00:03:51,440 --> 00:03:55,720
+هذا
+
+34
+00:03:55,720 --> 00:04:05,340
+الـ Connecting Rod هكون فيه عنده هذا
+
+35
+00:04:05,340 --> 00:04:15,420
+يسمى FQ هذه FQ هذه
+
+36
+00:04:15,420 --> 00:04:15,980
+زاوية في
+
+37
+00:04:19,080 --> 00:04:25,080
+طبعا هنا انا .. I assume انه .. I assume انه ال ..
+
+38
+00:04:25,080 --> 00:04:27,780
+I'm neglecting ال weight ل ال connecting rod ال
+
+39
+00:04:27,780 --> 00:04:30,960
+weight of connecting rod is neglected .. neglected
+
+40
+00:04:30,960 --> 00:04:35,320
+تم إهمال وزن ال connecting rod و it is two for
+
+41
+00:04:35,320 --> 00:04:42,540
+swim بربع نطوية هيكون في عندي كمان هنا FQ
+
+42
+00:04:42,540 --> 00:04:47,800
+جاي من ال crankجا اعمل لك رانك على ال connecting
+
+43
+00:04:47,800 --> 00:04:52,940
+rod يعني
+
+44
+00:04:52,940 --> 00:05:06,660
+عندي هين عندي هين FN عندي هين F piston effort و
+
+45
+00:05:06,660 --> 00:05:09,260
+عندي الوزن of reciprocating parts WR
+
+46
+00:05:18,990 --> 00:05:22,670
+ال piston effort هو ال net force acting on the
+
+47
+00:05:22,670 --> 00:05:28,070
+piston along the line of stroke ال piston effort
+
+48
+00:05:28,070 --> 00:05:36,150
+هو ال net force acting on the piston along the
+
+49
+00:05:36,150 --> 00:05:41,990
+line of stroke يعني في هذا الاتجاه مصدرها جاي من
+
+50
+00:05:41,990 --> 00:05:47,230
+ال pressure في عند ال pressureعلى ال piston طبعا
+
+51
+00:05:47,230 --> 00:05:56,310
+فيه هيقامه friction ف ال .. ال .. ال FP طبعا
+
+52
+00:05:56,310 --> 00:05:59,810
+هيقامه friction و inertia forces هيقامه friction و
+
+53
+00:05:59,810 --> 00:06:03,850
+inertia forces هذا ال piston اللي أنا كمله عندهين
+
+54
+00:06:03,850 --> 00:06:06,050
+بيصير بالشكل هذا
+
+55
+00:06:11,870 --> 00:06:24,370
+اللي هي مثلا هحكي mr في ال a بتاعة ال piston او
+
+56
+00:06:24,370 --> 00:06:33,150
+كنت احكي بالشكل هذا هي عندي ال piston علي
+
+57
+00:06:33,150 --> 00:06:37,490
+fn في كمان friction resistance
+
+58
+00:06:42,960 --> 00:06:48,920
+فى عندى FN FN
+
+59
+00:06:48,920 --> 00:06:52,580
+وعندى
+
+60
+00:06:52,580 --> 00:07:01,360
+بدي أسميها هى F F ال load F ال load و بحكي وعندي
+
+61
+00:07:01,360 --> 00:07:12,330
+ال inertia force اللى هى MR A pistonعندي FN و الـ
+
+62
+00:07:12,330 --> 00:07:17,530
+WR وعندي
+
+63
+00:07:17,530 --> 00:07:23,050
+FQ
+
+64
+00:07:23,050 --> 00:07:26,110
+وعندي
+
+65
+00:07:26,110 --> 00:07:35,530
+اللي هي ال frictional force يعني في عندى force due
+
+66
+00:07:35,530 --> 00:07:39,350
+to load جامع ال pressure على ال pistonوفي ال
+
+67
+00:07:39,350 --> 00:07:43,850
+inertia force mr في ال acceleration وفي عندى
+
+68
+00:07:43,850 --> 00:07:46,490
+fractional force وفي عندى ال normal force من جدران
+
+69
+00:07:46,490 --> 00:07:53,830
+أسطوانة وفي عندى وزن ال piston وفي عندى اللى هو ال
+
+70
+00:07:53,830 --> 00:07:56,890
+force من ال connecting rod على ال piston
+
+71
+00:08:03,400 --> 00:08:06,460
+يعني حكينا ال .. ال .. ال .. ال FP ال piston
+
+72
+00:08:06,460 --> 00:08:11,580
+effort هي ال net force acting along the line of
+
+73
+00:08:11,580 --> 00:08:16,480
+stroke يعني ال net force بيهدى الاتجاه معناته
+
+74
+00:08:16,480 --> 00:08:26,200
+ال FL ال .. ال .. ال piston effort هتكون ال
+
+75
+00:08:26,200 --> 00:08:33,350
+piston effortف بيستمر زي هى net force عبارة عن ال
+
+76
+00:08:33,350 --> 00:08:39,210
+force due ت ال fl إذا
+
+77
+00:08:39,210 --> 00:08:44,850
+it is accelerating هتكون minus إذا
+
+78
+00:08:44,850 --> 00:08:47,290
+it is decelerating هتكون plus minus ال inertia
+
+79
+00:08:47,290 --> 00:08:52,250
+force minus ال frictional force minus ال
+
+80
+00:08:52,250 --> 00:08:56,210
+frictional force هى RF هنسميها
+
+81
+00:09:00,000 --> 00:09:07,240
+RF هين RF معناته هذا ال free body diagram هذا ال
+
+82
+00:09:07,240 --> 00:09:12,000
+original هسير بالشكل
+
+83
+00:09:12,000 --> 00:09:16,600
+هذا اللي هو ال piston effort لأن هاي ال piston
+
+84
+00:09:16,600 --> 00:09:21,600
+effort عبارة عن net force ناتجة عن ال load و ال
+
+85
+00:09:21,600 --> 00:09:27,660
+energy و ال frictionهتكون عندي F piston F ال
+
+86
+00:09:27,660 --> 00:09:31,540
+piston effort وعندي
+
+87
+00:09:31,540 --> 00:09:34,780
+ال
+
+88
+00:09:34,780 --> 00:09:47,040
+F normal وعندي اللي هو WR وعندي اللي هي F في Q
+
+89
+00:09:47,040 --> 00:09:48,940
+وهذا الزاوية عياش في
+
+90
+00:09:59,710 --> 00:10:05,150
+معناته ان الكتاب مش ماضحة ال piston effort في
+
+91
+00:10:05,150 --> 00:10:09,810
+الأساس في ال free pedagram الأصلي عبارة عن ال load
+
+92
+00:10:09,810 --> 00:10:15,130
+due to pressure و ال inertia force ال mar في ال a
+
+93
+00:10:15,130 --> 00:10:18,830
+piston و ال frictional force معناته ان ال piston
+
+94
+00:10:18,830 --> 00:10:23,340
+effort هو ال net force محصلة flو ال inertia و ال
+
+95
+00:10:23,340 --> 00:10:27,080
+friction force اللي هي F P بيسوا F L minus plus F
+
+96
+00:10:27,080 --> 00:10:30,080
+I minus R F واضح انه لما كان ال piston it is
+
+97
+00:10:30,080 --> 00:10:34,460
+accelerating along this direction كانت .. كانت ال
+
+98
+00:10:34,460 --> 00:10:37,640
+inertia بالاتجاه هذا معناه ان ال inertia بتعكسني
+
+99
+00:10:37,640 --> 00:10:41,140
+when it is accelerating عشان كي صارت minus اذا كان
+
+100
+00:10:41,140 --> 00:10:44,960
+decelerating هيكون بيساعدني هيكون ان دي بيصير plus
+
+101
+00:10:44,960 --> 00:10:46,880
+F I minus R F
+
+102
+00:10:50,500 --> 00:10:57,980
+الان ال inertia force ال inertia force ال fi
+
+103
+00:10:57,980 --> 00:11:02,140
+قيمتها بتساوي
+
+104
+00:11:02,140 --> 00:11:12,660
+ال mr في ال AP يعني هتكون ال mr هاي ال AP هتكون mr
+
+105
+00:11:12,660 --> 00:11:24,120
+في omega square r في cosine thetaزائد cosine two
+
+106
+00:11:24,120 --> 00:11:34,160
+theta على n هذه ال inertia force نعود لل load
+
+107
+00:11:34,160 --> 00:11:34,760
+force
+
+108
+00:11:52,710 --> 00:11:56,730
+في حياتي ال engine كان أفق يعني ال piston بتتحرك
+
+109
+00:11:56,730 --> 00:11:59,930
+بهذا الاتجاه هذا horizontal vertical ال piston
+
+110
+00:11:59,930 --> 00:12:01,090
+بتتحرك بهذا الاتجاه
+
+111
+00:12:03,730 --> 00:12:06,570
+the reciprocating parts are accelerated from rest
+
+112
+00:12:06,570 --> 00:12:10,830
+when piston moves from inner dead center to outer
+
+113
+00:12:10,830 --> 00:12:14,090
+dead center يعني بيكون ال acceleration اللي ال
+
+114
+00:12:14,090 --> 00:12:16,770
+piston في حالة تسار لما بتحرك من ال top dead
+
+115
+00:12:16,770 --> 00:12:19,570
+center لل bottom dead center يعني من أقصى نقطة
+
+116
+00:12:19,570 --> 00:12:22,710
+لأعلى نقطة بيكون في acceleration و بيصير في حالة
+
+117
+00:12:22,710 --> 00:12:25,950
+deceleration لما بتحرك من ال bottom dead center لل
+
+118
+00:12:25,950 --> 00:12:27,270
+top dead center
+
+119
+00:12:32,940 --> 00:12:36,060
+ال inertia force due to acceleration of respondent
+
+120
+00:12:36,060 --> 00:12:44,040
+parts بتعاكز ال force على ال piston اللي بتعاكز ال
+
+121
+00:12:44,040 --> 00:12:47,740
+fl معناته ان الحالة اللي احنا حاولنا تكون minus fi
+
+122
+00:12:47,740 --> 00:12:50,400
+اذا كان عندى acceleration اذا كان عندى retardation
+
+123
+00:12:50,400 --> 00:12:54,300
+يعني عندى acceleration بتساعدني بيصير ال piston
+
+124
+00:12:54,300 --> 00:12:58,020
+effort fl plus fi minus rf
+
+125
+00:13:01,800 --> 00:13:05,560
+زي ما حكينا ال piston effort هي ال net load on the
+
+126
+00:13:05,560 --> 00:13:10,060
+piston اللي هو عبارة عن fl minus plus fi minus rf
+
+127
+00:13:10,060 --> 00:13:15,340
+ال negative sign is used في حالة كلان دي
+
+128
+00:13:15,340 --> 00:13:20,900
+acceleration ال piston is accelerating بتكون plus
+
+129
+00:13:20,900 --> 00:13:27,720
+في حالة ال piston is decelerating ال
+
+130
+00:13:27,720 --> 00:13:28,400
+F load
+
+131
+00:13:31,250 --> 00:13:35,570
+لكن ال F load جاية نتيجة ال pressure نتيجة ال
+
+132
+00:13:35,570 --> 00:13:40,850
+pressure هتكون ال F load هاي ال piston هاي الطرف
+
+133
+00:13:40,850 --> 00:13:44,750
+لل piston و هاي الطرف في عندي هتسميها area ال area
+
+134
+00:13:44,750 --> 00:13:57,270
+هين بتكون A1 و ال area هين A2 ال F L هتكون A1
+
+135
+00:13:58,210 --> 00:14:07,910
+P1 minus A2 P2 ال P1 هو ال pressure مواجه مباشرة
+
+136
+00:14:07,910 --> 00:14:12,490
+لل piston ال P2 هو ال pressure عكس ال piston يعني
+
+137
+00:14:12,490 --> 00:14:15,810
+في حالة double acting steam engine بيكون في
+
+138
+00:14:15,810 --> 00:14:24,570
+pressure P1 و P2 طيب
+
+139
+00:14:33,030 --> 00:14:38,530
+في حالة vertical engine يعني ال piston كان متحرك
+
+140
+00:14:38,530 --> 00:14:47,090
+بالاتجاه الرأسي ال weight of respectating parts
+
+141
+00:14:47,090 --> 00:14:54,760
+وزن ال pistonبساعدني و انا نازل يعني جاي من ال top
+
+142
+00:14:54,760 --> 00:14:58,420
+of the center ل البطنس بساعدني و بعكسني و انا طالع
+
+143
+00:14:58,420 --> 00:15:02,160
+بعكسني و انا طالع في الحالة هذه ال piston effort
+
+144
+00:15:03,050 --> 00:15:05,550
+وانا نازل من ال top dead center لل bottom dead
+
+145
+00:15:05,550 --> 00:15:10,230
+center ال piston will be fl minus plus fi plus or
+
+146
+00:15:10,230 --> 00:15:16,030
+minus wr minus rf وانا نازل بيكون عندى plus wr
+
+147
+00:15:16,030 --> 00:15:20,870
+بتعكسني ال inertia force وبساعدني وزن ال piston و
+
+148
+00:15:20,870 --> 00:15:25,880
+ال friction ده بيعكسني وانا طالعبكون عندي ال
+
+149
+00:15:25,880 --> 00:15:30,660
+inertia force بتساعدني و الوزن بتاع ال .. ال .. ال
+
+150
+00:15:30,660 --> 00:15:34,520
+.. ال piston بيعكسني و ال friction is always انها
+
+151
+00:15:34,520 --> 00:15:43,520
+عكس اللي بتعكس تجاه الحركة طيب
+
+152
+00:15:43,520 --> 00:15:49,940
+لان
+
+153
+00:15:49,940 --> 00:15:53,800
+ال FQ انا عندي هنا حكاية انا عندي هنا هاي
+
+154
+00:15:56,830 --> 00:16:06,650
+الـ O وهي ال C هذه ال crank وهذه
+
+155
+00:16:06,650 --> 00:16:10,550
+ال piston هذه
+
+156
+00:16:10,550 --> 00:16:18,170
+P هنا حكينا ال FQ ال
+
+157
+00:16:18,170 --> 00:16:22,530
+FQ بيستوى ال piston effort ال FQ
+
+158
+00:16:25,720 --> 00:16:29,960
+بستوى ال piston effort او نحكي الفي كيو كوصين
+
+159
+00:16:29,960 --> 00:16:35,000
+الفاي الفي كيو كوصين
+
+160
+00:16:35,000 --> 00:16:41,340
+الفاي بستوى ال piston effort يعني الفي كيو بستوى
+
+161
+00:16:41,340 --> 00:16:51,960
+piston effort على كوصين الفاي الان
+
+162
+00:16:51,960 --> 00:16:53,080
+هذه الفي كيو
+
+163
+00:16:56,480 --> 00:17:02,700
+نقلت لهنا بعدين حللت له مراكبة تانية مراكبة في
+
+164
+00:17:02,700 --> 00:17:14,220
+اتجاه الكرانك FB ومراكبة عمودية على
+
+165
+00:17:14,220 --> 00:17:25,970
+الكرانك FT الزاوية هادية θوالزاوية هذه Phi معناته
+
+166
+00:17:25,970 --> 00:17:32,010
+هذه الزاوية هتكون زاوية خارج المثلث Theta زائد Phi
+
+167
+00:17:32,010 --> 00:17:46,470
+طيب
+
+168
+00:17:51,810 --> 00:17:57,330
+الان FQ حللتها لمركبتين مركبة عمودية علي الـ crank
+
+169
+00:17:57,330 --> 00:18:10,370
+و مركبة في اتجاه ال crank ال F T بالساوية
+
+170
+00:18:10,370 --> 00:18:15,410
+ال FQ ال
+
+171
+00:18:15,410 --> 00:18:19,770
+F T بالساوية ال FQ صين
+
+172
+00:18:22,660 --> 00:18:32,080
+الثيتا زائد في صين الثيتا زائد
+
+173
+00:18:32,080 --> 00:18:36,100
+في ال
+
+174
+00:18:36,100 --> 00:18:44,480
+FQ عبارة عن FP في
+
+175
+00:18:44,480 --> 00:18:52,190
+ال FQ FP على الجزر التربيعيلواحد ناقص sin تربيع θ
+
+176
+00:18:52,190 --> 00:19:05,530
+على n تربيع في sin θ زائد في يعني
+
+177
+00:19:05,530 --> 00:19:18,290
+هتساوي ال FB في هذا هتكون sin θ cosine فيزاد cos θ
+
+178
+00:19:18,290 --> 00:19:34,990
+sin فى على cos فى يعنى ال F T هتسوى F P في sin θ
+
+179
+00:19:34,990 --> 00:19:50,310
+زاد cos θ في sin فى على cos فىيعني هتستوى FP في
+
+180
+00:19:50,310 --> 00:20:04,990
+sin θ زائد cos θ tan Phi لأن احنا نرجع ل Phi هاي
+
+181
+00:20:04,990 --> 00:20:14,130
+Phi هاي sin θ وهاي N هذا جزر التربيعيلأن تربيع
+
+182
+00:20:14,130 --> 00:20:23,570
+ناقص sin تربيع ثتا معناته tan phi هتكون
+
+183
+00:20:23,570 --> 00:20:29,930
+تساوي sin ثتا على
+
+184
+00:20:29,930 --> 00:20:37,410
+جزر التربيع لأن تربيع minus sin تربيع ثتا
+
+185
+00:20:44,600 --> 00:20:49,360
+الـ FT بتساوي
+
+186
+00:20:49,360 --> 00:21:02,600
+ال FB في sin θ زاد cos θ of tan phi يعني هكون cos
+
+187
+00:21:02,600 --> 00:21:13,310
+θ في sin θعلى جزر التربيعي لان تربيع minus sin
+
+188
+00:21:13,310 --> 00:21:32,990
+تربيع ثتا هذا هو ال Ft الآن
+
+189
+00:21:32,990 --> 00:21:41,810
+ال Ftالـ Torque ال F T هتعمل إيه؟ ال Torque هكون
+
+190
+00:21:41,810 --> 00:21:49,070
+ال radius تاع الكرانك في ال F T يعني ال Torque
+
+191
+00:21:49,070 --> 00:21:59,450
+هيكون اللي هو R F P في sin θ زاد
+
+192
+00:22:00,640 --> 00:22:04,480
+Sin θ كو Sin ثتا عبارة عن ضربنا في اتنية على اتنية
+
+193
+00:22:04,480 --> 00:22:13,720
+هتكون Sin two theta على اتنين اتنين
+
+194
+00:22:13,720 --> 00:22:22,000
+الجزر التربيعي لان تربيع minus Sin تربيع ثتا هذا
+
+195
+00:22:22,000 --> 00:22:22,960
+يعيش ال torque
+
+196
+00:22:34,550 --> 00:22:55,810
+ليه هذه المعادلة طبعا
+
+197
+00:22:55,810 --> 00:23:01,770
+هنعمل تقريبالـ sin θ قيمتها تتراوح بين ماينوس واحد
+
+198
+00:23:01,770 --> 00:23:04,450
+و واحد معناته sin تربيه ثتا ال maximum value اللي
+
+199
+00:23:04,450 --> 00:23:09,190
+هتكون واحد ال N square هتكون أكبر بكتير من الواحد
+
+200
+00:23:09,190 --> 00:23:14,070
+من ال sin تربيه الثتا معناته هذه بتصف في sin two
+
+201
+00:23:14,070 --> 00:23:19,650
+theta على اتنين N فبصف في ال torque تقريبا ال
+
+202
+00:23:19,650 --> 00:23:24,630
+torque تقريبا بستوي FPR في sin ثتا زائد sin two
+
+203
+00:23:24,630 --> 00:23:36,620
+theta على اتنين Nحصة و حصافة اللي هو FPR في sin θ
+
+204
+00:23:36,620 --> 00:23:44,320
+زائد sin 2θ على 2N
+
+205
+00:23:51,720 --> 00:24:00,380
+الان احنا حكينا ان ال FQ هعملها لمركبتين مركبة
+
+206
+00:24:00,380 --> 00:24:03,260
+عمودية علي ال crank ومركبة في اتجاه ال crank ال FB
+
+207
+00:24:03,260 --> 00:24:09,780
+اللي هي في اتجاه ال crank مركبة ال FQ FB هتكون FQ
+
+208
+00:24:09,780 --> 00:24:18,720
+في cosine theta زائد في يعني هتكون ال FQ عبارة عن
+
+209
+00:24:18,720 --> 00:24:27,870
+piston effortعلى cosine الـ phi في cosine theta
+
+210
+00:24:27,870 --> 00:24:41,930
+زائد في اللي
+
+211
+00:24:41,930 --> 00:24:47,330
+هي هذه المعادلةالـ Force مركبة الـ FQ باتجاه الـ
+
+212
+00:24:47,330 --> 00:24:51,670
+Crank هيبقى عن FP على كسان 5 كسان تاته زائد 5
+
+213
+00:24:51,670 --> 00:24:58,190
+معناته
+
+214
+00:24:58,190 --> 00:25:05,290
+هدول معدلات معناته
+
+215
+00:25:11,760 --> 00:25:17,200
+ال piston effort ال piston باختصار ال piston
+
+216
+00:25:17,200 --> 00:25:21,540
+effort ال effort عند ال piston اللي هي ال net
+
+217
+00:25:21,540 --> 00:25:28,960
+force along ال line و ال stroke انها جعل ال load و
+
+218
+00:25:28,960 --> 00:25:37,280
+ال inertia force و ال friction بتحول ل torque
+
+219
+00:25:37,280 --> 00:25:43,570
+العزمع الكرانك اللي هي قيمته ال torque FPR في sin
+
+220
+00:25:43,570 --> 00:25:48,930
+theta زي sin theta على اتنين N زائد force في اتجاه
+
+221
+00:25:48,930 --> 00:25:55,610
+الكرانك اللي هي FB عبارة عن FQ cosine theta زائد
+
+222
+00:25:55,610 --> 00:25:58,830
+في و FQ FB على cosine phi cosine theta زائد في
+
+223
+00:25:58,830 --> 00:26:06,150
+نشوف
+
+224
+00:26:06,150 --> 00:26:07,470
+مثلًا نحل أمثلة
+
+225
+00:26:22,770 --> 00:26:26,250
+Find the inertia force for the following data of
+
+226
+00:26:26,250 --> 00:26:29,670
+an internal combustion engine او الانيرشافورس دا
+
+227
+00:26:29,670 --> 00:26:33,470
+البيانات التانية للمحرك احتراك داخلي معطيني ال
+
+228
+00:26:33,470 --> 00:26:38,150
+bore بتاعة ال piston مية و سبعين ملي متر و ال
+
+229
+00:26:38,150 --> 00:26:44,210
+stroke متين ملي متر و ال engine speed خمسمية rpm و
+
+230
+00:26:44,210 --> 00:26:48,840
+ال length of connecting rod اربعمية مليو ال crank
+
+231
+00:26:48,840 --> 00:26:53,940
+angle ستين درجة from inner dead center و ال mass
+
+232
+00:26:53,940 --> 00:26:57,600
+of reciprocating parts مية و تمانين كيلو جرام الان
+
+233
+00:26:57,600 --> 00:27:03,480
+ال inertia force بسوء
+
+234
+00:27:03,480 --> 00:27:08,100
+mr في ال acceleration بتاعة ال piston يعني هتكون
+
+235
+00:27:08,100 --> 00:27:17,630
+mr acceleration بتاع ال piston هي omega squareR ب
+
+236
+00:27:17,630 --> 00:27:34,550
+cos θ زاد cos 2θ على N الان ال MR معطينيها اللي هي
+
+237
+00:27:34,550 --> 00:27:42,150
+كم كبت ال MR؟ مية و تمانين كيلو جرام وال
+
+238
+00:27:42,150 --> 00:27:42,610
+Omega
+
+239
+00:27:47,150 --> 00:27:54,910
+معطيني الان هو معطيني خمسمية فى اتنين by ع ستين
+
+240
+00:27:54,910 --> 00:28:10,950
+يعني لو حسبنا خمسمية فى اتنين by ع ستين خمسمية
+
+241
+00:28:10,950 --> 00:28:14,030
+فى
+
+242
+00:28:14,030 --> 00:28:21,610
+اتنين فى تلاتة point واحد اربعةتقسيم ستين تطلع
+
+243
+00:28:21,610 --> 00:28:25,790
+اتنين و خمسين point
+
+244
+00:28:25,790 --> 00:28:32,270
+تلاتة radian per second هذي ال omega ال
+
+245
+00:28:32,270 --> 00:28:36,710
+R هو ال rate of crank ال R بالساوي ال R عبارة عن
+
+246
+00:28:36,710 --> 00:28:45,270
+ال stroke على اتنين ال stroke معتنيها متين على
+
+247
+00:28:45,270 --> 00:28:47,710
+اتنين مائة millimeter
+
+248
+00:28:55,670 --> 00:29:02,470
+الان اللي هي ال L على R اللي المعطينيها أربعمية
+
+249
+00:29:02,470 --> 00:29:11,970
+على مية اللي هي أربعة ومعطيني ال theta ال theta
+
+250
+00:29:11,970 --> 00:29:17,070
+معطينيها ستين درجة ستين درجة معناته ال inertia
+
+251
+00:29:17,070 --> 00:29:23,490
+force F Iهتكون ال MR اللي هي مية و تمانين في ال
+
+252
+00:29:23,490 --> 00:29:27,190
+omega square اللي هي اتنين و خمسين point تلاتة
+
+253
+00:29:27,190 --> 00:29:38,090
+تربيع في ال R point واحد في ال cosine الستين درجة
+
+254
+00:29:38,090 --> 00:29:47,430
+زاد cosine المية و عشرين درجة على اربعة يعني هتكون
+
+255
+00:29:47,430 --> 00:29:48,550
+سوى مية و تمانين
+
+256
+00:29:56,670 --> 00:30:04,310
+مية و تمانين في اتنين و خمسين point تلاتة تربيع في
+
+257
+00:30:04,310 --> 00:30:12,030
+point one بتلع تسعة و اربعين الف و اتنين و خمس و
+
+258
+00:30:12,030 --> 00:30:15,310
+تلاتين cosine ستين اللي هي نص
+
+259
+00:30:19,630 --> 00:30:27,930
+minus نص على أربعة minus point واحد اتنين
+
+260
+00:30:27,930 --> 00:30:37,430
+خمسة يعني نص
+
+261
+00:30:43,240 --> 00:30:48,300
+نقص point واحد اتنين خمسة في تسعة واربعين الف
+
+262
+00:30:48,300 --> 00:30:57,500
+ومتين وخمسة وتلاتين تطلع تمانتاشر الف اربعمية
+
+263
+00:30:57,500 --> 00:31:00,700
+وتلاتة وستين نيوتن
+
+264
+00:31:02,750 --> 00:31:10,390
+يعني تقريبا حوال اتنين طن يعني كأنه ثقل اتنين طن
+
+265
+00:31:10,390 --> 00:31:14,570
+كأنه ثقل اتنين طن يعني واضح ال inertia forces is
+
+266
+00:31:14,570 --> 00:31:19,650
+huge يعني بتشكل رقم كبير في ال internal combustion
+
+267
+00:31:19,650 --> 00:31:25,670
+engines طيب
+
+268
+00:31:25,670 --> 00:31:27,570
+هيك بيكون حسبنا ال inertia force
+
+269
+00:31:31,990 --> 00:31:42,310
+نشوف مثال تاني The crank
+
+270
+00:31:42,310 --> 00:31:45,670
+of a horizontal angel is three hundred millimeters
+
+271
+00:31:45,670 --> 00:31:50,570
+نعطيه الكرانك ال R بالساوية
+
+272
+00:31:50,570 --> 00:31:53,270
+تلاتمية مليمتر
+
+273
+00:31:55,190 --> 00:31:58,190
+the mass of reciprocating parts is متين و خمسين
+
+274
+00:31:58,190 --> 00:32:02,790
+kilogram يعني
+
+275
+00:32:02,790 --> 00:32:12,390
+ال MR معطيني متين و خمسين kilogram when
+
+276
+00:32:12,390 --> 00:32:15,090
+the crank has traveled six degrees from inner dead
+
+277
+00:32:15,090 --> 00:32:19,870
+center theta بالساوة
+
+278
+00:32:19,870 --> 00:32:29,830
+ستين درجةالاختلاف بين السرعات والدراجات والدراجات
+
+279
+00:32:29,830 --> 00:32:32,650
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+280
+00:32:32,650 --> 00:32:33,530
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+281
+00:32:33,530 --> 00:32:33,830
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+282
+00:32:33,830 --> 00:32:33,870
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+283
+00:32:33,870 --> 00:32:35,650
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+284
+00:32:35,650 --> 00:32:40,290
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+285
+00:32:40,290 --> 00:32:40,350
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+286
+00:32:40,350 --> 00:32:42,910
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+287
+00:32:42,910 --> 00:32:43,090
+والدراج
+
+288
+00:32:47,170 --> 00:32:52,070
+القطر التواصل بين مركزها هو 1.2 متر طول الـ
+
+289
+00:32:52,070 --> 00:33:00,550
+connecting road واحد اتنين وعشرة متر الـ
+
+290
+00:33:00,550 --> 00:33:07,330
+cylinder bore اللي هو القطر ال cylinder اللي هو نص
+
+291
+00:33:07,330 --> 00:33:14,010
+متر اذا
+
+292
+00:33:14,010 --> 00:33:18,050
+كانت السيارة تعمل في 250 ربيامالانجين الان بتاعة
+
+293
+00:33:18,050 --> 00:33:25,570
+الانجين متين و خمسين rpm and
+
+294
+00:33:25,570 --> 00:33:29,450
+if the effects of piston rod is neglected ال
+
+295
+00:33:29,450 --> 00:33:36,090
+piston rod اللي هو من جهة ال connecting rod قطره
+
+296
+00:33:36,090 --> 00:33:43,030
+تم اهمله بدك تحسب piston effort العكس هذا ال
+
+297
+00:33:43,030 --> 00:33:43,750
+piston effort
+
+298
+00:33:46,530 --> 00:33:50,610
+هو ال net force along the line of stroke عبارة عن
+
+299
+00:33:50,610 --> 00:34:02,930
+ال fl minus او زائد ال inertia force اللي
+
+300
+00:34:02,930 --> 00:34:06,970
+هو حط راح منها كمان minus ال friction على فرض تم
+
+301
+00:34:06,970 --> 00:34:13,550
+هم ال friction هاي ال piston effort نرجعلها minus
+
+302
+00:34:13,550 --> 00:34:19,430
+ال friction horizontal minusالـ RF لـ friction
+
+303
+00:34:19,430 --> 00:34:30,690
+الان ال load FL هتكون سواء باي على أربعة مساحة
+
+304
+00:34:30,690 --> 00:34:41,150
+المقطع دي تربيع في delta P يكون باي على أربعة في
+
+305
+00:34:41,150 --> 00:34:50,080
+دي تربيع في point خمسةتربية في
+
+306
+00:34:50,080 --> 00:35:04,060
+دلتا بيبون تلاتة خمسة في عشرة وستة
+
+307
+00:35:04,060 --> 00:35:08,200
+يعني
+
+308
+00:35:08,200 --> 00:35:12,720
+باي على أربعة فيبون
+
+309
+00:35:12,720 --> 00:35:15,280
+خمسة
+
+310
+00:35:19,940 --> 00:35:31,360
+تقريبا تلاتة خمسة بيطلع
+
+311
+00:35:31,360 --> 00:35:38,900
+تمانية وستين ألف تمانية وستين ألف وستمية
+
+312
+00:35:38,900 --> 00:35:42,540
+و تمانية تمانين نيوتن
+
+313
+00:35:47,870 --> 00:35:58,390
+الـ F ال inertia force بالساوية م R أميجا سكوير R
+
+314
+00:35:58,390 --> 00:36:10,570
+في cos θ زاد cos 2 θ على N ال م R أنا عندي 250
+
+315
+00:36:10,570 --> 00:36:24,620
+معروفة الأميجا هتكون عندي 250اتنين باي على ستين
+
+316
+00:36:24,620 --> 00:36:36,960
+تطلع
+
+317
+00:36:36,960 --> 00:36:44,500
+ستة وعشرين point واحد سبعة radian per second هذا
+
+318
+00:36:44,500 --> 00:36:54,240
+ال omegaال R ماعطينيها تلاتمية ملي ال N اللي هي L
+
+319
+00:36:54,240 --> 00:37:00,740
+على R ال L ماعطينيها واحد و اتنين من عشرة وال R
+
+320
+00:37:00,740 --> 00:37:08,200
+تلاتة من عشرة يعني أربعة ال N المنطق
+
+321
+00:37:08,200 --> 00:37:15,600
+ال FI هتكون ال MR اللي هي متين و خمسين
+
+322
+00:37:18,790 --> 00:37:22,270
+في الـ omega اللي هي ستة وعشرين point واحد سبعة
+
+323
+00:37:22,270 --> 00:37:33,050
+تربية في ال R اللي هي point تلاتة في cosine الستين
+
+324
+00:37:33,050 --> 00:37:40,710
+زائد cosine المية وعشرين على أربعة
+
+325
+00:37:51,140 --> 00:38:09,500
+هتكون عند مئتين و خمسين بتطلع
+
+326
+00:38:09,500 --> 00:38:13,920
+تسعتاشر الف و
+
+327
+00:38:13,920 --> 00:38:21,200
+متين و اتنين و ستينالنيوتن هذه ال energy force
+
+328
+00:38:21,200 --> 00:38:31,320
+طبعا هنا let assume ان رف مهملة تقريبا بالساعة سفر
+
+329
+00:38:31,320 --> 00:38:38,940
+معناته ال piston effort هي ساوي ال fl اللي هو
+
+330
+00:38:38,940 --> 00:38:45,600
+تمانية و ستين الف و ستمية و تمانية و تمانينالان
+
+331
+00:38:45,600 --> 00:38:48,680
+احنا ستين درجة في المصدر المعناته x درجة ماهي تكون
+
+332
+00:38:48,680 --> 00:38:53,520
+minus هنتراح minus ستة عشر الف اتنين ستة اتنين
+
+333
+00:38:53,520 --> 00:38:58,940
+يعني هتكون piston effort تمانية
+
+334
+00:38:58,940 --> 00:39:04,880
+ستين الف ستة تمانية تمانية ماعكس ستة عشر الف اتنين
+
+335
+00:39:04,880 --> 00:39:11,440
+ستة اتنين تطلع تسعة و عربين الف اربعمية و ستة و
+
+336
+00:39:11,440 --> 00:39:13,380
+عشرين نيوتر هذا ال piston effort
+
+337
+00:39:22,400 --> 00:39:30,640
+بدو ال thrust in connecting rod يعني بده FQ FQ
+
+338
+00:39:30,640 --> 00:39:37,380
+بيساوة
+
+339
+00:39:37,380 --> 00:39:41,460
+FB على cos ف
+
+340
+00:39:51,420 --> 00:40:00,340
+بس احنا بنعرف صين الفاى بصواه صين ثيتا على ان يعني
+
+341
+00:40:00,340 --> 00:40:04,180
+صين
+
+342
+00:40:04,180 --> 00:40:15,360
+الستين على أربعة ومنها بحسب الثيتا
+
+343
+00:40:15,360 --> 00:40:18,360
+بحسب الثيتا
+
+344
+00:40:25,060 --> 00:40:26,460
+مش عارف كده
+
+345
+00:41:13,570 --> 00:41:19,650
+طيب طيب بحسب منها ال theta بعد .. بحسب ال .. ال ..
+
+346
+00:41:19,650 --> 00:41:26,850
+بحسب ال five مش ال theta منها بحسب ال five بعد
+
+347
+00:41:26,850 --> 00:41:31,650
+بحسب ال F cube اذا و F P على cosine ال five F cube
+
+348
+00:41:31,650 --> 00:41:35,730
+اذا و F P على cosine ال five بدنا نحسب ال
+
+349
+00:41:35,730 --> 00:41:39,690
+tangential force ال F T ال F T
+
+350
+00:41:50,000 --> 00:41:59,520
+الـ FT هاي معادلة الـ FT ال
+
+351
+00:41:59,520 --> 00:42:05,580
+FT اللي هي F بالساوية FP
+
+352
+00:42:05,580 --> 00:42:08,820
+SIN
+
+353
+00:42:08,820 --> 00:42:19,830
+ثتا زائد فيعلى cosine في أنا عارف ال FB وعارف ال
+
+354
+00:42:19,830 --> 00:42:23,650
+theta اللي هي شتين وعارف ال في اللي حسبته بحسب ال
+
+355
+00:42:23,650 --> 00:42:35,390
+FT و بعدين بده ال torque T بسوء R في ال FT بسوء R
+
+356
+00:42:35,390 --> 00:42:39,800
+في ال FTالـ crank and connecting rod of a petrol
+
+357
+00:42:39,800 --> 00:42:45,300
+engine turning at 1800 rpm عند ال petrol engine
+
+358
+00:42:45,300 --> 00:42:53,800
+سرعة المحرك تبعته أن الف تمانية دورة في الدقيقة
+
+359
+00:42:53,800 --> 00:43:02,040
+ماتين طول ال crank ال R خمسين ميلي وطول ال
+
+360
+00:43:02,040 --> 00:43:08,560
+connecting rod الفتين ميلي متريعني automatic هحسب
+
+361
+00:43:08,560 --> 00:43:15,760
+للان بالساوية L على R اللي هي 200 على 50 بالساوية
+
+362
+00:43:15,760 --> 00:43:19,420
+أربعة The
+
+363
+00:43:19,420 --> 00:43:22,780
+diameter of the piston is eighty millimeters قطر
+
+364
+00:43:22,780 --> 00:43:31,820
+ال piston دي بالساوية تمانين مليمتر The mass of
+
+365
+00:43:31,820 --> 00:43:37,860
+reciprocating parts is one kilogram ال MRمسا واحد
+
+366
+00:43:37,860 --> 00:43:43,620
+point او كيلو gram at a point during the power
+
+367
+00:43:43,620 --> 00:43:48,720
+stroke في لحظة في ال power stroke pressure in
+
+368
+00:43:48,720 --> 00:43:51,500
+piston is point سبعة نيوتن ع ال millimeter square
+
+369
+00:43:51,500 --> 00:43:56,200
+pressure on piston كان ده ال pressure على ال
+
+370
+00:43:56,200 --> 00:43:56,540
+piston
+
+371
+00:44:02,290 --> 00:44:14,050
+البشر P بالسبب هو سبعة أميجا باسكالة When it has
+
+372
+00:44:14,050 --> 00:44:17,410
+moved ten millimeters from inner dead center يعني
+
+373
+00:44:17,410 --> 00:44:23,310
+اتحرك من مسافة عشرة مليمتر يعني X بالساوية عشرة
+
+374
+00:44:23,310 --> 00:44:28,890
+مليمتر Determine
+
+375
+00:44:28,890 --> 00:44:36,880
+net load on GadjonPin بدك تحسر يعني بدك تحسر ال
+
+376
+00:44:36,880 --> 00:44:47,820
+piston effort بدك تحسر ال piston effort هذا
+
+377
+00:44:47,820 --> 00:44:48,520
+المطلوب الأول
+
+378
+00:44:54,500 --> 00:44:57,300
+حكينا ال piston effort هو ال net load ال piston
+
+379
+00:44:57,300 --> 00:45:05,500
+effort ال F P بيستوى F L minus او زاد ال inertia
+
+380
+00:45:05,500 --> 00:45:11,460
+force minus ال friction force let us assume ان ال
+
+381
+00:45:11,460 --> 00:45:19,880
+R F تقريبا is neglected، zero معناته هتصير هذه F L
+
+382
+00:45:19,880 --> 00:45:23,560
+minus or plus ال inertia force
+
+383
+00:45:29,220 --> 00:45:35,720
+طيب ال fl هتكون سواء مساحة مقطع ال piston باي على
+
+384
+00:45:35,720 --> 00:45:41,580
+أربع دي square في ال pressure يعني هتكون ان ال باي
+
+385
+00:45:41,580 --> 00:45:48,440
+على أربع في دي القطر
+
+386
+00:45:48,440 --> 00:45:54,600
+التمانين millimeter في تمانين تربية في bond سبعة
+
+387
+00:45:55,940 --> 00:46:04,860
+عسبنا الأفقال يعني
+
+388
+00:46:04,860 --> 00:46:18,540
+عندي five على أربعة تطلع
+
+389
+00:46:18,540 --> 00:46:23,920
+تلت تلاف وخمسمية وسبعتاشر تلت تلاف وخمسمية
+
+390
+00:46:23,920 --> 00:46:31,210
+وسبعتاشرا نيوتن ال
+
+391
+00:46:31,210 --> 00:46:40,370
+inertia force FI او يعني ال FI ال FI بالساوية MR
+
+392
+00:46:40,370 --> 00:46:50,910
+في omega square R في cosine theta زائد cosine two
+
+393
+00:46:50,910 --> 00:46:59,360
+theta على Nلأن أنا ثتا مش عارفها بس عارف X ال X
+
+394
+00:46:59,360 --> 00:47:04,440
+عنديه شو الساوي من X بقى أحسب الثتا ال X بالساوي R
+
+395
+00:47:04,440 --> 00:47:17,680
+في واحد minus cosine theta زاد sin تربيع ثتا على
+
+396
+00:47:17,680 --> 00:47:32,350
+اتنين N ال X عنديها كام؟عشرة و ال R خمسين خمسين
+
+397
+00:47:32,350 --> 00:47:37,930
+في واحد
+
+398
+00:47:37,930 --> 00:47:46,470
+minus cosine theta زاد sin تربيع theta على اتنين
+
+399
+00:47:46,470 --> 00:47:51,190
+في ان ان اللي هي اكمل حسب الله اربعة
+
+400
+00:48:00,700 --> 00:48:04,240
+خلّيني أبسطها عشرة على خمسة اتنين من عشرة اتنين من
+
+401
+00:48:04,240 --> 00:48:18,100
+عشرة بتساوي واحد minus cosine theta زائد bond bond
+
+402
+00:48:18,100 --> 00:48:27,200
+واحد اتنين خمسة في ال sine تربيه عبارة عن واحد
+
+403
+00:48:27,200 --> 00:48:33,470
+ناقص cosine تربيه في واحدminus cosine تربية theta
+
+404
+00:48:33,470 --> 00:48:36,810
+خلّى
+
+405
+00:48:36,810 --> 00:48:43,730
+أجيب الواحد على الجهة التانية بالسيران
+
+406
+00:48:43,730 --> 00:48:49,630
+دي point two بالسيران دي minus point eight أو أجيب
+
+407
+00:48:49,630 --> 00:48:56,390
+الاتنين هنا بالسيران دي point تمانية
+
+408
+00:48:58,100 --> 00:49:10,300
+minus cosine theta زائد point واحد اتنين خمسة ناقص
+
+409
+00:49:10,300 --> 00:49:20,040
+point واحد اتنين خمسة cosine تربيع theta بالساوة
+
+410
+00:49:20,040 --> 00:49:20,380
+صفر
+
+411
+00:49:27,800 --> 00:49:37,240
+يعني هتصير عندى point تسعة اتنين خمسة minus cosine
+
+412
+00:49:37,240 --> 00:49:47,740
+theta minus point واحد اتنين خمسة cosine تربيع
+
+413
+00:49:47,740 --> 00:49:54,790
+theta بالساوية صفر بدي اقسم على minus واحدأو
+
+414
+00:49:54,790 --> 00:49:58,150
+خلّيني أضرب في تمانية بدي أضرب في تمانية الطرفين
+
+415
+00:49:58,150 --> 00:50:02,830
+عشان أبسط هضرب طرفين في تمانية في سالب تمانية
+
+416
+00:50:02,830 --> 00:50:09,690
+هزران دي cosine تربيع يعني هضربها في سالب تمانية
+
+417
+00:50:09,690 --> 00:50:16,510
+هزران دي cosine تربيع theta زائد
+
+418
+00:50:16,510 --> 00:50:19,190
+تمانية
+
+419
+00:50:20,830 --> 00:50:39,550
+cos θ minus minus
+
+420
+00:50:39,550 --> 00:50:46,790
+7.4 بالساوية
+
+421
+00:50:46,790 --> 00:50:47,810
+سفر
+
+422
+00:50:50,340 --> 00:50:57,560
+يعني cos θ هذه
+
+423
+00:50:57,560 --> 00:51:03,660
+كأنها معادلة على شكل x تربيه زائد بي في x x تربيه
+
+424
+00:51:03,660 --> 00:51:06,240
+زائد بي في x زائد c بالساوية constant المعنى أن
+
+425
+00:51:06,240 --> 00:51:16,460
+cos θ هتكون تساوي minus تمانية زائد أو ناقص الجزر
+
+426
+00:51:16,460 --> 00:51:17,220
+التربيعي
+
+427
+00:51:20,460 --> 00:51:33,640
+لأربع و ستين زائد لأربع
+
+428
+00:51:33,640 --> 00:51:46,240
+و ستين زائد أربعة في سبع point أربعة كله على اتنين
+
+429
+00:51:52,680 --> 00:51:58,200
+طبعا ال minus مرفوضة لأنها تجعل ال cosine أكتر من
+
+430
+00:51:58,200 --> 00:52:06,260
+واحد وهذا مستحيل ال minus sign is rejected لأنها
+
+431
+00:52:06,260 --> 00:52:12,540
+تجعل ال cosine أكتر من واحد كميتها
+
+432
+00:52:12,540 --> 00:52:17,060
+أكتر من واحد معناته ال cosine تترحب بين minus واحد
+
+433
+00:52:17,060 --> 00:52:20,200
+و واحد مستحيل معناته هتكون plus معناته هتكون
+
+434
+00:52:20,200 --> 00:52:30,670
+cosine thetaهتكون تساوي minus تمانية زاد الجزر
+
+435
+00:52:30,670 --> 00:52:35,130
+التربيعي للاربعة وستين زاد اربعة في سبعة واربعة
+
+436
+00:52:35,130 --> 00:52:37,850
+على اتنين زاد جزر التربيعي
+
+437
+00:52:55,080 --> 00:53:00,960
+زي اجازة تربية لتلات سنين بونت
+
+438
+00:53:00,960 --> 00:53:13,680
+ستة على اتنين هعدل كسان ثتا ومنها بقى احسب الثتا
+
+439
+00:53:13,680 --> 00:53:21,320
+منها بقى احسب الثتا once ال theta is calculated
+
+440
+00:53:23,730 --> 00:53:29,110
+once theta is calculated بقدر ايش احسب ال fi
+
+441
+00:53:29,110 --> 00:53:39,290
+معناته حسير عندي حسير
+
+442
+00:53:39,290 --> 00:53:43,910
+عندي ال fi اللي
+
+443
+00:53:43,910 --> 00:53:48,730
+هي بتسوي ال mr عندي واحد
+
+444
+00:53:48,730 --> 00:53:52,010
+في
+
+445
+00:53:52,010 --> 00:53:52,470
+ال omega
+
+446
+00:53:55,750 --> 00:54:06,390
+الامجا احنا ما حسبناش الامجا بساوي
+
+447
+00:54:06,390 --> 00:54:18,550
+الف تونمية في اتنين باي ع ستين الف
+
+448
+00:54:18,550 --> 00:54:26,590
+تونميةفي اتنين في باي تقسيم ستين تطلع مية و تمانية
+
+449
+00:54:26,590 --> 00:54:31,750
+و تمانين point four رديان
+
+450
+00:54:31,750 --> 00:54:38,130
+لكل second يعني ال FI هتكون في مية و تمانية و
+
+451
+00:54:38,130 --> 00:54:42,550
+تمانين point four تربيع
+
+452
+00:54:42,550 --> 00:54:49,030
+في ال R ال R عندى خمسين في point O
+
+453
+00:54:51,920 --> 00:54:56,320
+خمسة في cosine theta اللي انا حسبت من هنا في
+
+454
+00:54:56,320 --> 00:55:06,520
+cosine theta زائد cosine two theta على
+
+455
+00:55:06,520 --> 00:55:12,400
+n اللي هي اياش n اربعة على اربعة ومنها بحسب ال
+
+456
+00:55:12,400 --> 00:55:15,640
+inertia force ال inertia force
+
+457
+00:55:18,520 --> 00:55:24,600
+بس خليني بدي انا احسب ال theta عشان
+
+458
+00:55:24,600 --> 00:55:26,120
+اعرف حالي انا وين
+
+459
+00:55:47,440 --> 00:55:53,960
+المعادلة اللي عندي اللي هو جزر 93.6 ناقص 8 على 2
+
+460
+00:55:53,960 --> 00:55:59,960
+جزر 93 93
+
+461
+00:55:59,960 --> 00:56:04,560
+.6 تحت
+
+462
+00:56:04,560 --> 00:56:14,590
+الجزر ناقص 8 على 2تطلع cos θ بتساوي point تمانية
+
+463
+00:56:14,590 --> 00:56:21,050
+تلاتة سبعة أربعة point تمانية تلاتة point تمانية
+
+464
+00:56:21,050 --> 00:56:24,170
+cos
+
+465
+00:56:24,170 --> 00:56:30,490
+θ تطلع point تمانية تلاتة
+
+466
+00:56:30,490 --> 00:56:35,750
+سبعة أربعة هذا
+
+467
+00:56:35,750 --> 00:56:36,450
+هو cos θ
+
+468
+00:56:44,750 --> 00:56:46,670
+هتكون صغيرة ثتا
+
+469
+00:58:00,570 --> 00:58:07,170
+أنا عندي point zero point تمانية تلاتة سبعة أربعة
+
+470
+00:58:07,170 --> 00:58:14,390
+اللي هو cosine inverse تطلع
+
+471
+00:58:14,390 --> 00:58:17,910
+تلاتة و تلاتين point تلتاش تلاتة و تلاتين theta
+
+472
+00:58:17,910 --> 00:58:25,350
+تلاتة و تلاتين point تلتاشر degree يعني انا هسير
+
+473
+00:58:25,350 --> 00:58:33,590
+عندي هنا في cosine في cosineتلات تلاتين bond تلات
+
+474
+00:58:33,590 --> 00:58:39,170
+تاش زاد cosine ستة
+
+475
+00:58:39,170 --> 00:58:47,430
+ستة ستة عشرين degree على على
+
+476
+00:58:47,430 --> 00:58:50,930
+N على أربع
+
+477
+00:58:50,930 --> 00:58:53,030
+يعني انا هكون عندي ال FI
+
+478
+00:59:04,420 --> 00:59:10,020
+تلتاش كو ساين زائد
+
+479
+00:59:32,050 --> 00:59:39,410
+طيب المهم فبحسب ال fi مضطر إلها قيمة بعدين هحسب
+
+480
+00:59:39,410 --> 00:59:42,830
+piston effort في الحالة هذه أنا معناته I am
+
+481
+00:59:42,830 --> 00:59:45,870
+accelerating معناته هتكون piston effort هتكون fl
+
+482
+00:59:45,870 --> 00:59:55,530
+minus ال fi هي حسبنا ال piston effort حسبنا ال
+
+483
+00:59:55,530 --> 00:59:56,450
+piston effort
+
+484
+01:00:05,020 --> 01:00:16,280
+هذا المطلوب الأول المطلوب التاني ال trust
+
+485
+01:00:16,280 --> 01:00:25,260
+in connecting rods يعني بده FQ FQ بس هو FP على
+
+486
+01:00:25,260 --> 01:00:31,420
+cosine الفاى sine الفاى
+
+487
+01:00:33,910 --> 01:00:42,630
+بساوى sin θ على n يعني هتكون ساوى sin الـ 33 بقون
+
+488
+01:00:42,630 --> 01:00:49,530
+13 على n اللي هي أربعة و منها بحسب الفاي بعدين
+
+489
+01:00:49,530 --> 01:00:51,890
+بحسب ال FQ
+
+490
+01:00:59,380 --> 01:01:03,660
+بدو reaction between piston and .. reaction
+
+491
+01:01:03,660 --> 01:01:07,640
+between piston and cylinder reaction between
+
+492
+01:01:07,640 --> 01:01:11,500
+piston and cylinder لان نروح لل free body diagram
+
+493
+01:01:11,500 --> 01:01:23,260
+بدو reaction between piston and cylinder انا
+
+494
+01:01:23,260 --> 01:01:28,020
+عندي هاي ال piston هاي
+
+495
+01:01:28,020 --> 01:01:28,880
+ال piston effort
+
+496
+01:01:31,730 --> 01:01:37,230
+و هاي ال
+
+497
+01:01:37,230 --> 01:01:51,210
+F ال FQ و في عندها FN و عندها ال W Reciprocating
+
+498
+01:02:01,580 --> 01:02:07,300
+لو خدت summation هاي ال X هاي ال Y حد كدت
+
+499
+01:02:07,300 --> 01:02:13,640
+summation لل forces باتجاه ال Y هتساوي Zero هتساوي
+
+500
+01:02:13,640 --> 01:02:24,300
+باتجاه ال Y هتكون FN minus WR minus FQ
+
+501
+01:02:40,910 --> 01:02:48,150
+WR FQ SIN 5
+
+502
+01:03:01,420 --> 01:03:09,140
+يعني WR هي MR في G زي FQ هي برعن Piston Effort FP
+
+503
+01:03:09,140 --> 01:03:15,240
+رودي حسبناها يعني مش ده .. هخليها زي ما هي FQ SINE
+
+504
+01:03:15,240 --> 01:03:19,920
+الفاي انا رودي عارف ال mass بتاعة ال MR وال G
+
+505
+01:03:19,920 --> 01:03:26,080
+معروفة ال FQ حسبناها والفاي معروفة طيب
+
+506
+01:03:30,070 --> 01:03:33,790
+المطلوب الرابع engine speed at which the above
+
+507
+01:03:33,790 --> 01:03:39,830
+values become zero سرعة المحرك .. سرعة المحرك ال
+
+508
+01:03:39,830 --> 01:03:49,030
+RPM اللي عندها بتكون ال above values اللي هي net
+
+509
+01:03:49,030 --> 01:03:53,310
+load on Gadget pen اللي هي FP يعني بده .. بده
+
+510
+01:03:53,310 --> 01:03:57,490
+omega at which
+
+511
+01:04:00,530 --> 01:04:10,310
+ف بي بالساوية ايش؟ Zero ببساطة هجحك عندى ف بي
+
+512
+01:04:10,310 --> 01:04:25,230
+بالساوية Zero بالساوية اللى هى هتكون Fl minus Fi
+
+513
+01:04:27,900 --> 01:04:30,440
+يعني هحل المعادلة هذه انا مش عارف ممكن تكون minus
+
+514
+01:04:30,440 --> 01:04:33,180
+او plus مارها هحلها minus و مارها هحلها plus
+
+515
+01:04:33,180 --> 01:04:40,000
+الأفقال احنا عارفينها باي على أربع دي square في ال
+
+516
+01:04:40,000 --> 01:04:46,520
+pressure نحكي assume constant
+
+517
+01:04:46,520 --> 01:04:51,040
+pressure
+
+518
+01:04:51,040 --> 01:04:56,300
+وال
+
+519
+01:04:56,300 --> 01:05:08,180
+F Iاللي هي عبارة عن mr omega square r cos θ زائد
+
+520
+01:05:08,180 --> 01:05:13,640
+cos 2θ على n يعني انا هعوضها فيها اذا حسيب عندي ال
+
+521
+01:05:13,640 --> 01:05:20,020
+zero بالساوية الافقال اللي هي اللي هي محسوب y على
+
+522
+01:05:20,020 --> 01:05:31,340
+اربعة d square P minus mrوميجا سكوار ر في كوسين
+
+523
+01:05:31,340 --> 01:05:41,180
+ثيتا زائد كوسين تو ثيتا على ان solve this equation
+
+524
+01:05:41,180 --> 01:05:46,660
+for theta solve for
+
+525
+01:05:46,660 --> 01:05:47,260
+theta
+
+526
+01:05:55,570 --> 01:06:06,110
+solve for theta اه
+
+527
+01:06:06,110 --> 01:06:12,590
+solve for omega
+
+528
+01:06:12,590 --> 01:06:16,530
+ارجع النظر تحلو التالي ارجع النظر تروحوا على ال
+
+529
+01:06:16,530 --> 01:06:20,990
+math lab go
+
+530
+01:06:20,990 --> 01:06:24,670
+او go او use
+
+531
+01:06:26,310 --> 01:06:32,690
+math lab ار
+
+532
+01:06:32,690 --> 01:06:37,430
+Mathematica
+
+533
+01:06:37,430 --> 01:06:41,350
+حسب
+
+534
+01:06:41,350 --> 01:06:50,890
+ار مابل بيتكرويها ار Mathcad
+
+535
+01:06:54,630 --> 01:07:01,610
+or even excel plot
+
+536
+01:07:01,610 --> 01:07:05,970
+plot
+
+537
+01:07:05,970 --> 01:07:11,230
+plot
+
+538
+01:07:11,230 --> 01:07:16,270
+plot
+
+539
+01:07:16,270 --> 01:07:25,250
+اللي هيالكون ال variables اللي هي ال F T و ال F I
+
+540
+01:07:25,250 --> 01:07:46,870
+و ال F L و ال F Q و ال F B و ال F T versus Theta C
+
+541
+01:07:50,060 --> 01:07:56,320
+how things are
+
+542
+01:07:56,320 --> 01:08:00,220
+going on شوف كيف الأمور ماشية
+
+543
+01:08:11,930 --> 01:08:14,330
+المطلوب الأخير هى ال engine speed at which the
+
+544
+01:08:14,330 --> 01:08:20,850
+above values become zero for
+
+545
+01:08:20,850 --> 01:08:23,850
+the same angle يعني انا هلعب في زاوية اللي .. اللي
+
+546
+01:08:23,850 --> 01:08:26,090
+.. اللي .. اللي حاسير .. اللي حاسير مثلا ال F
+
+547
+01:08:26,090 --> 01:08:31,790
+piston بيصوى F L .. F L minus F I يعني لما ال ..
+
+548
+01:08:31,790 --> 01:08:36,390
+ال piston effort لما ال load بيصوى ال inertia
+
+549
+01:08:36,390 --> 01:08:38,270
+force بصل
+
+550
+01:08:42,480 --> 01:08:50,100
+و بحسب عند نفس الزاوية اللي هي ال omega بس نصيحته
+
+551
+01:08:50,100 --> 01:08:54,420
+use MATLAB او Mathematica مابل ماتكاد اكسر او any
+
+552
+01:08:54,420 --> 01:08:57,860
+software Mathematica software اعمل plot لل FB و FI
+
+553
+01:08:57,860 --> 01:09:03,880
+و FL و FQ و FB و FT versus θ for a certain omega
+
+554
+01:09:03,880 --> 01:09:08,280
+العب في omega كمان العب في omega معيعني .. يعني
+
+555
+01:09:08,280 --> 01:09:12,140
+خلّي two variables عندك Omega وTheta وشوف كيف
+
+556
+01:09:12,140 --> 01:09:16,060
+الأمور بتمشي معاك ال plotting بيعطيلك more insight
+
+557
+01:09:16,060 --> 01:09:19,200
+في ال .. في ال .. في المثلة و طبعا هذه ال ..
+
+558
+01:09:19,200 --> 01:09:23,260
+الاصلادة كانت لك ميكانزم مسألة مهمة جدا جدا لإنه
+
+559
+01:09:23,260 --> 01:09:27,660
+ال engine في المحرك بتاع ال .. كل المحركات اللي ..
+
+560
+01:09:28,290 --> 01:09:33,930
+اللي بتشتغل بالوقود سواء كان بنزين او ديزل بتشتغل
+
+561
+01:09:33,930 --> 01:09:36,790
+على نفس ال principle هيك بنكون خلصنا ال section
+
+562
+01:09:36,790 --> 01:09:44,050
+هذا يعني انا بشوف المعيد اخدحلكم example ع خمساش
+
+563
+01:09:44,050 --> 01:09:48,550
+عشر خمساش أحداشر خمساش اتناش المحاضرة جاي هنكمل
+
+564
+01:09:48,550 --> 01:09:49,470
+اعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EoHqH6PPs5A_raw.json b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EoHqH6PPs5A_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..e695e5679c5a22bdb625ebf1207fbc60eda0fe79
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EoHqH6PPs5A_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3477, "start": 4.89, "end": 34.77, "text": "بسم الله الرحمن الرحيم السلام عليكم ورحمة الله وبركاته اليوم هنكمل الشابتر inertia forces of reciprocating parts بعدين هدرسنا اللي هو velocity displacement and acceleration analysis لل slotted crank mechanism حسبنا ال velocity و ال acceleration و ال position لل piston حسبنا ال angular velocity و ال angular acceleration لل connecting rod طبعا هنعطينا حلول تحليلية تقريبية عملنا بعض ال approximations", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21136, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224, 45595, 20498, 8032, 1863, 24793, 1211, 25124, 16758, 2655, 2288, 37234, 5874, 295, 28961, 66, 990, 3166, 39182, 9957, 8032, 3215, 2288, 3794, 8315, 13672, 1829, 31439, 9269, 21899, 293, 17162, 5215, 24976, 1061, 11252, 21263, 7513, 11331, 35457, 8315, 2423, 9269, 4032, 2423, 17162, 4032, 2423, 2535, 24976, 30002, 11331, 35457, 8315, 2423, 24413, 9269, 4032, 2423, 24413, 17162, 24976, 11015, 8685, 23032, 3555, 3615, 995, 8032, 1863, 3615, 9566, 1829, 8315, 11331, 1211, 12610, 6055, 5016, 20292, 1211, 10632, 6055, 4587, 16572, 3555, 10632, 6225, 42213, 8315, 45030, 11242, 2423, 8542, 763], "avg_logprob": -0.1766419515518819, "compression_ratio": 1.8266666666666667, "no_speech_prob": 0.029266357421875, "words": [{"start": 4.89, "end": 5.51, "word": "بسم", "probability": 0.85205078125}, {"start": 5.51, "end": 5.79, "word": " الله", "probability": 0.9609375}, {"start": 5.79, "end": 6.13, "word": " الرحمن", "probability": 0.9591471354166666}, {"start": 6.13, "end": 6.47, "word": " الرحيم", "probability": 0.9892578125}, {"start": 6.47, "end": 6.85, "word": " السلام", "probability": 0.84375}, {"start": 6.85, "end": 7.27, "word": " عليكم", "probability": 0.951904296875}, {"start": 7.27, "end": 7.61, "word": " ورحمة", "probability": 0.877197265625}, {"start": 7.61, "end": 7.83, "word": " الله", "probability": 0.962890625}, {"start": 7.83, "end": 8.49, "word": " وبركاته", "probability": 0.98671875}, {"start": 8.49, "end": 9.27, "word": " اليوم", "probability": 0.947265625}, {"start": 9.27, "end": 9.85, "word": " هنكمل", "probability": 0.947998046875}, {"start": 9.85, "end": 10.57, "word": " الشابتر", "probability": 0.533599853515625}, {"start": 10.57, "end": 10.91, "word": " inertia", "probability": 0.806640625}, {"start": 10.91, "end": 12.01, "word": " forces", "probability": 0.859375}, {"start": 12.01, "end": 12.25, "word": " of", "probability": 0.79248046875}, {"start": 12.25, "end": 13.03, "word": " reciprocating", "probability": 0.9085286458333334}, {"start": 13.03, "end": 13.51, "word": " parts", "probability": 0.88330078125}, {"start": 13.51, "end": 14.55, "word": " بعدين", "probability": 0.64306640625}, {"start": 14.55, "end": 15.17, "word": " هدرسنا", "probability": 0.96904296875}, {"start": 15.17, "end": 15.39, "word": " اللي", "probability": 0.5665283203125}, {"start": 15.39, "end": 15.65, "word": " هو", 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"word": " و", "probability": 0.97314453125}, {"start": 27.61, "end": 27.75, "word": " ال", "probability": 0.8447265625}, {"start": 27.75, "end": 28.07, "word": " angular", "probability": 0.82568359375}, {"start": 28.07, "end": 28.49, "word": " acceleration", "probability": 0.90234375}, {"start": 28.49, "end": 28.73, "word": " لل", "probability": 0.875}, {"start": 28.73, "end": 29.13, "word": " connecting", "probability": 0.8818359375}, {"start": 29.13, "end": 29.31, "word": " rod", "probability": 0.93603515625}, {"start": 29.31, "end": 29.97, "word": " طبعا", "probability": 0.981201171875}, {"start": 29.97, "end": 31.05, "word": " هنعطينا", "probability": 0.9484049479166666}, {"start": 31.05, "end": 31.49, "word": " حلول", "probability": 0.99365234375}, {"start": 31.49, "end": 32.33, "word": " تحليلية", "probability": 0.928125}, {"start": 32.33, "end": 33.35, "word": " تقريبية", "probability": 0.89189453125}, {"start": 33.35, "end": 33.69, "word": " عملنا", "probability": 0.9820963541666666}, {"start": 33.69, "end": 33.93, "word": " بعض", "probability": 0.98779296875}, {"start": 33.93, "end": 34.07, "word": " ال", "probability": 0.9208984375}, {"start": 34.07, "end": 34.77, "word": " approximations", "probability": 0.929931640625}], "temperature": 1.0}, {"id": 2, "seek": 5764, "start": 35.88, "end": 57.64, "text": "هنكمل نحسب ال forces على الـ reciprocating parts of an engine انا عند هنا استخدام الكرانك عند هاي مركز دوران الكرانك او هاي الكرانك", "tokens": [3224, 1863, 24793, 1211, 8717, 5016, 35457, 2423, 5874, 15844, 2423, 39184, 28961, 66, 990, 3166, 295, 364, 2848, 1975, 8315, 43242, 34105, 44713, 9778, 3215, 10943, 33251, 2288, 7649, 4117, 43242, 8032, 47302, 3714, 31747, 11622, 11778, 13063, 7649, 33251, 2288, 7649, 4117, 1975, 2407, 8032, 47302, 33251, 2288, 7649, 4117], "avg_logprob": -0.3366745260526549, "compression_ratio": 1.5185185185185186, "no_speech_prob": 0.0, "words": [{"start": 35.879999999999995, "end": 36.76, "word": "هنكمل", "probability": 0.93310546875}, {"start": 36.76, "end": 37.22, "word": " نحسب", "probability": 0.9752604166666666}, {"start": 37.22, "end": 37.48, "word": " ال", "probability": 0.92138671875}, {"start": 37.48, "end": 37.88, "word": " forces", "probability": 0.86474609375}, {"start": 37.88, "end": 38.3, "word": " على", "probability": 0.7958984375}, {"start": 38.3, "end": 38.48, "word": " الـ", "probability": 0.4329986572265625}, {"start": 38.48, "end": 39.02, "word": " reciprocating", "probability": 0.7351888020833334}, {"start": 39.02, "end": 39.36, "word": " parts", "probability": 0.85791015625}, {"start": 39.36, "end": 39.64, "word": " of", "probability": 0.94580078125}, {"start": 39.64, "end": 39.94, "word": " an", "probability": 0.8828125}, {"start": 39.94, "end": 40.34, "word": " engine", "probability": 0.951171875}, {"start": 40.34, "end": 45.28, "word": " انا", "probability": 0.69775390625}, {"start": 45.28, "end": 45.42, "word": " عند", "probability": 0.68212890625}, {"start": 45.42, "end": 45.78, "word": " هنا", "probability": 0.3740234375}, {"start": 45.78, "end": 46.4, "word": " استخدام", "probability": 0.6473388671875}, {"start": 46.4, "end": 46.98, "word": " الكرانك", "probability": 0.7340087890625}, {"start": 46.98, "end": 48.18, "word": " عند", "probability": 0.143798828125}, {"start": 48.18, "end": 48.54, "word": " هاي", "probability": 0.5919189453125}, {"start": 48.54, "end": 49.36, "word": " مركز", "probability": 0.95263671875}, {"start": 49.36, "end": 49.76, "word": " دوران", "probability": 0.8341471354166666}, {"start": 49.76, "end": 53.9, "word": " الكرانك", "probability": 0.8204345703125}, {"start": 53.9, "end": 54.5, "word": " او", "probability": 0.796142578125}, {"start": 54.5, "end": 56.96, "word": " هاي", "probability": 0.797607421875}, {"start": 56.96, "end": 57.64, "word": " الكرانك", "probability": 0.972412109375}], "temperature": 1.0}, {"id": 3, "seek": 9394, "start": 64.48, "end": 93.94, "text": "و هاي ال connecting rod هذه OC وهذه نقطة P وهذه ال piston الكراينك بدور", "tokens": [2407, 8032, 47302, 2423, 11015, 8685, 29538, 42278, 37037, 24192, 8717, 47432, 3660, 430, 37037, 24192, 2423, 30002, 33251, 23557, 9957, 4117, 47525, 13063], "avg_logprob": -0.4862500190734863, "compression_ratio": 1.164835164835165, "no_speech_prob": 0.0, "words": [{"start": 64.48, "end": 64.74, "word": "و", "probability": 0.65673828125}, {"start": 64.74, "end": 64.9, "word": " هاي", "probability": 0.50347900390625}, {"start": 64.9, "end": 65.02, "word": " ال", "probability": 0.89697265625}, {"start": 65.02, "end": 65.42, "word": " connecting", "probability": 0.68505859375}, {"start": 65.42, "end": 65.88, "word": " rod", "probability": 0.865234375}, {"start": 65.88, "end": 72.38, "word": " هذه", "probability": 0.309326171875}, {"start": 72.38, "end": 73.0, "word": " OC", "probability": 0.317626953125}, {"start": 73.0, "end": 75.64, "word": " وهذه", "probability": 0.4295654296875}, {"start": 75.64, "end": 76.14, "word": " نقطة", "probability": 0.8271484375}, {"start": 76.14, "end": 76.82, "word": " P", "probability": 0.98388671875}, {"start": 76.82, "end": 79.0, "word": " وهذه", "probability": 0.728759765625}, {"start": 79.0, "end": 79.16, "word": " ال", "probability": 0.5810546875}, {"start": 79.16, "end": 82.38, "word": " piston", "probability": 0.75341796875}, {"start": 82.38, "end": 93.48, "word": " الكراينك", "probability": 0.63922119140625}, {"start": 93.48, "end": 93.94, "word": " بدور", "probability": 0.784912109375}], "temperature": 1.0}, {"id": 4, "seek": 11956, "start": 98.24, "end": 119.56, "text": "بصورة على الزاوية omega clockwise الزاوية مع الأفق هذا theta والزاوية بيصويها ال connecting rod مع الأفق هذا الزاوية في", "tokens": [3555, 9381, 13063, 3660, 15844, 6024, 110, 995, 2407, 10632, 10498, 35790, 6024, 110, 995, 2407, 10632, 20449, 16247, 5172, 4587, 23758, 9725, 16070, 11622, 995, 2407, 10632, 4724, 1829, 9381, 45865, 11296, 2423, 11015, 8685, 20449, 16247, 5172, 4587, 23758, 6024, 110, 995, 2407, 10632, 8978], "avg_logprob": -0.2762044370174408, "compression_ratio": 1.5203252032520325, "no_speech_prob": 0.0, "words": [{"start": 98.24, "end": 98.64, "word": "بصورة", "probability": 0.803955078125}, {"start": 98.64, "end": 98.78, "word": " على", "probability": 0.52734375}, {"start": 98.78, "end": 99.08, "word": " الزاوية", "probability": 0.92314453125}, {"start": 99.08, "end": 99.46, "word": " omega", "probability": 0.4287109375}, {"start": 99.46, "end": 100.84, "word": " clockwise", "probability": 0.7900390625}, {"start": 100.84, "end": 103.14, "word": " الزاوية", "probability": 0.880078125}, {"start": 103.14, "end": 103.84, "word": " مع", "probability": 0.96875}, {"start": 103.84, "end": 104.32, "word": " الأفق", "probability": 0.8509114583333334}, {"start": 104.32, "end": 108.4, "word": " هذا", "probability": 0.48779296875}, {"start": 108.4, "end": 108.96, "word": " theta", "probability": 0.1580810546875}, {"start": 108.96, "end": 111.78, "word": " والزاوية", "probability": 0.89208984375}, {"start": 111.78, "end": 112.4, "word": " بيصويها", "probability": 0.67861328125}, {"start": 112.4, "end": 112.68, "word": " ال", "probability": 0.84814453125}, {"start": 112.68, "end": 113.8, "word": " connecting", "probability": 0.7255859375}, {"start": 113.8, "end": 114.12, "word": " rod", "probability": 0.5185546875}, {"start": 114.12, "end": 114.38, "word": " مع", "probability": 0.98583984375}, {"start": 114.38, "end": 114.82, "word": " الأفق", "probability": 0.9690755208333334}, {"start": 114.82, "end": 116.24, "word": " هذا", "probability": 0.892578125}, {"start": 116.24, "end": 117.02, "word": " الزاوية", "probability": 0.954296875}, {"start": 117.02, "end": 119.56, "word": " في", "probability": 0.26953125}], "temperature": 1.0}, {"id": 5, "seek": 14391, "start": 128.59, "end": 143.91, "text": "الان لو بدأ اعمل force analysis و بدأت من عند ال piston هكون عند ال piston هين هنلق force analysis", "tokens": [6027, 7649, 45164, 47525, 10721, 1975, 25957, 1211, 3464, 5215, 4032, 47525, 10721, 2655, 9154, 43242, 2423, 30002, 8032, 30544, 43242, 2423, 30002, 8032, 9957, 8032, 1863, 1211, 4587, 3464, 5215], "avg_logprob": -0.36083983164280653, "compression_ratio": 1.4183673469387754, "no_speech_prob": 0.0, "words": [{"start": 128.59, "end": 129.07, "word": "الان", "probability": 0.427490234375}, {"start": 129.07, "end": 129.83, "word": " لو", "probability": 0.97021484375}, {"start": 129.83, "end": 130.07, "word": " بدأ", "probability": 0.3931884765625}, {"start": 130.07, "end": 130.23, "word": " اعمل", "probability": 0.7862141927083334}, {"start": 130.23, "end": 130.63, "word": " force", "probability": 0.91845703125}, {"start": 130.63, "end": 131.19, "word": " analysis", "probability": 0.88232421875}, {"start": 131.19, "end": 131.35, "word": " و", "probability": 0.91943359375}, {"start": 131.35, "end": 132.01, "word": " بدأت", "probability": 0.8115234375}, {"start": 132.01, "end": 132.29, "word": " من", "probability": 0.8095703125}, {"start": 132.29, "end": 133.43, "word": " عند", "probability": 0.98779296875}, {"start": 133.43, "end": 133.87, "word": " ال", "probability": 0.9140625}, {"start": 133.87, "end": 134.31, "word": " piston", "probability": 0.76318359375}, {"start": 134.31, "end": 138.27, "word": " هكون", "probability": 0.552734375}, {"start": 138.27, "end": 138.45, "word": " عند", "probability": 0.94580078125}, {"start": 138.45, "end": 138.59, "word": " ال", "probability": 0.98681640625}, {"start": 138.59, "end": 138.99, "word": " piston", "probability": 0.9560546875}, {"start": 138.99, "end": 140.13, "word": " هين", "probability": 0.5506591796875}, {"start": 140.13, "end": 141.79, "word": " هنلق", "probability": 0.6652984619140625}, {"start": 141.79, "end": 143.29, "word": " force", "probability": 0.96875}, {"start": 143.29, "end": 143.91, "word": " analysis", "probability": 0.8994140625}], "temperature": 1.0}, {"id": 6, "seek": 18176, "start": 159.62, "end": 181.76, "text": "هيكون في عندي هين جاي piston effort FP في عندي normal force هين من الجدار بتاع الأستوانة F normal و في عندي وزن ال reciprocating parts", "tokens": [3224, 1829, 30544, 8978, 18871, 16254, 8032, 9957, 10874, 47302, 30002, 4630, 36655, 8978, 18871, 16254, 2710, 3464, 8032, 9957, 9154, 25724, 3215, 9640, 39894, 45761, 16247, 14851, 2407, 7649, 3660, 479, 2710, 4032, 8978, 18871, 16254, 4032, 11622, 1863, 2423, 28961, 66, 990, 3166], "avg_logprob": -0.3675271829833155, "compression_ratio": 1.3785714285714286, "no_speech_prob": 0.0, "words": [{"start": 159.62, "end": 160.06, "word": "هيكون", "probability": 0.6868896484375}, {"start": 160.06, "end": 160.2, "word": " في", "probability": 0.72314453125}, {"start": 160.2, "end": 160.44, "word": " عندي", "probability": 0.6611328125}, {"start": 160.44, "end": 160.74, "word": " هين", "probability": 0.62158203125}, {"start": 160.74, "end": 161.18, "word": " جاي", "probability": 0.78466796875}, {"start": 161.18, "end": 161.82, "word": " piston", "probability": 0.64892578125}, {"start": 161.82, "end": 162.44, "word": " effort", "probability": 0.90380859375}, {"start": 162.44, "end": 165.84, "word": " FP", "probability": 0.262939453125}, {"start": 165.84, "end": 168.56, "word": " في", "probability": 0.64794921875}, {"start": 168.56, "end": 168.68, "word": " عندي", "probability": 0.659423828125}, {"start": 168.68, "end": 168.98, "word": " normal", "probability": 0.60693359375}, {"start": 168.98, "end": 169.6, "word": " force", "probability": 0.98095703125}, {"start": 169.6, "end": 169.98, "word": " هين", "probability": 0.6617431640625}, {"start": 169.98, "end": 171.36, "word": " من", "probability": 0.9501953125}, {"start": 171.36, "end": 172.02, "word": " الجدار", "probability": 0.7452799479166666}, {"start": 172.02, "end": 172.24, "word": " بتاع", "probability": 0.73095703125}, {"start": 172.24, "end": 173.46, "word": " الأستوانة", "probability": 0.745654296875}, {"start": 173.46, "end": 174.02, "word": " F", "probability": 0.5625}, {"start": 174.02, "end": 175.1, "word": " normal", "probability": 0.64013671875}, {"start": 175.1, "end": 177.52, "word": " و", "probability": 0.95166015625}, {"start": 177.52, "end": 177.64, "word": " في", "probability": 0.5126953125}, {"start": 177.64, "end": 177.82, "word": " عندي", "probability": 0.979736328125}, {"start": 177.82, "end": 178.32, "word": " وزن", "probability": 0.9908854166666666}, {"start": 178.32, "end": 180.66, "word": " ال", "probability": 0.763671875}, {"start": 180.66, "end": 181.26, "word": " reciprocating", "probability": 0.8972981770833334}, {"start": 181.26, "end": 181.76, "word": " parts", "probability": 0.87646484375}], "temperature": 1.0}, {"id": 7, "seek": 22340, "start": 196.36, "end": 223.4, "text": "و فيه عندى force من ال connecting rod في هذا بشكل أسئلة لو أخدت ال piston لو أخدت ال connecting rod", "tokens": [2407, 8978, 3224, 43242, 7578, 3464, 9154, 2423, 11015, 8685, 8978, 23758, 4724, 8592, 28820, 5551, 3794, 19986, 37977, 45164, 5551, 9778, 3215, 2655, 2423, 30002, 45164, 5551, 9778, 3215, 2655, 2423, 11015, 8685], "avg_logprob": -0.17756696173122952, "compression_ratio": 1.3055555555555556, "no_speech_prob": 0.0, "words": [{"start": 196.36, "end": 196.6, "word": "و", "probability": 0.76708984375}, {"start": 196.6, "end": 196.76, "word": " فيه", "probability": 0.476318359375}, {"start": 196.76, "end": 197.02, "word": " عندى", "probability": 0.783935546875}, {"start": 197.02, "end": 197.52, "word": " force", "probability": 0.9423828125}, {"start": 197.52, "end": 203.84, "word": " من", "probability": 0.91845703125}, {"start": 203.84, "end": 204.0, "word": " ال", "probability": 0.97314453125}, {"start": 204.0, "end": 204.38, "word": " connecting", "probability": 0.87060546875}, {"start": 204.38, "end": 204.8, "word": " rod", "probability": 0.947265625}, {"start": 204.8, "end": 212.24, "word": " في", "probability": 0.4013671875}, {"start": 212.24, "end": 218.14, "word": " هذا", "probability": 0.58447265625}, {"start": 218.14, "end": 218.42, "word": " بشكل", "probability": 0.9606119791666666}, {"start": 218.42, "end": 218.68, "word": " أسئلة", "probability": 0.8397216796875}, {"start": 218.68, "end": 218.8, "word": " لو", "probability": 0.72216796875}, {"start": 218.8, "end": 219.14, "word": " أخدت", "probability": 0.9649658203125}, {"start": 219.14, "end": 219.3, "word": " ال", "probability": 0.89111328125}, {"start": 219.3, "end": 219.68, "word": " piston", "probability": 0.67138671875}, {"start": 219.68, "end": 222.12, "word": " لو", "probability": 0.96875}, {"start": 222.12, "end": 222.46, "word": " أخدت", "probability": 0.9873046875}, {"start": 222.46, "end": 222.58, "word": " ال", "probability": 0.97705078125}, {"start": 222.58, "end": 223.02, "word": " connecting", "probability": 0.92919921875}, {"start": 223.02, "end": 223.4, "word": " rod", "probability": 0.970703125}], "temperature": 1.0}, {"id": 8, "seek": 25598, "start": 227.14, "end": 255.98, "text": "اخدت الـ Connecting Rod لحاله هذا الـ Connecting Rod هكون فيه عنده هذا يسمى FQ هذه FQ هذه زاوية في", "tokens": [47283, 3215, 2655, 2423, 39184, 11653, 278, 11097, 5296, 5016, 6027, 3224, 23758, 2423, 39184, 11653, 278, 11097, 8032, 30544, 8978, 3224, 43242, 3224, 23758, 7251, 38251, 7578, 479, 48, 29538, 479, 48, 29538, 30767, 995, 2407, 10632, 8978], "avg_logprob": -0.4441406339406967, "compression_ratio": 1.3867924528301887, "no_speech_prob": 0.0, "words": [{"start": 227.14, "end": 227.56, "word": "اخدت", "probability": 0.7263997395833334}, {"start": 227.56, "end": 227.7, "word": " الـ", "probability": 0.7529296875}, {"start": 227.7, "end": 228.14, "word": " Connecting", "probability": 0.70751953125}, {"start": 228.14, "end": 228.4, "word": " Rod", "probability": 0.6640625}, {"start": 228.4, "end": 231.44, "word": " لحاله", "probability": 0.7425537109375}, {"start": 231.44, "end": 235.72, "word": " هذا", "probability": 0.31787109375}, {"start": 235.72, "end": 235.84, "word": " الـ", "probability": 0.669189453125}, {"start": 235.84, 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"probability": 0.28955078125}], "temperature": 1.0}, {"id": 9, "seek": 28448, "start": 259.08, "end": 284.48, "text": "طبعا هنا انا .. I assume انه .. I assume انه ال .. I'm neglecting ال weight ل ال connecting rod ال weight of connecting rod is neglected .. neglected تم إهمال وزن ال connecting rod و it is two for swim بربع نطوية هيكون في عندي كمان هنا FQ جاي من ال crank", "tokens": [9566, 3555, 3615, 995, 34105, 1975, 8315, 4386, 286, 6552, 16472, 3224, 4386, 286, 6552, 16472, 3224, 2423, 4386, 286, 478, 17745, 278, 2423, 3364, 5296, 2423, 11015, 8685, 2423, 3364, 295, 11015, 8685, 307, 32701, 4386, 32701, 46811, 11933, 16095, 6027, 4032, 11622, 1863, 2423, 11015, 8685, 4032, 309, 307, 732, 337, 7110, 4724, 25513, 3615, 8717, 9566, 2407, 10632, 8032, 1829, 30544, 8978, 18871, 16254, 9122, 2304, 7649, 34105, 479, 48, 10874, 47302, 9154, 2423, 21263], "avg_logprob": -0.3087420991704434, "compression_ratio": 1.706806282722513, "no_speech_prob": 0.0, "words": [{"start": 259.08, "end": 259.38, "word": "طبعا", "probability": 0.9019775390625}, {"start": 259.38, "end": 259.56, "word": " هنا", "probability": 0.7802734375}, {"start": 259.56, "end": 259.88, 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force acting on the piston along the line of stroke ال piston effort هو ال net force acting on the piston along the line of stroke يعني في هذا الاتجاه مصدرها جاي من ال pressure في عند ال pressure", "tokens": [6027, 30002, 4630, 31439, 2423, 2533, 3464, 6577, 322, 264, 30002, 2051, 264, 1622, 295, 12403, 2423, 30002, 4630, 31439, 2423, 2533, 3464, 6577, 322, 264, 30002, 2051, 264, 1622, 295, 12403, 37495, 22653, 8978, 23758, 2423, 9307, 7435, 40294, 3714, 9381, 3215, 2288, 11296, 10874, 47302, 9154, 2423, 3321, 8978, 43242, 2423, 3321], "avg_logprob": -0.15255682143298063, "compression_ratio": 1.9014084507042253, "no_speech_prob": 0.0, "words": [{"start": 318.99, "end": 319.27, "word": "ال", "probability": 0.92138671875}, {"start": 319.27, "end": 319.57, "word": " piston", "probability": 0.362548828125}, {"start": 319.57, "end": 320.01, "word": " effort", "probability": 0.85009765625}, {"start": 320.01, "end": 320.35, "word": " هو", "probability": 0.98681640625}, {"start": 320.35, 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..", "probability": 0.84716796875}, {"start": 354.39, "end": 354.65, "word": " ال", "probability": 0.95361328125}, {"start": 354.65, "end": 355.13, "word": " FP", "probability": 0.309814453125}, {"start": 355.13, "end": 356.31, "word": " طبعا", "probability": 0.995849609375}, {"start": 356.31, "end": 356.75, "word": " هيقامه", "probability": 0.9630126953125}, {"start": 356.75, "end": 357.13, "word": " friction", "probability": 0.994140625}, {"start": 357.13, "end": 357.31, "word": " و", "probability": 0.99169921875}, {"start": 357.31, "end": 357.61, "word": " inertia", "probability": 0.9912109375}, {"start": 357.61, "end": 358.13, "word": " forces", "probability": 0.93896484375}, {"start": 358.13, "end": 358.73, "word": " هيقامه", "probability": 0.8411865234375}, {"start": 358.73, "end": 359.17, "word": " friction", "probability": 0.994140625}, {"start": 359.17, "end": 359.81, "word": " و", "probability": 0.99755859375}, {"start": 359.81, "end": 360.15, "word": " inertia", 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397.49, "text": "اللي هي مثلا هحكي mr في ال a بتاعة ال piston او كنت احكي بالشكل هذا هي عندي ال piston علي fn في كمان friction resistance", "tokens": [6027, 20292, 39896, 50113, 15040, 8032, 5016, 4117, 1829, 33660, 8978, 2423, 257, 39894, 995, 27884, 2423, 30002, 1975, 2407, 9122, 29399, 1975, 5016, 4117, 1829, 20666, 8592, 28820, 23758, 39896, 18871, 16254, 2423, 30002, 25894, 283, 77, 8978, 9122, 2304, 7649, 17710, 7335], "avg_logprob": -0.29340278572506373, "compression_ratio": 1.3953488372093024, "no_speech_prob": 0.0, "words": [{"start": 371.87, "end": 372.17, "word": "اللي", "probability": 0.806640625}, {"start": 372.17, "end": 372.51, "word": " هي", "probability": 0.7880859375}, {"start": 372.51, "end": 373.19, "word": " مثلا", "probability": 0.966796875}, {"start": 373.19, "end": 373.65, "word": " هحكي", "probability": 0.9498291015625}, {"start": 373.65, "end": 374.45, "word": " mr", "probability": 0.40673828125}, {"start": 374.45, "end": 377.37, "word": " في", "probability": 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الاتجاه هذا horizontal vertical ال piston بتتحرك بهذا الاتجاه", "tokens": [41185, 11331, 1829, 9307, 1829, 2423, 2848, 25961, 5551, 5172, 4587, 37495, 22653, 2423, 30002, 39894, 2655, 5016, 31747, 39627, 15730, 2423, 9307, 7435, 40294, 23758, 12750, 9429, 2423, 30002, 39894, 2655, 5016, 31747, 39627, 15730, 2423, 9307, 7435, 40294], "avg_logprob": -0.3003048896789551, "compression_ratio": 1.5217391304347827, "no_speech_prob": 0.0, "words": [{"start": 712.71, "end": 712.97, "word": "في", "probability": 0.3740234375}, {"start": 712.97, "end": 713.33, "word": " حياتي", "probability": 0.9429931640625}, {"start": 713.33, "end": 713.39, "word": " ال", "probability": 0.88330078125}, {"start": 713.39, "end": 713.63, "word": " engine", "probability": 0.66064453125}, {"start": 713.63, "end": 714.03, "word": " كان", "probability": 0.98779296875}, {"start": 714.03, "end": 714.43, "word": " أفق", "probability": 0.634033203125}, {"start": 714.43, "end": 714.73, "word": " يعني", "probability": 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"probability": 0.98828125}, {"start": 846.85, "end": 847.39, "word": " مواجه", "probability": 0.9462890625}, {"start": 847.39, "end": 847.91, "word": " مباشرة", "probability": 0.861572265625}, {"start": 847.91, "end": 848.13, "word": " لل", "probability": 0.751953125}, {"start": 848.13, "end": 848.51, "word": " piston", "probability": 0.349609375}, {"start": 848.51, "end": 849.57, "word": " ال", "probability": 0.6953125}, {"start": 849.57, "end": 850.05, "word": " P2", "probability": 0.994873046875}, {"start": 850.05, "end": 850.31, "word": " هو", "probability": 0.974609375}, {"start": 850.31, "end": 850.49, "word": " ال", "probability": 0.92236328125}, {"start": 850.49, "end": 850.75, "word": " pressure", "probability": 0.99365234375}, {"start": 850.75, "end": 851.43, "word": " عكس", "probability": 0.9912109375}, {"start": 851.43, "end": 851.81, "word": " ال", "probability": 0.8525390625}, {"start": 851.81, "end": 852.19, "word": " piston", "probability": 0.931640625}, {"start": 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"temperature": 1.0}, {"id": 54, "seek": 150529, "start": 1483.45, "end": 1505.29, "text": "الـ Force مركبة الـ FQ باتجاه الـ Crank هيبقى عن FP على كسان 5 كسان تاته زائد 5 معناته هدول معدلات معناته", "tokens": [6027, 39184, 10580, 3714, 31747, 49401, 2423, 39184, 479, 48, 4724, 9307, 7435, 40294, 2423, 39184, 4779, 657, 39896, 3555, 4587, 7578, 18871, 36655, 15844, 9122, 3794, 7649, 1025, 9122, 3794, 7649, 6055, 9307, 3224, 30767, 16373, 3215, 1025, 20449, 8315, 47395, 8032, 3215, 12610, 20449, 3215, 1211, 9307, 20449, 8315, 47395], "avg_logprob": -0.38531838947871944, "compression_ratio": 1.384, "no_speech_prob": 0.0, "words": [{"start": 1483.45, "end": 1483.79, "word": "الـ", "probability": 0.608154296875}, {"start": 1483.79, "end": 1484.37, "word": " Force", "probability": 0.3623046875}, {"start": 1484.37, "end": 1485.75, "word": " مركبة", "probability": 0.84326171875}, {"start": 1485.75, "end": 1486.05, "word": " الـ", "probability": 0.80712890625}, {"start": 1486.05, "end": 1486.51, "word": " FQ", "probability": 0.689697265625}, {"start": 1486.51, "end": 1487.01, "word": " باتجاه", "probability": 0.843505859375}, {"start": 1487.01, "end": 1487.33, "word": " الـ", "probability": 0.784423828125}, {"start": 1487.33, "end": 1487.61, "word": " Crank", "probability": 0.630615234375}, {"start": 1487.61, "end": 1487.85, "word": " هيبقى", "probability": 0.6812744140625}, {"start": 1487.85, "end": 1487.97, "word": " عن", "probability": 0.4443359375}, {"start": 1487.97, "end": 1488.45, "word": " FP", "probability": 0.50244140625}, {"start": 1488.45, "end": 1489.27, "word": " على", "probability": 0.71240234375}, {"start": 1489.27, "end": 1489.65, "word": " كسان", "probability": 0.562255859375}, {"start": 1489.65, "end": 1489.91, "word": " 5", "probability": 0.30908203125}, {"start": 1489.91, "end": 1490.37, "word": " كسان", "probability": 0.7386067708333334}, {"start": 1490.37, "end": 1490.75, "word": " تاته", "probability": 0.3649088541666667}, {"start": 1490.75, "end": 1491.19, "word": " زائد", "probability": 0.8671875}, {"start": 1491.19, "end": 1491.67, "word": " 5", "probability": 0.82421875}, {"start": 1491.67, "end": 1498.19, "word": " معناته", "probability": 0.79736328125}, {"start": 1498.19, "end": 1498.49, "word": " هدول", "probability": 0.8170572916666666}, {"start": 1498.49, "end": 1499.35, "word": " معدلات", "probability": 0.8660888671875}, {"start": 1499.35, "end": 1505.29, "word": " معناته", "probability": 0.9431966145833334}], "temperature": 1.0}, {"id": 55, "seek": 153886, "start": 1511.76, "end": 1538.86, "text": "ال piston effort ال piston باختصار ال piston effort ال effort عند ال piston اللي هي ال net force along ال line و ال stroke انها جعل ال load و ال inertia force و ال friction بتحول ل torque العزم", "tokens": [6027, 30002, 4630, 2423, 30002, 4724, 47283, 2655, 9381, 9640, 2423, 30002, 4630, 2423, 4630, 43242, 2423, 30002, 13672, 1829, 39896, 2423, 2533, 3464, 2051, 2423, 1622, 4032, 2423, 12403, 16472, 11296, 10874, 30241, 2423, 3677, 4032, 2423, 37234, 3464, 4032, 2423, 17710, 39894, 5016, 12610, 5296, 16437, 18863, 11622, 2304], "avg_logprob": -0.18374399267710173, "compression_ratio": 1.68, "no_speech_prob": 0.0, "words": [{"start": 1511.76, "end": 1512.06, "word": "ال", "probability": 0.91455078125}, {"start": 1512.06, "end": 1512.42, "word": " piston", "probability": 0.332763671875}, {"start": 1512.42, "end": 1513.56, "word": " effort", "probability": 0.84326171875}, {"start": 1513.56, "end": 1514.24, "word": " ال", "probability": 0.5634765625}, {"start": 1514.24, "end": 1514.5, "word": " piston", "probability": 0.85986328125}, {"start": 1514.5, "end": 1515.3, "word": " باختصار", "probability": 0.9041015625}, {"start": 1515.3, "end": 1516.82, "word": " ال", "probability": 0.86328125}, {"start": 1516.82, "end": 1517.2, "word": " piston", "probability": 0.81787109375}, {"start": 1517.2, "end": 1517.72, "word": " effort", "probability": 0.95361328125}, {"start": 1517.72, "end": 1519.78, "word": " ال", "probability": 0.87841796875}, {"start": 1519.78, "end": 1520.06, "word": " effort", "probability": 0.9345703125}, {"start": 1520.06, "end": 1520.24, "word": " عند", "probability": 0.958984375}, {"start": 1520.24, "end": 1520.36, "word": " ال", "probability": 0.92529296875}, {"start": 1520.36, "end": 1520.68, "word": " piston", "probability": 0.90478515625}, {"start": 1520.68, "end": 1520.86, "word": " اللي", "probability": 0.862060546875}, {"start": 1520.86, "end": 1521.08, "word": " هي", "probability": 0.8232421875}, {"start": 1521.08, "end": 1521.3, "word": " ال", "probability": 0.8486328125}, {"start": 1521.3, "end": 1521.54, "word": " net", "probability": 0.91748046875}, {"start": 1521.54, "end": 1522.44, "word": " force", "probability": 0.96923828125}, {"start": 1522.44, "end": 1523.78, "word": " along", "probability": 0.89697265625}, {"start": 1523.78, "end": 1524.04, "word": " ال", "probability": 0.5625}, {"start": 1524.04, "end": 1524.3, "word": " line", "probability": 0.96728515625}, {"start": 1524.3, "end": 1524.52, "word": " و", "probability": 0.591796875}, {"start": 1524.52, "end": 1524.54, "word": " ال", "probability": 0.8251953125}, {"start": 1524.54, "end": 1524.98, "word": " stroke", "probability": 0.96435546875}, {"start": 1524.98, "end": 1526.18, "word": " انها", "probability": 0.607421875}, {"start": 1526.18, "end": 1526.5, "word": " جعل", "probability": 0.963134765625}, {"start": 1526.5, "end": 1527.06, "word": " ال", "probability": 0.966796875}, {"start": 1527.06, "end": 1527.48, "word": " load", "probability": 0.97900390625}, {"start": 1527.48, "end": 1528.96, "word": " و", "probability": 0.61474609375}, {"start": 1528.96, "end": 1529.04, "word": " ال", "probability": 0.974609375}, {"start": 1529.04, "end": 1529.4, "word": " inertia", "probability": 0.9775390625}, {"start": 1529.4, "end": 1530.06, "word": " force", "probability": 0.951171875}, {"start": 1530.06, "end": 1531.42, "word": " و", "probability": 0.9541015625}, {"start": 1531.42, "end": 1531.8, "word": " ال", "probability": 0.67041015625}, {"start": 1531.8, "end": 1533.08, "word": " friction", "probability": 0.9716796875}, {"start": 1533.08, "end": 1534.98, "word": " بتحول", "probability": 0.9415690104166666}, {"start": 1534.98, "end": 1536.6, "word": " ل", "probability": 0.95361328125}, {"start": 1536.6, "end": 1537.28, "word": " torque", "probability": 0.728515625}, {"start": 1537.28, "end": 1538.86, "word": " العزم", "probability": 0.794189453125}], "temperature": 1.0}, {"id": 56, "seek": 156747, "start": 1539.79, "end": 1567.47, "text": "ع الكرانك اللي هي قيمته ال torque FPR في sin theta زي sin theta على اتنين N زائد force في اتجاه الكرانك اللي هي FB عبارة عن FQ cosine theta زائد في و FQ FB على cosine phi cosine theta زائد في نشوف مثلًا نحل أمثلة", "tokens": [3615, 33251, 2288, 7649, 4117, 13672, 1829, 39896, 12174, 32640, 47395, 2423, 16437, 479, 15958, 8978, 3343, 9725, 30767, 1829, 3343, 9725, 15844, 1975, 2655, 1863, 9957, 426, 30767, 16373, 3215, 3464, 8978, 1975, 2655, 7435, 40294, 33251, 2288, 7649, 4117, 13672, 1829, 39896, 479, 33, 6225, 3555, 9640, 3660, 18871, 479, 48, 23565, 9725, 30767, 16373, 3215, 8978, 4032, 479, 48, 479, 33, 15844, 23565, 13107, 23565, 9725, 30767, 16373, 3215, 8978, 8717, 8592, 38688, 50113, 1211, 14111, 995, 8717, 5016, 1211, 5551, 2304, 12984, 37977], "avg_logprob": -0.33647016097198834, "compression_ratio": 1.707182320441989, "no_speech_prob": 0.0, "words": [{"start": 1539.79, "end": 1540.07, "word": "ع", "probability": 0.87939453125}, {"start": 1540.07, "end": 1540.65, "word": " الكرانك", "probability": 0.655975341796875}, {"start": 1540.65, "end": 1540.77, "word": " اللي", "probability": 0.50537109375}, {"start": 1540.77, "end": 1540.89, "word": " هي", "probability": 0.736328125}, {"start": 1540.89, "end": 1541.41, "word": " قيمته", "probability": 0.9856770833333334}, {"start": 1541.41, "end": 1541.65, "word": " ال", "probability": 0.35009765625}, {"start": 1541.65, "end": 1542.25, "word": " torque", "probability": 0.212158203125}, {"start": 1542.25, "end": 1543.05, "word": " FPR", "probability": 0.5172119140625}, {"start": 1543.05, "end": 1543.27, "word": " في", "probability": 0.46142578125}, {"start": 1543.27, "end": 1543.57, "word": " sin", "probability": 0.3759765625}, {"start": 1543.57, "end": 1543.99, "word": " theta", "probability": 0.166259765625}, {"start": 1543.99, "end": 1544.19, "word": " زي", "probability": 0.636474609375}, {"start": 1544.19, "end": 1544.41, "word": " sin", "probability": 0.7451171875}, {"start": 1544.41, "end": 1544.59, "word": " theta", "probability": 0.64013671875}, {"start": 1544.59, "end": 1544.81, "word": " على", "probability": 0.455078125}, {"start": 1544.81, "end": 1545.25, "word": " اتنين", "probability": 0.80126953125}, {"start": 1545.25, "end": 1545.57, "word": " N", "probability": 0.484619140625}, {"start": 1545.57, "end": 1546.75, "word": " زائد", "probability": 0.76513671875}, {"start": 1546.75, "end": 1547.99, "word": " force", "probability": 0.86572265625}, {"start": 1547.99, "end": 1548.39, "word": " في", "probability": 0.8212890625}, {"start": 1548.39, "end": 1548.93, "word": " اتجاه", "probability": 0.9765625}, {"start": 1548.93, "end": 1551.01, "word": " الكرانك", "probability": 0.9400634765625}, {"start": 1551.01, "end": 1551.15, "word": " اللي", "probability": 0.880615234375}, {"start": 1551.15, "end": 1551.29, "word": " هي", "probability": 0.9326171875}, {"start": 1551.29, "end": 1551.93, "word": " FB", "probability": 0.848876953125}, {"start": 1551.93, "end": 1553.31, "word": " عبارة", "probability": 0.9830322265625}, {"start": 1553.31, "end": 1553.61, "word": " عن", "probability": 0.712890625}, {"start": 1553.61, "end": 1554.23, "word": " FQ", "probability": 0.8232421875}, {"start": 1554.23, "end": 1554.59, "word": " cosine", "probability": 0.302490234375}, {"start": 1554.59, "end": 1555.29, "word": " theta", "probability": 0.7216796875}, {"start": 1555.29, "end": 1555.61, "word": " زائد", "probability": 0.8553059895833334}, {"start": 1555.61, "end": 1555.89, "word": " في", "probability": 0.359375}, {"start": 1555.89, "end": 1556.05, "word": " و", "probability": 0.76318359375}, {"start": 1556.05, "end": 1556.49, "word": " FQ", "probability": 0.82763671875}, {"start": 1556.49, "end": 1556.83, "word": " FB", "probability": 0.708984375}, {"start": 1556.83, "end": 1557.01, "word": " على", "probability": 0.7177734375}, {"start": 1557.01, "end": 1557.35, "word": " cosine", "probability": 0.77587890625}, {"start": 1557.35, "end": 1557.61, "word": " phi", "probability": 0.303955078125}, {"start": 1557.61, "end": 1557.87, "word": " cosine", "probability": 0.86865234375}, {"start": 1557.87, "end": 1558.21, "word": " theta", "probability": 0.86767578125}, {"start": 1558.21, "end": 1558.55, "word": " زائد", "probability": 0.95654296875}, {"start": 1558.55, "end": 1558.83, "word": " في", "probability": 0.654296875}, {"start": 1558.83, "end": 1566.15, "word": " نشوف", "probability": 0.8270670572916666}, {"start": 1566.15, "end": 1566.63, "word": " مثلًا", "probability": 0.73248291015625}, {"start": 1566.63, "end": 1566.93, "word": " نحل", "probability": 0.8819986979166666}, {"start": 1566.93, "end": 1567.47, "word": " أمثلة", "probability": 0.8829345703125}], "temperature": 1.0}, {"id": 57, "seek": 160713, "start": 1582.77, "end": 1607.13, "text": "Find the inertia force for the following data of an internal combustion engine او الانيرشافورس دا البيانات التانية للمحرك احتراك داخلي معطيني ال bore بتاعة ال piston مية و سبعين ملي متر و ال stroke متين ملي متر و ال engine speed خمسمية rpm و ال length of connecting rod اربعمية ملي", "tokens": [37, 471, 264, 37234, 3464, 337, 264, 3480, 1412, 295, 364, 6920, 28121, 2848, 1975, 2407, 2423, 7649, 13546, 8592, 31845, 13063, 3794, 11778, 995, 2423, 21292, 7649, 9307, 16712, 7649, 10632, 5296, 19528, 5016, 31747, 1975, 33753, 23557, 4117, 11778, 47283, 20292, 20449, 9566, 9957, 1829, 2423, 26002, 39894, 995, 27884, 2423, 30002, 3714, 10632, 4032, 8608, 3555, 3615, 9957, 3714, 20292, 44650, 2288, 4032, 2423, 12403, 44650, 9957, 3714, 20292, 44650, 2288, 4032, 2423, 2848, 3073, 16490, 2304, 38251, 10632, 47071, 4032, 2423, 4641, 295, 11015, 8685, 1975, 25513, 25957, 10632, 3714, 20292], "avg_logprob": -0.2998046763241291, "compression_ratio": 1.6694915254237288, "no_speech_prob": 0.0, "words": [{"start": 1582.77, "end": 1583.27, "word": "Find", "probability": 0.7705078125}, {"start": 1583.27, "end": 1583.47, "word": " the", "probability": 0.74267578125}, {"start": 1583.47, "end": 1583.79, "word": " inertia", "probability": 0.8974609375}, {"start": 1583.79, "end": 1584.31, "word": " force", "probability": 0.9560546875}, {"start": 1584.31, "end": 1584.61, "word": " for", "probability": 0.8115234375}, {"start": 1584.61, "end": 1584.81, "word": " the", "probability": 0.9013671875}, {"start": 1584.81, "end": 1585.23, "word": " following", "probability": 0.85498046875}, {"start": 1585.23, "end": 1585.79, "word": " data", "probability": 0.953125}, {"start": 1585.79, "end": 1586.25, "word": " of", "probability": 0.93212890625}, {"start": 1586.25, "end": 1586.65, "word": " an", "probability": 0.853515625}, {"start": 1586.65, "end": 1587.13, "word": " internal", "probability": 0.9580078125}, {"start": 1587.13, "end": 1587.67, "word": " combustion", "probability": 0.87890625}, {"start": 1587.67, "end": 1588.15, "word": " engine", "probability": 0.95361328125}, {"start": 1588.15, "end": 1588.47, "word": " او", "probability": 0.511932373046875}, {"start": 1588.47, "end": 1589.47, "word": " الانيرشافورس", "probability": 0.6634172712053571}, {"start": 1589.47, "end": 1589.67, "word": " دا", "probability": 0.405517578125}, {"start": 1589.67, "end": 1590.17, "word": " البيانات", "probability": 0.875}, {"start": 1590.17, "end": 1590.51, "word": " التانية", "probability": 0.9401041666666666}, {"start": 1590.51, "end": 1591.29, "word": " للمحرك", "probability": 0.7725830078125}, {"start": 1591.29, "end": 1591.89, "word": " احتراك", "probability": 0.8017578125}, {"start": 1591.89, "end": 1592.35, "word": " داخلي", "probability": 0.7657063802083334}, {"start": 1592.35, "end": 1593.35, "word": " معطيني", "probability": 0.66278076171875}, {"start": 1593.35, "end": 1593.47, "word": " ال", "probability": 0.8515625}, {"start": 1593.47, "end": 1593.77, "word": " bore", "probability": 0.488525390625}, {"start": 1593.77, "end": 1594.11, "word": " بتاعة", "probability": 0.8465169270833334}, {"start": 1594.11, "end": 1594.29, "word": " ال", "probability": 0.66259765625}, {"start": 1594.29, "end": 1594.59, "word": " piston", "probability": 0.365966796875}, {"start": 1594.59, "end": 1595.81, "word": " مية", "probability": 0.578125}, {"start": 1595.81, "end": 1595.91, "word": " و", "probability": 0.96337890625}, {"start": 1595.91, "end": 1596.41, "word": " سبعين", "probability": 0.88330078125}, {"start": 1596.41, "end": 1596.73, "word": " ملي", "probability": 0.6854248046875}, {"start": 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0.470703125}, {"start": 2631.0, "end": 2631.5, "word": " square", "probability": 0.74853515625}, {"start": 2631.5, "end": 2632.04, "word": " pressure", "probability": 0.9111328125}, {"start": 2632.04, "end": 2633.38, "word": " on", "probability": 0.51513671875}, {"start": 2633.38, "end": 2633.96, "word": " piston", "probability": 0.87109375}, {"start": 2633.96, "end": 2634.84, "word": " كان", "probability": 0.90771484375}, {"start": 2634.84, "end": 2635.38, "word": " ده", "probability": 0.88037109375}, {"start": 2635.38, "end": 2635.64, "word": " ال", "probability": 0.73291015625}, {"start": 2635.64, "end": 2635.96, "word": " pressure", "probability": 0.990234375}, {"start": 2635.96, "end": 2636.14, "word": " على", "probability": 0.423828125}, {"start": 2636.14, "end": 2636.2, "word": " ال", "probability": 0.8916015625}, {"start": 2636.2, "end": 2636.54, "word": " piston", "probability": 0.88623046875}], "temperature": 1.0}, {"id": 93, "seek": 267131, "start": 2642.29, "end": 2671.31, "text": "البشر P بالسبب هو سبعة أميجا باسكالة When it has moved ten millimeters from inner dead center يعني اتحرك من مسافة عشرة مليمتر يعني X بالساوية عشرة مليمتر Determine net load on Gadjon", "tokens": [6027, 3555, 46309, 430, 20666, 35457, 3555, 31439, 8608, 3555, 27884, 5551, 2304, 1829, 7435, 995, 4724, 32277, 4117, 6027, 3660, 1133, 309, 575, 4259, 2064, 24388, 490, 7284, 3116, 3056, 37495, 22653, 1975, 2655, 5016, 31747, 9154, 47524, 31845, 3660, 6225, 8592, 25720, 3714, 20292, 2304, 2655, 2288, 37495, 22653, 1783, 20666, 3794, 995, 2407, 10632, 6225, 8592, 25720, 3714, 20292, 2304, 2655, 2288, 4237, 966, 533, 2533, 3677, 322, 37171, 15735], "avg_logprob": -0.3426942430637978, "compression_ratio": 1.430939226519337, "no_speech_prob": 0.0, "words": [{"start": 2642.29, "end": 2643.01, "word": "البشر", "probability": 0.6663411458333334}, {"start": 2643.01, "end": 2643.55, "word": " P", "probability": 0.572265625}, {"start": 2643.55, "end": 2645.97, "word": " بالسبب", "probability": 0.4910481770833333}, {"start": 2645.97, "end": 2646.15, "word": " هو", "probability": 0.25927734375}, {"start": 2646.15, "end": 2647.53, "word": " سبعة", "probability": 0.6263834635416666}, {"start": 2647.53, "end": 2648.27, "word": " أميجا", "probability": 0.7810546875}, {"start": 2648.27, "end": 2650.85, "word": " باسكالة", "probability": 0.7593994140625}, {"start": 2650.85, "end": 2653.51, "word": " When", "probability": 0.2403564453125}, {"start": 2653.51, "end": 2653.73, "word": " it", "probability": 0.97314453125}, {"start": 2653.73, "end": 2654.05, "word": " has", "probability": 0.9150390625}, {"start": 2654.05, "end": 2654.61, "word": " moved", "probability": 0.83203125}, {"start": 2654.61, "end": 2655.17, "word": " ten", "probability": 0.62060546875}, {"start": 2655.17, "end": 2655.73, "word": " millimeters", "probability": 0.607421875}, {"start": 2655.73, "end": 2656.39, "word": " from", "probability": 0.91357421875}, {"start": 2656.39, "end": 2656.75, "word": " inner", "probability": 0.77783203125}, {"start": 2656.75, "end": 2656.91, "word": " dead", "probability": 0.87060546875}, {"start": 2656.91, "end": 2657.25, "word": " center", "probability": 0.85888671875}, {"start": 2657.25, "end": 2657.41, "word": " يعني", "probability": 0.662353515625}, {"start": 2657.41, "end": 2657.79, "word": " اتحرك", "probability": 0.8941650390625}, {"start": 2657.79, "end": 2657.91, "word": " من", "probability": 0.76513671875}, {"start": 2657.91, "end": 2658.73, "word": " مسافة", "probability": 0.7086995442708334}, {"start": 2658.73, "end": 2658.97, "word": " عشرة", "probability": 0.8001302083333334}, {"start": 2658.97, "end": 2659.27, "word": " مليمتر", "probability": 0.803515625}, {"start": 2659.27, "end": 2659.47, "word": " يعني", "probability": 0.6961669921875}, {"start": 2659.47, "end": 2659.77, "word": " X", "probability": 0.7822265625}, {"start": 2659.77, "end": 2661.35, "word": " بالساوية", "probability": 0.8638671875}, {"start": 2661.35, "end": 2663.31, "word": " عشرة", "probability": 0.92138671875}, {"start": 2663.31, "end": 2664.71, "word": " مليمتر", "probability": 0.946875}, {"start": 2664.71, "end": 2668.89, "word": " Determine", "probability": 0.78125}, {"start": 2668.89, "end": 2669.69, "word": " net", "probability": 0.87548828125}, {"start": 2669.69, "end": 2670.31, "word": " load", "probability": 0.9541015625}, {"start": 2670.31, "end": 2670.79, "word": " on", "probability": 0.91357421875}, {"start": 2670.79, "end": 2671.31, "word": " Gadjon", "probability": 0.34423828125}], "temperature": 1.0}, {"id": 94, "seek": 268852, "start": 2673.14, "end": 2688.52, "text": "Pin بدك تحسر يعني بدك تحسر ال piston effort بدك تحسر ال piston effort هذا المطلوب الأول", "tokens": [47, 259, 47525, 4117, 6055, 5016, 3794, 2288, 37495, 22653, 47525, 4117, 6055, 5016, 3794, 2288, 2423, 30002, 4630, 47525, 4117, 6055, 5016, 3794, 2288, 2423, 30002, 4630, 23758, 9673, 9566, 1211, 37746, 16247, 12610], "avg_logprob": -0.2595486119389534, "compression_ratio": 1.5057471264367817, "no_speech_prob": 0.0, "words": [{"start": 2673.14, "end": 2673.94, "word": "Pin", "probability": 0.497314453125}, {"start": 2673.94, "end": 2674.66, "word": " بدك", "probability": 0.36480712890625}, {"start": 2674.66, "end": 2675.04, "word": " تحسر", "probability": 0.75262451171875}, {"start": 2675.04, "end": 2675.24, "word": " يعني", "probability": 0.84375}, {"start": 2675.24, "end": 2676.34, "word": " بدك", "probability": 0.6470947265625}, {"start": 2676.34, "end": 2676.72, "word": " تحسر", "probability": 0.992431640625}, {"start": 2676.72, "end": 2676.88, "word": " ال", "probability": 0.62451171875}, {"start": 2676.88, "end": 2677.3, "word": " piston", "probability": 0.77783203125}, {"start": 2677.3, "end": 2678.84, "word": " effort", "probability": 0.8837890625}, {"start": 2678.84, "end": 2680.36, "word": " بدك", "probability": 0.78369140625}, {"start": 2680.36, "end": 2680.68, "word": " تحسر", "probability": 0.985107421875}, {"start": 2680.68, "end": 2680.78, "word": " ال", "probability": 0.55810546875}, {"start": 2680.78, "end": 2681.18, "word": " piston", "probability": 0.9287109375}, {"start": 2681.18, "end": 2683.72, "word": " effort", "probability": 0.9638671875}, {"start": 2683.72, "end": 2687.82, "word": " هذا", "probability": 0.802734375}, {"start": 2687.82, "end": 2688.22, "word": " المطلوب", "probability": 0.9527587890625}, {"start": 2688.22, "end": 2688.52, "word": " الأول", "probability": 0.978271484375}], "temperature": 1.0}, {"id": 95, "seek": 272356, "start": 2694.5, "end": 2723.56, "text": "حكينا ال piston effort هو ال net load ال piston effort ال F P بيستوى F L minus او زاد ال inertia force minus ال friction force let us assume ان ال R F تقريبا is neglected، zero معناته هتصير هذه F L minus or plus ال inertia force", "tokens": [5016, 4117, 1829, 8315, 2423, 30002, 4630, 31439, 2423, 2533, 3677, 2423, 30002, 4630, 2423, 479, 430, 4724, 1829, 14851, 2407, 7578, 479, 441, 3175, 1975, 2407, 30767, 18513, 2423, 37234, 3464, 3175, 2423, 17710, 3464, 718, 505, 6552, 16472, 2423, 497, 479, 6055, 4587, 16572, 3555, 995, 307, 32701, 12399, 4018, 20449, 8315, 47395, 8032, 2655, 9381, 13546, 29538, 479, 441, 3175, 420, 1804, 2423, 37234, 3464], "avg_logprob": -0.32472826950791955, "compression_ratio": 1.507936507936508, "no_speech_prob": 0.0, "words": [{"start": 2694.5, "end": 2694.94, "word": "حكينا", "probability": 0.8031005859375}, {"start": 2694.94, "end": 2695.06, "word": " ال", "probability": 0.75927734375}, {"start": 2695.06, "end": 2695.32, "word": " piston", "probability": 0.2484130859375}, {"start": 2695.32, "end": 2695.8, "word": " effort", "probability": 0.8681640625}, {"start": 2695.8, "end": 2696.24, "word": " هو", "probability": 0.96044921875}, {"start": 2696.24, "end": 2696.48, "word": " ال", "probability": 0.61181640625}, {"start": 2696.48, "end": 2696.62, "word": " net", "probability": 0.3916015625}, {"start": 2696.62, "end": 2696.92, "word": " load", "probability": 0.96484375}, {"start": 2696.92, "end": 2697.12, "word": " ال", "probability": 0.45703125}, {"start": 2697.12, "end": 2697.3, "word": " piston", "probability": 0.404296875}, {"start": 2697.3, "end": 2697.8, "word": " effort", "probability": 0.8740234375}, {"start": 2697.8, "end": 2698.46, "word": " ال", "probability": 0.556640625}, {"start": 2698.46, "end": 2698.76, "word": " F", "probability": 0.46044921875}, {"start": 2698.76, "end": 2700.3, "word": " P", "probability": 0.51171875}, {"start": 2700.3, "end": 2701.52, "word": " بيستوى", "probability": 0.590869140625}, {"start": 2701.52, "end": 2701.8, "word": " F", "probability": 0.442626953125}, {"start": 2701.8, "end": 2702.3, "word": " L", "probability": 0.68701171875}, {"start": 2702.3, "end": 2703.58, "word": " minus", "probability": 0.45947265625}, {"start": 2703.58, "end": 2703.88, "word": " او", "probability": 0.776123046875}, {"start": 2703.88, "end": 2704.36, "word": " زاد", "probability": 0.915283203125}, {"start": 2704.36, "end": 2705.1, "word": " ال", "probability": 0.9775390625}, {"start": 2705.1, "end": 2705.5, "word": " inertia", "probability": 0.978515625}, {"start": 2705.5, "end": 2706.26, "word": " force", "probability": 0.9794921875}, {"start": 2706.26, "end": 2707.2, "word": " minus", "probability": 0.85302734375}, {"start": 2707.2, "end": 2707.66, "word": " ال", "probability": 0.6484375}, {"start": 2707.66, "end": 2708.02, "word": " friction", "probability": 0.9970703125}, {"start": 2708.02, "end": 2709.32, "word": " force", "probability": 0.97802734375}, {"start": 2709.32, "end": 2710.46, "word": " let", "probability": 0.402099609375}, {"start": 2710.46, "end": 2710.72, "word": " us", "probability": 0.84912109375}, {"start": 2710.72, "end": 2711.14, "word": " assume", "probability": 0.89501953125}, {"start": 2711.14, "end": 2711.32, "word": " ان", "probability": 0.80029296875}, {"start": 2711.32, "end": 2711.46, "word": " ال", "probability": 0.8876953125}, {"start": 2711.46, "end": 2711.68, "word": " R", "probability": 0.467529296875}, {"start": 2711.68, "end": 2712.1, "word": " F", "probability": 0.80615234375}, {"start": 2712.1, "end": 2714.42, "word": " تقريبا", "probability": 0.9908203125}, {"start": 2714.42, "end": 2714.66, "word": " is", "probability": 0.69189453125}, {"start": 2714.66, "end": 2715.26, "word": " neglected،", "probability": 0.53765869140625}, {"start": 2715.26, "end": 2715.5, "word": " zero", "probability": 0.4501953125}, {"start": 2715.5, "end": 2716.98, "word": " معناته", "probability": 0.8181966145833334}, {"start": 2716.98, "end": 2717.62, "word": " هتصير", "probability": 0.9033203125}, {"start": 2717.62, "end": 2718.08, "word": " هذه", "probability": 0.456787109375}, {"start": 2718.08, "end": 2719.52, "word": " F", "probability": 0.6123046875}, {"start": 2719.52, "end": 2719.88, "word": " L", "probability": 0.9541015625}, {"start": 2719.88, "end": 2720.86, "word": " minus", "probability": 0.9814453125}, {"start": 2720.86, "end": 2721.24, "word": " or", "probability": 0.61865234375}, {"start": 2721.24, "end": 2721.66, "word": " plus", "probability": 0.96435546875}, {"start": 2721.66, "end": 2722.14, "word": " ال", "probability": 0.958984375}, {"start": 2722.14, "end": 2722.58, "word": " inertia", "probability": 0.9921875}, {"start": 2722.58, "end": 2723.56, "word": " force", "probability": 0.98583984375}], "temperature": 1.0}, {"id": 96, "seek": 275460, "start": 2729.22, "end": 2754.6, "text": "طيب ال fl هتكون سواء مساحة مقطع ال piston باي على أربع دي square في ال pressure يعني هتكون ان ال باي على أربع في دي القطر التمانين millimeter في تمانين تربية في bond سبعة", "tokens": [9566, 1829, 3555, 2423, 932, 8032, 2655, 30544, 8608, 2407, 16606, 47524, 39319, 3660, 3714, 47432, 3615, 2423, 30002, 4724, 47302, 15844, 5551, 25513, 3615, 11778, 1829, 3732, 8978, 2423, 3321, 37495, 22653, 8032, 2655, 30544, 16472, 2423, 4724, 47302, 15844, 5551, 25513, 3615, 8978, 11778, 1829, 25062, 9566, 2288, 16712, 2304, 7649, 9957, 17942, 8978, 46811, 7649, 9957, 6055, 25513, 10632, 8978, 6086, 8608, 3555, 27884], "avg_logprob": -0.28469667934319554, "compression_ratio": 1.588235294117647, "no_speech_prob": 0.0, "words": [{"start": 2729.22, "end": 2730.06, "word": "طيب", "probability": 0.955078125}, {"start": 2730.06, "end": 2730.9, "word": " ال", "probability": 0.8974609375}, {"start": 2730.9, "end": 2731.44, "word": " fl", "probability": 0.478759765625}, {"start": 2731.44, "end": 2733.88, "word": " هتكون", "probability": 0.7484537760416666}, {"start": 2733.88, "end": 2734.1, "word": " سواء", "probability": 0.6787109375}, {"start": 2734.1, "end": 2734.52, "word": " مساحة", "probability": 0.8844401041666666}, {"start": 2734.52, "end": 2734.94, "word": " مقطع", "probability": 0.9039713541666666}, {"start": 2734.94, "end": 2735.06, "word": " ال", "probability": 0.90625}, {"start": 2735.06, "end": 2735.36, "word": " piston", "probability": 0.751953125}, {"start": 2735.36, "end": 2735.6, "word": " باي", "probability": 0.39239501953125}, {"start": 2735.6, "end": 2735.72, "word": " على", "probability": 0.6494140625}, {"start": 2735.72, "end": 2736.22, "word": " أربع", "probability": 0.7861328125}, {"start": 2736.22, "end": 2737.4, "word": " دي", "probability": 0.845947265625}, {"start": 2737.4, "end": 2737.78, "word": " square", "probability": 0.7265625}, {"start": 2737.78, "end": 2738.04, "word": " في", "probability": 0.736328125}, {"start": 2738.04, "end": 2738.12, "word": " ال", "probability": 0.9521484375}, {"start": 2738.12, "end": 2738.46, "word": " pressure", "probability": 0.99267578125}, {"start": 2738.46, "end": 2740.96, "word": " يعني", "probability": 0.887939453125}, {"start": 2740.96, "end": 2741.22, "word": " هتكون", "probability": 0.7183430989583334}, {"start": 2741.22, "end": 2741.36, "word": " ان", "probability": 0.366455078125}, {"start": 2741.36, "end": 2741.46, "word": " ال", "probability": 0.62451171875}, {"start": 2741.46, "end": 2741.58, "word": " باي", "probability": 0.550537109375}, {"start": 2741.58, "end": 2741.7, "word": " على", "probability": 0.90673828125}, {"start": 2741.7, "end": 2742.28, "word": " أربع", "probability": 0.9417317708333334}, {"start": 2742.28, "end": 2744.84, "word": " في", "probability": 0.6611328125}, {"start": 2744.84, "end": 2745.28, "word": " دي", "probability": 0.9619140625}, {"start": 2745.28, "end": 2748.44, "word": " القطر", "probability": 0.8948567708333334}, {"start": 2748.44, "end": 2749.16, "word": " التمانين", "probability": 0.7945556640625}, {"start": 2749.16, "end": 2750.24, "word": " millimeter", "probability": 0.41162109375}, {"start": 2750.24, "end": 2750.48, "word": " في", "probability": 0.76611328125}, {"start": 2750.48, "end": 2751.04, "word": " تمانين", "probability": 0.9283854166666666}, {"start": 2751.04, "end": 2752.78, "word": " تربية", "probability": 0.8702799479166666}, {"start": 2752.78, "end": 2753.84, "word": " في", "probability": 0.96142578125}, {"start": 2753.84, "end": 2754.16, "word": " bond", "probability": 0.364990234375}, {"start": 2754.16, "end": 2754.6, "word": " سبعة", "probability": 0.8284505208333334}], "temperature": 1.0}, {"id": 97, "seek": 278526, "start": 2755.94, "end": 2785.26, "text": "عسبنا الأفقال يعني عندي five على أربعة تطلع تلت تلاف وخمسمية وسبعتاشر تلت تلاف وخمسمية وسبعتاشر", "tokens": [3615, 35457, 8315, 16247, 5172, 4587, 6027, 37495, 22653, 18871, 16254, 1732, 15844, 5551, 25513, 27884, 6055, 9566, 1211, 3615, 6055, 1211, 2655, 6055, 15040, 5172, 4032, 9778, 2304, 38251, 10632, 4032, 35457, 34268, 33599, 2288, 6055, 1211, 2655, 6055, 15040, 5172, 4032, 9778, 2304, 38251, 10632, 4032, 35457, 34268, 33599, 2288], "avg_logprob": -0.19634434299648934, "compression_ratio": 1.6601941747572815, "no_speech_prob": 0.0, "words": [{"start": 2755.94, "end": 2756.52, "word": "عسبنا", "probability": 0.6837565104166666}, {"start": 2756.52, "end": 2757.18, "word": " الأفقال", "probability": 0.8729248046875}, {"start": 2757.18, "end": 2764.86, "word": " يعني", "probability": 0.9228515625}, {"start": 2764.86, "end": 2765.16, "word": " عندي", "probability": 0.813232421875}, {"start": 2765.16, "end": 2765.5, "word": " five", "probability": 0.142578125}, {"start": 2765.5, "end": 2765.64, "word": " على", "probability": 0.69140625}, {"start": 2765.64, "end": 2766.14, "word": " أربعة", "probability": 0.6969401041666666}, {"start": 2766.14, "end": 2778.54, "word": " تطلع", "probability": 0.912841796875}, {"start": 2778.54, "end": 2778.9, "word": " تلت", "probability": 0.8404947916666666}, {"start": 2778.9, "end": 2779.22, "word": " تلاف", "probability": 0.7766927083333334}, {"start": 2779.22, "end": 2779.86, "word": " وخمسمية", "probability": 0.82646484375}, {"start": 2779.86, "end": 2781.06, "word": " وسبعتاشر", "probability": 0.88359375}, {"start": 2781.06, "end": 2781.58, "word": " تلت", "probability": 0.9597981770833334}, {"start": 2781.58, "end": 2782.44, "word": " تلاف", "probability": 0.92333984375}, {"start": 2782.44, "end": 2783.92, "word": 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"end": 2929.63, "word": " أجيب", "probability": 0.943603515625}, {"start": 2929.63, "end": 2932.09, "word": " الاتنين", "probability": 0.838623046875}, {"start": 2932.09, "end": 2932.31, "word": " هنا", "probability": 0.7060546875}, {"start": 2932.31, "end": 2932.75, "word": " بالسيران", "probability": 0.8544921875}, {"start": 2932.75, "end": 2933.15, "word": " دي", "probability": 0.987548828125}, {"start": 2933.15, "end": 2934.73, "word": " point", "probability": 0.958984375}, {"start": 2934.73, "end": 2936.39, "word": " تمانية", "probability": 0.9635416666666666}], "temperature": 1.0}, {"id": 103, "seek": 296038, "start": 2938.1, "end": 2960.38, "text": "minus cosine theta زائد point واحد اتنين خمسة ناقص point واحد اتنين خمسة cosine تربيع theta بالساوة صفر", "tokens": [2367, 301, 23565, 9725, 30767, 16373, 3215, 935, 36764, 24401, 1975, 2655, 1863, 9957, 16490, 2304, 3794, 3660, 8717, 995, 4587, 9381, 935, 36764, 24401, 1975, 2655, 1863, 9957, 16490, 2304, 3794, 3660, 23565, 6055, 2288, 21292, 3615, 9725, 20666, 3794, 995, 2407, 3660, 20328, 5172, 2288], "avg_logprob": -0.18261719308793545, "compression_ratio": 1.3693693693693694, "no_speech_prob": 0.0, "words": [{"start": 2938.1, "end": 2939.02, "word": "minus", "probability": 0.55950927734375}, {"start": 2939.02, "end": 2939.74, "word": " cosine", "probability": 0.78515625}, {"start": 2939.74, "end": 2940.68, "word": " theta", "probability": 0.476318359375}, {"start": 2940.68, "end": 2943.48, "word": " زائد", "probability": 0.7589518229166666}, {"start": 2943.48, "end": 2944.16, "word": " point", "probability": 0.94970703125}, {"start": 2944.16, "end": 2944.86, "word": " واحد", "probability": 0.880126953125}, {"start": 2944.86, "end": 2945.52, "word": " اتنين", "probability": 0.9564208984375}, {"start": 2945.52, "end": 2948.28, "word": " خمسة", "probability": 0.9327392578125}, {"start": 2948.28, "end": 2950.3, "word": " ناقص", "probability": 0.9576416015625}, {"start": 2950.3, "end": 2952.32, "word": " point", "probability": 0.9755859375}, {"start": 2952.32, "end": 2953.02, "word": " واحد", "probability": 0.982421875}, {"start": 2953.02, "end": 2953.68, "word": " اتنين", "probability": 0.9830322265625}, {"start": 2953.68, "end": 2955.46, "word": " خمسة", "probability": 0.9918212890625}, {"start": 2955.46, "end": 2956.44, "word": " cosine", "probability": 0.93505859375}, {"start": 2956.44, "end": 2958.02, "word": " تربيع", "probability": 0.905517578125}, {"start": 2958.02, "end": 2958.84, "word": " theta", "probability": 0.463623046875}, {"start": 2958.84, "end": 2960.04, "word": " بالساوة", "probability": 0.68916015625}, {"start": 2960.04, "end": 2960.38, "word": " صفر", "probability": 0.78857421875}], "temperature": 1.0}, {"id": 104, "seek": 299304, "start": 2967.8, "end": 2993.04, "text": "يعني هتصير عندى point تسعة اتنين خمسة minus cosine theta minus point واحد اتنين خمسة cosine تربيع theta بالساوية صفر بدي اقسم على minus واحد", "tokens": [40228, 22653, 8032, 2655, 9381, 13546, 43242, 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"probability": 0.9822998046875}, {"start": 2975.74, "end": 2976.5, "word": " minus", "probability": 0.8896484375}, {"start": 2976.5, "end": 2977.24, "word": " cosine", "probability": 0.87890625}, {"start": 2977.24, "end": 2978.84, "word": " theta", "probability": 0.59326171875}, {"start": 2978.84, "end": 2981.26, "word": " minus", "probability": 0.943359375}, {"start": 2981.26, "end": 2983.24, "word": " point", "probability": 0.97216796875}, {"start": 2983.24, "end": 2984.12, "word": " واحد", "probability": 0.989990234375}, {"start": 2984.12, "end": 2984.78, "word": " اتنين", "probability": 0.9866943359375}, {"start": 2984.78, "end": 2986.38, "word": " خمسة", "probability": 0.9927978515625}, {"start": 2986.38, "end": 2987.06, "word": " cosine", "probability": 0.95751953125}, {"start": 2987.06, "end": 2987.74, "word": " تربيع", "probability": 0.75482177734375}, {"start": 2987.74, "end": 2988.38, "word": " theta", "probability": 0.533203125}, {"start": 2988.38, "end": 2989.18, "word": " بالساوية", "probability": 0.806640625}, {"start": 2989.18, "end": 2989.78, "word": " صفر", "probability": 0.8367513020833334}, {"start": 2989.78, "end": 2991.64, "word": " بدي", "probability": 0.501068115234375}, {"start": 2991.64, "end": 2991.88, "word": " اقسم", "probability": 0.94677734375}, {"start": 2991.88, "end": 2992.1, "word": " على", "probability": 0.6005859375}, {"start": 2992.1, "end": 2992.42, "word": " minus", "probability": 0.845703125}, {"start": 2992.42, "end": 2993.04, "word": " واحد", "probability": 0.988525390625}], "temperature": 1.0}, {"id": 105, "seek": 301919, "start": 2994.47, "end": 3019.19, "text": "أو خلّيني أضرب في تمانية بدي أضرب في تمانية الطرفين عشان أبسط هضرب طرفين في تمانية في سالب تمانية هزران دي cosine تربيع يعني هضربها في سالب تمانية هزران دي cosine تربيع theta زائد تمانية", "tokens": [10721, 2407, 16490, 1211, 11703, 9957, 1829, 5551, 11242, 25513, 8978, 46811, 7649, 10632, 4724, 16254, 5551, 11242, 25513, 8978, 46811, 7649, 10632, 41950, 28480, 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بدي", "probability": 0.593994140625}, {"start": 2996.67, "end": 2997.03, "word": " أضرب", "probability": 0.9363606770833334}, {"start": 2997.03, "end": 2997.25, "word": " في", "probability": 0.96923828125}, {"start": 2997.25, "end": 2997.61, "word": " تمانية", "probability": 0.966796875}, {"start": 2997.61, "end": 2998.15, "word": " الطرفين", "probability": 0.95458984375}, {"start": 2998.15, "end": 2998.63, "word": " عشان", "probability": 0.9475911458333334}, {"start": 2998.63, "end": 2999.17, "word": " أبسط", "probability": 0.8895263671875}, {"start": 2999.17, "end": 3000.31, "word": " هضرب", "probability": 0.9523111979166666}, {"start": 3000.31, "end": 3000.73, "word": " طرفين", "probability": 0.9244791666666666}, {"start": 3000.73, "end": 3000.85, "word": " في", "probability": 0.984375}, {"start": 3000.85, "end": 3001.35, "word": " تمانية", "probability": 0.90234375}, {"start": 3001.35, "end": 3001.79, "word": " في", "probability": 0.79736328125}, {"start": 3001.79, "end": 3002.31, "word": " سالب", "probability": 0.8302408854166666}, {"start": 3002.31, "end": 3002.83, "word": " تمانية", "probability": 0.9840494791666666}, {"start": 3002.83, "end": 3003.71, "word": " هزران", "probability": 0.367034912109375}, {"start": 3003.71, "end": 3003.87, "word": " دي", "probability": 0.78125}, {"start": 3003.87, "end": 3004.27, "word": " cosine", "probability": 0.609375}, {"start": 3004.27, "end": 3004.93, "word": " تربيع", "probability": 0.87109375}, {"start": 3004.93, "end": 3006.69, "word": " يعني", "probability": 0.914306640625}, {"start": 3006.69, "end": 3007.41, "word": " هضربها", "probability": 0.9791259765625}, {"start": 3007.41, "end": 3008.75, "word": " في", "probability": 0.97265625}, {"start": 3008.75, "end": 3009.17, "word": " سالب", "probability": 0.9816080729166666}, {"start": 3009.17, "end": 3009.69, "word": " تمانية", "probability": 0.98876953125}, {"start": 3009.69, "end": 3010.91, "word": " هزران", "probability": 0.890625}, {"start": 3010.91, "end": 3010.97, "word": " دي", "probability": 0.9501953125}, {"start": 3010.97, "end": 3011.21, "word": " cosine", "probability": 0.9189453125}, {"start": 3011.21, "end": 3011.91, "word": " تربيع", "probability": 0.9329833984375}, {"start": 3011.91, "end": 3012.61, "word": " theta", "probability": 0.322021484375}, {"start": 3012.61, "end": 3016.51, "word": " زائد", "probability": 0.87451171875}, {"start": 3016.51, "end": 3019.19, "word": " تمانية", "probability": 0.9856770833333334}], "temperature": 1.0}, {"id": 106, "seek": 304781, "start": 3020.83, "end": 3047.81, "text": "cos θ minus minus 7.4 بالساوية سفر", "tokens": [6877, 12622, 3175, 3175, 1614, 13, 19, 20666, 3794, 995, 2407, 10632, 8608, 5172, 2288], "avg_logprob": -0.3188476525247097, "compression_ratio": 0.9387755102040817, "no_speech_prob": 0.0, "words": [{"start": 3020.83, "end": 3021.25, "word": "cos", "probability": 0.50634765625}, {"start": 3021.25, "end": 3022.93, "word": " θ", "probability": 0.55810546875}, {"start": 3022.93, "end": 3024.55, "word": " minus", "probability": 0.5888671875}, {"start": 3024.55, "end": 3039.55, "word": " minus", "probability": 0.306640625}, {"start": 3039.55, "end": 3039.89, "word": " 7", "probability": 0.86083984375}, {"start": 3039.89, "end": 3040.69, "word": ".4", "probability": 0.87060546875}, {"start": 3040.69, "end": 3046.79, "word": " بالساوية", "probability": 0.7412109375}, {"start": 3046.79, "end": 3047.81, "word": " سفر", "probability": 0.81689453125}], "temperature": 1.0}, {"id": 107, "seek": 307722, "start": 3050.34, "end": 3077.22, "text": "يعني cos θ هذه كأنها معادلة على شكل x تربيه زائد بي في x x تربيه زائد بي في x زائد c بالساوية constant المعنى أن cos θ هتكون تساوي minus تمانية زائد أو ناقص الجزر التربيعي", "tokens": [40228, 22653, 3792, 12622, 29538, 9122, 33456, 11296, 20449, 18513, 37977, 15844, 13412, 28820, 2031, 6055, 2288, 21292, 3224, 30767, 16373, 3215, 4724, 1829, 8978, 2031, 2031, 6055, 2288, 21292, 3224, 30767, 16373, 3215, 4724, 1829, 8978, 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"end": 3058.84, "word": " شكل", "probability": 0.7841796875}, {"start": 3058.84, "end": 3059.58, "word": " x", "probability": 0.52001953125}, {"start": 3059.58, "end": 3060.12, "word": " تربيه", "probability": 0.671630859375}, {"start": 3060.12, "end": 3060.48, "word": " زائد", "probability": 0.68701171875}, {"start": 3060.48, "end": 3060.8, "word": " بي", "probability": 0.6451416015625}, {"start": 3060.8, "end": 3061.0, "word": " في", "probability": 0.91015625}, {"start": 3061.0, "end": 3061.5, "word": " x", "probability": 0.75830078125}, {"start": 3061.5, "end": 3063.42, "word": " x", "probability": 0.252197265625}, {"start": 3063.42, "end": 3063.66, "word": " تربيه", "probability": 0.9459228515625}, {"start": 3063.66, "end": 3063.86, "word": " زائد", "probability": 0.8951822916666666}, {"start": 3063.86, "end": 3064.02, "word": " بي", "probability": 0.974853515625}, {"start": 3064.02, "end": 3064.18, "word": " في", "probability": 0.986328125}, {"start": 3064.18, "end": 3064.5, "word": " x", "probability": 0.94189453125}, {"start": 3064.5, "end": 3064.86, "word": " زائد", "probability": 0.9588216145833334}, {"start": 3064.86, "end": 3065.06, "word": " c", "probability": 0.76171875}, {"start": 3065.06, "end": 3065.54, "word": " بالساوية", "probability": 0.82470703125}, {"start": 3065.54, "end": 3065.9, "word": " constant", "probability": 0.8017578125}, {"start": 3065.9, "end": 3066.12, "word": " المعنى", "probability": 0.750244140625}, {"start": 3066.12, "end": 3066.24, "word": " أن", "probability": 0.2408447265625}, {"start": 3066.24, "end": 3066.5, "word": " cos", "probability": 0.469970703125}, {"start": 3066.5, "end": 3067.02, "word": " θ", "probability": 0.8837890625}, {"start": 3067.02, "end": 3069.18, "word": " هتكون", "probability": 0.7754720052083334}, {"start": 3069.18, "end": 3069.74, "word": " تساوي", "probability": 0.8876953125}, {"start": 3069.74, "end": 3071.48, "word": " minus", "probability": 0.68359375}, {"start": 3071.48, "end": 3072.18, 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N", "probability": 0.22412109375}, {"start": 3527.69, "end": 3527.87, "word": " على", "probability": 0.74365234375}, {"start": 3527.87, "end": 3530.93, "word": " أربع", "probability": 0.7578125}, {"start": 3530.93, "end": 3531.65, "word": " يعني", "probability": 0.928955078125}, {"start": 3531.65, "end": 3531.79, "word": " انا", "probability": 0.701416015625}, {"start": 3531.79, "end": 3531.99, "word": " هكون", "probability": 0.7421875}, {"start": 3531.99, "end": 3532.31, "word": " عندي", "probability": 0.59375}, {"start": 3532.31, "end": 3532.39, "word": " ال", "probability": 0.78125}, {"start": 3532.39, "end": 3533.03, "word": " FI", "probability": 0.58837890625}], "temperature": 1.0}, {"id": 122, "seek": 355002, "start": 3544.42, "end": 3550.02, "text": "تلتاش كو ساين زائد", "tokens": [2655, 1211, 2655, 33599, 9122, 2407, 8608, 995, 9957, 30767, 16373, 3215], "avg_logprob": -0.5336538461538461, "compression_ratio": 0.7857142857142857, "no_speech_prob": 0.0, "words": [{"start": 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2423, 9102, 13672, 1829, 39896, 2423, 479, 314, 4032, 2423, 479, 286, 4032, 2423, 479, 441, 4032, 2423, 479, 1249, 4032, 2423, 479, 363, 4032, 2423, 479, 314, 5717, 334, 7664, 383], "avg_logprob": -0.3794642857142857, "compression_ratio": 1.5569620253164558, "no_speech_prob": 0.0, "words": [{"start": 4039.33, "end": 4039.93, "word": "الكون", "probability": 0.248443603515625}, {"start": 4039.93, "end": 4040.07, "word": " ال", "probability": 0.9521484375}, {"start": 4040.07, "end": 4040.51, "word": " variables", "probability": 0.8974609375}, {"start": 4040.51, "end": 4040.75, "word": " اللي", "probability": 0.756591796875}, {"start": 4040.75, "end": 4041.13, "word": " هي", "probability": 0.888671875}, {"start": 4041.13, "end": 4041.79, "word": " ال", "probability": 0.80859375}, {"start": 4041.79, "end": 4042.11, "word": " F", "probability": 0.2247314453125}, {"start": 4042.11, "end": 4042.73, "word": " T", "probability": 0.25830078125}, {"start": 4042.73, "end": 4044.29, "word": " و", 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الأخير هى ال engine speed at which the above values become zero for the same angle يعني انا هلعب في زاوية اللي .. اللي .. اللي .. اللي حاسير .. اللي حاسير مثلا ال F piston بيصوى F L .. F L minus F I يعني لما ال .. ال piston effort لما ال load بيصوى ال inertia force بصل", "tokens": [45340, 9566, 1211, 37746, 16247, 9778, 13546, 8032, 7578, 2423, 2848, 3073, 412, 597, 264, 3673, 4190, 1813, 4018, 337, 264, 912, 5802, 37495, 22653, 1975, 8315, 8032, 1211, 3615, 3555, 8978, 30767, 995, 2407, 10632, 13672, 1829, 4386, 13672, 1829, 4386, 13672, 1829, 4386, 13672, 1829, 11331, 32277, 13546, 4386, 13672, 1829, 11331, 32277, 13546, 50113, 15040, 2423, 479, 30002, 4724, 1829, 9381, 2407, 7578, 479, 441, 4386, 479, 441, 3175, 479, 286, 37495, 22653, 5296, 15042, 2423, 4386, 2423, 30002, 4630, 5296, 15042, 2423, 3677, 4724, 1829, 9381, 2407, 7578, 2423, 37234, 3464, 4724, 36520], "avg_logprob": -0.27184312015163653, "compression_ratio": 1.669603524229075, "no_speech_prob": 0.0, "words": [{"start": 4091.9300000000003, "end": 4092.61, "word": "المطلوب", "probability": 0.9149169921875}, {"start": 4092.61, "end": 4092.93, "word": " الأخير", "probability": 0.861328125}, {"start": 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diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EoHqH6PPs5A_raw.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EoHqH6PPs5A_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..b8480a1e744c0ed4491356d44803d08bd6deda4b
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/EoHqH6PPs5A_raw.srt
@@ -0,0 +1,2256 @@
+1
+00:00:04,890 --> 00:00:07,830
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,830 --> 00:00:12,250
+وبركاته اليوم هنكمل الشابتر inertia forces of
+
+3
+00:00:12,250 --> 00:00:16,070
+reciprocating parts بعدين هدرسنا اللي هو velocity
+
+4
+00:00:16,070 --> 00:00:19,630
+displacement and acceleration analysis لل slotted
+
+5
+00:00:19,630 --> 00:00:22,290
+crank mechanism حسبنا ال velocity و ال
+
+6
+00:00:22,290 --> 00:00:25,890
+acceleration و ال position لل piston حسبنا ال
+
+7
+00:00:25,890 --> 00:00:28,730
+angular velocity و ال angular acceleration لل
+
+8
+00:00:28,730 --> 00:00:33,350
+connecting rod طبعا هنعطينا حلول تحليلية تقريبية
+
+9
+00:00:33,350 --> 00:00:37,880
+عملنا بعض ال approximationsهنكمل نحسب ال forces
+
+10
+00:00:37,880 --> 00:00:45,280
+على الـ reciprocating parts of an engine انا
+
+11
+00:00:45,280 --> 00:00:53,900
+عند هنا استخدام الكرانك عند هاي مركز دوران الكرانك
+
+12
+00:00:53,900 --> 00:00:57,640
+او هاي الكرانك
+
+13
+00:01:04,480 --> 00:01:12,380
+و هاي ال connecting rod هذه
+
+14
+00:01:12,380 --> 00:01:22,380
+OC وهذه نقطة P وهذه ال piston
+
+15
+00:01:22,380 --> 00:01:33,480
+الكراينك
+
+16
+00:01:33,480 --> 00:01:33,940
+بدور
+
+17
+00:01:38,240 --> 00:01:44,320
+بصورة على الزاوية omega clockwise الزاوية مع الأفق
+
+18
+00:01:44,320 --> 00:01:48,400
+هذا
+
+19
+00:01:48,400 --> 00:01:54,820
+theta والزاوية بيصويها ال connecting rod مع الأفق
+
+20
+00:01:54,820 --> 00:01:59,560
+هذا الزاوية في
+
+21
+00:02:08,590 --> 00:02:13,870
+الان لو بدأ اعمل force analysis و بدأت من عند ال
+
+22
+00:02:13,870 --> 00:02:18,270
+piston هكون
+
+23
+00:02:18,270 --> 00:02:23,910
+عند ال piston هين هنلق force analysis
+
+24
+00:02:39,620 --> 00:02:45,840
+هيكون في عندي هين جاي piston effort FP
+
+25
+00:02:45,840 --> 00:02:53,460
+في عندي normal force هين من الجدار بتاع الأستوانة
+
+26
+00:02:53,460 --> 00:03:01,760
+F normal و في عندي وزن ال reciprocating parts
+
+27
+00:03:16,360 --> 00:03:23,840
+و فيه عندى force من
+
+28
+00:03:23,840 --> 00:03:32,240
+ال connecting rod في
+
+29
+00:03:32,240 --> 00:03:38,140
+هذا
+
+30
+00:03:38,140 --> 00:03:43,020
+بشكل أسئلة لو أخدت ال piston لو أخدت ال connecting
+
+31
+00:03:43,020 --> 00:03:43,400
+rod
+
+32
+00:03:47,140 --> 00:03:51,440
+اخدت الـ Connecting Rod لحاله
+
+33
+00:03:51,440 --> 00:03:55,720
+هذا
+
+34
+00:03:55,720 --> 00:04:05,340
+الـ Connecting Rod هكون فيه عنده هذا
+
+35
+00:04:05,340 --> 00:04:15,420
+يسمى FQ هذه FQ هذه
+
+36
+00:04:15,420 --> 00:04:15,980
+زاوية في
+
+37
+00:04:19,080 --> 00:04:25,080
+طبعا هنا انا .. I assume انه .. I assume انه ال ..
+
+38
+00:04:25,080 --> 00:04:27,780
+I'm neglecting ال weight ل ال connecting rod ال
+
+39
+00:04:27,780 --> 00:04:30,960
+weight of connecting rod is neglected .. neglected
+
+40
+00:04:30,960 --> 00:04:35,320
+تم إهمال وزن ال connecting rod و it is two for
+
+41
+00:04:35,320 --> 00:04:42,540
+swim بربع نطوية هيكون في عندي كمان هنا FQ
+
+42
+00:04:42,540 --> 00:04:47,800
+جاي من ال crankجا اعمل لك رانك على ال connecting
+
+43
+00:04:47,800 --> 00:04:52,940
+rod يعني
+
+44
+00:04:52,940 --> 00:05:06,660
+عندي هين عندي هين FN عندي هين F piston effort و
+
+45
+00:05:06,660 --> 00:05:09,260
+عندي الوزن of reciprocating parts WR
+
+46
+00:05:18,990 --> 00:05:22,670
+ال piston effort هو ال net force acting on the
+
+47
+00:05:22,670 --> 00:05:28,070
+piston along the line of stroke ال piston effort
+
+48
+00:05:28,070 --> 00:05:36,150
+هو ال net force acting on the piston along the
+
+49
+00:05:36,150 --> 00:05:41,990
+line of stroke يعني في هذا الاتجاه مصدرها جاي من
+
+50
+00:05:41,990 --> 00:05:47,230
+ال pressure في عند ال pressureعلى ال piston طبعا
+
+51
+00:05:47,230 --> 00:05:56,310
+فيه هيقامه friction ف ال .. ال .. ال FP طبعا
+
+52
+00:05:56,310 --> 00:05:59,810
+هيقامه friction و inertia forces هيقامه friction و
+
+53
+00:05:59,810 --> 00:06:03,850
+inertia forces هذا ال piston اللي أنا كمله عندهين
+
+54
+00:06:03,850 --> 00:06:06,050
+بيصير بالشكل هذا
+
+55
+00:06:11,870 --> 00:06:24,370
+اللي هي مثلا هحكي mr في ال a بتاعة ال piston او
+
+56
+00:06:24,370 --> 00:06:33,150
+كنت احكي بالشكل هذا هي عندي ال piston علي
+
+57
+00:06:33,150 --> 00:06:37,490
+fn في كمان friction resistance
+
+58
+00:06:42,960 --> 00:06:48,920
+فى عندى FN FN
+
+59
+00:06:48,920 --> 00:06:52,580
+وعندى
+
+60
+00:06:52,580 --> 00:07:01,360
+بدي أسميها هى F F ال load F ال load و بحكي وعندي
+
+61
+00:07:01,360 --> 00:07:12,330
+ال inertia force اللى هى MR A pistonعندي FN و الـ
+
+62
+00:07:12,330 --> 00:07:17,530
+WR وعندي
+
+63
+00:07:17,530 --> 00:07:23,050
+FQ
+
+64
+00:07:23,050 --> 00:07:26,110
+وعندي
+
+65
+00:07:26,110 --> 00:07:35,530
+اللي هي ال frictional force يعني في عندى force due
+
+66
+00:07:35,530 --> 00:07:39,350
+to load جامع ال pressure على ال pistonوفي ال
+
+67
+00:07:39,350 --> 00:07:43,850
+inertia force mr في ال acceleration وفي عندى
+
+68
+00:07:43,850 --> 00:07:46,490
+fractional force وفي عندى ال normal force من جدران
+
+69
+00:07:46,490 --> 00:07:53,830
+أسطوانة وفي عندى وزن ال piston وفي عندى اللى هو ال
+
+70
+00:07:53,830 --> 00:07:56,890
+force من ال connecting rod على ال piston
+
+71
+00:08:03,400 --> 00:08:06,460
+يعني حكينا ال .. ال .. ال .. ال FP ال piston
+
+72
+00:08:06,460 --> 00:08:11,580
+effort هي ال net force acting along the line of
+
+73
+00:08:11,580 --> 00:08:16,480
+stroke يعني ال net force بيهدى الاتجاه معناته
+
+74
+00:08:16,480 --> 00:08:26,200
+ال FL ال .. ال .. ال piston effort هتكون ال
+
+75
+00:08:26,200 --> 00:08:33,350
+piston effortف بيستمر زي هى net force عبارة عن ال
+
+76
+00:08:33,350 --> 00:08:39,210
+force due ت ال fl إذا
+
+77
+00:08:39,210 --> 00:08:44,850
+it is accelerating هتكون minus إذا
+
+78
+00:08:44,850 --> 00:08:47,290
+it is decelerating هتكون plus minus ال inertia
+
+79
+00:08:47,290 --> 00:08:52,250
+force minus ال frictional force minus ال
+
+80
+00:08:52,250 --> 00:08:56,210
+frictional force هى RF هنسميها
+
+81
+00:09:00,000 --> 00:09:07,240
+RF هين RF معناته هذا ال free body diagram هذا ال
+
+82
+00:09:07,240 --> 00:09:12,000
+original هسير بالشكل
+
+83
+00:09:12,000 --> 00:09:16,600
+هذا اللي هو ال piston effort لأن هاي ال piston
+
+84
+00:09:16,600 --> 00:09:21,600
+effort عبارة عن net force ناتجة عن ال load و ال
+
+85
+00:09:21,600 --> 00:09:27,660
+energy و ال frictionهتكون عندي F piston F ال
+
+86
+00:09:27,660 --> 00:09:31,540
+piston effort وعندي
+
+87
+00:09:31,540 --> 00:09:34,780
+ال
+
+88
+00:09:34,780 --> 00:09:47,040
+F normal وعندي اللي هو WR وعندي اللي هي F في Q
+
+89
+00:09:47,040 --> 00:09:48,940
+وهذا الزاوية عياش في
+
+90
+00:09:59,710 --> 00:10:05,150
+معناته ان الكتاب مش ماضحة ال piston effort في
+
+91
+00:10:05,150 --> 00:10:09,810
+الأساس في ال free pedagram الأصلي عبارة عن ال load
+
+92
+00:10:09,810 --> 00:10:15,130
+due to pressure و ال inertia force ال mar في ال a
+
+93
+00:10:15,130 --> 00:10:18,830
+piston و ال frictional force معناته ان ال piston
+
+94
+00:10:18,830 --> 00:10:23,340
+effort هو ال net force محصلة flو ال inertia و ال
+
+95
+00:10:23,340 --> 00:10:27,080
+friction force اللي هي F P بيسوا F L minus plus F
+
+96
+00:10:27,080 --> 00:10:30,080
+I minus R F واضح انه لما كان ال piston it is
+
+97
+00:10:30,080 --> 00:10:34,460
+accelerating along this direction كانت .. كانت ال
+
+98
+00:10:34,460 --> 00:10:37,640
+inertia بالاتجاه هذا معناه ان ال inertia بتعكسني
+
+99
+00:10:37,640 --> 00:10:41,140
+when it is accelerating عشان كي صارت minus اذا كان
+
+100
+00:10:41,140 --> 00:10:44,960
+decelerating هيكون بيساعدني هيكون ان دي بيصير plus
+
+101
+00:10:44,960 --> 00:10:46,880
+F I minus R F
+
+102
+00:10:50,500 --> 00:10:57,980
+الان ال inertia force ال inertia force ال fi
+
+103
+00:10:57,980 --> 00:11:02,140
+قيمتها بتساوي
+
+104
+00:11:02,140 --> 00:11:12,660
+ال mr في ال AP يعني هتكون ال mr هاي ال AP هتكون mr
+
+105
+00:11:12,660 --> 00:11:24,120
+في omega square r في cosine thetaزائد cosine two
+
+106
+00:11:24,120 --> 00:11:34,160
+theta على n هذه ال inertia force نعود لل load
+
+107
+00:11:34,160 --> 00:11:34,760
+force
+
+108
+00:11:52,710 --> 00:11:56,730
+في حياتي ال engine كان أفق يعني ال piston بتتحرك
+
+109
+00:11:56,730 --> 00:11:59,930
+بهذا الاتجاه هذا horizontal vertical ال piston
+
+110
+00:11:59,930 --> 00:12:01,090
+بتتحرك بهذا الاتجاه
+
+111
+00:12:03,730 --> 00:12:06,570
+the reciprocating parts are accelerated from rest
+
+112
+00:12:06,570 --> 00:12:10,830
+when piston moves from inner dead center to outer
+
+113
+00:12:10,830 --> 00:12:14,090
+dead center يعني بيكون ال acceleration اللي ال
+
+114
+00:12:14,090 --> 00:12:16,770
+piston في حالة تسار لما بتحرك من ال top dead
+
+115
+00:12:16,770 --> 00:12:19,570
+center لل bottom dead center يعني من أقصى نقطة
+
+116
+00:12:19,570 --> 00:12:22,710
+لأعلى نقطة بيكون في acceleration و بيصير في حالة
+
+117
+00:12:22,710 --> 00:12:25,950
+deceleration لما بتحرك من ال bottom dead center لل
+
+118
+00:12:25,950 --> 00:12:27,270
+top dead center
+
+119
+00:12:32,940 --> 00:12:36,060
+ال inertia force due to acceleration of respondent
+
+120
+00:12:36,060 --> 00:12:44,040
+parts بتعاكز ال force على ال piston اللي بتعاكز ال
+
+121
+00:12:44,040 --> 00:12:47,740
+fl معناته ان الحالة اللي احنا حاولنا تكون minus fi
+
+122
+00:12:47,740 --> 00:12:50,400
+اذا كان عندى acceleration اذا كان عندى retardation
+
+123
+00:12:50,400 --> 00:12:54,300
+يعني عندى acceleration بتساعدني بيصير ال piston
+
+124
+00:12:54,300 --> 00:12:58,020
+effort fl plus fi minus rf
+
+125
+00:13:01,800 --> 00:13:05,560
+زي ما حكينا ال piston effort هي ال net load on the
+
+126
+00:13:05,560 --> 00:13:10,060
+piston اللي هو عبارة عن fl minus plus fi minus rf
+
+127
+00:13:10,060 --> 00:13:15,340
+ال negative sign is used في حالة كلان دي
+
+128
+00:13:15,340 --> 00:13:20,900
+acceleration ال piston is accelerating بتكون plus
+
+129
+00:13:20,900 --> 00:13:27,720
+في حالة ال piston is decelerating ال
+
+130
+00:13:27,720 --> 00:13:28,400
+F load
+
+131
+00:13:31,250 --> 00:13:35,570
+لكن ال F load جاية نتيجة ال pressure نتيجة ال
+
+132
+00:13:35,570 --> 00:13:40,850
+pressure هتكون ال F load هاي ال piston هاي الطرف
+
+133
+00:13:40,850 --> 00:13:44,750
+لل piston و هاي الطرف في عندي هتسميها area ال area
+
+134
+00:13:44,750 --> 00:13:57,270
+هين بتكون A1 و ال area هين A2 ال F L هتكون A1
+
+135
+00:13:58,210 --> 00:14:07,910
+P1 minus A2 P2 ال P1 هو ال pressure مواجه مباشرة
+
+136
+00:14:07,910 --> 00:14:12,490
+لل piston ال P2 هو ال pressure عكس ال piston يعني
+
+137
+00:14:12,490 --> 00:14:15,810
+في حالة double acting steam engine بيكون في
+
+138
+00:14:15,810 --> 00:14:24,570
+pressure P1 و P2 طيب
+
+139
+00:14:33,030 --> 00:14:38,530
+في حالة vertical engine يعني ال piston كان متحرك
+
+140
+00:14:38,530 --> 00:14:47,090
+بالاتجاه الرأسي ال weight of respectating parts
+
+141
+00:14:47,090 --> 00:14:54,760
+وزن ال pistonبساعدني و انا نازل يعني جاي من ال top
+
+142
+00:14:54,760 --> 00:14:58,420
+of the center ل البطنس بساعدني و بعكسني و انا طالع
+
+143
+00:14:58,420 --> 00:15:02,160
+بعكسني و انا طالع في الحالة هذه ال piston effort
+
+144
+00:15:03,050 --> 00:15:05,550
+وانا نازل من ال top dead center لل bottom dead
+
+145
+00:15:05,550 --> 00:15:10,230
+center ال piston will be fl minus plus fi plus or
+
+146
+00:15:10,230 --> 00:15:16,030
+minus wr minus rf وانا نازل بيكون عندى plus wr
+
+147
+00:15:16,030 --> 00:15:20,870
+بتعكسني ال inertia force وبساعدني وزن ال piston و
+
+148
+00:15:20,870 --> 00:15:25,880
+ال friction ده بيعكسني وانا طالعبكون عندي ال
+
+149
+00:15:25,880 --> 00:15:30,660
+inertia force بتساعدني و الوزن بتاع ال .. ال .. ال
+
+150
+00:15:30,660 --> 00:15:34,520
+.. ال piston بيعكسني و ال friction is always انها
+
+151
+00:15:34,520 --> 00:15:43,520
+عكس اللي بتعكس تجاه الحركة طيب
+
+152
+00:15:43,520 --> 00:15:49,940
+لان
+
+153
+00:15:49,940 --> 00:15:53,800
+ال FQ انا عندي هنا حكاية انا عندي هنا هاي
+
+154
+00:15:56,830 --> 00:16:06,650
+الـ O وهي ال C هذه ال crank وهذه
+
+155
+00:16:06,650 --> 00:16:10,550
+ال piston هذه
+
+156
+00:16:10,550 --> 00:16:18,170
+P هنا حكينا ال FQ ال
+
+157
+00:16:18,170 --> 00:16:22,530
+FQ بيستوى ال piston effort ال FQ
+
+158
+00:16:25,720 --> 00:16:29,960
+بستوى ال piston effort او نحكي الفي كيو كوصين
+
+159
+00:16:29,960 --> 00:16:35,000
+الفاي الفي كيو كوصين
+
+160
+00:16:35,000 --> 00:16:41,340
+الفاي بستوى ال piston effort يعني الفي كيو بستوى
+
+161
+00:16:41,340 --> 00:16:51,960
+piston effort على كوصين الفاي الان
+
+162
+00:16:51,960 --> 00:16:53,080
+هذه الفي كيو
+
+163
+00:16:56,480 --> 00:17:02,700
+نقلت لهنا بعدين حللت له مراكبة تانية مراكبة في
+
+164
+00:17:02,700 --> 00:17:14,220
+اتجاه الكرانك FB ومراكبة عمودية على
+
+165
+00:17:14,220 --> 00:17:25,970
+الكرانك FT الزاوية هادية θوالزاوية هذه Phi معناته
+
+166
+00:17:25,970 --> 00:17:32,010
+هذه الزاوية هتكون زاوية خارج المثلث Theta زائد Phi
+
+167
+00:17:32,010 --> 00:17:46,470
+طيب
+
+168
+00:17:51,810 --> 00:17:57,330
+الان FQ حللتها لمركبتين مركبة عمودية علي الـ crank
+
+169
+00:17:57,330 --> 00:18:10,370
+و مركبة في اتجاه ال crank ال F T بالساوية
+
+170
+00:18:10,370 --> 00:18:15,410
+ال FQ ال
+
+171
+00:18:15,410 --> 00:18:19,770
+F T بالساوية ال FQ صين
+
+172
+00:18:22,660 --> 00:18:32,080
+الثيتا زائد في صين الثيتا زائد
+
+173
+00:18:32,080 --> 00:18:36,100
+في ال
+
+174
+00:18:36,100 --> 00:18:44,480
+FQ عبارة عن FP في
+
+175
+00:18:44,480 --> 00:18:52,190
+ال FQ FP على الجزر التربيعيلواحد ناقص sin تربيع θ
+
+176
+00:18:52,190 --> 00:19:05,530
+على n تربيع في sin θ زائد في يعني
+
+177
+00:19:05,530 --> 00:19:18,290
+هتساوي ال FB في هذا هتكون sin θ cosine فيزاد cos θ
+
+178
+00:19:18,290 --> 00:19:34,990
+sin فى على cos فى يعنى ال F T هتسوى F P في sin θ
+
+179
+00:19:34,990 --> 00:19:50,310
+زاد cos θ في sin فى على cos فىيعني هتستوى FP في
+
+180
+00:19:50,310 --> 00:20:04,990
+sin θ زائد cos θ tan Phi لأن احنا نرجع ل Phi هاي
+
+181
+00:20:04,990 --> 00:20:14,130
+Phi هاي sin θ وهاي N هذا جزر التربيعيلأن تربيع
+
+182
+00:20:14,130 --> 00:20:23,570
+ناقص sin تربيع ثتا معناته tan phi هتكون
+
+183
+00:20:23,570 --> 00:20:29,930
+تساوي sin ثتا على
+
+184
+00:20:29,930 --> 00:20:37,410
+جزر التربيع لأن تربيع minus sin تربيع ثتا
+
+185
+00:20:44,600 --> 00:20:49,360
+الـ FT بتساوي
+
+186
+00:20:49,360 --> 00:21:02,600
+ال FB في sin θ زاد cos θ of tan phi يعني هكون cos
+
+187
+00:21:02,600 --> 00:21:13,310
+θ في sin θعلى جزر التربيعي لان تربيع minus sin
+
+188
+00:21:13,310 --> 00:21:32,990
+تربيع ثتا هذا هو ال Ft الآن
+
+189
+00:21:32,990 --> 00:21:41,810
+ال Ftالـ Torque ال F T هتعمل إيه؟ ال Torque هكون
+
+190
+00:21:41,810 --> 00:21:49,070
+ال radius تاع الكرانك في ال F T يعني ال Torque
+
+191
+00:21:49,070 --> 00:21:59,450
+هيكون اللي هو R F P في sin θ زاد
+
+192
+00:22:00,640 --> 00:22:04,480
+Sin θ كو Sin ثتا عبارة عن ضربنا في اتنية على اتنية
+
+193
+00:22:04,480 --> 00:22:13,720
+هتكون Sin two theta على اتنين اتنين
+
+194
+00:22:13,720 --> 00:22:22,000
+الجزر التربيعي لان تربيع minus Sin تربيع ثتا هذا
+
+195
+00:22:22,000 --> 00:22:22,960
+يعيش ال torque
+
+196
+00:22:34,550 --> 00:22:55,810
+ليه هذه المعادلة طبعا
+
+197
+00:22:55,810 --> 00:23:01,770
+هنعمل تقريبالـ sin θ قيمتها تتراوح بين ماينوس واحد
+
+198
+00:23:01,770 --> 00:23:04,450
+و واحد معناته sin تربيه ثتا ال maximum value اللي
+
+199
+00:23:04,450 --> 00:23:09,190
+هتكون واحد ال N square هتكون أكبر بكتير من الواحد
+
+200
+00:23:09,190 --> 00:23:14,070
+من ال sin تربيه الثتا معناته هذه بتصف في sin two
+
+201
+00:23:14,070 --> 00:23:19,650
+theta على اتنين N فبصف في ال torque تقريبا ال
+
+202
+00:23:19,650 --> 00:23:24,630
+torque تقريبا بستوي FPR في sin ثتا زائد sin two
+
+203
+00:23:24,630 --> 00:23:36,620
+theta على اتنين Nحصة و حصافة اللي هو FPR في sin θ
+
+204
+00:23:36,620 --> 00:23:44,320
+زائد sin 2θ على 2N
+
+205
+00:23:51,720 --> 00:24:00,380
+الان احنا حكينا ان ال FQ هعملها لمركبتين مركبة
+
+206
+00:24:00,380 --> 00:24:03,260
+عمودية علي ال crank ومركبة في اتجاه ال crank ال FB
+
+207
+00:24:03,260 --> 00:24:09,780
+اللي هي في اتجاه ال crank مركبة ال FQ FB هتكون FQ
+
+208
+00:24:09,780 --> 00:24:18,720
+في cosine theta زائد في يعني هتكون ال FQ عبارة عن
+
+209
+00:24:18,720 --> 00:24:27,870
+piston effortعلى cosine الـ phi في cosine theta
+
+210
+00:24:27,870 --> 00:24:41,930
+زائد في اللي
+
+211
+00:24:41,930 --> 00:24:47,330
+هي هذه المعادلةالـ Force مركبة الـ FQ باتجاه الـ
+
+212
+00:24:47,330 --> 00:24:51,670
+Crank هيبقى عن FP على كسان 5 كسان تاته زائد 5
+
+213
+00:24:51,670 --> 00:24:58,190
+معناته
+
+214
+00:24:58,190 --> 00:25:05,290
+هدول معدلات معناته
+
+215
+00:25:11,760 --> 00:25:17,200
+ال piston effort ال piston باختصار ال piston
+
+216
+00:25:17,200 --> 00:25:21,540
+effort ال effort عند ال piston اللي هي ال net
+
+217
+00:25:21,540 --> 00:25:28,960
+force along ال line و ال stroke انها جعل ال load و
+
+218
+00:25:28,960 --> 00:25:37,280
+ال inertia force و ال friction بتحول ل torque
+
+219
+00:25:37,280 --> 00:25:43,570
+العزمع الكرانك اللي هي قيمته ال torque FPR في sin
+
+220
+00:25:43,570 --> 00:25:48,930
+theta زي sin theta على اتنين N زائد force في اتجاه
+
+221
+00:25:48,930 --> 00:25:55,610
+الكرانك اللي هي FB عبارة عن FQ cosine theta زائد
+
+222
+00:25:55,610 --> 00:25:58,830
+في و FQ FB على cosine phi cosine theta زائد في
+
+223
+00:25:58,830 --> 00:26:06,150
+نشوف
+
+224
+00:26:06,150 --> 00:26:07,470
+مثلًا نحل أمثلة
+
+225
+00:26:22,770 --> 00:26:26,250
+Find the inertia force for the following data of
+
+226
+00:26:26,250 --> 00:26:29,670
+an internal combustion engine او الانيرشافورس دا
+
+227
+00:26:29,670 --> 00:26:33,470
+البيانات التانية للمحرك احتراك داخلي معطيني ال
+
+228
+00:26:33,470 --> 00:26:38,150
+bore بتاعة ال piston مية و سبعين ملي متر و ال
+
+229
+00:26:38,150 --> 00:26:44,210
+stroke متين ملي متر و ال engine speed خمسمية rpm و
+
+230
+00:26:44,210 --> 00:26:48,840
+ال length of connecting rod اربعمية مليو ال crank
+
+231
+00:26:48,840 --> 00:26:53,940
+angle ستين درجة from inner dead center و ال mass
+
+232
+00:26:53,940 --> 00:26:57,600
+of reciprocating parts مية و تمانين كيلو جرام الان
+
+233
+00:26:57,600 --> 00:27:03,480
+ال inertia force بسوء
+
+234
+00:27:03,480 --> 00:27:08,100
+mr في ال acceleration بتاعة ال piston يعني هتكون
+
+235
+00:27:08,100 --> 00:27:17,630
+mr acceleration بتاع ال piston هي omega squareR ب
+
+236
+00:27:17,630 --> 00:27:34,550
+cos θ زاد cos 2θ على N الان ال MR معطينيها اللي هي
+
+237
+00:27:34,550 --> 00:27:42,150
+كم كبت ال MR؟ مية و تمانين كيلو جرام وال
+
+238
+00:27:42,150 --> 00:27:42,610
+Omega
+
+239
+00:27:47,150 --> 00:27:54,910
+معطيني الان هو معطيني خمسمية فى اتنين by ع ستين
+
+240
+00:27:54,910 --> 00:28:10,950
+يعني لو حسبنا خمسمية فى اتنين by ع ستين خمسمية
+
+241
+00:28:10,950 --> 00:28:14,030
+فى
+
+242
+00:28:14,030 --> 00:28:21,610
+اتنين فى تلاتة point واحد اربعةتقسيم ستين تطلع
+
+243
+00:28:21,610 --> 00:28:25,790
+اتنين و خمسين point
+
+244
+00:28:25,790 --> 00:28:32,270
+تلاتة radian per second هذي ال omega ال
+
+245
+00:28:32,270 --> 00:28:36,710
+R هو ال rate of crank ال R بالساوي ال R عبارة عن
+
+246
+00:28:36,710 --> 00:28:45,270
+ال stroke على اتنين ال stroke معتنيها متين على
+
+247
+00:28:45,270 --> 00:28:47,710
+اتنين مائة millimeter
+
+248
+00:28:55,670 --> 00:29:02,470
+الان اللي هي ال L على R اللي المعطينيها أربعمية
+
+249
+00:29:02,470 --> 00:29:11,970
+على مية اللي هي أربعة ومعطيني ال theta ال theta
+
+250
+00:29:11,970 --> 00:29:17,070
+معطينيها ستين درجة ستين درجة معناته ال inertia
+
+251
+00:29:17,070 --> 00:29:23,490
+force F Iهتكون ال MR اللي هي مية و تمانين في ال
+
+252
+00:29:23,490 --> 00:29:27,190
+omega square اللي هي اتنين و خمسين point تلاتة
+
+253
+00:29:27,190 --> 00:29:38,090
+تربيع في ال R point واحد في ال cosine الستين درجة
+
+254
+00:29:38,090 --> 00:29:47,430
+زاد cosine المية و عشرين درجة على اربعة يعني هتكون
+
+255
+00:29:47,430 --> 00:29:48,550
+سوى مية و تمانين
+
+256
+00:29:56,670 --> 00:30:04,310
+مية و تمانين في اتنين و خمسين point تلاتة تربيع في
+
+257
+00:30:04,310 --> 00:30:12,030
+point one بتلع تسعة و اربعين الف و اتنين و خمس و
+
+258
+00:30:12,030 --> 00:30:15,310
+تلاتين cosine ستين اللي هي نص
+
+259
+00:30:19,630 --> 00:30:27,930
+minus نص على أربعة minus point واحد اتنين
+
+260
+00:30:27,930 --> 00:30:37,430
+خمسة يعني نص
+
+261
+00:30:43,240 --> 00:30:48,300
+نقص point واحد اتنين خمسة في تسعة واربعين الف
+
+262
+00:30:48,300 --> 00:30:57,500
+ومتين وخمسة وتلاتين تطلع تمانتاشر الف اربعمية
+
+263
+00:30:57,500 --> 00:31:00,700
+وتلاتة وستين نيوتن
+
+264
+00:31:02,750 --> 00:31:10,390
+يعني تقريبا حوال اتنين طن يعني كأنه ثقل اتنين طن
+
+265
+00:31:10,390 --> 00:31:14,570
+كأنه ثقل اتنين طن يعني واضح ال inertia forces is
+
+266
+00:31:14,570 --> 00:31:19,650
+huge يعني بتشكل رقم كبير في ال internal combustion
+
+267
+00:31:19,650 --> 00:31:25,670
+engines طيب
+
+268
+00:31:25,670 --> 00:31:27,570
+هيك بيكون حسبنا ال inertia force
+
+269
+00:31:31,990 --> 00:31:42,310
+نشوف مثال تاني The crank
+
+270
+00:31:42,310 --> 00:31:45,670
+of a horizontal angel is three hundred millimeters
+
+271
+00:31:45,670 --> 00:31:50,570
+نعطيه الكرانك ال R بالساوية
+
+272
+00:31:50,570 --> 00:31:53,270
+تلاتمية مليمتر
+
+273
+00:31:55,190 --> 00:31:58,190
+the mass of reciprocating parts is متين و خمسين
+
+274
+00:31:58,190 --> 00:32:02,790
+kilogram يعني
+
+275
+00:32:02,790 --> 00:32:12,390
+ال MR معطيني متين و خمسين kilogram when
+
+276
+00:32:12,390 --> 00:32:15,090
+the crank has traveled six degrees from inner dead
+
+277
+00:32:15,090 --> 00:32:19,870
+center theta بالساوة
+
+278
+00:32:19,870 --> 00:32:29,830
+ستين درجةالاختلاف بين السرعات والدراجات والدراجات
+
+279
+00:32:29,830 --> 00:32:32,650
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+280
+00:32:32,650 --> 00:32:33,530
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+281
+00:32:33,530 --> 00:32:33,830
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+282
+00:32:33,830 --> 00:32:33,870
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+283
+00:32:33,870 --> 00:32:35,650
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+284
+00:32:35,650 --> 00:32:40,290
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+285
+00:32:40,290 --> 00:32:40,350
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+286
+00:32:40,350 --> 00:32:42,910
+والدراجات والدراجات والدراجات والدراجات والدراجات
+
+287
+00:32:42,910 --> 00:32:43,090
+والدراج
+
+288
+00:32:47,170 --> 00:32:52,070
+القطر التواصل بين مركزها هو 1.2 متر طول الـ
+
+289
+00:32:52,070 --> 00:33:00,550
+connecting road واحد اتنين وعشرة متر الـ
+
+290
+00:33:00,550 --> 00:33:07,330
+cylinder bore اللي هو القطر ال cylinder اللي هو نص
+
+291
+00:33:07,330 --> 00:33:14,010
+متر اذا
+
+292
+00:33:14,010 --> 00:33:18,050
+كانت السيارة تعمل في 250 ربيامالانجين الان بتاعة
+
+293
+00:33:18,050 --> 00:33:25,570
+الانجين متين و خمسين rpm and
+
+294
+00:33:25,570 --> 00:33:29,450
+if the effects of piston rod is neglected ال
+
+295
+00:33:29,450 --> 00:33:36,090
+piston rod اللي هو من جهة ال connecting rod قطره
+
+296
+00:33:36,090 --> 00:33:43,030
+تم اهمله بدك تحسب piston effort العكس هذا ال
+
+297
+00:33:43,030 --> 00:33:43,750
+piston effort
+
+298
+00:33:46,530 --> 00:33:50,610
+هو ال net force along the line of stroke عبارة عن
+
+299
+00:33:50,610 --> 00:34:02,930
+ال fl minus او زائد ال inertia force اللي
+
+300
+00:34:02,930 --> 00:34:06,970
+هو حط راح منها كمان minus ال friction على فرض تم
+
+301
+00:34:06,970 --> 00:34:13,550
+هم ال friction هاي ال piston effort نرجعلها minus
+
+302
+00:34:13,550 --> 00:34:19,430
+ال friction horizontal minusالـ RF لـ friction
+
+303
+00:34:19,430 --> 00:34:30,690
+الان ال load FL هتكون سواء باي على أربعة مساحة
+
+304
+00:34:30,690 --> 00:34:41,150
+المقطع دي تربيع في delta P يكون باي على أربعة في
+
+305
+00:34:41,150 --> 00:34:50,080
+دي تربيع في point خمسةتربية في
+
+306
+00:34:50,080 --> 00:35:04,060
+دلتا بيبون تلاتة خمسة في عشرة وستة
+
+307
+00:35:04,060 --> 00:35:08,200
+يعني
+
+308
+00:35:08,200 --> 00:35:12,720
+باي على أربعة فيبون
+
+309
+00:35:12,720 --> 00:35:15,280
+خمسة
+
+310
+00:35:19,940 --> 00:35:31,360
+تقريبا تلاتة خمسة بيطلع
+
+311
+00:35:31,360 --> 00:35:38,900
+تمانية وستين ألف تمانية وستين ألف وستمية
+
+312
+00:35:38,900 --> 00:35:42,540
+و تمانية تمانين نيوتن
+
+313
+00:35:47,870 --> 00:35:58,390
+الـ F ال inertia force بالساوية م R أميجا سكوير R
+
+314
+00:35:58,390 --> 00:36:10,570
+في cos θ زاد cos 2 θ على N ال م R أنا عندي 250
+
+315
+00:36:10,570 --> 00:36:24,620
+معروفة الأميجا هتكون عندي 250اتنين باي على ستين
+
+316
+00:36:24,620 --> 00:36:36,960
+تطلع
+
+317
+00:36:36,960 --> 00:36:44,500
+ستة وعشرين point واحد سبعة radian per second هذا
+
+318
+00:36:44,500 --> 00:36:54,240
+ال omegaال R ماعطينيها تلاتمية ملي ال N اللي هي L
+
+319
+00:36:54,240 --> 00:37:00,740
+على R ال L ماعطينيها واحد و اتنين من عشرة وال R
+
+320
+00:37:00,740 --> 00:37:08,200
+تلاتة من عشرة يعني أربعة ال N المنطق
+
+321
+00:37:08,200 --> 00:37:15,600
+ال FI هتكون ال MR اللي هي متين و خمسين
+
+322
+00:37:18,790 --> 00:37:22,270
+في الـ omega اللي هي ستة وعشرين point واحد سبعة
+
+323
+00:37:22,270 --> 00:37:33,050
+تربية في ال R اللي هي point تلاتة في cosine الستين
+
+324
+00:37:33,050 --> 00:37:40,710
+زائد cosine المية وعشرين على أربعة
+
+325
+00:37:51,140 --> 00:38:09,500
+هتكون عند مئتين و خمسين بتطلع
+
+326
+00:38:09,500 --> 00:38:13,920
+تسعتاشر الف و
+
+327
+00:38:13,920 --> 00:38:21,200
+متين و اتنين و ستينالنيوتن هذه ال energy force
+
+328
+00:38:21,200 --> 00:38:31,320
+طبعا هنا let assume ان رف مهملة تقريبا بالساعة سفر
+
+329
+00:38:31,320 --> 00:38:38,940
+معناته ال piston effort هي ساوي ال fl اللي هو
+
+330
+00:38:38,940 --> 00:38:45,600
+تمانية و ستين الف و ستمية و تمانية و تمانينالان
+
+331
+00:38:45,600 --> 00:38:48,680
+احنا ستين درجة في المصدر المعناته x درجة ماهي تكون
+
+332
+00:38:48,680 --> 00:38:53,520
+minus هنتراح minus ستة عشر الف اتنين ستة اتنين
+
+333
+00:38:53,520 --> 00:38:58,940
+يعني هتكون piston effort تمانية
+
+334
+00:38:58,940 --> 00:39:04,880
+ستين الف ستة تمانية تمانية ماعكس ستة عشر الف اتنين
+
+335
+00:39:04,880 --> 00:39:11,440
+ستة اتنين تطلع تسعة و عربين الف اربعمية و ستة و
+
+336
+00:39:11,440 --> 00:39:13,380
+عشرين نيوتر هذا ال piston effort
+
+337
+00:39:22,400 --> 00:39:30,640
+بدو ال thrust in connecting rod يعني بده FQ FQ
+
+338
+00:39:30,640 --> 00:39:37,380
+بيساوة
+
+339
+00:39:37,380 --> 00:39:41,460
+FB على cos ف
+
+340
+00:39:51,420 --> 00:40:00,340
+بس احنا بنعرف صين الفاى بصواه صين ثيتا على ان يعني
+
+341
+00:40:00,340 --> 00:40:04,180
+صين
+
+342
+00:40:04,180 --> 00:40:15,360
+الستين على أربعة ومنها بحسب الثيتا
+
+343
+00:40:15,360 --> 00:40:18,360
+بحسب الثيتا
+
+344
+00:40:25,060 --> 00:40:26,460
+مش عارف كده
+
+345
+00:41:13,570 --> 00:41:19,650
+طيب طيب بحسب منها ال theta بعد .. بحسب ال .. ال ..
+
+346
+00:41:19,650 --> 00:41:26,850
+بحسب ال five مش ال theta منها بحسب ال five بعد
+
+347
+00:41:26,850 --> 00:41:31,650
+بحسب ال F cube اذا و F P على cosine ال five F cube
+
+348
+00:41:31,650 --> 00:41:35,730
+اذا و F P على cosine ال five بدنا نحسب ال
+
+349
+00:41:35,730 --> 00:41:39,690
+tangential force ال F T ال F T
+
+350
+00:41:50,000 --> 00:41:59,520
+الـ FT هاي معادلة الـ FT ال
+
+351
+00:41:59,520 --> 00:42:05,580
+FT اللي هي F بالساوية FP
+
+352
+00:42:05,580 --> 00:42:08,820
+SIN
+
+353
+00:42:08,820 --> 00:42:19,830
+ثتا زائد فيعلى cosine في أنا عارف ال FB وعارف ال
+
+354
+00:42:19,830 --> 00:42:23,650
+theta اللي هي شتين وعارف ال في اللي حسبته بحسب ال
+
+355
+00:42:23,650 --> 00:42:35,390
+FT و بعدين بده ال torque T بسوء R في ال FT بسوء R
+
+356
+00:42:35,390 --> 00:42:39,800
+في ال FTالـ crank and connecting rod of a petrol
+
+357
+00:42:39,800 --> 00:42:45,300
+engine turning at 1800 rpm عند ال petrol engine
+
+358
+00:42:45,300 --> 00:42:53,800
+سرعة المحرك تبعته أن الف تمانية دورة في الدقيقة
+
+359
+00:42:53,800 --> 00:43:02,040
+ماتين طول ال crank ال R خمسين ميلي وطول ال
+
+360
+00:43:02,040 --> 00:43:08,560
+connecting rod الفتين ميلي متريعني automatic هحسب
+
+361
+00:43:08,560 --> 00:43:15,760
+للان بالساوية L على R اللي هي 200 على 50 بالساوية
+
+362
+00:43:15,760 --> 00:43:19,420
+أربعة The
+
+363
+00:43:19,420 --> 00:43:22,780
+diameter of the piston is eighty millimeters قطر
+
+364
+00:43:22,780 --> 00:43:31,820
+ال piston دي بالساوية تمانين مليمتر The mass of
+
+365
+00:43:31,820 --> 00:43:37,860
+reciprocating parts is one kilogram ال MRمسا واحد
+
+366
+00:43:37,860 --> 00:43:43,620
+point او كيلو gram at a point during the power
+
+367
+00:43:43,620 --> 00:43:48,720
+stroke في لحظة في ال power stroke pressure in
+
+368
+00:43:48,720 --> 00:43:51,500
+piston is point سبعة نيوتن ع ال millimeter square
+
+369
+00:43:51,500 --> 00:43:56,200
+pressure on piston كان ده ال pressure على ال
+
+370
+00:43:56,200 --> 00:43:56,540
+piston
+
+371
+00:44:02,290 --> 00:44:14,050
+البشر P بالسبب هو سبعة أميجا باسكالة When it has
+
+372
+00:44:14,050 --> 00:44:17,410
+moved ten millimeters from inner dead center يعني
+
+373
+00:44:17,410 --> 00:44:23,310
+اتحرك من مسافة عشرة مليمتر يعني X بالساوية عشرة
+
+374
+00:44:23,310 --> 00:44:28,890
+مليمتر Determine
+
+375
+00:44:28,890 --> 00:44:36,880
+net load on GadjonPin بدك تحسر يعني بدك تحسر ال
+
+376
+00:44:36,880 --> 00:44:47,820
+piston effort بدك تحسر ال piston effort هذا
+
+377
+00:44:47,820 --> 00:44:48,520
+المطلوب الأول
+
+378
+00:44:54,500 --> 00:44:57,300
+حكينا ال piston effort هو ال net load ال piston
+
+379
+00:44:57,300 --> 00:45:05,500
+effort ال F P بيستوى F L minus او زاد ال inertia
+
+380
+00:45:05,500 --> 00:45:11,460
+force minus ال friction force let us assume ان ال
+
+381
+00:45:11,460 --> 00:45:19,880
+R F تقريبا is neglected، zero معناته هتصير هذه F L
+
+382
+00:45:19,880 --> 00:45:23,560
+minus or plus ال inertia force
+
+383
+00:45:29,220 --> 00:45:35,720
+طيب ال fl هتكون سواء مساحة مقطع ال piston باي على
+
+384
+00:45:35,720 --> 00:45:41,580
+أربع دي square في ال pressure يعني هتكون ان ال باي
+
+385
+00:45:41,580 --> 00:45:48,440
+على أربع في دي القطر
+
+386
+00:45:48,440 --> 00:45:54,600
+التمانين millimeter في تمانين تربية في bond سبعة
+
+387
+00:45:55,940 --> 00:46:04,860
+عسبنا الأفقال يعني
+
+388
+00:46:04,860 --> 00:46:18,540
+عندي five على أربعة تطلع
+
+389
+00:46:18,540 --> 00:46:23,920
+تلت تلاف وخمسمية وسبعتاشر تلت تلاف وخمسمية
+
+390
+00:46:23,920 --> 00:46:31,210
+وسبعتاشرا نيوتن ال
+
+391
+00:46:31,210 --> 00:46:40,370
+inertia force FI او يعني ال FI ال FI بالساوية MR
+
+392
+00:46:40,370 --> 00:46:50,910
+في omega square R في cosine theta زائد cosine two
+
+393
+00:46:50,910 --> 00:46:59,360
+theta على Nلأن أنا ثتا مش عارفها بس عارف X ال X
+
+394
+00:46:59,360 --> 00:47:04,440
+عنديه شو الساوي من X بقى أحسب الثتا ال X بالساوي R
+
+395
+00:47:04,440 --> 00:47:17,680
+في واحد minus cosine theta زاد sin تربيع ثتا على
+
+396
+00:47:17,680 --> 00:47:32,350
+اتنين N ال X عنديها كام؟عشرة و ال R خمسين خمسين
+
+397
+00:47:32,350 --> 00:47:37,930
+في واحد
+
+398
+00:47:37,930 --> 00:47:46,470
+minus cosine theta زاد sin تربيع theta على اتنين
+
+399
+00:47:46,470 --> 00:47:51,190
+في ان ان اللي هي اكمل حسب الله اربعة
+
+400
+00:48:00,700 --> 00:48:04,240
+خلّيني أبسطها عشرة على خمسة اتنين من عشرة اتنين من
+
+401
+00:48:04,240 --> 00:48:18,100
+عشرة بتساوي واحد minus cosine theta زائد bond bond
+
+402
+00:48:18,100 --> 00:48:27,200
+واحد اتنين خمسة في ال sine تربيه عبارة عن واحد
+
+403
+00:48:27,200 --> 00:48:33,470
+ناقص cosine تربيه في واحدminus cosine تربية theta
+
+404
+00:48:33,470 --> 00:48:36,810
+خلّى
+
+405
+00:48:36,810 --> 00:48:43,730
+أجيب الواحد على الجهة التانية بالسيران
+
+406
+00:48:43,730 --> 00:48:49,630
+دي point two بالسيران دي minus point eight أو أجيب
+
+407
+00:48:49,630 --> 00:48:56,390
+الاتنين هنا بالسيران دي point تمانية
+
+408
+00:48:58,100 --> 00:49:10,300
+minus cosine theta زائد point واحد اتنين خمسة ناقص
+
+409
+00:49:10,300 --> 00:49:20,040
+point واحد اتنين خمسة cosine تربيع theta بالساوة
+
+410
+00:49:20,040 --> 00:49:20,380
+صفر
+
+411
+00:49:27,800 --> 00:49:37,240
+يعني هتصير عندى point تسعة اتنين خمسة minus cosine
+
+412
+00:49:37,240 --> 00:49:47,740
+theta minus point واحد اتنين خمسة cosine تربيع
+
+413
+00:49:47,740 --> 00:49:54,790
+theta بالساوية صفر بدي اقسم على minus واحدأو
+
+414
+00:49:54,790 --> 00:49:58,150
+خلّيني أضرب في تمانية بدي أضرب في تمانية الطرفين
+
+415
+00:49:58,150 --> 00:50:02,830
+عشان أبسط هضرب طرفين في تمانية في سالب تمانية
+
+416
+00:50:02,830 --> 00:50:09,690
+هزران دي cosine تربيع يعني هضربها في سالب تمانية
+
+417
+00:50:09,690 --> 00:50:16,510
+هزران دي cosine تربيع theta زائد
+
+418
+00:50:16,510 --> 00:50:19,190
+تمانية
+
+419
+00:50:20,830 --> 00:50:39,550
+cos θ minus minus
+
+420
+00:50:39,550 --> 00:50:46,790
+7.4 بالساوية
+
+421
+00:50:46,790 --> 00:50:47,810
+سفر
+
+422
+00:50:50,340 --> 00:50:57,560
+يعني cos θ هذه
+
+423
+00:50:57,560 --> 00:51:03,660
+كأنها معادلة على شكل x تربيه زائد بي في x x تربيه
+
+424
+00:51:03,660 --> 00:51:06,240
+زائد بي في x زائد c بالساوية constant المعنى أن
+
+425
+00:51:06,240 --> 00:51:16,460
+cos θ هتكون تساوي minus تمانية زائد أو ناقص الجزر
+
+426
+00:51:16,460 --> 00:51:17,220
+التربيعي
+
+427
+00:51:20,460 --> 00:51:33,640
+لأربع و ستين زائد لأربع
+
+428
+00:51:33,640 --> 00:51:46,240
+و ستين زائد أربعة في سبع point أربعة كله على اتنين
+
+429
+00:51:52,680 --> 00:51:58,200
+طبعا ال minus مرفوضة لأنها تجعل ال cosine أكتر من
+
+430
+00:51:58,200 --> 00:52:06,260
+واحد وهذا مستحيل ال minus sign is rejected لأنها
+
+431
+00:52:06,260 --> 00:52:12,540
+تجعل ال cosine أكتر من واحد كميتها
+
+432
+00:52:12,540 --> 00:52:17,060
+أكتر من واحد معناته ال cosine تترحب بين minus واحد
+
+433
+00:52:17,060 --> 00:52:20,200
+و واحد مستحيل معناته هتكون plus معناته هتكون
+
+434
+00:52:20,200 --> 00:52:30,670
+cosine thetaهتكون تساوي minus تمانية زاد الجزر
+
+435
+00:52:30,670 --> 00:52:35,130
+التربيعي للاربعة وستين زاد اربعة في سبعة واربعة
+
+436
+00:52:35,130 --> 00:52:37,850
+على اتنين زاد جزر التربيعي
+
+437
+00:52:55,080 --> 00:53:00,960
+زي اجازة تربية لتلات سنين بونت
+
+438
+00:53:00,960 --> 00:53:13,680
+ستة على اتنين هعدل كسان ثتا ومنها بقى احسب الثتا
+
+439
+00:53:13,680 --> 00:53:21,320
+منها بقى احسب الثتا once ال theta is calculated
+
+440
+00:53:23,730 --> 00:53:29,110
+once theta is calculated بقدر ايش احسب ال fi
+
+441
+00:53:29,110 --> 00:53:39,290
+معناته حسير عندي حسير
+
+442
+00:53:39,290 --> 00:53:43,910
+عندي ال fi اللي
+
+443
+00:53:43,910 --> 00:53:48,730
+هي بتسوي ال mr عندي واحد
+
+444
+00:53:48,730 --> 00:53:52,010
+في
+
+445
+00:53:52,010 --> 00:53:52,470
+ال omega
+
+446
+00:53:55,750 --> 00:54:06,390
+الامجا احنا ما حسبناش الامجا بساوي
+
+447
+00:54:06,390 --> 00:54:18,550
+الف تونمية في اتنين باي ع ستين الف
+
+448
+00:54:18,550 --> 00:54:26,590
+تونميةفي اتنين في باي تقسيم ستين تطلع مية و تمانية
+
+449
+00:54:26,590 --> 00:54:31,750
+و تمانين point four رديان
+
+450
+00:54:31,750 --> 00:54:38,130
+لكل second يعني ال FI هتكون في مية و تمانية و
+
+451
+00:54:38,130 --> 00:54:42,550
+تمانين point four تربيع
+
+452
+00:54:42,550 --> 00:54:49,030
+في ال R ال R عندى خمسين في point O
+
+453
+00:54:51,920 --> 00:54:56,320
+خمسة في cosine theta اللي انا حسبت من هنا في
+
+454
+00:54:56,320 --> 00:55:06,520
+cosine theta زائد cosine two theta على
+
+455
+00:55:06,520 --> 00:55:12,400
+n اللي هي اياش n اربعة على اربعة ومنها بحسب ال
+
+456
+00:55:12,400 --> 00:55:15,640
+inertia force ال inertia force
+
+457
+00:55:18,520 --> 00:55:24,600
+بس خليني بدي انا احسب ال theta عشان
+
+458
+00:55:24,600 --> 00:55:26,120
+اعرف حالي انا وين
+
+459
+00:55:47,440 --> 00:55:53,960
+المعادلة اللي عندي اللي هو جزر 93.6 ناقص 8 على 2
+
+460
+00:55:53,960 --> 00:55:59,960
+جزر 93 93
+
+461
+00:55:59,960 --> 00:56:04,560
+.6 تحت
+
+462
+00:56:04,560 --> 00:56:14,590
+الجزر ناقص 8 على 2تطلع cos θ بتساوي point تمانية
+
+463
+00:56:14,590 --> 00:56:21,050
+تلاتة سبعة أربعة point تمانية تلاتة point تمانية
+
+464
+00:56:21,050 --> 00:56:24,170
+cos
+
+465
+00:56:24,170 --> 00:56:30,490
+θ تطلع point تمانية تلاتة
+
+466
+00:56:30,490 --> 00:56:35,750
+سبعة أربعة هذا
+
+467
+00:56:35,750 --> 00:56:36,450
+هو cos θ
+
+468
+00:56:44,750 --> 00:56:46,670
+هتكون صغيرة ثتا
+
+469
+00:58:00,570 --> 00:58:07,170
+أنا عندي point zero point تمانية تلاتة سبعة أربعة
+
+470
+00:58:07,170 --> 00:58:14,390
+اللي هو cosine inverse تطلع
+
+471
+00:58:14,390 --> 00:58:17,910
+تلاتة و تلاتين point تلتاش تلاتة و تلاتين theta
+
+472
+00:58:17,910 --> 00:58:25,350
+تلاتة و تلاتين point تلتاشر degree يعني انا هسير
+
+473
+00:58:25,350 --> 00:58:33,590
+عندي هنا في cosine في cosineتلات تلاتين bond تلات
+
+474
+00:58:33,590 --> 00:58:39,170
+تاش زاد cosine ستة
+
+475
+00:58:39,170 --> 00:58:47,430
+ستة ستة عشرين degree على على
+
+476
+00:58:47,430 --> 00:58:50,930
+N على أربع
+
+477
+00:58:50,930 --> 00:58:53,030
+يعني انا هكون عندي ال FI
+
+478
+00:59:04,420 --> 00:59:10,020
+تلتاش كو ساين زائد
+
+479
+00:59:32,050 --> 00:59:39,410
+طيب المهم فبحسب ال fi مضطر إلها قيمة بعدين هحسب
+
+480
+00:59:39,410 --> 00:59:42,830
+piston effort في الحالة هذه أنا معناته I am
+
+481
+00:59:42,830 --> 00:59:45,870
+accelerating معناته هتكون piston effort هتكون fl
+
+482
+00:59:45,870 --> 00:59:55,530
+minus ال fi هي حسبنا ال piston effort حسبنا ال
+
+483
+00:59:55,530 --> 00:59:56,450
+piston effort
+
+484
+01:00:05,020 --> 01:00:16,280
+هذا المطلوب الأول المطلوب التاني ال trust
+
+485
+01:00:16,280 --> 01:00:25,260
+in connecting rods يعني بده FQ FQ بس هو FP على
+
+486
+01:00:25,260 --> 01:00:31,420
+cosine الفاى sine الفاى
+
+487
+01:00:33,910 --> 01:00:42,630
+بساوى sin θ على n يعني هتكون ساوى sin الـ 33 بقون
+
+488
+01:00:42,630 --> 01:00:49,530
+13 على n اللي هي أربعة و منها بحسب الفاي بعدين
+
+489
+01:00:49,530 --> 01:00:51,890
+بحسب ال FQ
+
+490
+01:00:59,380 --> 01:01:03,660
+بدو reaction between piston and .. reaction
+
+491
+01:01:03,660 --> 01:01:07,640
+between piston and cylinder reaction between
+
+492
+01:01:07,640 --> 01:01:11,500
+piston and cylinder لان نروح لل free body diagram
+
+493
+01:01:11,500 --> 01:01:23,260
+بدو reaction between piston and cylinder انا
+
+494
+01:01:23,260 --> 01:01:28,020
+عندي هاي ال piston هاي
+
+495
+01:01:28,020 --> 01:01:28,880
+ال piston effort
+
+496
+01:01:31,730 --> 01:01:37,230
+و هاي ال
+
+497
+01:01:37,230 --> 01:01:51,210
+F ال FQ و في عندها FN و عندها ال W Reciprocating
+
+498
+01:02:01,580 --> 01:02:07,300
+لو خدت summation هاي ال X هاي ال Y حد كدت
+
+499
+01:02:07,300 --> 01:02:13,640
+summation لل forces باتجاه ال Y هتساوي Zero هتساوي
+
+500
+01:02:13,640 --> 01:02:24,300
+باتجاه ال Y هتكون FN minus WR minus FQ
+
+501
+01:02:40,910 --> 01:02:48,150
+WR FQ SIN 5
+
+502
+01:03:01,420 --> 01:03:09,140
+يعني WR هي MR في G زي FQ هي برعن Piston Effort FP
+
+503
+01:03:09,140 --> 01:03:15,240
+رودي حسبناها يعني مش ده .. هخليها زي ما هي FQ SINE
+
+504
+01:03:15,240 --> 01:03:19,920
+الفاي انا رودي عارف ال mass بتاعة ال MR وال G
+
+505
+01:03:19,920 --> 01:03:26,080
+معروفة ال FQ حسبناها والفاي معروفة طيب
+
+506
+01:03:30,070 --> 01:03:33,790
+المطلوب الرابع engine speed at which the above
+
+507
+01:03:33,790 --> 01:03:39,830
+values become zero سرعة المحرك .. سرعة المحرك ال
+
+508
+01:03:39,830 --> 01:03:49,030
+RPM اللي عندها بتكون ال above values اللي هي net
+
+509
+01:03:49,030 --> 01:03:53,310
+load on Gadget pen اللي هي FP يعني بده .. بده
+
+510
+01:03:53,310 --> 01:03:57,490
+omega at which
+
+511
+01:04:00,530 --> 01:04:10,310
+ف بي بالساوية ايش؟ Zero ببساطة هجحك عندى ف بي
+
+512
+01:04:10,310 --> 01:04:25,230
+بالساوية Zero بالساوية اللى هى هتكون Fl minus Fi
+
+513
+01:04:27,900 --> 01:04:30,440
+يعني هحل المعادلة هذه انا مش عارف ممكن تكون minus
+
+514
+01:04:30,440 --> 01:04:33,180
+او plus مارها هحلها minus و مارها هحلها plus
+
+515
+01:04:33,180 --> 01:04:40,000
+الأفقال احنا عارفينها باي على أربع دي square في ال
+
+516
+01:04:40,000 --> 01:04:46,520
+pressure نحكي assume constant
+
+517
+01:04:46,520 --> 01:04:51,040
+pressure
+
+518
+01:04:51,040 --> 01:04:56,300
+وال
+
+519
+01:04:56,300 --> 01:05:08,180
+F Iاللي هي عبارة عن mr omega square r cos θ زائد
+
+520
+01:05:08,180 --> 01:05:13,640
+cos 2θ على n يعني انا هعوضها فيها اذا حسيب عندي ال
+
+521
+01:05:13,640 --> 01:05:20,020
+zero بالساوية الافقال اللي هي اللي هي محسوب y على
+
+522
+01:05:20,020 --> 01:05:31,340
+اربعة d square P minus mrوميجا سكوار ر في كوسين
+
+523
+01:05:31,340 --> 01:05:41,180
+ثيتا زائد كوسين تو ثيتا على ان solve this equation
+
+524
+01:05:41,180 --> 01:05:46,660
+for theta solve for
+
+525
+01:05:46,660 --> 01:05:47,260
+theta
+
+526
+01:05:55,570 --> 01:06:06,110
+solve for theta اه
+
+527
+01:06:06,110 --> 01:06:12,590
+solve for omega
+
+528
+01:06:12,590 --> 01:06:16,530
+ارجع النظر تحلو التالي ارجع النظر تروحوا على ال
+
+529
+01:06:16,530 --> 01:06:20,990
+math lab go
+
+530
+01:06:20,990 --> 01:06:24,670
+او go او use
+
+531
+01:06:26,310 --> 01:06:32,690
+math lab ار
+
+532
+01:06:32,690 --> 01:06:37,430
+Mathematica
+
+533
+01:06:37,430 --> 01:06:41,350
+حسب
+
+534
+01:06:41,350 --> 01:06:50,890
+ار مابل بيتكرويها ار Mathcad
+
+535
+01:06:54,630 --> 01:07:01,610
+or even excel plot
+
+536
+01:07:01,610 --> 01:07:05,970
+plot
+
+537
+01:07:05,970 --> 01:07:11,230
+plot
+
+538
+01:07:11,230 --> 01:07:16,270
+plot
+
+539
+01:07:16,270 --> 01:07:25,250
+اللي هيالكون ال variables اللي هي ال F T و ال F I
+
+540
+01:07:25,250 --> 01:07:46,870
+و ال F L و ال F Q و ال F B و ال F T versus Theta C
+
+541
+01:07:50,060 --> 01:07:56,320
+how things are
+
+542
+01:07:56,320 --> 01:08:00,220
+going on شوف كيف الأمور ماشية
+
+543
+01:08:11,930 --> 01:08:14,330
+المطلوب الأخير هى ال engine speed at which the
+
+544
+01:08:14,330 --> 01:08:20,850
+above values become zero for
+
+545
+01:08:20,850 --> 01:08:23,850
+the same angle يعني انا هلعب في زاوية اللي .. اللي
+
+546
+01:08:23,850 --> 01:08:26,090
+.. اللي .. اللي حاسير .. اللي حاسير مثلا ال F
+
+547
+01:08:26,090 --> 01:08:31,790
+piston بيصوى F L .. F L minus F I يعني لما ال ..
+
+548
+01:08:31,790 --> 01:08:36,390
+ال piston effort لما ال load بيصوى ال inertia
+
+549
+01:08:36,390 --> 01:08:38,270
+force بصل
+
+550
+01:08:42,480 --> 01:08:50,100
+و بحسب عند نفس الزاوية اللي هي ال omega بس نصيحته
+
+551
+01:08:50,100 --> 01:08:54,420
+use MATLAB او Mathematica مابل ماتكاد اكسر او any
+
+552
+01:08:54,420 --> 01:08:57,860
+software Mathematica software اعمل plot لل FB و FI
+
+553
+01:08:57,860 --> 01:09:03,880
+و FL و FQ و FB و FT versus θ for a certain omega
+
+554
+01:09:03,880 --> 01:09:08,280
+العب في omega كمان العب في omega معيعني .. يعني
+
+555
+01:09:08,280 --> 01:09:12,140
+خلّي two variables عندك Omega وTheta وشوف كيف
+
+556
+01:09:12,140 --> 01:09:16,060
+الأمور بتمشي معاك ال plotting بيعطيلك more insight
+
+557
+01:09:16,060 --> 01:09:19,200
+في ال .. في ال .. في المثلة و طبعا هذه ال ..
+
+558
+01:09:19,200 --> 01:09:23,260
+الاصلادة كانت لك ميكانزم مسألة مهمة جدا جدا لإنه
+
+559
+01:09:23,260 --> 01:09:27,660
+ال engine في المحرك بتاع ال .. كل المحركات اللي ..
+
+560
+01:09:28,290 --> 01:09:33,930
+اللي بتشتغل بالوقود سواء كان بنزين او ديزل بتشتغل
+
+561
+01:09:33,930 --> 01:09:36,790
+على نفس ال principle هيك بنكون خلصنا ال section
+
+562
+01:09:36,790 --> 01:09:44,050
+هذا يعني انا بشوف المعيد اخدحلكم example ع خمساش
+
+563
+01:09:44,050 --> 01:09:48,550
+عشر خمساش أحداشر خمساش اتناش المحاضرة جاي هنكمل
+
+564
+01:09:48,550 --> 01:09:49,470
+اعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/OFpd2-DTfv4.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/OFpd2-DTfv4.srt
new file mode 100644
index 0000000000000000000000000000000000000000..071b1ed81a88906c38d9df95121cb612d6184e19
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/OFpd2-DTfv4.srt
@@ -0,0 +1,1710 @@
+1
+00:00:04,940 --> 00:00:08,240
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,240 --> 00:00:13,240
+وبركاته اليوم هنستكمل chapter خمسة اللي هي القليات
+
+3
+00:00:13,240 --> 00:00:19,760
+البسيطة. نرجع نراجع المحاضرة الفاتة، تعرفنا على الـ link
+
+4
+00:00:19,760 --> 00:00:23,950
+أو الـ kinematic element، هو الـ link اللي هو كل part
+
+5
+00:00:23,950 --> 00:00:28,030
+من الـ machine اللي بتحرك بالنسبة للـ other parts.
+
+6
+00:00:28,030 --> 00:00:32,890
+عرفنا resistant body هو الجسم القادر على نقل الـ
+
+7
+00:00:32,890 --> 00:00:36,270
+forces بدون ما يصير فيه deformation. الـ link لازم
+
+8
+00:00:36,270 --> 00:00:40,850
+يكون لها خاصيتين: لازم يكون لها حركة نسبية بالنسبة
+
+9
+00:00:40,850 --> 00:00:45,510
+للـ links الثانية، ولازم يكون resistant body. الـ
+
+10
+00:00:45,510 --> 00:00:48,070
+links تجعل ثلاثة أنواع: rigid link, flexible link,
+
+11
+00:00:48,230 --> 00:00:54,360
+fluid link. الـ structure عبارة عن تجميع من الـ .. الـ
+
+12
+00:00:54,360 --> 00:00:57,820
+.. الـ resistant bodies اللي ما فيش بينهم حركة ..
+
+13
+00:00:57,820 --> 00:01:03,210
+حركة للأعضاء بالنسبة للأعضاء الأخرى. عملنا مقارنة
+
+14
+00:01:03,210 --> 00:01:06,750
+بين الـ machine والـ structure. عرفنا الـ pair عبارة
+
+15
+00:01:06,750 --> 00:01:09,570
+عن two links of a machine in contact with each
+
+16
+00:01:09,570 --> 00:01:14,430
+other. الـ kinematic pair، الـ kinematic pair بيكون الـ
+
+17
+00:01:14,430 --> 00:01:17,530
+relative motion between the links is completely or
+
+18
+00:01:17,530 --> 00:01:20,850
+successfully constrained. عرفنا أنواع الحركة
+
+19
+00:01:20,850 --> 00:01:23,830
+المقيدة: في عندي complete constrained motion، في
+
+20
+00:01:23,830 --> 00:01:25,570
+عندي incomplete constrained motion، وعندي
+
+21
+00:01:25,570 --> 00:01:27,190
+successfully constrained motion.
+
+22
+00:01:30,700 --> 00:01:35,620
+عملنا classification of kinematics pairs according
+
+23
+00:01:35,620 --> 00:01:38,880
+to type of relative motion between the elements، أو
+
+24
+00:01:38,880 --> 00:01:41,140
+according to the type of contact between elements،
+
+25
+00:01:41,140 --> 00:01:45,260
+أو according to the type of closure. التصنيف الأول
+
+26
+00:01:45,260 --> 00:01:48,420
+طبقا لنوع الحركة بين الـ elements، اللي هو فيه عندي
+
+27
+00:01:48,420 --> 00:01:51,460
+sliding pair أو prismatic pair، عندي turning pair أو
+
+28
+00:01:51,460 --> 00:01:54,620
+ما يسمى revolute pair، rolling pair، و screw pair، و
+
+29
+00:01:54,620 --> 00:01:57,580
+spherical pair. في according to type of contact يكون
+
+30
+00:01:57,580 --> 00:02:00,420
+عند الـ lower pair، يكون الـ contact along a surface،
+
+31
+00:02:00,420 --> 00:02:04,240
+وفي عند الـ higher pair، يكون الـ contact along a
+
+32
+00:02:04,240 --> 00:02:06,840
+line or a point. في عندي according to type of
+
+33
+00:02:06,840 --> 00:02:09,840
+closure: self closed pair، و force closed pair.
+
+34
+00:02:16,850 --> 00:02:19,610
+الـ kinematic chain، حكينا هي عبارة عن combination
+
+35
+00:02:19,610 --> 00:02:23,290
+of kinematic pairs joined in such a way that each
+
+36
+00:02:23,290 --> 00:02:28,690
+link forms a part of two pairs. الحركة النسبية بين
+
+37
+00:02:28,690 --> 00:02:32,090
+الـ links أو elements in the kinematic chain is
+
+38
+00:02:32,090 --> 00:02:34,470
+completely or successfully constrained.
+
+39
+00:02:39,650 --> 00:02:42,950
+في الـ kinematic chain، إذا هي kinematic chain، لازم
+
+40
+00:02:42,950 --> 00:02:45,670
+يكون عدد الـ links في علاقة بين عدد الـ links والـ
+
+41
+00:02:45,670 --> 00:02:50,590
+number of pairs. الـ P بيساوي 2P - 4، وفي
+
+42
+00:02:50,590 --> 00:02:53,470
+علاقة بين number of links and number of joints J،
+
+43
+00:02:53,470 --> 00:02:56,690
+بيساوي 1.5L - 2. طبعا المعادلة هذه
+
+44
+00:02:56,690 --> 00:03:00,470
+والمعادلة السابقة تنطبق في حالة الـ lower pairs.
+
+45
+00:03:05,000 --> 00:03:09,300
+طبعا each higher pair يعادل two lower pairs plus a
+
+46
+00:03:09,300 --> 00:03:17,140
+link. حلينا مجموعة من الأمثلة. الآن، اتعرفنا على
+
+47
+00:03:17,140 --> 00:03:20,640
+الأنواع الـ joints: في عندي binary joints، يعني بيكون
+
+48
+00:03:20,640 --> 00:03:24,670
+عندي two links joined at the same point. في عندي
+
+49
+00:03:24,670 --> 00:03:28,050
+وصلات ثلاثية، بيكون ثلاثة links joined at the same
+
+50
+00:03:28,050 --> 00:03:34,510
+point. وفي عندي وصلات ربعية، بتكون عند النقطة الواحدة
+
+51
+00:03:34,510 --> 00:03:39,970
+موصل أربعة ... أربعة links. طبعا في حالة الـ .. الـ ..
+
+52
+00:03:39,970 --> 00:03:46,620
+الـ .. الـ .. الوصلات الثلاثية، بيكون عندي كل وصلة
+
+53
+00:03:46,620 --> 00:03:52,080
+ثلاثية تعادل اثنين وصلة ثنائية، وكل وصلة
+
+54
+00:03:52,080 --> 00:03:56,500
+رباعية تعادل ثلاث وصلة ثنائية. حلينا مجموعة من الأمثلة.
+
+55
+00:03:56,500 --> 00:03:59,920
+اتعرفنا
+
+56
+00:03:59,920 --> 00:04:02,280
+على الـ mechanism. حكينا الـ mechanism هي، الـ mechanism هي
+
+57
+00:04:02,280 --> 00:04:06,640
+عبارة عن kinematic chain in which one of the links is
+
+58
+00:04:06,640 --> 00:04:11,880
+fixed. الـ mechanism is used for transmitting or
+
+59
+00:04:11,880 --> 00:04:13,840
+transformation of motion.
+
+60
+00:04:17,430 --> 00:04:20,010
+أعرفنا degrees of freedom، هي number of input
+
+61
+00:04:20,010 --> 00:04:22,890
+parameters which must be independently controlled
+
+62
+00:04:22,890 --> 00:04:24,950
+in order to bring the mechanism into a useful
+
+63
+00:04:24,950 --> 00:04:28,870
+engineering purpose. اتعرفنا على مجموعة من الأمثلة، الـ
+
+64
+00:04:28,870 --> 00:04:31,890
+four bar linkage is one degree of freedom system، و
+
+65
+00:04:31,890 --> 00:04:35,970
+five linkages is two degrees of freedom system.
+
+66
+00:04:35,970 --> 00:04:40,850
+طبعا في علاقة بين number of degrees of freedom،
+
+67
+00:04:43,450 --> 00:04:46,470
+والـ number of links، والـ number of joints. الـ N هي
+
+68
+00:04:46,470 --> 00:04:48,770
+number of degrees of freedom، بتساوي 3L - 1 - 2J - H. الـ N هي
+
+69
+00:04:48,770 --> 00:04:52,790
+degrees of freedom، L هي number of links، J هي number of lower
+
+70
+00:04:52,790 --> 00:04:55,910
+pairs joints، و الـ H هي number of higher pairs. هذا
+
+71
+00:04:55,910 --> 00:05:01,550
+تسمى Kutzbach criterion for mobility of a
+
+72
+00:05:01,550 --> 00:05:04,430
+mechanism in plane motion. حللنا يا جماعة مجموعة من الأمثلة
+
+73
+00:05:14,870 --> 00:05:20,270
+لحد هنا وصلنا. في شيء اسمه ما يسمى Gruebler's
+
+74
+00:05:20,270 --> 00:05:25,650
+criterion for plane mechanism. المعادلة
+
+75
+00:05:25,650 --> 00:05:32,630
+السابقة اللي هي N بتساوي
+
+76
+00:05:32,630 --> 00:05:40,410
+3L - 1 - 2J - H.
+
+77
+00:05:43,710 --> 00:05:48,490
+في حالة mechanisms with lower pairs، بيصير الآن
+
+78
+00:05:48,490 --> 00:05:51,530
+mechanism with lower pairs، يعني أكثر شيء شائع.
+
+79
+00:05:51,530 --> 00:05:56,610
+بيصير 3L - 1 - 2J.
+
+80
+00:06:05,520 --> 00:06:09,460
+الآن Gruebler's criterion applies to mechanisms
+
+81
+00:06:09,460 --> 00:06:11,860
+with only single degrees of freedom. يعني بتكون الآن
+
+82
+00:06:11,860 --> 00:06:18,160
+بتساوي واحد، و no higher pairs. يعني الآن بتساوي
+
+83
+00:06:18,160 --> 00:06:23,720
+واحد. بتساوي 3L - 1 - 2J.
+
+84
+00:06:23,720 --> 00:06:28,580
+خلينا نفكر، حسينا إن واحد بتساوي 3L -
+
+85
+00:06:28,580 --> 00:06:36,310
+3 - 2J. يعني أنا عندي 3L -
+
+86
+00:06:36,310 --> 00:06:45,210
+2J - 4 بتساوي صفر. هذه بيسميها
+
+87
+00:06:45,210 --> 00:06:50,070
+Gruebler's criteria for plane mechanisms with one
+
+88
+00:06:50,070 --> 00:06:56,030
+degree of freedom. Gruebler's
+
+89
+00:06:56,030 --> 00:06:59,210
+criteria for one degree of freedom systems بتحكي
+
+90
+00:06:59,210 --> 00:07:07,200
+التالي: لا يمكن أن يكون عدد الـ links فردي. لا يمكن
+
+91
+00:07:07,200 --> 00:07:13,200
+أن يكون عدد الـ links فردي. خلينا نحاول نبسط
+
+92
+00:07:13,200 --> 00:07:18,720
+المعادلة هذه. حسنًا، دي 2J بتساوي 3L -
+
+93
+00:07:18,720 --> 00:07:24,880
+4. يعني J بتساوي 1.5L -
+
+94
+00:07:24,880 --> 00:07:30,220
+2.  نجرب عدد الـ links فردي. هاي الـ
+
+95
+00:07:33,550 --> 00:07:38,370
+L، وJ. نبدأ من ثلاثة. إذا number of links ثلاثة، 1.5
+
+96
+00:07:38,370 --> 00:07:42,730
+في ثلاثة، 4.5 - 2، 2.5.  زوجي: أربعة. 1.5 في أربعة، ستة - 2، أربعة.
+
+97
+00:07:42,730 --> 00:07:52,450
+الان في حالة عدد الـ links فردي، جربوا أرقام ثانية
+
+98
+00:07:52,450 --> 00:07:59,560
+بيطلع عدد joints 2.5. ما فيش اسمه 2.5
+
+99
+00:07:59,560 --> 00:08:02,940
+joints. في عندي بيكون ثلاثة joints، أربعة joints، خمسة
+
+100
+00:08:02,940 --> 00:08:05,700
+joints. بيكون عدد صحيح. معناته for a planar
+
+101
+00:08:05,700 --> 00:08:13,280
+mechanism with one degree of freedom system and no
+
+102
+00:08:13,280 --> 00:08:16,860
+higher pairs، Gruebler's criteria بتحكي: لا يمكن أن يكون
+
+103
+00:08:16,860 --> 00:08:23,570
+عدد الـ links فردي، لازم يكون زوجي. الآن، الـ most simple
+
+104
+00:08:23,570 --> 00:08:26,510
+mechanisms اللي هي عندي الـ four bar linkage، و الـ
+
+105
+00:08:26,510 --> 00:08:31,270
+slider crank mechanism. هي
+
+106
+00:08:31,270 --> 00:08:36,150
+أبسط الآليات الموجودة، اللي هي الـ four bar linkage،
+
+107
+00:08:36,150 --> 00:08:44,590
+والـ slider crank mechanism. هندرس
+
+108
+00:08:44,590 --> 00:08:49,330
+في الـ chapter هذا اللي هو الـ four bar linkage، و
+
+109
+00:08:49,330 --> 00:08:52,710
+single slider crank mechanism، و double slider
+
+110
+00:08:52,710 --> 00:08:58,290
+crank mechanism. سنبدأ
+
+111
+00:08:58,290 --> 00:08:59,510
+بالـ four bar linkage.
+
+112
+00:09:20,650 --> 00:09:26,010
+هذه الـ link واحد، هذه الـ link اثنين، link ثلاثة، link
+
+113
+00:09:26,010 --> 00:09:34,970
+أربعة. هذه نقطة A، B، C، و D. وهنا عندي joint، وهنا
+
+114
+00:09:34,970 --> 00:09:41,050
+عندي joint. الآن،
+
+115
+00:09:41,050 --> 00:09:45,970
+عندي Grashof's law for a four bar mechanism، بيحكي
+
+116
+00:09:45,970 --> 00:09:46,490
+التالي:
+
+117
+00:09:49,460 --> 00:09:54,080
+عشان الـ crank اللي هي الـ driving link تعمل
+
+118
+00:09:54,080 --> 00:09:57,880
+complete rotation، تعمل complete rotation، دورة
+
+119
+00:09:57,880 --> 00:10:04,040
+كاملة، لازم يكون مجموع أقصر الـ link وأطول الـ link
+
+120
+00:10:04,040 --> 00:10:10,100
+أقل من الـ remaining two other links. يعني خلينا نحط
+
+121
+00:10:10,100 --> 00:10:17,440
+أطول، مثلًا لو كانت هذه 100، هذه
+
+122
+00:10:17,440 --> 00:10:27,120
+50، هذه 120، وهذه 80. أقصر link إيش؟ يا
+
+123
+00:10:27,120 --> 00:10:36,340
+50، وأطول link 120. 50 + 120
+
+124
+00:10:36,340 --> 00:10:45,740
+الـ shortest + الـ longest
+
+125
+00:10:45,740 --> 00:10:46,300
+الـ longest.
+
+126
+00:10:49,720 --> 00:10:56,400
+اللي هي عندي 50 + 120، يعني 170. الـ remaining، الـ other، sum of the
+
+127
+00:11:02,160 --> 00:11:06,440
+remainder المتبقي
+
+128
+00:11:06,440 --> 00:11:14,980
+هيكون عندي اللي هي 100 + 80. 100 +
+
+129
+00:11:14,980 --> 00:11:20,060
+80 بيساوي 180. لاحظوا مجموع الـ
+
+130
+00:11:20,060 --> 00:11:23,880
+shortest + الـ longest، أقل من الـ remainder. يعني
+
+131
+00:11:23,880 --> 00:11:29,660
+170 أقل من 180. معناته ممكن الـ
+
+132
+00:11:29,660 --> 00:11:36,480
+link هذه، link أربعة، تدور دورة كاملة، أو الـ link
+
+133
+00:11:36,480 --> 00:11:41,160
+اثنين دورة كاملة، حسب مين فيهم الـ driver، إذا كانت
+
+134
+00:11:41,160 --> 00:11:46,900
+أربعة هي الـ driver، أو اثنين هي الـ driver. طيب،
+
+135
+00:11:46,900 --> 00:11:53,480
+لاحظوا التالي، لو كان العكس .. لو كان العكس .. لو
+
+136
+00:11:53,480 --> 00:11:54,240
+كان العكس،
+
+137
+00:11:58,490 --> 00:12:03,630
+لو كان العكس، مش هتقدر الـ link الـ driver تدور دورة
+
+138
+00:12:03,630 --> 00:12:07,590
+كاملة، مش هتقدر تدور دورة كاملة. خلينا نورجي ..
+
+139
+00:12:07,590 --> 00:12:14,030
+نوري الـ simulation على الجهاز.
+
+140
+00:13:36,350 --> 00:13:44,430
+في مشكلة في الـ player. طيب،
+
+141
+00:13:44,430 --> 00:13:47,870
+على أي حال، أنا الفيديوهات حاططها، الفيديوهات الـ
+
+142
+00:13:47,870 --> 00:13:52,430
+simulation محطوطة على الـ model. تقدر تتفرجوا على الـ
+
+143
+00:13:52,430 --> 00:13:53,870
+model على الـ videos.
+
+144
+00:14:31,560 --> 00:14:36,000
+طيب، نستكمل الميكانيزم الثانية اللي هندرسها اللي هي
+
+145
+00:14:36,000 --> 00:14:41,960
+الـ slider ... الـ single slider crank mechanism. أنا
+
+146
+00:14:41,960 --> 00:14:49,720
+بيكون عندي المقاوم للـ link هذه واحد، هذه الـ crank
+
+147
+00:14:49,720 --> 00:14:57,780
+اثنين. هذه نقطة A، هذه نقطة B، وهذه link ثلاثة، الـ
+
+148
+00:14:57,780 --> 00:15:04,720
+connecting rod. وهذا الـ slider، هذه أربعة. هذه نقطة C.
+
+149
+00:15:04,720 --> 00:15:13,080
+عندما
+
+150
+00:15:13,080 --> 00:15:19,040
+تدور الكرنك، بتسحب معاها الـ connecting rod، والـ
+
+151
+00:15:19,040 --> 00:15:22,860
+connecting rod هيحرك الـ slider، والـ slider مسموح
+
+152
+00:15:22,860 --> 00:15:26,440
+له يتحرك بالاتجاه الأفقي. يعني الـ slider بتحرك
+
+153
+00:15:26,440 --> 00:15:32,180
+حركة خطية، الـ crank بتتحرك حركة دورانية حوالي نقطة
+
+154
+00:15:32,180 --> 00:15:36,700
+A، والـ connecting rod BC بتحرك general plane motion،
+
+155
+00:15:36,700 --> 00:15:40,940
+يعني بتحرك، يعني فيه مركز ثقل، وبينتقل، وبيدور برضه،
+
+156
+00:15:40,940 --> 00:15:43,400
+rotation، يعني فيه translation و rotation.
+
+157
+00:15:47,190 --> 00:15:53,170
+في two extreme positions للـ .. للـ .. للـ slotted
+
+158
+00:15:53,170 --> 00:15:56,330
+crank mechanism. one extreme position عند النقطة
+
+159
+00:15:56,330 --> 00:16:00,110
+هذه. حيبقى
+
+160
+00:16:00,110 --> 00:16:08,870
+عندي الـ mechanism بالشكل هذا. هذا
+
+161
+00:16:08,870 --> 00:16:13,350
+one extreme position. another extreme position لما
+
+162
+00:16:13,350 --> 00:16:16,250
+الـ link يصير  فرد على الآخر، يعني حيبقى عندي النقطة
+
+163
+00:16:16,250 --> 00:16:21,950
+هذه، وتصير مفرودة على الآخر لحد ما تصل للنقطة
+
+164
+00:16:21,950 --> 00:16:25,750
+هذه. هذا
+
+165
+00:16:25,750 --> 00:16:32,290
+الـ position بسميه الـ bottom dead center، وهذا الـ
+
+166
+00:16:32,290 --> 00:16:38,610
+position الـ top dead center، والمسافة بين الـ top
+
+167
+00:16:38,610 --> 00:16:45,710
+dead center والـ bottom dead center هي الـ stroke، الـ
+
+168
+00:16:45,710 --> 00:16:46,130
+stroke.
+
+169
+00:16:51,280 --> 00:16:57,000
+معناته هذه أبعد نقطة ممكن يصلها الـ slider، وهذه أقرب
+
+170
+00:16:57,000 --> 00:17:01,640
+نقطة ممكن يصلها الـ slider، والمسافة بين أبعد نقطة و
+
+171
+00:17:01,640 --> 00:17:07,060
+أقرب نقطة بسميها stroke. لو كان الـ radius
+
+172
+00:17:07,060 --> 00:17:16,900
+للـ crank R، الـ stroke هتكون 2R. الـ stroke هتكون
+
+173
+00:17:16,900 --> 00:17:20,360
+ساوي اثنين R. الـ R هي الـ radius
+
+174
+00:17:24,280 --> 00:17:34,180
+of الكرنك، اللي هي الـ link اثنين. الـ
+
+175
+00:17:34,180 --> 00:17:37,800
+slider crank mechanism تستخدم لتحويل الحركة
+
+176
+00:17:37,800 --> 00:17:43,340
+الدورانية إلى حركة خطية ترددية. إذا كان الـ input
+
+177
+00:17:43,340 --> 00:17:47,020
+عند الكرنك، يعني كان هنا في موتور، وتطبيق هذه
+
+178
+00:17:47,020 --> 00:17:49,680
+مثلًا في حالة الـ compressors. أنا بحط موتور، وأنا
+
+179
+00:17:49,680 --> 00:17:56,510
+بالهدف إن أحصل عندي piston يتحرك يضغط، أو إنه بيحول
+
+180
+00:17:56,510 --> 00:17:59,830
+حركة خطية ترددية لحركة دورانية، زي الـ engine بتاع
+
+181
+00:17:59,830 --> 00:18:06,290
+السيارة. بيصير هنا عملية الاحتراق، وبندفع الـ slider،
+
+182
+00:18:06,290 --> 00:18:09,710
+وبالتالي بندفع الـ slider، بيحرك الـ crank. يعني بيحول
+
+223
+00:22:11,610 --> 00:22:18,410
+link واحد ثابتة. روح اثبت الـ link. link link اتنين
+
+224
+00:22:18,410 --> 00:22:27,250
+لأن عند الـ a في rotation هي عند نقطة a في rotation
+
+225
+00:22:27,250 --> 00:22:32,730
+وفي عند الـ b هي
+
+226
+00:22:32,730 --> 00:22:33,710
+كمان rotation
+
+227
+00:22:38,030 --> 00:22:45,730
+هذه الـ link هذه
+
+228
+00:22:45,730 --> 00:23:00,050
+link اتنين ثابتة. link اتنين ثابتة. لأ
+
+229
+00:23:00,050 --> 00:23:04,510
+أنا عند بي سي. عند بي سي
+
+230
+00:23:13,540 --> 00:23:22,920
+وعندي هتكون عندي a b c. يعني أنا هثبت هذه الـ a
+
+231
+00:23:22,920 --> 00:23:29,540
+b c و b c هتدور. وعندي أربعة هتدور بالنسبة هتكون
+
+232
+00:23:29,540 --> 00:23:41,700
+sliding بالنسبة لواحد هاي
+
+233
+00:23:41,700 --> 00:23:42,020
+الـ c
+
+234
+00:23:45,820 --> 00:23:54,140
+وعندي هاي الـ block ممكن sliding along this one هذه
+
+235
+00:23:54,140 --> 00:24:02,960
+واحد link واحد. هذه الـ link تلاتة وهذه الـ link أربعة
+
+236
+00:24:11,110 --> 00:24:15,830
+لحظة الـ link بي سي بتعمل complete rotation. الـ link
+
+237
+00:24:15,830 --> 00:24:20,410
+بي سي بتعمل complete rotation. الـ link بي سي بتعمل
+
+238
+00:24:20,410 --> 00:24:26,350
+complete rotation. الـ link. الـ link واحد بتعمل
+
+239
+00:24:26,350 --> 00:24:29,930
+reciprocation. بتعمل reciprocation
+
+240
+00:24:32,490 --> 00:24:35,570
+عندي two extreme positions. هكون عندي two extreme
+
+241
+00:24:35,570 --> 00:24:38,690
+positions. one extreme position. الـ .. each extreme
+
+242
+00:24:38,690 --> 00:24:41,870
+position بيحصل لما تكون الـ link تلاتة عمودية على
+
+243
+00:24:41,870 --> 00:24:44,750
+الـ link واحد. يعني هكون عندي two extreme positions
+
+244
+00:24:44,750 --> 00:24:53,710
+هكون عندي one extreme position. هعندي A هاي B هاي A
+
+245
+00:25:01,490 --> 00:25:04,570
+هذا بي سي. هذي one extreme position. another extreme
+
+246
+00:25:04,570 --> 00:25:09,010
+position. هذي
+
+247
+00:25:09,010 --> 00:25:13,510
+link واحد. هذي الـ link three. هذي الـ link three. هذي الـ link
+
+248
+00:25:13,510 --> 00:25:18,090
+واحد. يعني لدي two extreme positions. لأن لو بلف هذا
+
+249
+00:25:18,090 --> 00:25:23,570
+بهذا الاتجاه. بسمي هذا الـ forward
+
+250
+00:25:27,850 --> 00:25:36,570
+Stroke. وهذه الـ return stroke. لو
+
+251
+00:25:36,570 --> 00:25:40,790
+كانت الـ link BC is rotating with fixed. لو سميت هذه
+
+252
+00:25:40,790 --> 00:25:47,070
+الزاوية Alpha. وهذه الزاوية Beta. لو كانت الـ link BC
+
+253
+00:25:47,070 --> 00:25:51,790
+is rotating with fixed angular velocity. هتكون
+
+254
+00:25:51,790 --> 00:25:56,090
+الزاوية Alpha  بـ الساوية
+
+255
+00:25:57,780 --> 00:26:06,260
+أوميغا في الزمن للـ forward stroke. والزاوية بيتا
+
+256
+00:26:06,260 --> 00:26:15,480
+هتكون سوى أوميغا في الزمن للـ return stroke. يعني الـ
+
+257
+00:26:15,480 --> 00:26:21,520
+time of forward stroke هتكون سوى ألفا على أوميغا و
+
+258
+00:26:21,520 --> 00:26:26,280
+الـ time for return stroke هيكون سوى بيتا على أوميغا
+
+259
+00:26:26,280 --> 00:26:30,600
+الآن بدي أعمل ما يسمى الـ quick return ratio. quick
+
+260
+00:26:30,600 --> 00:26:43,180
+return ratio. الـ quick return ratio هتساوي الـ
+
+261
+00:26:43,180 --> 00:26:51,100
+T forward على الـ T return. يعني هتكون Alpha على
+
+262
+00:26:51,100 --> 00:26:57,540
+أوميغا على بيتا على أوميغا. يعني هتساوي Alpha على
+
+263
+00:26:57,540 --> 00:27:08,180
+بيتا. Alpha على بيتا. لاحظ زاوية Alpha أكبر من زاوية
+
+264
+00:27:08,180 --> 00:27:14,840
+بيتا. معناته الـ Quick Return Ratio هتكون أكبر من واحد. معناته في الـ forward stroke في
+
+265
+00:27:14,840 --> 00:27:22,380
+الـ forward stroke بروح ببطء. و في الـ
+
+266
+00:27:22,380 --> 00:27:26,440
+return stroke برجع سريع. هذه القليل اللي بتشوفوها
+
+267
+00:27:26,440 --> 00:27:29,860
+في ماكينة التصوير. ماكينة التصوير لما تصور. الماكينة
+
+268
+00:27:29,860 --> 00:27:33,120
+بتروح ببطء. و لما ترجع ترجع سريع. موجودة في التصوير
+
+269
+00:27:33,120 --> 00:27:39,160
+اللي هي الـ quick return mechanism. هذه ما يسمى
+
+270
+00:27:39,160 --> 00:27:45,040
+second inversion
+
+271
+00:27:45,040 --> 00:27:46,860
+second inversion
+
+272
+00:28:16,860 --> 00:28:26,060
+هذه الـ stack rank التقليدية. هي واحد، اتنين، تلاتة،
+
+273
+00:28:26,060 --> 00:28:43,280
+أربعة. A, B, C, D.  أكوين الديهان A, B, C, D
+
+274
+00:28:52,220 --> 00:29:04,760
+عندي واحد اتنين تلاتة أربعة. a b c d. واضح أنه عندي
+
+275
+00:29:04,760 --> 00:29:08,400
+أربعة links. link واحد اتنين تلاتة أربعة. وعندي أربعة
+
+276
+00:29:08,400 --> 00:29:11,600
+joints. عند revolute joint عند a. revolute joint عند
+
+277
+00:29:11,600 --> 00:29:14,900
+b. revolute joint عند c. و sliding joint عند d
+
+278
+00:29:19,030 --> 00:29:23,650
+الـ third inversion. هثبت link رقم تلاتة. هثبت link
+
+279
+00:29:23,650 --> 00:29:29,190
+رقم تلاتة. و أرخي link رقم اتنين. يعني هتصير
+
+280
+00:29:49,420 --> 00:30:03,400
+هي واحد. عندي A B C D. هاي اتنين. link اتنين هثبت
+
+281
+00:30:03,400 --> 00:30:15,400
+تلاتة. هثبت تلاتة. هاد الـ link أربعة. الـ link اتنين
+
+282
+00:30:16,170 --> 00:30:22,710
+بتدور عند B. و link أربعة بتدور عند C. و link في
+
+283
+00:30:22,710 --> 00:30:27,730
+rotation لواحد مع اتنين. وفي translation لواحد
+
+284
+00:30:27,730 --> 00:30:40,550
+بالنسبة لأربعة. يعني أنا عندي هي نقطة B هي
+
+285
+00:30:40,550 --> 00:30:40,870
+B
+
+286
+00:30:45,450 --> 00:30:53,690
+وهي C. بي
+
+287
+00:30:53,690 --> 00:31:00,310
+و C ثابتين. هذه الـ link هتكون. هذه الـ link تلاتة. هذه
+
+288
+00:31:00,310 --> 00:31:06,470
+الـ link تلاتة
+
+289
+00:31:06,470 --> 00:31:10,710
+عند
+
+290
+00:31:10,710 --> 00:31:13,890
+بي اي. عند بي اي
+
+291
+00:31:25,910 --> 00:31:30,270
+ب ايه. اللي هي link اتنين. أنا عندي link تلاتة
+
+292
+00:31:30,270 --> 00:31:40,710
+معروفة. link أربعة. link أربعة فيها rotation عند C
+
+293
+00:31:40,710 --> 00:31:44,050
+وفي عندي كمان
+
+294
+00:32:04,000 --> 00:32:09,340
+D. تولى المرة عندها بي و سي higher value joint. و
+
+295
+00:32:09,340 --> 00:32:13,800
+higher value joint. معناه هذا الـ link تلاتة. و بعدها
+
+296
+00:32:13,800 --> 00:32:23,140
+بي ايه. هذا ايه عند بي ايه. بي ايه
+
+297
+00:32:27,580 --> 00:32:33,380
+هذه هتكون طبعا. هذه الـ link واحد. وهذه
+
+298
+00:32:33,380 --> 00:32:41,920
+الـ link أربعة. الـ link
+
+299
+00:32:41,920 --> 00:32:48,940
+اتنين. هذه اتنين بتدور عند بي. يعني هذه تعمل دورة
+
+300
+00:32:48,940 --> 00:32:57,840
+كاملة. بي اي بي اي حوالين C. الـ link أربعة. هذه الـ
+
+301
+00:32:57,840 --> 00:33:03,600
+link أربعة بتدور حوالين C. وفي link واحد. الـ block
+
+302
+00:33:03,600 --> 00:33:14,420
+هذا. link واحد. ممكن. link واحد في rotation عند A. وفي
+
+303
+00:33:14,420 --> 00:33:19,060
+sliding عند D. sliding عند D. ف أنا حصلت على link
+
+304
+00:33:19,060 --> 00:33:22,500
+تاني. ممكن أضيفيه لـخليه قيمة أكثر. أروح أعمل شيء زي
+
+305
+00:33:22,500 --> 00:33:22,840
+هيك
+
+306
+00:33:35,900 --> 00:33:39,540
+هو عامل sliding زي connecting rod. بيصير هذا رايح
+
+307
+00:33:39,540 --> 00:33:45,440
+جاي بالشكل هذا. برضه هذا is another quick. another
+
+308
+00:33:45,440 --> 00:33:49,020
+quick
+
+309
+00:33:49,020 --> 00:33:56,620
+another quick return mechanism. برضه في فعل الـ model
+
+310
+00:33:56,620 --> 00:34:01,280
+في simulation video. تطلع عليه. بتفرجينا simulation
+
+311
+00:34:01,280 --> 00:34:06,780
+بـ 2D. تطلع عليه. اللي هو سميته هادي inversion number
+
+312
+00:34:06,780 --> 00:34:10,880
+three. inversion number
+
+313
+00:34:10,880 --> 00:34:22,180
+three. inversion number four. inversion
+
+314
+00:34:22,180 --> 00:34:28,300
+number four. هثبت link أربعة. وأرخي واحد. يعني عندي هنا
+
+315
+00:34:28,300 --> 00:34:46,320
+هيكون عندي هنا. هي B. هي A. هي C. وهي D. A B C D. هي
+
+316
+00:34:46,320 --> 00:34:48,320
+أربعة. هثبت أربعة
+
+317
+00:34:55,650 --> 00:35:02,590
+هذه inversion number four
+
+318
+00:35:02,590 --> 00:35:10,550
+هذه
+
+319
+00:35:10,550 --> 00:35:15,450
+link
+
+320
+00:35:15,450 --> 00:35:21,630
+واحد. هذه الـ link اتنين. هذه الـ link تلاتة
+
+321
+00:35:27,330 --> 00:35:33,410
+عندي هذه نقطة C. هذه
+
+322
+00:35:33,410 --> 00:35:39,150
+الـ C. وهي
+
+323
+00:35:39,150 --> 00:35:42,590
+عندي B
+
+324
+00:35:42,590 --> 00:35:51,090
+وعندي
+
+325
+00:35:51,090 --> 00:35:51,390
+هنا
+
+326
+00:35:58,340 --> 00:36:02,540
+هي أربعة. دي
+
+327
+00:36:02,540 --> 00:36:13,060
+دي
+
+328
+00:36:13,060 --> 00:36:16,620
+الـ
+
+329
+00:36:16,620 --> 00:36:24,010
+link واحد. عندي .. عندي هنا هي C. هي B. و B جاي فيها
+
+330
+00:36:24,010 --> 00:36:32,530
+كمان link.  ناخد دي بالأول. دي في عندها sliding واحد
+
+331
+00:36:32,530 --> 00:36:39,850
+يعني هيكون عندها sliding بشكل هذا. sliding
+
+332
+00:36:39,850 --> 00:36:40,430
+واحد
+
+333
+00:36:44,530 --> 00:36:56,870
+واحد مربوط في A. نرسمها كمان مرة. عندي هي C نقطة
+
+334
+00:36:56,870 --> 00:37:05,850
+C. وهذه four. هذه بي سي بي
+
+335
+00:37:05,850 --> 00:37:12,090
+سي. بعدين هيجي link اتنين
+
+336
+00:37:16,260 --> 00:37:23,300
+هي a. link اتنين. عندي a a
+
+337
+00:37:23,300 --> 00:37:29,880
+و a فيها هنا في
+
+338
+00:37:29,880 --> 00:37:34,200
+rotation block
+
+339
+00:37:34,200 --> 00:37:40,740
+ممكن
+
+340
+00:37:40,740 --> 00:37:42,700
+تصير بهذا الاتجاه
+
+341
+00:37:45,880 --> 00:37:53,200
+طيب. go to model to
+
+342
+00:37:53,200 --> 00:38:00,500
+see simulation video
+
+343
+00:38:04,060 --> 00:38:08,960
+معناته الـ inversion. أنا بأمسك ميكانزم. بأرخي الـ
+
+344
+00:38:08,960 --> 00:38:13,580
+link المثبتة. بأرخي الـ link المثبتة. و بثبت link
+
+345
+00:38:13,580 --> 00:38:16,840
+ثانية. بحصل على الـ new mechanism. بالطريقة هذه. الـ
+
+346
+00:38:16,840 --> 00:38:19,220
+study crank mechanism. عبارة عن أربع mechanisms
+
+347
+00:38:19,220 --> 00:38:23,320
+مختلفة. بـ different inversions. طبعا الحركة النسبية
+
+348
+00:38:23,320 --> 00:38:28,320
+بين الـ links ما بتتغير. لكن الحركة المطلقة لكل link
+
+349
+00:38:28,320 --> 00:38:32,120
+بتتغير تغير جذري. بتغير الـ inversion
+
+350
+00:38:40,090 --> 00:38:43,390
+هذه مثلا inversion number four. inversion number
+
+351
+00:38:43,390 --> 00:38:51,010
+four. يعني لو ترجمناها هتكون هذه نقطة C هي ثابتة
+
+352
+00:38:51,010 --> 00:38:57,730
+نقطة C هذه
+
+353
+00:38:57,730 --> 00:39:01,430
+الـ link هذه. خليني أثبتها
+
+354
+00:39:19,830 --> 00:39:29,050
+هذه نقطة C. هذه هتكون B. وهذه هتكون A. وهذه D. هذه D
+
+355
+00:39:29,050 --> 00:39:32,830
+بالطريقة هذه. عملت مضخة. زي المضخات اللي على البحر
+
+356
+00:39:32,830 --> 00:39:38,590
+زمان. النظام هذه. عملت مضخة. وهنا فيها صمام. وهنا أش
+
+357
+00:39:38,590 --> 00:39:47,170
+مخرج للمياه. فهذه الـ link تلاتة. link أربعة. هذه الـ
+
+358
+00:39:47,170 --> 00:39:53,190
+cylinder ثابتة. وهذا الـ link واحد. وهذا الـ link واحد
+
+359
+00:39:53,190 --> 00:39:57,730
+وهذا الـ link اتنين. يعني هذه تلاتة اتنين واحد أربعة
+
+360
+00:39:57,730 --> 00:40:07,750
+كمان مرة. التلاتة اتنين واحد أربعة. هذه طبعا هتكون
+
+361
+00:40:07,750 --> 00:40:13,870
+C B A. و الـ .. و sliding hair. بسميه اللي .. اللي هو
+
+362
+00:40:13,870 --> 00:40:23,370
+D. هذه الـ inversion number four. هذه
+
+363
+00:40:23,370 --> 00:40:26,930
+inversion number three. و حكينا عنها. inversion
+
+364
+00:40:26,930 --> 00:40:27,990
+number three
+
+365
+00:40:37,580 --> 00:40:42,120
+هذه quick-return mechanism. هذه الـ forward stroke
+
+366
+00:40:42,120 --> 00:40:46,960
+بتاعتها أكبر من الـ return stroke. معناته في حالة
+
+367
+00:40:46,960 --> 00:40:49,360
+الـ forward stroke بتكون بطيئة. في الـ return
+
+368
+00:40:49,360 --> 00:40:57,040
+stroke بتكون سريعة. الـ
+
+369
+00:40:57,040 --> 00:41:00,900
+second inversion. بقى ثبت link اتنين. يعني
+
+370
+00:41:00,900 --> 00:41:05,320
+الميكانيزم كلها متشابهة مع بعضها. الـ example زي اللي
+
+371
+00:41:05,320 --> 00:41:10,440
+بتحلوها مع المعيد. بسيطة
+
+372
+00:41:10,440 --> 00:41:15,820
+طيب
+
+373
+00:41:15,820 --> 00:41:23,180
+نيجي
+
+374
+00:41:23,180 --> 00:41:26,940
+للـ double slider crank mechanism. double slider
+
+375
+00:41:26,940 --> 00:41:32,290
+crank mechanism. من اسمها double slider. بكون عندي
+
+376
+00:41:32,290 --> 00:41:54,730
+two sliders. عند هذه المجرى ع
+
+377
+00:41:54,730 --> 00:41:55,550
+الشكل cross
+
+378
+00:42:10,460 --> 00:42:18,380
+وفي عندي two blocks. في عندي block A و
+
+379
+00:42:18,380 --> 00:42:24,680
+block B. هاي
+
+380
+00:42:24,680 --> 00:42:35,280
+وفي واصل بينهم link. هي
+
+381
+00:42:35,280 --> 00:42:38,480
+B. هي A
+
+382
+00:42:47,730 --> 00:42:56,410
+و الـ cross مثبت. الـ block
+
+383
+00:42:56,410 --> 00:43:00,310
+A. مسموح يتحرك بالاتجاه الرأسي. الـ block B مسموح
+
+384
+00:43:00,310 --> 00:43:06,170
+يتحرك بالاتجاه الأفقي. يعني لو A نزل. لو A نزل بهذا
+
+385
+00:43:06,170 --> 00:43:12,450
+الاتجاه. معناته بيه هيتحرك بالاتجاه المعاكس. لو طلع A
+
+386
+00:43:12,450 --> 00:43:14,850
+بيروح على اليمين
+
+387
+00:43:18,460 --> 00:43:24,540
+الآن إذا تتبعنا نقطة
+
+388
+00:43:24,540 --> 00:43:29,420
+على الـ
+
+389
+00:43:29,420 --> 00:43:35,120
+link AB. الـ connecting rod. وحطينا قلم عليها. while
+
+390
+00:43:35,120 --> 00:43:40,660
+الـ motion شغالة. هتعطيني شكل اللبس. هتعطيني شكل
+
+391
+00:43:40,660 --> 00:43:41,740
+بيضاوي
+
+392
+00:43:56,400 --> 00:44:11,520
+هتعطيني شكل بيضاوي. لو
+
+393
+00:44:11,520 --> 00:44:21,380
+اعتبرت هذا هو الـ X axis. هذا الـ X axis. وهذا
+
+394
+00:44:21,380 --> 00:44:37,820
+الـ Y axis. هذا الـ Y. هذا الـ X. النقطة P. إحدى θ. هذه Y
+
+395
+00:44:37,820 --> 00:44:41,560
+وهذه
+
+396
+00:44:41,560 --> 00:44:47,940
+X
+
+397
+00:44:47,940 --> 00:44:54,100
+ولو
+
+398
+00:44:54,100 --> 00:44:55,140
+كانت هذه الزاوية θ
+
+399
+00:45:02,550 --> 00:45:09,850
+theta. حد النقطة. هسميها P. الـ
+
+400
+00:45:09,850 --> 00:45:14,810
+X. هتساوي
+
+401
+00:45:14,810 --> 00:45:18,810
+AP. برضه
+
+402
+00:45:18,810 --> 00:45:26,090
+هتكون theta. هتكون AP. P cosine theta
+
+403
+00:45:29,900 --> 00:45:40,280
+معناته X على AP هتكون تساوي Cos θ. والـ Y. الـ Y
+
+404
+00:45:40,280 --> 00:45:57,900
+هتساوي BP في Sin θ. معناته Y على BP بتساوي Sin θ
+
+405
+00:45:57,900 --> 00:46:03,260
+هذه معادلة واحدة. هذه معادلة اتنين. لو ربعت المعادلة
+
+406
+00:46:03,260 --> 00:46:06,280
+واحد. والمعادلة اتنين. و جمعتهم مع بعض. الطرف الأيسر
+
+407
+00:46:06,280 --> 00:46:10,740
+مع الأيسر. والايمن مع الايمن. هيزكي. وعندي X تربيع على
+
+408
+00:46:10,740 --> 0
+
+445
+00:50:29,510 --> 00:50:36,870
+هذا الثلاث نقاط O P يعني
+
+446
+00:50:38,980 --> 00:50:45,860
+لو بدي أترجمها لشكل مشابه ستكون
+
+447
+00:50:45,860 --> 00:50:53,500
+عندي link واحد fixed، هي عندي هنا نقطة، نقطتين، فاندي
+
+448
+00:50:53,500 --> 00:51:06,100
+sliding هنا و sliding هنا وهي link واحد fixed
+
+449
+00:51:07,960 --> 00:51:14,780
+معناته هذه نقطة أو ستكون، وهذه link اثنين، وهذه نقطة
+
+450
+00:51:14,780 --> 00:51:20,460
+P وهنا ستكون عندي هنا طبعا complete rotation هنا
+
+451
+00:51:20,460 --> 00:51:28,040
+partial، وهذه link ثلاثة، وهذه link أربعة
+
+452
+00:51:36,110 --> 00:51:41,590
+يعني P بين أربعة، ممكن أحكي أن عندي هنا C وهنا D
+
+453
+00:51:41,590 --> 00:51:48,770
+هي هي دي C sliding sliding pair، وعندي هنا D
+
+454
+00:51:48,770 --> 00:51:57,660
+another sliding pair، يعني اللي سويته أنا فككت أربعة
+
+455
+00:51:57,660 --> 00:52:03,680
+فككت أربعة وثبتت واحد، حصلت على another mechanism
+
+456
+00:52:03,680 --> 00:52:07,720
+اللي أنا بسميها scotch yolk mechanism scotch yolk
+
+457
+00:52:07,720 --> 00:52:12,660
+mechanism الآن، two makes complete rotation about O
+
+458
+00:52:12,660 --> 00:52:16,360
+في طرف two، في عندي block من خلال revolute joint
+
+459
+00:52:17,310 --> 00:52:20,530
+this block is allowed to slide with respect to
+
+460
+00:52:20,530 --> 00:52:25,630
+this link، and this link is can move with respect
+
+461
+00:52:25,630 --> 00:52:27,850
+to one along، دخلت الدرجة يعني هم بتتحرك بهذا
+
+462
+00:52:27,850 --> 00:52:32,010
+الاتجاه، وثلاثة بتتحرك بهذا الاتجاه، يعني عندي هنا
+
+463
+00:52:32,010 --> 00:52:35,070
+sliding pair، وعندي هنا sliding pair، عندي هنا one
+
+464
+00:52:35,070 --> 00:52:40,010
+revolute pair، وعندي هنا one revolute pair طبعا
+
+465
+00:52:41,210 --> 00:52:45,150
+سكوتش يوك، إذا ثبتت نقطة، يعني النقطة ستكون سقاط
+
+466
+00:52:45,150 --> 00:52:49,550
+النقطة هذه سقاط ستعطيني simple harmonic motion هذه
+
+467
+00:52:49,550 --> 00:52:54,070
+one inversion of the slider crank mechanism
+
+468
+00:52:54,070 --> 00:52:57,950
+another
+
+469
+00:52:57,950 --> 00:53:01,810
+inversion of this of the double slider crank
+
+470
+00:53:01,810 --> 00:53:07,230
+mechanism، إيش نسميه؟ old hams coupling
+
+471
+00:53:13,630 --> 00:53:20,930
+في old ham coupling، في old ham coupling بقى
+
+472
+00:53:20,930 --> 00:53:35,370
+ثبتت link 2، يعني هيسير كالتالي، يعني دي الوضع هي
+
+473
+00:53:35,370 --> 00:53:38,170
+link 2، بقى ثبتها
+
+474
+00:53:43,820 --> 00:53:50,840
+عندي هنا، سيكون عندي link واحد، فعندي هنا sliding و
+
+475
+00:53:50,840 --> 00:54:00,380
+link أربعة، فعندي هنا sliding، فعندي هنا link ثلاثة
+
+476
+00:54:02,060 --> 00:54:05,840
+سيكون عندي دي، link واحد makes complete rotation with
+
+477
+00:54:05,840 --> 00:54:10,440
+respect to two، and link three makes complete
+
+478
+00:54:10,440 --> 00:54:17,440
+rotation with respect to three، وفي مسافة بين this
+
+479
+00:54:17,440 --> 00:54:22,340
+joint and this joint، معناته ممكن باستخدام هذه ال
+
+480
+00:54:22,340 --> 00:54:28,240
+inversion أنقل الحركة بين محورين متوازين، وفي بينهم
+
+481
+00:54:28,240 --> 00:54:31,060
+مسافة، يعني لو حكيت هذه a
+
+482
+00:54:41,130 --> 00:54:48,230
+BCD، عندي هاي A
+
+483
+00:54:48,230 --> 00:54:56,350
+هاي شافت، هاي محور B، وهذا
+
+484
+00:54:56,350 --> 00:55:02,840
+ال link رقم اثنين، وهذا ال link رقم اثنين، وفي رقم
+
+485
+00:55:02,840 --> 00:55:11,000
+ثلاثة الها rotation، الها
+
+486
+00:55:11,000 --> 00:55:17,800
+rotation، وفي عند رقم واحد
+
+487
+00:55:57,020 --> 00:56:03,420
+هذه، حسنًا بها هذه
+
+488
+00:56:03,420 --> 00:56:06,700
+link four
+
+489
+00:56:09,310 --> 00:56:13,270
+وهذه link ثلاثة، وهذه link واحد
+
+490
+00:56:16,850 --> 00:56:21,330
+link 4 slides بالنسبة لواحد، و slides بالنسبة
+
+491
+00:56:21,330 --> 00:56:25,330
+لتلاتة، link 4 slide بالنسبة لواحد، و slide بالنسبة
+
+492
+00:56:25,330 --> 00:56:32,370
+لتلاتة، link 4 slide with respect to both link واحد
+
+493
+00:56:32,370 --> 00:56:34,770
+و link ثلاثة، بعدين أنا ممكن أحط shaft عند ال
+
+494
+00:56:34,770 --> 00:56:38,890
+completely rotating shaft one، وعند completely
+
+495
+00:56:38,890 --> 00:56:43,010
+rotating shaft three، وأنقل حركة بينهم من خلال ال
+
+496
+00:56:43,010 --> 00:56:43,810
+link ال sliding
+
+497
+00:56:49,190 --> 00:56:56,010
+هذه لو سميتها هذه ال link واحد، وهذه ال link ثلاثة
+
+498
+00:56:56,010 --> 00:57:04,230
+وهذه ال link أربعة، لحظة، في هنا عندي groove، وهنا في
+
+499
+00:57:04,230 --> 00:57:09,330
+عندي بروز، وفي groove عمود على الـ groove هذا، وفيه
+
+500
+00:57:09,330 --> 00:57:12,990
+بروز مقابل من ال link هذه، معناته هذه بيصير sliding
+
+501
+00:57:12,990 --> 00:57:16,570
+بالنسبة لهذه، وهذه complete rotation، وهذه complete
+
+502
+00:57:16,570 --> 00:57:21,110
+rotation، برضه في simulation على ال model، تفرجوا
+
+503
+00:57:21,110 --> 00:57:24,130
+على الفيديو عشان تشوفوا ال simulation بتاع ال
+
+504
+00:57:24,130 --> 00:57:28,870
+mechanism هذا، هيك بتكون خلصنا chapter ثلاثة
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/OFpd2-DTfv4_postprocess.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/OFpd2-DTfv4_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..31c8f16d114f40fc945c0ce99b8db2af6edba0e2
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/OFpd2-DTfv4_postprocess.srt
@@ -0,0 +1,2016 @@
+1
+00:00:04,940 --> 00:00:08,240
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,240 --> 00:00:13,240
+وبركاته اليوم هنستكمل chapter خمسة اللي هي القليات
+
+3
+00:00:13,240 --> 00:00:19,760
+البسيطة نرجع نراجع المحاضرة الفاتة تعرفنا ال link
+
+4
+00:00:19,760 --> 00:00:23,950
+او ال kinematic elementهو ال link اللي هو كل part
+
+5
+00:00:23,950 --> 00:00:28,030
+من ال machine اللي بتحرك بالنسبة لل other parts
+
+6
+00:00:28,030 --> 00:00:32,890
+عرفنا resistant body هو الجسم القادر على نقل ال
+
+7
+00:00:32,890 --> 00:00:36,270
+forces بدون ما يصير فيه deformation ال link لازم
+
+8
+00:00:36,270 --> 00:00:40,850
+يكون لها خاصيتين لازم يكون لها حركة نسبية بالنسبة
+
+9
+00:00:40,850 --> 00:00:45,510
+لل links التانية و لازم يكون resistant body ال
+
+10
+00:00:45,510 --> 00:00:48,070
+links تجعل تلت أنواع rigid link, flexible link,
+
+11
+00:00:48,230 --> 00:00:54,360
+fluid linkال structure عبارة عن تجميع من ال .. ال
+
+12
+00:00:54,360 --> 00:00:57,820
+.. ال resistant bodies اللي فيش بين .. فيش حركة ..
+
+13
+00:00:57,820 --> 00:01:03,210
+حركة للأعضاء بالنسبة للأعضاء الأخرىعملنا مقارنة
+
+14
+00:01:03,210 --> 00:01:06,750
+بين ال machine و ال structure عرفنا ال pair عبارة
+
+15
+00:01:06,750 --> 00:01:09,570
+عن two links of a machine in contact with each
+
+16
+00:01:09,570 --> 00:01:14,430
+other ال kinematic pair ال kinematic pair بيكون ال
+
+17
+00:01:14,430 --> 00:01:17,530
+relative motion between the links is completely or
+
+18
+00:01:17,530 --> 00:01:20,850
+successfully constrained عرفنا أنواع الحركة
+
+19
+00:01:20,850 --> 00:01:23,830
+المقيدة في عندي complete constrained motion في
+
+20
+00:01:23,830 --> 00:01:25,570
+عندي incomplete constrained motion و عندي
+
+21
+00:01:25,570 --> 00:01:27,190
+successfully constrained motion
+
+22
+00:01:30,700 --> 00:01:35,620
+عملنا classification of kinematics pairs according
+
+23
+00:01:35,620 --> 00:01:38,880
+to type of relative motion between the elements او
+
+24
+00:01:38,880 --> 00:01:41,140
+according to the type of contact between elements
+
+25
+00:01:41,140 --> 00:01:45,260
+او according to the type of closure التصنيف الاول
+
+26
+00:01:45,260 --> 00:01:48,420
+طبقا لنوع الحركة بين ال elements اللي هو فيه عند
+
+27
+00:01:48,420 --> 00:01:51,460
+sliding pair او prismatic pair عند turning pair او
+
+28
+00:01:51,460 --> 00:01:54,620
+ما يسمى revolute pair rolling pair و screw pair و
+
+29
+00:01:54,620 --> 00:01:57,580
+spherical pairفي according to type of contact يكون
+
+30
+00:01:57,580 --> 00:02:00,420
+عند ال lower pair يكون ال contact along a surface
+
+31
+00:02:00,420 --> 00:02:04,240
+و في عند ال higher pair يكون ال contact along a
+
+32
+00:02:04,240 --> 00:02:06,840
+line or a point في عند according to type of
+
+33
+00:02:06,840 --> 00:02:09,840
+closure self closed pair و force closed pair
+
+34
+00:02:16,850 --> 00:02:19,610
+الـ kinematic chain حكينا هي عبارة عن combination
+
+35
+00:02:19,610 --> 00:02:23,290
+of kinematic pairs joined in such a way that each
+
+36
+00:02:23,290 --> 00:02:28,690
+link forms a part of two pairs الحركة النسبية بين
+
+37
+00:02:28,690 --> 00:02:32,090
+ال links or elements in the kinematic chain is
+
+38
+00:02:32,090 --> 00:02:34,470
+completely or successfully constrained
+
+39
+00:02:39,650 --> 00:02:42,950
+في الـ kinematic chain إذا هي kinematic chain لازم
+
+40
+00:02:42,950 --> 00:02:45,670
+يكون عدد اللينكات في علاقة بين عدد اللينكات وال
+
+41
+00:02:45,670 --> 00:02:50,590
+number of pairs ال بيستوى اتنين P minus four وفي
+
+42
+00:02:50,590 --> 00:02:53,470
+علاقة بين number of links and number of joints J
+
+43
+00:02:53,470 --> 00:02:56,690
+بيستوى واحد و نص ال ناقص اتنين طبعا المعادلة هذه
+
+44
+00:02:56,690 --> 00:03:00,470
+والمعادلة السابقة تنطبق في حالة ال lower pairs
+
+45
+00:03:05,000 --> 00:03:09,300
+طبعا each higher pair يعادل two lower pairs plus a
+
+46
+00:03:09,300 --> 00:03:17,140
+link حلينا مجموعة من الأمثلة الان اتعرفنا على
+
+47
+00:03:17,140 --> 00:03:20,640
+الأنواع ال joints في عندى binary joints يعني بيكون
+
+48
+00:03:20,640 --> 00:03:24,670
+عندى two links joined at the same pointفي عند
+
+49
+00:03:24,670 --> 00:03:28,050
+وصلات ثلاثية بيكون تلاتة links joined at the same
+
+50
+00:03:28,050 --> 00:03:34,510
+point وفي عند وصلات ربعية بتكون عند النقطة الواحدة
+
+51
+00:03:34,510 --> 00:03:39,970
+موصل اربع .. اربع links طبعا في حالة ال .. ال ..
+
+52
+00:03:39,970 --> 00:03:46,620
+ال .. ال .. الوصلات الثلاثيةبكون عندى الكل وصلة
+
+53
+00:03:46,620 --> 00:03:52,080
+ثلاثية تعادل اتنين اتنين وصلة ثنائية وكل وصلة
+
+54
+00:03:52,080 --> 00:03:56,500
+ربعية تعادل تلت وصلة ثنائية حلينا نجمع الأمثلة
+
+55
+00:03:56,500 --> 00:03:59,920
+اعرفنا
+
+56
+00:03:59,920 --> 00:04:02,280
+ال mechanism حكي الميكانيز هي one ال mechanism هي
+
+57
+00:04:02,280 --> 00:04:06,640
+عبارة عن كلمة chain in which one of the lengths is
+
+58
+00:04:06,640 --> 00:04:11,880
+fixed ال mechanism is used for transmitting or
+
+59
+00:04:11,880 --> 00:04:13,840
+transformation of motion
+
+60
+00:04:17,430 --> 00:04:20,010
+أعرفنا degrees of freedom هي number of input
+
+61
+00:04:20,010 --> 00:04:22,890
+parameters which must be independently controlled
+
+62
+00:04:22,890 --> 00:04:24,950
+in order to bring the mechanism into a useful
+
+63
+00:04:24,950 --> 00:04:28,870
+engineering purpose اتعرفنا أجمع من الانكات ال
+
+64
+00:04:28,870 --> 00:04:31,890
+four bar linkage is one degree of freedom system و
+
+65
+00:04:31,890 --> 00:04:35,970
+five linkages is two degrees of freedom system
+
+66
+00:04:35,970 --> 00:04:40,850
+طبعا في علاقة بين number of degrees of freedom
+
+67
+00:04:43,450 --> 00:04:46,470
+و ال number of links و ال number of joints ال N هي
+
+68
+00:04:46,470 --> 00:04:48,770
+number of degrees of freedom بيستوى تلاتة في L
+
+69
+00:04:48,770 --> 00:04:52,790
+ناقص واحد minus اتنين J minus H ال N هي degrees of
+
+70
+00:04:52,790 --> 00:04:55,910
+freedom L هي number of links J هي number of lower
+
+71
+00:04:55,910 --> 00:05:01,550
+pairs joints و ال H هي number of higher pairs هذا
+
+72
+00:05:01,550 --> 00:05:04,430
+تسمى code spec criterion for mobility of a
+
+73
+00:05:04,430 --> 00:05:08,050
+mechanism in plan motion حللوا يا جماعة عن الأمثلة
+
+74
+00:05:14,870 --> 00:05:20,270
+لحد هنا وصلنا لان في اشي اسمه ما يسمى grappler's
+
+75
+00:05:20,270 --> 00:05:25,650
+criterion for plan for plan mechanism المعادلة
+
+76
+00:05:25,650 --> 00:05:32,630
+السابقة اللي هي N بالساوية
+
+77
+00:05:32,630 --> 00:05:40,410
+تلاتة في L minus واحد minus two J minus H
+
+78
+00:05:43,710 --> 00:05:48,490
+في حالة mechanisms with lower pairs بيصير الان
+
+79
+00:05:48,490 --> 00:05:51,530
+mechanism with lower pairs يعني أكتر السوء السفير
+
+80
+00:05:51,530 --> 00:05:56,610
+بسوء التلاتة في L minus واحد minus اتنين J
+
+81
+00:06:05,520 --> 00:06:09,460
+الآن Grabler's criterion applies to mechanisms
+
+82
+00:06:09,460 --> 00:06:11,860
+with only single degrees of freedom يعني تكون الان
+
+83
+00:06:11,860 --> 00:06:18,160
+بالساوية واحد و no higher pairs يعني الان بالساوية
+
+84
+00:06:18,160 --> 00:06:23,720
+واحد بالساوية تلاتة في L minus واحد minus اتنين J
+
+85
+00:06:23,720 --> 00:06:28,580
+خلينا نفكر حسينا اندي واحد بالساوية تلاتة L minus
+
+86
+00:06:28,580 --> 00:06:36,310
+تلاتة minus اتنين J يعني انا عندي التلاتةالـ minus
+
+87
+00:06:36,310 --> 00:06:45,210
+اتنين J minus اربعة بتساوي سفر هذي بيسميها
+
+88
+00:06:45,210 --> 00:06:50,070
+grablers criteria for plan mechanisms with one
+
+89
+00:06:50,070 --> 00:06:56,030
+degree of freedom grablers
+
+90
+00:06:56,030 --> 00:06:59,210
+criteria for one degree of freedom systems بتحكي
+
+91
+00:06:59,210 --> 00:07:07,200
+التاليلا يمكن يكون عدد ال linkات odd فردي لا يمكن
+
+92
+00:07:07,200 --> 00:07:13,200
+يكون عدد ال linkات فردي خلي انا احاول انبسط
+
+93
+00:07:13,200 --> 00:07:18,720
+المعادلة هذه حسنا دي اتنين جي بالثواب تلاتة ال
+
+94
+00:07:18,720 --> 00:07:24,880
+minus اربعة يعني جي بالثواب واحد و نص ال minus
+
+95
+00:07:24,880 --> 00:07:30,220
+اتنين انجرب عدد ال linkات فردي هاي ال
+
+96
+00:07:33,550 --> 00:07:38,370
+و J نبدأ من تلاتة اذا number of links تلاتة واحد و
+
+97
+00:07:38,370 --> 00:07:42,730
+نص في تلاتة اربعة و نص ناقص اتنين و نص نين و نص
+
+98
+00:07:42,730 --> 00:07:52,450
+زوجي اربعة واحد و نص في اربعة ستة ناقص اتنين اربعة
+
+99
+00:07:52,450 --> 00:07:59,560
+الان في حالة عدد ال links فرديجربوا أرقام تانية
+
+100
+00:07:59,560 --> 00:08:02,940
+بيطلع عدد Jones اتنين و نصف مافيش اسمه اتنين و نصف
+
+101
+00:08:02,940 --> 00:08:05,700
+Jones في عندى بيكون تلاتة Jones اربعة Jones خمسة
+
+102
+00:08:05,700 --> 00:08:08,980
+Jones بيكون عدد صحيح معناته for a planner
+
+103
+00:08:08,980 --> 00:08:13,280
+mechanism with one degree of freedom system and no
+
+104
+00:08:13,280 --> 00:08:16,860
+higher pairs grab this criteria بتحكي لايمكن يكون
+
+105
+00:08:16,860 --> 00:08:23,570
+عدد ال link فردي لازم يكون زوجيالان ال most simple
+
+106
+00:08:23,570 --> 00:08:26,510
+mechanisms اللي هي عندي ال four bar linkage و ال
+
+107
+00:08:26,510 --> 00:08:31,270
+slider crank mechanism هي
+
+108
+00:08:31,270 --> 00:08:36,150
+أبسط الأليات الموجودة اللي هي ال four bar linkage
+
+109
+00:08:36,150 --> 00:08:44,590
+و ال slider crank mechanism هندرس
+
+110
+00:08:44,590 --> 00:08:49,330
+في ال chapter هذا اللي هو ال four bar linkageو
+
+111
+00:08:49,330 --> 00:08:52,710
+Single Slider Crank Mechanism و Double Slider
+
+112
+00:08:52,710 --> 00:08:58,290
+Crank Mechanism سنبدأ
+
+113
+00:08:58,290 --> 00:08:59,510
+بالـ four bar linkage
+
+114
+00:09:20,650 --> 00:09:26,010
+هذه الأرض واحد هذه ال link اتنين link تلاتة link
+
+115
+00:09:26,010 --> 00:09:34,970
+اربع هذه نقطة A B C and D وهنا عندي joint وهنا
+
+116
+00:09:34,970 --> 00:09:41,050
+عندي joint الآن
+
+117
+00:09:41,050 --> 00:09:45,970
+عندي a gracious law for a four bar mechanism بيحكي
+
+118
+00:09:45,970 --> 00:09:46,490
+التالي
+
+119
+00:09:49,460 --> 00:09:54,080
+عشان الـ crank اللي هي ال driving link تعمل
+
+120
+00:09:54,080 --> 00:09:57,880
+complete rotation تعمل complete rotation دورة
+
+121
+00:09:57,880 --> 00:10:04,040
+كاملة لازم يكون مجموع أقصر ال link و أطول ال link
+
+122
+00:10:04,040 --> 00:10:10,100
+أقل من ال remaining two other links يعني خلينا نحط
+
+123
+00:10:10,100 --> 00:10:17,440
+أطول مثلا لو كانت هذه مية هذه
+
+124
+00:10:17,440 --> 00:10:27,120
+خمسينهذه مية و عشرين وهذه تمانين اقصر link ايش يا
+
+125
+00:10:27,120 --> 00:10:36,340
+خمسين و اطول link مية و عشرين خمسين زي مية و عشرين
+
+126
+00:10:36,340 --> 00:10:45,740
+ال shortest shortest زي
+
+127
+00:10:45,740 --> 00:10:46,300
+ال longest
+
+128
+00:10:49,720 --> 00:10:56,400
+اللي هي عندي خمسين زائد مية و عشرين يعني مية و
+
+129
+00:10:56,400 --> 00:11:02,160
+سبعين ال remaining ال other ال sum of the
+
+130
+00:11:02,160 --> 00:11:06,440
+remainder المتبقى
+
+131
+00:11:06,440 --> 00:11:14,980
+هيكون في عنده اللي هي مية زائد تمانينمية زائد
+
+132
+00:11:14,980 --> 00:11:20,060
+تمانين بيساوي مية و تمانين لاحظوا مجموع ال
+
+133
+00:11:20,060 --> 00:11:23,880
+shortest زاد ال longest أقل من ال remainder يعني
+
+134
+00:11:23,880 --> 00:11:29,660
+مية و سبعين أقل من مية و تمانين معناته ممكن ال
+
+135
+00:11:29,660 --> 00:11:36,480
+link هذه link أربعة تدور دورة كاملةأو ال link
+
+136
+00:11:36,480 --> 00:11:41,160
+اتنين دورة كاملة حسب مين فيهم ال driver إذا كانت
+
+137
+00:11:41,160 --> 00:11:46,900
+أربع هي ال driver أو اتنين هي ال driver طيب،
+
+138
+00:11:46,900 --> 00:11:53,480
+لاحظوا التالي لو كان العكس .. لو كان العكس .. لو
+
+139
+00:11:53,480 --> 00:11:54,240
+كان العكس
+
+140
+00:11:58,490 --> 00:12:03,630
+لو كان العكس مش هتقدر ال link ل driver تدور دورة
+
+141
+00:12:03,630 --> 00:12:07,590
+كاملة مش هتقدر تدور دورة كاملة خلينا نورجي ..
+
+142
+00:12:07,590 --> 00:12:14,030
+نورجي ال simulation على الجهاز
+
+143
+00:13:36,350 --> 00:13:44,430
+في مشكلة في ال player طيب
+
+144
+00:13:44,430 --> 00:13:47,870
+على أي حال انا الفيديوهات حاططها الفيديوهات ال
+
+145
+00:13:47,870 --> 00:13:52,430
+simulation محطوطة على ال model تقدر تتفرجوا على ال
+
+146
+00:13:52,430 --> 00:13:53,870
+model على ال videos
+
+147
+00:14:31,560 --> 00:14:36,000
+طيب نستكمل الميكانيزم التاني اللي هدرسها اللي هي
+
+148
+00:14:36,000 --> 00:14:41,960
+ال slider .. ال single slider crank mechanism انا
+
+149
+00:14:41,960 --> 00:14:49,720
+بيكون عندي المقاوم لل link هذه واحد هذه ال crank
+
+150
+00:14:49,720 --> 00:14:57,780
+اتنين هذه نقطة A هذه نقطة B وهذه link تلاتة ال
+
+151
+00:14:57,780 --> 00:15:04,720
+connecting road وهذا ال slider هذه اربعةهذه نقطة C
+
+152
+00:15:04,720 --> 00:15:13,080
+عندما
+
+153
+00:15:13,080 --> 00:15:19,040
+تدور الكراينكهتسحب معاها ال connecting rod و ال
+
+154
+00:15:19,040 --> 00:15:22,860
+connecting rod هيحرك ال slider و ال slider مسموح
+
+155
+00:15:22,860 --> 00:15:26,440
+ليه يتحرك بالاتجاه الأفقي يعني ال slider بتحرك
+
+156
+00:15:26,440 --> 00:15:32,180
+حركة خطية ال crank بتتحرك حركة دورانية حوالي نقطة
+
+157
+00:15:32,180 --> 00:15:36,700
+A و ال connecting rod BC بتحرك general plan motion
+
+158
+00:15:36,700 --> 00:15:40,940
+يعني بتحرك يعني فيه مركز تقل و بنتقل و بسيله برضه
+
+159
+00:15:40,940 --> 00:15:43,400
+rotation يعني فيه translation و rotation
+
+160
+00:15:47,190 --> 00:15:53,170
+في two extreme positions لل .. لل .. لل slotted
+
+161
+00:15:53,170 --> 00:15:56,330
+crank mechanism one extreme position عند النقطة
+
+162
+00:15:56,330 --> 00:16:00,110
+هذه حسيب
+
+163
+00:16:00,110 --> 00:16:08,870
+عندي ال mechanism بالشكل هذا هذا
+
+164
+00:16:08,870 --> 00:16:13,350
+one extreme position another extreme position لما
+
+165
+00:16:13,350 --> 00:16:16,250
+ال link صير فرد على الآخر يعني حسيب عندي النقطة
+
+166
+00:16:16,250 --> 00:16:21,950
+هذهو تصير مفروض على الآخر لحد ما تصل لاند النقطة
+
+167
+00:16:21,950 --> 00:16:25,750
+هذه هذا
+
+168
+00:16:25,750 --> 00:16:32,290
+ال position بسميه ال bottom dead center و هذا ال
+
+169
+00:16:32,290 --> 00:16:38,610
+position ال top dead center و المسافة بين ال top
+
+170
+00:16:38,610 --> 00:16:45,710
+dead center و ال bottom dead center هي ال shot ال
+
+171
+00:16:45,710 --> 00:16:46,130
+stroke
+
+172
+00:16:51,280 --> 00:16:57,000
+معناته هذه أبعد نقطة ممكن يصلها ل slider وهذه أقرب
+
+173
+00:16:57,000 --> 00:17:01,640
+نقطة ممكن يصلها ل slider والمسافة بين أبعد نقطة و
+
+174
+00:17:01,640 --> 00:17:07,060
+أقرب نقطة بسميها short ل stroke لو كان ال radius
+
+175
+00:17:07,060 --> 00:17:16,900
+لل crank R ال stroke هتكون 2R ال stroke هتكون
+
+176
+00:17:16,900 --> 00:17:20,360
+ساوة اتنين R ال R هي ال radius
+
+177
+00:17:24,280 --> 00:17:34,180
+of الكرانك اللي هي ال link اتنين ال
+
+178
+00:17:34,180 --> 00:17:37,800
+slider crank mechanism تستخدم لتحويل الحركة
+
+179
+00:17:37,800 --> 00:17:43,340
+الدورانية إلى حركة خطية تذوبية إذا كان ال input
+
+180
+00:17:43,340 --> 00:17:47,020
+عند الكرانك يعني كان هنا في الموتور و تطبيقة هذه
+
+181
+00:17:47,020 --> 00:17:49,680
+مثلا في حالة ال compressors انا براك موتور و انا
+
+182
+00:17:49,680 --> 00:17:56,510
+بالهدف ان احصل عندى piston يتحرك يضغطأو انه بيحول
+
+183
+00:17:56,510 --> 00:17:59,830
+حركة خطية تدبدبية لحركة دورانية زي ال engine بتاع
+
+184
+00:17:59,830 --> 00:18:06,290
+السيارة بيصير هنا عملية الاحتراق وبندفع ال slider
+
+185
+00:18:06,290 --> 00:18:09,710
+وبالتالي بندفع ال slider بيحرك ال crank يعني بيحول
+
+186
+00:18:09,710 --> 00:18:15,770
+حركة تدبدبية خطية لحركة دورانية او بالعكس بيحول
+
+187
+00:18:15,770 --> 00:18:24,970
+حركة دورانية لحركة خطية تدبدبية طيب
+
+188
+00:18:34,290 --> 00:18:38,530
+ممكن اعبر عن ال slotted crank mechanism هاي
+
+189
+00:18:38,530 --> 00:18:53,290
+slotted crank mechanism هاي
+
+190
+00:18:53,290 --> 00:19:00,610
+link واحد link اتنين link تلاتة link اربعة هذه a b
+
+191
+00:19:00,610 --> 00:19:03,070
+c
+
+192
+00:19:06,150 --> 00:19:14,270
+C وD اللي هي sliding pair لأ
+
+193
+00:19:14,270 --> 00:19:17,510
+عند A في عندي complete rotation هي عندي نقطة A
+
+194
+00:19:17,510 --> 00:19:23,030
+وعند
+
+195
+00:19:23,030 --> 00:19:28,830
+D ال rotation بيعبر عنه دائرتين complete rotation
+
+196
+00:19:28,830 --> 00:19:33,850
+عند D في عندي translation بيعبر عنها بالشكل هذا هي
+
+197
+00:19:33,850 --> 00:19:45,180
+Dعند P عند B فاندي partial rotation وعند C فاندي
+
+198
+00:19:45,180 --> 00:19:51,180
+partial rotation لأن بين A وB فيتيجي link اتنين
+
+199
+00:19:51,180 --> 00:20:02,440
+هذا ال link اتنين بين B وC بتيجي link تلاتة بين
+
+200
+00:20:02,440 --> 00:20:08,640
+Cو دي يعني ان هنا link .. و عندي هنا بين a و d
+
+201
+00:20:08,640 --> 00:20:16,640
+link واحد و هنا link أربعة لأن link two rotates
+
+202
+00:20:16,640 --> 00:20:23,010
+aboutA في ال rotation حوالين A link تلاتة في
+
+203
+00:20:23,010 --> 00:20:27,050
+rotation عند B و rotation عند C link أربع إلها
+
+204
+00:20:27,050 --> 00:20:36,470
+sliding مع D طبعا واحد مثبت واحد ثابت واحد ثابت
+
+205
+00:20:36,470 --> 00:20:40,230
+طيب
+
+206
+00:20:43,850 --> 00:20:49,570
+ممكن احصل من نفس القلية هذه على قليات تانية من
+
+207
+00:20:49,570 --> 00:20:54,650
+خلال تغيير طريقة التثبيت يعني انا حاليا مثبت link
+
+208
+00:20:54,650 --> 00:20:58,430
+رقم واحد بعمل ما يسمى inversion هذي بسميها
+
+209
+00:20:58,430 --> 00:21:01,790
+inversion number one الميكانيزم هذه فيها اربع
+
+210
+00:21:01,790 --> 00:21:03,730
+links يعني هكون اندي inversion number one
+
+211
+00:21:03,730 --> 00:21:05,670
+inversion number two inversion number three
+
+212
+00:21:05,670 --> 00:21:09,730
+inversion number fourالان ال inversion of
+
+213
+00:21:09,730 --> 00:21:13,810
+mechanism هي طريقة للحصول على عديد من القليات من
+
+214
+00:21:13,810 --> 00:21:18,290
+خلال تثبيت link و fact link تثبيت link و fact link
+
+215
+00:21:18,290 --> 00:21:21,490
+يعني لو ثبتت واحد بحصل على inversion number واحد
+
+216
+00:21:21,490 --> 00:21:27,270
+لو ثبتت ال link اتنين بحصل على new mechanism خلينا
+
+217
+00:21:27,270 --> 00:21:30,710
+نثبت ال link اتنين لو ثبتت ال link اتنين حسي الوضع
+
+218
+00:21:30,710 --> 00:21:43,640
+كان التالي هاي Aهذه هثبت اتنين هذه
+
+219
+00:21:43,640 --> 00:21:54,780
+اتنين وهذه عندى D هذه
+
+220
+00:21:54,780 --> 00:21:59,660
+C هذه
+
+221
+00:21:59,660 --> 00:22:05,320
+link تلاتة هذه link اربع
+
+222
+00:22:06,990 --> 00:22:11,610
+sliding وهي link واحد لان انا فكت واحد هنا كانت
+
+223
+00:22:11,610 --> 00:22:18,410
+link واحد ثابتة روح اثبت link a link link اتنين
+
+224
+00:22:18,410 --> 00:22:27,250
+لان عند a في rotation هي عند نقطة a في rotation
+
+225
+00:22:27,250 --> 00:22:32,730
+وفي عند b هي
+
+226
+00:22:32,730 --> 00:22:33,710
+كمان rotation
+
+227
+00:22:38,030 --> 00:22:45,730
+هذه link هذه
+
+228
+00:22:45,730 --> 00:23:00,050
+link اتنين ثابتة link اتنين ثابتة لأ
+
+229
+00:23:00,050 --> 00:23:04,510
+انا عند بي سي عند بي سي
+
+230
+00:23:13,540 --> 00:23:22,920
+وعندي هتكون عندي a b c يعني انا هثبت هذه a
+
+231
+00:23:22,920 --> 00:23:29,540
+b c و b c هتدور وعندي اربعة هتدور بالنسبة هتكون
+
+232
+00:23:29,540 --> 00:23:41,700
+sliding بالنسبة لواحد هاي
+
+233
+00:23:41,700 --> 00:23:42,020
+ال c
+
+234
+00:23:45,820 --> 00:23:54,140
+وعندي هاي block ممكن sliding along this one هذه
+
+235
+00:23:54,140 --> 00:24:02,960
+واحد link واحد هذه link تلاتة وهذه link أربعة
+
+236
+00:24:11,110 --> 00:24:15,830
+لحظة ال link بي سي بتعمل complete rotation ال link
+
+237
+00:24:15,830 --> 00:24:20,410
+بي سي بتعمل complete rotation ال link بي سي بتعمل
+
+238
+00:24:20,410 --> 00:24:26,350
+complete rotation ال link ال link واحد بتعمل
+
+239
+00:24:26,350 --> 00:24:29,930
+reciprocation بتعمل reciprocation
+
+240
+00:24:32,490 --> 00:24:35,570
+عندي two extreme positions هكون اندي two extreme
+
+241
+00:24:35,570 --> 00:24:38,690
+positions one extreme position ال .. each extreme
+
+242
+00:24:38,690 --> 00:24:41,870
+position بيحصل لما تكون ال link تلاتة عمودية على
+
+243
+00:24:41,870 --> 00:24:44,750
+ال link واحد يعني هكون اندي two extreme positions
+
+244
+00:24:44,750 --> 00:24:53,710
+هكون اندي one extreme position هعندي A هاي B هاي A
+
+245
+00:25:01,490 --> 00:25:04,570
+هذا بي سي هذي one extreme position another extreme
+
+246
+00:25:04,570 --> 00:25:09,010
+position هذي
+
+247
+00:25:09,010 --> 00:25:13,510
+link واحد هذي link three هذي link three هذي link
+
+248
+00:25:13,510 --> 00:25:18,090
+واحد يعني لدي two extreme positions لان لو بلف هذا
+
+249
+00:25:18,090 --> 00:25:23,570
+بهذا الاتجاه بسمي هذا ال forward
+
+250
+00:25:27,850 --> 00:25:36,570
+Stroke وهذه الـ return stroke لو
+
+251
+00:25:36,570 --> 00:25:40,790
+كانت ال link BC is rotating with fixed لو سميت هذه
+
+252
+00:25:40,790 --> 00:25:47,070
+الزاوية Alpha وهذه الزاوية Beta لو كانت ال link BC
+
+253
+00:25:47,070 --> 00:25:51,790
+is rotating with fixed angular velocity هتكون
+
+254
+00:25:51,790 --> 00:25:56,090
+الزاوية Alpha بالساوية
+
+255
+00:25:57,780 --> 00:26:06,260
+أميجا في الزمن لل forward stroke والزاوية بيتا
+
+256
+00:26:06,260 --> 00:26:15,480
+هتكون سوى أميجا في الزمن لل return stroke يعني ال
+
+257
+00:26:15,480 --> 00:26:21,520
+time of forward stroke هتكون سوى ألفةعلى omega و
+
+258
+00:26:21,520 --> 00:26:26,280
+ال time for return stroke هكون سوى beta على omega
+
+259
+00:26:26,280 --> 00:26:30,600
+الان بدي اعمل ما يسمى ال quick return ratio quick
+
+260
+00:26:30,600 --> 00:26:43,180
+return ratio ال quick return ratio هتسوى ال
+
+261
+00:26:43,180 --> 00:26:51,100
+T forward على ال T returnيعني هتكون Alpha على
+
+262
+00:26:51,100 --> 00:26:57,540
+Omega على Beta على Omega يعني هتساوي Alpha على
+
+263
+00:26:57,540 --> 00:27:08,180
+Beta Alpha على Beta لاحظ زاوية Alpha أكبر من زاوية
+
+264
+00:27:08,180 --> 00:27:14,840
+Beta معناته الـ Quick Retain Ratioهتكون تسعة او
+
+265
+00:27:14,840 --> 00:27:22,380
+اكبر من واحد معناته في ال fourth stroke في
+
+266
+00:27:22,380 --> 00:27:26,440
+ال fourth stroke بروح بطيق بروح بطيق و في ال
+
+267
+00:27:26,440 --> 00:27:29,860
+return stroke برجع سريع هذه القليل اللي بتشوفوها
+
+268
+00:27:29,860 --> 00:27:33,120
+في ماكينة التصوير ماكينة التصوير لما تصور الماكنة
+
+269
+00:27:33,120 --> 00:27:39,160
+بتروح بطيق و لما ترجع ترجع سريع موجودة في التصوير
+
+270
+00:27:39,160 --> 00:27:45,040
+اللي هي ال quick return mechanismهذه ما يسمى
+
+271
+00:27:45,040 --> 00:27:46,860
+second inversion
+
+272
+00:28:16,860 --> 00:28:26,060
+هذه ال stack rank التقليدية هي واحد، اتنين، تلاتة،
+
+273
+00:28:26,060 --> 00:28:43,280
+اربعة A, B, C, D اكوين الديهان A, B, C, D
+
+274
+00:28:52,220 --> 00:29:04,760
+عندي واحد اتنين تلاتة اربعة a b c d واضح انه عندي
+
+275
+00:29:04,760 --> 00:29:08,400
+اربع links link واحد اتنين تلاتة اربعة وعندي اربع
+
+276
+00:29:08,400 --> 00:29:11,600
+joints عند revolute joint عند a revolute joint عند
+
+277
+00:29:11,600 --> 00:29:14,900
+b revolute joint عند c وsliding joint عند d
+
+278
+00:29:19,030 --> 00:29:23,650
+ال third inversion هثبت link رقم تلاتة هثبت link
+
+279
+00:29:23,650 --> 00:29:29,190
+رقم تلاتة و ارخي link رقم اتنين يعني هتصير
+
+280
+00:29:49,420 --> 00:30:03,400
+هي واحد عندي A B C D هاي اتنين link اتنين هثبت
+
+281
+00:30:03,400 --> 00:30:15,400
+تلاتة هثبت تلاتة هاد ال link اربعة ال link اتنين
+
+282
+00:30:16,170 --> 00:30:22,710
+بتدور عند B و link أربعة بتدور عند C و link في
+
+283
+00:30:22,710 --> 00:30:27,730
+rotation ل واحد مع اتنين وفي translation ل واحد
+
+284
+00:30:27,730 --> 00:30:40,550
+بالنسبة لاربعة يعني انا عندي هي نقطة B هي
+
+285
+00:30:40,550 --> 00:30:40,870
+B
+
+286
+00:30:45,450 --> 00:30:53,690
+وهي C بي
+
+287
+00:30:53,690 --> 00:31:00,310
+و C سابتين هذه ال link هتكون هذه ال link تلاتة هذه
+
+288
+00:31:00,310 --> 00:31:06,470
+ال link تلاتة
+
+289
+00:31:06,470 --> 00:31:10,710
+عند
+
+290
+00:31:10,710 --> 00:31:13,890
+بي اي عند بي اي
+
+291
+00:31:25,910 --> 00:31:30,270
+ب ايه اللي هي link اتنين انا عندي link تلاتة
+
+292
+00:31:30,270 --> 00:31:40,710
+معروفة link اربعة link اربعة فيها rotation عند C
+
+293
+00:31:40,710 --> 00:31:44,050
+وفي عندي كمان
+
+294
+00:32:04,000 --> 00:32:09,340
+D تولى المرة عندها بي و سي higher value joint و
+
+295
+00:32:09,340 --> 00:32:13,800
+higher value joint معناه هذا ال link تلاتة و بعدها
+
+296
+00:32:13,800 --> 00:32:23,140
+بي ايه هذا ايه عند بي ايه بي ايه
+
+297
+00:32:27,580 --> 00:32:33,380
+هذه هتكون طبعا هذه ال link واحد وهذه
+
+298
+00:32:33,380 --> 00:32:41,920
+ال link أربعة ال link
+
+299
+00:32:41,920 --> 00:32:48,940
+اتنين هذه اتنين بتدور عند بي يعني هذه تعمل دورة
+
+300
+00:32:48,940 --> 00:32:57,840
+كاملة بي اي بي ايحوالين C ال link أربعة هذه ال
+
+301
+00:32:57,840 --> 00:33:03,600
+link أربعة بتدور حوالين C وفي link واحد ال block
+
+302
+00:33:03,600 --> 00:33:14,420
+هذا link واحد ممكن link واحد في rotation عند A وفي
+
+303
+00:33:14,420 --> 00:33:19,060
+sliding عند D sliding عند D فانا حصلت على link
+
+304
+00:33:19,060 --> 00:33:22,500
+تاني ممكن اضيفيه لخليه قيمة اكتر اروح اعمل اشي زي
+
+305
+00:33:22,500 --> 00:33:22,840
+هيك
+
+306
+00:33:35,900 --> 00:33:39,540
+هو عامل sliding زي connecting rod بيصير هد رايح
+
+307
+00:33:39,540 --> 00:33:45,440
+جاي بالشكل هذا برضه هد is another quick another
+
+308
+00:33:45,440 --> 00:33:49,020
+quick
+
+309
+00:33:49,020 --> 00:33:56,620
+another quick return mechanismبرضه في فعل ال model
+
+310
+00:33:56,620 --> 00:34:01,280
+في simulation video تطلع عليه بتفرجينا simulation
+
+311
+00:34:01,280 --> 00:34:06,780
+ب 2D تطلع عليه اللي هو سميه هادي inversion number
+
+312
+00:34:06,780 --> 00:34:10,880
+three inversion number
+
+313
+00:34:10,880 --> 00:34:22,180
+three inversion number four inversion
+
+314
+00:34:22,180 --> 00:34:28,300
+number fourهثبت link أربعة ورخي واحد يعني عندي هنا
+
+315
+00:34:28,300 --> 00:34:46,320
+هيكون عندي هنا هي B هي A هي C وهي D A B C D هي
+
+316
+00:34:46,320 --> 00:34:48,320
+أربعة هثبت أربعة
+
+317
+00:34:55,650 --> 00:35:02,590
+هذه inversion number four
+
+318
+00:35:02,590 --> 00:35:10,550
+هذه
+
+319
+00:35:10,550 --> 00:35:15,450
+link
+
+320
+00:35:15,450 --> 00:35:21,630
+واحد هذه link اتنين هذه link تلاتة
+
+321
+00:35:27,330 --> 00:35:33,410
+عندي هذه نقطة C هذه
+
+322
+00:35:33,410 --> 00:35:39,150
+الـ C وهي
+
+323
+00:35:39,150 --> 00:35:42,590
+عندي B
+
+324
+00:35:42,590 --> 00:35:51,090
+وعندي
+
+325
+00:35:51,090 --> 00:35:51,390
+هنا
+
+326
+00:35:58,340 --> 00:36:02,540
+هي أربعة دي
+
+327
+00:36:02,540 --> 00:36:13,060
+دي
+
+328
+00:36:13,060 --> 00:36:16,620
+ال
+
+329
+00:36:16,620 --> 00:36:24,010
+link واحد عندي .. عندي هناهي C هى B و B جاي فيها
+
+330
+00:36:24,010 --> 00:36:32,530
+كمان link ناخد دي بالأول دي في عنده sliding واحد
+
+331
+00:36:32,530 --> 00:36:39,850
+يعني هيكون عنده sliding بشكل هذا sliding
+
+332
+00:36:39,850 --> 00:36:40,430
+واحد
+
+333
+00:36:44,530 --> 00:36:56,870
+واحد مربوط في A نرسمها كمان مرة عندي هي C نقطة
+
+334
+00:36:56,870 --> 00:37:05,850
+C وهذه four هذه بي سي بي
+
+335
+00:37:05,850 --> 00:37:12,090
+سي بعدين هيجي link اتنين
+
+336
+00:37:16,260 --> 00:37:23,300
+هي a link اتنين عندي a a
+
+337
+00:37:23,300 --> 00:37:29,880
+و a فيها هنا في
+
+338
+00:37:29,880 --> 00:37:34,200
+rotation block
+
+339
+00:37:34,200 --> 00:37:40,740
+ممكن
+
+340
+00:37:40,740 --> 00:37:42,700
+تصير بهذا الاتجاه
+
+341
+00:37:45,880 --> 00:37:53,200
+طيب go to model to
+
+342
+00:37:53,200 --> 00:38:00,500
+see simulation video
+
+343
+00:38:04,060 --> 00:38:08,960
+معناته ال inversion أنا بأمسك ميكانزم بأرخي ال
+
+344
+00:38:08,960 --> 00:38:13,580
+link المثبتة بأرخي ال link المثبتة و بثبت link
+
+345
+00:38:13,580 --> 00:38:16,840
+تاني بحصل على ال new mechanism بالطريقة هذه ال
+
+346
+00:38:16,840 --> 00:38:19,220
+study crank mechanism عبارة عن أربع mechanisms
+
+347
+00:38:19,220 --> 00:38:23,320
+مختلفة ب different inversions طبعا الحركة النسبية
+
+348
+00:38:23,320 --> 00:38:28,320
+بين ال links ما بتتغير لكن الحركة المطلقة لكل link
+
+349
+00:38:28,320 --> 00:38:32,120
+بتتغير تغير جذري بتغير ال inversion
+
+350
+00:38:40,090 --> 00:38:43,390
+هذه مثلا inversion number four inversion number
+
+351
+00:38:43,390 --> 00:38:51,010
+four يعني لو ترجمناها هتكون هذه نقطة C هي ثابتة
+
+352
+00:38:51,010 --> 00:38:57,730
+نقطة C هذه
+
+353
+00:38:57,730 --> 00:39:01,430
+ال link هذه خليني أثبتها
+
+354
+00:39:19,830 --> 00:39:29,050
+هذه نقطة C هذه هتكون B وهذه هتكون A وهذه D هذه D
+
+355
+00:39:29,050 --> 00:39:32,830
+بالطريقة هذه عملت مضخة زي المضخات اللي على البحر
+
+356
+00:39:32,830 --> 00:39:38,590
+زمان النظام هذه عملت مضخة وهنا فيها صمام وهنا أش
+
+357
+00:39:38,590 --> 00:39:47,170
+مخرج للمياه فهذه ال linkتلاتة link اربعة هذه ال
+
+358
+00:39:47,170 --> 00:39:53,190
+cylinder ثابتة وهذا ال link واحد وهذا ال link واحد
+
+359
+00:39:53,190 --> 00:39:57,730
+وهذا ال link اتنين يعني هذه تلاتة اتنين واحد اربعة
+
+360
+00:39:57,730 --> 00:40:07,750
+كمان مرة التلاتة اتنين واحد اربعةهذه طبعا حد هتكون
+
+361
+00:40:07,750 --> 00:40:13,870
+C B A و ال .. و sliding hair بسميه اللي .. اللي هو
+
+362
+00:40:13,870 --> 00:40:23,370
+D هذه ال inversion number four هذه
+
+363
+00:40:23,370 --> 00:40:26,930
+inversion number three و حكينا عنها inversion
+
+364
+00:40:26,930 --> 00:40:27,990
+number three
+
+365
+00:40:37,580 --> 00:40:42,120
+هذه quick-return mechanism هذه الـ forward stroke
+
+366
+00:40:42,120 --> 00:40:46,960
+بتاعتها أكبر من الـ return stroke معناته في حالة
+
+367
+00:40:46,960 --> 00:40:49,360
+الـ forward stroke بتكون بطيئة في الـ return
+
+368
+00:40:49,360 --> 00:40:57,040
+stroke بتكون سريعة ال
+
+369
+00:40:57,040 --> 00:41:00,900
+second inversion بقى ثبت link اتنين يعني
+
+370
+00:41:00,900 --> 00:41:05,320
+الميكانيزم كلها متشابه مع بعضال example زي اللي
+
+371
+00:41:05,320 --> 00:41:10,440
+بتحلوها مع المعيد بسيطة
+
+372
+00:41:10,440 --> 00:41:15,820
+طيب
+
+373
+00:41:15,820 --> 00:41:23,180
+نيجي
+
+374
+00:41:23,180 --> 00:41:26,940
+لل double slider crank mechanism double slider
+
+375
+00:41:26,940 --> 00:41:32,290
+crank mechanism من اسمها double sliderبكون عندى
+
+376
+00:41:32,290 --> 00:41:54,730
+two sliders عند هذه المجرة ع
+
+377
+00:41:54,730 --> 00:41:55,550
+الشكل cross
+
+378
+00:42:10,460 --> 00:42:18,380
+و فى عندى two blocks فى عندى block A و
+
+379
+00:42:18,380 --> 00:42:24,680
+block B هاي
+
+380
+00:42:24,680 --> 00:42:35,280
+و فى واصل بينهم link هى
+
+381
+00:42:35,280 --> 00:42:38,480
+B هى A
+
+382
+00:42:47,730 --> 00:42:56,410
+و ال cross مثبت ال block
+
+383
+00:42:56,410 --> 00:43:00,310
+A مسموح يتحرك بالاتجاه الرأسي ال block B مسموح
+
+384
+00:43:00,310 --> 00:43:06,170
+يتحرك بالاتجاه الأفوكي يعني لو A نزل لو A نزل بهذا
+
+385
+00:43:06,170 --> 00:43:12,450
+الاتجاه معناه بيه هيتحرك بالاتجاه المعاكس لو طلع A
+
+386
+00:43:12,450 --> 00:43:14,850
+بيروح على اليمن
+
+387
+00:43:18,460 --> 00:43:24,540
+الان اذا تتبعنا نقطة
+
+388
+00:43:24,540 --> 00:43:29,420
+على ال
+
+389
+00:43:29,420 --> 00:43:35,120
+link AB ال connecting rod و حطينا قلم عليها while
+
+390
+00:43:35,120 --> 00:43:40,660
+ال motion شغالة هتعطيني شكل اللبس هتعطيني شكل
+
+391
+00:43:40,660 --> 00:43:41,740
+بيضاوي
+
+392
+00:43:56,400 --> 00:44:11,520
+هتعطيني شكل بيضاوي لو
+
+393
+00:44:11,520 --> 00:44:21,380
+اعتبرت هذا هو ال X axis هذا ال X axis وهذا
+
+394
+00:44:21,380 --> 00:44:37,820
+ال Y axis هذا ال Y هذا ال Xالنقطة P إحدى θ هذه Y
+
+395
+00:44:37,820 --> 00:44:41,560
+وهذه
+
+396
+00:44:41,560 --> 00:44:47,940
+X
+
+397
+00:44:47,940 --> 00:44:54,100
+ولو
+
+398
+00:44:54,100 --> 00:44:55,140
+كانت هذه الزاوية θ
+
+399
+00:45:02,550 --> 00:45:09,850
+theta حد النقطة هسميها P ال
+
+400
+00:45:09,850 --> 00:45:14,810
+X هتستوى
+
+401
+00:45:14,810 --> 00:45:18,810
+AP برضه
+
+402
+00:45:18,810 --> 00:45:26,090
+هتكون theta هتكون AP P cosine theta
+
+403
+00:45:29,900 --> 00:45:40,280
+معناته X على AP هتكون تساوي Cos θ وال Y ال Y
+
+404
+00:45:40,280 --> 00:45:57,900
+هتساوي BP في Sin θ معناته Y على BP بتساوي Sin θ
+
+405
+00:45:57,900 --> 00:46:03,260
+هذه معدلة واحدةهذه معادلة اتنين لو ربعت المعادلة
+
+406
+00:46:03,260 --> 00:46:06,280
+واحد والمعادلة اتنين و جمعتهم مع بعض الطرف الأيصر
+
+407
+00:46:06,280 --> 00:46:10,740
+مع الأيصر والايمن مع الايمن هزكي وعندي X تربية على
+
+408
+00:46:10,740 --> 00:46:16,460
+AP تربية زاد
+
+409
+00:46:16,460 --> 00:46:24,820
+Y تربية على VP كل تربية هزكي سواء Cos تربية زي Sin
+
+410
+00:46:24,820 --> 00:46:25,860
+تربية واحد
+
+411
+00:46:29,910 --> 00:46:34,230
+هذه المعادلة معادلة ايش ال lips equation of ال
+
+412
+00:46:34,230 --> 00:46:40,730
+lips اللي هي x اذا فاكرين x تربيع على a تربيع زاد
+
+413
+00:46:40,730 --> 00:46:45,190
+y تربيع على b تربيع بساوة واحد ال a اللي هو ال
+
+414
+00:46:45,190 --> 00:46:52,930
+major axis و ال b ال minor axisفواضح ان النقطة P
+
+415
+00:46:52,930 --> 00:46:57,230
+هذه بترسم لي ellipse عشانك بيسموها elliptical
+
+416
+00:46:57,230 --> 00:47:02,030
+tremor elliptical tremor لان if we trace a point
+
+417
+00:47:02,030 --> 00:47:06,670
+on link AB this point will generate an ellipse
+
+418
+00:47:06,670 --> 00:47:09,870
+عشانك بيسميها elliptical tremor
+
+419
+00:47:23,010 --> 00:47:27,290
+هدح كده كله
+
+420
+00:47:27,290 --> 00:47:33,190
+من ال double slider crank mechanism ممكن احصل
+
+421
+00:47:33,190 --> 00:47:44,670
+other mechanisms by inversion بس
+
+422
+00:47:44,670 --> 00:47:47,170
+حلوين ارجع لل double slider
+
+423
+00:47:51,260 --> 00:47:58,040
+الـ double slider أنا عندي link
+
+424
+00:47:58,040 --> 00:48:04,960
+to عندي هي link to
+
+425
+00:48:04,960 --> 00:48:14,560
+هي link to هي a و b أو b و a
+
+426
+00:48:21,420 --> 00:48:29,480
+و في عندي هنا link تلاتة link
+
+427
+00:48:29,480 --> 00:48:34,700
+تلاتة و
+
+428
+00:48:34,700 --> 00:48:45,160
+عندي link واحد both slide في
+
+429
+00:48:45,160 --> 00:48:49,540
+link أربعة و ال link أربعة أشمالها ثابتة
+
+430
+00:48:58,390 --> 00:49:03,810
+يعني في عند A revolute joint و
+
+431
+00:49:03,810 --> 00:49:10,650
+عند B revolute joint أمكن أسمي هذا C sliding pair
+
+432
+00:49:10,650 --> 00:49:14,110
+و هنا عندي another sliding pair sliding pair بين
+
+433
+00:49:14,110 --> 00:49:18,130
+تلاتة و أربعة و sliding pair بين واحد و أربعة
+
+434
+00:49:18,130 --> 00:49:21,750
+الناس تتعودوا على هذا ال representation تتعودوا
+
+435
+00:49:21,750 --> 00:49:24,390
+كيف الترجم هذا للشكل هذا
+
+436
+00:49:29,370 --> 00:49:37,030
+السكوتش يوك السكوتش يوك السكوتش
+
+437
+00:49:37,030 --> 00:49:43,990
+يوك عندي
+
+438
+00:49:43,990 --> 00:49:49,390
+هاي link اتنين وفيه بطرفها slider link اتنين تعمل
+
+439
+00:49:49,390 --> 00:49:54,470
+complete rotation تعمل complete rotation تعمل
+
+440
+00:49:54,470 --> 00:49:58,270
+complete rotation
+
+441
+00:50:02,060 --> 00:50:10,010
+بطرفها في لينك تلاتة sliding وفي لينك أربع هذهlink
+
+442
+00:50:10,010 --> 00:50:16,790
+4 في بينها هي slides slides بالنسبة لواحد slides
+
+443
+00:50:16,790 --> 00:50:22,230
+بالنسبة لواحد اربع slide بالنسبة لواحد خلنا نكتبها
+
+444
+00:50:22,230 --> 00:50:29,510
+يعني عندي هنا link واحد link اربع link اتنين و ال
+
+445
+00:50:29,510 --> 00:50:36,870
+slider هذا التلاتة هذا النقطة O P يعني
+
+446
+00:50:38,980 --> 00:50:45,860
+لو بدى اترجمها لشكل مشابه هتكون
+
+447
+00:50:45,860 --> 00:50:53,500
+عندي link واحد fixed هي عندي هنا نقطة نقطتين فاندي
+
+448
+00:50:53,500 --> 00:51:06,100
+sliding هنا و sliding هنا وهي link واحد fixed
+
+449
+00:51:07,960 --> 00:51:14,780
+معناته هذا نقطة او هتكون وهذا link اتنين وهذا نقطة
+
+450
+00:51:14,780 --> 00:51:20,460
+P وهنا هتكون عنده هنا طبعا complete rotation هنا
+
+451
+00:51:20,460 --> 00:51:28,040
+partial وهذا link تلاتة وهذا link اربعة
+
+452
+00:51:36,110 --> 00:51:41,590
+يعني P بين أربعة ممكن احكي ان عندي هين C و هين D
+
+453
+00:51:41,590 --> 00:51:48,770
+هى هى دي C sliding sliding pair و عندي هين D
+
+454
+00:51:48,770 --> 00:51:57,660
+another sliding pair يعني اللى سويته انا فكتأربعة
+
+455
+00:51:57,660 --> 00:52:03,680
+فكت أربعة و ثبتت واحد حصلت على another mechanism
+
+456
+00:52:03,680 --> 00:52:07,720
+اللي أنا بسميها scotch yolk mechanism scotch yolk
+
+457
+00:52:07,720 --> 00:52:12,660
+mechanism الان two makes complete rotation about O
+
+458
+00:52:12,660 --> 00:52:16,360
+في طرف two في عندى block من خلال revolute joint
+
+459
+00:52:17,310 --> 00:52:20,530
+this block is allowed to slide with respect to
+
+460
+00:52:20,530 --> 00:52:25,630
+this link and this link is can move with respect
+
+461
+00:52:25,630 --> 00:52:27,850
+to one along دخلت الدرجة يعني هم بتتحرك بهذا
+
+462
+00:52:27,850 --> 00:52:32,010
+الاتجاه و تلاتة بتتحرك بهذا الاتجاه يعني عندهين
+
+463
+00:52:32,010 --> 00:52:35,070
+sliding pair و عندهين sliding pair عندهين one
+
+464
+00:52:35,070 --> 00:52:40,010
+revolute pair و عندهين one revolute pair طبعا
+
+465
+00:52:41,210 --> 00:52:45,150
+سكوتش يوك إذا كتبعت نقطة يعني النقطة هيكون سقاط
+
+466
+00:52:45,150 --> 00:52:49,550
+النقطة هذه سقاط هيعطيني simple harmonic motion هذه
+
+467
+00:52:49,550 --> 00:52:54,070
+one inversion of the slider crank mechanism
+
+468
+00:52:54,070 --> 00:52:57,950
+another
+
+469
+00:52:57,950 --> 00:53:01,810
+inversion of this of the double slider crank
+
+470
+00:53:01,810 --> 00:53:07,230
+mechanism إيش بنسميه old hams coupling
+
+471
+00:53:13,630 --> 00:53:20,930
+فى old ham coupling فى old ham coupling بقى
+
+472
+00:53:20,930 --> 00:53:35,370
+ثبت link 2 يعني هسير كتال يعني دي الوضع هي
+
+473
+00:53:35,370 --> 00:53:38,170
+link 2 بقى ثبتها
+
+474
+00:53:43,820 --> 00:53:50,840
+عندي هنا سأكون عندي link واحد فعندي هنا sliding و
+
+475
+00:53:50,840 --> 00:54:00,380
+link أربع فعندي هنا sliding فعندي هنا link تلاتة
+
+476
+00:54:02,060 --> 00:54:05,840
+حكوني عن دي link واحد makes complete rotation with
+
+477
+00:54:05,840 --> 00:54:10,440
+respect to two and link three makes complete
+
+478
+00:54:10,440 --> 00:54:17,440
+rotation with respect to three وفي مسافة بين this
+
+479
+00:54:17,440 --> 00:54:22,340
+joint and this joint معناته ممكن باستخدام هذه ال
+
+480
+00:54:22,340 --> 00:54:28,240
+inversion أنقل الحركة بين محورين متوازين وفي بينهم
+
+481
+00:54:28,240 --> 00:54:31,060
+مسافة يعني لو حكيت هذه a
+
+482
+00:54:41,130 --> 00:54:48,230
+BCD عندي هاي A
+
+483
+00:54:48,230 --> 00:54:56,350
+هاي شافت هاي محور B وهذا
+
+484
+00:54:56,350 --> 00:55:02,840
+ال link رقم اتنين وهذا ال link رقم اتنينو في رقم
+
+485
+00:55:02,840 --> 00:55:11,000
+تلاتة الها rotation الها
+
+486
+00:55:11,000 --> 00:55:17,800
+rotation و في عند رقم واحد
+
+487
+00:55:57,020 --> 00:56:03,420
+هذه حسن بيها هذه
+
+488
+00:56:03,420 --> 00:56:06,700
+link four
+
+489
+00:56:09,310 --> 00:56:13,270
+و هذه link تلاتة وهذه link واحدة
+
+490
+00:56:16,850 --> 00:56:21,330
+link 4 slides بالنسبة لواحد و slides بالنسبة
+
+491
+00:56:21,330 --> 00:56:25,330
+لتلاتة link 4 slide بالنسبة لواحد و slide بالنسبة
+
+492
+00:56:25,330 --> 00:56:32,370
+لتلاتة link 4 slide with respect to both link واحد
+
+493
+00:56:32,370 --> 00:56:34,770
+و link تلاتة بعدين انا ممكن احط shaft عند ال
+
+494
+00:56:34,770 --> 00:56:38,890
+completely rotating shaft one و عند completely
+
+495
+00:56:38,890 --> 00:56:43,010
+rotating shaft three وانقل حركة بينهم من خلال ال
+
+496
+00:56:43,010 --> 00:56:43,810
+link ال sliding
+
+497
+00:56:49,190 --> 00:56:56,010
+هذه لو سميتها هذه ال link واحد وهذه ال link تلاتة
+
+498
+00:56:56,010 --> 00:57:04,230
+وهذه ال link أربعة لحظة في هنا عندي groove وهنا في
+
+499
+00:57:04,230 --> 00:57:09,330
+عندي بروز وفي grooveعمود على الـ groove هذا وفيه
+
+500
+00:57:09,330 --> 00:57:12,990
+بروز مقابل من ال link هذه معناته هذه بيصير sliding
+
+501
+00:57:12,990 --> 00:57:16,570
+بالنسبة لهذه وهذه complete rotation وهذه complete
+
+502
+00:57:16,570 --> 00:57:21,110
+rotation برضه في simulation على ال model تفرجوا
+
+503
+00:57:21,110 --> 00:57:24,130
+على الفيديو عشان تشوفوا ال simulation بتاع ال
+
+504
+00:57:24,130 --> 00:57:28,870
+mechanism هذا هيك بتكون خلصنا chapter تلاتة
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/OFpd2-DTfv4_raw.json b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/OFpd2-DTfv4_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..6db3d5388f36caedb5bac349e49ce03f49be7751
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/OFpd2-DTfv4_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2104, "start": 4.94, "end": 21.04, "text": "بسم الله الرحمن الرحيم السلام عليكم ورحمة الله وبركاته اليوم هنستكمل chapter خمسة اللي هي القليات البسيطة نرجع نراجع المحاضرة الفاتة تعرفنا ال link او ال kinematic element", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21136, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224, 45595, 20498, 8032, 1863, 14851, 24793, 1211, 7187, 16490, 2304, 3794, 3660, 13672, 1829, 39896, 25062, 20292, 9307, 29739, 3794, 1829, 9566, 3660, 8717, 47341, 3615, 8717, 2288, 26108, 3615, 9673, 5016, 46958, 25720, 27188, 9307, 3660, 37279, 28480, 8315, 2423, 2113, 1975, 2407, 2423, 15784, 14911, 4478], "avg_logprob": -0.1280381963070896, "compression_ratio": 1.6941176470588235, "no_speech_prob": 1.3113021850585938e-06, "words": [{"start": 4.94, "end": 5.52, "word": "بسم", "probability": 0.8681640625}, {"start": 5.52, "end": 5.76, "word": " الله", "probability": 0.96923828125}, {"start": 5.76, "end": 6.14, "word": " الرحمن", "probability": 0.97021484375}, {"start": 6.14, "end": 6.58, "word": " الرحيم", "probability": 0.9930013020833334}, {"start": 6.58, "end": 7.06, "word": " السلام", "probability": 0.89697265625}, {"start": 7.06, "end": 7.52, "word": " عليكم", "probability": 0.94189453125}, {"start": 7.52, "end": 7.98, "word": " ورحمة", "probability": 0.8448486328125}, {"start": 7.98, "end": 8.24, "word": " الله", "probability": 0.97314453125}, {"start": 8.24, "end": 9.12, "word": " وبركاته", "probability": 0.98427734375}, {"start": 9.12, "end": 9.82, "word": " اليوم", "probability": 0.810302734375}, {"start": 9.82, "end": 10.76, "word": " هنستكمل", "probability": 0.9392578125}, {"start": 10.76, "end": 11.12, "word": " chapter", "probability": 0.7216796875}, {"start": 11.12, "end": 11.62, "word": " خمسة", "probability": 0.8553466796875}, {"start": 11.62, "end": 11.74, "word": " اللي", "probability": 0.923583984375}, {"start": 11.74, "end": 12.02, "word": " هي", "probability": 0.92236328125}, {"start": 12.02, "end": 13.24, "word": " القليات", "probability": 0.78466796875}, {"start": 13.24, "end": 15.18, "word": " البسيطة", "probability": 0.98515625}, {"start": 15.18, "end": 17.08, "word": " نرجع", "probability": 0.9031575520833334}, {"start": 17.08, "end": 17.6, "word": " نراجع", "probability": 0.923095703125}, {"start": 17.6, "end": 18.12, "word": " المحاضرة", "probability": 0.9073486328125}, {"start": 18.12, "end": 18.56, "word": " الفاتة", "probability": 0.7329915364583334}, {"start": 18.56, "end": 19.16, "word": " تعرفنا", "probability": 0.9109700520833334}, {"start": 19.16, "end": 19.38, "word": " ال", "probability": 0.96435546875}, {"start": 19.38, "end": 19.76, "word": " link", "probability": 0.97802734375}, {"start": 19.76, "end": 20.02, "word": " او", "probability": 0.7303466796875}, {"start": 20.02, "end": 20.18, "word": " ال", "probability": 0.8974609375}, {"start": 20.18, "end": 20.68, "word": " kinematic", "probability": 0.7265625}, {"start": 20.68, "end": 21.04, "word": " element", "probability": 0.97607421875}], "temperature": 1.0}, {"id": 2, "seek": 4899, "start": 22.05, "end": 48.99, "text": "هو ال link اللي هو كل part من ال machine اللي بتحرك بالنسبة لل other parts عرفنا resistant body هو الجسم القادر على نقل ال forces بدون ما يصير فيه deformation ال link لازم يكون لها خاصيتين لازم يكون لها حركة نسبية بالنسبة لل links التانية و لازم يكون resistant body ال links تجعل تلت أنواع rigid link, flexible link, fluid link", "tokens": [3224, 2407, 2423, 2113, 13672, 1829, 31439, 28242, 644, 9154, 2423, 3479, 13672, 1829, 39894, 5016, 31747, 20666, 1863, 35457, 3660, 24976, 661, 3166, 6225, 28480, 8315, 20383, 1772, 31439, 25724, 38251, 25062, 18513, 2288, 15844, 8717, 4587, 1211, 2423, 5874, 47525, 11536, 19446, 7251, 9381, 13546, 8978, 3224, 34364, 2423, 2113, 5296, 31377, 2304, 7251, 30544, 5296, 11296, 16490, 33546, 36081, 9957, 5296, 31377, 2304, 7251, 30544, 5296, 11296, 11331, 31747, 3660, 8717, 35457, 10632, 20666, 1863, 35457, 3660, 24976, 6123, 16712, 7649, 10632, 4032, 5296, 31377, 2304, 7251, 30544, 20383, 1772, 2423, 6123, 6055, 7435, 30241, 6055, 1211, 2655, 14739, 14407, 3615, 22195, 2113, 11, 11358, 2113, 11, 9113, 2113], "avg_logprob": -0.12002212389380532, "compression_ratio": 1.8282442748091603, "no_speech_prob": 0.0, "words": [{"start": 22.05, "end": 22.71, "word": "هو", "probability": 0.75244140625}, {"start": 22.71, "end": 22.79, "word": " ال", "probability": 0.87158203125}, {"start": 22.79, "end": 22.99, "word": " link", "probability": 0.9453125}, {"start": 22.99, "end": 23.15, "word": " اللي", "probability": 0.61669921875}, {"start": 23.15, "end": 23.35, "word": " هو", "probability": 0.94970703125}, {"start": 23.35, "end": 23.65, "word": " كل", "probability": 0.9501953125}, {"start": 23.65, "end": 23.95, "word": " part", "probability": 0.939453125}, {"start": 23.95, "end": 24.15, "word": " من", "probability": 0.98974609375}, {"start": 24.15, "end": 24.31, 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"probability": 0.9422200520833334}, {"start": 36.27, "end": 36.39, "word": " يكون", "probability": 0.933349609375}, {"start": 36.39, "end": 36.57, "word": " لها", "probability": 0.921875}, {"start": 36.57, "end": 37.65, "word": " خاصيتين", "probability": 0.975341796875}, {"start": 37.65, "end": 38.33, "word": " لازم", "probability": 0.9680989583333334}, {"start": 38.33, "end": 38.59, "word": " يكون", "probability": 0.899658203125}, {"start": 38.59, "end": 39.09, "word": " لها", "probability": 0.869384765625}, {"start": 39.09, "end": 39.97, "word": " حركة", "probability": 0.9912109375}, {"start": 39.97, "end": 40.39, "word": " نسبية", "probability": 0.9602864583333334}, {"start": 40.39, "end": 40.85, "word": " بالنسبة", "probability": 0.9930419921875}, {"start": 40.85, "end": 41.03, "word": " لل", "probability": 0.728515625}, {"start": 41.03, "end": 41.29, "word": " links", "probability": 0.60205078125}, {"start": 41.29, "end": 41.99, "word": " التانية", "probability": 0.970703125}, {"start": 41.99, "end": 42.35, "word": " و", "probability": 0.76123046875}, {"start": 42.35, "end": 42.51, "word": " لازم", "probability": 0.9417317708333334}, {"start": 42.51, "end": 42.73, "word": " يكون", "probability": 0.8369140625}, {"start": 42.73, "end": 43.15, "word": " resistant", "probability": 0.75634765625}, {"start": 43.15, "end": 43.69, "word": " body", "probability": 0.93701171875}, {"start": 43.69, "end": 45.51, "word": " ال", "probability": 0.974609375}, {"start": 45.51, "end": 45.65, "word": " links", "probability": 0.88623046875}, {"start": 45.65, "end": 45.99, "word": " تجعل", "probability": 0.6083984375}, {"start": 45.99, "end": 46.27, "word": " تلت", "probability": 0.88818359375}, {"start": 46.27, "end": 46.65, "word": " أنواع", "probability": 0.96533203125}, {"start": 46.65, "end": 46.91, "word": " rigid", "probability": 0.697265625}, {"start": 46.91, "end": 47.29, "word": " link,", "probability": 0.7861328125}, {"start": 47.41, "end": 47.75, "word": " flexible", "probability": 0.81201171875}, {"start": 47.75, "end": 48.07, "word": " link,", "probability": 0.9609375}, {"start": 48.23, "end": 48.53, "word": " fluid", "probability": 0.79931640625}, {"start": 48.53, "end": 48.99, "word": " link", "probability": 0.9609375}], "temperature": 1.0}, {"id": 3, "seek": 6004, "start": 50.84, "end": 60.04, "text": "ال structure عبارة عن تجميع من ال .. ال .. ال resistant bodies اللي فيش بين .. فيش حركة .. حركة للأعضاء بالنسبة للأعضاء الأخرى", "tokens": [6027, 3877, 6225, 3555, 9640, 3660, 18871, 6055, 7435, 2304, 40228, 9154, 2423, 4386, 2423, 4386, 2423, 20383, 7510, 13672, 1829, 8978, 8592, 49374, 4386, 8978, 8592, 11331, 31747, 3660, 4386, 11331, 31747, 3660, 24976, 10721, 3615, 11242, 16606, 20666, 1863, 35457, 3660, 24976, 10721, 3615, 11242, 16606, 16247, 34740, 7578], "avg_logprob": -0.08481069639898263, "compression_ratio": 1.4306569343065694, "no_speech_prob": 0.0, "words": [{"start": 50.839999999999996, "end": 51.68, "word": "ال", "probability": 0.9501953125}, {"start": 51.68, "end": 52.18, "word": " structure", "probability": 0.8330078125}, {"start": 52.18, "end": 52.7, "word": " عبارة", "probability": 0.9957275390625}, {"start": 52.7, "end": 52.92, "word": " عن", "probability": 0.99560546875}, {"start": 52.92, "end": 53.46, "word": " تجميع", "probability": 0.9727783203125}, {"start": 53.46, "end": 53.72, "word": " من", "probability": 0.98583984375}, {"start": 53.72, "end": 53.94, "word": " ال", "probability": 0.9853515625}, {"start": 53.94, "end": 53.94, "word": " ..", "probability": 0.5302734375}, {"start": 53.94, "end": 54.36, "word": " ال", "probability": 0.978515625}, {"start": 54.36, "end": 54.36, "word": " ..", "probability": 0.90625}, {"start": 54.36, "end": 54.78, "word": " ال", "probability": 0.9736328125}, {"start": 54.78, "end": 55.28, "word": " resistant", "probability": 0.66259765625}, {"start": 55.28, "end": 55.8, "word": " bodies", "probability": 0.62353515625}, {"start": 55.8, "end": 56.06, "word": " اللي", "probability": 0.87255859375}, {"start": 56.06, "end": 56.28, "word": " فيش", "probability": 0.60986328125}, {"start": 56.28, "end": 56.56, "word": " بين", "probability": 0.89404296875}, {"start": 56.56, "end": 56.9, "word": " ..", "probability": 0.904296875}, {"start": 56.9, "end": 57.2, "word": " فيش", "probability": 0.93505859375}, {"start": 57.2, "end": 57.74, "word": " حركة", "probability": 0.98388671875}, {"start": 57.74, "end": 57.82, "word": " ..", "probability": 0.84716796875}, {"start": 57.82, "end": 58.16, "word": " حركة", "probability": 0.9964192708333334}, {"start": 58.16, "end": 58.68, "word": " للأعضاء", "probability": 0.95888671875}, {"start": 58.68, "end": 59.14, "word": " بالنسبة", "probability": 0.989013671875}, {"start": 59.14, "end": 59.6, "word": " للأعضاء", "probability": 0.97470703125}, {"start": 59.6, "end": 60.04, "word": " الأخرى", "probability": 0.98583984375}], "temperature": 1.0}, {"id": 4, "seek": 8719, "start": 62.33, "end": 87.19, "text": "عملنا مقارنة بين ال machine و ال structure عرفنا ال pair عبارة عن two links of a machine in contact with each other ال kinematic pair ال kinematic pair بيكون ال relative motion between the links is completely or successfully constrained عرفنا أنواع الحركة المقيدة في عندي complete constrained motion في عندي incomplete constrained motion و عندي successfully constrained motion", "tokens": [25957, 1211, 8315, 3714, 4587, 9640, 1863, 3660, 49374, 2423, 3479, 4032, 2423, 3877, 6225, 28480, 8315, 2423, 6119, 6225, 3555, 9640, 3660, 18871, 732, 6123, 295, 257, 3479, 294, 3385, 365, 1184, 661, 2423, 15784, 14911, 6119, 2423, 15784, 14911, 6119, 4724, 1829, 30544, 2423, 4972, 5394, 1296, 264, 6123, 307, 2584, 420, 10727, 38901, 6225, 28480, 8315, 14739, 14407, 3615, 21542, 31747, 3660, 9673, 4587, 25708, 3660, 8978, 18871, 16254, 3566, 38901, 5394, 8978, 18871, 16254, 31709, 38901, 5394, 4032, 18871, 16254, 10727, 38901, 5394], "avg_logprob": -0.1462180367247625, "compression_ratio": 1.9327731092436975, 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336.07, "word": " واحد", "probability": 0.897216796875}, {"start": 336.07, "end": 337.33, "word": " minus", "probability": 0.9482421875}, {"start": 337.33, "end": 337.69, "word": " two", "probability": 0.55029296875}, {"start": 337.69, "end": 338.07, "word": " J", "probability": 0.8388671875}, {"start": 338.07, "end": 339.49, "word": " minus", "probability": 0.98583984375}, {"start": 339.49, "end": 340.41, "word": " H", "probability": 0.95458984375}], "temperature": 1.0}, {"id": 15, "seek": 35661, "start": 343.71, "end": 356.61, "text": "في حالة mechanisms with lower pairs بيصير الان mechanism with lower pairs يعني أكتر السوء السفير بسوء التلاتة في L minus واحد minus اتنين J", "tokens": [41185, 11331, 6027, 3660, 15902, 365, 3126, 15494, 4724, 1829, 9381, 13546, 2423, 7649, 7513, 365, 3126, 15494, 37495, 22653, 5551, 4117, 2655, 2288, 21136, 2407, 38207, 21136, 5172, 13546, 4724, 3794, 2407, 38207, 16712, 1211, 9307, 3660, 8978, 441, 3175, 36764, 24401, 3175, 1975, 2655, 1863, 9957, 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"probability": 0.9005533854166666}], "temperature": 1.0}, {"id": 20, "seek": 50074, "start": 478.24, "end": 500.74, "text": "جربوا أرقام تانية بيطلع عدد Jones اتنين و نصف مافيش اسمه اتنين و نصف Jones في عندى بيكون تلاتة Jones اربعة Jones خمسة Jones بيكون عدد صحيح معناته for a planner mechanism with one degree of freedom system and no higher pairs grab this criteria بتحكي لايمكن يكون عدد ال link فردي لازم يكون زوجي", "tokens": [7435, 25513, 14407, 5551, 2288, 4587, 10943, 6055, 7649, 10632, 4724, 1829, 9566, 1211, 3615, 6225, 3215, 3215, 10512, 1975, 2655, 1863, 9957, 4032, 8717, 9381, 5172, 19446, 41185, 8592, 24525, 2304, 3224, 1975, 2655, 1863, 9957, 4032, 8717, 9381, 5172, 10512, 8978, 43242, 7578, 4724, 1829, 30544, 6055, 1211, 9307, 3660, 10512, 1975, 25513, 27884, 10512, 16490, 2304, 3794, 3660, 10512, 4724, 1829, 30544, 6225, 3215, 3215, 20328, 5016, 1829, 5016, 20449, 8315, 47395, 337, 257, 31268, 7513, 365, 472, 4314, 295, 5645, 1185, 293, 572, 2946, 15494, 4444, 341, 11101, 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0.7532552083333334}, {"start": 485.1, "end": 485.32, "word": " Jones", "probability": 0.73583984375}, {"start": 485.32, "end": 485.7, "word": " خمسة", "probability": 0.857666015625}, {"start": 485.7, "end": 485.86, "word": " Jones", "probability": 0.779296875}, {"start": 485.86, "end": 486.12, "word": " بيكون", "probability": 0.84375}, {"start": 486.12, "end": 486.52, "word": " عدد", "probability": 0.9860026041666666}, {"start": 486.52, "end": 487.26, "word": " صحيح", "probability": 0.9925537109375}, {"start": 487.26, "end": 487.86, "word": " معناته", "probability": 0.95849609375}, {"start": 487.86, "end": 488.48, "word": " for", "probability": 0.763671875}, {"start": 488.48, "end": 488.64, "word": " a", "probability": 0.9658203125}, {"start": 488.64, "end": 488.98, "word": " planner", "probability": 0.74755859375}, {"start": 488.98, "end": 490.7, "word": " mechanism", "probability": 0.56298828125}, {"start": 490.7, "end": 491.18, "word": " with", "probability": 0.8720703125}, 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496.12, "word": " بتحكي", "probability": 0.9578857421875}, {"start": 496.12, "end": 496.6, "word": " لايمكن", "probability": 0.712646484375}, {"start": 496.6, "end": 496.86, "word": " يكون", "probability": 0.98779296875}, {"start": 496.86, "end": 498.18, "word": " عدد", "probability": 0.9889322916666666}, {"start": 498.18, "end": 498.28, "word": " ال", "probability": 0.67529296875}, {"start": 498.28, "end": 498.46, "word": " link", "probability": 0.69287109375}, {"start": 498.46, "end": 499.34, "word": " فردي", "probability": 0.7098795572916666}, {"start": 499.34, "end": 499.72, "word": " لازم", "probability": 0.888671875}, {"start": 499.72, "end": 499.98, "word": " يكون", "probability": 0.98583984375}, {"start": 499.98, "end": 500.74, "word": " زوجي", "probability": 0.91259765625}], "temperature": 1.0}, {"id": 21, "seek": 52749, "start": 501.37, "end": 527.49, "text": "الان ال most simple mechanisms اللي هي عندي ال four bar linkage و ال slider crank mechanism هي أبسط الأليات الموجودة اللي هي ال four bar linkage و ال slider crank mechanism هندرس في ال chapter هذا اللي هو ال four bar linkage", "tokens": [6027, 7649, 2423, 881, 2199, 15902, 13672, 1829, 39896, 18871, 16254, 2423, 1451, 2159, 49118, 4032, 2423, 26046, 21263, 7513, 39896, 5551, 3555, 3794, 9566, 16247, 20292, 9307, 9673, 29245, 23328, 3660, 13672, 1829, 39896, 2423, 1451, 2159, 49118, 4032, 2423, 26046, 21263, 7513, 8032, 41260, 2288, 3794, 8978, 2423, 7187, 23758, 13672, 1829, 31439, 2423, 1451, 2159, 49118], "avg_logprob": -0.2979166532556216, "compression_ratio": 1.879746835443038, "no_speech_prob": 0.0, "words": [{"start": 501.37, "end": 501.83, "word": "الان", "probability": 0.871826171875}, {"start": 501.83, "end": 502.33, "word": " ال", "probability": 0.7392578125}, {"start": 502.33, "end": 502.87, "word": " most", "probability": 0.09954833984375}, {"start": 502.87, "end": 503.57, "word": " simple", "probability": 0.8984375}, {"start": 503.57, "end": 504.23, "word": " mechanisms", "probability": 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507.87, "end": 511.27, "word": " هي", "probability": 0.333984375}, {"start": 511.27, "end": 511.85, "word": " أبسط", "probability": 0.9847412109375}, {"start": 511.85, "end": 512.69, "word": " الأليات", "probability": 0.6996256510416666}, {"start": 512.69, "end": 514.23, "word": " الموجودة", "probability": 0.9837646484375}, {"start": 514.23, "end": 514.87, "word": " اللي", "probability": 0.921875}, {"start": 514.87, "end": 515.05, "word": " هي", "probability": 0.95751953125}, {"start": 515.05, "end": 515.21, "word": " ال", "probability": 0.8720703125}, {"start": 515.21, "end": 515.45, "word": " four", "probability": 0.9326171875}, {"start": 515.45, "end": 515.67, "word": " bar", "probability": 0.9287109375}, {"start": 515.67, "end": 516.15, "word": " linkage", "probability": 0.97900390625}, {"start": 516.15, "end": 516.83, "word": " و", "probability": 0.88134765625}, {"start": 516.83, "end": 517.47, "word": " ال", "probability": 0.60498046875}, {"start": 517.47, "end": 517.83, "word": " slider", "probability": 0.7998046875}, {"start": 517.83, "end": 518.29, "word": " crank", "probability": 0.92919921875}, {"start": 518.29, "end": 518.83, "word": " mechanism", "probability": 0.607421875}, {"start": 518.83, "end": 524.59, "word": " هندرس", "probability": 0.8070068359375}, {"start": 524.59, "end": 525.19, "word": " في", "probability": 0.95068359375}, {"start": 525.19, "end": 525.31, "word": " ال", "probability": 0.49658203125}, {"start": 525.31, "end": 525.61, "word": " chapter", "probability": 0.95556640625}, {"start": 525.61, "end": 525.91, "word": " هذا", "probability": 0.56396484375}, {"start": 525.91, "end": 526.05, "word": " اللي", "probability": 0.987548828125}, {"start": 526.05, "end": 526.25, "word": " هو", "probability": 0.98779296875}, {"start": 526.25, "end": 526.47, "word": " ال", "probability": 0.84033203125}, {"start": 526.47, "end": 526.79, "word": " four", "probability": 0.9501953125}, {"start": 526.79, "end": 527.03, "word": " bar", "probability": 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531.91, "word": " و", "probability": 0.84423828125}, {"start": 531.91, "end": 532.23, "word": " Double", "probability": 0.83251953125}, {"start": 532.23, "end": 532.71, "word": " Slider", "probability": 0.97607421875}, {"start": 532.71, "end": 533.23, "word": " Crank", "probability": 0.9443359375}, {"start": 533.23, "end": 534.11, "word": " Mechanism", "probability": 0.993408203125}, {"start": 534.11, "end": 538.29, "word": " سنبدأ", "probability": 0.7669677734375}, {"start": 538.29, "end": 538.51, "word": " بالـ", "probability": 0.66015625}, {"start": 538.51, "end": 538.81, "word": " four", "probability": 0.44287109375}, {"start": 538.81, "end": 539.07, "word": " bar", "probability": 0.73193359375}, {"start": 539.07, "end": 539.51, "word": " linkage", "probability": 0.98046875}], "temperature": 1.0}, {"id": 23, "seek": 58649, "start": 560.65, "end": 586.49, "text": "هذه الأرض واحد هذه ال link اتنين link تلاتة link اربع هذه نقطة A B C and D وهنا عندي joint وهنا عندي joint الآن عندي a gracious law for a four bar mechanism بيحكي التالي", "tokens": [3224, 24192, 16247, 43042, 36764, 24401, 29538, 2423, 2113, 1975, 2655, 1863, 9957, 2113, 6055, 1211, 9307, 3660, 2113, 1975, 25513, 3615, 29538, 8717, 47432, 3660, 316, 363, 383, 293, 413, 37037, 8315, 18871, 16254, 7225, 37037, 8315, 18871, 16254, 7225, 6024, 48506, 18871, 16254, 257, 1295, 4139, 2101, 337, 257, 1451, 2159, 7513, 4724, 1829, 5016, 4117, 1829, 16712, 6027, 1829], "avg_logprob": -0.3583829393462529, "compression_ratio": 1.475609756097561, "no_speech_prob": 0.0, "words": [{"start": 560.65, "end": 560.97, "word": "هذه", "probability": 0.703857421875}, {"start": 560.97, "end": 561.27, "word": " الأرض", "probability": 0.913330078125}, {"start": 561.27, "end": 561.81, "word": " واحد", "probability": 0.9013671875}, {"start": 561.81, "end": 562.65, "word": " هذه", "probability": 0.1727294921875}, {"start": 562.65, "end": 562.75, "word": " ال", "probability": 0.448974609375}, {"start": 562.75, "end": 562.89, 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{"start": 937.3, "end": 937.56, "word": " يعني", "probability": 0.825927734375}, {"start": 937.56, "end": 937.8, "word": " فيه", "probability": 0.818603515625}, {"start": 937.8, "end": 938.4, "word": " مركز", "probability": 0.8077799479166666}, {"start": 938.4, "end": 938.7, "word": " تقل", "probability": 0.7548828125}, {"start": 938.7, "end": 938.8, "word": " و", "probability": 0.78955078125}, {"start": 938.8, "end": 939.4, "word": " بنتقل", "probability": 0.83544921875}, {"start": 939.4, "end": 940.2, "word": " و", "probability": 0.85107421875}, {"start": 940.2, "end": 940.74, "word": " بسيله", "probability": 0.7066650390625}, {"start": 940.74, "end": 940.94, "word": " برضه", "probability": 0.86474609375}, {"start": 940.94, "end": 941.22, "word": " rotation", "probability": 0.82568359375}, {"start": 941.22, "end": 941.38, "word": " يعني", "probability": 0.82666015625}, {"start": 941.38, "end": 941.48, "word": " فيه", "probability": 0.759033203125}, {"start": 941.48, "end": 942.02, 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"seek": 104035, "start": 1011.28, "end": 1040.36, "text": "معناته هذه أبعد نقطة ممكن يصلها ل slider وهذه أقرب نقطة ممكن يصلها ل slider والمسافة بين أبعد نقطة و أقرب نقطة بسميها short ل stroke لو كان ال radius لل crank R ال stroke هتكون 2R ال stroke هتكون ساوة اتنين R ال R هي ال radius", "tokens": [2304, 3615, 8315, 47395, 29538, 5551, 3555, 22488, 8717, 47432, 3660, 3714, 43020, 7251, 36520, 11296, 5296, 26046, 37037, 24192, 5551, 4587, 25513, 8717, 47432, 3660, 3714, 43020, 7251, 36520, 11296, 5296, 26046, 4032, 45340, 3794, 31845, 3660, 49374, 5551, 3555, 22488, 8717, 47432, 3660, 4032, 5551, 4587, 25513, 8717, 47432, 3660, 4724, 38251, 1829, 11296, 2099, 5296, 12403, 45164, 25961, 2423, 15845, 24976, 21263, 497, 2423, 12403, 8032, 2655, 30544, 568, 49, 2423, 12403, 8032, 2655, 30544, 8608, 995, 2407, 3660, 1975, 2655, 1863, 9957, 497, 2423, 497, 39896, 2423, 15845], "avg_logprob": -0.19136425051637876, "compression_ratio": 1.891304347826087, "no_speech_prob": 0.0, "words": 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"seek": 107316, "start": 1044.28, "end": 1073.16, "text": "of الكرانك اللي هي ال link اتنين ال slider crank mechanism تستخدم لتحويل الحركة الدورانية إلى حركة خطية تذوبية إذا كان ال input عند الكرانك يعني كان هنا في الموتور و تطبيقة هذه مثلا في حالة ال compressors انا براك موتور و انا بالهدف ان احصل عندى piston يتحرك يضغط", "tokens": [2670, 33251, 2288, 7649, 4117, 13672, 1829, 39896, 2423, 2113, 1975, 2655, 1863, 9957, 2423, 26046, 21263, 7513, 6055, 14851, 9778, 40448, 5296, 2655, 5016, 2407, 26895, 21542, 31747, 3660, 32748, 13063, 7649, 10632, 30731, 11331, 31747, 3660, 16490, 9566, 10632, 6055, 8848, 37746, 10632, 11933, 15730, 25961, 2423, 4846, 43242, 33251, 2288, 7649, 4117, 37495, 22653, 25961, 34105, 8978, 9673, 35473, 13063, 4032, 6055, 9566, 21292, 28671, 29538, 50113, 15040, 8978, 11331, 6027, 3660, 2423, 14778, 830, 1975, 8315, 4724, 23557, 4117, 3714, 35473, 13063, 4032, 1975, 8315, 20666, 3224, 3215, 5172, 16472, 1975, 5016, 36520, 43242, 7578, 30002, 7251, 2655, 5016, 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هذا ال link اتنين بين B وC بتيجي link تلاتة بين C", "tokens": [3615, 41260, 430, 43242, 363, 6156, 7649, 16254, 14641, 12447, 4032, 3615, 41260, 383, 6156, 7649, 16254, 14641, 12447, 5296, 33456, 49374, 316, 4032, 33, 8978, 31371, 7435, 1829, 2113, 1975, 2655, 1863, 9957, 23758, 2423, 2113, 1975, 2655, 1863, 9957, 49374, 363, 4032, 34, 4724, 31371, 7435, 1829, 2113, 6055, 1211, 9307, 3660, 49374, 383], "avg_logprob": -0.2575383646446362, "compression_ratio": 1.640625, "no_speech_prob": 0.0, "words": [{"start": 1176.12, "end": 1176.54, "word": "عند", "probability": 0.7607421875}, {"start": 1176.54, "end": 1176.96, "word": " P", "probability": 0.77294921875}, {"start": 1176.96, "end": 1177.78, "word": " عند", "probability": 0.52587890625}, {"start": 1177.78, "end": 1178.2, "word": " B", "probability": 0.66357421875}, {"start": 1178.2, "end": 1180.22, "word": " فاندي", "probability": 0.5653483072916666}, {"start": 1180.22, "end": 1180.66, "word": " partial", "probability": 0.62451171875}, 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تغيير طريقة التثبيت يعني انا حاليا مثبت link رقم واحد بعمل ما يسمى inversion هذي بسميها inversion number one الميكانيزم هذه فيها اربع links يعني هكون اندي inversion number one inversion number two inversion number three inversion number four", "tokens": [2304, 43020, 1975, 5016, 36520, 9154, 8717, 36178, 25062, 1211, 10632, 29538, 15844, 12174, 20292, 9307, 6055, 7649, 10632, 9154, 16490, 1211, 6027, 6055, 17082, 1829, 13546, 23032, 16572, 28671, 16712, 12984, 21292, 2655, 37495, 22653, 1975, 8315, 11331, 6027, 25528, 3714, 12984, 3555, 2655, 2113, 12602, 4587, 2304, 36764, 24401, 4724, 25957, 1211, 19446, 7251, 38251, 7578, 43576, 8032, 8848, 1829, 4724, 38251, 1829, 11296, 43576, 1230, 472, 9673, 1829, 41361, 1829, 11622, 2304, 29538, 8978, 11296, 1975, 25513, 3615, 6123, 37495, 22653, 8032, 30544, 16472, 16254, 43576, 1230, 472, 43576, 1230, 732, 43576, 1230, 1045, 43576, 1230, 1451], "avg_logprob": -0.17899133191250338, "compression_ratio": 1.8766519823788546, "no_speech_prob": 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"temperature": 1.0}, {"id": 50, "seek": 144296, "start": 1425.82, "end": 1442.96, "text": "وعندي هاي block ممكن sliding along this one هذه واحد link واحد هذه link تلاتة وهذه link أربعة", "tokens": [2407, 3615, 1863, 16254, 8032, 47302, 3461, 3714, 43020, 21169, 2051, 341, 472, 29538, 36764, 24401, 2113, 36764, 24401, 29538, 2113, 6055, 1211, 9307, 3660, 37037, 24192, 2113, 5551, 25513, 27884], "avg_logprob": -0.310302734375, "compression_ratio": 1.2201834862385321, "no_speech_prob": 0.0, "words": [{"start": 1425.82, "end": 1426.22, "word": "وعندي", "probability": 0.705810546875}, {"start": 1426.22, "end": 1426.44, "word": " هاي", "probability": 0.47332763671875}, {"start": 1426.44, "end": 1426.84, "word": " block", "probability": 0.88330078125}, {"start": 1426.84, "end": 1429.1, "word": " ممكن", "probability": 0.9755859375}, {"start": 1429.1, "end": 1429.5, "word": " sliding", "probability": 0.394287109375}, {"start": 1429.5, "end": 1429.96, "word": " along", "probability": 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" T", "probability": 0.6396484375}, {"start": 1603.58, "end": 1604.18, "word": " forward", "probability": 0.91162109375}, {"start": 1604.18, "end": 1606.34, "word": " على", "probability": 0.79150390625}, {"start": 1606.34, "end": 1606.7, "word": " ال", "probability": 0.6298828125}, {"start": 1606.7, "end": 1606.98, "word": " T", "probability": 0.98193359375}, {"start": 1606.98, "end": 1608.44, "word": " return", "probability": 0.951171875}], "temperature": 1.0}, {"id": 57, "seek": 163126, "start": 1609.06, "end": 1631.26, "text": "يعني هتكون Alpha على Omega على Beta على Omega يعني هتساوي Alpha على Beta Alpha على Beta لاحظ زاوية Alpha أكبر من زاوية Beta معناته الـ Quick Retain Ratio", "tokens": [40228, 22653, 8032, 2655, 30544, 20588, 15844, 27645, 15844, 33286, 15844, 27645, 37495, 22653, 8032, 2655, 3794, 995, 45865, 20588, 15844, 33286, 20588, 15844, 33286, 20193, 5016, 19913, 30767, 995, 2407, 10632, 20588, 5551, 4117, 26890, 9154, 30767, 995, 2407, 10632, 33286, 20449, 8315, 47395, 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"word": " rank", "probability": 0.9140625}, {"start": 1698.0, "end": 1699.06, "word": " التقليدية", "probability": 0.9689453125}, {"start": 1699.06, "end": 1701.9, "word": " هي", "probability": 0.494384765625}, {"start": 1701.9, "end": 1702.96, "word": " واحد،", "probability": 0.673095703125}, {"start": 1702.96, "end": 1704.46, "word": " اتنين،", "probability": 0.8966796875}, {"start": 1704.46, "end": 1706.06, "word": " تلاتة،", "probability": 0.96923828125}, {"start": 1706.06, "end": 1706.58, "word": " اربعة", "probability": 0.84912109375}, {"start": 1706.58, "end": 1708.42, "word": " A,", "probability": 0.38623046875}, {"start": 1708.56, "end": 1709.78, "word": " B,", "probability": 0.640625}, {"start": 1710.54, "end": 1711.72, "word": " C,", "probability": 0.9638671875}, {"start": 1712.3, "end": 1713.6, "word": " D", "probability": 0.9775390625}, {"start": 1713.6, "end": 1715.26, "word": " اكوين", "probability": 0.41546630859375}, {"start": 1715.26, "end": 1715.72, "word": " 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"probability": 0.453125}, {"start": 2032.46, "end": 2033.92, "word": " mechanism", "probability": 0.81591796875}], "temperature": 1.0}, {"id": 71, "seek": 206298, "start": 2035.14, "end": 2062.98, "text": "برضه في فعل ال model في simulation video تطلع عليه بتفرجينا simulation ب 2D تطلع عليه اللي هو سميه هادي inversion number three inversion number three inversion number four inversion number four", "tokens": [26890, 11242, 3224, 8978, 6156, 30241, 2423, 2316, 8978, 16575, 960, 6055, 9566, 1211, 3615, 47356, 39894, 5172, 47341, 1829, 8315, 16575, 4724, 568, 35, 6055, 9566, 1211, 3615, 47356, 13672, 1829, 31439, 8608, 2304, 1829, 3224, 8032, 995, 16254, 43576, 1230, 1045, 43576, 1230, 1045, 43576, 1230, 1451, 43576, 1230, 1451], "avg_logprob": -0.3036556491311991, "compression_ratio": 1.7132867132867133, "no_speech_prob": 0.0, "words": [{"start": 2035.14, "end": 2035.6, "word": "برضه", "probability": 0.766845703125}, {"start": 2035.6, "end": 2035.78, "word": " في", "probability": 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B وعندي هنا", "tokens": [3615, 1863, 16254, 29538, 8717, 47432, 3660, 383, 29538, 2423, 39184, 383, 37037, 1829, 18871, 16254, 363, 4032, 3615, 1863, 16254, 34105], "avg_logprob": -0.42017662525177, "compression_ratio": 1.2380952380952381, "no_speech_prob": 0.0, "words": [{"start": 2127.33, "end": 2127.67, "word": "عندي", "probability": 0.744873046875}, {"start": 2127.67, "end": 2127.79, "word": " هذه", "probability": 0.284423828125}, {"start": 2127.79, "end": 2128.11, "word": " نقطة", "probability": 0.9563802083333334}, {"start": 2128.11, "end": 2128.53, "word": " C", "probability": 0.8037109375}, {"start": 2128.53, "end": 2133.41, "word": " هذه", "probability": 0.50146484375}, {"start": 2133.41, "end": 2135.71, "word": " الـ", "probability": 0.4910888671875}, {"start": 2135.71, "end": 2135.71, "word": " C", "probability": 0.80419921875}, {"start": 2135.71, "end": 2139.15, "word": " وهي", "probability": 0.4998779296875}, {"start": 2139.15, "end": 2139.51, "word": " عندي", 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هنا في rotation block ممكن تصير بهذا الاتجاه", "tokens": [3224, 1829, 257, 2113, 1975, 2655, 1863, 9957, 6225, 41260, 1829, 257, 257, 4032, 257, 8978, 11296, 34105, 8978, 12447, 3461, 3714, 43020, 6055, 9381, 13546, 39627, 15730, 2423, 9307, 7435, 40294], "avg_logprob": -0.3302556818181818, "compression_ratio": 1.1238095238095238, "no_speech_prob": 0.0, "words": [{"start": 2236.26, "end": 2236.62, "word": "هي", "probability": 0.6312255859375}, {"start": 2236.62, "end": 2237.12, "word": " a", "probability": 0.337890625}, {"start": 2237.12, "end": 2238.74, "word": " link", "probability": 0.62939453125}, {"start": 2238.74, "end": 2239.12, "word": " اتنين", "probability": 0.8558349609375}, {"start": 2239.12, "end": 2239.58, "word": " عندي", "probability": 0.4701334635416667}, {"start": 2239.58, "end": 2240.1, "word": " a", "probability": 0.84130859375}, {"start": 2240.1, "end": 2243.3, "word": " a", "probability": 0.263427734375}, {"start": 2243.3, "end": 2244.56, "word": " و", 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بثبت link تاني بحصل على ال new mechanism بالطريقة هذه ال study crank mechanism عبارة عن أربع mechanisms مختلفة ب different inversions طبعا الحركة النسبية بين ال links ما بتتغير لكن الحركة المطلقة لكل link بتتغير تغير جذري بتغير ال inversion", "tokens": [2304, 3615, 8315, 47395, 2423, 43576, 41850, 4724, 10721, 2304, 3794, 4117, 3714, 1829, 41361, 11622, 2304, 4724, 10721, 2288, 9778, 1829, 2423, 2113, 9673, 12984, 3555, 2655, 3660, 4724, 10721, 2288, 9778, 1829, 2423, 2113, 9673, 12984, 3555, 2655, 3660, 4032, 4724, 12984, 3555, 2655, 2113, 6055, 7649, 1829, 4724, 5016, 36520, 15844, 2423, 777, 7513, 20666, 9566, 16572, 28671, 29538, 2423, 2979, 21263, 7513, 6225, 3555, 9640, 3660, 18871, 5551, 25513, 3615, 15902, 3714, 46456, 46538, 3660, 4724, 819, 21378, 626, 23032, 3555, 3615, 995, 21542, 31747, 3660, 28239, 35457, 10632, 49374, 2423, 6123, 19446, 39894, 2655, 17082, 13546, 44381, 21542, 31747, 3660, 9673, 9566, 1211, 28671, 5296, 28820, 2113, 39894, 2655, 17082, 13546, 6055, 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point will generate an ellipse عشانك بيسميها elliptical tremor", "tokens": [5172, 2407, 46958, 5016, 16472, 28239, 47432, 3660, 430, 29538, 39894, 2288, 38251, 32239, 8284, 48041, 6225, 8592, 7649, 4117, 4724, 1829, 38251, 2407, 11296, 8284, 22439, 804, 7813, 284, 8284, 22439, 804, 7813, 284, 5296, 7649, 498, 321, 13508, 257, 935, 322, 2113, 13838, 341, 935, 486, 8460, 364, 8284, 48041, 6225, 8592, 7649, 4117, 4724, 1829, 38251, 1829, 11296, 8284, 22439, 804, 7813, 284], "avg_logprob": -0.1922807800236033, "compression_ratio": 1.5649350649350648, "no_speech_prob": 0.0, "words": [{"start": 2810.65, "end": 2811.29, "word": "فواضح", "probability": 0.9700927734375}, {"start": 2811.29, "end": 2811.59, "word": " ان", "probability": 0.5693359375}, {"start": 2811.59, "end": 2812.73, "word": " النقطة", "probability": 0.89697265625}, {"start": 2812.73, "end": 2812.93, "word": " P", "probability": 0.77880859375}, {"start": 2812.93, "end": 2813.31, "word": " هذه", "probability": 0.242431640625}, 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اربعة", "probability": 0.7696940104166666}], "temperature": 1.0}, {"id": 107, "seek": 311591, "start": 3096.11, "end": 3115.91, "text": "يعني P بين أربعة ممكن احكي ان عندي هين C و هين D هى هى دي C sliding sliding pair و عندي هين D another sliding pair يعني اللى سويته انا فكت", "tokens": [40228, 22653, 430, 49374, 5551, 25513, 27884, 3714, 43020, 1975, 5016, 4117, 1829, 16472, 18871, 16254, 8032, 9957, 383, 4032, 8032, 9957, 413, 8032, 7578, 8032, 7578, 11778, 1829, 383, 21169, 21169, 6119, 4032, 18871, 16254, 8032, 9957, 413, 1071, 21169, 6119, 37495, 22653, 13672, 7578, 8608, 2407, 36081, 3224, 1975, 8315, 6156, 4117, 2655], "avg_logprob": -0.2836216374167374, "compression_ratio": 1.489051094890511, "no_speech_prob": 0.0, "words": [{"start": 3096.11, "end": 3096.45, "word": "يعني", "probability": 0.863525390625}, {"start": 3096.45, "end": 3097.07, "word": " P", "probability": 0.84765625}, {"start": 3097.07, "end": 3097.57, "word": " بين", "probability": 0.97900390625}, {"start": 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one", "probability": 0.9423828125}, {"start": 3155.07, "end": 3155.43, "word": " revolute", "probability": 0.827880859375}, {"start": 3155.43, "end": 3155.73, "word": " pair", "probability": 0.93017578125}, {"start": 3155.73, "end": 3155.89, "word": " و", "probability": 0.880859375}, {"start": 3155.89, "end": 3156.07, "word": " عندهين", "probability": 0.8287760416666666}, {"start": 3156.07, "end": 3156.63, "word": " one", "probability": 0.92041015625}, {"start": 3156.63, "end": 3157.61, "word": " revolute", "probability": 0.943359375}, {"start": 3157.61, "end": 3158.15, "word": " pair", "probability": 0.93017578125}, {"start": 3158.15, "end": 3160.01, "word": " طبعا", "probability": 0.986572265625}], "temperature": 1.0}, {"id": 110, "seek": 318723, "start": 3161.21, "end": 3187.23, "text": "سكوتش يوك إذا كتبعت نقطة يعني النقطة هيكون سقاط النقطة هذه سقاط هيعطيني simple harmonic motion هذه one inversion of the slider crank mechanism another inversion of this of the double slider crank mechanism إيش بنسميه old hams coupling", "tokens": [3794, 4117, 35473, 8592, 7251, 2407, 4117, 11933, 15730, 9122, 2655, 3555, 34268, 8717, 47432, 3660, 37495, 22653, 28239, 47432, 3660, 39896, 30544, 8608, 4587, 41193, 28239, 47432, 3660, 29538, 8608, 4587, 41193, 39896, 3615, 9566, 9957, 1829, 2199, 32270, 5394, 29538, 472, 43576, 295, 264, 26046, 21263, 7513, 1071, 43576, 295, 341, 295, 264, 3834, 26046, 21263, 7513, 11933, 1829, 8592, 44945, 38251, 1829, 3224, 1331, 276, 4070, 37447], "avg_logprob": -0.3173415551722889, "compression_ratio": 1.6310160427807487, "no_speech_prob": 0.0, "words": [{"start": 3161.21, "end": 3162.11, "word": "سكوتش", "probability": 0.668701171875}, {"start": 3162.11, "end": 3162.63, "word": " يوك", "probability": 0.8271484375}, {"start": 3162.63, "end": 3162.87, "word": " إذا", "probability": 0.674560546875}, {"start": 3162.87, "end": 3163.39, "word": " كتبعت", "probability": 0.83099365234375}, {"start": 3163.39, "end": 3163.71, "word": " نقطة", 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coupling فى old ham coupling بقى ثبت link 2 يعني هسير كتال يعني دي الوضع هي link 2 بقى ثبتها", "tokens": [5172, 7578, 1331, 7852, 37447, 6156, 7578, 1331, 7852, 37447, 4724, 4587, 7578, 38637, 3555, 2655, 2113, 568, 37495, 22653, 8032, 3794, 13546, 9122, 2655, 6027, 37495, 22653, 11778, 1829, 2423, 2407, 11242, 3615, 39896, 2113, 568, 4724, 4587, 7578, 38637, 3555, 2655, 11296], "avg_logprob": -0.2578125, "compression_ratio": 1.3904761904761904, "no_speech_prob": 0.0, "words": [{"start": 3193.63, "end": 3193.91, "word": "فى", "probability": 0.50164794921875}, {"start": 3193.91, "end": 3194.25, "word": " old", "probability": 0.55712890625}, {"start": 3194.25, "end": 3194.53, "word": " ham", "probability": 0.6005859375}, {"start": 3194.53, "end": 3195.15, "word": " coupling", "probability": 0.94873046875}, {"start": 3195.15, "end": 3196.35, "word": " فى", "probability": 0.848388671875}, {"start": 3196.35, "end": 3196.57, "word": " old", "probability": 0.89599609375}, {"start": 3196.57, 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3660, 2423, 11296, 12447, 2423, 11296, 12447, 4032, 8978, 43242, 12602, 4587, 2304, 36764, 24401], "avg_logprob": -0.2221679755796989, "compression_ratio": 1.2432432432432432, "no_speech_prob": 0.0, "words": [{"start": 3301.34, "end": 3301.6, "word": "و", "probability": 0.60595703125}, {"start": 3301.6, "end": 3301.82, "word": " في", "probability": 0.5654296875}, {"start": 3301.82, "end": 3302.84, "word": " رقم", "probability": 0.9884440104166666}, {"start": 3302.84, "end": 3304.48, "word": " تلاتة", "probability": 0.945068359375}, {"start": 3304.48, "end": 3306.32, "word": " الها", "probability": 0.501953125}, {"start": 3306.32, "end": 3306.9, "word": " rotation", "probability": 0.86181640625}, {"start": 3306.9, "end": 3311.0, "word": " الها", "probability": 0.794921875}, {"start": 3311.0, "end": 3312.34, "word": " rotation", "probability": 0.953125}, {"start": 3312.34, "end": 3315.22, "word": " و", "probability": 0.79638671875}, {"start": 3315.22, "end": 3315.38, "word": " في", 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groove وهنا في عندي بروز وفي groove", "tokens": [3224, 24192, 45164, 8608, 2304, 36081, 11296, 29538, 2423, 2113, 36764, 24401, 37037, 24192, 2423, 2113, 6055, 1211, 9307, 3660, 37037, 24192, 2423, 2113, 5551, 25513, 27884, 5296, 5016, 19913, 3660, 8978, 34105, 18871, 16254, 26910, 37037, 8315, 8978, 18871, 16254, 4724, 32887, 11622, 4032, 41185, 26910], "avg_logprob": -0.28483073351283866, "compression_ratio": 1.5819672131147542, "no_speech_prob": 0.0, "words": [{"start": 3409.19, "end": 3409.51, "word": "هذه", "probability": 0.646240234375}, {"start": 3409.51, "end": 3409.61, "word": " لو", "probability": 0.93701171875}, {"start": 3409.61, "end": 3410.07, "word": " سميتها", "probability": 0.970458984375}, {"start": 3410.07, "end": 3410.19, "word": " هذه", "probability": 0.271728515625}, {"start": 3410.19, "end": 3410.31, "word": " ال", "probability": 0.409912109375}, {"start": 3410.31, "end": 3410.43, "word": " link", "probability": 0.9501953125}, {"start": 3410.43, "end": 3410.97, 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"probability": 0.330810546875}, {"start": 3428.57, "end": 3428.91, "word": " هذا", "probability": 0.8017578125}, {"start": 3428.91, "end": 3429.33, "word": " وفيه", "probability": 0.74853515625}, {"start": 3429.33, "end": 3429.69, "word": " بروز", "probability": 0.8751627604166666}, {"start": 3429.69, "end": 3430.13, "word": " مقابل", "probability": 0.86767578125}, {"start": 3430.13, "end": 3430.27, "word": " من", "probability": 0.525390625}, {"start": 3430.27, "end": 3430.35, "word": " ال", "probability": 0.720703125}, {"start": 3430.35, "end": 3430.53, "word": " link", "probability": 0.6015625}, {"start": 3430.53, "end": 3430.87, "word": " هذه", "probability": 0.6455078125}, {"start": 3430.87, "end": 3431.55, "word": " معناته", "probability": 0.720458984375}, {"start": 3431.55, "end": 3432.21, "word": " هذه", "probability": 0.467529296875}, {"start": 3432.21, "end": 3432.55, "word": " بيصير", "probability": 0.78515625}, {"start": 3432.55, "end": 3432.99, "word": " sliding", "probability": 0.90966796875}, {"start": 3432.99, "end": 3433.73, "word": " بالنسبة", "probability": 0.9786376953125}, {"start": 3433.73, "end": 3434.25, "word": " لهذه", "probability": 0.927734375}, {"start": 3434.25, "end": 3434.69, "word": " وهذه", "probability": 0.806396484375}, {"start": 3434.69, "end": 3435.33, "word": " complete", "probability": 0.43115234375}, {"start": 3435.33, "end": 3435.85, "word": " rotation", "probability": 0.955078125}, {"start": 3435.85, "end": 3436.07, "word": " وهذه", "probability": 0.83447265625}, {"start": 3436.07, "end": 3436.57, "word": " complete", "probability": 0.84228515625}, {"start": 3436.57, "end": 3437.75, "word": " rotation", "probability": 0.9677734375}, {"start": 3437.75, "end": 3438.55, "word": " برضه", "probability": 0.9541015625}, {"start": 3438.55, "end": 3438.67, "word": " في", "probability": 0.89111328125}, {"start": 3438.67, "end": 3439.33, "word": " simulation", "probability": 0.60205078125}, {"start": 3439.33, "end": 3440.15, "word": " على", "probability": 0.697265625}, {"start": 3440.15, "end": 3440.27, "word": " ال", "probability": 0.76953125}, {"start": 3440.27, "end": 3440.55, "word": " model", "probability": 0.7763671875}, {"start": 3440.55, "end": 3441.11, "word": " تفرجوا", "probability": 0.9288330078125}, {"start": 3441.11, "end": 3441.23, "word": " على", "probability": 0.9111328125}, {"start": 3441.23, "end": 3441.69, "word": " الفيديو", "probability": 0.9361572265625}, {"start": 3441.69, "end": 3442.51, "word": " عشان", "probability": 0.9728190104166666}, {"start": 3442.51, "end": 3442.89, "word": " تشوفوا", "probability": 0.9888916015625}, {"start": 3442.89, "end": 3443.03, "word": " ال", "probability": 0.724609375}, {"start": 3443.03, "end": 3443.49, "word": " simulation", "probability": 0.95751953125}, {"start": 3443.49, "end": 3443.91, "word": " بتاع", "probability": 0.6396484375}, {"start": 3443.91, "end": 3444.13, "word": " ال", "probability": 0.94287109375}, {"start": 3444.13, "end": 3444.43, "word": " mechanism", "probability": 0.798828125}, {"start": 3444.43, "end": 3444.81, "word": " هذا", "probability": 0.2054443359375}, {"start": 3444.81, "end": 3446.43, "word": " هيك", "probability": 0.4599609375}, {"start": 3446.43, "end": 3446.61, "word": " بتكون", "probability": 0.76708984375}, {"start": 3446.61, "end": 3447.15, "word": " خلصنا", "probability": 0.9827880859375}, {"start": 3447.15, "end": 3447.59, "word": " chapter", "probability": 0.431396484375}, {"start": 3447.59, "end": 3448.87, "word": " تلاتة", "probability": 0.83935546875}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3450.69425, "duration_after_vad": 2840.498124999988}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/OFpd2-DTfv4_raw.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/OFpd2-DTfv4_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..31c8f16d114f40fc945c0ce99b8db2af6edba0e2
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/OFpd2-DTfv4_raw.srt
@@ -0,0 +1,2016 @@
+1
+00:00:04,940 --> 00:00:08,240
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,240 --> 00:00:13,240
+وبركاته اليوم هنستكمل chapter خمسة اللي هي القليات
+
+3
+00:00:13,240 --> 00:00:19,760
+البسيطة نرجع نراجع المحاضرة الفاتة تعرفنا ال link
+
+4
+00:00:19,760 --> 00:00:23,950
+او ال kinematic elementهو ال link اللي هو كل part
+
+5
+00:00:23,950 --> 00:00:28,030
+من ال machine اللي بتحرك بالنسبة لل other parts
+
+6
+00:00:28,030 --> 00:00:32,890
+عرفنا resistant body هو الجسم القادر على نقل ال
+
+7
+00:00:32,890 --> 00:00:36,270
+forces بدون ما يصير فيه deformation ال link لازم
+
+8
+00:00:36,270 --> 00:00:40,850
+يكون لها خاصيتين لازم يكون لها حركة نسبية بالنسبة
+
+9
+00:00:40,850 --> 00:00:45,510
+لل links التانية و لازم يكون resistant body ال
+
+10
+00:00:45,510 --> 00:00:48,070
+links تجعل تلت أنواع rigid link, flexible link,
+
+11
+00:00:48,230 --> 00:00:54,360
+fluid linkال structure عبارة عن تجميع من ال .. ال
+
+12
+00:00:54,360 --> 00:00:57,820
+.. ال resistant bodies اللي فيش بين .. فيش حركة ..
+
+13
+00:00:57,820 --> 00:01:03,210
+حركة للأعضاء بالنسبة للأعضاء الأخرىعملنا مقارنة
+
+14
+00:01:03,210 --> 00:01:06,750
+بين ال machine و ال structure عرفنا ال pair عبارة
+
+15
+00:01:06,750 --> 00:01:09,570
+عن two links of a machine in contact with each
+
+16
+00:01:09,570 --> 00:01:14,430
+other ال kinematic pair ال kinematic pair بيكون ال
+
+17
+00:01:14,430 --> 00:01:17,530
+relative motion between the links is completely or
+
+18
+00:01:17,530 --> 00:01:20,850
+successfully constrained عرفنا أنواع الحركة
+
+19
+00:01:20,850 --> 00:01:23,830
+المقيدة في عندي complete constrained motion في
+
+20
+00:01:23,830 --> 00:01:25,570
+عندي incomplete constrained motion و عندي
+
+21
+00:01:25,570 --> 00:01:27,190
+successfully constrained motion
+
+22
+00:01:30,700 --> 00:01:35,620
+عملنا classification of kinematics pairs according
+
+23
+00:01:35,620 --> 00:01:38,880
+to type of relative motion between the elements او
+
+24
+00:01:38,880 --> 00:01:41,140
+according to the type of contact between elements
+
+25
+00:01:41,140 --> 00:01:45,260
+او according to the type of closure التصنيف الاول
+
+26
+00:01:45,260 --> 00:01:48,420
+طبقا لنوع الحركة بين ال elements اللي هو فيه عند
+
+27
+00:01:48,420 --> 00:01:51,460
+sliding pair او prismatic pair عند turning pair او
+
+28
+00:01:51,460 --> 00:01:54,620
+ما يسمى revolute pair rolling pair و screw pair و
+
+29
+00:01:54,620 --> 00:01:57,580
+spherical pairفي according to type of contact يكون
+
+30
+00:01:57,580 --> 00:02:00,420
+عند ال lower pair يكون ال contact along a surface
+
+31
+00:02:00,420 --> 00:02:04,240
+و في عند ال higher pair يكون ال contact along a
+
+32
+00:02:04,240 --> 00:02:06,840
+line or a point في عند according to type of
+
+33
+00:02:06,840 --> 00:02:09,840
+closure self closed pair و force closed pair
+
+34
+00:02:16,850 --> 00:02:19,610
+الـ kinematic chain حكينا هي عبارة عن combination
+
+35
+00:02:19,610 --> 00:02:23,290
+of kinematic pairs joined in such a way that each
+
+36
+00:02:23,290 --> 00:02:28,690
+link forms a part of two pairs الحركة النسبية بين
+
+37
+00:02:28,690 --> 00:02:32,090
+ال links or elements in the kinematic chain is
+
+38
+00:02:32,090 --> 00:02:34,470
+completely or successfully constrained
+
+39
+00:02:39,650 --> 00:02:42,950
+في الـ kinematic chain إذا هي kinematic chain لازم
+
+40
+00:02:42,950 --> 00:02:45,670
+يكون عدد اللينكات في علاقة بين عدد اللينكات وال
+
+41
+00:02:45,670 --> 00:02:50,590
+number of pairs ال بيستوى اتنين P minus four وفي
+
+42
+00:02:50,590 --> 00:02:53,470
+علاقة بين number of links and number of joints J
+
+43
+00:02:53,470 --> 00:02:56,690
+بيستوى واحد و نص ال ناقص اتنين طبعا المعادلة هذه
+
+44
+00:02:56,690 --> 00:03:00,470
+والمعادلة السابقة تنطبق في حالة ال lower pairs
+
+45
+00:03:05,000 --> 00:03:09,300
+طبعا each higher pair يعادل two lower pairs plus a
+
+46
+00:03:09,300 --> 00:03:17,140
+link حلينا مجموعة من الأمثلة الان اتعرفنا على
+
+47
+00:03:17,140 --> 00:03:20,640
+الأنواع ال joints في عندى binary joints يعني بيكون
+
+48
+00:03:20,640 --> 00:03:24,670
+عندى two links joined at the same pointفي عند
+
+49
+00:03:24,670 --> 00:03:28,050
+وصلات ثلاثية بيكون تلاتة links joined at the same
+
+50
+00:03:28,050 --> 00:03:34,510
+point وفي عند وصلات ربعية بتكون عند النقطة الواحدة
+
+51
+00:03:34,510 --> 00:03:39,970
+موصل اربع .. اربع links طبعا في حالة ال .. ال ..
+
+52
+00:03:39,970 --> 00:03:46,620
+ال .. ال .. الوصلات الثلاثيةبكون عندى الكل وصلة
+
+53
+00:03:46,620 --> 00:03:52,080
+ثلاثية تعادل اتنين اتنين وصلة ثنائية وكل وصلة
+
+54
+00:03:52,080 --> 00:03:56,500
+ربعية تعادل تلت وصلة ثنائية حلينا نجمع الأمثلة
+
+55
+00:03:56,500 --> 00:03:59,920
+اعرفنا
+
+56
+00:03:59,920 --> 00:04:02,280
+ال mechanism حكي الميكانيز هي one ال mechanism هي
+
+57
+00:04:02,280 --> 00:04:06,640
+عبارة عن كلمة chain in which one of the lengths is
+
+58
+00:04:06,640 --> 00:04:11,880
+fixed ال mechanism is used for transmitting or
+
+59
+00:04:11,880 --> 00:04:13,840
+transformation of motion
+
+60
+00:04:17,430 --> 00:04:20,010
+أعرفنا degrees of freedom هي number of input
+
+61
+00:04:20,010 --> 00:04:22,890
+parameters which must be independently controlled
+
+62
+00:04:22,890 --> 00:04:24,950
+in order to bring the mechanism into a useful
+
+63
+00:04:24,950 --> 00:04:28,870
+engineering purpose اتعرفنا أجمع من الانكات ال
+
+64
+00:04:28,870 --> 00:04:31,890
+four bar linkage is one degree of freedom system و
+
+65
+00:04:31,890 --> 00:04:35,970
+five linkages is two degrees of freedom system
+
+66
+00:04:35,970 --> 00:04:40,850
+طبعا في علاقة بين number of degrees of freedom
+
+67
+00:04:43,450 --> 00:04:46,470
+و ال number of links و ال number of joints ال N هي
+
+68
+00:04:46,470 --> 00:04:48,770
+number of degrees of freedom بيستوى تلاتة في L
+
+69
+00:04:48,770 --> 00:04:52,790
+ناقص واحد minus اتنين J minus H ال N هي degrees of
+
+70
+00:04:52,790 --> 00:04:55,910
+freedom L هي number of links J هي number of lower
+
+71
+00:04:55,910 --> 00:05:01,550
+pairs joints و ال H هي number of higher pairs هذا
+
+72
+00:05:01,550 --> 00:05:04,430
+تسمى code spec criterion for mobility of a
+
+73
+00:05:04,430 --> 00:05:08,050
+mechanism in plan motion حللوا يا جماعة عن الأمثلة
+
+74
+00:05:14,870 --> 00:05:20,270
+لحد هنا وصلنا لان في اشي اسمه ما يسمى grappler's
+
+75
+00:05:20,270 --> 00:05:25,650
+criterion for plan for plan mechanism المعادلة
+
+76
+00:05:25,650 --> 00:05:32,630
+السابقة اللي هي N بالساوية
+
+77
+00:05:32,630 --> 00:05:40,410
+تلاتة في L minus واحد minus two J minus H
+
+78
+00:05:43,710 --> 00:05:48,490
+في حالة mechanisms with lower pairs بيصير الان
+
+79
+00:05:48,490 --> 00:05:51,530
+mechanism with lower pairs يعني أكتر السوء السفير
+
+80
+00:05:51,530 --> 00:05:56,610
+بسوء التلاتة في L minus واحد minus اتنين J
+
+81
+00:06:05,520 --> 00:06:09,460
+الآن Grabler's criterion applies to mechanisms
+
+82
+00:06:09,460 --> 00:06:11,860
+with only single degrees of freedom يعني تكون الان
+
+83
+00:06:11,860 --> 00:06:18,160
+بالساوية واحد و no higher pairs يعني الان بالساوية
+
+84
+00:06:18,160 --> 00:06:23,720
+واحد بالساوية تلاتة في L minus واحد minus اتنين J
+
+85
+00:06:23,720 --> 00:06:28,580
+خلينا نفكر حسينا اندي واحد بالساوية تلاتة L minus
+
+86
+00:06:28,580 --> 00:06:36,310
+تلاتة minus اتنين J يعني انا عندي التلاتةالـ minus
+
+87
+00:06:36,310 --> 00:06:45,210
+اتنين J minus اربعة بتساوي سفر هذي بيسميها
+
+88
+00:06:45,210 --> 00:06:50,070
+grablers criteria for plan mechanisms with one
+
+89
+00:06:50,070 --> 00:06:56,030
+degree of freedom grablers
+
+90
+00:06:56,030 --> 00:06:59,210
+criteria for one degree of freedom systems بتحكي
+
+91
+00:06:59,210 --> 00:07:07,200
+التاليلا يمكن يكون عدد ال linkات odd فردي لا يمكن
+
+92
+00:07:07,200 --> 00:07:13,200
+يكون عدد ال linkات فردي خلي انا احاول انبسط
+
+93
+00:07:13,200 --> 00:07:18,720
+المعادلة هذه حسنا دي اتنين جي بالثواب تلاتة ال
+
+94
+00:07:18,720 --> 00:07:24,880
+minus اربعة يعني جي بالثواب واحد و نص ال minus
+
+95
+00:07:24,880 --> 00:07:30,220
+اتنين انجرب عدد ال linkات فردي هاي ال
+
+96
+00:07:33,550 --> 00:07:38,370
+و J نبدأ من تلاتة اذا number of links تلاتة واحد و
+
+97
+00:07:38,370 --> 00:07:42,730
+نص في تلاتة اربعة و نص ناقص اتنين و نص نين و نص
+
+98
+00:07:42,730 --> 00:07:52,450
+زوجي اربعة واحد و نص في اربعة ستة ناقص اتنين اربعة
+
+99
+00:07:52,450 --> 00:07:59,560
+الان في حالة عدد ال links فرديجربوا أرقام تانية
+
+100
+00:07:59,560 --> 00:08:02,940
+بيطلع عدد Jones اتنين و نصف مافيش اسمه اتنين و نصف
+
+101
+00:08:02,940 --> 00:08:05,700
+Jones في عندى بيكون تلاتة Jones اربعة Jones خمسة
+
+102
+00:08:05,700 --> 00:08:08,980
+Jones بيكون عدد صحيح معناته for a planner
+
+103
+00:08:08,980 --> 00:08:13,280
+mechanism with one degree of freedom system and no
+
+104
+00:08:13,280 --> 00:08:16,860
+higher pairs grab this criteria بتحكي لايمكن يكون
+
+105
+00:08:16,860 --> 00:08:23,570
+عدد ال link فردي لازم يكون زوجيالان ال most simple
+
+106
+00:08:23,570 --> 00:08:26,510
+mechanisms اللي هي عندي ال four bar linkage و ال
+
+107
+00:08:26,510 --> 00:08:31,270
+slider crank mechanism هي
+
+108
+00:08:31,270 --> 00:08:36,150
+أبسط الأليات الموجودة اللي هي ال four bar linkage
+
+109
+00:08:36,150 --> 00:08:44,590
+و ال slider crank mechanism هندرس
+
+110
+00:08:44,590 --> 00:08:49,330
+في ال chapter هذا اللي هو ال four bar linkageو
+
+111
+00:08:49,330 --> 00:08:52,710
+Single Slider Crank Mechanism و Double Slider
+
+112
+00:08:52,710 --> 00:08:58,290
+Crank Mechanism سنبدأ
+
+113
+00:08:58,290 --> 00:08:59,510
+بالـ four bar linkage
+
+114
+00:09:20,650 --> 00:09:26,010
+هذه الأرض واحد هذه ال link اتنين link تلاتة link
+
+115
+00:09:26,010 --> 00:09:34,970
+اربع هذه نقطة A B C and D وهنا عندي joint وهنا
+
+116
+00:09:34,970 --> 00:09:41,050
+عندي joint الآن
+
+117
+00:09:41,050 --> 00:09:45,970
+عندي a gracious law for a four bar mechanism بيحكي
+
+118
+00:09:45,970 --> 00:09:46,490
+التالي
+
+119
+00:09:49,460 --> 00:09:54,080
+عشان الـ crank اللي هي ال driving link تعمل
+
+120
+00:09:54,080 --> 00:09:57,880
+complete rotation تعمل complete rotation دورة
+
+121
+00:09:57,880 --> 00:10:04,040
+كاملة لازم يكون مجموع أقصر ال link و أطول ال link
+
+122
+00:10:04,040 --> 00:10:10,100
+أقل من ال remaining two other links يعني خلينا نحط
+
+123
+00:10:10,100 --> 00:10:17,440
+أطول مثلا لو كانت هذه مية هذه
+
+124
+00:10:17,440 --> 00:10:27,120
+خمسينهذه مية و عشرين وهذه تمانين اقصر link ايش يا
+
+125
+00:10:27,120 --> 00:10:36,340
+خمسين و اطول link مية و عشرين خمسين زي مية و عشرين
+
+126
+00:10:36,340 --> 00:10:45,740
+ال shortest shortest زي
+
+127
+00:10:45,740 --> 00:10:46,300
+ال longest
+
+128
+00:10:49,720 --> 00:10:56,400
+اللي هي عندي خمسين زائد مية و عشرين يعني مية و
+
+129
+00:10:56,400 --> 00:11:02,160
+سبعين ال remaining ال other ال sum of the
+
+130
+00:11:02,160 --> 00:11:06,440
+remainder المتبقى
+
+131
+00:11:06,440 --> 00:11:14,980
+هيكون في عنده اللي هي مية زائد تمانينمية زائد
+
+132
+00:11:14,980 --> 00:11:20,060
+تمانين بيساوي مية و تمانين لاحظوا مجموع ال
+
+133
+00:11:20,060 --> 00:11:23,880
+shortest زاد ال longest أقل من ال remainder يعني
+
+134
+00:11:23,880 --> 00:11:29,660
+مية و سبعين أقل من مية و تمانين معناته ممكن ال
+
+135
+00:11:29,660 --> 00:11:36,480
+link هذه link أربعة تدور دورة كاملةأو ال link
+
+136
+00:11:36,480 --> 00:11:41,160
+اتنين دورة كاملة حسب مين فيهم ال driver إذا كانت
+
+137
+00:11:41,160 --> 00:11:46,900
+أربع هي ال driver أو اتنين هي ال driver طيب،
+
+138
+00:11:46,900 --> 00:11:53,480
+لاحظوا التالي لو كان العكس .. لو كان العكس .. لو
+
+139
+00:11:53,480 --> 00:11:54,240
+كان العكس
+
+140
+00:11:58,490 --> 00:12:03,630
+لو كان العكس مش هتقدر ال link ل driver تدور دورة
+
+141
+00:12:03,630 --> 00:12:07,590
+كاملة مش هتقدر تدور دورة كاملة خلينا نورجي ..
+
+142
+00:12:07,590 --> 00:12:14,030
+نورجي ال simulation على الجهاز
+
+143
+00:13:36,350 --> 00:13:44,430
+في مشكلة في ال player طيب
+
+144
+00:13:44,430 --> 00:13:47,870
+على أي حال انا الفيديوهات حاططها الفيديوهات ال
+
+145
+00:13:47,870 --> 00:13:52,430
+simulation محطوطة على ال model تقدر تتفرجوا على ال
+
+146
+00:13:52,430 --> 00:13:53,870
+model على ال videos
+
+147
+00:14:31,560 --> 00:14:36,000
+طيب نستكمل الميكانيزم التاني اللي هدرسها اللي هي
+
+148
+00:14:36,000 --> 00:14:41,960
+ال slider .. ال single slider crank mechanism انا
+
+149
+00:14:41,960 --> 00:14:49,720
+بيكون عندي المقاوم لل link هذه واحد هذه ال crank
+
+150
+00:14:49,720 --> 00:14:57,780
+اتنين هذه نقطة A هذه نقطة B وهذه link تلاتة ال
+
+151
+00:14:57,780 --> 00:15:04,720
+connecting road وهذا ال slider هذه اربعةهذه نقطة C
+
+152
+00:15:04,720 --> 00:15:13,080
+عندما
+
+153
+00:15:13,080 --> 00:15:19,040
+تدور الكراينكهتسحب معاها ال connecting rod و ال
+
+154
+00:15:19,040 --> 00:15:22,860
+connecting rod هيحرك ال slider و ال slider مسموح
+
+155
+00:15:22,860 --> 00:15:26,440
+ليه يتحرك بالاتجاه الأفقي يعني ال slider بتحرك
+
+156
+00:15:26,440 --> 00:15:32,180
+حركة خطية ال crank بتتحرك حركة دورانية حوالي نقطة
+
+157
+00:15:32,180 --> 00:15:36,700
+A و ال connecting rod BC بتحرك general plan motion
+
+158
+00:15:36,700 --> 00:15:40,940
+يعني بتحرك يعني فيه مركز تقل و بنتقل و بسيله برضه
+
+159
+00:15:40,940 --> 00:15:43,400
+rotation يعني فيه translation و rotation
+
+160
+00:15:47,190 --> 00:15:53,170
+في two extreme positions لل .. لل .. لل slotted
+
+161
+00:15:53,170 --> 00:15:56,330
+crank mechanism one extreme position عند النقطة
+
+162
+00:15:56,330 --> 00:16:00,110
+هذه حسيب
+
+163
+00:16:00,110 --> 00:16:08,870
+عندي ال mechanism بالشكل هذا هذا
+
+164
+00:16:08,870 --> 00:16:13,350
+one extreme position another extreme position لما
+
+165
+00:16:13,350 --> 00:16:16,250
+ال link صير فرد على الآخر يعني حسيب عندي النقطة
+
+166
+00:16:16,250 --> 00:16:21,950
+هذهو تصير مفروض على الآخر لحد ما تصل لاند النقطة
+
+167
+00:16:21,950 --> 00:16:25,750
+هذه هذا
+
+168
+00:16:25,750 --> 00:16:32,290
+ال position بسميه ال bottom dead center و هذا ال
+
+169
+00:16:32,290 --> 00:16:38,610
+position ال top dead center و المسافة بين ال top
+
+170
+00:16:38,610 --> 00:16:45,710
+dead center و ال bottom dead center هي ال shot ال
+
+171
+00:16:45,710 --> 00:16:46,130
+stroke
+
+172
+00:16:51,280 --> 00:16:57,000
+معناته هذه أبعد نقطة ممكن يصلها ل slider وهذه أقرب
+
+173
+00:16:57,000 --> 00:17:01,640
+نقطة ممكن يصلها ل slider والمسافة بين أبعد نقطة و
+
+174
+00:17:01,640 --> 00:17:07,060
+أقرب نقطة بسميها short ل stroke لو كان ال radius
+
+175
+00:17:07,060 --> 00:17:16,900
+لل crank R ال stroke هتكون 2R ال stroke هتكون
+
+176
+00:17:16,900 --> 00:17:20,360
+ساوة اتنين R ال R هي ال radius
+
+177
+00:17:24,280 --> 00:17:34,180
+of الكرانك اللي هي ال link اتنين ال
+
+178
+00:17:34,180 --> 00:17:37,800
+slider crank mechanism تستخدم لتحويل الحركة
+
+179
+00:17:37,800 --> 00:17:43,340
+الدورانية إلى حركة خطية تذوبية إذا كان ال input
+
+180
+00:17:43,340 --> 00:17:47,020
+عند الكرانك يعني كان هنا في الموتور و تطبيقة هذه
+
+181
+00:17:47,020 --> 00:17:49,680
+مثلا في حالة ال compressors انا براك موتور و انا
+
+182
+00:17:49,680 --> 00:17:56,510
+بالهدف ان احصل عندى piston يتحرك يضغطأو انه بيحول
+
+183
+00:17:56,510 --> 00:17:59,830
+حركة خطية تدبدبية لحركة دورانية زي ال engine بتاع
+
+184
+00:17:59,830 --> 00:18:06,290
+السيارة بيصير هنا عملية الاحتراق وبندفع ال slider
+
+185
+00:18:06,290 --> 00:18:09,710
+وبالتالي بندفع ال slider بيحرك ال crank يعني بيحول
+
+186
+00:18:09,710 --> 00:18:15,770
+حركة تدبدبية خطية لحركة دورانية او بالعكس بيحول
+
+187
+00:18:15,770 --> 00:18:24,970
+حركة دورانية لحركة خطية تدبدبية طيب
+
+188
+00:18:34,290 --> 00:18:38,530
+ممكن اعبر عن ال slotted crank mechanism هاي
+
+189
+00:18:38,530 --> 00:18:53,290
+slotted crank mechanism هاي
+
+190
+00:18:53,290 --> 00:19:00,610
+link واحد link اتنين link تلاتة link اربعة هذه a b
+
+191
+00:19:00,610 --> 00:19:03,070
+c
+
+192
+00:19:06,150 --> 00:19:14,270
+C وD اللي هي sliding pair لأ
+
+193
+00:19:14,270 --> 00:19:17,510
+عند A في عندي complete rotation هي عندي نقطة A
+
+194
+00:19:17,510 --> 00:19:23,030
+وعند
+
+195
+00:19:23,030 --> 00:19:28,830
+D ال rotation بيعبر عنه دائرتين complete rotation
+
+196
+00:19:28,830 --> 00:19:33,850
+عند D في عندي translation بيعبر عنها بالشكل هذا هي
+
+197
+00:19:33,850 --> 00:19:45,180
+Dعند P عند B فاندي partial rotation وعند C فاندي
+
+198
+00:19:45,180 --> 00:19:51,180
+partial rotation لأن بين A وB فيتيجي link اتنين
+
+199
+00:19:51,180 --> 00:20:02,440
+هذا ال link اتنين بين B وC بتيجي link تلاتة بين
+
+200
+00:20:02,440 --> 00:20:08,640
+Cو دي يعني ان هنا link .. و عندي هنا بين a و d
+
+201
+00:20:08,640 --> 00:20:16,640
+link واحد و هنا link أربعة لأن link two rotates
+
+202
+00:20:16,640 --> 00:20:23,010
+aboutA في ال rotation حوالين A link تلاتة في
+
+203
+00:20:23,010 --> 00:20:27,050
+rotation عند B و rotation عند C link أربع إلها
+
+204
+00:20:27,050 --> 00:20:36,470
+sliding مع D طبعا واحد مثبت واحد ثابت واحد ثابت
+
+205
+00:20:36,470 --> 00:20:40,230
+طيب
+
+206
+00:20:43,850 --> 00:20:49,570
+ممكن احصل من نفس القلية هذه على قليات تانية من
+
+207
+00:20:49,570 --> 00:20:54,650
+خلال تغيير طريقة التثبيت يعني انا حاليا مثبت link
+
+208
+00:20:54,650 --> 00:20:58,430
+رقم واحد بعمل ما يسمى inversion هذي بسميها
+
+209
+00:20:58,430 --> 00:21:01,790
+inversion number one الميكانيزم هذه فيها اربع
+
+210
+00:21:01,790 --> 00:21:03,730
+links يعني هكون اندي inversion number one
+
+211
+00:21:03,730 --> 00:21:05,670
+inversion number two inversion number three
+
+212
+00:21:05,670 --> 00:21:09,730
+inversion number fourالان ال inversion of
+
+213
+00:21:09,730 --> 00:21:13,810
+mechanism هي طريقة للحصول على عديد من القليات من
+
+214
+00:21:13,810 --> 00:21:18,290
+خلال تثبيت link و fact link تثبيت link و fact link
+
+215
+00:21:18,290 --> 00:21:21,490
+يعني لو ثبتت واحد بحصل على inversion number واحد
+
+216
+00:21:21,490 --> 00:21:27,270
+لو ثبتت ال link اتنين بحصل على new mechanism خلينا
+
+217
+00:21:27,270 --> 00:21:30,710
+نثبت ال link اتنين لو ثبتت ال link اتنين حسي الوضع
+
+218
+00:21:30,710 --> 00:21:43,640
+كان التالي هاي Aهذه هثبت اتنين هذه
+
+219
+00:21:43,640 --> 00:21:54,780
+اتنين وهذه عندى D هذه
+
+220
+00:21:54,780 --> 00:21:59,660
+C هذه
+
+221
+00:21:59,660 --> 00:22:05,320
+link تلاتة هذه link اربع
+
+222
+00:22:06,990 --> 00:22:11,610
+sliding وهي link واحد لان انا فكت واحد هنا كانت
+
+223
+00:22:11,610 --> 00:22:18,410
+link واحد ثابتة روح اثبت link a link link اتنين
+
+224
+00:22:18,410 --> 00:22:27,250
+لان عند a في rotation هي عند نقطة a في rotation
+
+225
+00:22:27,250 --> 00:22:32,730
+وفي عند b هي
+
+226
+00:22:32,730 --> 00:22:33,710
+كمان rotation
+
+227
+00:22:38,030 --> 00:22:45,730
+هذه link هذه
+
+228
+00:22:45,730 --> 00:23:00,050
+link اتنين ثابتة link اتنين ثابتة لأ
+
+229
+00:23:00,050 --> 00:23:04,510
+انا عند بي سي عند بي سي
+
+230
+00:23:13,540 --> 00:23:22,920
+وعندي هتكون عندي a b c يعني انا هثبت هذه a
+
+231
+00:23:22,920 --> 00:23:29,540
+b c و b c هتدور وعندي اربعة هتدور بالنسبة هتكون
+
+232
+00:23:29,540 --> 00:23:41,700
+sliding بالنسبة لواحد هاي
+
+233
+00:23:41,700 --> 00:23:42,020
+ال c
+
+234
+00:23:45,820 --> 00:23:54,140
+وعندي هاي block ممكن sliding along this one هذه
+
+235
+00:23:54,140 --> 00:24:02,960
+واحد link واحد هذه link تلاتة وهذه link أربعة
+
+236
+00:24:11,110 --> 00:24:15,830
+لحظة ال link بي سي بتعمل complete rotation ال link
+
+237
+00:24:15,830 --> 00:24:20,410
+بي سي بتعمل complete rotation ال link بي سي بتعمل
+
+238
+00:24:20,410 --> 00:24:26,350
+complete rotation ال link ال link واحد بتعمل
+
+239
+00:24:26,350 --> 00:24:29,930
+reciprocation بتعمل reciprocation
+
+240
+00:24:32,490 --> 00:24:35,570
+عندي two extreme positions هكون اندي two extreme
+
+241
+00:24:35,570 --> 00:24:38,690
+positions one extreme position ال .. each extreme
+
+242
+00:24:38,690 --> 00:24:41,870
+position بيحصل لما تكون ال link تلاتة عمودية على
+
+243
+00:24:41,870 --> 00:24:44,750
+ال link واحد يعني هكون اندي two extreme positions
+
+244
+00:24:44,750 --> 00:24:53,710
+هكون اندي one extreme position هعندي A هاي B هاي A
+
+245
+00:25:01,490 --> 00:25:04,570
+هذا بي سي هذي one extreme position another extreme
+
+246
+00:25:04,570 --> 00:25:09,010
+position هذي
+
+247
+00:25:09,010 --> 00:25:13,510
+link واحد هذي link three هذي link three هذي link
+
+248
+00:25:13,510 --> 00:25:18,090
+واحد يعني لدي two extreme positions لان لو بلف هذا
+
+249
+00:25:18,090 --> 00:25:23,570
+بهذا الاتجاه بسمي هذا ال forward
+
+250
+00:25:27,850 --> 00:25:36,570
+Stroke وهذه الـ return stroke لو
+
+251
+00:25:36,570 --> 00:25:40,790
+كانت ال link BC is rotating with fixed لو سميت هذه
+
+252
+00:25:40,790 --> 00:25:47,070
+الزاوية Alpha وهذه الزاوية Beta لو كانت ال link BC
+
+253
+00:25:47,070 --> 00:25:51,790
+is rotating with fixed angular velocity هتكون
+
+254
+00:25:51,790 --> 00:25:56,090
+الزاوية Alpha بالساوية
+
+255
+00:25:57,780 --> 00:26:06,260
+أميجا في الزمن لل forward stroke والزاوية بيتا
+
+256
+00:26:06,260 --> 00:26:15,480
+هتكون سوى أميجا في الزمن لل return stroke يعني ال
+
+257
+00:26:15,480 --> 00:26:21,520
+time of forward stroke هتكون سوى ألفةعلى omega و
+
+258
+00:26:21,520 --> 00:26:26,280
+ال time for return stroke هكون سوى beta على omega
+
+259
+00:26:26,280 --> 00:26:30,600
+الان بدي اعمل ما يسمى ال quick return ratio quick
+
+260
+00:26:30,600 --> 00:26:43,180
+return ratio ال quick return ratio هتسوى ال
+
+261
+00:26:43,180 --> 00:26:51,100
+T forward على ال T returnيعني هتكون Alpha على
+
+262
+00:26:51,100 --> 00:26:57,540
+Omega على Beta على Omega يعني هتساوي Alpha على
+
+263
+00:26:57,540 --> 00:27:08,180
+Beta Alpha على Beta لاحظ زاوية Alpha أكبر من زاوية
+
+264
+00:27:08,180 --> 00:27:14,840
+Beta معناته الـ Quick Retain Ratioهتكون تسعة او
+
+265
+00:27:14,840 --> 00:27:22,380
+اكبر من واحد معناته في ال fourth stroke في
+
+266
+00:27:22,380 --> 00:27:26,440
+ال fourth stroke بروح بطيق بروح بطيق و في ال
+
+267
+00:27:26,440 --> 00:27:29,860
+return stroke برجع سريع هذه القليل اللي بتشوفوها
+
+268
+00:27:29,860 --> 00:27:33,120
+في ماكينة التصوير ماكينة التصوير لما تصور الماكنة
+
+269
+00:27:33,120 --> 00:27:39,160
+بتروح بطيق و لما ترجع ترجع سريع موجودة في التصوير
+
+270
+00:27:39,160 --> 00:27:45,040
+اللي هي ال quick return mechanismهذه ما يسمى
+
+271
+00:27:45,040 --> 00:27:46,860
+second inversion
+
+272
+00:28:16,860 --> 00:28:26,060
+هذه ال stack rank التقليدية هي واحد، اتنين، تلاتة،
+
+273
+00:28:26,060 --> 00:28:43,280
+اربعة A, B, C, D اكوين الديهان A, B, C, D
+
+274
+00:28:52,220 --> 00:29:04,760
+عندي واحد اتنين تلاتة اربعة a b c d واضح انه عندي
+
+275
+00:29:04,760 --> 00:29:08,400
+اربع links link واحد اتنين تلاتة اربعة وعندي اربع
+
+276
+00:29:08,400 --> 00:29:11,600
+joints عند revolute joint عند a revolute joint عند
+
+277
+00:29:11,600 --> 00:29:14,900
+b revolute joint عند c وsliding joint عند d
+
+278
+00:29:19,030 --> 00:29:23,650
+ال third inversion هثبت link رقم تلاتة هثبت link
+
+279
+00:29:23,650 --> 00:29:29,190
+رقم تلاتة و ارخي link رقم اتنين يعني هتصير
+
+280
+00:29:49,420 --> 00:30:03,400
+هي واحد عندي A B C D هاي اتنين link اتنين هثبت
+
+281
+00:30:03,400 --> 00:30:15,400
+تلاتة هثبت تلاتة هاد ال link اربعة ال link اتنين
+
+282
+00:30:16,170 --> 00:30:22,710
+بتدور عند B و link أربعة بتدور عند C و link في
+
+283
+00:30:22,710 --> 00:30:27,730
+rotation ل واحد مع اتنين وفي translation ل واحد
+
+284
+00:30:27,730 --> 00:30:40,550
+بالنسبة لاربعة يعني انا عندي هي نقطة B هي
+
+285
+00:30:40,550 --> 00:30:40,870
+B
+
+286
+00:30:45,450 --> 00:30:53,690
+وهي C بي
+
+287
+00:30:53,690 --> 00:31:00,310
+و C سابتين هذه ال link هتكون هذه ال link تلاتة هذه
+
+288
+00:31:00,310 --> 00:31:06,470
+ال link تلاتة
+
+289
+00:31:06,470 --> 00:31:10,710
+عند
+
+290
+00:31:10,710 --> 00:31:13,890
+بي اي عند بي اي
+
+291
+00:31:25,910 --> 00:31:30,270
+ب ايه اللي هي link اتنين انا عندي link تلاتة
+
+292
+00:31:30,270 --> 00:31:40,710
+معروفة link اربعة link اربعة فيها rotation عند C
+
+293
+00:31:40,710 --> 00:31:44,050
+وفي عندي كمان
+
+294
+00:32:04,000 --> 00:32:09,340
+D تولى المرة عندها بي و سي higher value joint و
+
+295
+00:32:09,340 --> 00:32:13,800
+higher value joint معناه هذا ال link تلاتة و بعدها
+
+296
+00:32:13,800 --> 00:32:23,140
+بي ايه هذا ايه عند بي ايه بي ايه
+
+297
+00:32:27,580 --> 00:32:33,380
+هذه هتكون طبعا هذه ال link واحد وهذه
+
+298
+00:32:33,380 --> 00:32:41,920
+ال link أربعة ال link
+
+299
+00:32:41,920 --> 00:32:48,940
+اتنين هذه اتنين بتدور عند بي يعني هذه تعمل دورة
+
+300
+00:32:48,940 --> 00:32:57,840
+كاملة بي اي بي ايحوالين C ال link أربعة هذه ال
+
+301
+00:32:57,840 --> 00:33:03,600
+link أربعة بتدور حوالين C وفي link واحد ال block
+
+302
+00:33:03,600 --> 00:33:14,420
+هذا link واحد ممكن link واحد في rotation عند A وفي
+
+303
+00:33:14,420 --> 00:33:19,060
+sliding عند D sliding عند D فانا حصلت على link
+
+304
+00:33:19,060 --> 00:33:22,500
+تاني ممكن اضيفيه لخليه قيمة اكتر اروح اعمل اشي زي
+
+305
+00:33:22,500 --> 00:33:22,840
+هيك
+
+306
+00:33:35,900 --> 00:33:39,540
+هو عامل sliding زي connecting rod بيصير هد رايح
+
+307
+00:33:39,540 --> 00:33:45,440
+جاي بالشكل هذا برضه هد is another quick another
+
+308
+00:33:45,440 --> 00:33:49,020
+quick
+
+309
+00:33:49,020 --> 00:33:56,620
+another quick return mechanismبرضه في فعل ال model
+
+310
+00:33:56,620 --> 00:34:01,280
+في simulation video تطلع عليه بتفرجينا simulation
+
+311
+00:34:01,280 --> 00:34:06,780
+ب 2D تطلع عليه اللي هو سميه هادي inversion number
+
+312
+00:34:06,780 --> 00:34:10,880
+three inversion number
+
+313
+00:34:10,880 --> 00:34:22,180
+three inversion number four inversion
+
+314
+00:34:22,180 --> 00:34:28,300
+number fourهثبت link أربعة ورخي واحد يعني عندي هنا
+
+315
+00:34:28,300 --> 00:34:46,320
+هيكون عندي هنا هي B هي A هي C وهي D A B C D هي
+
+316
+00:34:46,320 --> 00:34:48,320
+أربعة هثبت أربعة
+
+317
+00:34:55,650 --> 00:35:02,590
+هذه inversion number four
+
+318
+00:35:02,590 --> 00:35:10,550
+هذه
+
+319
+00:35:10,550 --> 00:35:15,450
+link
+
+320
+00:35:15,450 --> 00:35:21,630
+واحد هذه link اتنين هذه link تلاتة
+
+321
+00:35:27,330 --> 00:35:33,410
+عندي هذه نقطة C هذه
+
+322
+00:35:33,410 --> 00:35:39,150
+الـ C وهي
+
+323
+00:35:39,150 --> 00:35:42,590
+عندي B
+
+324
+00:35:42,590 --> 00:35:51,090
+وعندي
+
+325
+00:35:51,090 --> 00:35:51,390
+هنا
+
+326
+00:35:58,340 --> 00:36:02,540
+هي أربعة دي
+
+327
+00:36:02,540 --> 00:36:13,060
+دي
+
+328
+00:36:13,060 --> 00:36:16,620
+ال
+
+329
+00:36:16,620 --> 00:36:24,010
+link واحد عندي .. عندي هناهي C هى B و B جاي فيها
+
+330
+00:36:24,010 --> 00:36:32,530
+كمان link ناخد دي بالأول دي في عنده sliding واحد
+
+331
+00:36:32,530 --> 00:36:39,850
+يعني هيكون عنده sliding بشكل هذا sliding
+
+332
+00:36:39,850 --> 00:36:40,430
+واحد
+
+333
+00:36:44,530 --> 00:36:56,870
+واحد مربوط في A نرسمها كمان مرة عندي هي C نقطة
+
+334
+00:36:56,870 --> 00:37:05,850
+C وهذه four هذه بي سي بي
+
+335
+00:37:05,850 --> 00:37:12,090
+سي بعدين هيجي link اتنين
+
+336
+00:37:16,260 --> 00:37:23,300
+هي a link اتنين عندي a a
+
+337
+00:37:23,300 --> 00:37:29,880
+و a فيها هنا في
+
+338
+00:37:29,880 --> 00:37:34,200
+rotation block
+
+339
+00:37:34,200 --> 00:37:40,740
+ممكن
+
+340
+00:37:40,740 --> 00:37:42,700
+تصير بهذا الاتجاه
+
+341
+00:37:45,880 --> 00:37:53,200
+طيب go to model to
+
+342
+00:37:53,200 --> 00:38:00,500
+see simulation video
+
+343
+00:38:04,060 --> 00:38:08,960
+معناته ال inversion أنا بأمسك ميكانزم بأرخي ال
+
+344
+00:38:08,960 --> 00:38:13,580
+link المثبتة بأرخي ال link المثبتة و بثبت link
+
+345
+00:38:13,580 --> 00:38:16,840
+تاني بحصل على ال new mechanism بالطريقة هذه ال
+
+346
+00:38:16,840 --> 00:38:19,220
+study crank mechanism عبارة عن أربع mechanisms
+
+347
+00:38:19,220 --> 00:38:23,320
+مختلفة ب different inversions طبعا الحركة النسبية
+
+348
+00:38:23,320 --> 00:38:28,320
+بين ال links ما بتتغير لكن الحركة المطلقة لكل link
+
+349
+00:38:28,320 --> 00:38:32,120
+بتتغير تغير جذري بتغير ال inversion
+
+350
+00:38:40,090 --> 00:38:43,390
+هذه مثلا inversion number four inversion number
+
+351
+00:38:43,390 --> 00:38:51,010
+four يعني لو ترجمناها هتكون هذه نقطة C هي ثابتة
+
+352
+00:38:51,010 --> 00:38:57,730
+نقطة C هذه
+
+353
+00:38:57,730 --> 00:39:01,430
+ال link هذه خليني أثبتها
+
+354
+00:39:19,830 --> 00:39:29,050
+هذه نقطة C هذه هتكون B وهذه هتكون A وهذه D هذه D
+
+355
+00:39:29,050 --> 00:39:32,830
+بالطريقة هذه عملت مضخة زي المضخات اللي على البحر
+
+356
+00:39:32,830 --> 00:39:38,590
+زمان النظام هذه عملت مضخة وهنا فيها صمام وهنا أش
+
+357
+00:39:38,590 --> 00:39:47,170
+مخرج للمياه فهذه ال linkتلاتة link اربعة هذه ال
+
+358
+00:39:47,170 --> 00:39:53,190
+cylinder ثابتة وهذا ال link واحد وهذا ال link واحد
+
+359
+00:39:53,190 --> 00:39:57,730
+وهذا ال link اتنين يعني هذه تلاتة اتنين واحد اربعة
+
+360
+00:39:57,730 --> 00:40:07,750
+كمان مرة التلاتة اتنين واحد اربعةهذه طبعا حد هتكون
+
+361
+00:40:07,750 --> 00:40:13,870
+C B A و ال .. و sliding hair بسميه اللي .. اللي هو
+
+362
+00:40:13,870 --> 00:40:23,370
+D هذه ال inversion number four هذه
+
+363
+00:40:23,370 --> 00:40:26,930
+inversion number three و حكينا عنها inversion
+
+364
+00:40:26,930 --> 00:40:27,990
+number three
+
+365
+00:40:37,580 --> 00:40:42,120
+هذه quick-return mechanism هذه الـ forward stroke
+
+366
+00:40:42,120 --> 00:40:46,960
+بتاعتها أكبر من الـ return stroke معناته في حالة
+
+367
+00:40:46,960 --> 00:40:49,360
+الـ forward stroke بتكون بطيئة في الـ return
+
+368
+00:40:49,360 --> 00:40:57,040
+stroke بتكون سريعة ال
+
+369
+00:40:57,040 --> 00:41:00,900
+second inversion بقى ثبت link اتنين يعني
+
+370
+00:41:00,900 --> 00:41:05,320
+الميكانيزم كلها متشابه مع بعضال example زي اللي
+
+371
+00:41:05,320 --> 00:41:10,440
+بتحلوها مع المعيد بسيطة
+
+372
+00:41:10,440 --> 00:41:15,820
+طيب
+
+373
+00:41:15,820 --> 00:41:23,180
+نيجي
+
+374
+00:41:23,180 --> 00:41:26,940
+لل double slider crank mechanism double slider
+
+375
+00:41:26,940 --> 00:41:32,290
+crank mechanism من اسمها double sliderبكون عندى
+
+376
+00:41:32,290 --> 00:41:54,730
+two sliders عند هذه المجرة ع
+
+377
+00:41:54,730 --> 00:41:55,550
+الشكل cross
+
+378
+00:42:10,460 --> 00:42:18,380
+و فى عندى two blocks فى عندى block A و
+
+379
+00:42:18,380 --> 00:42:24,680
+block B هاي
+
+380
+00:42:24,680 --> 00:42:35,280
+و فى واصل بينهم link هى
+
+381
+00:42:35,280 --> 00:42:38,480
+B هى A
+
+382
+00:42:47,730 --> 00:42:56,410
+و ال cross مثبت ال block
+
+383
+00:42:56,410 --> 00:43:00,310
+A مسموح يتحرك بالاتجاه الرأسي ال block B مسموح
+
+384
+00:43:00,310 --> 00:43:06,170
+يتحرك بالاتجاه الأفوكي يعني لو A نزل لو A نزل بهذا
+
+385
+00:43:06,170 --> 00:43:12,450
+الاتجاه معناه بيه هيتحرك بالاتجاه المعاكس لو طلع A
+
+386
+00:43:12,450 --> 00:43:14,850
+بيروح على اليمن
+
+387
+00:43:18,460 --> 00:43:24,540
+الان اذا تتبعنا نقطة
+
+388
+00:43:24,540 --> 00:43:29,420
+على ال
+
+389
+00:43:29,420 --> 00:43:35,120
+link AB ال connecting rod و حطينا قلم عليها while
+
+390
+00:43:35,120 --> 00:43:40,660
+ال motion شغالة هتعطيني شكل اللبس هتعطيني شكل
+
+391
+00:43:40,660 --> 00:43:41,740
+بيضاوي
+
+392
+00:43:56,400 --> 00:44:11,520
+هتعطيني شكل بيضاوي لو
+
+393
+00:44:11,520 --> 00:44:21,380
+اعتبرت هذا هو ال X axis هذا ال X axis وهذا
+
+394
+00:44:21,380 --> 00:44:37,820
+ال Y axis هذا ال Y هذا ال Xالنقطة P إحدى θ هذه Y
+
+395
+00:44:37,820 --> 00:44:41,560
+وهذه
+
+396
+00:44:41,560 --> 00:44:47,940
+X
+
+397
+00:44:47,940 --> 00:44:54,100
+ولو
+
+398
+00:44:54,100 --> 00:44:55,140
+كانت هذه الزاوية θ
+
+399
+00:45:02,550 --> 00:45:09,850
+theta حد النقطة هسميها P ال
+
+400
+00:45:09,850 --> 00:45:14,810
+X هتستوى
+
+401
+00:45:14,810 --> 00:45:18,810
+AP برضه
+
+402
+00:45:18,810 --> 00:45:26,090
+هتكون theta هتكون AP P cosine theta
+
+403
+00:45:29,900 --> 00:45:40,280
+معناته X على AP هتكون تساوي Cos θ وال Y ال Y
+
+404
+00:45:40,280 --> 00:45:57,900
+هتساوي BP في Sin θ معناته Y على BP بتساوي Sin θ
+
+405
+00:45:57,900 --> 00:46:03,260
+هذه معدلة واحدةهذه معادلة اتنين لو ربعت المعادلة
+
+406
+00:46:03,260 --> 00:46:06,280
+واحد والمعادلة اتنين و جمعتهم مع بعض الطرف الأيصر
+
+407
+00:46:06,280 --> 00:46:10,740
+مع الأيصر والايمن مع الايمن هزكي وعندي X تربية على
+
+408
+00:46:10,740 --> 00:46:16,460
+AP تربية زاد
+
+409
+00:46:16,460 --> 00:46:24,820
+Y تربية على VP كل تربية هزكي سواء Cos تربية زي Sin
+
+410
+00:46:24,820 --> 00:46:25,860
+تربية واحد
+
+411
+00:46:29,910 --> 00:46:34,230
+هذه المعادلة معادلة ايش ال lips equation of ال
+
+412
+00:46:34,230 --> 00:46:40,730
+lips اللي هي x اذا فاكرين x تربيع على a تربيع زاد
+
+413
+00:46:40,730 --> 00:46:45,190
+y تربيع على b تربيع بساوة واحد ال a اللي هو ال
+
+414
+00:46:45,190 --> 00:46:52,930
+major axis و ال b ال minor axisفواضح ان النقطة P
+
+415
+00:46:52,930 --> 00:46:57,230
+هذه بترسم لي ellipse عشانك بيسموها elliptical
+
+416
+00:46:57,230 --> 00:47:02,030
+tremor elliptical tremor لان if we trace a point
+
+417
+00:47:02,030 --> 00:47:06,670
+on link AB this point will generate an ellipse
+
+418
+00:47:06,670 --> 00:47:09,870
+عشانك بيسميها elliptical tremor
+
+419
+00:47:23,010 --> 00:47:27,290
+هدح كده كله
+
+420
+00:47:27,290 --> 00:47:33,190
+من ال double slider crank mechanism ممكن احصل
+
+421
+00:47:33,190 --> 00:47:44,670
+other mechanisms by inversion بس
+
+422
+00:47:44,670 --> 00:47:47,170
+حلوين ارجع لل double slider
+
+423
+00:47:51,260 --> 00:47:58,040
+الـ double slider أنا عندي link
+
+424
+00:47:58,040 --> 00:48:04,960
+to عندي هي link to
+
+425
+00:48:04,960 --> 00:48:14,560
+هي link to هي a و b أو b و a
+
+426
+00:48:21,420 --> 00:48:29,480
+و في عندي هنا link تلاتة link
+
+427
+00:48:29,480 --> 00:48:34,700
+تلاتة و
+
+428
+00:48:34,700 --> 00:48:45,160
+عندي link واحد both slide في
+
+429
+00:48:45,160 --> 00:48:49,540
+link أربعة و ال link أربعة أشمالها ثابتة
+
+430
+00:48:58,390 --> 00:49:03,810
+يعني في عند A revolute joint و
+
+431
+00:49:03,810 --> 00:49:10,650
+عند B revolute joint أمكن أسمي هذا C sliding pair
+
+432
+00:49:10,650 --> 00:49:14,110
+و هنا عندي another sliding pair sliding pair بين
+
+433
+00:49:14,110 --> 00:49:18,130
+تلاتة و أربعة و sliding pair بين واحد و أربعة
+
+434
+00:49:18,130 --> 00:49:21,750
+الناس تتعودوا على هذا ال representation تتعودوا
+
+435
+00:49:21,750 --> 00:49:24,390
+كيف الترجم هذا للشكل هذا
+
+436
+00:49:29,370 --> 00:49:37,030
+السكوتش يوك السكوتش يوك السكوتش
+
+437
+00:49:37,030 --> 00:49:43,990
+يوك عندي
+
+438
+00:49:43,990 --> 00:49:49,390
+هاي link اتنين وفيه بطرفها slider link اتنين تعمل
+
+439
+00:49:49,390 --> 00:49:54,470
+complete rotation تعمل complete rotation تعمل
+
+440
+00:49:54,470 --> 00:49:58,270
+complete rotation
+
+441
+00:50:02,060 --> 00:50:10,010
+بطرفها في لينك تلاتة sliding وفي لينك أربع هذهlink
+
+442
+00:50:10,010 --> 00:50:16,790
+4 في بينها هي slides slides بالنسبة لواحد slides
+
+443
+00:50:16,790 --> 00:50:22,230
+بالنسبة لواحد اربع slide بالنسبة لواحد خلنا نكتبها
+
+444
+00:50:22,230 --> 00:50:29,510
+يعني عندي هنا link واحد link اربع link اتنين و ال
+
+445
+00:50:29,510 --> 00:50:36,870
+slider هذا التلاتة هذا النقطة O P يعني
+
+446
+00:50:38,980 --> 00:50:45,860
+لو بدى اترجمها لشكل مشابه هتكون
+
+447
+00:50:45,860 --> 00:50:53,500
+عندي link واحد fixed هي عندي هنا نقطة نقطتين فاندي
+
+448
+00:50:53,500 --> 00:51:06,100
+sliding هنا و sliding هنا وهي link واحد fixed
+
+449
+00:51:07,960 --> 00:51:14,780
+معناته هذا نقطة او هتكون وهذا link اتنين وهذا نقطة
+
+450
+00:51:14,780 --> 00:51:20,460
+P وهنا هتكون عنده هنا طبعا complete rotation هنا
+
+451
+00:51:20,460 --> 00:51:28,040
+partial وهذا link تلاتة وهذا link اربعة
+
+452
+00:51:36,110 --> 00:51:41,590
+يعني P بين أربعة ممكن احكي ان عندي هين C و هين D
+
+453
+00:51:41,590 --> 00:51:48,770
+هى هى دي C sliding sliding pair و عندي هين D
+
+454
+00:51:48,770 --> 00:51:57,660
+another sliding pair يعني اللى سويته انا فكتأربعة
+
+455
+00:51:57,660 --> 00:52:03,680
+فكت أربعة و ثبتت واحد حصلت على another mechanism
+
+456
+00:52:03,680 --> 00:52:07,720
+اللي أنا بسميها scotch yolk mechanism scotch yolk
+
+457
+00:52:07,720 --> 00:52:12,660
+mechanism الان two makes complete rotation about O
+
+458
+00:52:12,660 --> 00:52:16,360
+في طرف two في عندى block من خلال revolute joint
+
+459
+00:52:17,310 --> 00:52:20,530
+this block is allowed to slide with respect to
+
+460
+00:52:20,530 --> 00:52:25,630
+this link and this link is can move with respect
+
+461
+00:52:25,630 --> 00:52:27,850
+to one along دخلت الدرجة يعني هم بتتحرك بهذا
+
+462
+00:52:27,850 --> 00:52:32,010
+الاتجاه و تلاتة بتتحرك بهذا الاتجاه يعني عندهين
+
+463
+00:52:32,010 --> 00:52:35,070
+sliding pair و عندهين sliding pair عندهين one
+
+464
+00:52:35,070 --> 00:52:40,010
+revolute pair و عندهين one revolute pair طبعا
+
+465
+00:52:41,210 --> 00:52:45,150
+سكوتش يوك إذا كتبعت نقطة يعني النقطة هيكون سقاط
+
+466
+00:52:45,150 --> 00:52:49,550
+النقطة هذه سقاط هيعطيني simple harmonic motion هذه
+
+467
+00:52:49,550 --> 00:52:54,070
+one inversion of the slider crank mechanism
+
+468
+00:52:54,070 --> 00:52:57,950
+another
+
+469
+00:52:57,950 --> 00:53:01,810
+inversion of this of the double slider crank
+
+470
+00:53:01,810 --> 00:53:07,230
+mechanism إيش بنسميه old hams coupling
+
+471
+00:53:13,630 --> 00:53:20,930
+فى old ham coupling فى old ham coupling بقى
+
+472
+00:53:20,930 --> 00:53:35,370
+ثبت link 2 يعني هسير كتال يعني دي الوضع هي
+
+473
+00:53:35,370 --> 00:53:38,170
+link 2 بقى ثبتها
+
+474
+00:53:43,820 --> 00:53:50,840
+عندي هنا سأكون عندي link واحد فعندي هنا sliding و
+
+475
+00:53:50,840 --> 00:54:00,380
+link أربع فعندي هنا sliding فعندي هنا link تلاتة
+
+476
+00:54:02,060 --> 00:54:05,840
+حكوني عن دي link واحد makes complete rotation with
+
+477
+00:54:05,840 --> 00:54:10,440
+respect to two and link three makes complete
+
+478
+00:54:10,440 --> 00:54:17,440
+rotation with respect to three وفي مسافة بين this
+
+479
+00:54:17,440 --> 00:54:22,340
+joint and this joint معناته ممكن باستخدام هذه ال
+
+480
+00:54:22,340 --> 00:54:28,240
+inversion أنقل الحركة بين محورين متوازين وفي بينهم
+
+481
+00:54:28,240 --> 00:54:31,060
+مسافة يعني لو حكيت هذه a
+
+482
+00:54:41,130 --> 00:54:48,230
+BCD عندي هاي A
+
+483
+00:54:48,230 --> 00:54:56,350
+هاي شافت هاي محور B وهذا
+
+484
+00:54:56,350 --> 00:55:02,840
+ال link رقم اتنين وهذا ال link رقم اتنينو في رقم
+
+485
+00:55:02,840 --> 00:55:11,000
+تلاتة الها rotation الها
+
+486
+00:55:11,000 --> 00:55:17,800
+rotation و في عند رقم واحد
+
+487
+00:55:57,020 --> 00:56:03,420
+هذه حسن بيها هذه
+
+488
+00:56:03,420 --> 00:56:06,700
+link four
+
+489
+00:56:09,310 --> 00:56:13,270
+و هذه link تلاتة وهذه link واحدة
+
+490
+00:56:16,850 --> 00:56:21,330
+link 4 slides بالنسبة لواحد و slides بالنسبة
+
+491
+00:56:21,330 --> 00:56:25,330
+لتلاتة link 4 slide بالنسبة لواحد و slide بالنسبة
+
+492
+00:56:25,330 --> 00:56:32,370
+لتلاتة link 4 slide with respect to both link واحد
+
+493
+00:56:32,370 --> 00:56:34,770
+و link تلاتة بعدين انا ممكن احط shaft عند ال
+
+494
+00:56:34,770 --> 00:56:38,890
+completely rotating shaft one و عند completely
+
+495
+00:56:38,890 --> 00:56:43,010
+rotating shaft three وانقل حركة بينهم من خلال ال
+
+496
+00:56:43,010 --> 00:56:43,810
+link ال sliding
+
+497
+00:56:49,190 --> 00:56:56,010
+هذه لو سميتها هذه ال link واحد وهذه ال link تلاتة
+
+498
+00:56:56,010 --> 00:57:04,230
+وهذه ال link أربعة لحظة في هنا عندي groove وهنا في
+
+499
+00:57:04,230 --> 00:57:09,330
+عندي بروز وفي grooveعمود على الـ groove هذا وفيه
+
+500
+00:57:09,330 --> 00:57:12,990
+بروز مقابل من ال link هذه معناته هذه بيصير sliding
+
+501
+00:57:12,990 --> 00:57:16,570
+بالنسبة لهذه وهذه complete rotation وهذه complete
+
+502
+00:57:16,570 --> 00:57:21,110
+rotation برضه في simulation على ال model تفرجوا
+
+503
+00:57:21,110 --> 00:57:24,130
+على الفيديو عشان تشوفوا ال simulation بتاع ال
+
+504
+00:57:24,130 --> 00:57:28,870
+mechanism هذا هيك بتكون خلصنا chapter تلاتة
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/_yp06s8zgfo.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/_yp06s8zgfo.srt
new file mode 100644
index 0000000000000000000000000000000000000000..fea43331595abb5fc3ca8c231317830e13f61368
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/_yp06s8zgfo.srt
@@ -0,0 +1,931 @@
+1
+00:00:05,360 --> 00:00:09,440
+هنحكي عن الـ law of gearings أنا في عنه two bodies
+
+2
+00:00:09,440 --> 00:00:14,720
+one body is rotating about point O واحد another
+
+3
+00:00:14,720 --> 00:00:19,600
+body بي rotate حوالي نقطة O اتنين الجسم الأولان
+
+4
+00:00:19,600 --> 00:00:24,120
+بتدور بسرعة زاوية Omega واحد، و الجسم التاني أكيد
+
+5
+00:00:24,120 --> 00:00:27,740
+هتدور بسرعة زاوية Omega اتنين في نقطة تلامس
+
+6
+00:00:27,740 --> 00:00:32,200
+الجسمين المتلامسين عند نقطة C بنرسم الـ
+
+7
+00:00:32,200 --> 00:00:35,300
+المستقيم العمودي الـ common normal at point C هذا هو الـ
+
+8
+00:00:35,300 --> 00:00:39,440
+common normal و في عند الـ common tangent الآن
+
+9
+00:00:39,440 --> 00:00:45,110
+النقطة C ممكن تدرس باعتبارها مرة على الجسم الأول و
+
+10
+00:00:45,110 --> 00:00:48,810
+مرة على الجسم التاني. إذا درست النقطة C باعتبارها
+
+11
+00:00:48,810 --> 00:00:53,490
+على الجسم الأول هتكون VC واحد، VC واحد هتكون تساوي
+
+12
+00:00:53,490 --> 00:01:01,150
+O واحد C في Omega واحد. وإذا درست النقطة C
+
+13
+00:01:01,150 --> 00:01:04,950
+باعتبارها على الجسم التاني هتكون VC اتنين، بسرعة زاوية
+
+14
+00:01:04,950 --> 00:01:12,170
+Omega اتنين، بسرعة زاوية Omega اتنين في O اتنين C. الآن الـ
+
+15
+00:01:12,170 --> 00:01:16,350
+VC1 بتعمل
+
+16
+00:01:16,350 --> 00:01:21,010
+زاوية Alpha مع الـ common normal، و VC2 بتعمل زاوية
+
+17
+00:01:21,010 --> 00:01:27,790
+Beta مع الـ common tangent. الآن مركبة الـ VC1
+
+18
+00:01:27,790 --> 00:01:30,830
+باتجاه
+
+19
+00:01:30,830 --> 00:01:36,610
+الـ common normal عبارة عن VC1 Cos Alpha. ومركبة الـ
+
+20
+00:01:36,610 --> 00:01:41,630
+Vc2 باتجاه الـ common normal هي Vc2 Cos Beta.
+
+21
+00:01:41,630 --> 00:01:48,170
+الآن مركبة الـ Vc1 باتجاه الـ common normal ممكن
+
+22
+00:01:48,170 --> 00:01:54,480
+تكون تساوي الاحتمالات بتاعتها تكون تساوي أو أكبر أو
+
+23
+00:01:54,480 --> 00:02:00,180
+أقل من مركبة الـ Vc2 في اتجاه الـ common normal. ناخد
+
+24
+00:02:00,180 --> 00:02:06,060
+الحالات الثلاث. لو كانت الـ Vc1، طبعاً أذكر أن الـ two
+
+25
+00:02:06,060 --> 00:02:10,160
+bodies are rigid bodies. لو كانت مركبة الـ Vc1 اللي
+
+26
+00:02:10,160 --> 00:02:16,600
+هي V .. لو كان Vc1 Cos Alpha أكبر من Vc2 Cos Beta
+
+27
+00:02:16,600 --> 00:02:20,120
+هينغرز الجسم الأولاني في الجسم التاني، وهذا مستحيل.
+
+28
+00:02:22,050 --> 00:02:27,050
+الحالة الثانية أن تكون مركبة الـ VC1 في اتجاه الـ
+
+29
+00:02:27,050 --> 00:02:31,110
+common normal أقل من مركبة الـ VC2 في اتجاه الـ
+
+30
+00:02:31,110 --> 00:02:35,550
+common normal، يعني VC1 cos α تكون أصغر من VC2 cos
+
+31
+00:02:35,550 --> 00:02:40,150
+β. في الحالة هذه we lose contact، حينفصل الجسمين عن
+
+32
+00:02:40,150 --> 00:02:43,900
+بعض. معناه .. برضه هذه الحالة ما تصلحش .. معناه
+
+33
+00:02:43,900 --> 00:02:48,960
+عشان أستمر بحالة التلامس الجسماني دائماً يبقى في
+
+34
+00:02:48,960 --> 00:02:53,840
+حالة تلامس، لازم مركبة الـ VC1 باتجاه الـ common
+
+35
+00:02:53,840 --> 00:02:57,240
+normal تساوي مركبة الـ VC2 باتجاه الـ common normal.
+
+36
+00:02:57,240 --> 00:03:08,090
+يعني VC1 cos α لازم تساوي VC2 cos β. الآن VC1 احنا
+
+37
+00:03:08,090 --> 00:03:13,510
+حكينا، خلينا نعمل عمودي من O1 على الـ common normal. O1M، هذا
+
+38
+00:03:13,510 --> 00:03:16,930
+عمودي على الـ common normal. وعمودي من نقطة O2
+
+39
+00:03:16,930 --> 00:03:20,870
+على الـ common normal، O2N. معناه O2N عمودي على الـ common
+
+40
+00:03:20,870 --> 00:03:28,460
+normal. إذا بتركز كويس هتلاحظ أن زاوية Alpha (α)
+
+41
+00:03:28,460 --> 00:03:36,980
+بتساوي الزاوية MO1C، والزاوية Beta (β) بتساوي الزاوية NO2C.
+
+42
+00:03:36,980 --> 00:03:42,800
+الزاوية NO2C.
+
+43
+00:03:42,800 --> 00:03:49,900
+معناه هذه الزاوية Beta (β). طيب، معناته هتصير عندي احنا
+
+44
+00:03:49,900 --> 00:03:57,470
+حكينا VC1 cos α بتساوي VC2 cos β، والـ VC1
+
+45
+00:03:57,470 --> 00:04:01,310
+بتساوي Omega 1 O1C، والـ VC2 بتساوي Omega 2 O2C،
+
+46
+00:04:01,310 --> 00:04:07,970
+و cos α بتساوي O1M على O1C، و cos β بتساوي O2N على
+
+47
+00:04:07,970 --> 00:04:13,070
+O2C. بنعوض في المعادلة هذه VC1 بـ Omega 1 في O1C
+
+48
+00:04:13,070 --> 00:04:21,330
+كوساين ألفا O1M على O1C، و في VC2 اللي هو Omega 2 O2C
+
+49
+00:04:21,330 --> 00:04:28,050
+في O2N على O2C. بنختصر O1C مع O1C، و O2C مع O2C،
+
+50
+00:04:28,050 --> 00:04:34,330
+بيصبح عندي Omega 1 في O1M. يعني أصبح عندي Omega 1
+
+51
+00:04:34,330 --> 00:04:49,000
+على Omega 2 بتساوي O2N على O1M. لأن إذا
+
+52
+00:04:49,000 --> 00:04:55,700
+بناخد المثلثين، المثلثين، نرجع للشكل، المثلثين اللي هو
+
+53
+00:04:55,700 --> 00:05:00,540
+O1MC و O2NC.
+
+54
+00:05:00,540 --> 00:05:05,740
+و O2NC.
+
+55
+00:05:09,740 --> 00:05:20,540
+هيكون عندي O1M على O2N. لا أنا بدي آخد
+
+56
+00:05:20,540 --> 00:05:27,300
+المثلثين مش هينفعوا المثلثين. خلينا نمسح. هاخد
+
+57
+00:05:27,300 --> 00:05:30,720
+أنا هوصل O1، هوصل O1 مع O2، بتتقاطعوا في
+
+58
+00:05:30,720 --> 00:05:43,400
+P. هاخد المثلثين O1MP و O2NP.
+
+59
+00:05:43,400 --> 00:05:48,560
+O1MP و O2NP. هاندي
+
+60
+00:05:48,560 --> 00:06:09,670
+O1MP و O2NP. هيكون عندي O1M على O2N بتساوي O1P
+
+61
+00:06:09,670 --> 00:06:18,910
+على O2P. يعني أصبح عندي Omega 1 على Omega 2
+
+62
+00:06:18,910 --> 00:06:25,190
+بتساوي O2P
+
+63
+00:06:25,190 --> 00:06:31,450
+على O1P. معناه
+
+64
+00:06:31,450 --> 00:06:37,580
+الـ law of gearing، عشان تكون Omega 1 على Omega 2
+
+65
+00:06:37,580 --> 00:06:42,880
+ثابتة، عشان تكون ثابتة
+
+66
+00:06:43,530 --> 00:06:49,610
+لازم تكون الـ ratio O2P على O1P ثابتة. مع العلم P هي
+
+67
+00:06:49,610 --> 00:06:56,010
+نقطة تقاطع الخط الواصل بين مركز دوران O1 و مركز
+
+68
+00:06:56,010 --> 00:06:59,610
+دوران O2 والـ common normal at the point of contact.
+
+69
+00:06:59,610 --> 00:07:02,510
+هذا يعني برضه عشان تكون Omega واحد و Omega اتنين
+
+70
+00:07:02,510 --> 00:07:07,670
+ثابتين، أن النقطة P تكون ثابتة. النقطة P هسميها الـ
+
+71
+00:07:07,670 --> 00:07:12,170
+pitch point. النقطة P تكون ثابتة، بسميها الـ pitch
+
+72
+00:07:12,170 --> 00:07:17,290
+point. الآن الـ Velocity of sliding، الـ Velocity of
+
+73
+00:07:17,290 --> 00:07:22,030
+sliding along الـ common tangent، عندي الـ الـ
+
+74
+00:07:22,030 --> 00:07:32,190
+الـ الـ Vs هتكون، هتكون VC1 Sin Alpha، VC1 Sin
+
+75
+00:07:32,190 --> 00:07:40,370
+Alpha minus VC2 Sin Beta.
+
+76
+00:07:46,220 --> 00:07:51,860
+طبعاً احنا حكينا Sin α يعني هيكون VC1 اللي هي Omega
+
+77
+00:07:51,860 --> 00:08:05,220
+1 في O1C في Sin α، Sin α اللي هي هتكون، Sin α
+
+78
+00:08:05,220 --> 00:08:11,320
+اللي هي هتكون MC على
+
+79
+00:08:11,320 --> 00:08:14,100
+O1C minus
+
+80
+00:08:15,790 --> 00:08:23,350
+VC2، وهي Omega 2 في O2C في Sine Beta. من الشكل، من
+
+81
+00:08:23,350 --> 00:08:31,650
+الشكل Sine Beta بتساوي NC على
+
+82
+00:08:31,650 --> 00:08:39,530
+O2C. يعني هنختصر O1C مع O1C، O2C مع O2C، بيصبح في
+
+83
+00:08:39,530 --> 00:08:41,790
+Omega 1 MC
+
+84
+00:08:42,890 --> 00:08:50,850
+ناقص Omega 2 NC. هيتساوي، اللحظة MC ممكن
+
+85
+00:08:50,850 --> 00:08:57,350
+نعتبرها عبارة عن two segments. الآن
+
+86
+00:08:57,350 --> 00:09:01,110
+الـ
+
+87
+00:09:01,110 --> 00:09:04,810
+MC، الـ
+
+88
+00:09:04,810 --> 00:09:09,710
+V sliding بتساوي
+
+89
+00:09:11,090 --> 00:09:19,870
+Omega واحد MC ناقص Omega اتنين في NC. حتى تتساوى
+
+90
+00:09:19,870 --> 00:09:25,190
+Omega واحد الـ MC. نطلع على الشكل، الـ MC بتساوي
+
+91
+00:09:25,190 --> 00:09:36,410
+MP زائد PC، MP زائد PC، ناقص Omega اتنين الـ NC. الـ
+
+92
+00:09:36,410 --> 00:09:48,450
+NC عبارة عن NP ناقص الـ PC. الـ NP ناقص الـ PC، يعني
+
+93
+00:09:48,450 --> 00:09:58,990
+هتكون Omega 1 في الـ NP ناقص Omega 2 في الـ NP زائد
+
+94
+00:09:58,990 --> 00:10:02,110
+PC.
+
+95
+00:10:02,110 --> 00:10:03,790
+مشترك.
+
+96
+00:10:05,560 --> 00:10:17,040
+أنا غلطان هنا. دي الـ NP ناقص الـ PC، ناقص
+
+97
+00:10:17,040 --> 00:10:25,720
+الـ PC. PC في Omega واحد زائد Omega اتنين. لحظة وأنت
+
+98
+00:10:25,720 --> 00:10:32,220
+شايف المثلثات O1MP و O2MP، بيكون عندي
+
+99
+00:10:32,220 --> 00:10:40,070
+اللي هو Omega واحد على Omega اتنين بتساوي Omega واحد
+
+100
+00:10:40,070 --> 00:10:44,370
+على Omega اتنين بتساوي O1M على
+
+101
+00:10:44,370 --> 00:10:47,670
+O2N بتساوي O1P على O2P
+
+102
+00:10:47,670 --> 00:10:57,710
+بتساوي MP على NP. معناه هذا هيكون بتساوي
+
+103
+00:10:57,710 --> 00:11:07,660
+NP على MP. معناه عندي Omega واحد MP بتساوي
+
+104
+00:11:07,660 --> 00:11:12,980
+Omega 2 NP. معناه هدول الحدين
+
+105
+00:11:12,980 --> 00:11:17,540
+بيروحوا مع بعض. معناه الـ sliding velocity Vs هتكون
+
+106
+00:11:17,540 --> 00:11:31,580
+PC في Omega 1 زائد Omega 2. معناه
+
+107
+00:11:31,580 --> 00:11:36,040
+الـ sliding velocity، سرعة الانزلاق بين الـ two bodies
+
+108
+00:11:36,040 --> 00:11:40,720
+at the point of contact، بتعتمد على بعد الـ pitch
+
+109
+00:11:40,720 --> 00:11:44,600
+point على الـ contact point. إذا كانت الـ pitch point
+
+110
+00:11:44,600 --> 00:11:48,960
+مطابقة مع الـ contact point، بيكون عندي sliding، no
+
+111
+00:11:48,960 --> 00:11:53,040
+sliding. فكل ما ببعد نقطة الـ pitch point عن الـ
+
+112
+00:11:53,040 --> 00:11:55,740
+contact point، كل ما يزيد الـ sliding بين الـ two
+
+113
+00:11:55,740 --> 00:11:56,020
+bodies.
+
+114
+00:12:02,940 --> 00:12:07,160
+ليه هذه العلاقة؟ Vs بتتناسب مع Omega 1 زي Omega 2 في
+
+115
+00:12:07,160 --> 00:12:17,480
+PC. الآن
+
+116
+00:12:17,480 --> 00:12:26,290
+شكل السن ممكن يكون أي شكل، طالما أنه يحقق الـ law of
+
+117
+00:12:26,290 --> 00:12:30,570
+gearing اللي ذكرناها سابقاً. شكل السن، الـ profile
+
+118
+00:12:30,570 --> 00:12:36,270
+بتاع السن ممكن يكون أي شكل، طالما أنه بيحقق الـ law
+
+119
+00:12:36,270 --> 00:12:40,950
+of gearing. احنا هندرس اللي هو حالة خاصة، اللي هي
+
+120
+00:12:40,950 --> 00:12:46,320
+الأكثر شيوعاً، اللي هي الـ involute teeth، involute
+
+121
+00:12:46,320 --> 00:12:51,360
+of a circle. إن أنا بكون، يعني بكون عندي دائرة، دائرة
+
+122
+00:12:51,360 --> 00:12:57,180
+بسميها الـ base circle، بكون لافف حواليها حبل، بكون
+
+123
+00:12:57,180 --> 00:13:02,360
+لافف حواليها حبل، بيكون في قلم في طرف الحبل، بيكون
+
+124
+00:13:02,360 --> 00:13:06,400
+أرفع الحبل وهو مشدود، برفع الحبل وهو مشدود، يعني
+
+125
+00:13:06,400 --> 00:13:09,020
+أنا طالع، عندي هذه النقطة وهذه النقطة، أنا بدأت
+
+126
+00:13:09,020 --> 00:13:15,350
+بدأت من نقطة، من نقطة معينة، بكون أبدأ أرفع الحبل و
+
+127
+00:13:15,350 --> 00:13:20,190
+أرسم، بحصل على شكل معين بسميه الـ involute، أو بحط مصطرة
+
+128
+00:13:20,190 --> 00:13:23,350
+مصطرة بتكون tangent، مثلاً tangent، بحط قلم على
+
+129
+00:13:23,350 --> 00:13:27,050
+طرفها، بتضلها بخلي أدهرجها على، على الدائرة،
+
+130
+00:13:27,050 --> 00:13:30,370
+بدهرجها على الدائرة وهي الدهرج بتكون ترسم له شكل
+
+131
+00:13:30,370 --> 00:13:34,570
+معين. الشكل هذا بسميه involute. يعني إما أكون عندي
+
+132
+00:13:34,570 --> 00:13:39,910
+خيط مشدود حوالي دائرة، وبطرف القلم ببدأ أرخي while
+
+133
+00:13:39,910 --> 00:13:43,750
+while، ببدأ أرخي وأنا الحبل مشدود ومماس
+
+134
+00:13:43,750 --> 00:13:47,730
+للدائرة، وأرسم. يعني زي أنا بدأت من النقطة هذه، بدأت
+
+135
+00:13:47,730 --> 00:13:52,780
+أرخي، أرخي، أرخي، وأرسم. يعني عندي هذا الحبل كان في
+
+136
+00:13:52,780 --> 00:13:57,820
+اللحظة هذه، كان بدأت من هنا من الصفر، بدأت أرخي، هذه
+
+137
+00:13:57,820 --> 00:14:00,500
+وصلت نقطة B1، بدأت أرخي أكتر وأنا ماشي في
+
+138
+00:14:00,500 --> 00:14:04,240
+القلم بأرسم، وصلت نقطة B2، بدأت أرخي وأنا
+
+139
+00:14:04,240 --> 00:14:08,060
+شادد، وصلت نقطة B3، B4، B5. الآن
+
+140
+00:14:08,060 --> 00:14:13,660
+التتبع هذا، هذا الـ curve بسميه involute of a circle.
+
+141
+00:14:20,710 --> 00:14:27,430
+بين عندي هيكون ترسين. هذا الـ pressure line، هذا الخط
+
+142
+00:14:27,430 --> 00:14:32,750
+اللي هو خط الدفع، خط الدفع، اللي بيصنع إن ده هو الـ
+
+143
+00:14:32,750 --> 00:14:36,510
+driver، بدفع along this line. هذا بسميه الـ
+
+144
+00:14:36,510 --> 00:14:38,550
+driver، وهذا الـ driven.
+
+145
+00:14:42,930 --> 00:14:46,170
+إزاي ما أنتم شايفين، نرجع للجيمتري للاسنان، أنا
+
+146
+00:14:46,170 --> 00:14:49,310
+عندي الدائرة الخارجية، هذا طبعاً الـ driver بسميه
+
+147
+00:14:49,310 --> 00:14:52,630
+pinion، والـ driven بسميه gear. يعني الـ pinion and
+
+148
+00:14:52,630 --> 00:14:55,570
+gear. يعني الـ driver هو الـ pinion عادة، عادة الـ
+
+149
+00:14:55,570 --> 00:14:59,910
+pinion بيكون حجمه أصغر من حجم الـ gear. هذه الـ الـ
+
+150
+00:14:59,910 --> 00:15:03,270
+الـ الـ الـ outside diameter أو الـ أو الـ
+
+151
+00:15:03,270 --> 00:15:08,360
+addendum circle للـ للـ pinion. هذه الـ outside
+
+152
+00:15:08,360 --> 00:15:13,300
+diameter أو الـ addendum circle للجير. هذه الـ root
+
+153
+00:15:13,300 --> 0:15:18,680
+circle أو الـ addendum circle للـ pinion. هذه الـ root
+
+154
+00:15:18,680 --> 00:15:25,820
+circle أو الـ addendum circle للجير. هذه هو الـ base
+
+155
+00:15:25,820 --> 00:15:28,660
+circle، هي الـ circle from which we generate الـ
+
+156
+00:15:28,660 --> 00:15:31,980
+involute. الـ circle اللي ولدنا منها اللي هو شكل الـ
+
+157
+00:15:31,980 --> 00:15:36,580
+involute. هذا line of action، خط عمل الدفع، line of
+
+158
+00:15:36,580 --> 00:15:41,740
+action. وهذه الزاوية بسميها الـ pressure angle. تقاطع
+
+159
+00:15:41,740 --> 00:15:47,260
+الخط الواصل بين مركز الـ pinion ومركز الجير مع الخط
+
+160
+00:15:47,260 --> 00:15:51,700
+اللي عند الـ pitch point، بسميها نقطة الـ pitch point.
+
+161
+00:15:51,700 --> 00:15:53,080
+طبعاً
+
+162
+00:15:56,200 --> 00:16:01,240
+هذا الـ radius للـ base circle. هذا الـ radius للـ
+
+163
+00:16:01,240 --> 00:16:05,220
+pitch circle. هذا الـ radius للـ outside diameter.
+
+164
+00:16:08,440 --> 00:16:11,660
+لاحظوا في عندي، طلعوا هنا في فراغ بين الـ
+
+165
+00:16:11,660 --> 00:16:14,920
+pinion والجير، في، يعني في، بيكونش، يعني نازل الاخر،
+
+166
+00:16:14,920 --> 00:16:19,480
+بسميه الـ clearance. الـ clearance، الـ working depth
+
+167
+00:16:19,480 --> 00:16:25,820
+هو مجموع الـ addendum، الـ
+
+168
+00:16:25,820 --> 00:16:30,340
+total depth، اللي هو مجموع الـ الـ الـ هذا هو
+
+169
+00:16:30,340 --> 00:16:33,910
+الـ working depth. هذا هو الـ working depth. الـ total
+
+170
+00:16:33,910 --> 00:16:37,770
+depth هو عمق السن كله من الـ root، من الـ root
+
+171
+00:16:37,770 --> 00:16:42,450
+للـ للـ outside diameter. الـ total depth اللي احنا
+
+172
+00:16:42,450 --> 00:16:45,970
+عاوزينه بيساوي اللي هو الـ addendum زائد addendum،
+
+173
+00:16:45,970 --> 00:16:49,590
+الـ working depth هو مجموع الـ addendum للـ pinion
+
+174
+00:16:49,590 --> 00:16:55,630
+زائد الـ addendum للـ للـ للـ gear. طبعاً هذا الـ
+
+175
+00:16:55,630 --> 
+
+223
+00:20:10,670 --> 00:20:15,270
+addendum depth tooth ال بيساوي واحد في الموديول ال
+
+224
+00:20:15,270 --> 00:20:18,250
+dedendum بيساوي واحد وربع في الموديول ال working
+
+225
+00:20:18,250 --> 00:20:23,040
+depth بيساوي اللي هي اتنين في الموديول ال total
+
+226
+00:20:23,040 --> 00:20:24,620
+depth اللي هو عبارة عن ال addendum زي
+
+227
+00:20:24,620 --> 00:20:44,680
+<Empty line, likely a transcription error>
+
+228
+00:21:07,360 --> 00:21:13,800
+نقرأ السؤال a single reduction gear of 120
+
+229
+00:21:13,800 --> 00:21:19,220
+kilowatt ال power عندي يعني ال power بيساوي مية و
+
+230
+00:21:19,220 --> 00:21:23,880
+عشرين كيلو وات with
+
+231
+00:21:23,880 --> 00:21:27,480
+a pinion ال pinion بتاع مئتين و خمسين ملي متر
+
+232
+00:21:27,480 --> 00:21:33,660
+pitch circle diameter هاي ال pinion وهاي
+
+233
+00:21:33,660 --> 00:21:34,080
+ال gear
+
+234
+00:21:39,770 --> 00:21:46,330
+هدا الـ gear ال
+
+235
+00:21:46,330 --> 00:21:53,370
+pitch circle diameter لل pinion دي لل pinion بيساوي
+
+236
+00:21:53,370 --> 00:21:57,710
+مئتين و خمسين ملي متر قطر ال pitch circle لل pinion
+
+237
+00:21:57,710 --> 00:22:05,470
+مئتين و خمسين ملي متر وال speed بتاعة ال pinion ال
+
+238
+00:22:05,470 --> 00:22:05,750
+N
+
+239
+00:22:09,020 --> 00:22:16,340
+ست مئة و خمسين rpm ست مئة و خمسين rpm ال
+
+240
+00:22:16,340 --> 00:22:24,460
+support on bearings on either side calculate the
+
+241
+00:22:24,460 --> 00:22:29,680
+total load due to the power it transmitted الان
+
+242
+00:22:29,680 --> 00:22:33,880
+طبعا هيكون عندي هاي ال total load
+
+243
+00:22:37,640 --> 00:22:45,520
+F و هدا هتكون ال pressure angle فيه هيكون لها
+
+244
+00:22:45,520 --> 00:22:56,060
+مركبتين F tangential و F radial ال F tangential
+
+245
+00:22:56,060 --> 00:22:59,960
+بيساوي
+
+246
+00:22:59,960 --> 00:23:04,960
+F cos فيه
+
+247
+00:23:07,110 --> 00:23:11,430
+الـ Phi معطى هو بمناسبة الـ Phi بيساوي عشرين
+
+248
+00:23:11,430 --> 00:23:16,470
+درجة ال
+
+249
+00:23:16,470 --> 00:23:20,610
+.. ال .. ال torque بيساوي
+
+250
+00:23:20,610 --> 00:23:27,550
+F tangential في ال radius و
+
+251
+00:23:27,550 --> 00:23:32,530
+ال power بيساوي ال torque في Omega
+
+252
+00:23:36,180 --> 00:23:41,200
+نعوض يعني ال power يعني ال torque هيكون بيساوي ال
+
+253
+00:23:41,200 --> 00:23:47,200
+power عندي مئة و عشرين في الف على أوميغا أوميغا
+
+254
+00:23:47,200 --> 00:23:51,420
+خليني أحسبه على جنب يعني أوميغا بيساوي ستمية و
+
+255
+00:23:51,420 --> 00:23:55,440
+خمسين بدي أحول ال radius per second في اتنين باي
+
+256
+00:23:55,440 --> 00:23:57,180
+على ستين
+
+257
+00:24:26,870 --> 00:24:32,350
+وبتطلع ثمانية وستون point
+
+258
+00:24:32,350 --> 00:24:39,910
+ثلاثة radians per second هي دي ال Omega يعني انا
+
+259
+00:24:39,910 --> 00:24:45,330
+هقسم هنا على ثمانية وستون point ثلاثة يعني ال
+
+260
+00:24:45,330 --> 00:24:49,250
+torque هيطلع مئة و عشرين
+
+261
+00:24:55,920 --> 00:24:59,740
+في الف تقسيم
+
+262
+00:24:59,740 --> 00:25:08,360
+ثمانية وستون point ثلاثة بتطلع الف وسبع مئة و
+
+263
+00:25:08,360 --> 00:25:14,260
+اربعة وستون نيوتن متر  حكينا
+
+264
+00:25:14,260 --> 00:25:18,780
+ال torque بيساوي F tangential في R
+
+265
+00:25:24,990 --> 00:25:28,690
+هي عن ال F10 Gen Shell هتكون بيساوي ال torque على
+
+266
+00:25:28,690 --> 00:25:33,870
+ال radius ال torque اللي هو 1764 ال radius انا
+
+267
+00:25:33,870 --> 00:25:36,850
+عندي القطر المعطى 250 معناه ال radius بيساوي 25 على
+
+268
+00:25:36,850 --> 00:25:44,910
+point 1 2 5 تقسيم
+
+269
+00:25:44,910 --> 00:25:49,170
+تطلع
+
+270
+00:25:49,170 --> 00:25:51,310
+14000
+
+271
+00:25:54,760 --> 00:26:00,300
+في نيوتن الـ
+
+272
+00:26:00,300 --> 00:26:07,620
+FT هادي بالثوابت cos  الفاى معناته ال F هتكون
+
+273
+00:26:07,620 --> 00:26:11,940
+بيساوي FT على cos الفاى اللي هي اربعة عشر الف ومئة
+
+274
+00:26:11,940 --> 00:26:15,560
+واحد  على cos العشرين
+
+275
+00:26:39,830 --> 00:26:45,970
+بتطلع خمسة عشر الف وسبعة عشر خمسة عشر الف وسبعة عشر
+
+276
+00:26:45,970 --> 00:26:49,610
+نيوتن معناته ال total load اللي هو F بيساوي
+
+277
+00:26:49,610 --> 00:26:53,790
+خمسة عشر الف وسبعة عشر نيوتن يعني حوالي خمسة عشر
+
+278
+00:26:53,790 --> 00:26:57,410
+كيلو نيوتن هيك يكون أنهينا المحاضرة الاولى في مادة
+
+279
+00:26:57,410 --> 00:27:00,870
+نظرية الالات المرة الجاية بنكمل في المحاضرة
+
+280
+00:27:00,870 --> 00:27:02,070
+الثانية  اعطيكم العفو
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/_yp06s8zgfo_postprocess.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/_yp06s8zgfo_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..b3d16a93e94d6ef7e954fd6382490c93e5ec2a4f
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/_yp06s8zgfo_postprocess.srt
@@ -0,0 +1,1120 @@
+1
+00:00:05,360 --> 00:00:09,440
+هنحكي عن ال law of gearings أنا في عنه two bodies
+
+2
+00:00:09,440 --> 00:00:14,720
+one body is rotating about point O واحد another
+
+3
+00:00:14,720 --> 00:00:19,600
+body بي rotate حوالي نقطة O اتنين الجسم الأولان
+
+4
+00:00:19,600 --> 00:00:24,120
+بتدور بسرعة زاوية Omega واحدو الجسم التاني اكيد
+
+5
+00:00:24,120 --> 00:00:27,740
+هتدور بسرعة ازاى و omega اتنين فى نقطة تلامس
+
+6
+00:00:27,740 --> 00:00:32,200
+الجسمين المتلامسين عن نقطة C بنرسم اللى هو
+
+7
+00:00:32,200 --> 00:00:35,300
+المتعامل ال common normal at point C هذا هو ال
+
+8
+00:00:35,300 --> 00:00:39,440
+common normal و فى عند ال common tangent الان
+
+9
+00:00:39,440 --> 00:00:45,110
+النقطة Cممكن تدرس باعتبارها مرة على الجسم الأول و
+
+10
+00:00:45,110 --> 00:00:48,810
+مرة على الجسم التاني إذا درست النقطة C باعتبارها
+
+11
+00:00:48,810 --> 00:00:53,490
+على الجسم الأول هتكون VC واحد VC واحد هتكون تساوي
+
+12
+00:00:53,490 --> 00:01:01,150
+O واحد C في Omega واحد وإذا درست النقطة C
+
+13
+00:01:01,150 --> 00:01:04,950
+باعتبارها على الجسم التاني هتكون VC اتنين بسوء
+
+14
+00:01:04,950 --> 00:01:12,170
+Omega اتنين بسوء Omega اتنين في O اتنين Cالان ال
+
+15
+00:01:12,170 --> 00:01:16,350
+VC1 بتعمل
+
+16
+00:01:16,350 --> 00:01:21,010
+زاوية Alpha مع ال Common Normal و VC2 بتعمل زاوية
+
+17
+00:01:21,010 --> 00:01:27,790
+Beta مع ال Common Tangent الان مراكبة ال VC1
+
+18
+00:01:27,790 --> 00:01:30,830
+باتجاه
+
+19
+00:01:30,830 --> 00:01:36,610
+ال Common Normal عبارة عن VC1 Cos Alphaومركبة ال
+
+20
+00:01:36,610 --> 00:01:41,630
+Vc2 باتجاه ال common normal بالسواء Vc2 Cos Beta
+
+21
+00:01:41,630 --> 00:01:48,170
+الآن مركبة ال Vc1 باتجاه ال common normal ممكن
+
+22
+00:01:48,170 --> 00:01:54,480
+تكون تساويالاحتمالات بتاعتها تكون تساوي او اكبر او
+
+23
+00:01:54,480 --> 00:02:00,180
+اقل من مركبة ال Vc2 في اتجاه ال common normal ناخد
+
+24
+00:02:00,180 --> 00:02:06,060
+الحالات التلاتة لو كانت ال Vc1 طبعا اذكر ان ال two
+
+25
+00:02:06,060 --> 00:02:10,160
+bodies are rigid bodies لو كانت مركبة ال Vc1 اللي
+
+26
+00:02:10,160 --> 00:02:16,600
+هي V .. لو كان Vc1 Cos Alpha أكبر من Vc2 Cos Beta
+
+27
+00:02:16,600 --> 00:02:20,120
+هينغرز الجسم الأولاني في الجسم التاني وهذا مستحيل
+
+28
+00:02:22,050 --> 00:02:27,050
+حالة التانية أن يكون مركبة ال VC1 في اتجاه ال
+
+29
+00:02:27,050 --> 00:02:31,110
+common normal أقل من مركبة ال VC2 في اتجاه ال
+
+30
+00:02:31,110 --> 00:02:35,550
+common normal يعني VC1 cos α تكون أصغر من VC2 cos
+
+31
+00:02:35,550 --> 00:02:40,150
+β في الحالة هذه we lose contact حينفصل الجسمين عن
+
+32
+00:02:40,150 --> 00:02:43,900
+بعضمعناته .. برضه هذه الحالة ماتصلطش .. معناته
+
+33
+00:02:43,900 --> 00:02:48,960
+عشان أستمر بحالة التلامس الجسماني دائما يبقى في
+
+34
+00:02:48,960 --> 00:02:53,840
+حالة تلامس لازم مراكبة ال VC1 بتجاه ال common
+
+35
+00:02:53,840 --> 00:02:57,240
+normal تستوى مراكبة ال VC2 بتجاه ال common normal
+
+36
+00:02:57,240 --> 00:03:08,090
+يعني VC1 cos α لازم تستوى VC2 cos βالان VC1 احنا
+
+37
+00:03:08,090 --> 00:03:13,510
+حكينا خلينا نعمل عمودي من O1 على ال corner O1 اما
+
+38
+00:03:13,510 --> 00:03:16,930
+هذا عمودي ع ال common normal و عمودي من نقطة O2
+
+39
+00:03:16,930 --> 00:03:20,870
+على ال corner O2N معناة O2N عمودي ع ال common
+
+40
+00:03:20,870 --> 00:03:28,460
+normal اذا بتركز كويس هتلاحظ ان زاوية Alphaالفا
+
+41
+00:03:28,460 --> 00:03:36,980
+بتساوي الزاوية MO1C والزاوية بيتا بتساوي ال .. ال
+
+42
+00:03:36,980 --> 00:03:42,800
+.. ال .. الزاوية اللي هو NO2C
+
+43
+00:03:42,800 --> 00:03:49,900
+معناته هذه الزاوية بيتا طيب معناته هتصير عندي احنا
+
+44
+00:03:49,900 --> 00:03:57,470
+حكينا VC1VC1 cos α بيساوة VC2 cos β والـ VC1
+
+45
+00:03:57,470 --> 00:04:01,310
+بيساوة Omega 1 O1C والـ VC2 بيساوة Omega 2 O2C
+
+46
+00:04:01,310 --> 00:04:07,970
+والـ cos α بيساوة O1M على O1C والـ cos β O2N على
+
+47
+00:04:07,970 --> 00:04:13,070
+O2Cبنعود في المعادلة هذه VC1 لـ Omega 1 في O1C
+
+48
+00:04:13,070 --> 00:04:21,330
+كوسين ألف O1M على O1C و في VC2 اللي هو Omega 2 OC2
+
+49
+00:04:21,330 --> 00:04:28,050
+في O2N على O2C بنختصر O1C مع O1C و O2C مع O2C
+
+50
+00:04:28,050 --> 00:04:34,330
+بيصفر عندي Omega 1 في O1M يعني أحسن عندي Omega 1
+
+51
+00:04:34,330 --> 00:04:49,000
+على Omega 2بالساوية O to N على O واحد M لان اذا
+
+52
+00:04:49,000 --> 00:04:55,700
+باخد المتلثين المتلثين نرجع للشكل المتلثين اللي هو
+
+53
+00:04:55,700 --> 00:05:00,540
+O واحد M
+
+54
+00:05:00,540 --> 00:05:05,740
+C و O to N
+
+55
+00:05:09,740 --> 00:05:20,540
+C هكون عند او واحد M على او اتنين N لأ انا بدي اخد
+
+56
+00:05:20,540 --> 00:05:27,300
+المثلثين مش هدوه المثلثين خد نمسح هاخد
+
+57
+00:05:27,300 --> 00:05:30,720
+انا هوصل او واحد هوصل او واحد مع او اتنين بتقطع في
+
+58
+00:05:30,720 --> 00:05:43,400
+P هاخد المثلثين او واحد M Pو O2N
+
+59
+00:05:43,400 --> 00:05:48,560
+P هاندي
+
+60
+00:05:48,560 --> 00:06:09,670
+O1M P و O2N P هكوندي O1M O1M على O2N بالساويةO1P
+
+61
+00:06:09,670 --> 00:06:18,910
+على O2P يعني هسينا عندي Omega 1 على Omega 2
+
+62
+00:06:18,910 --> 00:06:25,190
+بالساوية O2P
+
+63
+00:06:25,190 --> 00:06:31,450
+على O1P معناته
+
+64
+00:06:31,450 --> 00:06:37,580
+ال law of gearingعشان تكون Omega 1 على Omega 2
+
+65
+00:06:37,580 --> 00:06:42,880
+ثابتة عشان تكون ثابتة
+
+66
+00:06:43,530 --> 00:06:49,610
+لازتكون ال ratio O2P على O1P ثابتة مع العلم P هي
+
+67
+00:06:49,610 --> 00:06:56,010
+نقطة تقاطع الخط الواصل بين مركز دوران O1 و مركز
+
+68
+00:06:56,010 --> 00:06:59,610
+دوران O2 و ال common node at the point of contact
+
+69
+00:06:59,610 --> 00:07:02,510
+هذا يعني برضه عشان تكون امجد واحد و امجد اتنين
+
+70
+00:07:02,510 --> 00:07:07,670
+ثابتين ان النقطة P تكون fixed النقطة P هتبسميها ال
+
+71
+00:07:07,670 --> 00:07:12,170
+pitch point النقطة P تكون fixed بسميها ال pitch
+
+72
+00:07:12,170 --> 00:07:17,290
+pointالان ال Velocity of sliding ال Velocity of
+
+73
+00:07:17,290 --> 00:07:22,030
+sliding along ال common tangent عندي ال .. ال ..
+
+74
+00:07:22,030 --> 00:07:32,190
+ال .. ال Vs هتكون .. هتكون VC1 Sin Alpha VC1 Sin
+
+75
+00:07:32,190 --> 00:07:40,370
+Alpha minus VC2 Sin Beta
+
+76
+00:07:46,220 --> 00:07:51,860
+طبعا احنا حكينا sin α يعني هيكون VC1 اللي هي omega
+
+77
+00:07:51,860 --> 00:08:05,220
+1 في O1C في sin α .. sin α اللي هي هتكون .. sin α
+
+78
+00:08:05,220 --> 00:08:11,320
+اللي هي هتكون MC على
+
+79
+00:08:11,320 --> 00:08:14,100
+O1C minus
+
+80
+00:08:15,790 --> 00:08:23,350
+VC2 وهي Omega 2 في O2C في Sine Beta من الطلاب من
+
+81
+00:08:23,350 --> 00:08:31,650
+الشكل Sine Beta بيستوي NC على
+
+82
+00:08:31,650 --> 00:08:39,530
+O2C يعني هنختصر O1C مع O1C O2C مع O2C بيصف في
+
+83
+00:08:39,530 --> 00:08:41,790
+Omega 1MC
+
+84
+00:08:42,890 --> 00:08:50,850
+مينوس أميجا اتنين NC هيتساوي اللحظة MC ممكن
+
+85
+00:08:50,850 --> 00:08:57,350
+نعتبرها عبارة عن two segments الان
+
+86
+00:08:57,350 --> 00:09:01,110
+ال
+
+87
+00:09:01,110 --> 00:09:04,810
+MC ال
+
+88
+00:09:04,810 --> 00:09:09,710
+V sliding بتساوي
+
+89
+00:09:11,090 --> 00:09:19,870
+اميجا واحد MC مينوس اوميجا اتنين في NC حتى تستوى
+
+90
+00:09:19,870 --> 00:09:25,190
+اوميجا واحد ال MC اتطلعوا على الشكل ال MC بيستوى
+
+91
+00:09:25,190 --> 00:09:36,410
+MP زائد PC MP زائد PC مينوس اوميجا اتنين ال NCالـ
+
+92
+00:09:36,410 --> 00:09:48,450
+NC عبارة عن NP minus ال NC ال NP minus ال NC يعني
+
+93
+00:09:48,450 --> 00:09:58,990
+هتكون Omega 1 في ال NP minus Omega 2 في ال NP زائد
+
+94
+00:09:58,990 --> 00:10:02,110
+PC
+
+95
+00:10:02,110 --> 00:10:03,790
+مشترك
+
+96
+00:10:05,560 --> 00:10:17,040
+أنا غلطان هنا دي ال N P minus ال P C minus
+
+97
+00:10:17,040 --> 00:10:25,720
+ال P C P C في Omega واحد زاد Omega اتنين لحظ وانت
+
+98
+00:10:25,720 --> 00:10:32,220
+شايف المثلثات O واحد M P و O اتنين M P بيكون عندى
+
+99
+00:10:32,220 --> 00:10:40,070
+اللى هوأمجا واحد على أمجا اتنين بالساوية أمجا واحد
+
+100
+00:10:40,070 --> 00:10:44,370
+على أمجا اتنين بالساوية اتنين على ا ا واحد ام على
+
+101
+00:10:44,370 --> 00:10:47,670
+ا اتنين ان بالساوية ا واحد بي على ا اتنين بي
+
+102
+00:10:47,670 --> 00:10:57,710
+بالساوية ام بي على ان بي معناته هذا هيكون الساوية
+
+103
+00:10:57,710 --> 00:11:07,660
+ان بي على ام بي معناته عند امجا واحدن بي بيساوي
+
+104
+00:11:07,660 --> 00:11:12,980
+omega 2 ن بي معناته هدول أشمالهم ال two terms
+
+105
+00:11:12,980 --> 00:11:17,540
+بيروحوا مع بعض معناته ال sliding velocity vs هتكون
+
+106
+00:11:17,540 --> 00:11:31,580
+pc في omega 1 زائد omega 2 معناته
+
+107
+00:11:31,580 --> 00:11:36,040
+ال sliding velocityسرعة النزلات بين الـ two bodies
+
+108
+00:11:36,040 --> 00:11:40,720
+at the point of contact بتعتمد على بعد ال pitch
+
+109
+00:11:40,720 --> 00:11:44,600
+point على ال contact point إذا كانت ال pitch point
+
+110
+00:11:44,600 --> 00:11:48,960
+مطابقة مع ال contact point بيكونش عندى sliding، no
+
+111
+00:11:48,960 --> 00:11:53,040
+sliding فكل ما بيدت نقطة ال pitch point على ال
+
+112
+00:11:53,040 --> 00:11:55,740
+contact point كل ما زاد ال sliding between the two
+
+113
+00:11:55,740 --> 00:11:56,020
+bodies
+
+114
+00:12:02,940 --> 00:12:07,160
+ليه هذه العلاقة؟ vs بيستخدم omega 1 زي omega 2 في
+
+115
+00:12:07,160 --> 00:12:17,480
+Pc الآن
+
+116
+00:12:17,480 --> 00:12:26,290
+شكل السن ممكن يكون أي شكلطالما انه يحقق ال law of
+
+117
+00:12:26,290 --> 00:12:30,570
+gearing اللي ذكرناها سابقا شكل السن ال profile
+
+118
+00:12:30,570 --> 00:12:36,270
+بتاع السن ممكن يكون اي شكل طالما انه بيحقق ال law
+
+119
+00:12:36,270 --> 00:12:40,950
+of gearing احنا هندرس اللي هو حالة خاصة اللي هي
+
+120
+00:12:40,950 --> 00:12:46,320
+الاكتر شيوعا اللي هي ال invalid teeth forminvolute
+
+121
+00:12:46,320 --> 00:12:51,360
+of a circle ان انا بكون يعني بكون عندي دائرة دائرة
+
+122
+00:12:51,360 --> 00:12:57,180
+بسميها ال base circle بكون لافف حواليها حبل بكون
+
+123
+00:12:57,180 --> 00:13:02,360
+لافف حواليها حبل بكون في قلم في طرف الحبل بكون
+
+124
+00:13:02,360 --> 00:13:06,400
+ارفع الحبل و هو مجدود برفع الحبل و هو مجدود يعني
+
+125
+00:13:06,400 --> 00:13:09,020
+انا طالع عندي هذه النقطة و هذه النقطة انا بدأت
+
+126
+00:13:09,020 --> 00:13:15,350
+بدأت من النقطة من نقطة معينةبكون أبدأ أرفع الحبل و
+
+127
+00:13:15,350 --> 00:13:20,190
+أرسم بحصل على شكل معين بسميه ال value أو بحط مصطرة
+
+128
+00:13:20,190 --> 00:13:23,350
+.. مصطرة بتكون tangent مثلا تانجنت بحط قلم على
+
+129
+00:13:23,350 --> 00:13:27,050
+طرفها بتضلها بخلي أدهرجها على .. على الدائرة
+
+130
+00:13:27,050 --> 00:13:30,370
+بدهرجها على الدائرة و هي الدهرج بتكون ترسم له شكل
+
+131
+00:13:30,370 --> 00:13:34,570
+معينالشكل هذا بسميه involute يعني إما أكون عندي
+
+132
+00:13:34,570 --> 00:13:39,910
+خيط مشدود حوالي دائرة و بطرف القلم ببدأ أرخي while
+
+133
+00:13:39,910 --> 00:13:43,750
+.. while .. ببدأ أرخي و أنا الحبل مشدود و مماس
+
+134
+00:13:43,750 --> 00:13:47,730
+للدائرة و أرسم يعني زي أنا بدأت من النقطة هذه بدأت
+
+135
+00:13:47,730 --> 00:13:52,780
+أرخي أرخي أرخيو أرسم يعني عندي هذه الحبل كان في
+
+136
+00:13:52,780 --> 00:13:57,820
+اللحظة هذه كان بدأت من هنا من الصفر بدأت أرخي هذه
+
+137
+00:13:57,820 --> 00:14:00,500
+وصلت نقطة بي واحد بدأت أرخ أكتر و أنا ماشي في
+
+138
+00:14:00,500 --> 00:14:04,240
+القلم بأرسم وصلت نقطة بي اتنين بدأت أرخي و أنا
+
+139
+00:14:04,240 --> 00:14:08,060
+شادد وصلت نقطة بي تلاتة بي أربع بي خمسة الآن
+
+140
+00:14:08,060 --> 00:14:13,660
+التتبع هذا هذا ال curve بسميه involute of a circle
+
+141
+00:14:20,710 --> 00:14:27,430
+انبين عندى هين ترسين هذا ال pressure line هذا الخط
+
+142
+00:14:27,430 --> 00:14:32,750
+اللى هو خط الدفع خط الدفع اللى اصنع ان ده هو ال
+
+143
+00:14:32,750 --> 00:14:36,510
+driver بدفع along this line هذا بسمع الشمال ال
+
+144
+00:14:36,510 --> 00:14:38,550
+driver و هذا ال driven
+
+145
+00:14:42,930 --> 00:14:46,170
+أزاى ما انتوا شايفين نرجع للجيومتري للإسنان، أنا
+
+146
+00:14:46,170 --> 00:14:49,310
+عندى الدائرة الخارجى، هذا طبعا ال driver بسميه
+
+147
+00:14:49,310 --> 00:14:52,630
+penion و ال driven بسميه gear يعني ال penion and
+
+148
+00:14:52,630 --> 00:14:55,570
+gear يعني ال driver هو ال penion عادة، عادة ال
+
+149
+00:14:55,570 --> 00:14:59,910
+penion بيكون حجمه أصغر من حجم ال gear هذه ال .. ال
+
+150
+00:14:59,910 --> 00:15:03,270
+.. ال .. ال .. ال outside diameter او ال .. او ال
+
+151
+00:15:03,270 --> 00:15:08,360
+addendum circle لل .. لل penion هذهال outside
+
+152
+00:15:08,360 --> 00:15:13,300
+diameter او ال addendum circle للجير هذه ال root
+
+153
+00:15:13,300 --> 00:15:18,680
+circle او ال addendum circle لل panion هذه ال root
+
+154
+00:15:18,680 --> 00:15:25,820
+circle او ال addendum circle للجيرهذه هو ال base
+
+155
+00:15:25,820 --> 00:15:28,660
+circle هي ال circle from which we generate ال
+
+156
+00:15:28,660 --> 00:15:31,980
+involute ال circle اللي ولدنا منها اللي هو شكل ال
+
+157
+00:15:31,980 --> 00:15:36,580
+involute هذا line of action خط عمل الدفع line of
+
+158
+00:15:36,580 --> 00:15:41,740
+action وهذه الزاوية بسميها ال pressure angle تقاطع
+
+159
+00:15:41,740 --> 00:15:47,260
+الخط الواصف بين مركز ال pinion ومركز الجير مع الخط
+
+160
+00:15:47,260 --> 00:15:51,700
+اللي عند ال pitch point بسميها نقطة ال pitch point
+
+161
+00:15:51,700 --> 00:15:53,080
+طبعا
+
+162
+00:15:56,200 --> 00:16:01,240
+هذا ال radius لل base circle هذا ال radius لل
+
+163
+00:16:01,240 --> 00:16:05,220
+pitch circle هذا ال radius لل outside diameter
+
+164
+00:16:08,440 --> 00:16:11,660
+اللاحظوا في عندى .. طلعوا هنا في فراغ بين ال
+
+165
+00:16:11,660 --> 00:16:14,920
+opinion في .. يعني في .. بيكونش .. يعني نازل الاخر
+
+166
+00:16:14,920 --> 00:16:19,480
+بسميه ال clearance ال clearance ال working depth
+
+167
+00:16:19,480 --> 00:16:25,820
+هو مجموع ال addendum ال
+
+168
+00:16:25,820 --> 00:16:30,340
+total depth اللي هو مجموع ال .. ال .. ال .. هذا هو
+
+169
+00:16:30,340 --> 00:16:33,910
+ال working depth هذا هو ال working depthال total
+
+170
+00:16:33,910 --> 00:16:37,770
+depth هو عمق السن الكل من ال route .. من ال route
+
+171
+00:16:37,770 --> 00:16:42,450
+لل .. لل outside diameter ال total depth اللي احنا
+
+172
+00:16:42,450 --> 00:16:45,970
+عاوز نحنا بيساوي اللي هو ال addendum زاد addendum
+
+173
+00:16:45,970 --> 00:16:49,590
+ال working depth هو مجموع ال addendum لل pinion
+
+174
+00:16:49,590 --> 00:16:55,630
+زاد ال addendum لل .. لل .. لل gearطبعا هذا ال
+
+175
+00:16:55,630 --> 00:17:00,250
+base radius للجير، هذا ال pitch radius للجير، هذا
+
+176
+00:17:00,250 --> 00:17:06,030
+ال outside radius للجير، هذا يسمى ال top land، هذا
+
+177
+00:17:06,030 --> 00:17:09,710
+ال involute profile، و في عندى بتكون هنا و هنا في
+
+178
+00:17:09,710 --> 00:17:14,330
+زى دوران خفيف يسمى ال fillet، ال fillet بتكون
+
+179
+00:17:14,330 --> 00:17:17,470
+عاملة اللى هي دوران بين ال root circle أو ال
+
+180
+00:17:17,470 --> 00:17:22,140
+tandem circle و ال involute profileهذا الكلام
+
+181
+00:17:22,140 --> 00:17:30,520
+حاكيناه بس انا حابعيده عشان انرسخ المعلومة الان
+
+182
+00:17:30,520 --> 00:17:37,140
+انا عندى ترسين ترس مركز دورانه O1 they are in mesh
+
+183
+00:17:37,140 --> 00:17:41,500
+و الترس التاني ال driven اللي هو الجير مركز دورانه
+
+184
+00:17:41,500 --> 00:17:46,560
+O2 الخط الواصل بين A1 و A2 بسميه ال center
+
+185
+00:17:46,560 --> 00:17:50,920
+distanceالنقطة الطبيعية الآن هذا ال base circle
+
+186
+00:17:50,920 --> 00:17:55,040
+هذا ال base circle لل driver هذا ال base circle لل
+
+187
+00:17:55,040 --> 00:17:58,500
+driven الخط ال tangent between the two base
+
+188
+00:17:58,500 --> 00:18:04,100
+circles بسميه line of action الزاوية هذا بسميها ال
+
+189
+00:18:04,100 --> 00:18:08,760
+pressure angle زاوية الضغط الآن ال force اللي
+
+190
+00:18:08,760 --> 00:18:15,800
+بتأثر بين الأسنان اللي صار تعشيق بينهم اللي هي F
+
+191
+00:18:16,480 --> 00:18:21,460
+الها مركبتين واحدة بتجاه F tangential واحدة بتجاه
+
+192
+00:18:21,460 --> 00:18:25,280
+ال vertical F radial يعني ال total force اللي هي
+
+193
+00:18:25,280 --> 00:18:27,100
+بتأثر بتجاه line of action اللي هي متأثر بتجاه
+
+194
+00:18:27,100 --> 00:18:27,740
+line of action اللي هي متأثر بتجاه line of action
+
+195
+00:18:27,740 --> 00:18:28,660
+اللي هي متأثر بتجاه line of action اللي هي متأثر
+
+196
+00:18:28,660 --> 00:18:29,000
+بتجاه line of action اللي هي متأثر بتجاه line of
+
+197
+00:18:29,000 --> 00:18:29,020
+action اللي هي متأثر بتجاه line of action اللي هي
+
+198
+00:18:29,020 --> 00:18:30,960
+action اللي هي متأثر بتجاه line of action اللي هي
+
+199
+00:18:30,960 --> 00:18:33,860
+متأثر بتجاه line of action اللي هي متأثر بتجاه
+
+200
+00:18:33,860 --> 00:18:41,310
+line of action اللالـ torque العزم .. العزم هيكون
+
+201
+00:18:41,310 --> 00:18:44,970
+يساوي ال tangential force في نصف القطر F
+
+202
+00:18:44,970 --> 00:18:48,690
+tangential في نصف القطر F tangential بيساوي F
+
+203
+00:18:48,690 --> 00:19:00,410
+cosine في و F radial بيساوي F sin في طيب
+
+204
+00:19:00,410 --> 00:19:06,370
+ال systems of gear teeth أنظمت الأسنان في الاتروس
+
+205
+00:19:07,410 --> 00:19:11,010
+احنا هندرس الآن في ال course هذا four systems of
+
+206
+00:19:11,010 --> 00:19:13,750
+gear teeth are in common practice في اللي هو اللي
+
+207
+00:19:13,750 --> 00:19:18,130
+في الممارسة الهندسية العملية في عندي أربع أنظم
+
+208
+00:19:18,130 --> 00:19:21,430
+الأسنان للأسنان في عندي الأربع تاشر و نص composite
+
+209
+00:19:21,430 --> 00:19:24,130
+system أربع تاشر و نص دي جديد لما بيحكي أربع تاشر
+
+210
+00:19:24,130 --> 00:19:26,690
+و نص يعني بيحكي على pressure angle Phi في عندي
+
+211
+00:19:26,690 --> 00:19:30,780
+أربع تاشر و نص full depth involute systemفي عندي
+
+212
+00:19:30,780 --> 00:19:34,120
+عشرين ديجري fold depth in the system وفي عشرين
+
+213
+00:19:34,120 --> 00:19:37,520
+ديجري stop involute in the system stop involute
+
+214
+00:19:37,520 --> 00:19:42,160
+يعني السن بيكون قصير سن الترس بيكون قصير ال
+
+215
+00:19:42,160 --> 00:19:46,560
+pressure أنا جاله عشرين الجدول اللي مبين أمامي
+
+216
+00:19:46,560 --> 00:19:49,880
+مبين اللي هو أنظمة اللي هي أربعاش و نص composite
+
+217
+00:19:49,880 --> 00:19:54,000
+or fold depth والعشرين ديجري fold depth والعشرين
+
+218
+00:19:54,000 --> 00:19:58,650
+ديجري stopأمارجيني قيم الـ addendum و ال dedendum
+
+219
+00:19:58,650 --> 00:20:01,430
+و ال working depth و ال minimum total depth و ال
+
+220
+00:20:01,430 --> 00:20:03,590
+tooth thickness و ال minimum clearance و ال fillet
+
+221
+00:20:03,590 --> 00:20:07,590
+radius at the root as a function of module يعني في
+
+222
+00:20:07,590 --> 00:20:10,670
+حالة في حالة اربع تاشر و نص composite or full
+
+223
+00:20:10,670 --> 00:20:15,270
+depth tooth ال addendum بيساو واحد في الموديول ال
+
+224
+00:20:15,270 --> 00:20:18,250
+dedendum بيساو واحد و ربع في الموديول ال working
+
+225
+00:20:18,250 --> 00:20:23,040
+depthبساوي اللي هي اتنين في الموديول ال total
+
+226
+00:20:23,040 --> 00:20:24,620
+depth اللي هو عبارة عن ال addendum زي
+
+227
+00:20:24,620 --> 00:20:44,680
+اددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددد
+
+228
+00:21:07,360 --> 00:21:13,800
+نقرأ السؤال a single reduction gear of 120
+
+229
+00:21:13,800 --> 00:21:19,220
+kilowatt ال power عندي يعني ال power بيستوى مية و
+
+230
+00:21:19,220 --> 00:21:23,880
+عشرين كيلو وات with
+
+231
+00:21:23,880 --> 00:21:27,480
+a pinion ال pinion بتاع ميتين و خمسين ميلي متر
+
+232
+00:21:27,480 --> 00:21:33,660
+pitch circle diameter هاي ال pinion وهاي
+
+233
+00:21:33,660 --> 00:21:34,080
+ال gear
+
+234
+00:21:39,770 --> 00:21:46,330
+هداش الـ gear ال
+
+235
+00:21:46,330 --> 00:21:53,370
+pitch circle دي متر لل pinion دي لل pinion بساوة
+
+236
+00:21:53,370 --> 00:21:57,710
+متين و خمسين ملي متر قطر ال pitch circle لل pinion
+
+237
+00:21:57,710 --> 00:22:05,470
+متين و خمسين ملي متر وال speed بتاعة ال pinion ال
+
+238
+00:22:05,470 --> 00:22:05,750
+N
+
+239
+00:22:09,020 --> 00:22:16,340
+ست مية و خمسين ر بي ام ست مية و خمسين ر بي ام ال
+
+240
+00:22:16,340 --> 00:22:24,460
+support on bearings on either side calculate the
+
+241
+00:22:24,460 --> 00:22:29,680
+total load due to the power it transmitted الان
+
+242
+00:22:29,680 --> 00:22:33,880
+طبعا هكون عندي هاي ال total load
+
+243
+00:22:37,640 --> 00:22:45,520
+F و هدا هتكون ال pressure angle فيه هكون لها
+
+244
+00:22:45,520 --> 00:22:56,060
+مركبتين F tangential و F radial ال F tangential
+
+245
+00:22:56,060 --> 00:22:59,960
+بستوى
+
+246
+00:22:59,960 --> 00:23:04,960
+F cosine فيه
+
+247
+00:23:07,110 --> 00:23:11,430
+الـ Phi معطنية هو بمناسبة الـ Phi بالسواء عشرين
+
+248
+00:23:11,430 --> 00:23:16,470
+درجة ال
+
+249
+00:23:16,470 --> 00:23:20,610
+.. ال .. ال torque بالسواء
+
+250
+00:23:20,610 --> 00:23:27,550
+F tangential في ال radius و
+
+251
+00:23:27,550 --> 00:23:32,530
+ال power بالسواء ال torque في Omega
+
+252
+00:23:36,180 --> 00:23:41,200
+انعوض يعني ال power يعني ال torque هيكون الساوى ال
+
+253
+00:23:41,200 --> 00:23:47,200
+power عندى مية و عشرين في الف على أميجا أميجا
+
+254
+00:23:47,200 --> 00:23:51,420
+خليني أحسبه على جنب يعني أميجا بالساوية ستمية و
+
+255
+00:23:51,420 --> 00:23:55,440
+خمسين بدي أحوال ال radius per second في اتنين باي
+
+256
+00:23:55,440 --> 00:23:57,180
+على ستين
+
+257
+00:24:26,870 --> 00:24:32,350
+وبتطلع تمانية و ستين point
+
+258
+00:24:32,350 --> 00:24:39,910
+O تلاتة radians per second هي دي ال Omega يعني انا
+
+259
+00:24:39,910 --> 00:24:45,330
+هقسم هنا على تمانية و ستين point O تلاتة يعني ال
+
+260
+00:24:45,330 --> 00:24:49,250
+torque هيطلع مية و عشرين
+
+261
+00:24:55,920 --> 00:24:59,740
+فى الف تقسيم
+
+262
+00:24:59,740 --> 00:25:08,360
+تماية و ستين point او تلاتة بتطلع الف و سبعمية و
+
+263
+00:25:08,360 --> 00:25:14,260
+اربعة و ستين نيوتن متر حكينا
+
+264
+00:25:14,260 --> 00:25:18,780
+ال torque بالساوية F tangential فى R
+
+265
+00:25:24,990 --> 00:25:28,690
+هى عن ال F10 Gen Shell هتكون تستوى ال torque على
+
+266
+00:25:28,690 --> 00:25:33,870
+ال radius ال torque اللى هو 1764 ال radius أنا
+
+267
+00:25:33,870 --> 00:25:36,850
+عندى القطر المعطنى 250معناه ال radius بيها 25 على
+
+268
+00:25:36,850 --> 00:25:44,910
+point 1 2 5 تقسيم
+
+269
+00:25:44,910 --> 00:25:49,170
+تطلع
+
+270
+00:25:49,170 --> 00:25:51,310
+1400 14000
+
+271
+00:25:54,760 --> 00:26:00,300
+فى نيوتن الـ
+
+272
+00:26:00,300 --> 00:26:07,620
+FT هادى بالثواب ف كوصين الفاى معناته ال F هتكون
+
+273
+00:26:07,620 --> 00:26:11,940
+تستوى FT على كوصين الفاى اللى هى اربعتاشر الف ومية
+
+274
+00:26:11,940 --> 00:26:15,560
+واحداش على كوصين العشرين
+
+275
+00:26:39,830 --> 00:26:45,970
+بتطلع خمستاشر ألف و سبعتاشر خمستاشر ألف و سبعتاشر
+
+276
+00:26:45,970 --> 00:26:49,610
+نيوتن معناته ال total load اللي هو F بالساوية
+
+277
+00:26:49,610 --> 00:26:53,790
+خمستاشر ألف و سبعتاشر نيوتن يعني حوالي خمستاشر
+
+278
+00:26:53,790 --> 00:26:57,410
+كيلو نيوتن هيك يكون أنهينا المحاضرة الأولى في مادة
+
+279
+00:26:57,410 --> 00:27:00,870
+نظرية الألات المرة الجاية بنكمل في المحاضرة
+
+280
+00:27:00,870 --> 00:27:02,070
+التانية اعطيكوا العفو
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/_yp06s8zgfo_raw.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/_yp06s8zgfo_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..a7ceedcbc2b24eafd529759300b839965f016f97
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/_yp06s8zgfo_raw.srt
@@ -0,0 +1,1136 @@
+1
+00:00:05,360 --> 00:00:09,440
+هنحكي عن ال law of gearings أنا في عنه two bodies
+
+2
+00:00:09,440 --> 00:00:14,720
+one body is rotating about point O واحد another
+
+3
+00:00:14,720 --> 00:00:19,600
+body بي rotate حوالي نقطة O اتنين الجسم الأولان
+
+4
+00:00:19,600 --> 00:00:24,120
+بتدور بسرعة زاوية Omega واحدو الجسم التاني اكيد
+
+5
+00:00:24,120 --> 00:00:27,740
+هتدور بسرعة ازاى و omega اتنين فى نقطة تلامس
+
+6
+00:00:27,740 --> 00:00:32,200
+الجسمين المتلامسين عن نقطة C بنرسم اللى هو
+
+7
+00:00:32,200 --> 00:00:35,300
+المتعامل ال common normal at point C هذا هو ال
+
+8
+00:00:35,300 --> 00:00:39,440
+common normal و فى عند ال common tangent الان
+
+9
+00:00:39,440 --> 00:00:45,110
+النقطة Cممكن تدرس باعتبارها مرة على الجسم الأول و
+
+10
+00:00:45,110 --> 00:00:48,810
+مرة على الجسم التاني إذا درست النقطة C باعتبارها
+
+11
+00:00:48,810 --> 00:00:53,490
+على الجسم الأول هتكون VC واحد VC واحد هتكون تساوي
+
+12
+00:00:53,490 --> 00:01:01,150
+O واحد C في Omega واحد وإذا درست النقطة C
+
+13
+00:01:01,150 --> 00:01:04,950
+باعتبارها على الجسم التاني هتكون VC اتنين بسوء
+
+14
+00:01:04,950 --> 00:01:12,170
+Omega اتنين بسوء Omega اتنين في O اتنين Cالان ال
+
+15
+00:01:12,170 --> 00:01:16,350
+VC1 بتعمل
+
+16
+00:01:16,350 --> 00:01:21,010
+زاوية Alpha مع ال Common Normal و VC2 بتعمل زاوية
+
+17
+00:01:21,010 --> 00:01:27,790
+Beta مع ال Common Tangent الان مراكبة ال VC1
+
+18
+00:01:27,790 --> 00:01:30,830
+باتجاه
+
+19
+00:01:30,830 --> 00:01:36,610
+ال Common Normal عبارة عن VC1 Cos Alphaومركبة ال
+
+20
+00:01:36,610 --> 00:01:41,630
+Vc2 باتجاه ال common normal بالسواء Vc2 Cos Beta
+
+21
+00:01:41,630 --> 00:01:48,170
+الآن مركبة ال Vc1 باتجاه ال common normal ممكن
+
+22
+00:01:48,170 --> 00:01:54,480
+تكون تساويالاحتمالات بتاعتها تكون تساوي او اكبر او
+
+23
+00:01:54,480 --> 00:02:00,180
+اقل من مركبة ال Vc2 في اتجاه ال common normal ناخد
+
+24
+00:02:00,180 --> 00:02:06,060
+الحالات التلاتة لو كانت ال Vc1 طبعا اذكر ان ال two
+
+25
+00:02:06,060 --> 00:02:10,160
+bodies are rigid bodies لو كانت مركبة ال Vc1 اللي
+
+26
+00:02:10,160 --> 00:02:16,600
+هي V .. لو كان Vc1 Cos Alpha أكبر من Vc2 Cos Beta
+
+27
+00:02:16,600 --> 00:02:20,120
+هينغرز الجسم الأولاني في الجسم التاني وهذا مستحيل
+
+28
+00:02:22,050 --> 00:02:27,050
+حالة التانية أن يكون مركبة ال VC1 في اتجاه ال
+
+29
+00:02:27,050 --> 00:02:31,110
+common normal أقل من مركبة ال VC2 في اتجاه ال
+
+30
+00:02:31,110 --> 00:02:35,550
+common normal يعني VC1 cos α تكون أصغر من VC2 cos
+
+31
+00:02:35,550 --> 00:02:40,150
+β في الحالة هذه we lose contact حينفصل الجسمين عن
+
+32
+00:02:40,150 --> 00:02:43,900
+بعضمعناته .. برضه هذه الحالة ماتصلطش .. معناته
+
+33
+00:02:43,900 --> 00:02:48,960
+عشان أستمر بحالة التلامس الجسماني دائما يبقى في
+
+34
+00:02:48,960 --> 00:02:53,840
+حالة تلامس لازم مراكبة ال VC1 بتجاه ال common
+
+35
+00:02:53,840 --> 00:02:57,240
+normal تستوى مراكبة ال VC2 بتجاه ال common normal
+
+36
+00:02:57,240 --> 00:03:08,090
+يعني VC1 cos α لازم تستوى VC2 cos βالان VC1 احنا
+
+37
+00:03:08,090 --> 00:03:13,510
+حكينا خلينا نعمل عمودي من O1 على ال corner O1 اما
+
+38
+00:03:13,510 --> 00:03:16,930
+هذا عمودي ع ال common normal و عمودي من نقطة O2
+
+39
+00:03:16,930 --> 00:03:20,870
+على ال corner O2N معناة O2N عمودي ع ال common
+
+40
+00:03:20,870 --> 00:03:28,460
+normal اذا بتركز كويس هتلاحظ ان زاوية Alphaالفا
+
+41
+00:03:28,460 --> 00:03:36,980
+بتساوي الزاوية MO1C والزاوية بيتا بتساوي ال .. ال
+
+42
+00:03:36,980 --> 00:03:42,800
+.. ال .. الزاوية اللي هو NO2C
+
+43
+00:03:42,800 --> 00:03:49,900
+معناته هذه الزاوية بيتا طيب معناته هتصير عندي احنا
+
+44
+00:03:49,900 --> 00:03:57,470
+حكينا VC1VC1 cos α بيساوة VC2 cos β والـ VC1
+
+45
+00:03:57,470 --> 00:04:01,310
+بيساوة Omega 1 O1C والـ VC2 بيساوة Omega 2 O2C
+
+46
+00:04:01,310 --> 00:04:07,970
+والـ cos α بيساوة O1M على O1C والـ cos β O2N على
+
+47
+00:04:07,970 --> 00:04:13,070
+O2Cبنعود في المعادلة هذه VC1 لـ Omega 1 في O1C
+
+48
+00:04:13,070 --> 00:04:21,330
+كوسين ألف O1M على O1C و في VC2 اللي هو Omega 2 OC2
+
+49
+00:04:21,330 --> 00:04:28,050
+في O2N على O2C بنختصر O1C مع O1C و O2C مع O2C
+
+50
+00:04:28,050 --> 00:04:34,330
+بيصفر عندي Omega 1 في O1M يعني أحسن عندي Omega 1
+
+51
+00:04:34,330 --> 00:04:49,000
+على Omega 2بالساوية O to N على O واحد M لان اذا
+
+52
+00:04:49,000 --> 00:04:55,700
+باخد المتلثين المتلثين نرجع للشكل المتلثين اللي هو
+
+53
+00:04:55,700 --> 00:05:00,540
+O واحد M
+
+54
+00:05:00,540 --> 00:05:05,740
+C و O to N
+
+55
+00:05:09,740 --> 00:05:20,540
+C هكون عند او واحد M على او اتنين N لأ انا بدي اخد
+
+56
+00:05:20,540 --> 00:05:27,300
+المثلثين مش هدوه المثلثين خد نمسح هاخد
+
+57
+00:05:27,300 --> 00:05:30,720
+انا هوصل او واحد هوصل او واحد مع او اتنين بتقطع في
+
+58
+00:05:30,720 --> 00:05:43,400
+P هاخد المثلثين او واحد M Pو O2N
+
+59
+00:05:43,400 --> 00:05:48,560
+P هاندي
+
+60
+00:05:48,560 --> 00:06:09,670
+O1M P و O2N P هكوندي O1M O1M على O2N بالساويةO1P
+
+61
+00:06:09,670 --> 00:06:18,910
+على O2P يعني هسينا عندي Omega 1 على Omega 2
+
+62
+00:06:18,910 --> 00:06:25,190
+بالساوية O2P
+
+63
+00:06:25,190 --> 00:06:31,450
+على O1P معناته
+
+64
+00:06:31,450 --> 00:06:37,580
+ال law of gearingعشان تكون Omega 1 على Omega 2
+
+65
+00:06:37,580 --> 00:06:42,880
+ثابتة عشان تكون ثابتة
+
+66
+00:06:43,530 --> 00:06:49,610
+لازتكون ال ratio O2P على O1P ثابتة مع العلم P هي
+
+67
+00:06:49,610 --> 00:06:56,010
+نقطة تقاطع الخط الواصل بين مركز دوران O1 و مركز
+
+68
+00:06:56,010 --> 00:06:59,610
+دوران O2 و ال common node at the point of contact
+
+69
+00:06:59,610 --> 00:07:02,510
+هذا يعني برضه عشان تكون امجد واحد و امجد اتنين
+
+70
+00:07:02,510 --> 00:07:07,670
+ثابتين ان النقطة P تكون fixed النقطة P هتبسميها ال
+
+71
+00:07:07,670 --> 00:07:12,170
+pitch point النقطة P تكون fixed بسميها ال pitch
+
+72
+00:07:12,170 --> 00:07:17,290
+pointالان ال Velocity of sliding ال Velocity of
+
+73
+00:07:17,290 --> 00:07:22,030
+sliding along ال common tangent عندي ال .. ال ..
+
+74
+00:07:22,030 --> 00:07:32,190
+ال .. ال Vs هتكون .. هتكون VC1 Sin Alpha VC1 Sin
+
+75
+00:07:32,190 --> 00:07:40,370
+Alpha minus VC2 Sin Beta
+
+76
+00:07:46,220 --> 00:07:51,860
+طبعا احنا حكينا sin α يعني هيكون VC1 اللي هي omega
+
+77
+00:07:51,860 --> 00:08:05,220
+1 في O1C في sin α .. sin α اللي هي هتكون .. sin α
+
+78
+00:08:05,220 --> 00:08:11,320
+اللي هي هتكون MC على
+
+79
+00:08:11,320 --> 00:08:14,100
+O1C minus
+
+80
+00:08:15,790 --> 00:08:23,350
+VC2 وهي Omega 2 في O2C في Sine Beta من الطلاب من
+
+81
+00:08:23,350 --> 00:08:31,650
+الشكل Sine Beta بيستوي NC على
+
+82
+00:08:31,650 --> 00:08:39,530
+O2C يعني هنختصر O1C مع O1C O2C مع O2C بيصف في
+
+83
+00:08:39,530 --> 00:08:41,790
+Omega 1MC
+
+84
+00:08:42,890 --> 00:08:50,850
+مينوس أميجا اتنين NC هيتساوي اللحظة MC ممكن
+
+85
+00:08:50,850 --> 00:08:57,350
+نعتبرها عبارة عن two segments الان
+
+86
+00:08:57,350 --> 00:09:01,110
+ال
+
+87
+00:09:01,110 --> 00:09:04,810
+MC ال
+
+88
+00:09:04,810 --> 00:09:09,710
+V sliding بتساوي
+
+89
+00:09:11,090 --> 00:09:19,870
+اميجا واحد MC مينوس اوميجا اتنين في NC حتى تستوى
+
+90
+00:09:19,870 --> 00:09:25,190
+اوميجا واحد ال MC اتطلعوا على الشكل ال MC بيستوى
+
+91
+00:09:25,190 --> 00:09:36,410
+MP زائد PC MP زائد PC مينوس اوميجا اتنين ال NCالـ
+
+92
+00:09:36,410 --> 00:09:48,450
+NC عبارة عن NP minus ال NC ال NP minus ال NC يعني
+
+93
+00:09:48,450 --> 00:09:58,990
+هتكون Omega 1 في ال NP minus Omega 2 في ال NP زائد
+
+94
+00:09:58,990 --> 00:10:02,110
+PC
+
+95
+00:10:02,110 --> 00:10:03,790
+مشترك
+
+96
+00:10:05,560 --> 00:10:17,040
+أنا غلطان هنا دي ال N P minus ال P C minus
+
+97
+00:10:17,040 --> 00:10:25,720
+ال P C P C في Omega واحد زاد Omega اتنين لحظ وانت
+
+98
+00:10:25,720 --> 00:10:32,220
+شايف المثلثات O واحد M P و O اتنين M P بيكون عندى
+
+99
+00:10:32,220 --> 00:10:40,070
+اللى هوأمجا واحد على أمجا اتنين بالساوية أمجا واحد
+
+100
+00:10:40,070 --> 00:10:44,370
+على أمجا اتنين بالساوية اتنين على ا ا واحد ام على
+
+101
+00:10:44,370 --> 00:10:47,670
+ا اتنين ان بالساوية ا واحد بي على ا اتنين بي
+
+102
+00:10:47,670 --> 00:10:57,710
+بالساوية ام بي على ان بي معناته هذا هيكون الساوية
+
+103
+00:10:57,710 --> 00:11:07,660
+ان بي على ام بي معناته عند امجا واحدن بي بيساوي
+
+104
+00:11:07,660 --> 00:11:12,980
+omega 2 ن بي معناته هدول أشمالهم ال two terms
+
+105
+00:11:12,980 --> 00:11:17,540
+بيروحوا مع بعض معناته ال sliding velocity vs هتكون
+
+106
+00:11:17,540 --> 00:11:31,580
+pc في omega 1 زائد omega 2 معناته
+
+107
+00:11:31,580 --> 00:11:36,040
+ال sliding velocityسرعة النزلات بين الـ two bodies
+
+108
+00:11:36,040 --> 00:11:40,720
+at the point of contact بتعتمد على بعد ال pitch
+
+109
+00:11:40,720 --> 00:11:44,600
+point على ال contact point إذا كانت ال pitch point
+
+110
+00:11:44,600 --> 00:11:48,960
+مطابقة مع ال contact point بيكونش عندى sliding، no
+
+111
+00:11:48,960 --> 00:11:53,040
+sliding فكل ما بيدت نقطة ال pitch point على ال
+
+112
+00:11:53,040 --> 00:11:55,740
+contact point كل ما زاد ال sliding between the two
+
+113
+00:11:55,740 --> 00:11:56,020
+bodies
+
+114
+00:12:02,940 --> 00:12:07,160
+ليه هذه العلاقة؟ vs بيستخدم omega 1 زي omega 2 في
+
+115
+00:12:07,160 --> 00:12:17,480
+Pc الآن
+
+116
+00:12:17,480 --> 00:12:26,290
+شكل السن ممكن يكون أي شكلطالما انه يحقق ال law of
+
+117
+00:12:26,290 --> 00:12:30,570
+gearing اللي ذكرناها سابقا شكل السن ال profile
+
+118
+00:12:30,570 --> 00:12:36,270
+بتاع السن ممكن يكون اي شكل طالما انه بيحقق ال law
+
+119
+00:12:36,270 --> 00:12:40,950
+of gearing احنا هندرس اللي هو حالة خاصة اللي هي
+
+120
+00:12:40,950 --> 00:12:46,320
+الاكتر شيوعا اللي هي ال invalid teeth forminvolute
+
+121
+00:12:46,320 --> 00:12:51,360
+of a circle ان انا بكون يعني بكون عندي دائرة دائرة
+
+122
+00:12:51,360 --> 00:12:57,180
+بسميها ال base circle بكون لافف حواليها حبل بكون
+
+123
+00:12:57,180 --> 00:13:02,360
+لافف حواليها حبل بكون في قلم في طرف الحبل بكون
+
+124
+00:13:02,360 --> 00:13:06,400
+ارفع الحبل و هو مجدود برفع الحبل و هو مجدود يعني
+
+125
+00:13:06,400 --> 00:13:09,020
+انا طالع عندي هذه النقطة و هذه النقطة انا بدأت
+
+126
+00:13:09,020 --> 00:13:15,350
+بدأت من النقطة من نقطة معينةبكون أبدأ أرفع الحبل و
+
+127
+00:13:15,350 --> 00:13:20,190
+أرسم بحصل على شكل معين بسميه ال value أو بحط مصطرة
+
+128
+00:13:20,190 --> 00:13:23,350
+.. مصطرة بتكون tangent مثلا تانجنت بحط قلم على
+
+129
+00:13:23,350 --> 00:13:27,050
+طرفها بتضلها بخلي أدهرجها على .. على الدائرة
+
+130
+00:13:27,050 --> 00:13:30,370
+بدهرجها على الدائرة و هي الدهرج بتكون ترسم له شكل
+
+131
+00:13:30,370 --> 00:13:34,570
+معينالشكل هذا بسميه involute يعني إما أكون عندي
+
+132
+00:13:34,570 --> 00:13:39,910
+خيط مشدود حوالي دائرة و بطرف القلم ببدأ أرخي while
+
+133
+00:13:39,910 --> 00:13:43,750
+.. while .. ببدأ أرخي و أنا الحبل مشدود و مماس
+
+134
+00:13:43,750 --> 00:13:47,730
+للدائرة و أرسم يعني زي أنا بدأت من النقطة هذه بدأت
+
+135
+00:13:47,730 --> 00:13:52,780
+أرخي أرخي أرخيو أرسم يعني عندي هذه الحبل كان في
+
+136
+00:13:52,780 --> 00:13:57,820
+اللحظة هذه كان بدأت من هنا من الصفر بدأت أرخي هذه
+
+137
+00:13:57,820 --> 00:14:00,500
+وصلت نقطة بي واحد بدأت أرخ أكتر و أنا ماشي في
+
+138
+00:14:00,500 --> 00:14:04,240
+القلم بأرسم وصلت نقطة بي اتنين بدأت أرخي و أنا
+
+139
+00:14:04,240 --> 00:14:08,060
+شادد وصلت نقطة بي تلاتة بي أربع بي خمسة الآن
+
+140
+00:14:08,060 --> 00:14:13,660
+التتبع هذا هذا ال curve بسميه involute of a circle
+
+141
+00:14:20,710 --> 00:14:27,430
+انبين عندى هين ترسين هذا ال pressure line هذا الخط
+
+142
+00:14:27,430 --> 00:14:32,750
+اللى هو خط الدفع خط الدفع اللى اصنع ان ده هو ال
+
+143
+00:14:32,750 --> 00:14:36,510
+driver بدفع along this line هذا بسمع الشمال ال
+
+144
+00:14:36,510 --> 00:14:38,550
+driver و هذا ال driven
+
+145
+00:14:42,930 --> 00:14:46,170
+أزاى ما انتوا شايفين نرجع للجيومتري للإسنان، أنا
+
+146
+00:14:46,170 --> 00:14:49,310
+عندى الدائرة الخارجى، هذا طبعا ال driver بسميه
+
+147
+00:14:49,310 --> 00:14:52,630
+penion و ال driven بسميه gear يعني ال penion and
+
+148
+00:14:52,630 --> 00:14:55,570
+gear يعني ال driver هو ال penion عادة، عادة ال
+
+149
+00:14:55,570 --> 00:14:59,910
+penion بيكون حجمه أصغر من حجم ال gear هذه ال .. ال
+
+150
+00:14:59,910 --> 00:15:03,270
+.. ال .. ال .. ال outside diameter او ال .. او ال
+
+151
+00:15:03,270 --> 00:15:08,360
+addendum circle لل .. لل penion هذهال outside
+
+152
+00:15:08,360 --> 00:15:13,300
+diameter او ال addendum circle للجير هذه ال root
+
+153
+00:15:13,300 --> 00:15:18,680
+circle او ال addendum circle لل panion هذه ال root
+
+154
+00:15:18,680 --> 00:15:25,820
+circle او ال addendum circle للجيرهذه هو ال base
+
+155
+00:15:25,820 --> 00:15:28,660
+circle هي ال circle from which we generate ال
+
+156
+00:15:28,660 --> 00:15:31,980
+involute ال circle اللي ولدنا منها اللي هو شكل ال
+
+157
+00:15:31,980 --> 00:15:36,580
+involute هذا line of action خط عمل الدفع line of
+
+158
+00:15:36,580 --> 00:15:41,740
+action وهذه الزاوية بسميها ال pressure angle تقاطع
+
+159
+00:15:41,740 --> 00:15:47,260
+الخط الواصف بين مركز ال pinion ومركز الجير مع الخط
+
+160
+00:15:47,260 --> 00:15:51,700
+اللي عند ال pitch point بسميها نقطة ال pitch point
+
+161
+00:15:51,700 --> 00:15:53,080
+طبعا
+
+162
+00:15:56,200 --> 00:16:01,240
+هذا ال radius لل base circle هذا ال radius لل
+
+163
+00:16:01,240 --> 00:16:05,220
+pitch circle هذا ال radius لل outside diameter
+
+164
+00:16:08,440 --> 00:16:11,660
+اللاحظوا في عندى .. طلعوا هنا في فراغ بين ال
+
+165
+00:16:11,660 --> 00:16:14,920
+opinion في .. يعني في .. بيكونش .. يعني نازل الاخر
+
+166
+00:16:14,920 --> 00:16:19,480
+بسميه ال clearance ال clearance ال working depth
+
+167
+00:16:19,480 --> 00:16:25,820
+هو مجموع ال addendum ال
+
+168
+00:16:25,820 --> 00:16:30,340
+total depth اللي هو مجموع ال .. ال .. ال .. هذا هو
+
+169
+00:16:30,340 --> 00:16:33,910
+ال working depth هذا هو ال working depthال total
+
+170
+00:16:33,910 --> 00:16:37,770
+depth هو عمق السن الكل من ال route .. من ال route
+
+171
+00:16:37,770 --> 00:16:42,450
+لل .. لل outside diameter ال total depth اللي احنا
+
+172
+00:16:42,450 --> 00:16:45,970
+عاوز نحنا بيساوي اللي هو ال addendum زاد addendum
+
+173
+00:16:45,970 --> 00:16:49,590
+ال working depth هو مجموع ال addendum لل pinion
+
+174
+00:16:49,590 --> 00:16:55,630
+زاد ال addendum لل .. لل .. لل gearطبعا هذا ال
+
+175
+00:16:55,630 --> 00:17:00,250
+base radius للجير، هذا ال pitch radius للجير، هذا
+
+176
+00:17:00,250 --> 00:17:06,030
+ال outside radius للجير، هذا يسمى ال top land، هذا
+
+177
+00:17:06,030 --> 00:17:09,710
+ال involute profile، و في عندى بتكون هنا و هنا في
+
+178
+00:17:09,710 --> 00:17:14,330
+زى دوران خفيف يسمى ال fillet، ال fillet بتكون
+
+179
+00:17:14,330 --> 00:17:17,470
+عاملة اللى هي دوران بين ال root circle أو ال
+
+180
+00:17:17,470 --> 00:17:22,140
+tandem circle و ال involute profileهذا الكلام
+
+181
+00:17:22,140 --> 00:17:30,520
+حاكيناه بس انا حابعيده عشان انرسخ المعلومة الان
+
+182
+00:17:30,520 --> 00:17:37,140
+انا عندى ترسين ترس مركز دورانه O1 they are in mesh
+
+183
+00:17:37,140 --> 00:17:41,500
+و الترس التاني ال driven اللي هو الجير مركز دورانه
+
+184
+00:17:41,500 --> 00:17:46,560
+O2 الخط الواصل بين A1 و A2 بسميه ال center
+
+185
+00:17:46,560 --> 00:17:50,920
+distanceالنقطة الطبيعية الآن هذا ال base circle
+
+186
+00:17:50,920 --> 00:17:55,040
+هذا ال base circle لل driver هذا ال base circle لل
+
+187
+00:17:55,040 --> 00:17:58,500
+driven الخط ال tangent between the two base
+
+188
+00:17:58,500 --> 00:18:04,100
+circles بسميه line of action الزاوية هذا بسميها ال
+
+189
+00:18:04,100 --> 00:18:08,760
+pressure angle زاوية الضغط الآن ال force اللي
+
+190
+00:18:08,760 --> 00:18:15,800
+بتأثر بين الأسنان اللي صار تعشيق بينهم اللي هي F
+
+191
+00:18:16,480 --> 00:18:21,460
+الها مركبتين واحدة بتجاه F tangential واحدة بتجاه
+
+192
+00:18:21,460 --> 00:18:25,280
+ال vertical F radial يعني ال total force اللي هي
+
+193
+00:18:25,280 --> 00:18:27,100
+بتأثر بتجاه line of action اللي هي متأثر بتجاه
+
+194
+00:18:27,100 --> 00:18:27,740
+line of action اللي هي متأثر بتجاه line of action
+
+195
+00:18:27,740 --> 00:18:28,660
+اللي هي متأثر بتجاه line of action اللي هي متأثر
+
+196
+00:18:28,660 --> 00:18:29,000
+بتجاه line of action اللي هي متأثر بتجاه line of
+
+197
+00:18:29,000 --> 00:18:29,020
+action اللي هي متأثر بتجاه line of action اللي هي
+
+198
+00:18:29,020 --> 00:18:29,020
+متأثر بتجاه line of action اللي هي متأثر بتجاه
+
+199
+00:18:29,020 --> 00:18:29,020
+line of action اللي هي متأثر بتجاه line of action
+
+200
+00:18:29,020 --> 00:18:29,020
+اللي هي متأثر بتجاه line of action اللي هي متأثر
+
+201
+00:18:29,020 --> 00:18:29,020
+بتجاه line of action اللي هي متأثر بتجاه line of
+
+202
+00:18:29,020 --> 00:18:30,960
+action اللي هي متأثر بتجاه line of action اللي هي
+
+203
+00:18:30,960 --> 00:18:33,860
+متأثر بتجاه line of action اللي هي متأثر بتجاه
+
+204
+00:18:33,860 --> 00:18:41,310
+line of action اللالـ torque العزم .. العزم هيكون
+
+205
+00:18:41,310 --> 00:18:44,970
+يساوي ال tangential force في نصف القطر F
+
+206
+00:18:44,970 --> 00:18:48,690
+tangential في نصف القطر F tangential بيساوي F
+
+207
+00:18:48,690 --> 00:19:00,410
+cosine في و F radial بيساوي F sin في طيب
+
+208
+00:19:00,410 --> 00:19:06,370
+ال systems of gear teeth أنظمت الأسنان في الاتروس
+
+209
+00:19:07,410 --> 00:19:11,010
+احنا هندرس الآن في ال course هذا four systems of
+
+210
+00:19:11,010 --> 00:19:13,750
+gear teeth are in common practice في اللي هو اللي
+
+211
+00:19:13,750 --> 00:19:18,130
+في الممارسة الهندسية العملية في عندي أربع أنظم
+
+212
+00:19:18,130 --> 00:19:21,430
+الأسنان للأسنان في عندي الأربع تاشر و نص composite
+
+213
+00:19:21,430 --> 00:19:24,130
+system أربع تاشر و نص دي جديد لما بيحكي أربع تاشر
+
+214
+00:19:24,130 --> 00:19:26,690
+و نص يعني بيحكي على pressure angle Phi في عندي
+
+215
+00:19:26,690 --> 00:19:30,780
+أربع تاشر و نص full depth involute systemفي عندي
+
+216
+00:19:30,780 --> 00:19:34,120
+عشرين ديجري fold depth in the system وفي عشرين
+
+217
+00:19:34,120 --> 00:19:37,520
+ديجري stop involute in the system stop involute
+
+218
+00:19:37,520 --> 00:19:42,160
+يعني السن بيكون قصير سن الترس بيكون قصير ال
+
+219
+00:19:42,160 --> 00:19:46,560
+pressure أنا جاله عشرين الجدول اللي مبين أمامي
+
+220
+00:19:46,560 --> 00:19:49,880
+مبين اللي هو أنظمة اللي هي أربعاش و نص composite
+
+221
+00:19:49,880 --> 00:19:54,000
+or fold depth والعشرين ديجري fold depth والعشرين
+
+222
+00:19:54,000 --> 00:19:58,650
+ديجري stopأمارجيني قيم الـ addendum و ال dedendum
+
+223
+00:19:58,650 --> 00:20:01,430
+و ال working depth و ال minimum total depth و ال
+
+224
+00:20:01,430 --> 00:20:03,590
+tooth thickness و ال minimum clearance و ال fillet
+
+225
+00:20:03,590 --> 00:20:07,590
+radius at the root as a function of module يعني في
+
+226
+00:20:07,590 --> 00:20:10,670
+حالة في حالة اربع تاشر و نص composite or full
+
+227
+00:20:10,670 --> 00:20:15,270
+depth tooth ال addendum بيساو واحد في الموديول ال
+
+228
+00:20:15,270 --> 00:20:18,250
+dedendum بيساو واحد و ربع في الموديول ال working
+
+229
+00:20:18,250 --> 00:20:23,040
+depthبساوي اللي هي اتنين في الموديول ال total
+
+230
+00:20:23,040 --> 00:20:24,620
+depth اللي هو عبارة عن ال addendum زي
+
+231
+00:20:24,620 --> 00:20:44,680
+اددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددددد
+
+232
+00:21:07,360 --> 00:21:13,800
+نقرأ السؤال a single reduction gear of 120
+
+233
+00:21:13,800 --> 00:21:19,220
+kilowatt ال power عندي يعني ال power بيستوى مية و
+
+234
+00:21:19,220 --> 00:21:23,880
+عشرين كيلو وات with
+
+235
+00:21:23,880 --> 00:21:27,480
+a pinion ال pinion بتاع ميتين و خمسين ميلي متر
+
+236
+00:21:27,480 --> 00:21:33,660
+pitch circle diameter هاي ال pinion وهاي
+
+237
+00:21:33,660 --> 00:21:34,080
+ال gear
+
+238
+00:21:39,770 --> 00:21:46,330
+هداش الـ gear ال
+
+239
+00:21:46,330 --> 00:21:53,370
+pitch circle دي متر لل pinion دي لل pinion بساوة
+
+240
+00:21:53,370 --> 00:21:57,710
+متين و خمسين ملي متر قطر ال pitch circle لل pinion
+
+241
+00:21:57,710 --> 00:22:05,470
+متين و خمسين ملي متر وال speed بتاعة ال pinion ال
+
+242
+00:22:05,470 --> 00:22:05,750
+N
+
+243
+00:22:09,020 --> 00:22:16,340
+ست مية و خمسين ر بي ام ست مية و خمسين ر بي ام ال
+
+244
+00:22:16,340 --> 00:22:24,460
+support on bearings on either side calculate the
+
+245
+00:22:24,460 --> 00:22:29,680
+total load due to the power it transmitted الان
+
+246
+00:22:29,680 --> 00:22:33,880
+طبعا هكون عندي هاي ال total load
+
+247
+00:22:37,640 --> 00:22:45,520
+F و هدا هتكون ال pressure angle فيه هكون لها
+
+248
+00:22:45,520 --> 00:22:56,060
+مركبتين F tangential و F radial ال F tangential
+
+249
+00:22:56,060 --> 00:22:59,960
+بستوى
+
+250
+00:22:59,960 --> 00:23:04,960
+F cosine فيه
+
+251
+00:23:07,110 --> 00:23:11,430
+الـ Phi معطنية هو بمناسبة الـ Phi بالسواء عشرين
+
+252
+00:23:11,430 --> 00:23:16,470
+درجة ال
+
+253
+00:23:16,470 --> 00:23:20,610
+.. ال .. ال torque بالسواء
+
+254
+00:23:20,610 --> 00:23:27,550
+F tangential في ال radius و
+
+255
+00:23:27,550 --> 00:23:32,530
+ال power بالسواء ال torque في Omega
+
+256
+00:23:36,180 --> 00:23:41,200
+انعوض يعني ال power يعني ال torque هيكون الساوى ال
+
+257
+00:23:41,200 --> 00:23:47,200
+power عندى مية و عشرين في الف على أميجا أميجا
+
+258
+00:23:47,200 --> 00:23:51,420
+خليني أحسبه على جنب يعني أميجا بالساوية ستمية و
+
+259
+00:23:51,420 --> 00:23:55,440
+خمسين بدي أحوال ال radius per second في اتنين باي
+
+260
+00:23:55,440 --> 00:23:57,180
+على ستين
+
+261
+00:24:26,870 --> 00:24:32,350
+وبتطلع تمانية و ستين point
+
+262
+00:24:32,350 --> 00:24:39,910
+O تلاتة radians per second هي دي ال Omega يعني انا
+
+263
+00:24:39,910 --> 00:24:45,330
+هقسم هنا على تمانية و ستين point O تلاتة يعني ال
+
+264
+00:24:45,330 --> 00:24:49,250
+torque هيطلع مية و عشرين
+
+265
+00:24:55,920 --> 00:24:59,740
+فى الف تقسيم
+
+266
+00:24:59,740 --> 00:25:08,360
+تماية و ستين point او تلاتة بتطلع الف و سبعمية و
+
+267
+00:25:08,360 --> 00:25:14,260
+اربعة و ستين نيوتن متر حكينا
+
+268
+00:25:14,260 --> 00:25:18,780
+ال torque بالساوية F tangential فى R
+
+269
+00:25:24,990 --> 00:25:28,690
+هى عن ال F10 Gen Shell هتكون تستوى ال torque على
+
+270
+00:25:28,690 --> 00:25:33,870
+ال radius ال torque اللى هو 1764 ال radius أنا
+
+271
+00:25:33,870 --> 00:25:36,850
+عندى القطر المعطنى 250معناه ال radius بيها 25 على
+
+272
+00:25:36,850 --> 00:25:44,910
+point 1 2 5 تقسيم
+
+273
+00:25:44,910 --> 00:25:49,170
+تطلع
+
+274
+00:25:49,170 --> 00:25:51,310
+1400 14000
+
+275
+00:25:54,760 --> 00:26:00,300
+فى نيوتن الـ
+
+276
+00:26:00,300 --> 00:26:07,620
+FT هادى بالثواب ف كوصين الفاى معناته ال F هتكون
+
+277
+00:26:07,620 --> 00:26:11,940
+تستوى FT على كوصين الفاى اللى هى اربعتاشر الف ومية
+
+278
+00:26:11,940 --> 00:26:15,560
+واحداش على كوصين العشرين
+
+279
+00:26:39,830 --> 00:26:45,970
+بتطلع خمستاشر ألف و سبعتاشر خمستاشر ألف و سبعتاشر
+
+280
+00:26:45,970 --> 00:26:49,610
+نيوتن معناته ال total load اللي هو F بالساوية
+
+281
+00:26:49,610 --> 00:26:53,790
+خمستاشر ألف و سبعتاشر نيوتن يعني حوالي خمستاشر
+
+282
+00:26:53,790 --> 00:26:57,410
+كيلو نيوتن هيك يكون أنهينا المحاضرة الأولى في مادة
+
+283
+00:26:57,410 --> 00:27:00,870
+نظرية الألات المرة الجاية بنكمل في المحاضرة
+
+284
+00:27:00,870 --> 00:27:02,070
+التانية اعطيكوا العفو
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/a4OTCjqIibU.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/a4OTCjqIibU.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e0a32c8d2d4ba673e0d8b65f4e85ea1d07f46b19
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/a4OTCjqIibU.srt
@@ -0,0 +1,2181 @@
+1
+00:00:04,890 --> 00:00:07,990
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,990 --> 00:00:12,110
+وبركاته اليوم هنبدأ محاضرة جديدة في مادة نظرية
+
+3
+00:00:12,110 --> 00:00:17,650
+القلاد، الموضوع هو استخدام الأرقام المركبة complex
+
+4
+00:00:17,650 --> 00:00:21,310
+numbers في تحليل القلاد، يعني complex
+
+5
+00:00:21,310 --> 00:00:23,350
+number analysis of mechanisms
+
+6
+00:00:39,230 --> 00:00:49,770
+of mechanisms خلّينا
+
+7
+00:00:49,770 --> 00:00:56,070
+نعمل مراجعة سريعة لل complex numbers في نظام
+
+8
+00:00:56,070 --> 00:01:03,650
+الإحداثيات الديكارتية. لو أخدنا في 2D بيكون عندي
+
+9
+00:01:03,650 --> 00:01:11,170
+المحورين X وY. لو عندي نقطة، هنانقطة إحداثياتها
+
+10
+00:01:11,170 --> 00:01:17,050
+هتكون X و
+
+11
+00:01:17,050 --> 00:01:23,070
+Y، يعني نقطة معرفة بإحداثيين: إحداثي X و إحداثي Y.
+
+12
+00:01:23,070 --> 00:01:28,290
+هذا اللي هو Cartesian Coordinates. لأن في حالة
+
+13
+00:01:28,290 --> 00:01:33,170
+Complex Numbers، بيكون نظام الإحداثيات و
+
+14
+00:01:33,170 --> 00:01:40,570
+imaginary، يعني يقابلوا الـ X هنا أو real
+
+15
+00:01:40,570 --> 00:01:52,390
+هنا real يقابلوا الـ Y. أي نقطة تتعرف
+
+16
+00:01:52,390 --> 00:01:56,410
+بإحداثيين، اللي
+
+17
+00:01:56,410 --> 00:01:59,690
+هو الإحداثي الحقيقي، الـ real اللي هي في الـ X،
+
+18
+00:01:59,690 --> 00:02:05,010
+والإحداثي التخيلي في الاتجاه
+
+19
+00:02:07,560 --> 00:02:15,660
+اللي هو imaginary، Y. هذه نقطة point الآن.
+
+20
+00:02:15,660 --> 00:02:25,460
+ممكن أحكي أن أعرف النقطة هذه من خلال الـ vector R،
+
+21
+00:02:25,460 --> 00:02:33,400
+والزاوية هذه θ، tan θ
+
+22
+00:02:36,750 --> 00:02:42,850
+هتساوي الـ Y على الـ X، أو بتساوي الـ imaginary part
+
+23
+00:02:42,850 --> 00:02:53,050
+للإحداثيات على الـ real part للإحداثيات، اللي
+
+24
+00:02:53,050 --> 00:02:57,890
+أنا ممكن أعرف في الـ position، الـ vector ما هو كنقطة
+
+25
+00:02:57,890 --> 00:03:02,010
+R كإحداثي
+
+26
+00:03:02,010 --> 00:03:17,520
+X باتجاه الـ real زائد J زائد Y باتجاه الـ J، JY يعني
+
+27
+00:03:17,520 --> 00:03:25,380
+عندي real part وعندي
+
+28
+00:03:25,380 --> 00:03:33,060
+imaginary part، في جزء حقيقي وجزء تخيلي.
+
+29
+00:03:34,800 --> 00:03:46,960
+اللي هنلاحظه، الـ X بيساوي R Cos θ، والـ Y
+
+30
+00:03:46,960 --> 00:03:52,860
+بيساوي R Sin θ. المعنى اللي هتكون أعبر على
+
+31
+00:03:52,860 --> 00:04:02,360
+الـ R كـ vector، هتكون الـ X R Cos θ زائد،خدم ده
+
+32
+00:04:02,360 --> 00:04:04,380
+استخدم الـ I هنا بدل الـ J.
+
+33
+00:04:07,250 --> 00:04:17,110
+زائد I R، اللي هي R sin θ. يمكن أخذ R عامل مشترك،
+
+34
+00:04:17,110 --> 00:04:29,790
+يكون عندي cos θ زائد I sin θ. هذه طريقة للتعبير عن
+
+35
+00:04:29,790 --> 00:04:35,550
+الـ R position vector للنقطة P. طريقة ثانية ممكن
+
+36
+00:04:35,550 --> 00:04:42,590
+أحكي R كـ vector بيساوي قيمة الـ vector R exponential،
+
+37
+00:04:42,590 --> 00:04:51,290
+E to the power I θ. طبعًا
+
+38
+00:04:51,290 --> 00:04:56,210
+الـ E<sup>Iθ</sup> احنا عارفين أن الـ E<sup>Iθ</sup> فيها two
+
+39
+00:04:56,210 --> 00:05:02,150
+parts، واحدة بتساوي الـ cosine θ، واحدة بتساوي
+
+40
+00:05:02,150 --> 00:05:05,390
+الـ imaginary sin θ.
+
+41
+00:05:10,230 --> 00:05:12,390
+هذا المفروض يكونوا عارفينه في المدرسة، يعني هذا
+
+42
+00:05:12,390 --> 00:05:16,570
+مراجعة أو في الـ calculus، مراجعة الـ complex numbers.
+
+43
+00:05:16,570 --> 00:05:22,530
+احنا هنستخدم هذه الـ concepts عشان ندرس اللي هو
+
+44
+00:05:22,530 --> 00:05:28,550
+displacement، نحكي using the
+
+45
+00:05:28,550 --> 00:05:33,750
+concept of
+
+46
+00:05:33,750 --> 00:05:37,830
+complex numbers
+
+47
+00:05:41,770 --> 00:05:46,690
+to make position
+
+48
+00:05:46,690 --> 00:05:53,150
+to make position, velocity
+
+49
+00:05:53,150 --> 00:05:57,290
+and
+
+50
+00:05:57,290 --> 00:06:00,350
+acceleration
+
+51
+00:06:00,350 --> 00:06:04,690
+analysis.
+
+52
+00:06:11,520 --> 00:06:19,500
+هنأخذ مثال، هنأخذ مثال الـ four-bar linkage.
+
+53
+00:06:19,500 --> 00:06:25,280
+ناخذ الـ four-bar mechanism، خلّيني
+
+54
+00:06:25,280 --> 00:06:36,160
+أرسم الـ four-bar mechanism. الـ
+
+55
+00:06:36,160 --> 00:06:38,400
+four-bar mechanism هيكون عندك crank،
+
+56
+00:06:45,940 --> 00:06:53,840
+وعندي connecting rod، وعندي
+
+57
+00:06:53,840 --> 00:07:02,000
+follower، القضيب.
+
+58
+00:07:02,000 --> 00:07:09,280
+هسميها link رقم واحد، والـ crank link رقم اثنين، الـ
+
+59
+00:07:09,280 --> 00:07:13,940
+connecting rod link رقم ثلاثة، والـ follower link
+
+60
+00:07:13,940 --> 00:07:14,880
+رقم أربعة.
+
+61
+00:07:21,520 --> 00:07:26,720
+الآن، الـ link اثنين جاية بين نقطة واحد ونقطة
+
+62
+00:07:26,720 --> 00:07:36,960
+بالنقطة، خلينا نقرأ أساميها دي: a، b، c، d. link رقم
+
+63
+00:07:36,960 --> 00:07:44,100
+اثنين جاية بين نقطة a ونقطة b. الآن،
+
+64
+00:07:44,100 --> 00:07:47,480
+هعرف link اثنين as a vector، vector
+
+65
+00:07:57,390 --> 00:08:09,010
+أسميها R2، و link ثلاثة as a vector R3،
+
+66
+00:08:09,010 --> 00:08:18,850
+و link أربعة as a vector R4،
+
+67
+00:08:18,850 --> 00:08:29,650
+و link واحد بين A و D as a vector من D لـ A أو من A
+
+68
+00:08:29,650 --> 00:08:40,890
+لـ D، سميتها
+
+69
+00:08:40,890 --> 00:08:44,870
+R1، for
+
+70
+00:08:44,870 --> 00:08:45,750
+each link.
+
+71
+00:09:02,210 --> 00:09:12,210
+define a local coordinate system،
+
+72
+00:09:12,210 --> 00:09:17,170
+يعني
+
+73
+00:09:17,170 --> 00:09:21,590
+عند link 2 هيكون عندي ايه؟ هاي x، x و y.
+
+74
+00:09:26,020 --> 00:09:30,620
+وبتعمل R2 مع الـ X axis في اتجاه عكس على
+
+75
+00:09:30,620 --> 00:09:38,160
+الخارج، الساعية، الزاوية الـ θ2 بالنسبة
+
+76
+00:09:38,160 --> 00:09:44,620
+للـ X<sub>small</sub> و Y<sub>small</sub>. ممكن أعرف R2، R2 كـ vector
+
+77
+00:09:44,620 --> 00:09:53,460
+بيساوي R2 E<sup>Iθ2</sup>.
+
+78
+00:09:56,780 --> 00:10:01,320
+الآن، R ثلاثة، برضه هعرف لها local coordinate system،
+
+79
+00:10:01,320 --> 00:10:04,880
+هاي
+
+80
+00:10:04,880 --> 00:10:16,540
+X وهاي Y، لأن R ثلاثة هتزاويها θ
+
+81
+00:10:16,540 --> 00:10:26,180
+ثلاثة. R ثلاثة، الـ position vector، R ثلاثة هتساوي
+
+82
+00:10:27,560 --> 00:10:33,560
+R ثلاثة كـ مقياس في الـ exponential لـ E<sup>Iθ3</sup>.
+
+83
+00:10:33,560 --> 00:10:41,620
+طبعًا أنا بلف بعكس عقارب الساعة. الآن، link أربعة، هعرف
+
+84
+00:10:41,620 --> 00:10:46,920
+إحداثيات، هاي
+
+85
+00:10:46,920 --> 00:10:53,300
+X<sub>small</sub> وهاي Y<sub>small</sub>، لأن همشي بعكس عقارب الساعة.
+
+86
+00:10:56,600 --> 00:11:07,560
+هذا هتكون θ أربعة، هتكون
+
+87
+00:11:07,560 --> 00:11:15,660
+دي R أربعة كـ vector، بس قيمته R أربعة في
+
+88
+00:11:15,660 --> 00:11:18,880
+E<sup>Iθ4</sup>.
+
+89
+00:11:23,760 --> 00:11:29,800
+ونفس الشيء عندي هاي R واحد، و R واحد بتساوي R واحد
+
+90
+00:11:29,800 --> 00:11:41,100
+E<sup>Iθ1</sup>. إلى
+
+91
+00:11:41,100 --> 00:11:44,620
+اللحظة عندي، عندي، عندي هاي vector R اثنين، R
+
+92
+00:11:44,620 --> 00:11:47,720
+ثلاثة، R أربعة، ماشيين
+
+93
+00:11:49,360 --> 00:11:59,860
+clockwise. عندي R اثنين، R ثلاثة، and R أربعة
+
+94
+00:11:59,860 --> 00:12:06,260
+are moving
+
+95
+00:12:06,260 --> 00:12:10,460
+or rotating clockwise.
+
+96
+00:12:10,460 --> 00:12:14,500
+يعني هاي clockwise، يعني ماشي أنا ماشي من اثنين
+
+97
+00:12:14,500 --> 00:12:19,580
+لأربعة clockwise. الـ vector اللي بيسكر الـ polygon
+
+98
+00:12:19,580 --> 00:12:26,940
+اللي هو R1، معناته R1 هو المحصلة، معناته R1 كـ vector
+
+99
+00:12:26,940 --> 00:12:38,120
+بيساوي R2 زائد R3 زائد R4 كـ vector. الآن نعود عن
+
+100
+00:12:38,120 --> 00:12:51,370
+R1، R1 عبارة عن R1 E<sup>Iθ1</sup> بيساوي R2 E<sup>Iθ2</sup>
+
+101
+00:12:51,370 --> 00:12:57,030
+وR3 عبارة عن R ثلاثة، اللحظة، وأنا لما بأحكي vector
+
+102
+00:12:57,030 --> 00:13:03,810
+بكون حاطط شرطة أعلى الـ letter، إذا ما فيش شرطة بأحكي
+
+103
+00:13:03,810 --> 00:13:12,950
+عن scalar، زائد R ثلاثة E<sup>Iθ3</sup> زائد R أربعة E<sup>I</sup>
+
+104
+00:13:12,950 --> 00:13:14,130
+<sup>θ4</sup>.
+
+105
+00:13:18,510 --> 00:13:23,770
+مع العلم، نحكي θ واحد أفقية، θ واحد أفقية،
+
+106
+00:13:23,770 --> 00:13:25,750
+أفقية، أفقية، θ واحد أفقية، θ واحد أفقية، θ
+
+107
+00:13:25,750 --> 00:13:29,670
+واحد أفقية، θ واحد أفقية، θ
+
+108
+00:13:29,670 --> 00:13:31,910
+واحد أفقية، θ واحد أفقية، θ واحد أفقية، θ
+
+109
+00:13:31,910 --> 00:13:32,490
+واحد أفقية، θ واحد أفقية، θ واحد أفقية، θ
+
+110
+00:13:32,490 --> 00:13:32,770
+واحد أفقية، θ واحد أفقية، θ واحد أفقية، θ
+
+111
+00:13:32,770 --> 00:13:38,210
+واحد أفقية، θ واحد أفقية، θ واحد أفقية، θ
+
+112
+00:13:38,210 --> 00:13:43,710
+واحد أفقية، θ
+
+113
+00:13:43,710 --> 00:13:56,200
+واحد أفقية، θ واحد بتساوي R اثنين في cosine
+
+114
+00:13:56,200 --> 00:14:09,720
+θ اثنين زائد I sine θ اثنين زائد R ثلاثة في الـ
+
+115
+00:14:09,720 --> 00:14:15,870
+E<sup>Iθ3</sup>، لها real part، cosine θ ثلاثة زائد
+
+116
+00:14:15,870 --> 00:14:27,830
+I sine θ ثلاثة زائد R أربعة فيه عندي E<sup>Iθ4</sup>
+
+117
+00:14:27,830 --> 00:14:33,090
+أربعة، لها مركبتين، واحدة real اللي هي cosine θ
+
+118
+00:14:33,090 --> 00:14:38,670
+أربعة زائد I sine θ أربعة.
+
+119
+00:14:50,310 --> 00:14:53,830
+لأن الطرف الأيسر يساوي الطرف الأيمن، عشان الطرف
+
+120
+00:14:53,830 --> 00:14:57,610
+الأيسر يساوي الطرف الأيمن، لازم الـ real part of the
+
+121
+00:14:57,610 --> 00:15:01,110
+left hand لازم يساوي الـ real part of the right
+
+122
+00:15:01,110 --> 00:15:04,890
+hand، والـ imaginary part of the left hand لازم
+
+123
+00:15:04,890 --> 00:15:09,950
+يساوي الـ imaginary part للـ left hand. يعني الـ real
+
+124
+00:15:09,950 --> 00:15:16,810
+part هيكون
+
+125
+00:15:16,810 --> 00:15:32,430
+دي cosine θ واحد بتساوي R1 Cos θ1 بتساوي R2 Cos
+
+126
+00:15:32,430 --> 00:15:46,890
+θ2 زائد R3 Cos θ3 زائد R4 Cos θ4.
+
+127
+00:15:55,360 --> 00:16:07,120
+الـ imaginary part، جزء التخيلي، هيكون R1 Sine θ
+
+128
+00:16:07,120 --> 00:16:24,430
+واحد بتساوي R2 Sine θ اثنين زائد R3 Sine θ ثلاثة زائد R4
+
+129
+00:16:24,430 --> 00:16:32,470
+Sine θ أربعة. هذه معادلة اثنين. احنا عارفين θ
+
+130
+00:16:32,470 --> 00:16:36,230
+واحد بيساوي صفر، معناته، و Sine θ واحد هتساوي
+
+131
+00:16:36,230 --> 00:16:39,950
+واحد، و Sine θ واحد هتساوي صفر. المعادلة واحد
+
+132
+00:16:39,950 --> 00:16:42,550
+اثنين بيصير بالشكل التالي:
+
+133
+00:16:46,830 --> 00:16:53,370
+لما أحط θ1 صفر، هصير عندي R1 بتساوي
+
+134
+00:16:53,370 --> 00:17:10,570
+R2 Cos θ2 زائد R3 Cos θ3 زائد R4 Cos θ4. هذه معادلة
+
+135
+00:17:10,570 --> 00:17:13,570
+واحدة. المعادلة اثنين اللي حكيته هنا، θ واحد
+
+136
+00:17:13,570 --> 00:17:16,890
+بيساوي صفر، معناته ساين θ واحد بيساوي صفر، معناته
+
+137
+00:17:16,890 --> 00:17:22,210
+الصفر هيكون صفر.
+
+138
+00:17:22,210 --> 00:17:30,870
+هتكون تساوي R اثنين ساين θ اثنين زائد R ثلاثة
+
+139
+00:17:30,870 --> 00:17:41,320
+ساين θ ثلاثة زائد R أربعة ساين θ أربعة. هذه
+
+140
+00:17:41,320 --> 00:17:49,800
+معادلة رقم اثنين. لاحظوا
+
+141
+00:17:49,800 --> 00:17:55,420
+في حالة زي هذه، الـ input بيكون عند الـ link، عادة الـ
+
+142
+00:17:55,420 --> 00:17:59,560
+input بيكون عند الـ link اثنين، معناته أنا بكون عارف
+
+143
+00:17:59,560 --> 00:18:07,880
+الزاوية اللي بتتحركها، وبكون عارف السرعة بتاعتها، يعني
+
+144
+00:18:07,880 --> 00:18:09,220
+أنت بأحكي given
+
+145
+00:18:15,290 --> 00:18:25,410
+الـ dimensions of the lengths، يعني R2 و R3 و R4 و
+
+146
+00:18:25,410 --> 00:18:33,010
+R1 و θ2، then
+
+147
+00:18:33,010 --> 00:18:37,270
+بدي
+
+148
+00:18:37,270 --> 00:18:44,650
+أحل، أحسب الزاوية θ3 و θ4، solve for
+
+149
+00:18:46,740 --> 00:19:04,080
+θ ثلاثة and θ أربعة. يعني
+
+150
+00:19:04,080 --> 00:19:10,760
+لو أخدت المعادلة
+
+151
+00:19:10,760 --> 00:19:21,590
+واحدة، وعدّلت الترتيب، حكيت، روحت جبت الـ R4 Cos θ4 على
+
+152
+00:19:21,590 --> 00:19:38,170
+جهة، يعني هتلاقي دي R4 Cos θ4 هتساوي R1 - R2 Cos
+
+153
+00:19:38,170 --> 00:19:53,250
+θ2 - R ثلاثة Cos θ ثلاثة. هذه معادلة واحد. وحكيت
+
+154
+00:19:53,250 --> 00:20:04,890
+R أربعة Sin θ أربعة بتساوي ناقص، أو خلينا نحكي الـ
+
+155
+00:20:04,890 --> 00:20:05,330
+general، minus
+
+156
+00:20:08,210 --> 00:20:18,770
+R4 Sine θ أربعة بيساوي R2 Sine θ اثنين زائد
+
+157
+00:20:18,770 --> 00:20:30,670
+R3 Sine θ ثلاثة. خلينا نسميها دلوقت ثلاثة، وهذه
+
+158
+00:20:30,670 --> 00:20:34,350
+أربعة، الآن.
+
+159
+00:20:34,350 --> 00:20:39,430
+أنا هرّبع معادلة ثلاثة، وهرّبع المعادلة أربعة، وبعدين
+
+160
+00:20:39,430 --> 00:20:46,090
+أجمعهم مع بعض، يعني square equation
+
+161
+00:20:46,090 --> 00:20:58,950
+ثلاثة and أربعة then add. هتلاقي التربيع، المعادلة يعني
+
+162
+00:20:58,950 --> 00:21:02,950
+اللي هندمج معاها، معايصر، أو أيبن معايبين، هيكون R4
+
+163
+00:21:04,000 --> 00:21:13,760
+تربيع cos θ أربعة تربيع زائد R أربعة تربيع sin θ أربعة
+
+164
+00:21:13,760 --> 00:21:21,240
+تربيع، هيكون
+
+165
+00:21:21,240 --> 00:21:25,380
+عندها، خلّيني
+
+166
+00:21:25,380 --> 00:21:35,430
+أربع المعادلة هذه: R1 - R1R2 - R1R2
+
+167
+00:21:35,430 --> 00:21:48,410
+-R3R2 -R3R2 -R3R2 -R3R2 -R3R2 -R3R2
+
+168
+00:21:48,410 --> 00:21:49,350
+-R3R2 -R3R2 -R3R2 -R3R2 -R3R2 -R3R2 -R3R2 -R2R2 -R2R2 -R2R2
+
+169
+00:21:49,350 --> 00:21:50,270
+-R2R2 -R2R2 -R2R2 -R2R2 -R2R2 -R2R2 -R2R2 -R2R2 -R2R2 -R2R2
+
+170
+00:21:50,270 --> 00:21:58,270
+-R2R2 -R2R2 -R2R2 -R2R2 -R2R2 -R2R2 -R
+
+171
+00:22:15,950 --> 00:22:28,650
+-R1R3cosθ3، بعدين minus R1R2cosθ2،
+
+172
+00:22:35,820 --> 00:22:49,280
+زائد R2 Cos θ2 زائد
+
+173
+00:22:49,280 --> 00:23:01,960
+R2 R3 Cos θ3 minus R1 R3
+
+174
+00:23:01,960 --> 00:23:04,300
+Cos θ3.
+
+175
+00:23:08,350 --> 00:23:16,330
+-r2r3 minus أو زائد r2r3
+
+176
+00:23:16,330 --> 00:23:24,410
+cos θ3 cos θ2. بس لحظة، خليني أتأكد، أول شيء عندي r1
+
+177
+00:23:24,410 --> 00:23:31,470
+تربيع minus r1r2 cos θ2 minus r1r3 cos θ3 minus
+
+178
+00:23:31,470 --> 00:23:34,710
+r1r2
+
+179
+00:23:34,710 --> 00:23:45,870
+cos θ2 زائد R2 تربيع cos تربيع θ اثنين زائد R2 R3
+
+180
+00:23:45,870 --> 00:23:51,730
+cos θ ثلاثة cos
+
+223
+00:29:13,630 --> 00:29:13,730
+دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي
+
+224
+00:29:13,730 --> 00:29:18,110
+دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي
+
+225
+00:29:18,110 --> 00:29:18,150
+دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي
+
+226
+00:29:32,950 --> 00:29:37,270
+بنحل طبعاً معادلة non-linear بنحل بالنسبة ل ..
+
+227
+00:29:37,270 --> 00:29:43,450
+لثيتا ثلاثة solve solve
+
+228
+00:29:43,450 --> 00:29:49,770
+solve خمسة
+
+229
+00:29:49,770 --> 00:29:59,490
+for ثيتا ثلاثة بعد أن حل خمسة for ثيتا ثلاثة بنعود
+
+230
+00:29:59,490 --> 00:30:11,860
+في معادلة وبعدين substitute about
+
+231
+00:30:11,860 --> 00:30:15,120
+theta
+
+232
+00:30:15,120 --> 00:30:21,340
+ثلاثة in أربعة
+
+233
+00:30:21,340 --> 00:30:35,460
+then solve for theta أربعة، معناته احنا بمعرفتنا
+
+234
+00:30:35,460 --> 00:30:43,680
+لأطوار الـ link R1 وR2 وR3 وR4 بمعرفتنا حركة الـ
+
+235
+00:30:43,680 --> 00:30:48,680
+link 2 يعني عارفين الـ theta 2 استطعنا نحسب اللي هو
+
+236
+00:30:48,680 --> 00:30:54,700
+الـ theta 3 والـ theta 4، وعشان احل الـ theta 3 والـ
+
+237
+00:30:54,700 --> 00:30:58,380
+theta 4 فعندي معادلتين المجهولين، المجهولين هما الـ
+
+238
+00:30:58,380 --> 00:31:05,790
+theta 3وثيتا أربعة، ثيتا ثلاثة وثيتا أربعة، بحل
+
+239
+00:31:05,790 --> 00:31:10,030
+المعادلتين هدول بحصل ثيتا ثلاثة وثيتا أربعة، so far
+
+240
+00:31:10,030 --> 00:31:14,830
+I define اللي هو displacement and rotation so far
+
+241
+00:31:14,830 --> 00:31:21,230
+so far we
+
+242
+00:31:21,230 --> 00:31:25,150
+solve for
+
+243
+00:31:25,150 --> 00:31:28,030
+displacement
+
+244
+00:31:33,850 --> 00:31:39,190
+and rotation of
+
+245
+00:31:39,190 --> 00:31:48,150
+the lengths يعني
+
+246
+00:31:48,150 --> 00:31:57,250
+أنا مطلوب أن احل بعد هيك الـ velocity علشان احل الـ
+
+247
+00:31:57,250 --> 00:32:00,130
+velocity، خلينا نمسح
+
+248
+00:32:07,740 --> 00:32:13,080
+الآن هعمل velocity analysis
+
+249
+00:32:13,080 --> 00:32:23,300
+الآن
+
+250
+00:32:23,300 --> 00:32:28,960
+velocity analysis
+
+251
+00:32:28,960 --> 00:32:30,520
+تحليل سرعات
+
+252
+00:32:35,170 --> 00:32:40,850
+عشان احل سرعات باشتق المعادلة واحد واتنين بالنسبة
+
+253
+00:32:40,850 --> 00:32:50,350
+للزمن، differentiate one
+
+254
+00:32:50,350 --> 00:33:00,390
+and two with respect to time، بالنسبة للزمن، لما
+
+255
+00:33:00,390 --> 00:33:04,090
+اشتق الـ R واحد constant، مش تقرا إيش هيكون صفر
+
+256
+00:33:06,610 --> 00:33:19,270
+هتكون هنا عندي R2 هتكون -R2 في sin θ2 في dθ2
+
+257
+00:33:19,270 --> 00:33:29,110
+by dt، مشتقة الكساين ومشتقة اللي جوا، -R3 sin
+
+258
+00:33:29,110 --> 00:33:35,510
+θ3 في dθ3 by dt
+
+259
+00:33:38,200 --> 00:33:49,520
+-r4 sin θ4 dθ4 by dt، هذه المعادلة رقم واحد، اشتقاق
+
+260
+00:33:49,520 --> 00:34:02,300
+المعادلة التالية، صفر هتساوي r2 cos θ2 dθ2 by dt
+
+261
+00:34:02,300 --> 00:34:24,440
+زائد r3 cos θ3 dθ3 by dt زائد R4 في cos θ4 dθ4 by dt
+
+262
+00:34:32,610 --> 00:34:36,930
+الآن اللي هو dθ وdθ هي معدل تغير الزاوية
+
+263
+00:34:36,930 --> 00:34:43,190
+بالنسبة للزمن وتمثل سرعة زاوية، dθ
+
+264
+00:34:43,190 --> 00:34:46,350
+أو دعوني أقول أوميجا اثنين اللي هي السرعة الزاوية
+
+265
+00:34:46,350 --> 00:34:52,270
+للـ link اثنين اللي هي dθ اثنين by dt أو أوميجا
+
+266
+00:34:52,270 --> 00:35:01,310
+ثلاثة  بساوي dθ ثلاثة by dt، أوميجا أربعة بساوي d
+
+267
+00:35:01,310 --> 00:35:08,610
+ثيتا أربعة by dt، طيب
+
+268
+00:35:08,610 --> 00:35:16,750
+معناته خلينا نرتب المعادلة هذه، هتصير صفر بتساوي
+
+269
+00:35:16,750 --> 00:35:25,490
+ونشيل الـ minus هتصير R اثنين أوميجا اثنين sin ثيتا
+
+270
+00:35:25,490 --> 00:35:39,040
+اثنين زائد R ثلاثة أوميجا ثلاثة sin theta ثلاثة زائد
+
+271
+00:35:39,040 --> 00:35:43,900
+R أربعة أوميجا
+
+272
+00:35:43,900 --> 00:35:51,320
+أربعة sin theta أربعة، المعادلة الثانية هتكون صفر
+
+273
+00:35:51,320 --> 00:36:02,310
+بساوي R اثنين أوميجا اثنين cos θ ثلاثة زائد R ثلاثة
+
+274
+00:36:02,310 --> 00:36:14,310
+أوميجا ثلاثة cos θ ثلاثة زائد R أربعة أوميجا أربعة
+
+275
+00:36:14,310 --> 00:36:16,890
+cos θ أربعة
+
+276
+00:36:31,050 --> 00:36:35,930
+خليني أجيب الـ .. أجيب
+
+277
+00:36:35,930 --> 00:36:41,390
+الـ R4 أوميجا 4 sin ثيتا 4 على الجهة اليسار هصف
+
+278
+00:36:41,390 --> 00:36:45,390
+عندي هنا minus
+
+279
+00:36:45,390 --> 00:36:56,010
+R4 أوميجا 4 sin ثيتا 4 بتساوي
+
+280
+00:36:56,010 --> 00:37:05,800
+R2أوميجا اثنين sin ثيتا اثنين زائد R ثلاثة أوميجا
+
+281
+00:37:05,800 --> 00:37:12,740
+ثلاثة sin ثيتا ثلاثة، و
+
+282
+00:37:12,740 --> 00:37:16,280
+هجيب برضه الـ R أربعة وأوميجا أربعة على جهة اليسار
+
+283
+00:37:16,280 --> 00:37:21,900
+بيصير -R أربعة أوميجا أربعة cos ثيتا
+
+284
+00:37:21,900 --> 00:37:29,860
+أربعة بتساوي R اثنين أوميجا اثنين cos ثيتا اثنين
+
+285
+00:37:29,860 --> 00:37:44,980
+زائد R ثلاثة أوميجا ثلاثة cos ثيتا ثلاثة، خلصناها
+
+286
+00:37:44,980 --> 00:37:50,900
+هذه المعادلة معادلة رقم ستة، هذه المعادلة رقم سبعة
+
+287
+00:37:50,900 --> 00:37:54,120
+لاحظوا
+
+288
+00:38:01,400 --> 00:38:07,500
+أنا so far الزوايا حسبتهم، θ ثلاثة و θ أربعة محسبين
+
+289
+00:38:07,500 --> 00:38:15,540
+وأطوال الـ links R2 وR3 وR4 معروفين وحركة الـ
+
+290
+00:38:15,540 --> 00:38:22,400
+link two معروفة يعني omega two is known يعني بدي
+
+291
+00:38:22,400 --> 00:38:28,800
+أحكي الـ given R2
+
+292
+00:38:31,330 --> 00:38:40,970
+R3 وR4 و Omega 2، Already Theta 3 و Theta 4
+
+293
+00:38:40,970 --> 00:38:48,730
+Already Calculated، And Theta 3 و Theta 4 Already
+
+294
+00:38:48,730 --> 00:38:58,030
+Calculated، حسبناهم، Solve
+
+295
+00:39:02,010 --> 00:39:16,010
+ستة and سبعة for Omega ثلاثة and Omega أربعة، طبعاً
+
+296
+00:39:16,010 --> 00:39:25,570
+عشان احل المعادلة هذه ممكن
+
+297
+00:39:28,100 --> 00:39:34,660
+اقسم المعادلة 6 على المعادلة 7، يعني divide 6 over
+
+298
+00:39:34,660 --> 00:39:39,560
+7، divide
+
+299
+00:39:39,560 --> 00:39:45,080
+6
+
+300
+00:39:45,080 --> 00:39:48,100
+over 7
+
+301
+00:39:55,560 --> 00:40:03,860
+هذه طريقة بتروح الـ omega أربعة بتروح، أو طريقة
+
+302
+00:40:03,860 --> 00:40:14,200
+ثانية، أربع معادلة ستة مع معادلة سبعة، or
+
+303
+00:40:14,200 --> 00:40:19,260
+square
+
+304
+00:40:22,070 --> 00:40:39,170
+6 and 7 then add، بعدين اجمعهم، خليني
+
+305
+00:40:39,170 --> 00:40:43,610
+أربع، أحسن طريقة، أربع، يعني هذا هتصير R4 أوميجا 4
+
+306
+00:40:43,610 --> 00:40:49,570
+هتصير R4 تربيع أوميجا 4 تربيع
+
+307
+00:40:51,730 --> 00:41:05,650
+في sin تربيع ثيتا 4 زائد R4 أوميجا 4 cos تربيع
+
+308
+00:41:05,650 --> 00:41:17,390
+ثيتا 4 هتساوي، هربع الطرف هذا، هتكون R2 أوميجا 2
+
+309
+00:41:17,390 --> 00:41:18,410
+تربيع
+
+310
+00:41:20,830 --> 00:41:27,570
+sin تربيع ثيتا، sin تربيع ثيتا اثنين زائد R اثنين
+
+311
+00:41:27,570 --> 00:41:35,030
+تربيع أوميجا اثنين تربيع cos تربيع ثيتا اثنين زائد
+
+312
+00:41:35,030 --> 00:41:44,630
+R ثلاثة تربيع أوميجا ثلاثة تربيع sin تربيع ثيتا
+
+313
+00:41:44,630 --> 00:41:50,840
+ثلاثة زائد R ثلاثة تربيع أوميجا ثلاثة تربيع cos
+
+314
+00:41:50,840 --> 00:41:58,380
+تربيع ثيتا ثلاثة زائد
+
+315
+00:41:58,380 --> 00:42:02,820
+اثنين اثنين
+
+316
+00:42:02,820 --> 00:42:14,180
+R اثنين أوميجا اثنين أوميجا
+
+317
+00:42:14,180 --> 00:42:26,330
+اثنين R اثنين أوميجا اثنين R ثلاثة أوميجا ثلاثة sin
+
+318
+00:42:26,330 --> 00:42:39,130
+ثيتا اثنين sin ثيتا اثنين sin ثيتا ثلاثة زائد اثنين
+
+319
+00:42:39,130 --> 00:42:43,490
+R اثنين أوميجا اثنين R ثلاثة أوميجا ثلاثة
+
+320
+00:42:45,740 --> 00:42:55,920
+cos θ2 cos θ3، خلينا نبسط هذا الـ term الأولاني
+
+321
+00:42:55,920 --> 00:43:00,340
+هيكون خطوة مشتركة R4 أوميجا 4 تربيع، زائد يعني هذا
+
+322
+00:43:00,340 --> 00:43:09,760
+هيكون هذا، هيسير R4 تربيع أوميجا 4 تربيع، هيساوي هدول
+
+323
+00:43:09,760 --> 00:43:10,960
+الـ two terms مع بعض
+
+324
+00:43:16,300 --> 00:43:19,000
+لأن sin تربيع زائد cos تربيع واحد، هتكون بساوي R
+
+325
+00:43:19,000 --> 00:43:27,900
+اثنين تربيع أوميجا اثنين تربيع، هقول التنين مع بعض زائد
+
+326
+00:43:27,900 --> 00:43:38,120
+R ثلاثة تربيع أوميجا ثلاثة تربيع، زائد بدي آخذ عامل
+
+327
+00:43:38,120 --> 00:43:42,540
+مشترك، R اثنين أوميجا اثنين
+
+328
+00:43:45,260 --> 00:43:52,880
+R ثلاثة أوميجا ثلاثة في cos
+
+329
+00:43:52,880 --> 00:44:04,500
+θ اثنين cos θ ثلاثة زائد sin θ اثنين sin θ ثلاثة
+
+330
+00:44:16,280 --> 00:44:21,260
+احنا .. لاحظوا، في عندنا خطأ هنا اكتشفناه، إذا بالربع
+
+331
+00:44:21,260 --> 00:44:25,000
+بتضلّ أوميجا تربيع ما حلتش، معناته هذا .. بدي أحكي
+
+332
+00:44:25,000 --> 00:44:32,420
+عنه، هذا، هذا this
+
+333
+00:44:32,420 --> 00:44:43,420
+method، this method will not work، ليش؟
+
+334
+00:44:43,420 --> 00:44:49,260
+لأنه في، we have still، عندنا أوميجا ثلاثة وأوميجا أربعة موجود
+
+335
+00:44:49,260 --> 00:44:53,220
+في المعادلة، معناته أحسن شيء أن أقسم 6 على 7، لما
+
+336
+00:44:53,220 --> 00:45:00,340
+أقسم 6 على 7 بيصير عندي بتروح R4 مع R4، أوميجا 4 مع
+
+337
+00:45:00,340 --> 00:45:07,180
+أوميجا 4، بيصير عندي tan ثيتا 4، tan ثيتا
+
+338
+00:45:07,180 --> 00:45:12,220
+4 بتساوي R2
+
+339
+00:45:14,340 --> 00:45:23,260
+وأوميجا اثنين sin ثيتا اثنين زائد R ثلاثة أوميجا
+
+340
+00:45:23,260 --> 00:45:33,080
+ثلاثة sin ثيتا ثلاثة على R
+
+341
+00:45:33,080 --> 00:45:42,900
+اثنين أوميجا اثنين cos ثيتا اثنين زائد R ثلاثة
+
+342
+00:45:43,920 --> 00:45:56,400
+وأوميجا ثلاثة cos ثيتا ثلاثة، يطلع
+
+343
+00:45:56,400 --> 00:46:02,540
+في المعادلة، أنا عندي R اثنين وR ثلاثة وأوميجا
+
+344
+00:46:02,540 --> 00:46:06,820
+اثنين وأوميجا اثنين، يعني كلّه معروف، معادلة أوميجا
+
+345
+00:46:06,820 --> 00:46:14,580
+ثلاثة، خلينا نسمي هذه المعادلة رقم ثمانية، طبعاً هذه it
+
+346
+00:46:14,580 --> 00:46:19,440
+is nonlinear equation، معناته I will، I have to solve
+
+347
+00:46:19,440 --> 00:46:27,280
+it for omega ثلاثة، solve equation
+
+348
+00:46:27,280 --> 00:46:32,620
+ثمانية for
+
+349
+00:46:34,770 --> 00:46:39,910
+أوميجا ثلاثة، ممكن تستخدم اللي هو mathematical
+
+350
+00:46:39,910 --> 00:46:45,510
+software زي MATLAB أو MABEL أو Mathematica أو
+
+351
+00:46:45,510 --> 00:46:49,330
+MATCAD، يعني في برامج كثيرة لحل معادلات غير خطية
+
+352
+00:46:49,330 --> 00:46:53,250
+بالشكل هذا، طيب
+
+353
+00:46:53,250 --> 00:46:57,050
+so far، احنا عملنا اللي هو ما يسمى velocity
+
+354
+00:46:57,050 --> 00:47:02,890
+analysis، هنعمل acceleration analysis الآن، هنعمل
+
+355
+00:47:02,890 --> 00:47:03,730
+acceleration analysis
+
+356
+00:47:12,940 --> 00:47:19,080
+الآن صار معروف، أن لحد اللحظة صار معروف أن كل أطوال
+
+357
+00:47:19,080 --> 00:47:24,660
+الروابط معروفة، الـ motion بتاع link 2 معروفة، ثيتا
+
+358
+00:47:24,660 --> 00:47:29,460
+ثلاثة وثيتا أربعة حسبناها من الـ displacement analysis و
+
+359
+00:47:29,460 --> 00:47:35,060
+أوميجا ثلاثة وأوميجا أربعة حسبناها من الـ velocity analysis
+
+360
+00:47:35,060 --> 00:47:37,660
+نعمل acceleration analysis
+
+361
+00:47:52,220 --> 00:47:56,400
+analysis، نعمل acceleration analysis، هنطلع على
+
+362
+00:47:56,400 --> 00:48:03,680
+معادلة ستة، باشتقاق معادلة ستة وسبعة بالنسبة للزمن
+
+363
+00:48:03,680 --> 00:48:12,860
+differentiate equations
+
+364
+00:48:12,860 --> 00:48:29,380
+ستة وسبعة with respect to time، هاخد
+
+365
+00:48:29,380 --> 00:48:37,360
+ستة، هيكون عندي ناقص R أربعة فيه اللي أنا عندي هنا
+
+366
+00:48:37,360 --> 00:48:40,860
+two functions، أوميجا أربعة sin أربعة، مشتقة الأول
+
+367
+00:48:40,860 --> 00:48:45,400
+في الثانية اللي هي d أوميجا أربعة by dt
+
+368
+00:48:48,230 --> 00:48:51,110
+مشتقة الأوميجا، السرعة الزاوية بتعطينا عجل الزاوية
+
+369
+00:48:51,110 --> 00:48:55,910
+يعني هتكون دي
+
+370
+00:48:55,910 --> 00:49:05,150
+أوميجا أربعة by dt في cos
+
+371
+00:49:05,150 --> 00:49:13,770
+ثيتا أربعة زائد الأول مشتقة الثانية، أوميجا أربعة في
+
+372
+00:49:13,770 --> 00:49:26,490
+cos ثيتا أربعة dθ أربعة by dt بتساوي R
+
+373
+00:49:26,490 --> 00:49:30,890
+اثنين في
+
+374
+00:49:30,890 --> 00:49:49,210
+d أوميجا اثنين by dt sin θ2 زائد أوميجا 2 في cos θ2
+
+375
+00:49:49,210 --> 00:49:57,430
+في dθ2 by dt زائد
+
+376
+00:49:57,430 --> 00:50:02,790
+R3 في
+
+377
+00:50:02,790 --> 00:50:15,160
+d أوميجا ثلاثة by dt sin θ3 زائد
+
+378
+00:50:15,160 --> 00:50:29,190
+أوميجا ثلاثة زائد أوميجا ثلاثة cos θ3 d أوميجا ثلاثة dθ ثلاثة by dt، هذا
+
+379
+00:50:29,190 --> 00:50:34,070
+اشتقاق المعادلة هذه، اشتقاق المعادلة 6، اشتقاق
+
+380
+00:50:34,070 --> 00:50:40,250
+المعادلة 7، هيكون -R4
+
+381
+00:50:40,250 --> 00:50:48,850
+في مشتقة الـ أوميجا اللي هي d أوميجا 4 by dt زائد
+
+382
+00:50:48,850 --> 00:50:55,250
+أوميجا 4 مشتقة الـ cos اللي هي -أوميجا 4 sin
+
+383
+00:50:55,250 --> 00:51:08,590
+ثيتا 4 dθ أربعة by dt بتساوي R
+
+384
+00:51:08,590 --> 00:51:12,270
+اثنين في
+
+385
+00:51:12,270 --> 00:51:21,670
+d أوميجا اثنين by dt cos، أنا هنا غلطان
+
+386
+00:51:25,290 --> 00:51:34,510
+يعني دي cos ثيتا أربعة -أوميجا أربعة sin
+
+387
+00:51:34,510 --> 00:51:45,910
+ثيتا أربعة dثيتا أربعة by dt، يعني دي أوميجا اثنين
+
+388
+00:51:45,910 --> 00:51:54,210
+by dt في cos ثيتا اثنين -أوميجا اثنين في
+
+389
+00:51:54,210 --> 00:52:15,640
+sin θ2 في dθ2 by dt زائد R3 في dω3 by dt في cos θ3
+
+390
+00:52:15,640 --> 00:52:18,300
+-ω3
+
+391
+00:52:20,170 --> 00:52:33,970
+في sin θ ثلاثة في dθ ثلاثة by dt، هذا
+
+392
+00:52:33,970 --> 00:52:38,610
+اشتقاق معادلة ستة، هذا اشتقاق معادلة سبعة، الآن احنا بنعرف
+
+393
+00:52:38,610 --> 00:52:46,500
+انه عندنا اللي هو d أوميجا اثنين by dt
+
+394
+00:52:46,500 --> 00:52:53,020
+بتساوي ألفا اثنين، و d ثيتا اثنين by dt اللي هي
+
+395
+00:52:53,020 --> 00:52:59,840
+أوميجا اثنين، وعندي d أوميجا ثلاثة by dt اللي هي
+
+396
+00:52:59,840 --> 00:53:04,960
+ألفا ثلاثة، العجل الزاوي، و d ثيتا ثلاثة by dt
+
+397
+00:53:04,960 --> 00:53:12,360
+اللي هي أوميجا ثلاثة، و d أوميجا 4 by dt اللي هي
+
+398
+00:53:12,360 --> 00:53:25,000
+ألفا 4، و d ثيتا 4 by dt اللي هي أوميجا 4، نعوض
+
+399
+00:53:25,000 --> 00:53:35,180
+هنا، نبسط
+
+400
+00:53:35,180 --> 00:53:36,940
+هيكون -R 4
+
+401
+00:53:42,560 --> 00:53:56,760
+
+445
+00:59:16,800 --> 00:59:20,220
+solution جربوا حلّوها على الكمبيوتر، سيطلع أكثر من
+
+446
+00:59:20,220 --> 00:59:28,160
+solution لإنه عندي sine و cosine الـ .. الـ .. الـ
+
+447
+00:59:28,160 --> 00:59:30,600
+sine مثلاً بتكون موجبة في الربع الأول والربع
+
+448
+00:59:30,600 --> 00:59:34,080
+الثاني هي .. هي .. هي .. هي عندي حلين الـ sine
+
+449
+00:59:34,080 --> 00:59:38,960
+بتكون سالبة في الربع الثالث والرابع، الـ cosine
+
+450
+00:59:38,960 --> 00:59:43,680
+بتكون موجبة في الربع الأول والرابع، والرابع وبتكون
+
+451
+00:59:43,680 --> 00:59:50,120
+سالبة في الربع الثاني والثالث، الثاني
+
+452
+00:59:50,120 --> 00:59:54,140
+بتكون موجبة في الربع الأول والرابع، الثالث وسالبة
+
+453
+00:59:54,140 --> 00:59:56,660
+في الربع الثاني والرابع، الرابع
+
+454
+00:59:59,410 --> 01:00:03,710
+طيب، هذا هو الـ complex number analysis لو أنا بدي
+
+455
+01:00:03,710 --> 01:00:07,310
+أعمل .. يعني خليني أعمل كل startup لـ Slider Crank
+
+456
+01:00:07,310 --> 01:00:09,610
+Mechanism، نعملها complex number analysis بنفس
+
+457
+01:00:09,610 --> 01:00:11,530
+الطريقة .. همسح اللوح بس
+
+458
+01:00:46,420 --> 01:00:49,760
+اللي هو عندي slider crank mechanism، اللي هي بشكلها
+
+459
+01:00:49,760 --> 01:01:01,160
+بيجي عندي crank، عندي
+
+460
+01:01:01,160 --> 01:01:05,800
+connecting rod، عندي
+
+461
+01:01:05,800 --> 01:01:12,200
+slider، خلينا نسمي هذه A، B، C
+
+462
+01:01:14,850 --> 01:01:19,710
+الأرض link واحد، الـ
+
+463
+01:01:19,710 --> 01:01:26,670
+crank link اثنين، الـ connecting rod link رقم ثلاثة
+
+464
+01:01:26,670 --> 01:01:36,290
+الـ slider link رقم أربعة، إذن
+
+465
+01:01:36,290 --> 01:01:38,830
+بتدخل باستخدام الـ complex number analysis
+
+466
+01:01:42,070 --> 01:01:53,130
+بدي أعرف define الـ vector R2 هذا
+
+467
+01:01:53,130 --> 01:02:03,350
+الـ R2 وهي الـ local X تبعه، والـ Y هذا الزاوية θ
+
+468
+01:02:03,350 --> 01:02:08,730
+اثنين، والـ vector ثلاثة
+
+469
+01:02:14,390 --> 01:02:24,230
+هذا R ثلاثة، هاي الـ local X وهي الـ local Y، و
+
+470
+01:02:24,230 --> 01:02:32,730
+الـ angle θ ثلاثة، هذه الـ θ ثلاثة
+
+471
+01:02:32,730 --> 01:02:36,210
+المرة
+
+472
+01:02:36,210 --> 01:02:39,530
+أنا هضلّني ماشي لحد يعني، هذه رايحة هيك وهذه
+
+473
+01:02:39,530 --> 01:02:40,210
+هتكون إيش؟
+
+474
+01:02:47,600 --> 01:02:51,980
+هذه R1، لاحظوا
+
+475
+01:02:51,980 --> 01:02:57,640
+θ1 الآن مش صفر، لأن هاي الـ local X، هاي الـ
+
+476
+01:02:57,640 --> 01:03:02,800
+local X، هاي الـ local Y، θ واحد، هاي الـ θ واحد
+
+477
+01:03:02,800 --> 01:03:11,220
+الـ θ واحد إيش تساوي؟ 180 درجة، مش صفر، طيب
+
+478
+01:03:11,220 --> 01:03:15,740
+كـ vectors، وهيكون عندي R1
+
+479
+01:03:18,800 --> 01:03:30,040
+R2، زائد R3، زائد R1، بالثورة صفر، لأنه بتسكر الـ polygon
+
+480
+01:03:30,040 --> 01:03:38,780
+بتسكر باتجاه عقارب الساعة زي
+
+481
+01:03:38,780 --> 01:03:47,370
+السابق، R1 هتكون R1 exponential I θ1، وR اثنين
+
+482
+01:03:47,370 --> 01:03:53,030
+عبارة عن R اثنين exponential I θ اثنين، وR
+
+483
+01:03:53,030 --> 01:04:02,270
+ثلاثة، R ثلاثة exponential I θ ثلاثة
+
+484
+01:04:02,270 --> 01:04:05,610
+لحظة
+
+485
+01:04:05,610 --> 01:04:10,790
+هذه .. هذه .. هذه .. هذه R .. هذه عندك .. هذه مش R
+
+486
+01:04:10,790 --> 01:04:16,500
+واحد، هذه .. هذه R أربعة، هذه R أربعة، هيكون عنده يعني
+
+487
+01:04:16,500 --> 01:04:27,800
+مصحح، زائد R أربعة، هي R أربعة وهي R أربعة، يعني هيكون
+
+488
+01:04:27,800 --> 01:04:40,480
+عنده R اثنين exponential I θ اثنين، زائد R ثلاثة
+
+489
+01:04:40,480 --> 01:04:47,920
+exponential I θ ثلاثة، زائد R أربعة exponential I
+
+490
+01:04:47,920 --> 01:04:54,720
+θ أربعة، بيساوي صفر، يعني
+
+491
+01:04:54,720 --> 01:04:56,860
+هذا هيكون الـ real part وليس الـ general part، الـ
+
+492
+01:04:56,860 --> 01:05:06,720
+real part هيكون R اثنين cosine θ اثنين، زائد R
+
+493
+01:05:06,720 --> 01:05:14,620
+ثلاثة Cos θ ثلاثة، زائد R أربعة Cos θ أربعة، بيساوي
+
+494
+01:05:14,620 --> 01:05:18,440
+صفر، احنا
+
+495
+01:05:18,440 --> 01:05:21,620
+عارفين الـ θ أربعة، هذا الـ θ أربعة، مش θ وهات θ
+
+496
+01:05:21,620 --> 01:05:25,000
+أربعة، سمّيها، وأنتَ ما نعته cosine، هاي الـ cosine الـ
+
+497
+01:05:25,000 --> 01:05:27,320
+sine، الـ cosine، هاي الـ cosine
+
+498
+01:05:31,000 --> 01:05:38,180
+الـ cosine الـ 180 هي صفر، 90، 180، الـ cosine
+
+499
+01:05:38,180 --> 01:05:42,460
+الـ 180 بيساوي سالب واحد، يعني هيكون دي R
+
+500
+01:05:42,460 --> 01:05:50,180
+اثنين cosine θ اثنين، زائد R ثلاثة cosine
+
+501
+01:05:50,180 --> 01:05:57,740
+θ ثلاثة، minus R أربعة، بيساوي صفر
+
+502
+01:05:59,720 --> 01:06:10,000
+يعني أنا هقول إن دي R4 بيساوي R2 Cos θ2، زائد R3 Cos
+
+503
+01:06:10,000 --> 01:06:15,720
+θ3، هذا معادلة واحد، هذا الـ real، الـ imaginary
+
+504
+01:06:15,720 --> 01:06:19,500
+المعادلة
+
+505
+01:06:19,500 --> 01:06:32,700
+هذه هتكون R2 Sin θ2، زائد R3 Sin θ3، زائد R4 Sine θ
+
+506
+01:06:32,700 --> 01:06:37,440
+4، بيساوي صفر، هذا طبعاً ليش هيكون بيساوي صفر؟ لو
+
+507
+01:06:37,440 --> 01:06:40,380
+θ أربعة، و 180، الـ Sine 180
+
+508
+01:06:40,380 --> 01:06:49,220
+بيساوي صفر، معناته R2 Sine θ2، زائد R3 Sine
+
+509
+01:06:49,220 --> 01:06:53,720
+θ3، بيساوي صفر، هذه معادلة رقم 2
+
+510
+01:07:15,980 --> 01:07:19,460
+أنا هيكون معروف عندي الـ motion بتاعة الكرانك
+
+511
+01:07:19,460 --> 01:07:25,560
+بتكون معروفة، given R2
+
+512
+01:07:25,560 --> 01:07:38,500
+وأطوال الانكات، R3 أو θ2، find θ3
+
+513
+01:07:38,500 --> 01:07:42,560
+find
+
+514
+01:07:42,560 --> 01:07:50,210
+R4، ولأنه قيمة متغيرة، بيفتحوا ويضموا، و θ
+
+515
+01:07:50,210 --> 01:08:08,850
+ثلاثة، من معادلة اثنين، from two
+
+516
+01:08:08,850 --> 01:08:14,450
+الطريقة اللي بفضل أكتب المعادلات على نحو التالي، لسبب
+
+517
+01:08:16,440 --> 01:08:23,460
+لأنه هحكي R ثلاثة من واحد، من واحد، R ثلاثة، R ثلاثة
+
+518
+01:08:23,460 --> 01:08:29,120
+cosine θ ثلاثة، بتساوي
+
+519
+01:08:29,120 --> 01:08:39,300
+R أربعة، minus R اثنين cosine θ اثنين، من هذه R
+
+520
+01:08:39,300 --> 01:08:50,200
+ثلاثة، أو minus R ثلاثة sin θ ثلاثة، بيساوي R2
+
+521
+01:08:50,200 --> 01:08:56,160
+Sine θ2، و
+
+522
+01:08:56,160 --> 01:09:03,120
+Square
+
+523
+01:09:03,120 --> 01:09:07,840
+وأجمعهم، Square، و
+
+524
+01:09:07,840 --> 01:09:15,020
+Square، وأجمع، هتكون عندي R ثلاثة تربيع، R Cos تربيع
+
+525
+01:09:15,020 --> 01:09:22,680
+θ ثلاثة، زائد R ثلاثة تربيع Sin θ ثلاثة تربيع، هتساوي
+
+526
+01:09:22,680 --> 01:09:29,960
+R اثنين تربيع Cos تربيع θ اثنين، زائد R اثنين
+
+527
+01:09:29,960 --> 01:09:37,940
+تربيع Sin تربيع θ اثنين، زائد R أربعة تربيع
+
+528
+01:09:37,940 --> 01:09:43,240
+minus اثنين R اثنين
+
+529
+01:09:46,170 --> 01:09:57,230
+R4 Cos θ2، هذا سيصفي، هذا R3 تربيع Cos تربيع، زائد R3
+
+530
+01:09:57,230 --> 01:10:02,970
+تربيع Sin تربيع، R3 تربيع، سيصفي هذا R2 تربيع Cos
+
+531
+01:10:02,970 --> 01:10:10,970
+تربيع، زائد R2 تربيع Sin تربيع، عبارة عن R2 تربيع، R2
+
+532
+01:10:10,970 --> 01:10:11,570
+تربيع
+
+533
+01:10:14,380 --> 01:10:23,380
+زائد R أربعة تربيع، minus اثنين R اثنين R أربعة
+
+534
+01:10:23,380 --> 01:10:27,320
+cosine θ اثنين، خلّيني أرتّب المعادلة، هأسيب إن
+
+535
+01:10:27,320 --> 01:10:35,880
+عندي R أربعة تربيع، R أربعة تربيع ناقص اثنين R
+
+536
+01:10:35,880 --> 01:10:42,340
+اثنين R اثنين cosine θ اثنين
+
+537
+01:10:45,140 --> 01:10:46,440
+R4
+
+538
+01:10:51,620 --> 01:10:55,540
+يعني أخذت الـ term هذا والـ term هذا، زائد R اثنين
+
+539
+01:10:55,540 --> 01:11:02,320
+تربيع، minus R ثلاثة تربيع، بالثوابت صفر، يعني هذه
+
+540
+01:11:02,320 --> 01:11:09,620
+تقريباً على شكل صيغة المعادلة AX تربيع، زائد BX، زائد C
+
+541
+01:11:09,620 --> 01:11:12,940
+بالثوابت صفر، الـ root في المعادلة بتكون X، والثوابت minus
+
+542
+01:11:12,940 --> 01:11:18,340
+B، زائد أو ناقص الجذر التربيعي لـ B تربيع، minus 4AC
+
+543
+01:11:19,840 --> 01:11:25,460
+على اثنين A، يعني معناته الـ R أربعة، الـ R أربعة
+
+544
+01:11:25,460 --> 01:11:34,600
+هتساوي الـ B، minus B، هتكون اثنين R اثنين cosine
+
+545
+01:11:34,600 --> 01:11:41,400
+θ اثنين، زائد أو ناقص الجذر التربيعي لـ B تربيع
+
+546
+01:11:41,400 --> 01:11:50,530
+اللي هو أربعة R2 تربيع Cos تربيع θ اثنين، minus
+
+547
+01:11:50,530 --> 01:12:03,550
+أربعة A، أربعة في A في C، minus أربعة في R2 تربيع
+
+548
+01:12:03,550 --> 01:12:10,010
+minus R ثلاثة تربيع، على
+
+549
+01:12:13,030 --> 01:12:18,730
+اثنين، لاحظوا دائماً، أو بدّي أحكي يعني most commonly
+
+550
+01:12:18,730 --> 01:12:26,330
+يعني R2، R3 أكبر من R2، R3 أكبر من R2، معناته هذا الـ
+
+551
+01:12:26,330 --> 01:12:31,670
+term هيكون موجب، معناته هذا الـ term هيكون هذا إيش؟
+
+552
+01:12:31,670 --> 01:12:33,890
+هذا الـ term أكبر من هذا الـ term، معناته الإشارة
+
+553
+01:12:33,890 --> 01:12:37,270
+السالبة مرفوضة، الإشارة السالبة هتكون مرفوضة، هذه
+
+554
+01:12:37,270 --> 01:12:49,680
+هتصبح R4 هتكون تساوي R2 cos θ2، زائد جذر التربيعي
+
+555
+01:12:49,680 --> 01:13:02,920
+لأربعة R2 تربيع cos تربيع θ2، زائد أربعة في R3 تربيع
+
+556
+01:13:02,920 --> 01:13:09,140
+ناقص R2 تربيع، الكل على اثنين
+
+557
+01:13:13,690 --> 01:13:20,030
+الكل على اثنين، طيب أنا ليش عملت .. يبدو أنا أخطأت
+
+558
+01:13:20,030 --> 01:13:23,010
+الأمور، بس لا أنا ما أخطأتُ لسبب بسيط، لو رحت
+
+559
+01:13:23,010 --> 01:13:33,590
+حكيت أنا إنّه، حكيت إنّ استخدمت المعادلة هذه يعني
+
+560
+01:13:33,590 --> 01:13:40,790
+بسيطة، برضه، اقسم يعني، لازم أعملها على شكل صيغة tan
+
+561
+01:13:40,790 --> 01:13:45,590
+الآن، بتأخذ هذه، تقسم هذه على هذه، بيصير أن دي minus
+
+562
+01:13:45,590 --> 01:13:58,430
+R ثلاثة tan θ ثلاثة، بتساوي R
+
+563
+01:13:58,430 --> 01:14:02,650
+اثنين sine
+
+564
+01:14:02,650 --> 01:14:05,290
+θ اثنين
+
+565
+01:14:07,070 --> 01:14:14,790
+على R4، minus
+
+566
+01:14:14,790 --> 01:14:28,990
+R2، minus R2 cosine θ2، ومن
+
+567
+01:14:28,990 --> 01:14:35,030
+هنا بحسب tan θ3، tan θ
+
+568
+01:14:35,030 --> 01:14:35,490
+3
+
+569
+01:14:41,810 --> 01:14:47,250
+بيساوي R2 sin
+
+570
+01:14:47,250 --> 01:15:03,050
+θ2، على R3، في R2 cos θ2 - R4، يعني
+
+571
+01:15:03,050 --> 01:15:14,440
+أنا عرفت R4، وعرفت θ3، عرفت R أربعة و θ ثلاثة، طيب
+
+572
+01:15:14,440 --> 01:15:19,920
+انتبهوا، إذا بتكون تبرمجوها .. لما تبرمجوها بتكون
+
+573
+01:15:19,920 --> 01:15:22,940
+تشوفوا الزوايا make sense، ولا does not make sense
+
+574
+01:15:22,940 --> 01:15:28,560
+إيش يعني make sense أو does not make sense؟ يعني ..
+
+575
+01:15:28,560 --> 01:15:32,420
+يعني .. يعني .. بدّك .. يعني أنا بفضل إذا بدأت برمجة
+
+576
+01:15:32,420 --> 01:15:37,430
+على الـ math lab، تكون عملية الحساب مقرونة بـ
+
+577
+01:15:37,430 --> 01:15:42,030
+graphical user interface، عشان تشوف أوضاع الـ
+
+578
+01:15:42,030 --> 01:15:48,270
+mechanism، for θ2 من صفر لـ 360
+
+579
+01:15:48,270 --> 01:15:53,620
+درجة، بتكتشف، يعطيك position أو وضعية غير منطقية، و
+
+580
+01:15:53,620 --> 01:15:57,800
+سواء حسابات الزوايا، فيه زوايا بتكون الـ sign بتكون
+
+581
+01:15:57,800 --> 01:16:00,360
+موجودة في الربع الأول والرابع، الثاني، الـ cosine
+
+582
+01:16:00,360 --> 01:16:03,680
+موجودة في الربع الأول والرابع، الثاني، موجودة في
+
+583
+01:16:03,680 --> 01:16:06,860
+الربع الأول والثالث، وثالث، رابع، الثاني والرابع
+
+584
+01:16:06,860 --> 01:16:10,740
+الرابع، هذه بتعمل، ممكن تعمل مشاكل في البرمجة، يعني
+
+585
+01:16:10,740 --> 01:16:14,420
+عندك برمجة، تنتبه للتفاصيل هذه، طيب احنا بالطريقة
+
+586
+01:16:14,420 --> 01:16:18,340
+هذه حسبنا، حسبنا اللي هو عملنا displacement and
+
+587
+01:16:18,340 --> 01:16:20,980
+rotation analysis، اللي هنعمل velocity analysis
+
+588
+01:16:20,980 --> 01:16:22,760
+velocity
+
+589
+01:16:29,200 --> 01:16:32,500
+analysis، عشان أنا في velocity analysis دي أشتغل
+
+590
+01:16:32,500 --> 01:16:35,780
+المعادلة واحد واثنين، بالنسبة للزمن، differentiate
+
+591
+01:16:35,780 --> 01:16:44,440
+differentiate one and two with respect to time
+
+592
+01:16:44,440 --> 01:16:47,660
+المعادلة
+
+593
+01:16:47,660 --> 01:16:52,400
+رقم واحد، R أربعة هذه ثابتة ولا متغيرة؟ متغيرة
+
+594
+01:16:52,400 --> 01:17:03,840
+معناه إن في dR أربعة by dt، هتساوي minus
+
+595
+01:17:03,840 --> 01:17:11,680
+R2 cosine θ2، minus R2 sine θ2، minus R2
+
+596
+01:17:11,680 --> 01:17:22,980
+sine θ2 dθ2 by dt، minus R3 sine θ3
+
+597
+01:17:22,980 --> 01:17:31,230
+dθ3 by dt، احنا بنعرف إنّ ω اثنين بيساوي
+
+598
+01:17:31,230 --> 01:17:34,930
+dθ اثنين by dt، ω اثنين هي السرعة
+
+599
+01:17:34,930 --> 01:17:40,170
+الزاوية لـ link اثنين، والـ ω ثلاثة بيساوي d
+
+600
+01:17:40,170 --> 01:17:48,110
+θ ثلاثة by dt، والسرعة للـ slider اللي هو V4
+
+601
+01:17:48,110 --> 01:17:52,730
+بيساوي dR4 by dt
+
+602
+01:17:57,800 --> 01:18:05,040
+بتساوي minus R اثنين ω اثنين Sine θ اثنين
+
+603
+01:18:05,040 --> 01:18:13,300
+minus R ثلاثة ω ثلاثة Sine θ ثلاثة، هذه
+
+604
+01:18:13,300 --> 01:18:19,940
+معادلة، هسمّيها معادلة رقم ثلاثة، نشتق معادلة اثنين
+
+605
+01:18:19,940 --> 01:18:32,530
+هيكون dR اثنين ω اثنين، R اثنين cos θ2 dθ2 by
+
+606
+01:18:32,530 --> 01:18:47,330
+dt، زائد R3 cos θ3 dθ3 by dt، بيساوي صفر، هنعمل
+
+607
+01:18:47,330 --> 01:18:57,090
+Simplification، هسيب دي R2 ω2 cos θ2، زائد R3
+
+608
+01:18:58,030 --> 01:19:05,510
+ω ثلاثة cosine θ ثلاثة، بتساوي صفر، احنا so
+
+609
+01:19:05,510 --> 01:19:09,770
+far، الـ motion للـ link اثنين معروفة، يعني R2 معروفة
+
+610
+01:19:09,770 --> 01:19:13,490
+و ω ثلاثة معروفة، و θ اثنين معروفة، و already
+
+611
+01:19:13,490 --> 01:19:21,310
+حسبنا، already حسبنا اللي هو هذا، معادلة أربعة، و
+
+612
+01:19:21,310 --> 01:19:27,240
+already حسبنا θ ثلاثة، معناته بقدر أحسب إيش من
+
+613
+01:19:27,240 --> 01:19:30,820
+معادلة أربعة؟ ممكن أحسب ω ثلاثة، from equation
+
+614
+01:19:30,820 --> 01:19:42,080
+four، from four، بنحسب ω ثلاثة بيساوي minus R
+
+615
+01:19:42,080 --> 01:19:51,060
+اثنين ω اثنين cosine θ اثنين، على R ثلاثة
+
+616
+01:19:51,060 --> 01:19:58,810
+cosine θ ثلاثة، خلاص، فهمتوا؟ معناته ومن ثلاثة
+
+617
+01:19:58,810 --> 01:20:07,390
+بحسب سرعة الـ slider، V4، from three، calculate
+
+618
+01:20:07,390 --> 01:20:12,490
+V4
+
+619
+01:20:12,490 --> 01:20:17,470
+معناته so far، عملنا احنا velocity .. velocity
+
+620
+01:20:17,470 --> 01:20:18,010
+analysis
+
+621
+01:20:27,270 --> 01:20:3
+
+667
+01:25:58,610 --> 01:26:01,810
+حسابات الـ sine والـ cosine والـ tan في الربع الرابع
+
+668
+01:26:01,810 --> 01:26:03,870
+الأول ولا الرابع؟ الـ tan في الربع الثالث ولا الرابع؟
+
+669
+01:26:03,870 --> 01:26:07,780
+الرابع الرابع. بذكركم كمان مرة: الـ sign
+
+670
+01:26:07,780 --> 01:26:11,140
+بتكون موجبة في الربع الأول والثاني...
+
+671
+01:26:11,140 --> 01:26:14,540
+الـ cosine بتكون موجبة في الربع الأول والرابع
+
+672
+01:26:14,540 --> 01:26:17,740
+الـ tan بتكون موجبة في الربع الأول والثالث. فمهم كتير
+
+673
+01:26:17,740 --> 01:26:22,360
+كتير لما تبرمجوا، تنتبهوا لشكل الميكانيزم
+
+674
+01:26:22,360 --> 01:26:25,320
+إنه يعني does make sense ده
+
+675
+01:26:25,320 --> 01:26:28,680
+هتختار اللي هو الـ correct
+
+676
+01:26:28,680 --> 01:26:31,560
+correct واللي هو الـ realistic solution
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/a4OTCjqIibU_postprocess.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/a4OTCjqIibU_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..c13b9bb34aad6295a2786f714a09a2635c3c6a57
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/a4OTCjqIibU_postprocess.srt
@@ -0,0 +1,2704 @@
+1
+00:00:04,890 --> 00:00:07,990
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,990 --> 00:00:12,110
+وبركاته اليوم هنبدأ محاضرة جديدة في مادة مظرية
+
+3
+00:00:12,110 --> 00:00:17,650
+القلاد الموضوع هو استخدام الأرقام المركبة complex
+
+4
+00:00:17,650 --> 00:00:21,310
+number analysis في تحليل القلاد يعني complex
+
+5
+00:00:21,310 --> 00:00:23,350
+number analysis of mechanisms
+
+6
+00:00:39,230 --> 00:00:49,770
+of mechanisms خلّينا
+
+7
+00:00:49,770 --> 00:00:56,070
+نعمل مراجعة سريعة لل complex number في نظام
+
+8
+00:00:56,070 --> 00:01:03,650
+الإحداثيات ال D كرتية لو أخدنا في 2D بيكون عندى
+
+9
+00:01:03,650 --> 00:01:11,170
+المحورين X وY لو عندى نقطة هنانقطة إحداثياتها
+
+10
+00:01:11,170 --> 00:01:17,050
+هتكون X و
+
+11
+00:01:17,050 --> 00:01:23,070
+Y يعني نقطة معرفة بإحداثيين إحداثي X و إحداثي Y
+
+12
+00:01:23,070 --> 00:01:28,290
+هذا اللي هو Cartesian Coordinates لأن في حالة
+
+13
+00:01:28,290 --> 00:01:33,170
+Complex Numbers بيكون نظام الإحداثيات and
+
+14
+00:01:33,170 --> 00:01:40,570
+imaginaryيعني يقابلوا ال X هنا او .. او real ..
+
+15
+00:01:40,570 --> 00:01:52,390
+real هنا imaginary يقابلوا ال Y اي نقطة تتعرف
+
+16
+00:01:52,390 --> 00:01:56,410
+بإحداثين اللي
+
+17
+00:01:56,410 --> 00:01:59,690
+هو الإحداث الحقيقي ال real اللي هي في ال X
+
+18
+00:01:59,690 --> 00:02:05,010
+والإحداث التخيلي في الاتجاه
+
+19
+00:02:07,560 --> 00:02:15,660
+اللي هو imaginary Y هذه نقطة point الان
+
+20
+00:02:15,660 --> 00:02:25,460
+ممكن احكي ان اعرف النقطة هذه من خلال ال vector R
+
+21
+00:02:25,460 --> 00:02:33,400
+و الزاوية هذه theta tan theta
+
+22
+00:02:36,750 --> 00:02:42,850
+هتساوي ال y على ال x أو بتساوي ال imaginary part
+
+23
+00:02:42,850 --> 00:02:53,050
+للإحداثيات على ال real part للإحداثيات اللي
+
+24
+00:02:53,050 --> 00:02:57,890
+أنا ممكن أعرف في ال position ال vector ما هو كنقطة
+
+25
+00:02:57,890 --> 00:03:02,010
+R كإحداث
+
+26
+00:03:02,010 --> 00:03:17,520
+X باتجاه ال realزائد J زائد Y باتجاه الـ J JY يعني
+
+27
+00:03:17,520 --> 00:03:25,380
+عندي real part وعندي
+
+28
+00:03:25,380 --> 00:03:33,060
+imaginary part في جزء حقيقي وجزء تخيلي
+
+29
+00:03:34,800 --> 00:03:46,960
+اللي هنلاحظه ال X ال X بالساوية R Cos Theta وال Y
+
+30
+00:03:46,960 --> 00:03:52,860
+بالساوية R Sin Theta المعنى اللي هتكون اعبّر على
+
+31
+00:03:52,860 --> 00:04:02,360
+ال R ك vector هتكون ال X R Cos Theta زائد خدم ده
+
+32
+00:04:02,360 --> 00:04:04,380
+استخدم ال I هنا بدل ال J
+
+33
+00:04:07,250 --> 00:04:17,110
+زائد I R اللي هي R sin θ يمكن أخد R عالم مشترك
+
+34
+00:04:17,110 --> 00:04:29,790
+يكون عندي cos θ زائد I sin θ هذه طريقة للتعبير عن
+
+35
+00:04:29,790 --> 00:04:35,550
+ال R position vector للنقطة P طريقة تانية ممكن
+
+36
+00:04:35,550 --> 00:04:42,590
+أحكي Rك vector بيستوي قيمة ال vector R exponential
+
+37
+00:04:42,590 --> 00:04:51,290
+E to the power I theta طبعا
+
+38
+00:04:51,290 --> 00:04:56,210
+ال E I theta احنا عارفين ان ال E I theta فيها two
+
+39
+00:04:56,210 --> 00:05:02,150
+parts واحدة بتجارية ال cosine theta واحدة بتجارية
+
+40
+00:05:02,150 --> 00:05:05,390
+ال imaginary sin theta
+
+41
+00:05:10,230 --> 00:05:12,390
+هذا المفروض يكونوا عارفينه في المدرسة يعني هذا
+
+42
+00:05:12,390 --> 00:05:16,570
+مراجعة او في ال calculus مراجعة ال complex number
+
+43
+00:05:16,570 --> 00:05:22,530
+احنا هنستخدم هذه ال concepts عشان ندرس اللي هو
+
+44
+00:05:22,530 --> 00:05:28,550
+displacement نحكي using the
+
+45
+00:05:28,550 --> 00:05:33,750
+concept of
+
+46
+00:05:33,750 --> 00:05:37,830
+complex numbers
+
+47
+00:05:41,770 --> 00:05:46,690
+to make position
+
+48
+00:05:46,690 --> 00:05:53,150
+.. to make position velocity
+
+49
+00:05:53,150 --> 00:05:57,290
+and
+
+50
+00:05:57,290 --> 00:06:00,350
+acceleration
+
+51
+00:06:00,350 --> 00:06:04,690
+analysis
+
+52
+00:06:11,520 --> 00:06:19,500
+هناخد مثال .. هناخد مثال ال .. ال four bar linkage
+
+53
+00:06:19,500 --> 00:06:25,280
+ناخد ال four bar mechanism خلّيني
+
+54
+00:06:25,280 --> 00:06:36,160
+أرسم ال four bar mechanism ال
+
+55
+00:06:36,160 --> 00:06:38,400
+four bar mechanism هيكون عندك crank
+
+56
+00:06:45,940 --> 00:06:53,840
+وعندي connecting rod وعندي
+
+57
+00:06:53,840 --> 00:07:02,000
+follower القرض
+
+58
+00:07:02,000 --> 00:07:09,280
+هسميها link رقم واحد وال crank link رقم اتنين ال
+
+59
+00:07:09,280 --> 00:07:13,940
+connecting rod link رقم تلاتة وال follower link
+
+60
+00:07:13,940 --> 00:07:14,880
+رقم اربعة
+
+61
+00:07:21,520 --> 00:07:26,720
+الان ال link two جاية بين نقطة واحد و نقطة ..
+
+62
+00:07:26,720 --> 00:07:36,960
+بالنقطة .. خلينا نقرأ اساميها دي a b c d link رقم
+
+63
+00:07:36,960 --> 00:07:44,100
+اتنين جاية بين نقطة a و نقطة b الان
+
+64
+00:07:44,100 --> 00:07:47,480
+هعرف link two as a vector vector
+
+65
+00:07:57,390 --> 00:08:09,010
+اسميها R2 و link تلاتة as a vector R3
+
+66
+00:08:09,010 --> 00:08:18,850
+و link أربعة as a vector R4
+
+67
+00:08:18,850 --> 00:08:29,650
+و link واحد بين A و Das a vector من D ل A او من A
+
+68
+00:08:29,650 --> 00:08:40,890
+ل D سميتها
+
+69
+00:08:40,890 --> 00:08:44,870
+R1 for
+
+70
+00:08:44,870 --> 00:08:45,750
+each link
+
+71
+00:09:02,210 --> 00:09:12,210
+define a local coordinate system
+
+72
+00:09:12,210 --> 00:09:17,170
+يعني
+
+73
+00:09:17,170 --> 00:09:21,590
+عند link 2 هيكون عند ايه؟ هاي x, x و y
+
+74
+00:09:26,020 --> 00:09:30,620
+وبتعمل R2 مع ال .. مع ال X axis في اتجاه عكس على
+
+75
+00:09:30,620 --> 00:09:38,160
+الخارج السياعي الزاوية الـ theta 2 بالنسبة
+
+76
+00:09:38,160 --> 00:09:44,620
+لل X small و Y small ممكن اعرف R2 R2 ك vector
+
+77
+00:09:44,620 --> 00:09:53,460
+بالساوية R2 exponential EI theta 2
+
+78
+00:09:56,780 --> 00:10:01,320
+الان R تلاتة برضه هعرفلها local coordinate system
+
+79
+00:10:01,320 --> 00:10:04,880
+هاي
+
+80
+00:10:04,880 --> 00:10:16,540
+X وهاي Y لأن R تلاتة هتزاغيها تيتا
+
+81
+00:10:16,540 --> 00:10:26,180
+تلاتة R تلاتة ال position vector R تلاتة هتساوي
+
+82
+00:10:27,560 --> 00:10:33,560
+R تلاتة كمتها في ال exponential لأ EI ثتا تلاتة
+
+83
+00:10:33,560 --> 00:10:41,620
+طبعا أنا بلف بعكس عقار بالساعة الان link four هعرف
+
+84
+00:10:41,620 --> 00:10:46,920
+احداثيات هاي
+
+85
+00:10:46,920 --> 00:10:53,300
+X small وهاي Y small لان همشي بعكس عقار بالساعة
+
+86
+00:10:56,600 --> 00:11:07,560
+هذا هتكون theta four هتكون
+
+87
+00:11:07,560 --> 00:11:15,660
+دي R أربعة ك vector بس قيمته R أربعة في
+
+88
+00:11:15,660 --> 00:11:18,880
+exponential ل EI theta أربعة
+
+89
+00:11:23,760 --> 00:11:29,800
+و نفس الشي عندي هاي R واحد و R واحد بتساوي R واحد
+
+90
+00:11:29,800 --> 00:11:41,100
+E I ثتا واحد إلى
+
+91
+00:11:41,100 --> 00:11:44,620
+اللحظة عندي .. عندي .. عندي هاي vector R اتنين R
+
+92
+00:11:44,620 --> 00:11:47,720
+تلاتة R أربعة ماشيين
+
+93
+00:11:49,360 --> 00:11:59,860
+clockwise عندي R اتنين R اتنين R تلاتة and R اربعة
+
+94
+00:11:59,860 --> 00:12:06,260
+are moving
+
+95
+00:12:06,260 --> 00:12:10,460
+or rotating clockwise
+
+96
+00:12:10,460 --> 00:12:14,500
+يعني هاي clockwise يعني ماشي انا ماشي من من اتنين
+
+97
+00:12:14,500 --> 00:12:19,580
+لاربعة clockwiseالـ vector اللي بيسكر ال polygon
+
+98
+00:12:19,580 --> 00:12:26,940
+اللي هو R1 معناته R1 هو المحصلة معناته R1 ك vector
+
+99
+00:12:26,940 --> 00:12:38,120
+بالثورة R2 زائد R3 زائد R4 ك vector الآن نعود عن
+
+100
+00:12:38,120 --> 00:12:51,370
+R1 R1 عبارة عن R1 E أُس I θ 1بيستوى R2EIθ2
+
+101
+00:12:51,370 --> 00:12:57,030
+وR3 عبارة عن R ثلاثة اللحظة و أنا لما بحكي vector
+
+102
+00:12:57,030 --> 00:13:03,810
+بكون حاطط شرطة أعلى ال letter إذا مافيش شرطة بحكي
+
+103
+00:13:03,810 --> 00:13:12,950
+عن scalar زاد R ثلاثة EI ثتا ثلاثة زاد R أربعة EI
+
+104
+00:13:12,950 --> 00:13:14,130
+ثتا أربعة
+
+105
+00:13:18,510 --> 00:13:23,770
+مع العلم نحكي ثيتا واحد أفقية ثيتا واحد أفقية
+
+106
+00:13:23,770 --> 00:13:25,750
+أفقية أفقية ثيتا واحد أفقية ثيتا واحد أفقية ثيتا
+
+107
+00:13:25,750 --> 00:13:29,670
+واحد أفقية ثيتا واحد أفقية ثيتا
+
+108
+00:13:29,670 --> 00:13:31,910
+واحد أفقية ثيتا واحد أفقية ثيتا واحد أفقية ثيتا
+
+109
+00:13:31,910 --> 00:13:32,490
+واحد أفقية ثيتا واحد أفقية ثيتا واحد أفقية ثيتا
+
+110
+00:13:32,490 --> 00:13:32,770
+واحد أفقية ثيتا واحد أفقية ثيتا واحد أفقية ثيتا
+
+111
+00:13:32,770 --> 00:13:38,210
+واحد أفقية ثيتا واحد أفقية ثيتا واحد أفقية ثيتا
+
+112
+00:13:38,210 --> 00:13:43,710
+واحد أفقية ثيتا
+
+113
+00:13:43,710 --> 00:13:56,200
+واحد أفقية ثثيتا واحد بتساوي ال R اتنين في cosine
+
+114
+00:13:56,200 --> 00:14:09,720
+ثيتا اتنين زاد I sine ثيتا اتنين زاد R تلاتة في ال
+
+115
+00:14:09,720 --> 00:14:15,870
+E I ثيتا تلاتة لها real part cosine ثيتا تلاتةزاد
+
+116
+00:14:15,870 --> 00:14:27,830
+اي صين ثيتا تلاتة زاد R أربعة فيه عندي E I ثيتا
+
+117
+00:14:27,830 --> 00:14:33,090
+أربعة لها مركبتين واحدة real اللي هي cosine ثيتا
+
+118
+00:14:33,090 --> 00:14:38,670
+أربعة زاد اي صين ثيتا أربعة
+
+119
+00:14:50,310 --> 00:14:53,830
+لأن الطرف الأيصر يساوي الطرف الأيمن عشان الطرف
+
+120
+00:14:53,830 --> 00:14:57,610
+الأيصر يساوي الطرف الأيمن لازم ال real part of the
+
+121
+00:14:57,610 --> 00:15:01,110
+left hand لازم يساوي ال real part of the right
+
+122
+00:15:01,110 --> 00:15:04,890
+hand و ال imaginary part of the left hand لازم
+
+123
+00:15:04,890 --> 00:15:09,950
+يساوي ال imaginary part لل left hand يعني ال real
+
+124
+00:15:09,950 --> 00:15:16,810
+part هكون
+
+125
+00:15:16,810 --> 00:15:32,430
+دي cosine ثتا واحدبتساوى R1 Cos θ1 بتساوى R2 Cos
+
+126
+00:15:32,430 --> 00:15:46,890
+θ2 زاد R3 Cos θ3 زاد R4 Cos θ4
+
+127
+00:15:55,360 --> 00:16:07,120
+الـ imaginary part جزء التخيلة هيكون R1 Sine Theta
+
+128
+00:16:07,120 --> 00:16:24,430
+1 بتساوي R2 Sine Theta 2زاد R3 Sine Theta 3 زاد R4
+
+129
+00:16:24,430 --> 00:16:32,470
+Sine Theta 4 هذه معادلة اتنين احنا عارفين Theta
+
+130
+00:16:32,470 --> 00:16:36,230
+واحد بالساوي صفر مانعتك و Sine Theta واحد هتساوي
+
+131
+00:16:36,230 --> 00:16:39,950
+واحد و Sine Theta واحد هتساوي صفر المعادلة واحد
+
+132
+00:16:39,950 --> 00:16:42,550
+اتنين بيصير بالشكل التالي
+
+133
+00:16:46,830 --> 00:16:53,370
+لما أحط θ1 صفر هصير عندي R1 بتساوي
+
+134
+00:16:53,370 --> 00:17:10,570
+R2 Cos θ2 زاد R3 Cos θ3 زاد R4 Cos θ4 هذه معادلة
+
+135
+00:17:10,570 --> 00:17:13,570
+واحدةالمعادل الأتنين اللي حاكيه هنا تت واحد
+
+136
+00:17:13,570 --> 00:17:16,890
+بالساوة سفر معناته ساين تت واحد بالساوة سفر معناته
+
+137
+00:17:16,890 --> 00:17:22,210
+السفر هيكون سفر
+
+138
+00:17:22,210 --> 00:17:30,870
+تكون ساوة R اتنين ساين ثيتا اتنين زائد R تلاتة
+
+139
+00:17:30,870 --> 00:17:41,320
+ساين ثيتا تلاتة زائد R أربعة ساينdata أربعة هذه
+
+140
+00:17:41,320 --> 00:17:49,800
+معادلة رقم اتنين لاحظوا
+
+141
+00:17:49,800 --> 00:17:55,420
+في قلية زي هذه ال input بيكون عند ال link عادة ال
+
+142
+00:17:55,420 --> 00:17:59,560
+input بيكون عند ال link اتنين معناته انا بكون عارف
+
+143
+00:17:59,560 --> 00:18:07,880
+الزاوية بتتحركها و بكون عارف السرعة بتاعتها يعني
+
+144
+00:18:07,880 --> 00:18:09,220
+انت بحكي given
+
+145
+00:18:15,290 --> 00:18:25,410
+ال dimensions of the lengths يعني R2 و R3 و R4 و
+
+146
+00:18:25,410 --> 00:18:33,010
+R1 و θ2 then
+
+147
+00:18:33,010 --> 00:18:37,270
+بدي
+
+148
+00:18:37,270 --> 00:18:44,650
+أحل أحسب الزاوية θ3 و θ4 solve for
+
+149
+00:18:46,740 --> 00:19:04,080
+theta تلاتة and theta أربعة يعني
+
+150
+00:19:04,080 --> 00:19:10,760
+لو أخدت المعادلة
+
+151
+00:19:10,760 --> 00:19:21,590
+واحد وعديت الترتيبةحكيت روحت جبت ال R4 Cos θ4 على
+
+152
+00:19:21,590 --> 00:19:38,170
+جهة يعني هسيلا دي R4 Cos θ4 هتستوى R1 minus R2 Cos
+
+153
+00:19:38,170 --> 00:19:53,250
+θ2-R تلاتة Cos θ تلاتة هذه معادلة واحد و حكيت
+
+154
+00:19:53,250 --> 00:20:04,890
+R أربعة Sin θ أربعة بالساوية ناقص أو خلينا نحكي ال
+
+155
+00:20:04,890 --> 00:20:05,330
+general minus
+
+156
+00:20:08,210 --> 00:20:18,770
+R4 Sine Theta 4 بيستوى R2 Sine Theta 2 زائد
+
+157
+00:20:18,770 --> 00:20:30,670
+R3 Sine Theta 3 خلينا نسميها دلوقت تلاتة وهذه
+
+158
+00:20:30,670 --> 00:20:34,350
+أربعة الان
+
+159
+00:20:34,350 --> 00:20:39,430
+انا هربي معادلة تلاتةو هربي المعادل 4 و بعدين
+
+160
+00:20:39,430 --> 00:20:46,090
+أجمعهم مع بعض يعني square equation
+
+161
+00:20:46,090 --> 00:20:58,950
+3 and 4 then add هسيلي التاله مربع المعادل يعني
+
+162
+00:20:58,950 --> 00:21:02,950
+اللي هندفنش معايصر معايصر او ايبن معايبين هيكون R4
+
+163
+00:21:04,000 --> 00:21:13,760
+تربية cos θ أربعة تربية zr أربعة تربية sin θ أربعة
+
+164
+00:21:13,760 --> 00:21:21,240
+تربية هكون
+
+165
+00:21:21,240 --> 00:21:25,380
+عنداه خلّيني
+
+166
+00:21:25,380 --> 00:21:35,430
+أربع المعادلة هذه ر واحد minus r اتنينR1-R1R2-R1R2
+
+167
+00:21:35,430 --> 00:21:48,410
+-R3R2-R3R2-R3R2-R3R2-R3R2-R3R2
+
+168
+00:21:48,410 --> 00:21:49,350
+-R3R2-R3R2-R3R2-R3R2-R3R2-R3R2-R3R2-R3R2-R3R2-R3R2
+
+169
+00:21:49,350 --> 00:21:50,270
+-R3R2-R3R2-R3R2-R3R2-R3R2-R3R2-R3R2-R2R2-R2R2-R2R2
+
+170
+00:21:50,270 --> 00:21:58,270
+-R2R2-R2R2-R2R2-R2R2-R2R2-R2R2-R
+
+171
+00:22:15,950 --> 00:22:28,650
+-R1R3cosθ3 بعدين minus R1R2cosθ2
+
+172
+00:22:35,820 --> 00:22:49,280
+زائد R2 Cos θ2 زائد
+
+173
+00:22:49,280 --> 00:23:01,960
+R2 R3 Cos θ3 minus R1 R3
+
+174
+00:23:01,960 --> 00:23:04,300
+Cos θ3
+
+175
+00:23:08,350 --> 00:23:16,330
+-r2r3 minus او زائد r2r3
+
+176
+00:23:16,330 --> 00:23:24,410
+cos θ3 cos θ2 بس لحظة خليني اتأكد اولش عندى r1
+
+177
+00:23:24,410 --> 00:23:31,470
+تربية minus r1r2 cos θ2 minus r1r3 cos θ3 minus
+
+178
+00:23:31,470 --> 00:23:34,710
+r1r2
+
+179
+00:23:34,710 --> 00:23:45,870
+cos θ2زاد R2 تربيع كوصين تتربيع تتانين زاد R2 R3
+
+180
+00:23:45,870 --> 00:23:51,730
+كوصين تتلاتة كوصين تتانين التالتة
+
+181
+00:23:51,730 --> 00:24:00,530
+minus R1 R3 كوصين تتلاتة زاد R2 R3 كوصين تتلاتة
+
+182
+00:24:00,530 --> 00:24:03,330
+كوصين تتانين زاد
+
+183
+00:24:05,660 --> 00:24:18,420
+زائد R تلاتة تربيع Cos θ تلاتة تربيع طيب
+
+184
+00:24:18,420 --> 00:24:31,660
+نجمع هكون عندنا R واحد تربيع minus اتنين R واحد R
+
+185
+00:24:31,660 --> 00:24:34,700
+اتنين Cos θ اتنين
+
+186
+00:24:37,960 --> 00:24:50,660
+-2R1R3 Cos θ3 زائد 2R2R3
+
+187
+00:24:50,660 --> 00:24:58,840
+Cos θ2 Cos θ3 زائد
+
+188
+00:24:58,840 --> 00:25:13,770
+R2 Cos تربيع θ2زائد R ثلاثة تربية
+
+189
+00:25:13,770 --> 00:25:23,830
+Cos θ تلاتة تربية المعوض هنا المربع الأول هذا R
+
+190
+00:25:23,830 --> 00:25:30,190
+واحد تربية ماقص اتنين R واحد R اتنين Cos ثتا اتنين
+
+191
+00:25:30,190 --> 00:25:37,720
+minus اتنين R واحد R تلاتةcos θ تلاتة زائد اتنين R
+
+192
+00:25:37,720 --> 00:25:42,660
+اتنين
+
+193
+00:25:42,660 --> 00:25:50,860
+R اتنين
+
+194
+00:25:50,860 --> 00:26:02,760
+R تلاتة cosine theta اتنين cosine theta تلاتة زائد
+
+195
+00:26:04,240 --> 00:26:11,320
+R2 تربيع Cos تربيع ثيتا اتنين زاد R3 تربيع Cos
+
+196
+00:26:11,320 --> 00:26:22,120
+تربيع ثيتا تلاتة هربع هذه هذه هتكون هذه زاد R2
+
+197
+00:26:22,120 --> 00:26:32,860
+تربيع Sin تربيع ثيتا اتنين زاد R3تربيع sin تربيع
+
+198
+00:26:32,860 --> 00:26:39,280
+ثتا ثلاثة لاحظوا عند ال R أربع تربيع و sin تربيع
+
+199
+00:26:39,280 --> 00:26:45,300
+ثتا أربع تربيع هذا بتساوي R أربعة R أربعة تربيع
+
+200
+00:26:45,300 --> 00:26:57,780
+هتساوي هاخد ال term هذا هذا ال term مع
+
+201
+00:26:57,780 --> 00:26:58,540
+ال term هذا
+
+202
+00:27:01,380 --> 00:27:09,140
+يعني حصيرا دي هنا هذا خلصنا منها R1 تربيع هذا
+
+203
+00:27:09,140 --> 00:27:13,840
+مع هذا هذا هتكون R2 تربيع Sin تربيع تتنين زاد R2
+
+204
+00:27:13,840 --> 00:27:19,860
+تربيع Cos تربيع تتنين يعني هتكون R2 تربيع
+
+205
+00:27:19,860 --> 00:27:26,820
+بعدين هاخد ال term هذا مع
+
+206
+00:27:26,820 --> 00:27:27,540
+ال term هذا
+
+207
+00:27:30,510 --> 00:27:33,870
+اللي هو R تلاتة تربيع R تلاتة تربيع R تلاتة تربيع
+
+208
+00:27:33,870 --> 00:27:34,370
+R تلاتة تربيع R تلاتة تربيع R تلاتة تربيع R تلاتة
+
+209
+00:27:34,370 --> 00:27:35,530
+تربيع R تلاتة تربيع R تلاتة تربيع R تلاتة تربيع R
+
+210
+00:27:35,530 --> 00:27:38,430
+تلاتة تربيع R تلاتة تربيع R تلاتة تربيع R تلاتة
+
+211
+00:27:38,430 --> 00:27:39,730
+تربيع R تلاتة تربيع R تلاتة تربيع R تلاتة تربيع R
+
+212
+00:27:39,730 --> 00:27:44,610
+تربيع R تلاتة
+
+213
+00:27:44,610 --> 00:27:54,150
+تربيع R تلاتة تربيع R تلاتة
+
+214
+00:27:54,150 --> 00:27:58,170
+تربيع R
+
+215
+00:27:58,170 --> 00:28:19,830
+تلاتةR2 R3 Sin θ2 Sin θ3 هتكون minus 2R1R2 Cos θ2
+
+216
+00:28:19,830 --> 00:28:28,030
+minus 2R1R3
+
+217
+00:28:28,830 --> 00:28:34,890
+cos θ تلاتة زائد
+
+218
+00:28:34,890 --> 00:28:38,010
+اتنين
+
+219
+00:28:38,010 --> 00:28:51,030
+R اتنين R تلاتة في cos θ اتنين cos θ تلاتة زائد
+
+220
+00:28:51,030 --> 00:28:57,350
+sin θ اتنين sin θ تلاتة
+
+221
+00:29:06,070 --> 00:29:10,970
+اللحظة في المعادلة دي دي دي دي دي دي دي دي دي دي
+
+222
+00:29:10,970 --> 00:29:13,630
+دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي
+
+223
+00:29:13,630 --> 00:29:13,730
+دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي
+
+224
+00:29:13,730 --> 00:29:18,110
+دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي
+
+225
+00:29:18,110 --> 00:29:18,150
+دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي
+
+226
+00:29:32,950 --> 00:29:37,270
+بنحل طبعا معادلة non-linear بنحل بالنسبة ل ..
+
+227
+00:29:37,270 --> 00:29:43,450
+لثيتا تلاتة solve solve
+
+228
+00:29:43,450 --> 00:29:49,770
+solve خمسة
+
+229
+00:29:49,770 --> 00:29:59,490
+for ثيتا تلاتة بعد أن حل خمسة for ثيتا تلاتة بنعود
+
+230
+00:29:59,490 --> 00:30:11,860
+فيفي معادلة و بعدين substitute about
+
+231
+00:30:11,860 --> 00:30:15,120
+theta
+
+232
+00:30:15,120 --> 00:30:21,340
+تلاتة in أربعة
+
+233
+00:30:21,340 --> 00:30:35,460
+then solve for theta أربعةمعناته احنا بمعرفتنا
+
+234
+00:30:35,460 --> 00:30:43,680
+لأطوار ال link R1 وR2 وR3 وR4 بمعرفتنا حركة ال
+
+235
+00:30:43,680 --> 00:30:48,680
+link 2 يعني عارفين ال theta 2 استطعنا نحسب اللي هو
+
+236
+00:30:48,680 --> 00:30:54,700
+ال theta 3 و ال theta 4 وعشان احل ال theta 3 و ال
+
+237
+00:30:54,700 --> 00:30:58,380
+theta 4 فعندي معدلتين المجهولين المجهولين هم ال
+
+238
+00:30:58,380 --> 00:31:05,790
+theta 3وثيتا أربعة ثيتا تلاتة وثيتا أربعة بحل
+
+239
+00:31:05,790 --> 00:31:10,030
+المعادلتين هدول بحصل ثيتا تلاتة وثيتا أربعة so far
+
+240
+00:31:10,030 --> 00:31:14,830
+I define اللي هو displacement and rotation so far
+
+241
+00:31:14,830 --> 00:31:21,230
+so far we
+
+242
+00:31:21,230 --> 00:31:25,150
+solve for
+
+243
+00:31:25,150 --> 00:31:28,030
+displacement
+
+244
+00:31:33,850 --> 00:31:39,190
+and rotation of
+
+245
+00:31:39,190 --> 00:31:48,150
+the lengths يعني
+
+246
+00:31:48,150 --> 00:31:57,250
+انا مطلوب ان احل بعد هيك ال velocity علشان احل ال
+
+247
+00:31:57,250 --> 00:32:00,130
+velocity خلينا نمسح
+
+248
+00:32:07,740 --> 00:32:13,080
+الان هعمل velocity analysis
+
+249
+00:32:13,080 --> 00:32:23,300
+الان
+
+250
+00:32:23,300 --> 00:32:28,960
+velocity analysis
+
+251
+00:32:28,960 --> 00:32:30,520
+تحليل سرعات
+
+252
+00:32:35,170 --> 00:32:40,850
+عشان احل سرعات باشتق المعادلة واحد اتنين بالنسبة
+
+253
+00:32:40,850 --> 00:32:50,350
+للزمن differentiate one
+
+254
+00:32:50,350 --> 00:33:00,390
+and two with respect to time بالنسبة للزمن لما
+
+255
+00:33:00,390 --> 00:33:04,090
+اشتق ال R واحد constant مش تقرا ايش هكون سفر
+
+256
+00:33:06,610 --> 00:33:19,270
+هتكون هنا عندي R2 هتكون minus R2 في sin θ2 في dθ2
+
+257
+00:33:19,270 --> 00:33:29,110
+by dt مشتقت الكساية و مشتقت اللي جوا minus R3 sin
+
+258
+00:33:29,110 --> 00:33:35,510
+θ3 في dθ3 by dt
+
+259
+00:33:38,200 --> 00:33:49,520
+-r4 sin θ4 dθ4 by dt هذه المعادلة رقم واحد اشتقاق
+
+260
+00:33:49,520 --> 00:34:02,300
+المعادلة التالين سفر هتساوي r2 cos θ2 dθ2 by dt
+
+261
+00:34:02,300 --> 00:34:24,440
+زاد r3cos θ3 dθ3 by dt زائد R4 في cos θ4 dθ4 by dt
+
+262
+00:34:32,610 --> 00:34:36,930
+الان اللي هو dθ و dθ هي معدل تغير الزاوية 2
+
+263
+00:34:36,930 --> 00:34:43,190
+بالنسبة لزمانات و تمثل سرعة زاوية dθ
+
+264
+00:34:43,190 --> 00:34:46,350
+او دعوني اقول اوميجا اتنين اللي هي السرعة الزاوية
+
+265
+00:34:46,350 --> 00:34:52,270
+لل link اتنين اللي هي dθ اتنين by dt او اوميجا
+
+266
+00:34:52,270 --> 00:35:01,310
+تلاتة بالساوية dθ تلاتة by dtوميجا اربعة بس هو دي
+
+267
+00:35:01,310 --> 00:35:08,610
+ثيتا اربعة by دي تي طيب
+
+268
+00:35:08,610 --> 00:35:16,750
+معناته خلينا نرتب المعادلة هذه هتصير صفر بتساوي
+
+269
+00:35:16,750 --> 00:35:25,490
+ونشيل ال minus هتصير R اتنين اوميجا اتنين صين ثيتا
+
+270
+00:35:25,490 --> 00:35:39,040
+اتنينزاد R تلاتة Omega تلاتة Sine theta تلاتة زاد
+
+271
+00:35:39,040 --> 00:35:43,900
+R أربعة Omega
+
+272
+00:35:43,900 --> 00:35:51,320
+أربعة Sine theta أربعة المعادلة التانية هتكون صفر
+
+273
+00:35:51,320 --> 00:36:02,310
+بالسواء R اتنين Omega اتنينcos θ تلاتة زاد R تلاتة
+
+274
+00:36:02,310 --> 00:36:14,310
+omega تلاتة cos θ تلاتة زاد R أربعة omega أربعة
+
+275
+00:36:14,310 --> 00:36:16,890
+cos θ أربعة
+
+276
+00:36:31,050 --> 00:36:35,930
+خلّيني اجيب ال .. اجيب
+
+277
+00:36:35,930 --> 00:36:41,390
+ال R4 Omega 4 Sine Theta 4 على الجهة الشمال هصف
+
+278
+00:36:41,390 --> 00:36:45,390
+عندي هنا minus
+
+279
+00:36:45,390 --> 00:36:56,010
+R4 Omega 4 Sine Theta 4 بتساوي
+
+280
+00:36:56,010 --> 00:37:05,800
+R2وميجا اتنين ساين ثيتا اتنين زائد R تلاتة اوميجا
+
+281
+00:37:05,800 --> 00:37:12,740
+تلاتة ساين ثيتا تلاتة و
+
+282
+00:37:12,740 --> 00:37:16,280
+هجيب برضه ال R اربع و اوميجا اربعة على جهة الشمال
+
+283
+00:37:16,280 --> 00:37:21,900
+بيصير minus R اربعة اوميجا اربعة كو ساين ثيتا
+
+284
+00:37:21,900 --> 00:37:29,860
+اربعة بتساوي R اتنينوميجا اتنين كوصين ثيتا اتنين
+
+285
+00:37:29,860 --> 00:37:44,980
+زاد R تلاتة اوميجا تلاتة كوصين ثيتا تلاتة خلصها
+
+286
+00:37:44,980 --> 00:37:50,900
+هذه المعادلة معادلة رقم ستة هذه المعادلة رقم سبعة
+
+287
+00:37:50,900 --> 00:37:54,120
+لاحظوا
+
+288
+00:38:01,400 --> 00:38:07,500
+انا so far الزوايا حسبتهم θ تلاتة و θ أربعة محسبين
+
+289
+00:38:07,500 --> 00:38:15,540
+و أطوال ال links R2 و R3 و R4 معروفين و حركة ال
+
+290
+00:38:15,540 --> 00:38:22,400
+link two معروفة يعني omega two is known يعني بدي
+
+291
+00:38:22,400 --> 00:38:28,800
+احكي ال given R2
+
+292
+00:38:31,330 --> 00:38:40,970
+R3 و R4 و Omega 2 Already Theta 3 و Theta 4
+
+293
+00:38:40,970 --> 00:38:48,730
+Already Calculated And Theta 3 و Theta 4 Already
+
+294
+00:38:48,730 --> 00:38:58,030
+Calculated حسبناهم Solve
+
+295
+00:39:02,010 --> 00:39:16,010
+ستة and سبعة four Omega تلاتة and Omega أربعة طبعا
+
+296
+00:39:16,010 --> 00:39:25,570
+عشان حل المعادلة هذه ممكن
+
+297
+00:39:28,100 --> 00:39:34,660
+أقسم المعادلة 6 على المعادلة 7 يعني divide 6 over
+
+298
+00:39:34,660 --> 00:39:39,560
+7 divide
+
+299
+00:39:39,560 --> 00:39:45,080
+6
+
+300
+00:39:45,080 --> 00:39:48,100
+over 7
+
+301
+00:39:55,560 --> 00:40:03,860
+هذه طريقة بتروح ال omega اربعة بتروح او طريقة
+
+302
+00:40:03,860 --> 00:40:14,200
+تانية بربع معادلة ستة معادلة سبعة or
+
+303
+00:40:14,200 --> 00:40:19,260
+square
+
+304
+00:40:22,070 --> 00:40:39,170
+6 and 7 then add بعدين اجمعهم خليني
+
+305
+00:40:39,170 --> 00:40:43,610
+اربع احسس طريقة اربع يعني هذا هتصير R4 Omega 4
+
+306
+00:40:43,610 --> 00:40:49,570
+هتصير R4 تربيع Omega 4 تربيع
+
+307
+00:40:51,730 --> 00:41:05,650
+فى sin تربيع theta 4 زاد R4 omega 4 cosine تربيع
+
+308
+00:41:05,650 --> 00:41:17,390
+theta 4 هتساوي هربي الطرف هذا هتكون R2 omega 2
+
+309
+00:41:17,390 --> 00:41:18,410
+تربيع
+
+310
+00:41:20,830 --> 00:41:27,570
+Sin تربيع Theta Sin تربيع Theta اتنين زاد R اتنين
+
+311
+00:41:27,570 --> 00:41:35,030
+تربيع Omega اتنين تربيع Cos تربيع Theta اتنين زاد
+
+312
+00:41:35,030 --> 00:41:44,630
+R تلاتة تربيع Omega تلاتة تربيع Sin تربيع Theta
+
+313
+00:41:44,630 --> 00:41:50,840
+تلاتة زاد R تلاتة تربيعوميجا تلاتة تربية كوساين
+
+314
+00:41:50,840 --> 00:41:58,380
+تربية تيتا تلاتة زائد
+
+315
+00:41:58,380 --> 00:42:02,820
+اتنين اتنين
+
+316
+00:42:02,820 --> 00:42:14,180
+R اتنين اوميجا اتنين اوميجا
+
+317
+00:42:14,180 --> 00:42:26,330
+اتنين R اتنين اوميجا اتنينR ثلاثة Omega ثلاثة Sine
+
+318
+00:42:26,330 --> 00:42:39,130
+ثتا اتنين Sine ثتا اتنين Sine ثتا تلاتة زاد اتنين
+
+319
+00:42:39,130 --> 00:42:43,490
+R اتنين Omega اتنين R تلاتة Omega تلاتة
+
+320
+00:42:45,740 --> 00:42:55,920
+cos θ2 cos θ3 خلّين نبسط هذا ال term الأولاني
+
+321
+00:42:55,920 --> 00:43:00,340
+هيكون خطعة مشترك R4 Omega 4 تربيع زاد يعني هذا
+
+322
+00:43:00,340 --> 00:43:09,760
+هيكون هذا هسير R4 تربيع Omega 4 تربيع هيساوي هدول
+
+323
+00:43:09,760 --> 00:43:10,960
+ال two terms مع بعض
+
+324
+00:43:16,300 --> 00:43:19,000
+لأن صين تربيع زاد تكون صين تربيع واحد هتكون سواء R
+
+325
+00:43:19,000 --> 00:43:27,900
+تنين تربيع Omega تنين تربيع هقول التنين مع بعض زاد
+
+326
+00:43:27,900 --> 00:43:38,120
+R تلاتة تربيع Omega تلاتة تربيع زاد بدي اخد عامل
+
+327
+00:43:38,120 --> 00:43:42,540
+شراكتين R تنين Omega تنين
+
+328
+00:43:45,260 --> 00:43:52,880
+R ثلاثة Omega ثلاثة في Cos
+
+329
+00:43:52,880 --> 00:44:04,500
+θ تنين Cos θ تلاتة زائد Sin θ تنين Sin θ تلاتة
+
+330
+00:44:16,280 --> 00:44:21,260
+احنا .. لاحظوا في علنا خطأ هين اكتشفنا اذا بالربع
+
+331
+00:44:21,260 --> 00:44:25,000
+بتضالها omega تربية ماحلتش معناته هذا .. بده احكي
+
+332
+00:44:25,000 --> 00:44:32,420
+عنه هذا هذا this
+
+333
+00:44:32,420 --> 00:44:43,420
+method this method will not work ليش؟
+
+334
+00:44:43,420 --> 00:44:49,260
+لأنهفي we have still عندنا omega 3 و omega 4 موجود
+
+335
+00:44:49,260 --> 00:44:53,220
+في المعادل معناته أحسن اشي ان اقسم 6 على 7 لما
+
+336
+00:44:53,220 --> 00:45:00,340
+اقسم 6 على 7 بيصير اندي بتروح R4 مع R4 omega 4 مع
+
+337
+00:45:00,340 --> 00:45:07,180
+omega 4 بيصير اندي tan theta 4 tan theta
+
+338
+00:45:07,180 --> 00:45:12,220
+4 بتساوي R2
+
+339
+00:45:14,340 --> 00:45:23,260
+وميجا اتنين ساين تيتا اتنين زاد R تلاتة اوميجا
+
+340
+00:45:23,260 --> 00:45:33,080
+تلاتة ساين تيتا تلاتة على R
+
+341
+00:45:33,080 --> 00:45:42,900
+اتنين اوميجا اتنين كوساين تيتا اتنين زاد R تلاتة
+
+342
+00:45:43,920 --> 00:45:56,400
+وميجا تلاتة cosine تيتا تلاتة اتطلع
+
+343
+00:45:56,400 --> 00:46:02,540
+في المعادلة انا عندي R اتنين و R تلاتة ووميجا
+
+344
+00:46:02,540 --> 00:46:06,820
+اتنين ووميجا اتنين يعني كله معروف معادة اميجا
+
+345
+00:46:06,820 --> 00:46:14,580
+تلاتة خلنا نسمي هذه المعادلة رقم تمانيةطبعا هذه it
+
+346
+00:46:14,580 --> 00:46:19,440
+is nonlinear equation معناه I will I have to solve
+
+347
+00:46:19,440 --> 00:46:27,280
+it for omega تلاتة solve equation
+
+348
+00:46:27,280 --> 00:46:32,620
+تمانية for
+
+349
+00:46:34,770 --> 00:46:39,910
+وميجا تلاتة ممكن تستخدمه اللي هو mathematical
+
+350
+00:46:39,910 --> 00:46:45,510
+software زي MATLAB او MABEL او Mathematica او
+
+351
+00:46:45,510 --> 00:46:49,330
+MATCAD يعني في برانج كتير لحل معدلات غير خطية
+
+352
+00:46:49,330 --> 00:46:53,250
+بالشكل هذا طيب
+
+353
+00:46:53,250 --> 00:46:57,050
+so far احنا عملنا اللي هو ما يسمى velocity
+
+354
+00:46:57,050 --> 00:47:02,890
+analysis هنعمل acceleration analysis الآن هنعمل
+
+355
+00:47:02,890 --> 00:47:03,730
+acceleration analysis
+
+356
+00:47:12,940 --> 00:47:19,080
+الان صار معروف ان لحد اللحظة صار معروف ان كل أطوال
+
+357
+00:47:19,080 --> 00:47:24,660
+اللينكات معروفة ال motion بتاع link 2 معروفة theta
+
+358
+00:47:24,660 --> 00:47:29,460
+3 و theta 4 حسبناها من ال displacement analysis و
+
+359
+00:47:29,460 --> 00:47:35,060
+omega 3 و omega 4 حسبناها من ال velocity analysis
+
+360
+00:47:35,060 --> 00:47:37,660
+نعمل acceleration analysis
+
+361
+00:47:52,220 --> 00:47:56,400
+analysis نعمل acceleration analysis هنطلع على
+
+362
+00:47:56,400 --> 00:48:03,680
+معادلة ستة بالدشتق معادلة ستة وسبعة بالنسبة للزمن
+
+363
+00:48:03,680 --> 00:48:12,860
+differentiate equations
+
+364
+00:48:12,860 --> 00:48:29,380
+ستة وسبعةwith respect to time هاخد
+
+365
+00:48:29,380 --> 00:48:37,360
+ستة هكون اندي ناقص R أربعة فيه اللي انا عندي هين
+
+366
+00:48:37,360 --> 00:48:40,860
+two functions omega أربعة صينية أربعة مشتقت الأول
+
+367
+00:48:40,860 --> 00:48:45,400
+في التاني اللي هي d omega أربعة by dt
+
+368
+00:48:48,230 --> 00:48:51,110
+مشتقة الامجا السرعة الزاوية بتعطينا عجل الزاوية
+
+369
+00:48:51,110 --> 00:48:55,910
+يعني هتكون دي
+
+370
+00:48:55,910 --> 00:49:05,150
+امجا اربع by دي تي في cosine
+
+371
+00:49:05,150 --> 00:49:13,770
+ثيتا اربع زائد الاول مشتقة التانية امجا اربع في
+
+372
+00:49:13,770 --> 00:49:26,490
+cosine ثيتا اربعD θ اربعة by DT بتساوي R
+
+373
+00:49:26,490 --> 00:49:30,890
+اتنين في
+
+374
+00:49:30,890 --> 00:49:49,210
+D Omega اتنينby dt sin θ2 زائد omega 2 في cos θ2
+
+375
+00:49:49,210 --> 00:49:57,430
+في dθ2 by dt زائد
+
+376
+00:49:57,430 --> 00:50:02,790
+R3 في
+
+377
+00:50:02,790 --> 00:50:15,160
+d omega 3by dt sin θ3 ز دي
+
+378
+00:50:15,160 --> 00:50:29,190
+omega نئ ز omega 3 cos θ3 d omega 3 d θ3 by dtهذا
+
+379
+00:50:29,190 --> 00:50:34,070
+اشتقاق المعادلة هذا اشتقاق المعادلة 6 اشتقاق
+
+380
+00:50:34,070 --> 00:50:40,250
+المعادلة 7 هيكون minus R4
+
+381
+00:50:40,250 --> 00:50:48,850
+في مشتقة ال Omega اللي هي D Omega 4 by DT زاد
+
+382
+00:50:48,850 --> 00:50:55,250
+Omega 4 مشتقة ال cosine اللي هي minus Omega 4 Sine
+
+383
+00:50:55,250 --> 00:51:08,590
+Theta 4D θ اربع by DT بتساوي R
+
+384
+00:51:08,590 --> 00:51:12,270
+اتنين في
+
+385
+00:51:12,270 --> 00:51:21,670
+D Omega اتنين by DT Cos أنا هنا غلطان
+
+386
+00:51:25,290 --> 00:51:34,510
+يعني دي cosine theta اربع minus omega اربع sine
+
+387
+00:51:34,510 --> 00:51:45,910
+theta اربع d theta اربع by dt يعني دي omega اتنين
+
+388
+00:51:45,910 --> 00:51:54,210
+by dt في cosine theta اتنين minus omega اتنين في
+
+389
+00:51:54,210 --> 00:52:15,640
+sineθ2 في dθ2 by dt زائد R3 في dω3 by dt في cos θ3
+
+390
+00:52:15,640 --> 00:52:18,300
+minus ω3
+
+391
+00:52:20,170 --> 00:52:33,970
+فى sin θ تلاتة فى d θ تلاتة by dt هذا
+
+392
+00:52:33,970 --> 00:52:38,610
+شقاق معادل ست هذا شقاق معادل سبعة الآن احنا بنعرف
+
+393
+00:52:38,610 --> 00:52:46,500
+انه التاليعندي اللي هو دي اميجا اتنين by دي تي
+
+394
+00:52:46,500 --> 00:52:53,020
+بتساوي الف اتنين و دي ثيتا اتنين by دي تي اللي هي
+
+395
+00:52:53,020 --> 00:52:59,840
+اميجا اتنين وعندي دي اميجا تلاتة by دي تي اللي هي
+
+396
+00:52:59,840 --> 00:53:04,960
+الف تلاتة العجل الزاوية و دي ثيتا تلاتة by دي تي
+
+397
+00:53:04,960 --> 00:53:12,360
+اللي هي اميجا تلاتةو D Omega 4 by D T اللي هي
+
+398
+00:53:12,360 --> 00:53:25,000
+Alpha 4 و D Theta 4 by D T اللي هي Omega 4 انعوض
+
+399
+00:53:25,000 --> 00:53:35,180
+هنا انبسط
+
+400
+00:53:35,180 --> 00:53:36,940
+حسيني Minus R 4
+
+401
+00:53:42,560 --> 00:53:56,760
+فى الف أربعة صين ثيتا أربعة زاد أميجا أربعة تربيع
+
+402
+00:53:56,760 --> 00:54:13,060
+كوصين ثيتا أربعة بتستاوى R اتنين فى الف اتنينSin
+
+403
+00:54:13,060 --> 00:54:21,840
+θ2 زاد ω2 تربية Cos
+
+404
+00:54:21,840 --> 00:54:24,860
+θ2
+
+405
+00:54:24,860 --> 00:54:30,600
+زاد R3
+
+406
+00:54:30,600 --> 00:54:34,380
+R3
+
+407
+00:54:34,380 --> 00:54:50,320
+في Alpha 3Sin θ تلاتة زاد Omega تلاتة تربيع Cos θ
+
+408
+00:54:50,320 --> 00:55:03,780
+تلاتة كمان
+
+409
+00:55:03,780 --> 00:55:11,830
+مرةالمعادة الـ minus R4 في الف أربعة صين ثيتا صين
+
+410
+00:55:11,830 --> 00:55:15,830
+ثيتا أربعة بذلك مجرد هيكو صين ثيتا أربعة بيستوي R2
+
+411
+00:55:15,830 --> 00:55:23,650
+الف اتنين صين كوسين صين كوسين هذه هسميها معادلة
+
+412
+00:55:23,650 --> 00:55:27,550
+التسعة معادة
+
+413
+00:55:27,550 --> 00:55:32,570
+العشرة اللي هي هذه هيكون ال minus R4
+
+414
+00:55:34,990 --> 00:55:44,210
+في Alpha أربعة Cos Theta أربعة Minus Omega أربعة
+
+415
+00:55:44,210 --> 00:55:56,330
+تربية Sin
+
+416
+00:55:56,330 --> 00:56:01,290
+Theta أربعة بتساوي
+
+417
+00:56:01,290 --> 00:56:09,890
+R اتنينفي الف اتنين cosine
+
+418
+00:56:09,890 --> 00:56:20,430
+theta اتنين minus omega اتنين تربيع sine theta
+
+419
+00:56:20,430 --> 00:56:32,170
+اتنين زائد R تلاتة في الف تلاتة cosine theta تلاتة
+
+420
+00:56:33,530 --> 00:56:43,650
+minus omega تلاتة تربية sin theta تلاتة هذه
+
+421
+00:56:43,650 --> 00:56:53,530
+معادلة رقم عشرة الان
+
+422
+00:56:53,530 --> 00:56:57,670
+اتطلع في المعادلة التاسعة و عشرة عند R اتنين و R
+
+423
+00:56:57,670 --> 00:57:02,020
+تلاتة و R أربعة هي أطوال ال links معروفةحركة ال
+
+424
+00:57:02,020 --> 00:57:09,000
+link 2 معروفة يعني theta 2 معروفة already احنا
+
+425
+00:57:09,000 --> 00:57:13,440
+حسبنا theta 3 و theta 4 معروفين theta 3 و theta 4
+
+426
+00:57:13,440 --> 00:57:16,600
+معناته صاروا و already حسبنا من ال velocity
+
+427
+00:57:16,600 --> 00:57:21,300
+analysis omega 3 و omega 4 معناته اللي عندهين
+
+428
+00:57:21,300 --> 00:57:29,140
+مجهولين اللي هى alpha 3 و alpha 4 الآن هنحكي
+
+429
+00:57:29,140 --> 00:57:30,040
+التالي معناته
+
+430
+00:57:34,620 --> 00:57:41,420
+solve solve تسعة
+
+431
+00:57:41,420 --> 00:57:52,260
+وعشرة four الف
+
+432
+00:57:52,260 --> 00:58:01,300
+تلاتة and الف أربعة طيب
+
+433
+00:58:06,150 --> 00:58:10,590
+طبعا هي انبينة معقدة بس هي الصحية طريقة بسيطة جدا
+
+434
+00:58:10,590 --> 00:58:14,730
+و فعالة اذا انا بدى ابرمج عملية الحساب يعني بدى
+
+435
+00:58:14,730 --> 00:58:18,710
+اعملها برنامج على الكمبيوتر سواء ماتلاب اتماتيكا
+
+436
+00:58:18,710 --> 00:58:25,170
+مابل او c++ او جافة whatever ال softwareبرمجتها
+
+437
+00:58:25,170 --> 00:58:31,010
+سهلة جدا لكن كنت أنتبه لل .. لل .. لل angular
+
+438
+00:58:31,010 --> 00:58:37,670
+notation دايما بحط في ال tail بتاع ال vector بتاع
+
+439
+00:58:37,670 --> 00:58:43,050
+ال link بحط local coordinate system والزوايا تقاس
+
+440
+00:58:43,050 --> 00:58:49,450
+من ال X X axisوبندور بعكس عقارب الساعة لحد ما نصل
+
+441
+00:58:49,450 --> 00:58:53,510
+ال vector يعني مثلا هاي تيتا اتنين هاي ال X هاي
+
+442
+00:58:53,510 --> 00:58:57,250
+تيتا اتنين تيتا ثالث هاي ال X تيتا اربعة هاي ال X
+
+443
+00:58:57,250 --> 00:59:10,410
+بلف لحد ما اصل تيتا اربعة طبعا
+
+444
+00:59:10,410 --> 00:59:16,800
+لما انتحلوها على الحسوب رياضياهتطلع أكتر من
+
+445
+00:59:16,800 --> 00:59:20,220
+solution جربوا حلوها على الكمبيوتر هيطلع أكتر من
+
+446
+00:59:20,220 --> 00:59:28,160
+solution لإنه عندي sine و cosine ال .. ال .. ال
+
+447
+00:59:28,160 --> 00:59:30,600
+sine مثلا بتكون موجبة في الربع الأول و الربع
+
+448
+00:59:30,600 --> 00:59:34,080
+التاني هي .. هي .. هي .. هي عندي حلين ال sine
+
+449
+00:59:34,080 --> 00:59:38,960
+بتكون سالبة في الربع التالت و الرابعال cosine
+
+450
+00:59:38,960 --> 00:59:43,680
+بتكون موجبة في الربع الأول و الرابع الرابع و بتكون
+
+451
+00:59:43,680 --> 00:59:50,120
+سالبة في الربع التاني و التالت التان
+
+452
+00:59:50,120 --> 00:59:54,140
+بتكون موجبة في الربع الأول و الرابع التالت و سالبة
+
+453
+00:59:54,140 --> 00:59:56,660
+في الربع التاني و الرابع الرابع
+
+454
+00:59:59,410 --> 01:00:03,710
+طيب هذا هو ال complex number analysis لو انا بدى
+
+455
+01:00:03,710 --> 01:00:07,310
+اعمل .. يعني خليني اعمل كل startup ل Slider Crank
+
+456
+01:00:07,310 --> 01:00:09,610
+Mechanism نعملها complex number analysis بنفس
+
+457
+01:00:09,610 --> 01:00:11,530
+الطريقة .. همسح اللوح بس
+
+458
+01:00:46,420 --> 01:00:49,760
+اللي هو عندي slider crank mechanism اللي هي بشكلها
+
+459
+01:00:49,760 --> 01:01:01,160
+بيجي عندي crank عندي
+
+460
+01:01:01,160 --> 01:01:05,800
+connecting rod عندي
+
+461
+01:01:05,800 --> 01:01:12,200
+slider خلنا نسمي هذه A B C
+
+462
+01:01:14,850 --> 01:01:19,710
+الأرض link واحد ال
+
+463
+01:01:19,710 --> 01:01:26,670
+crank link اتنين ال connecting rod link رقم تلاتة
+
+464
+01:01:26,670 --> 01:01:36,290
+ال slider link رقم اربعة اذا
+
+465
+01:01:36,290 --> 01:01:38,830
+بتدحل باستخدام ال complex number analysis
+
+466
+01:01:42,070 --> 01:01:53,130
+بدي اعرف define ال vector R2 هذا
+
+467
+01:01:53,130 --> 01:02:03,350
+ال R2 وهي ال local X تبعه وال Y هذا الزاوية θتا
+
+468
+01:02:03,350 --> 01:02:08,730
+اتنين وال vector تعلين تلاتة
+
+469
+01:02:14,390 --> 01:02:24,230
+هذا R تلاتة هاي ال X ال local X وهي ال local Y و
+
+470
+01:02:24,230 --> 01:02:32,730
+ال angle θ تلاتة هذه ال θ تلاتة
+
+471
+01:02:32,730 --> 01:02:36,210
+المرة
+
+472
+01:02:36,210 --> 01:02:39,530
+انا هضلني ماشي لحد يعني اندي هذه رايحك هيك وهذه
+
+473
+01:02:39,530 --> 01:02:40,210
+هتكون ايش
+
+474
+01:02:47,600 --> 01:02:51,980
+هذه R1 لاحظوا
+
+475
+01:02:51,980 --> 01:02:57,640
+θ1 الآن مش سفر لأن هاي ال X ال local X هاي ال
+
+476
+01:02:57,640 --> 01:03:02,800
+local X هاي ال local Y الثتا واحد هاي الثتا واحد
+
+477
+01:03:02,800 --> 01:03:11,220
+الثتا واحد ايش تساوي؟ مية و تمانين درجة مش سفر طيب
+
+478
+01:03:11,220 --> 01:03:15,740
+ك vectors و هيكون عندي R1
+
+479
+01:03:18,800 --> 01:03:30,040
+R2 زاد R3 زاد R1 بالثورة سفر لأنه بتسكر ال polygon
+
+480
+01:03:30,040 --> 01:03:38,780
+بتسكر باتجاه عقارب الساعة زي
+
+481
+01:03:38,780 --> 01:03:47,370
+السابق R1 هتكون R1 exponential I theta 1و R اتنين
+
+482
+01:03:47,370 --> 01:03:53,030
+عبارة عن R اتنين exponential I theta اتنين و R
+
+483
+01:03:53,030 --> 01:04:02,270
+تلاتة R تلاتة exponential I theta تلاتة
+
+484
+01:04:02,270 --> 01:04:05,610
+لحظة
+
+485
+01:04:05,610 --> 01:04:10,790
+هذه .. هذه .. هذه .. هذه R .. هذه عندك .. هذه مش R
+
+486
+01:04:10,790 --> 01:04:16,500
+واحد هذه .. هذه R أربعةهذه R أربعة هكون عنده يعني
+
+487
+01:04:16,500 --> 01:04:27,800
+مصحح زائد R أربعة هي R أربعة وهي R أربعة يعني هكون
+
+488
+01:04:27,800 --> 01:04:40,480
+عنده R اتنين exponential I theta اتنينزائد R ثلاثة
+
+489
+01:04:40,480 --> 01:04:47,920
+exponential I ثتا ثلاثة زائد R أربعة exponential I
+
+490
+01:04:47,920 --> 01:04:54,720
+ثتا أربعة بساوي سفر يعني
+
+491
+01:04:54,720 --> 01:04:56,860
+هذا هيكون ال real part و ليس ال general part ال
+
+492
+01:04:56,860 --> 01:05:06,720
+real part هيكون R اتنين cosine ثتا اتنين زائدR
+
+493
+01:05:06,720 --> 01:05:14,620
+تلاتة Cos θ تلاتة زاد R أربعة Cos θ أربعة بساوة
+
+494
+01:05:14,620 --> 01:05:18,440
+سفر احنا
+
+495
+01:05:18,440 --> 01:05:21,620
+عارفين ال θ أربعة هذا ال θ أربعة مش تتا و هات تتا
+
+496
+01:05:21,620 --> 01:05:25,000
+اربعة سمية وانت مانعته cosine هاي ال cosine ال
+
+497
+01:05:25,000 --> 01:05:27,320
+sine ال cosine هاي ال cosine
+
+498
+01:05:31,000 --> 01:05:38,180
+الكوصين ال 180 هي سفر تسعين مية و تمانين ال كوصين
+
+499
+01:05:38,180 --> 01:05:42,460
+ال مية و تمانين بالساوي سالب واحد يعني هكون دي R
+
+500
+01:05:42,460 --> 01:05:50,180
+اتنين كوصين ثيتا اتنين زاد R تلاتة كوصين ثيتا
+
+501
+01:05:50,180 --> 01:05:57,740
+تلاتة minus R اربعة بالساوي سفر
+
+502
+01:05:59,720 --> 01:06:10,000
+يعني انا هسير ان دي R4 بيساوي R2 Cos θ2 زاد R3 Cos
+
+503
+01:06:10,000 --> 01:06:15,720
+θ3 هذا معادلة واحد هذا ال real ال imaginary
+
+504
+01:06:15,720 --> 01:06:19,500
+المعادلة
+
+505
+01:06:19,500 --> 01:06:32,700
+هذه هتكون R2 Sin θ2 زاد R3 Sin θ3زاد R4 Sine Theta
+
+506
+01:06:32,700 --> 01:06:37,440
+4 بالساوية سفر هذا طبعا ليش حيكون ساوية سفر لو
+
+507
+01:06:37,440 --> 01:06:40,380
+تيتا اربعة و مية و اتنين ال Sine مية و اتنين
+
+508
+01:06:40,380 --> 01:06:49,220
+بالساوية سفر معناته R2 Sine Theta 2 زاد R3 Sine
+
+509
+01:06:49,220 --> 01:06:53,720
+Theta 3 بالساوية سفر هذه معادلة رقم 2
+
+510
+01:07:15,980 --> 01:07:19,460
+أنا حيكون معروف عندى ال motion بتاعة الكراينك
+
+511
+01:07:19,460 --> 01:07:25,560
+بتكون معروف given R2
+
+512
+01:07:25,560 --> 01:07:38,500
+أطول الانكاتو R3 أو θ2 find θ3
+
+513
+01:07:38,500 --> 01:07:42,560
+find
+
+514
+01:07:42,560 --> 01:07:50,210
+R4and لأنه قرروا متغيرة بيفتحوا و ضموا and ثيتا
+
+515
+01:07:50,210 --> 01:08:08,850
+تلاتة من معادل اتنين from two
+
+516
+01:08:08,850 --> 01:08:14,450
+الطلاق اللي بفضل اكتب المعادلات عن نحو التالي لسبب
+
+517
+01:08:16,440 --> 01:08:23,460
+لأن هحكي R تلاتة من واحد من واحد R تلاتة R تلاتة
+
+518
+01:08:23,460 --> 01:08:29,120
+cosine theta تلاتة بتساوي
+
+519
+01:08:29,120 --> 01:08:39,300
+R أربعة minus R اتنين cosine theta اتنين من هذه R
+
+520
+01:08:39,300 --> 01:08:50,200
+تلاتة او minus R تلاتة sin theta تلاتةبالساوية R2
+
+521
+01:08:50,200 --> 01:08:56,160
+Sine Theta 2 و
+
+522
+01:08:56,160 --> 01:09:03,120
+Square
+
+523
+01:09:03,120 --> 01:09:07,840
+و أجمعهم Square و
+
+524
+01:09:07,840 --> 01:09:15,020
+Square و أجمع هتكون عندي R تلاتة تربيعR cos تربيع
+
+525
+01:09:15,020 --> 01:09:22,680
+θ تلاتة زاد R تلاتة تربيع sin θ تلاتة تربيع هتساوي
+
+526
+01:09:22,680 --> 01:09:29,960
+R اتنين تربيع cos تربيع θ تلاتة اتنين زاد R اتنين
+
+527
+01:09:29,960 --> 01:09:37,940
+تربيع sin تربيع θ تلاتة اتنين زاد R اربعة تربيع
+
+528
+01:09:37,940 --> 01:09:43,240
+minus اتنين R اتنين
+
+529
+01:09:46,170 --> 01:09:57,230
+R4 Cos θ2 هذا سيصفى هذا R3 تربيع Cos تربيع زد R3
+
+530
+01:09:57,230 --> 01:10:02,970
+تربيع Sin تربيع R3 تربيع سيصفى هذا R2 تربيع Cos
+
+531
+01:10:02,970 --> 01:10:10,970
+تربيع زد R2 تربيع Sin تربيع عبارة عن R2 تربيع R2
+
+532
+01:10:10,970 --> 01:10:11,570
+تربيع
+
+533
+01:10:14,380 --> 01:10:23,380
+زاد R أربعة تربية minus اتنين R اتنين R أربعة
+
+534
+01:10:23,380 --> 01:10:27,320
+cosine theta اتنين خلّيني ارتب المعادلة حسيب ان
+
+535
+01:10:27,320 --> 01:10:35,880
+عندي R أربعة تربية R أربعة تربية ناقص اتنين R
+
+536
+01:10:35,880 --> 01:10:42,340
+اتنين R اتنين cosine theta اتنين
+
+537
+01:10:45,140 --> 01:10:46,440
+R4
+
+538
+01:10:51,620 --> 01:10:55,540
+يعني أخدت ال term هذا و ال term هذا زاد R اتنين
+
+539
+01:10:55,540 --> 01:11:02,320
+تربيع minus R تلاتة تربيع بالثواب سفر يعني هذه
+
+540
+01:11:02,320 --> 01:11:09,620
+تقريبا على شكل صيغة المعدلة AX تربيع زاد BX زاد C
+
+541
+01:11:09,620 --> 01:11:12,940
+بالثواب سفر الروس في الحلقة بتكون X والثواب minus
+
+542
+01:11:12,940 --> 01:11:18,340
+B زاد او ناقص الجزير التربيعي ل B تربيع minus 4AC
+
+543
+01:11:19,840 --> 01:11:25,460
+على اتنين ايه يعني معناته ال R اربعة ال R اربعة
+
+544
+01:11:25,460 --> 01:11:34,600
+هتساوي ال B minus B هتكون اتنين R اتنين cosine
+
+545
+01:11:34,600 --> 01:11:41,400
+theta اتنين زاد او ناقص الجزر التربيعي ال B تربيعي
+
+546
+01:11:41,400 --> 01:11:50,530
+اللي هادر اربعةR2 تربيع Cos تربيع ثيتا اتنين minus
+
+547
+01:11:50,530 --> 01:12:03,550
+أربعة A1 أربعة في A في C minus أربعة في R2 تربيع
+
+548
+01:12:03,550 --> 01:12:10,010
+minus R تلاتة تربيع على
+
+549
+01:12:13,030 --> 01:12:18,730
+اتنين لاحظوا دايما او بده احكي يعني most commonly
+
+550
+01:12:18,730 --> 01:12:26,330
+يعني R2 R3 اكبر من R2 R3 اكبر من R2 معناته هذا ال
+
+551
+01:12:26,330 --> 01:12:31,670
+term هيكون موجب معناته هذا ال term هيكون هذا ايش؟
+
+552
+01:12:31,670 --> 01:12:33,890
+هذا ال term اكبر من هذا ال term معناته الإشارة
+
+553
+01:12:33,890 --> 01:12:37,270
+السالة مرفوضة الإشارة السالة هتكون مرفوضة هذه
+
+554
+01:12:37,270 --> 01:12:49,680
+هتصبح R4 هتكون ساوىR2 cos θ2 زاد جزر التربيع
+
+555
+01:12:49,680 --> 01:13:02,920
+لاربعة R2 تربيع cos تربيع θ2 زاد اربعة في R3 تربيع
+
+556
+01:13:02,920 --> 01:13:09,140
+ماقص R2 تربيع كله علياش على اتنين
+
+557
+01:13:13,690 --> 01:13:20,030
+كله على اتنين طيب انا ليش عملت .. يبدو انا كالكعت
+
+558
+01:13:20,030 --> 01:13:23,010
+الأمور بس لا انا ما كالكعتاش لسبب بسيط لو روحت
+
+559
+01:13:23,010 --> 01:13:33,590
+حكيت انا انه حكيت انه استخدمت المعادلة هذه يعني
+
+560
+01:13:33,590 --> 01:13:40,790
+ب سي برضه اقسم يعنيلازم أعملها على شكل صيغة tan
+
+561
+01:13:40,790 --> 01:13:45,590
+الأن بتاخد هذه أقسم هذه على هذه بيصير أن دي minus
+
+562
+01:13:45,590 --> 01:13:58,430
+R تلاتة tan theta تلاتة بتساوي R
+
+563
+01:13:58,430 --> 01:14:02,650
+اتنين sine
+
+564
+01:14:02,650 --> 01:14:05,290
+theta اتنين
+
+565
+01:14:07,070 --> 01:14:14,790
+على R4 minus
+
+566
+01:14:14,790 --> 01:14:28,990
+R2 minus R2 cosine theta 2 ومن
+
+567
+01:14:28,990 --> 01:14:35,030
+هنا بحسب tan theta 3 tan theta
+
+568
+01:14:35,030 --> 01:14:35,490
+3
+
+569
+01:14:41,810 --> 01:14:47,250
+بالساوية R2 sin
+
+570
+01:14:47,250 --> 01:15:03,050
+θ2 على R3 في R2 cos θ2-R4 يعني
+
+571
+01:15:03,050 --> 01:15:14,440
+انا عرفت R4 وعرفت θ3عرفت R أربعة و Theta تلاتة طيب
+
+572
+01:15:14,440 --> 01:15:19,920
+انتبهوا إذا بتكون تبرمجوها .. لما تبرمجوها بتكون
+
+573
+01:15:19,920 --> 01:15:22,940
+تشوفوا الزوايا make sense ولا does not make sense
+
+574
+01:15:22,940 --> 01:15:28,560
+إيش يعني make sense أو does not make sense يعني ..
+
+575
+01:15:28,560 --> 01:15:32,420
+يعني .. يعني .. بدك .. يعني أنا بفضل إذا بدت برمج
+
+576
+01:15:32,420 --> 01:15:37,430
+على ال math labتكون عملية الحساب مقرونة ب
+
+577
+01:15:37,430 --> 01:15:42,030
+graphical user interface عشان تشوف أوضاع ال
+
+578
+01:15:42,030 --> 01:15:48,270
+mechanism for theta 2 من صفر ل تلت مية و ستين
+
+579
+01:15:48,270 --> 01:15:53,620
+درجة، بتكشف يعطيك position أو وضعية غير منطقيةو
+
+580
+01:15:53,620 --> 01:15:57,800
+سواء حسابات الزوايا فيه زوايا بتكون ال sign بتكون
+
+581
+01:15:57,800 --> 01:16:00,360
+موجودة في الرابع الأول و الرابع التاني ال cosine
+
+582
+01:16:00,360 --> 01:16:03,680
+موجودة في الرابع الأول و الرابع التاني موجودة في
+
+583
+01:16:03,680 --> 01:16:06,860
+الرابع الأول و التالت و ثالث رابع التاني و رابع
+
+584
+01:16:06,860 --> 01:16:10,740
+الرابع هذه بتعمل ممكن تعمل مشاكل في البرمجة يعني
+
+585
+01:16:10,740 --> 01:16:14,420
+عندك برمجة تنتبه للتفاصيل هذه طيب احنا بالطريقة
+
+586
+01:16:14,420 --> 01:16:18,340
+هذه حسبنا حسبنا اللي هو عملنا displacement and
+
+587
+01:16:18,340 --> 01:16:20,980
+rotation analysis اللي هنعمل velocity analysis
+
+588
+01:16:20,980 --> 01:16:22,760
+velocity
+
+589
+01:16:29,200 --> 01:16:32,500
+analysis عشان انا في list analysis دي اشتغل
+
+590
+01:16:32,500 --> 01:16:35,780
+المعادلة واحد واتنى بالنسبالي الزمن differentiate
+
+591
+01:16:35,780 --> 01:16:44,440
+differentiate one and two with respect to time
+
+592
+01:16:44,440 --> 01:16:47,660
+المعادلة
+
+593
+01:16:47,660 --> 01:16:52,400
+رقم واحد ار اربعة هذه ثابتة ولا متغيرة؟ متغيرة
+
+594
+01:16:52,400 --> 01:17:03,840
+معناه ان فيش تقاق دي ار اربعةby dt هتساوى minus
+
+595
+01:17:03,840 --> 01:17:11,680
+r2 cosine theta 2 minus r2 sine theta 2 minus r2
+
+596
+01:17:11,680 --> 01:17:22,980
+sine theta 2 d theta 2 by dt minus r3 sine theta 3
+
+597
+01:17:22,980 --> 01:17:31,230
+d theta 3 by dtاحنا بنعرف ان اوميجا اتنين بالساوية
+
+598
+01:17:31,230 --> 01:17:34,930
+دي ثيتا اتنين by دي تي اوميجا اتنين هي السرعة
+
+599
+01:17:34,930 --> 01:17:40,170
+الزاوية لل link اتنين والاوميجا تلاتة بالساوية دي
+
+600
+01:17:40,170 --> 01:17:48,110
+ثيتا تلاتة by دي تي والبلاستي لل slider اللي هو V4
+
+601
+01:17:48,110 --> 01:17:52,730
+بالساوية DR4 by دي تي
+
+602
+01:17:57,800 --> 01:18:05,040
+بتساوي minus R اتنين Omega اتنين Sine ثتا اتنين
+
+603
+01:18:05,040 --> 01:18:13,300
+minus R تلاتة Omega تلاتة Sine ثتا تلاتة هذه
+
+604
+01:18:13,300 --> 01:18:19,940
+معادلة هسميها معادلة رقم تلاتة نشتق معادلة اتنين
+
+605
+01:18:19,940 --> 01:18:32,530
+هكون دي R اتنين Omega اتنين R اتنينcos θ2 dθ2 by
+
+606
+01:18:32,530 --> 01:18:47,330
+dt زائد R3 cos θ3 dθ3 by dt بالساوية صفر هنعمل
+
+607
+01:18:47,330 --> 01:18:57,090
+Simplification هسياندي R2 Omega 2 cos θ2 زائد R3
+
+608
+01:18:58,030 --> 01:19:05,510
+وميجا تلاتة كوصين ثيتا تلاتة بتساوء سفر احنا so
+
+609
+01:19:05,510 --> 01:19:09,770
+far ال motion telling two معروفة يعني R2 معروفة
+
+610
+01:19:09,770 --> 01:19:13,490
+ووميجا تلاتة معروفة وثيتا اتنين معروفة و already
+
+611
+01:19:13,490 --> 01:19:21,310
+حسبنا already حسبنا اللي هو هذا معادل اربع و
+
+612
+01:19:21,310 --> 01:19:27,240
+already حسبنا ثيتا تلاتةمعناة بقدر احسب ايش من
+
+613
+01:19:27,240 --> 01:19:30,820
+معادلة اربعة بممكن احسب omega تلاتة from equation
+
+614
+01:19:30,820 --> 01:19:42,080
+four from four بنحسب omega تلاتة بالسواء minus R
+
+615
+01:19:42,080 --> 01:19:51,060
+اتنين omega اتنين cosine theta اتنين على R تلاتة
+
+616
+01:19:51,060 --> 01:19:58,810
+cosine theta تلاتةخلاص فاسموت معناته و من تلاتة
+
+617
+01:19:58,810 --> 01:20:07,390
+بحسب صورة لل slider V4 from three calculate
+
+618
+01:20:07,390 --> 01:20:12,490
+V4
+
+619
+01:20:12,490 --> 01:20:17,470
+معناته so far أعملنا احناplicity ..plicity
+
+620
+01:20:17,470 --> 01:20:18,010
+analysis
+
+621
+01:20:27,270 --> 01:20:39,230
+اللي انا هعمل acceleration analysis عشان
+
+622
+01:20:39,230 --> 01:20:41,530
+ال acceleration analysis اشتغل معادلة 3 و 4
+
+623
+01:20:41,530 --> 01:20:47,170
+بالنسبة للزمن differentiate differentiate three
+
+624
+01:20:47,170 --> 01:20:55,620
+and four with respect to timeاللي هتسيريز و بشتاط
+
+625
+01:20:55,620 --> 01:20:57,720
+معادلة أربعة اشتقاط السرعة بيعطينا ايش
+
+626
+01:20:57,720 --> 01:21:07,040
+acceleration A4 هتساوي minus R2 انا في عندي two
+
+627
+01:21:07,040 --> 01:21:09,600
+functions يعني عندي function omega 2 و function
+
+628
+01:21:09,600 --> 01:21:12,320
+sin 2 يعني هكون مشتقت الأول في التاني ازادي التاني
+
+629
+01:21:12,320 --> 01:21:17,640
+ازادي الأول في مشتقت التاني يعني هكون d omega 2 by
+
+630
+01:21:17,640 --> 01:21:31,690
+dt sin theta 2زاد cosine زاد omega 2 زاد omega 2
+
+631
+01:21:31,690 --> 01:21:44,450
+omega 2 cosine theta 2 في d theta 2 by dt ليها
+
+632
+01:21:44,450 --> 01:21:54,030
+اللي هي ايش ليها minus R 3 minus R 3 فيD Omega 3
+
+633
+01:21:54,030 --> 01:22:08,850
+by D T Sine θ 3 ز Omega 3 Cos θ 3 D θ 3 by D T هذه
+
+634
+01:22:08,850 --> 01:22:19,450
+الأولى المعادلة الأربعة هي R2 في D Omega 2 by D T
+
+635
+01:22:19,450 --> 01:22:29,530
+في Cos θ 2زاد omega minus minus
+
+636
+01:22:29,530 --> 01:22:42,510
+omega 2 في sin theta 2 في d theta 2 by dt زاد r
+
+637
+01:22:42,510 --> 01:23:02,290
+تلاتة في d omega 3 by dtcos θ3-ω3 sin θ3 dθ3 by dt
+
+638
+01:23:02,290 --> 01:23:08,790
+انبسط المعادلتين هذه الحسين عن دي a4
+
+639
+01:23:08,790 --> 01:23:11,850
+بتساوي
+
+640
+01:23:11,850 --> 01:23:16,750
+minus r2 احنا d omega by dt عبارة عن angular
+
+641
+01:23:16,750 --> 01:23:24,170
+acceleration هتكون minus r2 في الف اتنينSin θ2
+
+642
+01:23:24,170 --> 01:23:31,830
+زائد Omega 2 تربيع Cos
+
+643
+01:23:31,830 --> 01:23:34,870
+θ2
+
+644
+01:23:34,870 --> 01:23:38,210
+minus
+
+645
+01:23:38,210 --> 01:23:53,200
+R3 في Alpha 3 Sin θ3 زائد Omega 3 تربيع Cos θ3هذه
+
+646
+01:23:53,200 --> 01:24:00,000
+المعادلة الخامسة المعادلة التانية هكون عندي R
+
+647
+01:24:00,000 --> 01:24:08,200
+اتنين في Alpha اتنين Cos Theta اتنين minus Omega
+
+648
+01:24:08,200 --> 01:24:17,110
+اتنين تربيع Sin Theta اتنين زائد R تلاتةفي alpha
+
+649
+01:24:17,110 --> 01:24:25,050
+تلاتة cos θ تلاتة minus omega تلاتة تربيع sin θ
+
+650
+01:24:25,050 --> 01:24:31,350
+تلاتة كل هذا بيستوي ايش؟ zero هذا المعادل رقم ستة
+
+651
+01:24:31,350 --> 01:24:38,070
+هذا المعادل رقم ستة الان احنا بنعرف أطول ال links
+
+652
+01:24:38,070 --> 01:24:44,660
+R2 وR3وعارفين ال motion بتاعة الكرانك يعني تيتا 2
+
+653
+01:24:44,660 --> 01:24:48,160
+معروفة و أميجا 2 معروفة و ألفا 2 معروفة و already
+
+654
+01:24:48,160 --> 01:24:55,320
+حسبنا تيتا 3 و حسبنا أميجا 3 we solve for ألفا 3
+
+655
+01:24:55,320 --> 01:24:56,520
+and A4
+
+656
+01:25:00,570 --> 01:25:09,570
+خمسة and ستة four ال acceleration أستخدت ال A4 و
+
+657
+01:25:09,570 --> 01:25:15,110
+ألفة تلاتة اللي هي ال angular acceleration لل
+
+658
+01:25:15,110 --> 01:25:20,970
+connecting route الآن
+
+659
+01:25:22,620 --> 01:25:26,620
+احنا بالطريقة هذه غطينا ال .. اللي هو ال .. ال
+
+660
+01:25:26,620 --> 01:25:30,740
+kinematic analysis of .. kinematic analysis of
+
+661
+01:25:30,740 --> 01:25:35,000
+mechanisms using complex number طبعا اللي فيها
+
+662
+01:25:35,000 --> 01:25:40,000
+تفاصيل كتير بدلاك تكون يعني كويس في ال basic
+
+663
+01:25:40,000 --> 01:25:42,200
+calculus في ال basic math
+
+664
+01:25:45,150 --> 01:25:49,370
+الان ال trick في ال .. في الطريقة هذه في البرمجة و
+
+665
+01:25:49,370 --> 01:25:54,110
+بدك تنتبه انه ماتعطيش orientation او position غلط
+
+666
+01:25:54,110 --> 01:25:58,610
+نتيجة اللي هو الحسابات اللي ممكن تقع فيها اللي هو
+
+667
+01:25:58,610 --> 01:26:01,810
+حسابات ال sine و ال cosine و التان انت في الرابع
+
+668
+01:26:01,810 --> 01:26:03,870
+الأول ولا الرابع التان ولا الرابع التالت ولا
+
+669
+01:26:03,870 --> 01:26:07,780
+الرابع الرابع بذكركوا كمان مرةال .. ال .. ال sign
+
+670
+01:26:07,780 --> 01:26:11,140
+بتكون موجهة في الرابع الأول و .. و التاني ال
+
+671
+01:26:11,140 --> 01:26:14,540
+cosine بتكون موجهة في الرابع الأول و الرابع التام
+
+672
+01:26:14,540 --> 01:26:17,740
+بتكون موجهة في الرابع الأول و التالت فمهم كتير
+
+673
+01:26:17,740 --> 01:26:22,360
+كتير لما تبرمجوه تنتبهوا ل .. ل .. لشكل الميكانزم
+
+674
+01:26:22,360 --> 01:26:25,320
+انه يعني does .. does make .. does make sense ده
+
+675
+01:26:25,320 --> 01:26:28,680
+هتختار اللي هو ال .. ال .. ال .. ال correct .. ال
+
+676
+01:26:28,680 --> 01:26:31,560
+correct و اللي هو realistic solution
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/a4OTCjqIibU_raw.json b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/a4OTCjqIibU_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..18f2dae799059db3e0b7dfa61c29e73b554af60e
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/a4OTCjqIibU_raw.json
@@ -0,0 +1 @@
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30539, "start": 277.71, "end": 305.39, "text": "ك vector بيستوي قيمة ال vector R exponential E to the power I theta طبعا ال E I theta احنا عارفين ان ال E I theta فيها two parts واحدة بتجارية ال cosine theta واحدة بتجارية ال imaginary sin theta", "tokens": [4117, 8062, 4724, 1829, 14851, 45865, 12174, 32640, 3660, 2423, 8062, 497, 21510, 462, 281, 264, 1347, 286, 9725, 23032, 3555, 3615, 995, 2423, 462, 286, 9725, 1975, 5016, 8315, 6225, 9640, 5172, 9957, 16472, 2423, 462, 286, 9725, 8978, 11296, 732, 3166, 36764, 24401, 3660, 39894, 7435, 9640, 10632, 2423, 23565, 9725, 36764, 24401, 3660, 39894, 7435, 9640, 10632, 2423, 26164, 3343, 9725], "avg_logprob": -0.28197115384615384, "compression_ratio": 1.5757575757575757, "no_speech_prob": 0.0, "words": [{"start": 277.71, "end": 277.93, "word": "ك", "probability": 0.61669921875}, {"start": 277.93, "end": 278.45, "word": " vector", "probability": 0.412841796875}, {"start": 278.45, "end": 279.65, "word": " بيستوي", "probability": 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22653, 43242, 2113, 568, 39896, 30544, 43242, 1975, 1829, 3224, 22807, 8032, 47302, 2031, 11, 2031, 4032, 288], "avg_logprob": -0.47716346497719103, "compression_ratio": 1.0421052631578946, "no_speech_prob": 0.0, "words": [{"start": 542.2099999999999, "end": 543.17, "word": "define", "probability": 0.621826171875}, {"start": 543.17, "end": 544.13, "word": " a", "probability": 0.92529296875}, {"start": 544.13, "end": 544.59, "word": " local", "probability": 0.85107421875}, {"start": 544.59, "end": 547.49, "word": " coordinate", "probability": 0.81640625}, {"start": 547.49, "end": 552.21, "word": " system", "probability": 0.96826171875}, {"start": 552.21, "end": 557.17, "word": " يعني", "probability": 0.725830078125}, {"start": 557.17, "end": 557.41, "word": " عند", "probability": 0.5771484375}, {"start": 557.41, "end": 557.63, "word": " link", "probability": 0.68603515625}, {"start": 557.63, "end": 557.81, "word": " 2", "probability": 0.45556640625}, {"start": 557.81, "end": 558.13, 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"word": " بالنسبة", "probability": 0.9779052734375}, {"start": 578.16, "end": 578.3, "word": " لل", "probability": 0.51025390625}, {"start": 578.3, "end": 578.5, "word": " X", "probability": 0.77197265625}, {"start": 578.5, "end": 578.82, "word": " small", "probability": 0.775390625}, {"start": 578.82, "end": 578.98, "word": " و", "probability": 0.82666015625}, {"start": 578.98, "end": 579.14, "word": " Y", "probability": 0.537109375}, {"start": 579.14, "end": 579.52, "word": " small", "probability": 0.93212890625}, {"start": 579.52, "end": 579.8, "word": " ممكن", "probability": 0.8642578125}, {"start": 579.8, "end": 580.16, "word": " اعرف", "probability": 0.8958333333333334}, {"start": 580.16, "end": 581.14, "word": " R2", "probability": 0.9072265625}, {"start": 581.14, "end": 582.82, "word": " R2", "probability": 0.823486328125}, {"start": 582.82, "end": 583.38, "word": " ك", "probability": 0.962890625}, {"start": 583.38, "end": 584.62, "word": " vector", "probability": 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"end": 605.34, "word": " X", "probability": 0.8759765625}, {"start": 605.34, "end": 606.7, "word": " وهاي", "probability": 0.712646484375}, {"start": 606.7, "end": 607.08, "word": " Y", "probability": 0.98828125}, {"start": 607.08, "end": 609.32, "word": " لأن", "probability": 0.6497802734375}, {"start": 609.32, "end": 609.68, "word": " R", "probability": 0.955078125}, {"start": 609.68, "end": 610.76, "word": " تلاتة", "probability": 0.976806640625}, {"start": 610.76, "end": 612.8, "word": " هتزاغيها", "probability": 0.6372419084821429}, {"start": 612.8, "end": 616.54, "word": " تيتا", "probability": 0.5565592447916666}, {"start": 616.54, "end": 619.38, "word": " تلاتة", "probability": 0.96484375}, {"start": 619.38, "end": 621.64, "word": " R", "probability": 0.7451171875}, {"start": 621.64, "end": 622.18, "word": " تلاتة", "probability": 0.98828125}, {"start": 622.18, "end": 622.38, "word": " ال", "probability": 0.8271484375}, {"start": 622.38, "end": 622.66, "word": " position", "probability": 0.88671875}, {"start": 622.66, "end": 623.1, "word": " vector", "probability": 0.96044921875}, {"start": 623.1, "end": 623.38, "word": " R", "probability": 0.52392578125}, {"start": 623.38, "end": 624.4, "word": " تلاتة", "probability": 0.9871826171875}, {"start": 624.4, "end": 626.18, "word": " هتساوي", "probability": 0.92490234375}], "temperature": 1.0}, {"id": 21, "seek": 65329, "start": 627.56, "end": 653.3, "text": "R تلاتة كمتها في ال exponential لأ EI ثتا تلاتة طبعا أنا بلف بعكس عقار بالساعة الان link four هعرف احداثيات هاي X small وهاي Y small لان همشي بعكس عقار بالساعة", "tokens": [49, 6055, 1211, 9307, 3660, 9122, 2304, 2655, 11296, 8978, 2423, 21510, 5296, 10721, 462, 40, 38637, 2655, 995, 6055, 1211, 9307, 3660, 23032, 3555, 3615, 995, 41850, 4724, 46538, 4724, 3615, 4117, 3794, 6225, 4587, 9640, 20666, 3794, 995, 27884, 2423, 7649, 2113, 1451, 8032, 3615, 28480, 1975, 24401, 5718, 104, 1829, 9307, 8032, 47302, 1783, 1359, 37037, 47302, 398, 1359, 5296, 7649, 8032, 2304, 8592, 1829, 4724, 3615, 4117, 3794, 6225, 4587, 9640, 20666, 3794, 995, 27884], "avg_logprob": -0.277734375, "compression_ratio": 1.505952380952381, "no_speech_prob": 0.0, "words": [{"start": 627.56, "end": 627.96, "word": "R", "probability": 0.43603515625}, {"start": 627.96, "end": 628.6, "word": " تلاتة", "probability": 0.7957763671875}, {"start": 628.6, "end": 629.48, "word": " كمتها", "probability": 0.8189697265625}, {"start": 629.48, "end": 630.14, "word": " في", "probability": 0.6953125}, {"start": 630.14, "end": 630.22, "word": " ال", "probability": 0.85107421875}, {"start": 630.22, "end": 630.74, "word": " exponential", "probability": 0.1693115234375}, {"start": 630.74, "end": 631.42, "word": " لأ", "probability": 0.6715087890625}, {"start": 631.42, "end": 632.18, "word": " EI", "probability": 0.492431640625}, {"start": 632.18, "end": 632.86, "word": " ثتا", "probability": 0.6806640625}, {"start": 632.86, "end": 633.56, "word": " تلاتة", "probability": 0.95556640625}, {"start": 633.56, "end": 635.94, "word": " طبعا", "probability": 0.943603515625}, {"start": 635.94, "end": 636.06, "word": " أنا", "probability": 0.44677734375}, {"start": 636.06, "end": 636.46, "word": " بلف", "probability": 0.92919921875}, {"start": 636.46, "end": 637.2, "word": " بعكس", "probability": 0.81512451171875}, {"start": 637.2, "end": 637.64, "word": " عقار", "probability": 0.9832356770833334}, {"start": 637.64, "end": 638.24, "word": " بالساعة", "probability": 0.79541015625}, {"start": 638.24, "end": 639.82, "word": " الان", "probability": 0.57147216796875}, {"start": 639.82, "end": 640.46, "word": " link", "probability": 0.7763671875}, {"start": 640.46, "end": 640.96, "word": " four", "probability": 0.47705078125}, {"start": 640.96, "end": 641.62, "word": " هعرف", "probability": 0.9332682291666666}, {"start": 641.62, "end": 643.56, "word": " احداثيات", "probability": 0.8024495442708334}, {"start": 643.56, "end": 646.92, "word": " هاي", "probability": 0.711181640625}, {"start": 646.92, "end": 647.26, "word": " X", "probability": 0.77880859375}, {"start": 647.26, "end": 647.88, "word": " small", "probability": 0.74951171875}, {"start": 647.88, "end": 649.2, "word": " وهاي", "probability": 0.5997314453125}, {"start": 649.2, "end": 649.84, "word": " Y", "probability": 0.974609375}, {"start": 649.84, "end": 650.48, "word": " small", "probability": 0.94091796875}, {"start": 650.48, "end": 651.58, "word": " لان", "probability": 0.487060546875}, {"start": 651.58, "end": 652.02, "word": " همشي", "probability": 0.966064453125}, {"start": 652.02, "end": 652.46, "word": " بعكس", "probability": 0.8878173828125}, {"start": 652.46, "end": 652.78, "word": " عقار", "probability": 0.9969075520833334}, {"start": 652.78, "end": 653.3, "word": " بالساعة", "probability": 0.9598388671875}], "temperature": 1.0}, {"id": 22, "seek": 67888, "start": 656.6, "end": 678.88, "text": "هذا هتكون theta four هتكون دي R أربعة ك vector بس قيمته R أربعة في exponential ل EI theta أربعة", "tokens": [3224, 15730, 8032, 2655, 30544, 9725, 1451, 8032, 2655, 30544, 11778, 1829, 497, 5551, 25513, 27884, 9122, 8062, 4724, 3794, 12174, 32640, 47395, 497, 5551, 25513, 27884, 8978, 21510, 5296, 462, 40, 9725, 5551, 25513, 27884], "avg_logprob": -0.36465370977247086, "compression_ratio": 1.2477064220183487, "no_speech_prob": 0.0, "words": [{"start": 656.6, "end": 656.96, "word": "هذا", "probability": 0.704345703125}, {"start": 656.96, "end": 657.34, "word": " هتكون", "probability": 0.7484537760416666}, {"start": 657.34, "end": 657.9, "word": " theta", "probability": 0.2088623046875}, {"start": 657.9, "end": 660.78, "word": " four", "probability": 0.1866455078125}, {"start": 660.78, "end": 667.56, "word": " هتكون", "probability": 0.9033203125}, {"start": 667.56, "end": 667.84, "word": " دي", "probability": 0.5836181640625}, {"start": 667.84, "end": 668.26, "word": " R", "probability": 0.494873046875}, {"start": 668.26, "end": 668.88, "word": " أربعة", 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"temperature": 1.0}, {"id": 23, "seek": 70772, "start": 683.76, "end": 707.72, "text": "و نفس الشي عندي هاي R واحد و R واحد بتساوي R واحد E I ثتا واحد إلى اللحظة عندي .. عندي .. عندي هاي vector R اتنين R تلاتة R أربعة ماشيين", "tokens": [2407, 8717, 36178, 25124, 1829, 6225, 41260, 1829, 8032, 47302, 497, 36764, 24401, 4032, 497, 36764, 24401, 39894, 3794, 995, 45865, 497, 36764, 24401, 462, 286, 38637, 2655, 995, 36764, 24401, 30731, 13672, 5016, 19913, 3660, 18871, 16254, 4386, 18871, 16254, 4386, 18871, 16254, 8032, 47302, 8062, 497, 1975, 2655, 1863, 9957, 497, 6055, 1211, 9307, 3660, 497, 5551, 25513, 27884, 3714, 33599, 1829, 9957], "avg_logprob": -0.34777462708227563, "compression_ratio": 1.5971223021582734, "no_speech_prob": 0.0, "words": [{"start": 683.76, "end": 683.98, "word": "و", "probability": 0.7265625}, {"start": 683.98, "end": 684.22, "word": " نفس", "probability": 0.890380859375}, {"start": 684.22, "end": 684.46, "word": " الشي", "probability": 0.89013671875}, 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1758.11, "end": 1758.11, "word": " دي", "probability": 0.992431640625}, {"start": 1758.11, "end": 1758.11, "word": " دي", "probability": 0.99267578125}, {"start": 1758.11, "end": 1758.11, "word": " دي", "probability": 0.992919921875}, {"start": 1758.11, "end": 1758.11, "word": " دي", "probability": 0.99267578125}, {"start": 1758.11, "end": 1758.11, "word": " دي", "probability": 0.99267578125}, {"start": 1758.11, "end": 1758.11, "word": " دي", "probability": 0.99267578125}, {"start": 1758.11, "end": 1758.11, "word": " دي", "probability": 0.99267578125}, {"start": 1758.11, "end": 1758.15, "word": " دي", "probability": 0.992431640625}, {"start": 1758.15, "end": 1758.15, "word": " دي", "probability": 0.99267578125}, {"start": 1758.15, "end": 1758.15, "word": " دي", "probability": 0.99267578125}, {"start": 1758.15, "end": 1758.15, "word": " دي", "probability": 0.99267578125}, {"start": 1758.15, "end": 1758.15, "word": " دي", "probability": 0.99267578125}, {"start": 1758.15, "end": 1758.15, "word": " دي", "probability": 0.992919921875}, {"start": 1758.15, "end": 1758.15, "word": " دي", "probability": 0.992431640625}, {"start": 1758.15, "end": 1758.15, "word": " دي", "probability": 0.992919921875}, {"start": 1758.15, "end": 1758.15, "word": " دي", "probability": 0.9931640625}, {"start": 1758.15, "end": 1758.15, "word": " دي", "probability": 0.9931640625}, {"start": 1758.15, "end": 1758.15, "word": " دي", "probability": 0.9931640625}, {"start": 1758.15, "end": 1758.15, "word": " دي", "probability": 0.9931640625}, {"start": 1758.15, "end": 1758.15, "word": " دي", "probability": 0.9931640625}, {"start": 1758.15, "end": 1758.15, "word": " دي", "probability": 0.992919921875}, {"start": 1758.15, "end": 1758.15, "word": " دي", "probability": 0.992919921875}, {"start": 1758.15, "end": 1758.15, "word": " دي", "probability": 0.992919921875}], "temperature": 1.0}, {"id": 60, "seek": 179983, "start": 1772.95, "end": 1799.83, "text": "بنحل طبعا معادلة non-linear بنحل بالنسبة ل .. لثيتا تلاتة solve solve solve خمسة for ثيتا تلاتة بعد أن حل خمسة for ثيتا تلاتة بنعود في", "tokens": [3555, 1863, 5016, 1211, 23032, 3555, 3615, 995, 20449, 18513, 37977, 2107, 12, 28263, 44945, 5016, 1211, 20666, 1863, 35457, 3660, 5296, 4386, 5296, 12984, 36081, 995, 6055, 1211, 9307, 3660, 5039, 5039, 5039, 16490, 2304, 3794, 3660, 337, 38637, 36081, 995, 6055, 1211, 9307, 3660, 39182, 14739, 11331, 1211, 16490, 2304, 3794, 3660, 337, 38637, 36081, 995, 6055, 1211, 9307, 3660, 44945, 3615, 23328, 8978], "avg_logprob": -0.2217817177523428, "compression_ratio": 1.6030534351145038, "no_speech_prob": 0.0, "words": [{"start": 1772.95, "end": 1773.73, "word": "بنحل", "probability": 0.8936767578125}, {"start": 1773.73, "end": 1774.13, "word": " طبعا", "probability": 0.9276123046875}, {"start": 1774.13, "end": 1774.53, "word": " معادلة", "probability": 0.5835774739583334}, {"start": 1774.53, "end": 1774.87, "word": " non", "probability": 0.78759765625}, {"start": 1774.87, "end": 1775.23, "word": "-linear", "probability": 0.66015625}, {"start": 1775.23, "end": 1776.37, "word": " بنحل", "probability": 0.8758138020833334}, {"start": 1776.37, "end": 1776.95, "word": " بالنسبة", "probability": 0.97509765625}, {"start": 1776.95, "end": 1777.27, "word": " ل", "probability": 0.6494140625}, {"start": 1777.27, "end": 1777.27, "word": " ..", "probability": 0.1776123046875}, {"start": 1777.27, "end": 1778.75, "word": " لثيتا", "probability": 0.73101806640625}, {"start": 1778.75, "end": 1779.49, "word": " تلاتة", "probability": 0.9024658203125}, {"start": 1779.49, "end": 1780.09, "word": " solve", "probability": 0.77294921875}, {"start": 1780.09, "end": 1783.45, "word": " solve", "probability": 0.6904296875}, {"start": 1783.45, "end": 1786.17, "word": " solve", "probability": 0.8447265625}, {"start": 1786.17, "end": 1789.77, "word": " خمسة", "probability": 0.96533203125}, {"start": 1789.77, "end": 1791.91, "word": " for", "probability": 0.92529296875}, {"start": 1791.91, "end": 1793.77, "word": " ثيتا", "probability": 0.7801106770833334}, {"start": 1793.77, "end": 1794.45, "word": " تلاتة", "probability": 0.987548828125}, {"start": 1794.45, "end": 1796.05, "word": " بعد", "probability": 0.60791015625}, {"start": 1796.05, "end": 1796.11, "word": " أن", "probability": 0.28857421875}, {"start": 1796.11, "end": 1796.25, "word": " حل", "probability": 0.77197265625}, {"start": 1796.25, "end": 1796.69, "word": " خمسة", "probability": 0.85589599609375}, {"start": 1796.69, "end": 1796.89, "word": " for", "probability": 0.96923828125}, {"start": 1796.89, "end": 1797.23, "word": " ثيتا", "probability": 0.9132486979166666}, {"start": 1797.23, "end": 1797.93, "word": " تلاتة", "probability": 0.9927978515625}, {"start": 1797.93, "end": 1799.49, "word": " بنعود", "probability": 0.8494466145833334}, {"start": 1799.49, "end": 1799.83, "word": " في", "probability": 0.95849609375}], "temperature": 1.0}, {"id": 61, "seek": 183096, "start": 1802.06, "end": 1830.96, "text": "في معادلة و بعدين substitute about theta تلاتة in أربعة then solve for theta أربعة", "tokens": [41185, 20449, 18513, 37977, 4032, 39182, 9957, 15802, 466, 9725, 6055, 1211, 9307, 3660, 294, 5551, 25513, 27884, 550, 5039, 337, 9725, 5551, 25513, 27884], "avg_logprob": -0.19996995822741434, "compression_ratio": 1.1326530612244898, "no_speech_prob": 0.0, "words": [{"start": 1802.06, "end": 1802.3, "word": "في", "probability": 0.779296875}, {"start": 1802.3, "end": 1802.9, "word": " معادلة", "probability": 0.9845377604166666}, {"start": 1802.9, "end": 1803.2, "word": " و", "probability": 0.309814453125}, {"start": 1803.2, "end": 1803.36, "word": " بعدين", "probability": 0.906005859375}, {"start": 1803.36, "end": 1804.06, "word": " substitute", "probability": 0.51904296875}, {"start": 1804.06, "end": 1811.86, "word": " about", "probability": 0.7919921875}, {"start": 1811.86, "end": 1815.12, "word": " theta", "probability": 0.46923828125}, {"start": 1815.12, "end": 1816.24, "word": " تلاتة", "probability": 0.88232421875}, {"start": 1816.24, "end": 1817.24, "word": " in", "probability": 0.90380859375}, {"start": 1817.24, "end": 1821.34, "word": " أربعة", "probability": 0.8798828125}, {"start": 1821.34, "end": 1823.88, "word": " then", "probability": 0.755859375}, {"start": 1823.88, "end": 1826.58, "word": " solve", "probability": 0.955078125}, {"start": 1826.58, "end": 1828.8, "word": " for", "probability": 0.9677734375}, {"start": 1828.8, "end": 1830.5, "word": " theta", "probability": 0.7548828125}, {"start": 1830.5, "end": 1830.96, "word": " أربعة", "probability": 0.9388020833333334}], "temperature": 1.0}, {"id": 62, "seek": 185902, "start": 1832.42, "end": 1859.02, "text": "معناته احنا بمعرفتنا لأطوار ال link R1 وR2 وR3 وR4 بمعرفتنا حركة ال link 2 يعني عارفين ال theta 2 استطعنا نحسب اللي هو ال theta 3 و ال theta 4 وعشان احل ال theta 3 و ال theta 4 فعندي معدلتين المجهولين المجهولين هم ال theta 3", "tokens": [2304, 3615, 8315, 47395, 1975, 5016, 8315, 4724, 2304, 3615, 28480, 2655, 8315, 5296, 10721, 9566, 2407, 9640, 2423, 2113, 497, 16, 4032, 49, 17, 4032, 49, 18, 4032, 49, 19, 4724, 2304, 3615, 28480, 2655, 8315, 11331, 31747, 3660, 2423, 2113, 568, 37495, 22653, 6225, 9640, 5172, 9957, 2423, 9725, 568, 44713, 9566, 3615, 8315, 8717, 5016, 35457, 13672, 1829, 31439, 2423, 9725, 805, 4032, 2423, 9725, 1017, 4032, 3615, 8592, 7649, 1975, 5016, 1211, 2423, 9725, 805, 4032, 2423, 9725, 1017, 6156, 3615, 1863, 16254, 20449, 3215, 1211, 2655, 9957, 9673, 7435, 3224, 12610, 9957, 9673, 7435, 3224, 12610, 9957, 8032, 2304, 2423, 9725, 805], "avg_logprob": -0.2065972266373811, "compression_ratio": 1.9661016949152543, "no_speech_prob": 0.0, "words": [{"start": 1832.42, "end": 1832.88, "word": "معناته", "probability": 0.8751220703125}, {"start": 1832.88, "end": 1833.36, "word": " احنا", "probability": 0.9296875}, {"start": 1833.36, "end": 1835.46, "word": " بمعرفتنا", "probability": 0.93359375}, {"start": 1835.46, "end": 1837.82, "word": " لأطوار", "probability": 0.609814453125}, {"start": 1837.82, "end": 1837.94, "word": " ال", "probability": 0.91015625}, {"start": 1837.94, "end": 1838.14, "word": " link", "probability": 0.91552734375}, {"start": 1838.14, "end": 1838.96, "word": " R1", "probability": 0.550537109375}, {"start": 1838.96, "end": 1840.32, "word": " وR2", "probability": 0.6729329427083334}, {"start": 1840.32, "end": 1841.04, "word": " وR3", "probability": 0.9344075520833334}, {"start": 1841.04, "end": 1841.92, "word": " وR4", "probability": 0.9806315104166666}, {"start": 1841.92, "end": 1843.1, "word": " بمعرفتنا", "probability": 0.8058675130208334}, {"start": 1843.1, "end": 1843.54, "word": " حركة", "probability": 0.892578125}, {"start": 1843.54, "end": 1843.68, "word": " ال", "probability": 0.81640625}, {"start": 1843.68, "end": 1844.02, "word": " link", "probability": 0.96875}, {"start": 1844.02, "end": 1845.06, "word": " 2", "probability": 0.34326171875}, {"start": 1845.06, "end": 1845.26, "word": " يعني", "probability": 0.614990234375}, {"start": 1845.26, "end": 1845.64, "word": " عارفين", "probability": 0.78924560546875}, {"start": 1845.64, "end": 1845.74, "word": " ال", "probability": 0.75537109375}, {"start": 1845.74, "end": 1845.92, "word": " theta", "probability": 0.6181640625}, {"start": 1845.92, "end": 1846.42, "word": " 2", "probability": 0.7900390625}, {"start": 1846.42, "end": 1847.66, "word": " استطعنا", "probability": 0.959228515625}, {"start": 1847.66, "end": 1848.16, "word": " نحسب", "probability": 0.9930013020833334}, {"start": 1848.16, "end": 1848.38, "word": " اللي", "probability": 0.845703125}, {"start": 1848.38, "end": 1848.68, "word": " هو", "probability": 0.98291015625}, {"start": 1848.68, "end": 1849.18, "word": " ال", "probability": 0.865234375}, {"start": 1849.18, "end": 1849.58, "word": " theta", "probability": 0.89208984375}, {"start": 1849.58, "end": 1850.28, "word": " 3", "probability": 0.9306640625}, {"start": 1850.28, "end": 1850.62, "word": " و", "probability": 0.69921875}, {"start": 1850.62, "end": 1850.78, "word": " ال", "probability": 0.60009765625}, {"start": 1850.78, "end": 1851.08, "word": " theta", "probability": 0.8876953125}, {"start": 1851.08, "end": 1852.22, "word": " 4", "probability": 0.98974609375}, {"start": 1852.22, "end": 1853.7, "word": " وعشان", "probability": 0.9068603515625}, {"start": 1853.7, "end": 1854.02, "word": " احل", "probability": 0.84814453125}, {"start": 1854.02, "end": 1854.14, "word": " ال", "probability": 0.9697265625}, {"start": 1854.14, "end": 1854.28, "word": " theta", "probability": 0.90673828125}, {"start": 1854.28, "end": 1854.54, "word": " 3", "probability": 0.97607421875}, {"start": 1854.54, "end": 1854.66, "word": " و", "probability": 0.9892578125}, {"start": 1854.66, "end": 1854.7, "word": " ال", "probability": 0.60009765625}, {"start": 1854.7, "end": 1854.8, "word": " theta", "probability": 0.87939453125}, {"start": 1854.8, "end": 1855.18, "word": " 4", "probability": 0.9921875}, {"start": 1855.18, "end": 1855.62, "word": " فعندي", "probability": 0.712158203125}, {"start": 1855.62, "end": 1856.86, "word": " معدلتين", "probability": 0.9544921875}, {"start": 1856.86, "end": 1857.46, "word": " المجهولين", "probability": 0.9453125}, {"start": 1857.46, "end": 1857.84, "word": " المجهولين", "probability": 0.853564453125}, {"start": 1857.84, "end": 1858.14, "word": " هم", "probability": 0.903564453125}, {"start": 1858.14, "end": 1858.38, "word": " ال", "probability": 0.391845703125}, {"start": 1858.38, "end": 1858.58, "word": " theta", "probability": 0.9287109375}, {"start": 1858.58, "end": 1859.02, "word": " 3", "probability": 0.97705078125}], "temperature": 1.0}, {"id": 63, "seek": 188803, "start": 1860.25, "end": 1888.03, "text": "وثيتا أربعة ثيتا تلاتة وثيتا أربعة بحل المعادلتين هدول بحصل ثيتا تلاتة وثيتا أربعة so far I define اللي هو displacement and rotation so far so far we solve for displacement", "tokens": [2407, 12984, 36081, 995, 5551, 25513, 27884, 38637, 36081, 995, 6055, 1211, 9307, 3660, 4032, 12984, 36081, 995, 5551, 25513, 27884, 4724, 5016, 1211, 9673, 3615, 18513, 1211, 2655, 9957, 8032, 3215, 12610, 4724, 5016, 36520, 38637, 36081, 995, 6055, 1211, 9307, 3660, 4032, 12984, 36081, 995, 5551, 25513, 27884, 370, 1400, 286, 6964, 13672, 1829, 31439, 21899, 293, 12447, 370, 1400, 370, 1400, 321, 5039, 337, 21899], "avg_logprob": -0.19791667184967926, "compression_ratio": 1.6802721088435375, "no_speech_prob": 0.0, "words": [{"start": 1860.25, "end": 1860.89, "word": "وثيتا", "probability": 0.628662109375}, {"start": 1860.89, "end": 1861.31, "word": " أربعة", "probability": 0.8258463541666666}, {"start": 1861.31, "end": 1861.77, "word": " ثيتا", "probability": 0.7910970052083334}, {"start": 1861.77, "end": 1862.33, "word": " تلاتة", "probability": 0.9146728515625}, {"start": 1862.33, "end": 1863.43, "word": " وثيتا", "probability": 0.9210205078125}, {"start": 1863.43, "end": 1863.85, "word": " أربعة", "probability": 0.9576822916666666}, {"start": 1863.85, "end": 1865.79, "word": " بحل", "probability": 0.7374674479166666}, {"start": 1865.79, "end": 1866.55, "word": " المعادلتين", "probability": 0.8705647786458334}, {"start": 1866.55, "end": 1866.87, "word": " هدول", "probability": 0.683349609375}, {"start": 1866.87, "end": 1867.27, "word": " بحصل", "probability": 0.794921875}, {"start": 1867.27, "end": 1867.55, "word": " ثيتا", "probability": 0.8986002604166666}, {"start": 1867.55, "end": 1867.89, "word": " تلاتة", "probability": 0.96728515625}, {"start": 1867.89, "end": 1868.39, "word": " وثيتا", "probability": 0.95458984375}, {"start": 1868.39, "end": 1868.81, "word": " أربعة", "probability": 0.9656575520833334}, {"start": 1868.81, "end": 1869.49, "word": " so", "probability": 0.365478515625}, {"start": 1869.49, "end": 1870.03, "word": " far", "probability": 0.95947265625}, {"start": 1870.03, "end": 1870.31, "word": " I", "probability": 0.7373046875}, {"start": 1870.31, "end": 1871.07, "word": " define", "probability": 0.91162109375}, {"start": 1871.07, "end": 1871.47, "word": " اللي", "probability": 0.94677734375}, {"start": 1871.47, "end": 1871.77, "word": " هو", "probability": 0.97705078125}, {"start": 1871.77, "end": 1872.69, "word": " displacement", "probability": 0.95751953125}, {"start": 1872.69, "end": 1873.39, "word": " and", "probability": 0.94580078125}, {"start": 1873.39, "end": 1873.99, "word": " rotation", "probability": 0.96240234375}, {"start": 1873.99, "end": 1874.31, "word": " so", "probability": 0.74853515625}, {"start": 1874.31, "end": 1874.83, "word": " far", "probability": 0.97998046875}, {"start": 1874.83, "end": 1877.33, "word": " so", "probability": 0.63720703125}, {"start": 1877.33, "end": 1877.87, "word": " far", "probability": 0.97412109375}, {"start": 1877.87, "end": 1881.23, "word": " we", "probability": 0.80078125}, {"start": 1881.23, "end": 1881.89, "word": " solve", "probability": 0.93994140625}, {"start": 1881.89, "end": 1885.15, "word": " for", "probability": 0.94677734375}, {"start": 1885.15, "end": 1888.03, "word": " displacement", "probability": 0.95849609375}], "temperature": 1.0}, {"id": 64, "seek": 192013, "start": 1893.85, "end": 1920.13, "text": "and rotation of the lengths يعني انا مطلوب ان احل بعد هيك ال velocity علشان احل ال velocity خلينا نمسح", "tokens": [474, 12447, 295, 264, 26329, 37495, 22653, 1975, 8315, 3714, 9566, 1211, 37746, 16472, 1975, 5016, 1211, 39182, 39896, 4117, 2423, 9269, 11203, 8592, 7649, 1975, 5016, 1211, 2423, 9269, 16490, 20292, 8315, 8717, 2304, 3794, 5016], "avg_logprob": -0.15758635495838366, "compression_ratio": 1.2586206896551724, "no_speech_prob": 0.0, "words": [{"start": 1893.85, "end": 1894.31, "word": "and", "probability": 0.8427734375}, {"start": 1894.31, "end": 1895.05, "word": " rotation", "probability": 0.94970703125}, {"start": 1895.05, "end": 1899.19, "word": " of", "probability": 0.96630859375}, {"start": 1899.19, "end": 1899.63, "word": " the", "probability": 0.90234375}, {"start": 1899.63, "end": 1900.09, "word": " lengths", "probability": 0.63671875}, {"start": 1900.09, "end": 1908.15, "word": " يعني", "probability": 0.927734375}, {"start": 1908.15, "end": 1908.43, "word": " انا", "probability": 0.734619140625}, {"start": 1908.43, "end": 1908.79, "word": " مطلوب", "probability": 0.9715576171875}, {"start": 1908.79, "end": 1908.99, "word": " ان", "probability": 0.89501953125}, {"start": 1908.99, "end": 1910.53, "word": " احل", "probability": 0.88623046875}, {"start": 1910.53, "end": 1911.31, "word": " بعد", "probability": 0.8955078125}, {"start": 1911.31, "end": 1912.27, "word": " هيك", "probability": 0.873046875}, {"start": 1912.27, "end": 1913.21, "word": " ال", "probability": 0.5234375}, {"start": 1913.21, "end": 1915.85, "word": " velocity", "probability": 0.892578125}, {"start": 1915.85, "end": 1916.75, "word": " علشان", "probability": 0.7801106770833334}, {"start": 1916.75, "end": 1917.11, "word": " احل", "probability": 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minus R2 في sin θ2 في dθ2 by dt مشتقت الكساية و مشتقت اللي جوا minus R3 sin θ3 في dθ3 by dt", "tokens": [3224, 2655, 30544, 34105, 18871, 16254, 497, 17, 8032, 2655, 30544, 3175, 497, 17, 8978, 3343, 12622, 17, 8978, 274, 9440, 17, 538, 36423, 37893, 2655, 38149, 33251, 3794, 995, 10632, 4032, 37893, 2655, 38149, 13672, 1829, 10874, 14407, 3175, 497, 18, 3343, 12622, 18, 8978, 274, 9440, 18, 538, 36423], "avg_logprob": -0.2558593876086749, "compression_ratio": 1.4152542372881356, "no_speech_prob": 0.0, "words": [{"start": 1986.61, "end": 1987.05, "word": "هتكون", "probability": 0.8719075520833334}, {"start": 1987.05, "end": 1987.21, "word": " هنا", "probability": 0.5234375}, {"start": 1987.21, "end": 1987.45, "word": " عندي", "probability": 0.5469970703125}, {"start": 1987.45, "end": 1988.39, "word": " R2", "probability": 0.577880859375}, {"start": 1988.39, "end": 1990.47, "word": " هتكون", "probability": 0.7537434895833334}, {"start": 1990.47, "end": 1990.93, "word": " minus", 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هين اكتشفنا اذا بالربع بتضالها omega تربية ماحلتش معناته هذا .. بده احكي عنه هذا هذا this method this method will not work ليش؟ لأنه", "tokens": [39319, 8315, 4386, 20193, 5016, 19913, 14407, 8978, 11203, 8315, 16490, 9566, 10721, 8032, 9957, 1975, 4117, 2655, 8592, 5172, 8315, 1975, 15730, 20666, 25513, 3615, 39894, 11242, 6027, 11296, 10498, 6055, 25513, 10632, 19446, 5016, 1211, 2655, 8592, 20449, 8315, 47395, 23758, 4386, 47525, 3224, 1975, 5016, 4117, 1829, 18871, 3224, 23758, 23758, 341, 3170, 341, 3170, 486, 406, 589, 32239, 8592, 22807, 5296, 33456, 3224], "avg_logprob": -0.2945772133329335, "compression_ratio": 1.4761904761904763, "no_speech_prob": 0.0, "words": [{"start": 2656.28, "end": 2656.7, "word": "احنا", "probability": 0.806640625}, {"start": 2656.7, "end": 2656.82, "word": " ..", "probability": 0.26806640625}, {"start": 2656.82, "end": 2657.24, "word": " لاحظوا", "probability": 0.83544921875}, {"start": 2657.24, "end": 2657.42, "word": " في", "probability": 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position", "probability": 0.978515625}, {"start": 5153.35, "end": 5154.11, "word": " غلط", "probability": 0.9947916666666666}, {"start": 5154.11, "end": 5155.11, "word": " نتيجة", "probability": 0.965576171875}, {"start": 5155.11, "end": 5155.33, "word": " اللي", "probability": 0.951171875}, {"start": 5155.33, "end": 5155.69, "word": " هو", "probability": 0.9853515625}, {"start": 5155.69, "end": 5156.87, "word": " الحسابات", "probability": 0.96142578125}, {"start": 5156.87, "end": 5157.45, "word": " اللي", "probability": 0.973876953125}, {"start": 5157.45, "end": 5157.65, "word": " ممكن", "probability": 0.9951171875}, {"start": 5157.65, "end": 5157.99, "word": " تقع", "probability": 0.98974609375}, {"start": 5157.99, "end": 5158.31, "word": " فيها", "probability": 0.990234375}, {"start": 5158.31, "end": 5158.47, "word": " اللي", "probability": 0.81201171875}, {"start": 5158.47, "end": 5158.61, "word": " هو", "probability": 0.94921875}, {"start": 5158.61, "end": 5159.05, "word": " حسابات", "probability": 0.95703125}, {"start": 5159.05, "end": 5159.19, "word": " ال", "probability": 0.96142578125}, {"start": 5159.19, "end": 5159.47, "word": " sine", "probability": 0.5458984375}, {"start": 5159.47, "end": 5159.59, "word": " و", "probability": 0.767578125}, {"start": 5159.59, "end": 5159.67, "word": " ال", "probability": 0.83740234375}, {"start": 5159.67, "end": 5160.11, "word": " cosine", "probability": 0.92236328125}, {"start": 5160.11, "end": 5160.31, "word": " و", "probability": 0.9833984375}, {"start": 5160.31, "end": 5160.81, "word": " التان", "probability": 0.7196044921875}, {"start": 5160.81, "end": 5161.43, "word": " انت", "probability": 0.804443359375}, {"start": 5161.43, "end": 5161.55, "word": " في", "probability": 0.92919921875}, {"start": 5161.55, "end": 5161.81, "word": " الرابع", "probability": 0.8671875}, {"start": 5161.81, "end": 5162.17, "word": " الأول", "probability": 0.923828125}, {"start": 5162.17, "end": 5162.33, "word": " ولا", "probability": 0.8193359375}, {"start": 5162.33, "end": 5162.67, "word": " الرابع", "probability": 0.8642578125}, {"start": 5162.67, "end": 5163.01, "word": " التان", "probability": 0.975341796875}, {"start": 5163.01, "end": 5163.13, "word": " ولا", "probability": 0.978515625}, {"start": 5163.13, "end": 5163.37, "word": " الرابع", "probability": 0.9895833333333334}, {"start": 5163.37, "end": 5163.75, "word": " التالت", "probability": 0.9176432291666666}, {"start": 5163.75, "end": 5163.87, "word": " ولا", "probability": 0.97802734375}, {"start": 5163.87, "end": 5164.11, "word": " الرابع", "probability": 0.9910481770833334}, {"start": 5164.11, "end": 5164.57, "word": " الرابع", "probability": 0.99462890625}, {"start": 5164.57, "end": 5165.39, "word": " بذكركوا", "probability": 0.721875}, {"start": 5165.39, "end": 5165.69, "word": " كمان", "probability": 0.962890625}, {"start": 5165.69, "end": 5166.01, "word": " مرة", "probability": 0.985595703125}], "temperature": 1.0}, {"id": 179, "seek": 519156, "start": 5166.16, "end": 5191.56, "text": "ال .. ال .. ال sign بتكون موجهة في الرابع الأول و .. و التاني ال cosine بتكون موجهة في الرابع الأول و الرابع التام بتكون موجهة في الرابع الأول و التالت فمهم كتير كتير لما تبرمجوه تنتبهوا ل .. ل .. لشكل الميكانزم انه يعني does .. does make .. does make sense ده هتختار اللي هو ال .. ال .. ال .. ال correct .. ال correct و اللي هو realistic solution", "tokens": [6027, 4386, 2423, 4386, 2423, 1465, 39894, 30544, 3714, 29245, 3224, 3660, 8978, 34892, 16758, 3615, 16247, 12610, 4032, 4386, 4032, 16712, 7649, 1829, 2423, 23565, 39894, 30544, 3714, 29245, 3224, 3660, 8978, 34892, 16758, 3615, 16247, 12610, 4032, 34892, 16758, 3615, 16712, 10943, 39894, 30544, 3714, 29245, 3224, 3660, 8978, 34892, 16758, 3615, 16247, 12610, 4032, 16712, 6027, 2655, 6156, 2304, 16095, 9122, 2655, 13546, 9122, 2655, 13546, 5296, 15042, 6055, 26890, 2304, 7435, 2407, 3224, 6055, 29399, 3555, 3224, 14407, 5296, 4386, 5296, 4386, 5296, 8592, 28820, 9673, 1829, 41361, 11622, 2304, 16472, 3224, 37495, 22653, 775, 4386, 775, 652, 4386, 775, 652, 2020, 11778, 3224, 8032, 2655, 46456, 9640, 13672, 1829, 31439, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 3006, 4386, 2423, 3006, 4032, 13672, 1829, 31439, 12465, 3827], "avg_logprob": -0.13992010874855787, "compression_ratio": 2.337719298245614, "no_speech_prob": 0.0004799365997314453, "words": [{"start": 5166.16, "end": 5166.68, "word": "ال", "probability": 0.94970703125}, {"start": 5166.68, "end": 5166.82, "word": " ..", "probability": 0.64111328125}, {"start": 5166.82, "end": 5167.08, "word": " ال", "probability": 0.8994140625}, {"start": 5167.08, "end": 5167.16, "word": " ..", "probability": 0.87841796875}, {"start": 5167.16, "end": 5167.46, "word": " ال", "probability": 0.9013671875}, {"start": 5167.46, "end": 5167.78, "word": " sign", "probability": 0.72998046875}, {"start": 5167.78, "end": 5168.08, "word": " بتكون", "probability": 0.97802734375}, {"start": 5168.08, "end": 5168.36, "word": " موجهة", "probability": 0.74945068359375}, {"start": 5168.36, "end": 5168.46, "word": " في", "probability": 0.88916015625}, {"start": 5168.46, "end": 5168.66, "word": " الرابع", "probability": 0.9410807291666666}, {"start": 5168.66, "end": 5169.14, "word": " الأول", "probability": 0.983154296875}, {"start": 5169.14, "end": 5169.46, "word": " و", "probability": 0.60205078125}, {"start": 5169.46, "end": 5169.64, "word": " ..", "probability": 0.87841796875}, {"start": 5169.64, "end": 5170.08, "word": " و", "probability": 0.96484375}, {"start": 5170.08, "end": 5170.7, "word": " التاني", "probability": 0.9044596354166666}, {"start": 5170.7, "end": 5171.14, "word": " ال", "probability": 0.83544921875}, {"start": 5171.14, "end": 5171.4, "word": " cosine", "probability": 0.87353515625}, {"start": 5171.4, "end": 5171.68, "word": " بتكون", "probability": 0.88330078125}, {"start": 5171.68, "end": 5171.96, "word": " موجهة", "probability": 0.9576416015625}, {"start": 5171.96, "end": 5172.06, "word": " في", "probability": 0.9697265625}, {"start": 5172.06, "end": 5172.32, "word": " الرابع", "probability": 0.9881184895833334}, {"start": 5172.32, "end": 5172.84, "word": " الأول", "probability": 0.990234375}, {"start": 5172.84, "end": 5173.1, "word": " و", "probability": 0.7314453125}, {"start": 5173.1, "end": 5173.72, "word": " الرابع", "probability": 0.9920247395833334}, {"start": 5173.72, "end": 5174.54, "word": " التام", "probability": 0.81982421875}, {"start": 5174.54, "end": 5174.76, "word": " بتكون", "probability": 0.837890625}, {"start": 5174.76, "end": 5174.96, "word": " موجهة", "probability": 0.9835205078125}, {"start": 5174.96, "end": 5175.06, "word": " في", "probability": 0.97802734375}, {"start": 5175.06, "end": 5175.22, "word": " الرابع", "probability": 0.9806315104166666}, {"start": 5175.22, "end": 5175.62, "word": " الأول", "probability": 0.98828125}, {"start": 5175.62, "end": 5175.94, "word": " و", "probability": 0.96728515625}, {"start": 5175.94, "end": 5176.52, "word": " التالت", "probability": 0.9881184895833334}, {"start": 5176.52, "end": 5177.38, "word": " فمهم", "probability": 0.9762369791666666}, {"start": 5177.38, "end": 5177.74, "word": " كتير", "probability": 0.9759114583333334}, {"start": 5177.74, "end": 5178.06, "word": " كتير", "probability": 0.9920247395833334}, {"start": 5178.06, "end": 5178.32, "word": " لما", "probability": 0.96533203125}, {"start": 5178.32, "end": 5179.28, "word": " تبرمجوه", "probability": 0.8601481119791666}, {"start": 5179.28, "end": 5180.36, "word": " تنتبهوا", "probability": 0.94599609375}, {"start": 5180.36, "end": 5180.62, "word": " ل", "probability": 0.87939453125}, {"start": 5180.62, "end": 5180.82, "word": " ..", "probability": 0.53125}, {"start": 5180.82, "end": 5181.04, "word": " ل", "probability": 0.779296875}, {"start": 5181.04, "end": 5181.06, "word": " ..", "probability": 0.64111328125}, {"start": 5181.06, "end": 5181.86, "word": " لشكل", "probability": 0.9075520833333334}, {"start": 5181.86, "end": 5182.36, "word": " الميكانزم", "probability": 0.84833984375}, {"start": 5182.36, "end": 5182.58, "word": " انه", "probability": 0.5401611328125}, {"start": 5182.58, "end": 5182.98, "word": " يعني", "probability": 0.815673828125}, {"start": 5182.98, "end": 5183.36, "word": " does", "probability": 0.79296875}, {"start": 5183.36, "end": 5183.56, "word": " ..", "probability": 0.80322265625}, {"start": 5183.56, "end": 5183.8, "word": " does", "probability": 0.96044921875}, {"start": 5183.8, "end": 5184.16, "word": " make", "probability": 0.81640625}, {"start": 5184.16, "end": 5184.28, "word": " ..", "probability": 0.8701171875}, {"start": 5184.28, "end": 5184.46, "word": " does", "probability": 0.96875}, {"start": 5184.46, "end": 5184.7, "word": " make", "probability": 0.83349609375}, {"start": 5184.7, "end": 5185.14, "word": " sense", "probability": 0.85693359375}, {"start": 5185.14, "end": 5185.32, "word": " ده", "probability": 0.5753173828125}, {"start": 5185.32, "end": 5185.78, "word": " هتختار", "probability": 0.880859375}, {"start": 5185.78, "end": 5185.94, "word": " اللي", "probability": 0.962890625}, {"start": 5185.94, "end": 5186.26, "word": " هو", "probability": 0.9951171875}, {"start": 5186.26, "end": 5186.58, "word": " ال", "probability": 0.97119140625}, {"start": 5186.58, "end": 5186.68, "word": " ..", "probability": 0.98486328125}, {"start": 5186.68, "end": 5186.9, "word": " ال", "probability": 0.9775390625}, {"start": 5186.9, "end": 5186.96, "word": " ..", "probability": 0.99072265625}, {"start": 5186.96, "end": 5187.36, "word": " ال", "probability": 0.9775390625}, {"start": 5187.36, "end": 5187.36, "word": " ..", "probability": 0.65185546875}, {"start": 5187.36, "end": 5187.56, "word": " ال", "probability": 0.92919921875}, {"start": 5187.56, "end": 5187.96, "word": " correct", "probability": 0.9375}, {"start": 5187.96, "end": 5188.54, "word": " ..", "probability": 0.358642578125}, {"start": 5188.54, "end": 5188.68, "word": " ال", "probability": 0.87158203125}, {"start": 5188.68, "end": 5189.08, "word": " correct", "probability": 0.97607421875}, {"start": 5189.08, "end": 5189.74, "word": " و", "probability": 0.86572265625}, {"start": 5189.74, "end": 5189.88, "word": " اللي", "probability": 0.981201171875}, {"start": 5189.88, "end": 5190.1, "word": " هو", "probability": 0.99560546875}, {"start": 5190.1, "end": 5190.62, "word": " realistic", "probability": 0.95703125}, {"start": 5190.62, "end": 5191.56, "word": " solution", "probability": 0.97900390625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 5192.9805, "duration_after_vad": 4728.240000000006}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/a4OTCjqIibU_raw.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/a4OTCjqIibU_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..fa98bb561a10867f267c305bb9cdc40d550b6af2
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/a4OTCjqIibU_raw.srt
@@ -0,0 +1,2724 @@
+1
+00:00:04,890 --> 00:00:07,990
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,990 --> 00:00:12,110
+وبركاته اليوم هنبدأ محاضرة جديدة في مادة مظرية
+
+3
+00:00:12,110 --> 00:00:17,650
+القلاد الموضوع هو استخدام الأرقام المركبة complex
+
+4
+00:00:17,650 --> 00:00:21,310
+number analysis في تحليل القلاد يعني complex
+
+5
+00:00:21,310 --> 00:00:23,350
+number analysis of mechanisms
+
+6
+00:00:39,230 --> 00:00:49,770
+of mechanisms خلّينا
+
+7
+00:00:49,770 --> 00:00:56,070
+نعمل مراجعة سريعة لل complex number في نظام
+
+8
+00:00:56,070 --> 00:01:03,650
+الإحداثيات ال D كرتية لو أخدنا في 2D بيكون عندى
+
+9
+00:01:03,650 --> 00:01:11,170
+المحورين X وY لو عندى نقطة هنانقطة إحداثياتها
+
+10
+00:01:11,170 --> 00:01:17,050
+هتكون X و
+
+11
+00:01:17,050 --> 00:01:23,070
+Y يعني نقطة معرفة بإحداثيين إحداثي X و إحداثي Y
+
+12
+00:01:23,070 --> 00:01:28,290
+هذا اللي هو Cartesian Coordinates لأن في حالة
+
+13
+00:01:28,290 --> 00:01:33,170
+Complex Numbers بيكون نظام الإحداثيات and
+
+14
+00:01:33,170 --> 00:01:40,570
+imaginaryيعني يقابلوا ال X هنا او .. او real ..
+
+15
+00:01:40,570 --> 00:01:52,390
+real هنا imaginary يقابلوا ال Y اي نقطة تتعرف
+
+16
+00:01:52,390 --> 00:01:56,410
+بإحداثين اللي
+
+17
+00:01:56,410 --> 00:01:59,690
+هو الإحداث الحقيقي ال real اللي هي في ال X
+
+18
+00:01:59,690 --> 00:02:05,010
+والإحداث التخيلي في الاتجاه
+
+19
+00:02:07,560 --> 00:02:15,660
+اللي هو imaginary Y هذه نقطة point الان
+
+20
+00:02:15,660 --> 00:02:25,460
+ممكن احكي ان اعرف النقطة هذه من خلال ال vector R
+
+21
+00:02:25,460 --> 00:02:33,400
+و الزاوية هذه theta tan theta
+
+22
+00:02:36,750 --> 00:02:42,850
+هتساوي ال y على ال x أو بتساوي ال imaginary part
+
+23
+00:02:42,850 --> 00:02:53,050
+للإحداثيات على ال real part للإحداثيات اللي
+
+24
+00:02:53,050 --> 00:02:57,890
+أنا ممكن أعرف في ال position ال vector ما هو كنقطة
+
+25
+00:02:57,890 --> 00:03:02,010
+R كإحداث
+
+26
+00:03:02,010 --> 00:03:17,520
+X باتجاه ال realزائد J زائد Y باتجاه الـ J JY يعني
+
+27
+00:03:17,520 --> 00:03:25,380
+عندي real part وعندي
+
+28
+00:03:25,380 --> 00:03:33,060
+imaginary part في جزء حقيقي وجزء تخيلي
+
+29
+00:03:34,800 --> 00:03:46,960
+اللي هنلاحظه ال X ال X بالساوية R Cos Theta وال Y
+
+30
+00:03:46,960 --> 00:03:52,860
+بالساوية R Sin Theta المعنى اللي هتكون اعبّر على
+
+31
+00:03:52,860 --> 00:04:02,360
+ال R ك vector هتكون ال X R Cos Theta زائد خدم ده
+
+32
+00:04:02,360 --> 00:04:04,380
+استخدم ال I هنا بدل ال J
+
+33
+00:04:07,250 --> 00:04:17,110
+زائد I R اللي هي R sin θ يمكن أخد R عالم مشترك
+
+34
+00:04:17,110 --> 00:04:29,790
+يكون عندي cos θ زائد I sin θ هذه طريقة للتعبير عن
+
+35
+00:04:29,790 --> 00:04:35,550
+ال R position vector للنقطة P طريقة تانية ممكن
+
+36
+00:04:35,550 --> 00:04:42,590
+أحكي Rك vector بيستوي قيمة ال vector R exponential
+
+37
+00:04:42,590 --> 00:04:51,290
+E to the power I theta طبعا
+
+38
+00:04:51,290 --> 00:04:56,210
+ال E I theta احنا عارفين ان ال E I theta فيها two
+
+39
+00:04:56,210 --> 00:05:02,150
+parts واحدة بتجارية ال cosine theta واحدة بتجارية
+
+40
+00:05:02,150 --> 00:05:05,390
+ال imaginary sin theta
+
+41
+00:05:10,230 --> 00:05:12,390
+هذا المفروض يكونوا عارفينه في المدرسة يعني هذا
+
+42
+00:05:12,390 --> 00:05:16,570
+مراجعة او في ال calculus مراجعة ال complex number
+
+43
+00:05:16,570 --> 00:05:22,530
+احنا هنستخدم هذه ال concepts عشان ندرس اللي هو
+
+44
+00:05:22,530 --> 00:05:28,550
+displacement نحكي using the
+
+45
+00:05:28,550 --> 00:05:33,750
+concept of
+
+46
+00:05:33,750 --> 00:05:37,830
+complex numbers
+
+47
+00:05:41,770 --> 00:05:46,690
+to make position
+
+48
+00:05:46,690 --> 00:05:53,150
+.. to make position velocity
+
+49
+00:05:53,150 --> 00:05:57,290
+and
+
+50
+00:05:57,290 --> 00:06:00,350
+acceleration
+
+51
+00:06:00,350 --> 00:06:04,690
+analysis
+
+52
+00:06:11,520 --> 00:06:19,500
+هناخد مثال .. هناخد مثال ال .. ال four bar linkage
+
+53
+00:06:19,500 --> 00:06:25,280
+ناخد ال four bar mechanism خلّيني
+
+54
+00:06:25,280 --> 00:06:36,160
+أرسم ال four bar mechanism ال
+
+55
+00:06:36,160 --> 00:06:38,400
+four bar mechanism هيكون عندك crank
+
+56
+00:06:45,940 --> 00:06:53,840
+وعندي connecting rod وعندي
+
+57
+00:06:53,840 --> 00:07:02,000
+follower القرض
+
+58
+00:07:02,000 --> 00:07:09,280
+هسميها link رقم واحد وال crank link رقم اتنين ال
+
+59
+00:07:09,280 --> 00:07:13,940
+connecting rod link رقم تلاتة وال follower link
+
+60
+00:07:13,940 --> 00:07:14,880
+رقم اربعة
+
+61
+00:07:21,520 --> 00:07:26,720
+الان ال link two جاية بين نقطة واحد و نقطة ..
+
+62
+00:07:26,720 --> 00:07:36,960
+بالنقطة .. خلينا نقرأ اساميها دي a b c d link رقم
+
+63
+00:07:36,960 --> 00:07:44,100
+اتنين جاية بين نقطة a و نقطة b الان
+
+64
+00:07:44,100 --> 00:07:47,480
+هعرف link two as a vector vector
+
+65
+00:07:57,390 --> 00:08:09,010
+اسميها R2 و link تلاتة as a vector R3
+
+66
+00:08:09,010 --> 00:08:18,850
+و link أربعة as a vector R4
+
+67
+00:08:18,850 --> 00:08:29,650
+و link واحد بين A و Das a vector من D ل A او من A
+
+68
+00:08:29,650 --> 00:08:40,890
+ل D سميتها
+
+69
+00:08:40,890 --> 00:08:44,870
+R1 for
+
+70
+00:08:44,870 --> 00:08:45,750
+each link
+
+71
+00:09:02,210 --> 00:09:12,210
+define a local coordinate system
+
+72
+00:09:12,210 --> 00:09:17,170
+يعني
+
+73
+00:09:17,170 --> 00:09:21,590
+عند link 2 هيكون عند ايه؟ هاي x, x و y
+
+74
+00:09:26,020 --> 00:09:30,620
+وبتعمل R2 مع ال .. مع ال X axis في اتجاه عكس على
+
+75
+00:09:30,620 --> 00:09:38,160
+الخارج السياعي الزاوية الـ theta 2 بالنسبة
+
+76
+00:09:38,160 --> 00:09:44,620
+لل X small و Y small ممكن اعرف R2 R2 ك vector
+
+77
+00:09:44,620 --> 00:09:53,460
+بالساوية R2 exponential EI theta 2
+
+78
+00:09:56,780 --> 00:10:01,320
+الان R تلاتة برضه هعرفلها local coordinate system
+
+79
+00:10:01,320 --> 00:10:04,880
+هاي
+
+80
+00:10:04,880 --> 00:10:16,540
+X وهاي Y لأن R تلاتة هتزاغيها تيتا
+
+81
+00:10:16,540 --> 00:10:26,180
+تلاتة R تلاتة ال position vector R تلاتة هتساوي
+
+82
+00:10:27,560 --> 00:10:33,560
+R تلاتة كمتها في ال exponential لأ EI ثتا تلاتة
+
+83
+00:10:33,560 --> 00:10:41,620
+طبعا أنا بلف بعكس عقار بالساعة الان link four هعرف
+
+84
+00:10:41,620 --> 00:10:46,920
+احداثيات هاي
+
+85
+00:10:46,920 --> 00:10:53,300
+X small وهاي Y small لان همشي بعكس عقار بالساعة
+
+86
+00:10:56,600 --> 00:11:07,560
+هذا هتكون theta four هتكون
+
+87
+00:11:07,560 --> 00:11:15,660
+دي R أربعة ك vector بس قيمته R أربعة في
+
+88
+00:11:15,660 --> 00:11:18,880
+exponential ل EI theta أربعة
+
+89
+00:11:23,760 --> 00:11:29,800
+و نفس الشي عندي هاي R واحد و R واحد بتساوي R واحد
+
+90
+00:11:29,800 --> 00:11:41,100
+E I ثتا واحد إلى
+
+91
+00:11:41,100 --> 00:11:44,620
+اللحظة عندي .. عندي .. عندي هاي vector R اتنين R
+
+92
+00:11:44,620 --> 00:11:47,720
+تلاتة R أربعة ماشيين
+
+93
+00:11:49,360 --> 00:11:59,860
+clockwise عندي R اتنين R اتنين R تلاتة and R اربعة
+
+94
+00:11:59,860 --> 00:12:06,260
+are moving
+
+95
+00:12:06,260 --> 00:12:10,460
+or rotating clockwise
+
+96
+00:12:10,460 --> 00:12:14,500
+يعني هاي clockwise يعني ماشي انا ماشي من من اتنين
+
+97
+00:12:14,500 --> 00:12:19,580
+لاربعة clockwiseالـ vector اللي بيسكر ال polygon
+
+98
+00:12:19,580 --> 00:12:26,940
+اللي هو R1 معناته R1 هو المحصلة معناته R1 ك vector
+
+99
+00:12:26,940 --> 00:12:38,120
+بالثورة R2 زائد R3 زائد R4 ك vector الآن نعود عن
+
+100
+00:12:38,120 --> 00:12:51,370
+R1 R1 عبارة عن R1 E أُس I θ 1بيستوى R2EIθ2
+
+101
+00:12:51,370 --> 00:12:57,030
+وR3 عبارة عن R ثلاثة اللحظة و أنا لما بحكي vector
+
+102
+00:12:57,030 --> 00:13:03,810
+بكون حاطط شرطة أعلى ال letter إذا مافيش شرطة بحكي
+
+103
+00:13:03,810 --> 00:13:12,950
+عن scalar زاد R ثلاثة EI ثتا ثلاثة زاد R أربعة EI
+
+104
+00:13:12,950 --> 00:13:14,130
+ثتا أربعة
+
+105
+00:13:18,510 --> 00:13:23,770
+مع العلم نحكي ثيتا واحد أفقية ثيتا واحد أفقية
+
+106
+00:13:23,770 --> 00:13:25,750
+أفقية أفقية ثيتا واحد أفقية ثيتا واحد أفقية ثيتا
+
+107
+00:13:25,750 --> 00:13:29,670
+واحد أفقية ثيتا واحد أفقية ثيتا
+
+108
+00:13:29,670 --> 00:13:31,910
+واحد أفقية ثيتا واحد أفقية ثيتا واحد أفقية ثيتا
+
+109
+00:13:31,910 --> 00:13:32,490
+واحد أفقية ثيتا واحد أفقية ثيتا واحد أفقية ثيتا
+
+110
+00:13:32,490 --> 00:13:32,770
+واحد أفقية ثيتا واحد أفقية ثيتا واحد أفقية ثيتا
+
+111
+00:13:32,770 --> 00:13:32,770
+واحد أفقية ثيتا واحد أفقية ثيتا واحد أفقية ثيتا
+
+112
+00:13:32,770 --> 00:13:38,210
+واحد أفقية ثيتا واحد أفقية ثيتا واحد أفقية ثيتا
+
+113
+00:13:38,210 --> 00:13:43,710
+واحد أفقية ثيتا
+
+114
+00:13:43,710 --> 00:13:56,200
+واحد أفقية ثثيتا واحد بتساوي ال R اتنين في cosine
+
+115
+00:13:56,200 --> 00:14:09,720
+ثيتا اتنين زاد I sine ثيتا اتنين زاد R تلاتة في ال
+
+116
+00:14:09,720 --> 00:14:15,870
+E I ثيتا تلاتة لها real part cosine ثيتا تلاتةزاد
+
+117
+00:14:15,870 --> 00:14:27,830
+اي صين ثيتا تلاتة زاد R أربعة فيه عندي E I ثيتا
+
+118
+00:14:27,830 --> 00:14:33,090
+أربعة لها مركبتين واحدة real اللي هي cosine ثيتا
+
+119
+00:14:33,090 --> 00:14:38,670
+أربعة زاد اي صين ثيتا أربعة
+
+120
+00:14:50,310 --> 00:14:53,830
+لأن الطرف الأيصر يساوي الطرف الأيمن عشان الطرف
+
+121
+00:14:53,830 --> 00:14:57,610
+الأيصر يساوي الطرف الأيمن لازم ال real part of the
+
+122
+00:14:57,610 --> 00:15:01,110
+left hand لازم يساوي ال real part of the right
+
+123
+00:15:01,110 --> 00:15:04,890
+hand و ال imaginary part of the left hand لازم
+
+124
+00:15:04,890 --> 00:15:09,950
+يساوي ال imaginary part لل left hand يعني ال real
+
+125
+00:15:09,950 --> 00:15:16,810
+part هكون
+
+126
+00:15:16,810 --> 00:15:32,430
+دي cosine ثتا واحدبتساوى R1 Cos θ1 بتساوى R2 Cos
+
+127
+00:15:32,430 --> 00:15:46,890
+θ2 زاد R3 Cos θ3 زاد R4 Cos θ4
+
+128
+00:15:55,360 --> 00:16:07,120
+الـ imaginary part جزء التخيلة هيكون R1 Sine Theta
+
+129
+00:16:07,120 --> 00:16:24,430
+1 بتساوي R2 Sine Theta 2زاد R3 Sine Theta 3 زاد R4
+
+130
+00:16:24,430 --> 00:16:32,470
+Sine Theta 4 هذه معادلة اتنين احنا عارفين Theta
+
+131
+00:16:32,470 --> 00:16:36,230
+واحد بالساوي صفر مانعتك و Sine Theta واحد هتساوي
+
+132
+00:16:36,230 --> 00:16:39,950
+واحد و Sine Theta واحد هتساوي صفر المعادلة واحد
+
+133
+00:16:39,950 --> 00:16:42,550
+اتنين بيصير بالشكل التالي
+
+134
+00:16:46,830 --> 00:16:53,370
+لما أحط θ1 صفر هصير عندي R1 بتساوي
+
+135
+00:16:53,370 --> 00:17:10,570
+R2 Cos θ2 زاد R3 Cos θ3 زاد R4 Cos θ4 هذه معادلة
+
+136
+00:17:10,570 --> 00:17:13,570
+واحدةالمعادل الأتنين اللي حاكيه هنا تت واحد
+
+137
+00:17:13,570 --> 00:17:16,890
+بالساوة سفر معناته ساين تت واحد بالساوة سفر معناته
+
+138
+00:17:16,890 --> 00:17:22,210
+السفر هيكون سفر
+
+139
+00:17:22,210 --> 00:17:30,870
+تكون ساوة R اتنين ساين ثيتا اتنين زائد R تلاتة
+
+140
+00:17:30,870 --> 00:17:41,320
+ساين ثيتا تلاتة زائد R أربعة ساينdata أربعة هذه
+
+141
+00:17:41,320 --> 00:17:49,800
+معادلة رقم اتنين لاحظوا
+
+142
+00:17:49,800 --> 00:17:55,420
+في قلية زي هذه ال input بيكون عند ال link عادة ال
+
+143
+00:17:55,420 --> 00:17:59,560
+input بيكون عند ال link اتنين معناته انا بكون عارف
+
+144
+00:17:59,560 --> 00:18:07,880
+الزاوية بتتحركها و بكون عارف السرعة بتاعتها يعني
+
+145
+00:18:07,880 --> 00:18:09,220
+انت بحكي given
+
+146
+00:18:15,290 --> 00:18:25,410
+ال dimensions of the lengths يعني R2 و R3 و R4 و
+
+147
+00:18:25,410 --> 00:18:33,010
+R1 و θ2 then
+
+148
+00:18:33,010 --> 00:18:37,270
+بدي
+
+149
+00:18:37,270 --> 00:18:44,650
+أحل أحسب الزاوية θ3 و θ4 solve for
+
+150
+00:18:46,740 --> 00:19:04,080
+theta تلاتة and theta أربعة يعني
+
+151
+00:19:04,080 --> 00:19:10,760
+لو أخدت المعادلة
+
+152
+00:19:10,760 --> 00:19:21,590
+واحد وعديت الترتيبةحكيت روحت جبت ال R4 Cos θ4 على
+
+153
+00:19:21,590 --> 00:19:38,170
+جهة يعني هسيلا دي R4 Cos θ4 هتستوى R1 minus R2 Cos
+
+154
+00:19:38,170 --> 00:19:53,250
+θ2-R تلاتة Cos θ تلاتة هذه معادلة واحد و حكيت
+
+155
+00:19:53,250 --> 00:20:04,890
+R أربعة Sin θ أربعة بالساوية ناقص أو خلينا نحكي ال
+
+156
+00:20:04,890 --> 00:20:05,330
+general minus
+
+157
+00:20:08,210 --> 00:20:18,770
+R4 Sine Theta 4 بيستوى R2 Sine Theta 2 زائد
+
+158
+00:20:18,770 --> 00:20:30,670
+R3 Sine Theta 3 خلينا نسميها دلوقت تلاتة وهذه
+
+159
+00:20:30,670 --> 00:20:34,350
+أربعة الان
+
+160
+00:20:34,350 --> 00:20:39,430
+انا هربي معادلة تلاتةو هربي المعادل 4 و بعدين
+
+161
+00:20:39,430 --> 00:20:46,090
+أجمعهم مع بعض يعني square equation
+
+162
+00:20:46,090 --> 00:20:58,950
+3 and 4 then add هسيلي التاله مربع المعادل يعني
+
+163
+00:20:58,950 --> 00:21:02,950
+اللي هندفنش معايصر معايصر او ايبن معايبين هيكون R4
+
+164
+00:21:04,000 --> 00:21:13,760
+تربية cos θ أربعة تربية zr أربعة تربية sin θ أربعة
+
+165
+00:21:13,760 --> 00:21:21,240
+تربية هكون
+
+166
+00:21:21,240 --> 00:21:25,380
+عنداه خلّيني
+
+167
+00:21:25,380 --> 00:21:35,430
+أربع المعادلة هذه ر واحد minus r اتنينR1-R1R2-R1R2
+
+168
+00:21:35,430 --> 00:21:48,410
+-R3R2-R3R2-R3R2-R3R2-R3R2-R3R2
+
+169
+00:21:48,410 --> 00:21:49,350
+-R3R2-R3R2-R3R2-R3R2-R3R2-R3R2-R3R2-R3R2-R3R2-R3R2
+
+170
+00:21:49,350 --> 00:21:49,350
+-R3R2-R3R2-R3R2-R3R2-R3R2-R3R2-R3R2-R3R2-R3R2-R3R2
+
+171
+00:21:49,350 --> 00:21:50,270
+-R3R2-R3R2-R3R2-R3R2-R3R2-R3R2-R3R2-R2R2-R2R2-R2R2
+
+172
+00:21:50,270 --> 00:21:58,270
+-R2R2-R2R2-R2R2-R2R2-R2R2-R2R2-R
+
+173
+00:22:15,950 --> 00:22:28,650
+-R1R3cosθ3 بعدين minus R1R2cosθ2
+
+174
+00:22:35,820 --> 00:22:49,280
+زائد R2 Cos θ2 زائد
+
+175
+00:22:49,280 --> 00:23:01,960
+R2 R3 Cos θ3 minus R1 R3
+
+176
+00:23:01,960 --> 00:23:04,300
+Cos θ3
+
+177
+00:23:08,350 --> 00:23:16,330
+-r2r3 minus او زائد r2r3
+
+178
+00:23:16,330 --> 00:23:24,410
+cos θ3 cos θ2 بس لحظة خليني اتأكد اولش عندى r1
+
+179
+00:23:24,410 --> 00:23:31,470
+تربية minus r1r2 cos θ2 minus r1r3 cos θ3 minus
+
+180
+00:23:31,470 --> 00:23:34,710
+r1r2
+
+181
+00:23:34,710 --> 00:23:45,870
+cos θ2زاد R2 تربيع كوصين تتربيع تتانين زاد R2 R3
+
+182
+00:23:45,870 --> 00:23:51,730
+كوصين تتلاتة كوصين تتانين التالتة
+
+183
+00:23:51,730 --> 00:24:00,530
+minus R1 R3 كوصين تتلاتة زاد R2 R3 كوصين تتلاتة
+
+184
+00:24:00,530 --> 00:24:03,330
+كوصين تتانين زاد
+
+185
+00:24:05,660 --> 00:24:18,420
+زائد R تلاتة تربيع Cos θ تلاتة تربيع طيب
+
+186
+00:24:18,420 --> 00:24:31,660
+نجمع هكون عندنا R واحد تربيع minus اتنين R واحد R
+
+187
+00:24:31,660 --> 00:24:34,700
+اتنين Cos θ اتنين
+
+188
+00:24:37,960 --> 00:24:50,660
+-2R1R3 Cos θ3 زائد 2R2R3
+
+189
+00:24:50,660 --> 00:24:58,840
+Cos θ2 Cos θ3 زائد
+
+190
+00:24:58,840 --> 00:25:13,770
+R2 Cos تربيع θ2زائد R ثلاثة تربية
+
+191
+00:25:13,770 --> 00:25:23,830
+Cos θ تلاتة تربية المعوض هنا المربع الأول هذا R
+
+192
+00:25:23,830 --> 00:25:30,190
+واحد تربية ماقص اتنين R واحد R اتنين Cos ثتا اتنين
+
+193
+00:25:30,190 --> 00:25:37,720
+minus اتنين R واحد R تلاتةcos θ تلاتة زائد اتنين R
+
+194
+00:25:37,720 --> 00:25:42,660
+اتنين
+
+195
+00:25:42,660 --> 00:25:50,860
+R اتنين
+
+196
+00:25:50,860 --> 00:26:02,760
+R تلاتة cosine theta اتنين cosine theta تلاتة زائد
+
+197
+00:26:04,240 --> 00:26:11,320
+R2 تربيع Cos تربيع ثيتا اتنين زاد R3 تربيع Cos
+
+198
+00:26:11,320 --> 00:26:22,120
+تربيع ثيتا تلاتة هربع هذه هذه هتكون هذه زاد R2
+
+199
+00:26:22,120 --> 00:26:32,860
+تربيع Sin تربيع ثيتا اتنين زاد R3تربيع sin تربيع
+
+200
+00:26:32,860 --> 00:26:39,280
+ثتا ثلاثة لاحظوا عند ال R أربع تربيع و sin تربيع
+
+201
+00:26:39,280 --> 00:26:45,300
+ثتا أربع تربيع هذا بتساوي R أربعة R أربعة تربيع
+
+202
+00:26:45,300 --> 00:26:57,780
+هتساوي هاخد ال term هذا هذا ال term مع
+
+203
+00:26:57,780 --> 00:26:58,540
+ال term هذا
+
+204
+00:27:01,380 --> 00:27:09,140
+يعني حصيرا دي هنا هذا خلصنا منها R1 تربيع هذا
+
+205
+00:27:09,140 --> 00:27:13,840
+مع هذا هذا هتكون R2 تربيع Sin تربيع تتنين زاد R2
+
+206
+00:27:13,840 --> 00:27:19,860
+تربيع Cos تربيع تتنين يعني هتكون R2 تربيع
+
+207
+00:27:19,860 --> 00:27:26,820
+بعدين هاخد ال term هذا مع
+
+208
+00:27:26,820 --> 00:27:27,540
+ال term هذا
+
+209
+00:27:30,510 --> 00:27:33,870
+اللي هو R تلاتة تربيع R تلاتة تربيع R تلاتة تربيع
+
+210
+00:27:33,870 --> 00:27:34,370
+R تلاتة تربيع R تلاتة تربيع R تلاتة تربيع R تلاتة
+
+211
+00:27:34,370 --> 00:27:35,530
+تربيع R تلاتة تربيع R تلاتة تربيع R تلاتة تربيع R
+
+212
+00:27:35,530 --> 00:27:38,430
+تلاتة تربيع R تلاتة تربيع R تلاتة تربيع R تلاتة
+
+213
+00:27:38,430 --> 00:27:39,730
+تربيع R تلاتة تربيع R تلاتة تربيع R تلاتة تربيع R
+
+214
+00:27:39,730 --> 00:27:39,730
+تلاتة تربيع R تلاتة تربيع R تلاتة تربيع R تلاتة
+
+215
+00:27:39,730 --> 00:27:44,610
+تربيع R تلاتة
+
+216
+00:27:44,610 --> 00:27:54,150
+تربيع R تلاتة تربيع R تلاتة
+
+217
+00:27:54,150 --> 00:27:58,170
+تربيع R
+
+218
+00:27:58,170 --> 00:28:19,830
+تلاتةR2 R3 Sin θ2 Sin θ3 هتكون minus 2R1R2 Cos θ2
+
+219
+00:28:19,830 --> 00:28:28,030
+minus 2R1R3
+
+220
+00:28:28,830 --> 00:28:34,890
+cos θ تلاتة زائد
+
+221
+00:28:34,890 --> 00:28:38,010
+اتنين
+
+222
+00:28:38,010 --> 00:28:51,030
+R اتنين R تلاتة في cos θ اتنين cos θ تلاتة زائد
+
+223
+00:28:51,030 --> 00:28:57,350
+sin θ اتنين sin θ تلاتة
+
+224
+00:29:06,070 --> 00:29:10,970
+اللحظة في المعادلة دي دي دي دي دي دي دي دي دي دي
+
+225
+00:29:10,970 --> 00:29:10,970
+دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي
+
+226
+00:29:10,970 --> 00:29:13,630
+دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي
+
+227
+00:29:13,630 --> 00:29:13,730
+دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي
+
+228
+00:29:13,730 --> 00:29:18,110
+دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي
+
+229
+00:29:18,110 --> 00:29:18,150
+دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي
+
+230
+00:29:18,150 --> 00:29:18,150
+دي دي دي دي دي دي دي دي دي دي دي دي
+
+231
+00:29:32,950 --> 00:29:37,270
+بنحل طبعا معادلة non-linear بنحل بالنسبة ل ..
+
+232
+00:29:37,270 --> 00:29:43,450
+لثيتا تلاتة solve solve
+
+233
+00:29:43,450 --> 00:29:49,770
+solve خمسة
+
+234
+00:29:49,770 --> 00:29:59,490
+for ثيتا تلاتة بعد أن حل خمسة for ثيتا تلاتة بنعود
+
+235
+00:29:59,490 --> 00:30:11,860
+فيفي معادلة و بعدين substitute about
+
+236
+00:30:11,860 --> 00:30:15,120
+theta
+
+237
+00:30:15,120 --> 00:30:21,340
+تلاتة in أربعة
+
+238
+00:30:21,340 --> 00:30:35,460
+then solve for theta أربعةمعناته احنا بمعرفتنا
+
+239
+00:30:35,460 --> 00:30:43,680
+لأطوار ال link R1 وR2 وR3 وR4 بمعرفتنا حركة ال
+
+240
+00:30:43,680 --> 00:30:48,680
+link 2 يعني عارفين ال theta 2 استطعنا نحسب اللي هو
+
+241
+00:30:48,680 --> 00:30:54,700
+ال theta 3 و ال theta 4 وعشان احل ال theta 3 و ال
+
+242
+00:30:54,700 --> 00:30:58,380
+theta 4 فعندي معدلتين المجهولين المجهولين هم ال
+
+243
+00:30:58,380 --> 00:31:05,790
+theta 3وثيتا أربعة ثيتا تلاتة وثيتا أربعة بحل
+
+244
+00:31:05,790 --> 00:31:10,030
+المعادلتين هدول بحصل ثيتا تلاتة وثيتا أربعة so far
+
+245
+00:31:10,030 --> 00:31:14,830
+I define اللي هو displacement and rotation so far
+
+246
+00:31:14,830 --> 00:31:21,230
+so far we
+
+247
+00:31:21,230 --> 00:31:25,150
+solve for
+
+248
+00:31:25,150 --> 00:31:28,030
+displacement
+
+249
+00:31:33,850 --> 00:31:39,190
+and rotation of
+
+250
+00:31:39,190 --> 00:31:48,150
+the lengths يعني
+
+251
+00:31:48,150 --> 00:31:57,250
+انا مطلوب ان احل بعد هيك ال velocity علشان احل ال
+
+252
+00:31:57,250 --> 00:32:00,130
+velocity خلينا نمسح
+
+253
+00:32:07,740 --> 00:32:13,080
+الان هعمل velocity analysis
+
+254
+00:32:13,080 --> 00:32:23,300
+الان
+
+255
+00:32:23,300 --> 00:32:28,960
+velocity analysis
+
+256
+00:32:28,960 --> 00:32:30,520
+تحليل سرعات
+
+257
+00:32:35,170 --> 00:32:40,850
+عشان احل سرعات باشتق المعادلة واحد اتنين بالنسبة
+
+258
+00:32:40,850 --> 00:32:50,350
+للزمن differentiate one
+
+259
+00:32:50,350 --> 00:33:00,390
+and two with respect to time بالنسبة للزمن لما
+
+260
+00:33:00,390 --> 00:33:04,090
+اشتق ال R واحد constant مش تقرا ايش هكون سفر
+
+261
+00:33:06,610 --> 00:33:19,270
+هتكون هنا عندي R2 هتكون minus R2 في sin θ2 في dθ2
+
+262
+00:33:19,270 --> 00:33:29,110
+by dt مشتقت الكساية و مشتقت اللي جوا minus R3 sin
+
+263
+00:33:29,110 --> 00:33:35,510
+θ3 في dθ3 by dt
+
+264
+00:33:38,200 --> 00:33:49,520
+-r4 sin θ4 dθ4 by dt هذه المعادلة رقم واحد اشتقاق
+
+265
+00:33:49,520 --> 00:34:02,300
+المعادلة التالين سفر هتساوي r2 cos θ2 dθ2 by dt
+
+266
+00:34:02,300 --> 00:34:24,440
+زاد r3cos θ3 dθ3 by dt زائد R4 في cos θ4 dθ4 by dt
+
+267
+00:34:32,610 --> 00:34:36,930
+الان اللي هو dθ و dθ هي معدل تغير الزاوية 2
+
+268
+00:34:36,930 --> 00:34:43,190
+بالنسبة لزمانات و تمثل سرعة زاوية dθ
+
+269
+00:34:43,190 --> 00:34:46,350
+او دعوني اقول اوميجا اتنين اللي هي السرعة الزاوية
+
+270
+00:34:46,350 --> 00:34:52,270
+لل link اتنين اللي هي dθ اتنين by dt او اوميجا
+
+271
+00:34:52,270 --> 00:35:01,310
+تلاتة بالساوية dθ تلاتة by dtوميجا اربعة بس هو دي
+
+272
+00:35:01,310 --> 00:35:08,610
+ثيتا اربعة by دي تي طيب
+
+273
+00:35:08,610 --> 00:35:16,750
+معناته خلينا نرتب المعادلة هذه هتصير صفر بتساوي
+
+274
+00:35:16,750 --> 00:35:25,490
+ونشيل ال minus هتصير R اتنين اوميجا اتنين صين ثيتا
+
+275
+00:35:25,490 --> 00:35:39,040
+اتنينزاد R تلاتة Omega تلاتة Sine theta تلاتة زاد
+
+276
+00:35:39,040 --> 00:35:43,900
+R أربعة Omega
+
+277
+00:35:43,900 --> 00:35:51,320
+أربعة Sine theta أربعة المعادلة التانية هتكون صفر
+
+278
+00:35:51,320 --> 00:36:02,310
+بالسواء R اتنين Omega اتنينcos θ تلاتة زاد R تلاتة
+
+279
+00:36:02,310 --> 00:36:14,310
+omega تلاتة cos θ تلاتة زاد R أربعة omega أربعة
+
+280
+00:36:14,310 --> 00:36:16,890
+cos θ أربعة
+
+281
+00:36:31,050 --> 00:36:35,930
+خلّيني اجيب ال .. اجيب
+
+282
+00:36:35,930 --> 00:36:41,390
+ال R4 Omega 4 Sine Theta 4 على الجهة الشمال هصف
+
+283
+00:36:41,390 --> 00:36:45,390
+عندي هنا minus
+
+284
+00:36:45,390 --> 00:36:56,010
+R4 Omega 4 Sine Theta 4 بتساوي
+
+285
+00:36:56,010 --> 00:37:05,800
+R2وميجا اتنين ساين ثيتا اتنين زائد R تلاتة اوميجا
+
+286
+00:37:05,800 --> 00:37:12,740
+تلاتة ساين ثيتا تلاتة و
+
+287
+00:37:12,740 --> 00:37:16,280
+هجيب برضه ال R اربع و اوميجا اربعة على جهة الشمال
+
+288
+00:37:16,280 --> 00:37:21,900
+بيصير minus R اربعة اوميجا اربعة كو ساين ثيتا
+
+289
+00:37:21,900 --> 00:37:29,860
+اربعة بتساوي R اتنينوميجا اتنين كوصين ثيتا اتنين
+
+290
+00:37:29,860 --> 00:37:44,980
+زاد R تلاتة اوميجا تلاتة كوصين ثيتا تلاتة خلصها
+
+291
+00:37:44,980 --> 00:37:50,900
+هذه المعادلة معادلة رقم ستة هذه المعادلة رقم سبعة
+
+292
+00:37:50,900 --> 00:37:54,120
+لاحظوا
+
+293
+00:38:01,400 --> 00:38:07,500
+انا so far الزوايا حسبتهم θ تلاتة و θ أربعة محسبين
+
+294
+00:38:07,500 --> 00:38:15,540
+و أطوال ال links R2 و R3 و R4 معروفين و حركة ال
+
+295
+00:38:15,540 --> 00:38:22,400
+link two معروفة يعني omega two is known يعني بدي
+
+296
+00:38:22,400 --> 00:38:28,800
+احكي ال given R2
+
+297
+00:38:31,330 --> 00:38:40,970
+R3 و R4 و Omega 2 Already Theta 3 و Theta 4
+
+298
+00:38:40,970 --> 00:38:48,730
+Already Calculated And Theta 3 و Theta 4 Already
+
+299
+00:38:48,730 --> 00:38:58,030
+Calculated حسبناهم Solve
+
+300
+00:39:02,010 --> 00:39:16,010
+ستة and سبعة four Omega تلاتة and Omega أربعة طبعا
+
+301
+00:39:16,010 --> 00:39:25,570
+عشان حل المعادلة هذه ممكن
+
+302
+00:39:28,100 --> 00:39:34,660
+أقسم المعادلة 6 على المعادلة 7 يعني divide 6 over
+
+303
+00:39:34,660 --> 00:39:39,560
+7 divide
+
+304
+00:39:39,560 --> 00:39:45,080
+6
+
+305
+00:39:45,080 --> 00:39:48,100
+over 7
+
+306
+00:39:55,560 --> 00:40:03,860
+هذه طريقة بتروح ال omega اربعة بتروح او طريقة
+
+307
+00:40:03,860 --> 00:40:14,200
+تانية بربع معادلة ستة معادلة سبعة or
+
+308
+00:40:14,200 --> 00:40:19,260
+square
+
+309
+00:40:22,070 --> 00:40:39,170
+6 and 7 then add بعدين اجمعهم خليني
+
+310
+00:40:39,170 --> 00:40:43,610
+اربع احسس طريقة اربع يعني هذا هتصير R4 Omega 4
+
+311
+00:40:43,610 --> 00:40:49,570
+هتصير R4 تربيع Omega 4 تربيع
+
+312
+00:40:51,730 --> 00:41:05,650
+فى sin تربيع theta 4 زاد R4 omega 4 cosine تربيع
+
+313
+00:41:05,650 --> 00:41:17,390
+theta 4 هتساوي هربي الطرف هذا هتكون R2 omega 2
+
+314
+00:41:17,390 --> 00:41:18,410
+تربيع
+
+315
+00:41:20,830 --> 00:41:27,570
+Sin تربيع Theta Sin تربيع Theta اتنين زاد R اتنين
+
+316
+00:41:27,570 --> 00:41:35,030
+تربيع Omega اتنين تربيع Cos تربيع Theta اتنين زاد
+
+317
+00:41:35,030 --> 00:41:44,630
+R تلاتة تربيع Omega تلاتة تربيع Sin تربيع Theta
+
+318
+00:41:44,630 --> 00:41:50,840
+تلاتة زاد R تلاتة تربيعوميجا تلاتة تربية كوساين
+
+319
+00:41:50,840 --> 00:41:58,380
+تربية تيتا تلاتة زائد
+
+320
+00:41:58,380 --> 00:42:02,820
+اتنين اتنين
+
+321
+00:42:02,820 --> 00:42:14,180
+R اتنين اوميجا اتنين اوميجا
+
+322
+00:42:14,180 --> 00:42:26,330
+اتنين R اتنين اوميجا اتنينR ثلاثة Omega ثلاثة Sine
+
+323
+00:42:26,330 --> 00:42:39,130
+ثتا اتنين Sine ثتا اتنين Sine ثتا تلاتة زاد اتنين
+
+324
+00:42:39,130 --> 00:42:43,490
+R اتنين Omega اتنين R تلاتة Omega تلاتة
+
+325
+00:42:45,740 --> 00:42:55,920
+cos θ2 cos θ3 خلّين نبسط هذا ال term الأولاني
+
+326
+00:42:55,920 --> 00:43:00,340
+هيكون خطعة مشترك R4 Omega 4 تربيع زاد يعني هذا
+
+327
+00:43:00,340 --> 00:43:09,760
+هيكون هذا هسير R4 تربيع Omega 4 تربيع هيساوي هدول
+
+328
+00:43:09,760 --> 00:43:10,960
+ال two terms مع بعض
+
+329
+00:43:16,300 --> 00:43:19,000
+لأن صين تربيع زاد تكون صين تربيع واحد هتكون سواء R
+
+330
+00:43:19,000 --> 00:43:27,900
+تنين تربيع Omega تنين تربيع هقول التنين مع بعض زاد
+
+331
+00:43:27,900 --> 00:43:38,120
+R تلاتة تربيع Omega تلاتة تربيع زاد بدي اخد عامل
+
+332
+00:43:38,120 --> 00:43:42,540
+شراكتين R تنين Omega تنين
+
+333
+00:43:45,260 --> 00:43:52,880
+R ثلاثة Omega ثلاثة في Cos
+
+334
+00:43:52,880 --> 00:44:04,500
+θ تنين Cos θ تلاتة زائد Sin θ تنين Sin θ تلاتة
+
+335
+00:44:16,280 --> 00:44:21,260
+احنا .. لاحظوا في علنا خطأ هين اكتشفنا اذا بالربع
+
+336
+00:44:21,260 --> 00:44:25,000
+بتضالها omega تربية ماحلتش معناته هذا .. بده احكي
+
+337
+00:44:25,000 --> 00:44:32,420
+عنه هذا هذا this
+
+338
+00:44:32,420 --> 00:44:43,420
+method this method will not work ليش؟
+
+339
+00:44:43,420 --> 00:44:49,260
+لأنهفي we have still عندنا omega 3 و omega 4 موجود
+
+340
+00:44:49,260 --> 00:44:53,220
+في المعادل معناته أحسن اشي ان اقسم 6 على 7 لما
+
+341
+00:44:53,220 --> 00:45:00,340
+اقسم 6 على 7 بيصير اندي بتروح R4 مع R4 omega 4 مع
+
+342
+00:45:00,340 --> 00:45:07,180
+omega 4 بيصير اندي tan theta 4 tan theta
+
+343
+00:45:07,180 --> 00:45:12,220
+4 بتساوي R2
+
+344
+00:45:14,340 --> 00:45:23,260
+وميجا اتنين ساين تيتا اتنين زاد R تلاتة اوميجا
+
+345
+00:45:23,260 --> 00:45:33,080
+تلاتة ساين تيتا تلاتة على R
+
+346
+00:45:33,080 --> 00:45:42,900
+اتنين اوميجا اتنين كوساين تيتا اتنين زاد R تلاتة
+
+347
+00:45:43,920 --> 00:45:56,400
+وميجا تلاتة cosine تيتا تلاتة اتطلع
+
+348
+00:45:56,400 --> 00:46:02,540
+في المعادلة انا عندي R اتنين و R تلاتة ووميجا
+
+349
+00:46:02,540 --> 00:46:06,820
+اتنين ووميجا اتنين يعني كله معروف معادة اميجا
+
+350
+00:46:06,820 --> 00:46:14,580
+تلاتة خلنا نسمي هذه المعادلة رقم تمانيةطبعا هذه it
+
+351
+00:46:14,580 --> 00:46:19,440
+is nonlinear equation معناه I will I have to solve
+
+352
+00:46:19,440 --> 00:46:27,280
+it for omega تلاتة solve equation
+
+353
+00:46:27,280 --> 00:46:32,620
+تمانية for
+
+354
+00:46:34,770 --> 00:46:39,910
+وميجا تلاتة ممكن تستخدمه اللي هو mathematical
+
+355
+00:46:39,910 --> 00:46:45,510
+software زي MATLAB او MABEL او Mathematica او
+
+356
+00:46:45,510 --> 00:46:49,330
+MATCAD يعني في برانج كتير لحل معدلات غير خطية
+
+357
+00:46:49,330 --> 00:46:53,250
+بالشكل هذا طيب
+
+358
+00:46:53,250 --> 00:46:57,050
+so far احنا عملنا اللي هو ما يسمى velocity
+
+359
+00:46:57,050 --> 00:47:02,890
+analysis هنعمل acceleration analysis الآن هنعمل
+
+360
+00:47:02,890 --> 00:47:03,730
+acceleration analysis
+
+361
+00:47:12,940 --> 00:47:19,080
+الان صار معروف ان لحد اللحظة صار معروف ان كل أطوال
+
+362
+00:47:19,080 --> 00:47:24,660
+اللينكات معروفة ال motion بتاع link 2 معروفة theta
+
+363
+00:47:24,660 --> 00:47:29,460
+3 و theta 4 حسبناها من ال displacement analysis و
+
+364
+00:47:29,460 --> 00:47:35,060
+omega 3 و omega 4 حسبناها من ال velocity analysis
+
+365
+00:47:35,060 --> 00:47:37,660
+نعمل acceleration analysis
+
+366
+00:47:52,220 --> 00:47:56,400
+analysis نعمل acceleration analysis هنطلع على
+
+367
+00:47:56,400 --> 00:48:03,680
+معادلة ستة بالدشتق معادلة ستة وسبعة بالنسبة للزمن
+
+368
+00:48:03,680 --> 00:48:12,860
+differentiate equations
+
+369
+00:48:12,860 --> 00:48:29,380
+ستة وسبعةwith respect to time هاخد
+
+370
+00:48:29,380 --> 00:48:37,360
+ستة هكون اندي ناقص R أربعة فيه اللي انا عندي هين
+
+371
+00:48:37,360 --> 00:48:40,860
+two functions omega أربعة صينية أربعة مشتقت الأول
+
+372
+00:48:40,860 --> 00:48:45,400
+في التاني اللي هي d omega أربعة by dt
+
+373
+00:48:48,230 --> 00:48:51,110
+مشتقة الامجا السرعة الزاوية بتعطينا عجل الزاوية
+
+374
+00:48:51,110 --> 00:48:55,910
+يعني هتكون دي
+
+375
+00:48:55,910 --> 00:49:05,150
+امجا اربع by دي تي في cosine
+
+376
+00:49:05,150 --> 00:49:13,770
+ثيتا اربع زائد الاول مشتقة التانية امجا اربع في
+
+377
+00:49:13,770 --> 00:49:26,490
+cosine ثيتا اربعD θ اربعة by DT بتساوي R
+
+378
+00:49:26,490 --> 00:49:30,890
+اتنين في
+
+379
+00:49:30,890 --> 00:49:49,210
+D Omega اتنينby dt sin θ2 زائد omega 2 في cos θ2
+
+380
+00:49:49,210 --> 00:49:57,430
+في dθ2 by dt زائد
+
+381
+00:49:57,430 --> 00:50:02,790
+R3 في
+
+382
+00:50:02,790 --> 00:50:15,160
+d omega 3by dt sin θ3 ز دي
+
+383
+00:50:15,160 --> 00:50:29,190
+omega نئ ز omega 3 cos θ3 d omega 3 d θ3 by dtهذا
+
+384
+00:50:29,190 --> 00:50:34,070
+اشتقاق المعادلة هذا اشتقاق المعادلة 6 اشتقاق
+
+385
+00:50:34,070 --> 00:50:40,250
+المعادلة 7 هيكون minus R4
+
+386
+00:50:40,250 --> 00:50:48,850
+في مشتقة ال Omega اللي هي D Omega 4 by DT زاد
+
+387
+00:50:48,850 --> 00:50:55,250
+Omega 4 مشتقة ال cosine اللي هي minus Omega 4 Sine
+
+388
+00:50:55,250 --> 00:51:08,590
+Theta 4D θ اربع by DT بتساوي R
+
+389
+00:51:08,590 --> 00:51:12,270
+اتنين في
+
+390
+00:51:12,270 --> 00:51:21,670
+D Omega اتنين by DT Cos أنا هنا غلطان
+
+391
+00:51:25,290 --> 00:51:34,510
+يعني دي cosine theta اربع minus omega اربع sine
+
+392
+00:51:34,510 --> 00:51:45,910
+theta اربع d theta اربع by dt يعني دي omega اتنين
+
+393
+00:51:45,910 --> 00:51:54,210
+by dt في cosine theta اتنين minus omega اتنين في
+
+394
+00:51:54,210 --> 00:52:15,640
+sineθ2 في dθ2 by dt زائد R3 في dω3 by dt في cos θ3
+
+395
+00:52:15,640 --> 00:52:18,300
+minus ω3
+
+396
+00:52:20,170 --> 00:52:33,970
+فى sin θ تلاتة فى d θ تلاتة by dt هذا
+
+397
+00:52:33,970 --> 00:52:38,610
+شقاق معادل ست هذا شقاق معادل سبعة الآن احنا بنعرف
+
+398
+00:52:38,610 --> 00:52:46,500
+انه التاليعندي اللي هو دي اميجا اتنين by دي تي
+
+399
+00:52:46,500 --> 00:52:53,020
+بتساوي الف اتنين و دي ثيتا اتنين by دي تي اللي هي
+
+400
+00:52:53,020 --> 00:52:59,840
+اميجا اتنين وعندي دي اميجا تلاتة by دي تي اللي هي
+
+401
+00:52:59,840 --> 00:53:04,960
+الف تلاتة العجل الزاوية و دي ثيتا تلاتة by دي تي
+
+402
+00:53:04,960 --> 00:53:12,360
+اللي هي اميجا تلاتةو D Omega 4 by D T اللي هي
+
+403
+00:53:12,360 --> 00:53:25,000
+Alpha 4 و D Theta 4 by D T اللي هي Omega 4 انعوض
+
+404
+00:53:25,000 --> 00:53:35,180
+هنا انبسط
+
+405
+00:53:35,180 --> 00:53:36,940
+حسيني Minus R 4
+
+406
+00:53:42,560 --> 00:53:56,760
+فى الف أربعة صين ثيتا أربعة زاد أميجا أربعة تربيع
+
+407
+00:53:56,760 --> 00:54:13,060
+كوصين ثيتا أربعة بتستاوى R اتنين فى الف اتنينSin
+
+408
+00:54:13,060 --> 00:54:21,840
+θ2 زاد ω2 تربية Cos
+
+409
+00:54:21,840 --> 00:54:24,860
+θ2
+
+410
+00:54:24,860 --> 00:54:30,600
+زاد R3
+
+411
+00:54:30,600 --> 00:54:34,380
+R3
+
+412
+00:54:34,380 --> 00:54:50,320
+في Alpha 3Sin θ تلاتة زاد Omega تلاتة تربيع Cos θ
+
+413
+00:54:50,320 --> 00:55:03,780
+تلاتة كمان
+
+414
+00:55:03,780 --> 00:55:11,830
+مرةالمعادة الـ minus R4 في الف أربعة صين ثيتا صين
+
+415
+00:55:11,830 --> 00:55:15,830
+ثيتا أربعة بذلك مجرد هيكو صين ثيتا أربعة بيستوي R2
+
+416
+00:55:15,830 --> 00:55:23,650
+الف اتنين صين كوسين صين كوسين هذه هسميها معادلة
+
+417
+00:55:23,650 --> 00:55:27,550
+التسعة معادة
+
+418
+00:55:27,550 --> 00:55:32,570
+العشرة اللي هي هذه هيكون ال minus R4
+
+419
+00:55:34,990 --> 00:55:44,210
+في Alpha أربعة Cos Theta أربعة Minus Omega أربعة
+
+420
+00:55:44,210 --> 00:55:56,330
+تربية Sin
+
+421
+00:55:56,330 --> 00:56:01,290
+Theta أربعة بتساوي
+
+422
+00:56:01,290 --> 00:56:09,890
+R اتنينفي الف اتنين cosine
+
+423
+00:56:09,890 --> 00:56:20,430
+theta اتنين minus omega اتنين تربيع sine theta
+
+424
+00:56:20,430 --> 00:56:32,170
+اتنين زائد R تلاتة في الف تلاتة cosine theta تلاتة
+
+425
+00:56:33,530 --> 00:56:43,650
+minus omega تلاتة تربية sin theta تلاتة هذه
+
+426
+00:56:43,650 --> 00:56:53,530
+معادلة رقم عشرة الان
+
+427
+00:56:53,530 --> 00:56:57,670
+اتطلع في المعادلة التاسعة و عشرة عند R اتنين و R
+
+428
+00:56:57,670 --> 00:57:02,020
+تلاتة و R أربعة هي أطوال ال links معروفةحركة ال
+
+429
+00:57:02,020 --> 00:57:09,000
+link 2 معروفة يعني theta 2 معروفة already احنا
+
+430
+00:57:09,000 --> 00:57:13,440
+حسبنا theta 3 و theta 4 معروفين theta 3 و theta 4
+
+431
+00:57:13,440 --> 00:57:16,600
+معناته صاروا و already حسبنا من ال velocity
+
+432
+00:57:16,600 --> 00:57:21,300
+analysis omega 3 و omega 4 معناته اللي عندهين
+
+433
+00:57:21,300 --> 00:57:29,140
+مجهولين اللي هى alpha 3 و alpha 4 الآن هنحكي
+
+434
+00:57:29,140 --> 00:57:30,040
+التالي معناته
+
+435
+00:57:34,620 --> 00:57:41,420
+solve solve تسعة
+
+436
+00:57:41,420 --> 00:57:52,260
+وعشرة four الف
+
+437
+00:57:52,260 --> 00:58:01,300
+تلاتة and الف أربعة طيب
+
+438
+00:58:06,150 --> 00:58:10,590
+طبعا هي انبينة معقدة بس هي الصحية طريقة بسيطة جدا
+
+439
+00:58:10,590 --> 00:58:14,730
+و فعالة اذا انا بدى ابرمج عملية الحساب يعني بدى
+
+440
+00:58:14,730 --> 00:58:18,710
+اعملها برنامج على الكمبيوتر سواء ماتلاب اتماتيكا
+
+441
+00:58:18,710 --> 00:58:25,170
+مابل او c++ او جافة whatever ال softwareبرمجتها
+
+442
+00:58:25,170 --> 00:58:31,010
+سهلة جدا لكن كنت أنتبه لل .. لل .. لل angular
+
+443
+00:58:31,010 --> 00:58:37,670
+notation دايما بحط في ال tail بتاع ال vector بتاع
+
+444
+00:58:37,670 --> 00:58:43,050
+ال link بحط local coordinate system والزوايا تقاس
+
+445
+00:58:43,050 --> 00:58:49,450
+من ال X X axisوبندور بعكس عقارب الساعة لحد ما نصل
+
+446
+00:58:49,450 --> 00:58:53,510
+ال vector يعني مثلا هاي تيتا اتنين هاي ال X هاي
+
+447
+00:58:53,510 --> 00:58:57,250
+تيتا اتنين تيتا ثالث هاي ال X تيتا اربعة هاي ال X
+
+448
+00:58:57,250 --> 00:59:10,410
+بلف لحد ما اصل تيتا اربعة طبعا
+
+449
+00:59:10,410 --> 00:59:16,800
+لما انتحلوها على الحسوب رياضياهتطلع أكتر من
+
+450
+00:59:16,800 --> 00:59:20,220
+solution جربوا حلوها على الكمبيوتر هيطلع أكتر من
+
+451
+00:59:20,220 --> 00:59:28,160
+solution لإنه عندي sine و cosine ال .. ال .. ال
+
+452
+00:59:28,160 --> 00:59:30,600
+sine مثلا بتكون موجبة في الربع الأول و الربع
+
+453
+00:59:30,600 --> 00:59:34,080
+التاني هي .. هي .. هي .. هي عندي حلين ال sine
+
+454
+00:59:34,080 --> 00:59:38,960
+بتكون سالبة في الربع التالت و الرابعال cosine
+
+455
+00:59:38,960 --> 00:59:43,680
+بتكون موجبة في الربع الأول و الرابع الرابع و بتكون
+
+456
+00:59:43,680 --> 00:59:50,120
+سالبة في الربع التاني و التالت التان
+
+457
+00:59:50,120 --> 00:59:54,140
+بتكون موجبة في الربع الأول و الرابع التالت و سالبة
+
+458
+00:59:54,140 --> 00:59:56,660
+في الربع التاني و الرابع الرابع
+
+459
+00:59:59,410 --> 01:00:03,710
+طيب هذا هو ال complex number analysis لو انا بدى
+
+460
+01:00:03,710 --> 01:00:07,310
+اعمل .. يعني خليني اعمل كل startup ل Slider Crank
+
+461
+01:00:07,310 --> 01:00:09,610
+Mechanism نعملها complex number analysis بنفس
+
+462
+01:00:09,610 --> 01:00:11,530
+الطريقة .. همسح اللوح بس
+
+463
+01:00:46,420 --> 01:00:49,760
+اللي هو عندي slider crank mechanism اللي هي بشكلها
+
+464
+01:00:49,760 --> 01:01:01,160
+بيجي عندي crank عندي
+
+465
+01:01:01,160 --> 01:01:05,800
+connecting rod عندي
+
+466
+01:01:05,800 --> 01:01:12,200
+slider خلنا نسمي هذه A B C
+
+467
+01:01:14,850 --> 01:01:19,710
+الأرض link واحد ال
+
+468
+01:01:19,710 --> 01:01:26,670
+crank link اتنين ال connecting rod link رقم تلاتة
+
+469
+01:01:26,670 --> 01:01:36,290
+ال slider link رقم اربعة اذا
+
+470
+01:01:36,290 --> 01:01:38,830
+بتدحل باستخدام ال complex number analysis
+
+471
+01:01:42,070 --> 01:01:53,130
+بدي اعرف define ال vector R2 هذا
+
+472
+01:01:53,130 --> 01:02:03,350
+ال R2 وهي ال local X تبعه وال Y هذا الزاوية θتا
+
+473
+01:02:03,350 --> 01:02:08,730
+اتنين وال vector تعلين تلاتة
+
+474
+01:02:14,390 --> 01:02:24,230
+هذا R تلاتة هاي ال X ال local X وهي ال local Y و
+
+475
+01:02:24,230 --> 01:02:32,730
+ال angle θ تلاتة هذه ال θ تلاتة
+
+476
+01:02:32,730 --> 01:02:36,210
+المرة
+
+477
+01:02:36,210 --> 01:02:39,530
+انا هضلني ماشي لحد يعني اندي هذه رايحك هيك وهذه
+
+478
+01:02:39,530 --> 01:02:40,210
+هتكون ايش
+
+479
+01:02:47,600 --> 01:02:51,980
+هذه R1 لاحظوا
+
+480
+01:02:51,980 --> 01:02:57,640
+θ1 الآن مش سفر لأن هاي ال X ال local X هاي ال
+
+481
+01:02:57,640 --> 01:03:02,800
+local X هاي ال local Y الثتا واحد هاي الثتا واحد
+
+482
+01:03:02,800 --> 01:03:11,220
+الثتا واحد ايش تساوي؟ مية و تمانين درجة مش سفر طيب
+
+483
+01:03:11,220 --> 01:03:15,740
+ك vectors و هيكون عندي R1
+
+484
+01:03:18,800 --> 01:03:30,040
+R2 زاد R3 زاد R1 بالثورة سفر لأنه بتسكر ال polygon
+
+485
+01:03:30,040 --> 01:03:38,780
+بتسكر باتجاه عقارب الساعة زي
+
+486
+01:03:38,780 --> 01:03:47,370
+السابق R1 هتكون R1 exponential I theta 1و R اتنين
+
+487
+01:03:47,370 --> 01:03:53,030
+عبارة عن R اتنين exponential I theta اتنين و R
+
+488
+01:03:53,030 --> 01:04:02,270
+تلاتة R تلاتة exponential I theta تلاتة
+
+489
+01:04:02,270 --> 01:04:05,610
+لحظة
+
+490
+01:04:05,610 --> 01:04:10,790
+هذه .. هذه .. هذه .. هذه R .. هذه عندك .. هذه مش R
+
+491
+01:04:10,790 --> 01:04:16,500
+واحد هذه .. هذه R أربعةهذه R أربعة هكون عنده يعني
+
+492
+01:04:16,500 --> 01:04:27,800
+مصحح زائد R أربعة هي R أربعة وهي R أربعة يعني هكون
+
+493
+01:04:27,800 --> 01:04:40,480
+عنده R اتنين exponential I theta اتنينزائد R ثلاثة
+
+494
+01:04:40,480 --> 01:04:47,920
+exponential I ثتا ثلاثة زائد R أربعة exponential I
+
+495
+01:04:47,920 --> 01:04:54,720
+ثتا أربعة بساوي سفر يعني
+
+496
+01:04:54,720 --> 01:04:56,860
+هذا هيكون ال real part و ليس ال general part ال
+
+497
+01:04:56,860 --> 01:05:06,720
+real part هيكون R اتنين cosine ثتا اتنين زائدR
+
+498
+01:05:06,720 --> 01:05:14,620
+تلاتة Cos θ تلاتة زاد R أربعة Cos θ أربعة بساوة
+
+499
+01:05:14,620 --> 01:05:18,440
+سفر احنا
+
+500
+01:05:18,440 --> 01:05:21,620
+عارفين ال θ أربعة هذا ال θ أربعة مش تتا و هات تتا
+
+501
+01:05:21,620 --> 01:05:25,000
+اربعة سمية وانت مانعته cosine هاي ال cosine ال
+
+502
+01:05:25,000 --> 01:05:27,320
+sine ال cosine هاي ال cosine
+
+503
+01:05:31,000 --> 01:05:38,180
+الكوصين ال 180 هي سفر تسعين مية و تمانين ال كوصين
+
+504
+01:05:38,180 --> 01:05:42,460
+ال مية و تمانين بالساوي سالب واحد يعني هكون دي R
+
+505
+01:05:42,460 --> 01:05:50,180
+اتنين كوصين ثيتا اتنين زاد R تلاتة كوصين ثيتا
+
+506
+01:05:50,180 --> 01:05:57,740
+تلاتة minus R اربعة بالساوي سفر
+
+507
+01:05:59,720 --> 01:06:10,000
+يعني انا هسير ان دي R4 بيساوي R2 Cos θ2 زاد R3 Cos
+
+508
+01:06:10,000 --> 01:06:15,720
+θ3 هذا معادلة واحد هذا ال real ال imaginary
+
+509
+01:06:15,720 --> 01:06:19,500
+المعادلة
+
+510
+01:06:19,500 --> 01:06:32,700
+هذه هتكون R2 Sin θ2 زاد R3 Sin θ3زاد R4 Sine Theta
+
+511
+01:06:32,700 --> 01:06:37,440
+4 بالساوية سفر هذا طبعا ليش حيكون ساوية سفر لو
+
+512
+01:06:37,440 --> 01:06:40,380
+تيتا اربعة و مية و اتنين ال Sine مية و اتنين
+
+513
+01:06:40,380 --> 01:06:49,220
+بالساوية سفر معناته R2 Sine Theta 2 زاد R3 Sine
+
+514
+01:06:49,220 --> 01:06:53,720
+Theta 3 بالساوية سفر هذه معادلة رقم 2
+
+515
+01:07:15,980 --> 01:07:19,460
+أنا حيكون معروف عندى ال motion بتاعة الكراينك
+
+516
+01:07:19,460 --> 01:07:25,560
+بتكون معروف given R2
+
+517
+01:07:25,560 --> 01:07:38,500
+أطول الانكاتو R3 أو θ2 find θ3
+
+518
+01:07:38,500 --> 01:07:42,560
+find
+
+519
+01:07:42,560 --> 01:07:50,210
+R4and لأنه قرروا متغيرة بيفتحوا و ضموا and ثيتا
+
+520
+01:07:50,210 --> 01:08:08,850
+تلاتة من معادل اتنين from two
+
+521
+01:08:08,850 --> 01:08:14,450
+الطلاق اللي بفضل اكتب المعادلات عن نحو التالي لسبب
+
+522
+01:08:16,440 --> 01:08:23,460
+لأن هحكي R تلاتة من واحد من واحد R تلاتة R تلاتة
+
+523
+01:08:23,460 --> 01:08:29,120
+cosine theta تلاتة بتساوي
+
+524
+01:08:29,120 --> 01:08:39,300
+R أربعة minus R اتنين cosine theta اتنين من هذه R
+
+525
+01:08:39,300 --> 01:08:50,200
+تلاتة او minus R تلاتة sin theta تلاتةبالساوية R2
+
+526
+01:08:50,200 --> 01:08:56,160
+Sine Theta 2 و
+
+527
+01:08:56,160 --> 01:09:03,120
+Square
+
+528
+01:09:03,120 --> 01:09:07,840
+و أجمعهم Square و
+
+529
+01:09:07,840 --> 01:09:15,020
+Square و أجمع هتكون عندي R تلاتة تربيعR cos تربيع
+
+530
+01:09:15,020 --> 01:09:22,680
+θ تلاتة زاد R تلاتة تربيع sin θ تلاتة تربيع هتساوي
+
+531
+01:09:22,680 --> 01:09:29,960
+R اتنين تربيع cos تربيع θ تلاتة اتنين زاد R اتنين
+
+532
+01:09:29,960 --> 01:09:37,940
+تربيع sin تربيع θ تلاتة اتنين زاد R اربعة تربيع
+
+533
+01:09:37,940 --> 01:09:43,240
+minus اتنين R اتنين
+
+534
+01:09:46,170 --> 01:09:57,230
+R4 Cos θ2 هذا سيصفى هذا R3 تربيع Cos تربيع زد R3
+
+535
+01:09:57,230 --> 01:10:02,970
+تربيع Sin تربيع R3 تربيع سيصفى هذا R2 تربيع Cos
+
+536
+01:10:02,970 --> 01:10:10,970
+تربيع زد R2 تربيع Sin تربيع عبارة عن R2 تربيع R2
+
+537
+01:10:10,970 --> 01:10:11,570
+تربيع
+
+538
+01:10:14,380 --> 01:10:23,380
+زاد R أربعة تربية minus اتنين R اتنين R أربعة
+
+539
+01:10:23,380 --> 01:10:27,320
+cosine theta اتنين خلّيني ارتب المعادلة حسيب ان
+
+540
+01:10:27,320 --> 01:10:35,880
+عندي R أربعة تربية R أربعة تربية ناقص اتنين R
+
+541
+01:10:35,880 --> 01:10:42,340
+اتنين R اتنين cosine theta اتنين
+
+542
+01:10:45,140 --> 01:10:46,440
+R4
+
+543
+01:10:51,620 --> 01:10:55,540
+يعني أخدت ال term هذا و ال term هذا زاد R اتنين
+
+544
+01:10:55,540 --> 01:11:02,320
+تربيع minus R تلاتة تربيع بالثواب سفر يعني هذه
+
+545
+01:11:02,320 --> 01:11:09,620
+تقريبا على شكل صيغة المعدلة AX تربيع زاد BX زاد C
+
+546
+01:11:09,620 --> 01:11:12,940
+بالثواب سفر الروس في الحلقة بتكون X والثواب minus
+
+547
+01:11:12,940 --> 01:11:18,340
+B زاد او ناقص الجزير التربيعي ل B تربيع minus 4AC
+
+548
+01:11:19,840 --> 01:11:25,460
+على اتنين ايه يعني معناته ال R اربعة ال R اربعة
+
+549
+01:11:25,460 --> 01:11:34,600
+هتساوي ال B minus B هتكون اتنين R اتنين cosine
+
+550
+01:11:34,600 --> 01:11:41,400
+theta اتنين زاد او ناقص الجزر التربيعي ال B تربيعي
+
+551
+01:11:41,400 --> 01:11:50,530
+اللي هادر اربعةR2 تربيع Cos تربيع ثيتا اتنين minus
+
+552
+01:11:50,530 --> 01:12:03,550
+أربعة A1 أربعة في A في C minus أربعة في R2 تربيع
+
+553
+01:12:03,550 --> 01:12:10,010
+minus R تلاتة تربيع على
+
+554
+01:12:13,030 --> 01:12:18,730
+اتنين لاحظوا دايما او بده احكي يعني most commonly
+
+555
+01:12:18,730 --> 01:12:26,330
+يعني R2 R3 اكبر من R2 R3 اكبر من R2 معناته هذا ال
+
+556
+01:12:26,330 --> 01:12:31,670
+term هيكون موجب معناته هذا ال term هيكون هذا ايش؟
+
+557
+01:12:31,670 --> 01:12:33,890
+هذا ال term اكبر من هذا ال term معناته الإشارة
+
+558
+01:12:33,890 --> 01:12:37,270
+السالة مرفوضة الإشارة السالة هتكون مرفوضة هذه
+
+559
+01:12:37,270 --> 01:12:49,680
+هتصبح R4 هتكون ساوىR2 cos θ2 زاد جزر التربيع
+
+560
+01:12:49,680 --> 01:13:02,920
+لاربعة R2 تربيع cos تربيع θ2 زاد اربعة في R3 تربيع
+
+561
+01:13:02,920 --> 01:13:09,140
+ماقص R2 تربيع كله علياش على اتنين
+
+562
+01:13:13,690 --> 01:13:20,030
+كله على اتنين طيب انا ليش عملت .. يبدو انا كالكعت
+
+563
+01:13:20,030 --> 01:13:23,010
+الأمور بس لا انا ما كالكعتاش لسبب بسيط لو روحت
+
+564
+01:13:23,010 --> 01:13:33,590
+حكيت انا انه حكيت انه استخدمت المعادلة هذه يعني
+
+565
+01:13:33,590 --> 01:13:40,790
+ب سي برضه اقسم يعنيلازم أعملها على شكل صيغة tan
+
+566
+01:13:40,790 --> 01:13:45,590
+الأن بتاخد هذه أقسم هذه على هذه بيصير أن دي minus
+
+567
+01:13:45,590 --> 01:13:58,430
+R تلاتة tan theta تلاتة بتساوي R
+
+568
+01:13:58,430 --> 01:14:02,650
+اتنين sine
+
+569
+01:14:02,650 --> 01:14:05,290
+theta اتنين
+
+570
+01:14:07,070 --> 01:14:14,790
+على R4 minus
+
+571
+01:14:14,790 --> 01:14:28,990
+R2 minus R2 cosine theta 2 ومن
+
+572
+01:14:28,990 --> 01:14:35,030
+هنا بحسب tan theta 3 tan theta
+
+573
+01:14:35,030 --> 01:14:35,490
+3
+
+574
+01:14:41,810 --> 01:14:47,250
+بالساوية R2 sin
+
+575
+01:14:47,250 --> 01:15:03,050
+θ2 على R3 في R2 cos θ2-R4 يعني
+
+576
+01:15:03,050 --> 01:15:14,440
+انا عرفت R4 وعرفت θ3عرفت R أربعة و Theta تلاتة طيب
+
+577
+01:15:14,440 --> 01:15:19,920
+انتبهوا إذا بتكون تبرمجوها .. لما تبرمجوها بتكون
+
+578
+01:15:19,920 --> 01:15:22,940
+تشوفوا الزوايا make sense ولا does not make sense
+
+579
+01:15:22,940 --> 01:15:28,560
+إيش يعني make sense أو does not make sense يعني ..
+
+580
+01:15:28,560 --> 01:15:32,420
+يعني .. يعني .. بدك .. يعني أنا بفضل إذا بدت برمج
+
+581
+01:15:32,420 --> 01:15:37,430
+على ال math labتكون عملية الحساب مقرونة ب
+
+582
+01:15:37,430 --> 01:15:42,030
+graphical user interface عشان تشوف أوضاع ال
+
+583
+01:15:42,030 --> 01:15:48,270
+mechanism for theta 2 من صفر ل تلت مية و ستين
+
+584
+01:15:48,270 --> 01:15:53,620
+درجة، بتكشف يعطيك position أو وضعية غير منطقيةو
+
+585
+01:15:53,620 --> 01:15:57,800
+سواء حسابات الزوايا فيه زوايا بتكون ال sign بتكون
+
+586
+01:15:57,800 --> 01:16:00,360
+موجودة في الرابع الأول و الرابع التاني ال cosine
+
+587
+01:16:00,360 --> 01:16:03,680
+موجودة في الرابع الأول و الرابع التاني موجودة في
+
+588
+01:16:03,680 --> 01:16:06,860
+الرابع الأول و التالت و ثالث رابع التاني و رابع
+
+589
+01:16:06,860 --> 01:16:10,740
+الرابع هذه بتعمل ممكن تعمل مشاكل في البرمجة يعني
+
+590
+01:16:10,740 --> 01:16:14,420
+عندك برمجة تنتبه للتفاصيل هذه طيب احنا بالطريقة
+
+591
+01:16:14,420 --> 01:16:18,340
+هذه حسبنا حسبنا اللي هو عملنا displacement and
+
+592
+01:16:18,340 --> 01:16:20,980
+rotation analysis اللي هنعمل velocity analysis
+
+593
+01:16:20,980 --> 01:16:22,760
+velocity
+
+594
+01:16:29,200 --> 01:16:32,500
+analysis عشان انا في list analysis دي اشتغل
+
+595
+01:16:32,500 --> 01:16:35,780
+المعادلة واحد واتنى بالنسبالي الزمن differentiate
+
+596
+01:16:35,780 --> 01:16:44,440
+differentiate one and two with respect to time
+
+597
+01:16:44,440 --> 01:16:47,660
+المعادلة
+
+598
+01:16:47,660 --> 01:16:52,400
+رقم واحد ار اربعة هذه ثابتة ولا متغيرة؟ متغيرة
+
+599
+01:16:52,400 --> 01:17:03,840
+معناه ان فيش تقاق دي ار اربعةby dt هتساوى minus
+
+600
+01:17:03,840 --> 01:17:11,680
+r2 cosine theta 2 minus r2 sine theta 2 minus r2
+
+601
+01:17:11,680 --> 01:17:22,980
+sine theta 2 d theta 2 by dt minus r3 sine theta 3
+
+602
+01:17:22,980 --> 01:17:31,230
+d theta 3 by dtاحنا بنعرف ان اوميجا اتنين بالساوية
+
+603
+01:17:31,230 --> 01:17:34,930
+دي ثيتا اتنين by دي تي اوميجا اتنين هي السرعة
+
+604
+01:17:34,930 --> 01:17:40,170
+الزاوية لل link اتنين والاوميجا تلاتة بالساوية دي
+
+605
+01:17:40,170 --> 01:17:48,110
+ثيتا تلاتة by دي تي والبلاستي لل slider اللي هو V4
+
+606
+01:17:48,110 --> 01:17:52,730
+بالساوية DR4 by دي تي
+
+607
+01:17:57,800 --> 01:18:05,040
+بتساوي minus R اتنين Omega اتنين Sine ثتا اتنين
+
+608
+01:18:05,040 --> 01:18:13,300
+minus R تلاتة Omega تلاتة Sine ثتا تلاتة هذه
+
+609
+01:18:13,300 --> 01:18:19,940
+معادلة هسميها معادلة رقم تلاتة نشتق معادلة اتنين
+
+610
+01:18:19,940 --> 01:18:32,530
+هكون دي R اتنين Omega اتنين R اتنينcos θ2 dθ2 by
+
+611
+01:18:32,530 --> 01:18:47,330
+dt زائد R3 cos θ3 dθ3 by dt بالساوية صفر هنعمل
+
+612
+01:18:47,330 --> 01:18:57,090
+Simplification هسياندي R2 Omega 2 cos θ2 زائد R3
+
+613
+01:18:58,030 --> 01:19:05,510
+وميجا تلاتة كوصين ثيتا تلاتة بتساوء سفر احنا so
+
+614
+01:19:05,510 --> 01:19:09,770
+far ال motion telling two معروفة يعني R2 معروفة
+
+615
+01:19:09,770 --> 01:19:13,490
+ووميجا تلاتة معروفة وثيتا اتنين معروفة و already
+
+616
+01:19:13,490 --> 01:19:21,310
+حسبنا already حسبنا اللي هو هذا معادل اربع و
+
+617
+01:19:21,310 --> 01:19:27,240
+already حسبنا ثيتا تلاتةمعناة بقدر احسب ايش من
+
+618
+01:19:27,240 --> 01:19:30,820
+معادلة اربعة بممكن احسب omega تلاتة from equation
+
+619
+01:19:30,820 --> 01:19:42,080
+four from four بنحسب omega تلاتة بالسواء minus R
+
+620
+01:19:42,080 --> 01:19:51,060
+اتنين omega اتنين cosine theta اتنين على R تلاتة
+
+621
+01:19:51,060 --> 01:19:58,810
+cosine theta تلاتةخلاص فاسموت معناته و من تلاتة
+
+622
+01:19:58,810 --> 01:20:07,390
+بحسب صورة لل slider V4 from three calculate
+
+623
+01:20:07,390 --> 01:20:12,490
+V4
+
+624
+01:20:12,490 --> 01:20:17,470
+معناته so far أعملنا احناplicity ..plicity
+
+625
+01:20:17,470 --> 01:20:18,010
+analysis
+
+626
+01:20:27,270 --> 01:20:39,230
+اللي انا هعمل acceleration analysis عشان
+
+627
+01:20:39,230 --> 01:20:41,530
+ال acceleration analysis اشتغل معادلة 3 و 4
+
+628
+01:20:41,530 --> 01:20:47,170
+بالنسبة للزمن differentiate differentiate three
+
+629
+01:20:47,170 --> 01:20:55,620
+and four with respect to timeاللي هتسيريز و بشتاط
+
+630
+01:20:55,620 --> 01:20:57,720
+معادلة أربعة اشتقاط السرعة بيعطينا ايش
+
+631
+01:20:57,720 --> 01:21:07,040
+acceleration A4 هتساوي minus R2 انا في عندي two
+
+632
+01:21:07,040 --> 01:21:09,600
+functions يعني عندي function omega 2 و function
+
+633
+01:21:09,600 --> 01:21:12,320
+sin 2 يعني هكون مشتقت الأول في التاني ازادي التاني
+
+634
+01:21:12,320 --> 01:21:17,640
+ازادي الأول في مشتقت التاني يعني هكون d omega 2 by
+
+635
+01:21:17,640 --> 01:21:31,690
+dt sin theta 2زاد cosine زاد omega 2 زاد omega 2
+
+636
+01:21:31,690 --> 01:21:44,450
+omega 2 cosine theta 2 في d theta 2 by dt ليها
+
+637
+01:21:44,450 --> 01:21:54,030
+اللي هي ايش ليها minus R 3 minus R 3 فيD Omega 3
+
+638
+01:21:54,030 --> 01:22:08,850
+by D T Sine θ 3 ز Omega 3 Cos θ 3 D θ 3 by D T هذه
+
+639
+01:22:08,850 --> 01:22:19,450
+الأولى المعادلة الأربعة هي R2 في D Omega 2 by D T
+
+640
+01:22:19,450 --> 01:22:29,530
+في Cos θ 2زاد omega minus minus
+
+641
+01:22:29,530 --> 01:22:42,510
+omega 2 في sin theta 2 في d theta 2 by dt زاد r
+
+642
+01:22:42,510 --> 01:23:02,290
+تلاتة في d omega 3 by dtcos θ3-ω3 sin θ3 dθ3 by dt
+
+643
+01:23:02,290 --> 01:23:08,790
+انبسط المعادلتين هذه الحسين عن دي a4
+
+644
+01:23:08,790 --> 01:23:11,850
+بتساوي
+
+645
+01:23:11,850 --> 01:23:16,750
+minus r2 احنا d omega by dt عبارة عن angular
+
+646
+01:23:16,750 --> 01:23:24,170
+acceleration هتكون minus r2 في الف اتنينSin θ2
+
+647
+01:23:24,170 --> 01:23:31,830
+زائد Omega 2 تربيع Cos
+
+648
+01:23:31,830 --> 01:23:34,870
+θ2
+
+649
+01:23:34,870 --> 01:23:38,210
+minus
+
+650
+01:23:38,210 --> 01:23:53,200
+R3 في Alpha 3 Sin θ3 زائد Omega 3 تربيع Cos θ3هذه
+
+651
+01:23:53,200 --> 01:24:00,000
+المعادلة الخامسة المعادلة التانية هكون عندي R
+
+652
+01:24:00,000 --> 01:24:08,200
+اتنين في Alpha اتنين Cos Theta اتنين minus Omega
+
+653
+01:24:08,200 --> 01:24:17,110
+اتنين تربيع Sin Theta اتنين زائد R تلاتةفي alpha
+
+654
+01:24:17,110 --> 01:24:25,050
+تلاتة cos θ تلاتة minus omega تلاتة تربيع sin θ
+
+655
+01:24:25,050 --> 01:24:31,350
+تلاتة كل هذا بيستوي ايش؟ zero هذا المعادل رقم ستة
+
+656
+01:24:31,350 --> 01:24:38,070
+هذا المعادل رقم ستة الان احنا بنعرف أطول ال links
+
+657
+01:24:38,070 --> 01:24:44,660
+R2 وR3وعارفين ال motion بتاعة الكرانك يعني تيتا 2
+
+658
+01:24:44,660 --> 01:24:48,160
+معروفة و أميجا 2 معروفة و ألفا 2 معروفة و already
+
+659
+01:24:48,160 --> 01:24:55,320
+حسبنا تيتا 3 و حسبنا أميجا 3 we solve for ألفا 3
+
+660
+01:24:55,320 --> 01:24:56,520
+and A4
+
+661
+01:25:00,570 --> 01:25:09,570
+خمسة and ستة four ال acceleration أستخدت ال A4 و
+
+662
+01:25:09,570 --> 01:25:15,110
+ألفة تلاتة اللي هي ال angular acceleration لل
+
+663
+01:25:15,110 --> 01:25:20,970
+connecting route الآن
+
+664
+01:25:22,620 --> 01:25:26,620
+احنا بالطريقة هذه غطينا ال .. اللي هو ال .. ال
+
+665
+01:25:26,620 --> 01:25:30,740
+kinematic analysis of .. kinematic analysis of
+
+666
+01:25:30,740 --> 01:25:35,000
+mechanisms using complex number طبعا اللي فيها
+
+667
+01:25:35,000 --> 01:25:40,000
+تفاصيل كتير بدلاك تكون يعني كويس في ال basic
+
+668
+01:25:40,000 --> 01:25:42,200
+calculus في ال basic math
+
+669
+01:25:45,150 --> 01:25:49,370
+الان ال trick في ال .. في الطريقة هذه في البرمجة و
+
+670
+01:25:49,370 --> 01:25:54,110
+بدك تنتبه انه ماتعطيش orientation او position غلط
+
+671
+01:25:54,110 --> 01:25:58,610
+نتيجة اللي هو الحسابات اللي ممكن تقع فيها اللي هو
+
+672
+01:25:58,610 --> 01:26:01,810
+حسابات ال sine و ال cosine و التان انت في الرابع
+
+673
+01:26:01,810 --> 01:26:03,870
+الأول ولا الرابع التان ولا الرابع التالت ولا
+
+674
+01:26:03,870 --> 01:26:07,780
+الرابع الرابع بذكركوا كمان مرةال .. ال .. ال sign
+
+675
+01:26:07,780 --> 01:26:11,140
+بتكون موجهة في الرابع الأول و .. و التاني ال
+
+676
+01:26:11,140 --> 01:26:14,540
+cosine بتكون موجهة في الرابع الأول و الرابع التام
+
+677
+01:26:14,540 --> 01:26:17,740
+بتكون موجهة في الرابع الأول و التالت فمهم كتير
+
+678
+01:26:17,740 --> 01:26:22,360
+كتير لما تبرمجوه تنتبهوا ل .. ل .. لشكل الميكانزم
+
+679
+01:26:22,360 --> 01:26:25,320
+انه يعني does .. does make .. does make sense ده
+
+680
+01:26:25,320 --> 01:26:28,680
+هتختار اللي هو ال .. ال .. ال .. ال correct .. ال
+
+681
+01:26:28,680 --> 01:26:31,560
+correct و اللي هو realistic solution
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/eLvenvroSbg.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/eLvenvroSbg.srt
new file mode 100644
index 0000000000000000000000000000000000000000..fc7ae99e255f0ba667538fffa62c9e6b439b2472
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/eLvenvroSbg.srt
@@ -0,0 +1,735 @@
+1
+00:00:04,890 --> 00:00:07,870
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,870 --> 00:00:11,950
+وبركاته نعود
+
+3
+00:00:11,950 --> 00:00:17,750
+ونستكمل chapter الـ gears في مادة نظرية الآلات
+
+4
+00:00:17,750 --> 00:00:23,210
+المرة الفاترة حكينا تعرّفنا على حسابات اللي هو الـ
+
+5
+00:00:23,210 --> 00:00:26,810
+length و path of contact حكينا الـ path of contact
+
+6
+00:00:26,810 --> 00:00:31,710
+متكون من الـ path of approach و الـ path of recess
+
+7
+00:00:32,410 --> 00:00:35,030
+عملنا معادلة الـ path of approach ومعادلة الـ path of
+
+8
+00:00:35,030 --> 00:00:38,050
+recess بعدين حكينا الـ length of arc of contact
+
+9
+00:00:38,050 --> 00:00:40,530
+بإستواء الـ length of path of contact على cos φ
+
+10
+00:00:40,530 --> 00:00:44,970
+وحسبنا الـ contact ratio بإستواء الـ length of path of
+
+11
+00:00:44,970 --> 00:00:47,470
+.. الـ length of arc of contact على الـ circular
+
+12
+00:00:47,470 --> 00:00:52,190
+pitch على pc اللي هي πد في م  حلينا ثلاث أمثلة،
+
+13
+00:00:52,190 --> 00:00:56,350
+اليوم هنكمل وندرس الـ interference in involute
+
+14
+00:00:56,350 --> 00:01:00,610
+gears الآن إيش معناه interference؟
+
+15
+00:01:02,420 --> 00:01:09,360
+خلينا نرجع لها لأن أنا مبين عندي هين أنا عندي اللي
+
+16
+00:01:09,360 --> 00:01:13,320
+هو الـ driver اللي هو جير مركزه O2 و الـ
+
+17
+00:01:13,320 --> 00:01:18,760
+driven جير مركزه O3 الـ driver يدور في .. ب ..
+
+18
+00:01:18,760 --> 00:01:23,440
+ب .. باتجاه عقارب الساعة، الـ driven يدور عكسه في
+
+19
+00:01:23,440 --> 00:01:30,790
+عكس عقارب الساعة، الـ contact .. الـ contact أو اللي
+
+20
+00:01:30,790 --> 00:01:34,190
+بتداخل الصناعة في بعض يبدأ الـ contact من لحظة
+
+21
+00:01:34,190 --> 00:01:40,370
+تقاطع الـ addendum circle بتاعة الـ driven مع الـ
+
+22
+00:01:40,370 --> 00:01:46,790
+pressure line مع الـ pressure line يعني النقطة A
+
+23
+00:01:46,790 --> 00:01:50,790
+وينتهي الـ contact من تقاطع الـ addendum circle
+
+24
+00:01:50,790 --> 00:01:54,350
+بتاعة الـ driver مع الـ pressure .. مع الـ pressure
+
+25
+00:01:54,350 --> 00:01:57,170
+line اللي هي النقطة B
+
+26
+00:02:04,920 --> 00:02:10,480
+طيب إذا كبرت الـ addendum circles، يعني خلت السن
+
+27
+00:02:10,480 --> 00:02:15,880
+أطول، لحظة خلّنا نرجع، عندي هذه هي الـ base circle،
+
+28
+00:02:15,880 --> 00:02:19,480
+هذه الـ base circle للـ driver، هذه الـ .. الـ
+
+29
+00:02:19,480 --> 00:02:22,260
+addendum circle للـ driver، هذه الـ pitch circle للـ
+
+30
+00:02:22,260 --> 00:02:25,860
+driver، هذه الـ addendum circle للـ driver هذه هي الـ
+
+31
+00:02:25,860 --> 00:02:29,560
+.. هذه هي الـ .. الـ addendum circle للـ driven هذه
+
+32
+00:02:29,560 --> 00:02:34,540
+الـ base circle للـ driven هذه الـ pitch
+
+33
+00:02:34,540 --> 00:02:37,900
+circle للـ driven وهذه الـ addendum circle للـ driven
+
+34
+00:02:37,900 --> 00:02:42,100
+حكينا الـ contact بيبدأ من تقاطع الـ addendum circle
+
+35
+00:02:42,100 --> 00:02:45,220
+بتاعة الـ driven مع الـ pressure يعني بيبدأ تقاطع ..
+
+36
+00:02:45,220 --> 00:02:50,530
+بيبدأ الـ .. الـ contact من نقطة A وينتهي من نقطة
+
+37
+00:02:50,530 --> 00:02:53,670
+تقاطع الـ addendum circle بتاع الـ driver مع الـ
+
+38
+00:02:53,670 --> 00:02:55,990
+pressure اللي هي نقطة B
+
+39
+00:02:58,870 --> 00:03:03,490
+الآن لو كبرنا الـ addendum circle for both
+
+40
+00:03:03,490 --> 00:03:08,650
+أو لو واحد من اثنين for both الـ driver و الـ driven
+
+41
+00:03:08,650 --> 00:03:13,550
+يعني الـ addendum circle  تصير أكبر ممكن إيش؟ يصير
+
+42
+00:03:13,550 --> 00:03:17,970
+الـ contact تصير تحت الـ base circle  ونحن نعرف
+
+43
+00:03:17,970 --> 00:03:22,710
+أنّ الـ involute is generated from the base circle إذا
+
+44
+00:03:22,710 --> 00:03:27,490
+بيصير الـ contact below the base circle، الآن below
+
+45
+00:03:27,490 --> 00:03:30,770
+the base circle مافي عندي involute، above الـ base
+
+46
+00:03:30,770 --> 00:03:33,110
+circle بيكون في عندي involute profile، ونحن
+
+47
+00:03:33,110 --> 00:03:36,150
+حكينا أنّ الـ involute profile بيعطيني إيش؟ positive
+
+48
+00:03:36,150 --> 00:03:39,910
+conjugate .. conjugate mesh، يعني دائماً بيكون في
+
+49
+00:03:39,910 --> 00:03:43,930
+عندي contact إذا صار الـ contact below the base
+
+50
+00:03:43,930 --> 00:03:49,710
+circle الـ .. الـ .. الـ tip .. الـ tip of the driven
+
+51
+00:03:49,710 --> 00:03:55,550
+gear will dig in هتغرز في إيش؟ في الـ .. في الـ ..
+
+52
+00:03:55,550 --> 00:04:01,000
+في الـ profile below the base circle of the driver
+
+53
+00:04:01,000 --> 00:04:06,300
+في الحالة هذه هنحكي أنه صارت تداخل بين الـ two
+
+54
+00:04:06,300 --> 00:04:11,040
+gears انمش يعني هيصير السن بتاع الـ .. الـ .. الـ
+
+55
+00:04:11,040 --> 00:04:15,720
+driven يغرز في السن بتاع الـ driver ويصير يوكل منه
+
+56
+00:04:15,720 --> 00:04:20,210
+بنهرق الـ gear الترس إيش؟ بنهرقهذا الـ interference
+
+57
+00:04:20,210 --> 00:04:25,250
+مش لازم يصير عنده interference مش لازم يصير عنده
+
+58
+00:04:25,250 --> 00:04:28,510
+interference لازم نتجنبه في الـ design بتاع الـ gear
+
+59
+00:04:28,510 --> 00:04:32,550
+طيب
+
+60
+00:04:40,900 --> 00:04:45,500
+أبين عندي .. عندي هنا الـ A1 مركز الـ pinion اللي
+
+61
+00:04:45,500 --> 00:04:50,640
+هو الـ driver gear و الـ A2 مركز دوران الـ .. الـ
+
+62
+00:04:50,640 --> 00:04:59,860
+wheel أو الـ gear هذه هي الـ base circle للـ pinion وهذه
+
+63
+00:04:59,860 --> 00:05:04,100
+هذه الـ base circle للـ .. للـ driven و الـ pressure
+
+64
+00:05:04,100 --> 00:05:07,780
+line بيكون tangent للـ base circle .. للـ both base
+
+65
+00:05:07,780 --> 00:05:09,980
+circles يعني هذه الـ pressure line tangent للـ base
+
+66
+00:05:09,980 --> 00:05:14,040
+circle للـ gear و tangent للـ base circle للـ pinion
+
+67
+00:05:14,040 --> 00:05:17,980
+هذه النقطة هي الـ pitch point هذه طبعاً هذه الـ
+
+68
+00:05:17,980 --> 00:05:21,100
+addendum circle للـ driven وهذه addendum circle للـ
+
+69
+00:05:21,100 --> 00:05:27,020
+driver نحن حكينا الـ contact يبدأ من تقاطع الـ
+
+70
+00:05:27,020 --> 00:05:33,740
+addendum circle الـ addendum circle مع الـ pressure
+
+71
+00:05:33,740 --> 00:05:40,700
+line الـ pressure line وينتهي من تقاطع الـ addendum
+
+72
+00:05:40,700 --> 00:05:46,180
+circle بتاعة الـ pinion مع الـ pressure line الآن الـ
+
+73
+00:05:46,180 --> 00:05:52,320
+critical location below which هيصير تداخل بين الـ
+
+74
+00:05:52,320 --> 00:05:59,800
+pinion و الـ gear لأنه الـ addendum تقاطع الـ
+
+75
+00:05:59,800 --> 00:06:05,020
+addendum الـ circle لأن لو رسمت عموديّ من عموديّ من
+
+76
+00:06:05,020 --> 00:06:09,860
+الـ center O1 على الـ pressure line نحصل على نقطة M و
+
+77
+00:06:09,860 --> 00:06:13,520
+عموديّ من الـ center O2 على الـ pressure line نحصل
+
+78
+00:06:13,520 --> 00:06:19,200
+على نقطة N الآن إذا صار الـ .. الـ .. الـ .. الـ .. هي الـ
+
+79
+00:06:19,200 --> 00:06:22,380
+addendum circle بتاعة الـ driven وهي الـ pressure
+
+80
+00:06:22,380 --> 00:06:27,280
+.. هي الـ pressure الـ pressure line إذا الـ contact
+
+81
+00:06:27,280 --> 00:06:30,880
+point الـ critical contact point اللي هي نقطة M ونقطة
+
+82
+00:06:30,880 --> 00:06:35,920
+N هدفهم الـ critical location إذا الـ addendum
+
+83
+00:06:35,920 --> 00:06:40,120
+circle بتاعة الـ driven صارت أكبر صارت هنا هيصير
+
+84
+00:06:40,120 --> 00:06:43,740
+عند البداية الـ contact below الـ base circle
+
+85
+00:06:43,740 --> 00:06:50,020
+وبالتالي بيصير انغراز لسن الـ driven gear مع سن
+
+86
+00:06:50,020 --> 00:06:52,860
+الـ driver gear وبيصير تهري  بيصير الأسنان تتلف
+
+87
+00:06:52,860 --> 00:06:53,260
+بعضها
+
+88
+00:07:02,870 --> 00:07:08,250
+طيب معناته الـ maximum length of path of contact ..
+
+89
+00:07:08,250 --> 00:07:11,390
+الـ maximum length of path of contact اللي بعده
+
+90
+00:07:11,390 --> 00:07:17,170
+بيصير عندي interference هيكون هو عبارة عن MN .. MN
+
+91
+00:07:17,170 --> 00:07:23,410
+الـ MP .. الـ MP هو path of approach والـ PN هو الـ
+
+92
+00:07:23,410 --> 00:07:29,090
+critical أو الـ maximum path of recess الـ MP بيساوي
+
+93
+00:07:29,090 --> 00:07:34,450
+اللي هو الـ O1P في sin Φ و الـ PN بيساوي O2P في
+
+94
+00:07:34,450 --> 00:07:41,390
+sin Φ الـ O1P هو الـ pitch radius للـ pinion و
+
+95
+00:07:41,390 --> 00:07:46,010
+الـ O2P هو الـ pitch radius للـ gear معناته الـ
+
+96
+00:07:46,010 --> 00:07:50,030
+maximum values الـ maximum length of path of
+
+97
+00:07:50,030 --> 00:07:53,030
+contact بيساوي R صغيرة زائد R كبيرة في الـ sine
+
+98
+00:07:53,030 --> 00:07:56,070
+فيه، والـ maximum length of R contact اللي هو اللي
+
+99
+00:07:56,070 --> 00:07:58,870
+بيساوي الـ maximum length of path of contact على الـ
+
+100
+00:07:58,870 --> 00:08:01,690
+cosine فيه يعني R صغيرة زائد R كبيرة في الـ sine
+
+101
+00:08:01,690 --> 00:08:03,970
+فيه على الـ cosine فيه بيساوي R صغيرة زائد R كبيرة
+
+102
+00:08:03,970 --> 00:08:09,890
+في الـ cos فيه، طيب خلينا نشوف نحل example
+
+103
+00:08:19,520 --> 00:08:24,340
+two mating gears having twenty and forty involute
+
+104
+00:08:24,340 --> 00:08:27,460
+teeth of module ten millimeter and twenty degrees
+
+105
+00:08:27,460 --> 00:08:38,340
+pressure angle يعني دي two mating gears عدد
+
+106
+00:08:38,340 --> 00:08:43,740
+أسنان البنيون T1 اللي هو عشرون سن، عدد أسنان الجير T2
+
+107
+00:08:43,740 --> 00:08:45,840
+اللي هي أربعون سن
+
+108
+00:08:48,710 --> 00:08:59,450
+و الـ module عشرة والـ pressure angle Φ بتساوي
+
+109
+00:08:59,450 --> 00:09:10,850
+عشرون درجة، الـ addendum على
+
+110
+00:09:10,850 --> 00:09:13,890
+كل عجلة هنعمل بطوله
+
+111
+00:09:16,050 --> 00:09:20,350
+such that such a such a length that the line of
+
+112
+00:09:20,350 --> 00:09:25,630
+contact the line of contact in on each side of the
+
+113
+00:09:25,630 --> 00:09:31,570
+pitch point has half the maximum possible length
+
+114
+00:09:31,570 --> 00:09:37,130
+يعني أنا عندي عند الـ pitch point في جزء يعني أنا
+
+115
+00:09:37,130 --> 00:09:40,830
+عند الـ contact اللي هو في عندي length of path of
+
+116
+00:09:40,830 --> 00:09:45,790
+approach وفي عندي length of path of recess هو هدول
+
+117
+00:09:45,790 --> 00:09:48,170
+على الطرفين واحد على الشمال واحد على اليمين الـ
+
+118
+00:09:48,170 --> 00:09:53,490
+pitch point اللي بدنا نعمل addendum بحيث أنه بحيث
+
+119
+00:09:53,490 --> 00:10:00,270
+أنه يكون such that the line of contact in each
+
+120
+00:10:00,270 --> 00:10:05,390
+side of the pitch point has a pitch point has half
+
+121
+00:10:05,390 --> 00:10:09,020
+the maximum possible length determine addendum
+
+122
+00:10:09,020 --> 00:10:14,880
+height for each gear يعني هو اللي بيحكي إيه هو
+
+123
+00:10:14,880 --> 00:10:21,020
+اللي بيحكي إيه التالي الآن الـ length of path of
+
+124
+00:10:21,020 --> 00:10:27,320
+approach length of path of approach بيساوي الجذر التربيعي لـ RA تربيع ناقص R تربيع cos
+
+125
+00:10:27,320 --> 00:10:31,480
+تربيع  ناقص R sin  في
+
+126
+00:10:31,480 --> 00:10:36,060
+في ناقص R sin في
+
+127
+00:10:38,700 --> 00:10:42,740
+والـ length of path of recess بيساوي الجذر التربيعي
+
+128
+00:10:42,740 --> 00:10:47,640
+لـ RA تربيع ناقص R تربيع cosine تربيع Φ
+
+129
+00:10:47,640 --> 00:10:53,400
+ناقص r sine Φ طيب
+
+130
+00:10:53,400 --> 00:10:57,380
+الـ R الكبيرة وإيه الـ RA و الـ RA إيش معروفين لكن ممكن
+
+131
+00:10:57,380 --> 00:11:05,660
+أعرف الـ R الصغيرة هتكون تساوي عشرين في عشرة على
+
+132
+00:11:05,660 --> 00:11:11,830
+اثنين يعني هتكون مئة مليمتر الـ R الكبيرة هتكون
+
+133
+00:11:11,830 --> 00:11:24,070
+أربعين في عشرة على اثنين مئتان مليمتر هو
+
+134
+00:11:24,070 --> 00:11:30,170
+بيحكي لي الـ length of path of approach الحقيقة
+
+135
+00:11:30,170 --> 00:11:36,070
+الـ
+
+136
+00:11:36,070 --> 00:11:44,260
+length of path of approach الحقيقة هيكون نصف الـ
+
+137
+00:11:44,260 --> 00:11:52,820
+maximum possible value نصف R sin
+
+138
+00:11:52,820 --> 00:11:54,020
+Φ
+
+139
+00:12:11,660 --> 00:12:18,580
+طيب و الـ length of path of recess هيكون نصف R
+
+140
+00:12:18,580 --> 00:12:26,140
+الكبيرة sin Φ يعني لو عوضنا .. لو عوضنا يعني length
+
+141
+00:12:26,140 --> 00:12:31,680
+of path of approach هيكون
+
+142
+00:12:31,680 --> 00:12:36,440
+length of path of approach هيكون يساوي نصف في R اللي
+
+143
+00:12:36,440 --> 00:12:39,240
+هو مئة في sin العشرين
+
+144
+00:12:45,870 --> 00:12:53,430
+يعني خمسين في sin العشرين يطلع 17.1
+
+145
+00:12:53,430 --> 00:13:00,910
+millimeter والـ length of path of recess هيكون نصف
+
+146
+00:13:00,910 --> 00:13:08,850
+في الـ R الكبيرة مئتان في sin العشرين
+
+147
+00:13:16,820 --> 00:13:22,760
+يطلع 68.4
+
+148
+00:13:22,760 --> 00:13:25,980
+نعود
+
+149
+00:13:25,980 --> 00:13:29,720
+هنا الـ
+
+150
+00:13:29,720 --> 00:13:32,440
+length of path of approach اللي هو طلع له 17.1
+
+151
+00:13:32,440 --> 00:13:41,300
+بيساو الجذر التربيعي لـ RA تربيع
+
+152
+00:13:42,230 --> 00:13:49,610
+ناقص الـ R اللي هي مئة تربيع cos تربيع العشرين
+
+153
+00:13:49,610 --> 00:13:56,730
+ناقص اللي هو مئة sin
+
+154
+00:13:56,730 --> 00:14:05,550
+العشرين ومنها نحسب الـ Ra بتطلع نحو التالي يعني
+
+155
+00:14:05,550 --> 00:14:10,210
+الـ 17.1
+
+156
+00:14:10,210 --> 00:14:29,460
+تربيع زائد مئة تربيع sin تربيع عشرين يساوي تربيع
+
+157
+00:14:29,460 --> 00:14:34,000
+يساوي زائد
+
+158
+00:14:35,370 --> 00:14:46,250
+مئة تربيع في cos عشرين تربيع يساوي تطلع الـ RA
+
+159
+00:14:46,250 --> 00:14:50,070
+تربيع اللي
+
+160
+00:14:50,070 --> 00:14:55,070
+هو 42632
+
+161
+00:14:55,070 --> 00:14:59,450
+يعني الـ RA هتكون تساوي
+
+162
+00:15:13,580 --> 00:15:24,620
+يطلع 206.48 نفس
+
+163
+00:15:24,620 --> 00:15:27,420
+الشيء عندي الـ length of path of recess اللي هو
+
+164
+00:15:27,420 --> 00:15:35,740
+68.4 بيساوي
+
+165
+00:15:35,740 --> 00:15:43,160
+الجذر التربيعي لـ RA تربيع ناقص مئتان تربيع cos
+
+166
+00:15:43,160 --> 00:15:51,160
+تربيع الـ 20 ناقص مئة sin الـ 20 ونحن نحسب الـ RA
+
+167
+00:15:51,160 --> 00:15:52,620
+تربيع
+
+168
+00:16:29,550 --> 00:16:35,910
+13509 ومنها نحسب الـ RA تطلع
+
+169
+00:16:35,910 --> 00:16:42,410
+116.23
+
+170
+00:16:42,410 --> 00:16:47,150
+معناته
+
+171
+00:16:47,150 --> 00:16:52,990
+الـ addendum على الـ gear الـ addendum على
+
+172
+00:17:01,020 --> 00:17:07,560
+الـ .. على الـ .. على الـ .. على الجير هتكون RA ناقص
+
+173
+00:17:07,560 --> 00:17:08,120
+R
+
+174
+00:17:11,250 --> 00:17:15,910
+اللي هي هتطلع 206.48 ناقص
+
+175
+00:17:15,910 --> 00:17:20,250
+مئتان تطلع اللي هو 6.48
+
+176
+00:17:20,250 --> 00:17:24,850
+millimeter الـ addendum مع الـ pinion هتكون الـ Ra
+
+177
+00:17:24,850 --> 00:17:34,750
+ناقص الـ r يعني هتكون 116.23
+
+178
+00:17:34,750 --> 00:17:37,690
+ناقص مئة
+
+179
+00:17:41,320 --> 00:17:46,940
+هتطلع 16.23 millimeter طبعاً الرقم
+
+180
+00:17:46,940 --> 00:17:49,600
+هذا 16.23 بالنسبالي does not make
+
+181
+00:17:49,600 --> 00:17:53,960
+sense فتأكدوا
+
+182
+00:17:53,960 --> 00:17:59,000
+في إيش غلط في الأرقام هذا check it out افحصوه
+
+183
+00:18:02,780 --> 00:18:06,500
+يعني make sense يطلع 6.23 مش 16.23
+
+184
+00:18:06,500 --> 00:18:12,140
+point 23 في شيء غير صحيح
\ No newline at end of file
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/eLvenvroSbg_postprocess.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/eLvenvroSbg_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..1a5eab7dcc90ca2d616e22dfa25387735863adba
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/eLvenvroSbg_postprocess.srt
@@ -0,0 +1,772 @@
+1
+00:00:04,890 --> 00:00:07,870
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,870 --> 00:00:11,950
+وبركاته نعود
+
+3
+00:00:11,950 --> 00:00:17,750
+و نستكمل chapter ال gears في مادة نظرية الآلات
+
+4
+00:00:17,750 --> 00:00:23,210
+المرة الفاترة حكينا اتعرفنا على حسابات اللي هو ال
+
+5
+00:00:23,210 --> 00:00:26,810
+length و path of contact حكينا ال path of contact
+
+6
+00:00:26,810 --> 00:00:31,710
+متكون من ال path of approach و ال path of recess
+
+7
+00:00:32,410 --> 00:00:35,030
+عملنا معادل ال path of approach ومعادل ال path of
+
+8
+00:00:35,030 --> 00:00:38,050
+recess بعدين حكينا ال length of arc of contact
+
+9
+00:00:38,050 --> 00:00:40,530
+بستوى ال length of path of contact على cos φ
+
+10
+00:00:40,530 --> 00:00:44,970
+وحسبنا ال contact ratio بستوى ال length of path of
+
+11
+00:00:44,970 --> 00:00:47,470
+.. ال length of arc of contact على ال circular
+
+12
+00:00:47,470 --> 00:00:52,190
+pitch على pc اللي هي πي في م حلينا تلت أمثلة،
+
+13
+00:00:52,190 --> 00:00:56,350
+اليوم هنكمل و هندرس ال interference in involute
+
+14
+00:00:56,350 --> 00:01:00,610
+gears الآن إيش معناه interference؟
+
+15
+00:01:02,420 --> 00:01:09,360
+خلينا نقدم لها لإن أنا مبين عندي هين أنا عندي اللي
+
+16
+00:01:09,360 --> 00:01:13,320
+هو ال driver اللي هو جير اتنين مركزه O اتنين و ال
+
+17
+00:01:13,320 --> 00:01:18,760
+driven جير مركزه O تلاتة ال driver بدور في .. ب ..
+
+18
+00:01:18,760 --> 00:01:23,440
+ب .. باتجاه عقارب الساعة ال driven بدور عكسه في
+
+19
+00:01:23,440 --> 00:01:30,790
+عكس عقارب الساعة ال contact .. ال contactأو اللي
+
+20
+00:01:30,790 --> 00:01:34,190
+بتداخل الصناعة في بعض ببدأ ال contact من لحظة
+
+21
+00:01:34,190 --> 00:01:40,370
+تقاطع ال addendum circle بتاعة ال driven مع ال
+
+22
+00:01:40,370 --> 00:01:46,790
+pressure line مع ال pressure line يعني النقطة A
+
+23
+00:01:46,790 --> 00:01:50,790
+وينتهي ال contact من تقاطع ال addendum circle
+
+24
+00:01:50,790 --> 00:01:54,350
+بتاعة ال driver مع ال pressure .. مع ال pressure
+
+25
+00:01:54,350 --> 00:01:57,170
+line اللي هي النقطة B
+
+26
+00:02:04,920 --> 00:02:10,480
+طيب إذا كبرت ال addendum circles، يعني خلت السن
+
+27
+00:02:10,480 --> 00:02:15,880
+أطول، لحظة خلنا نرجع، عندي هذه هي ال base circle،
+
+28
+00:02:15,880 --> 00:02:19,480
+هذه ال base circle لل driver، هذه ال .. ال
+
+29
+00:02:19,480 --> 00:02:22,260
+addendum circle لل driver، هذه ال pitch circle لل
+
+30
+00:02:22,260 --> 00:02:25,860
+driver، هذه ال addendum circle لل driverهذه هي ال
+
+31
+00:02:25,860 --> 00:02:29,560
+.. هذه هي ال .. ال addendum circle لل driven هذه
+
+32
+00:02:29,560 --> 00:02:34,540
+ال base circle لل driver لل driven هذه ال pitch
+
+33
+00:02:34,540 --> 00:02:37,900
+circle لل driven وهذه ال addendum circle لل driven
+
+34
+00:02:37,900 --> 00:02:42,100
+حكينا ال contact بيبدأ من تقاطع ال addendum circle
+
+35
+00:02:42,100 --> 00:02:45,220
+بتاعة ال driven مع ال pressure يعني بيبدأ تقاطع ..
+
+36
+00:02:45,220 --> 00:02:50,530
+بيبدأ ال .. ال contact من نقطة Aوينتهي من نقطة
+
+37
+00:02:50,530 --> 00:02:53,670
+تقاطع الـ addendum سيكت بتاع ال driver مع ال
+
+38
+00:02:53,670 --> 00:02:55,990
+pressure اللي هي نقطة B
+
+39
+00:02:58,870 --> 00:03:03,490
+الان لو كان السن كبرنا ال addendum circle for both
+
+40
+00:03:03,490 --> 00:03:08,650
+او لو واحد من اتنين for both ال driver و ال driven
+
+41
+00:03:08,650 --> 00:03:13,550
+يعني ال addendum circle هصير اكبر ممكن ايش؟ يصير
+
+42
+00:03:13,550 --> 00:03:17,970
+ال contact تصير تحت ال base circle و احنا عارفين
+
+43
+00:03:17,970 --> 00:03:22,710
+ال involute is generated from the base circleإذا
+
+44
+00:03:22,710 --> 00:03:27,490
+بيصير ال contact below the base circle، الان below
+
+45
+00:03:27,490 --> 00:03:30,770
+the base circle مافي عندى involute، above ال base
+
+46
+00:03:30,770 --> 00:03:33,110
+circle بيكون في عندى involute profile، و احنا
+
+47
+00:03:33,110 --> 00:03:36,150
+حاكين ان ال involute profile بيعطينى إيش؟ positive
+
+48
+00:03:36,150 --> 00:03:39,910
+conjugate .. conjugate mesh، يعني دايما بيكون في
+
+49
+00:03:39,910 --> 00:03:43,930
+عندى contactإذا بصي ال contact below the base
+
+50
+00:03:43,930 --> 00:03:49,710
+circle ال .. ال .. ال tip .. ال tip of the driven
+
+51
+00:03:49,710 --> 00:03:55,550
+gear will dig in هتغرز في إيش؟ في ال .. في ال ..
+
+52
+00:03:55,550 --> 00:04:01,000
+في ال profilebelow the base circle of the driver
+
+53
+00:04:01,000 --> 00:04:06,300
+في الحالة هذه هنحكي انه صارت تداخل بين ال two
+
+54
+00:04:06,300 --> 00:04:11,040
+gears انمش يعني هيصير السن بتاع ال .. ال .. ال
+
+55
+00:04:11,040 --> 00:04:15,720
+driven يغرز في السن بتاع ال driver و يصير يوكل منه
+
+56
+00:04:15,720 --> 00:04:20,210
+بنهرق ال gear الترس ايش؟ بنهرقهذا ال interference
+
+57
+00:04:20,210 --> 00:04:25,250
+مش لازم يصير عنده interference مش لازم يصير عنده
+
+58
+00:04:25,250 --> 00:04:28,510
+interference لازم نتجنبه في ال design بتاع ال gear
+
+59
+00:04:28,510 --> 00:04:32,550
+طيب
+
+60
+00:04:40,900 --> 00:04:45,500
+انبين عندي .. عندي هين ال A1 مركز ال penion اللي
+
+61
+00:04:45,500 --> 00:04:50,640
+هو ال driver ال gear و ال A2 مركز دوران ال .. ال
+
+62
+00:04:50,640 --> 00:04:59,860
+wheel او ال gear هذه هي ال base circle لل penionو
+
+63
+00:04:59,860 --> 00:05:04,100
+هذه ال base circle لل .. لل driven و ال pressure
+
+64
+00:05:04,100 --> 00:05:07,780
+line بيكون tangent لل base circle .. لل both base
+
+65
+00:05:07,780 --> 00:05:09,980
+circles يعني هاي ال pressure line tangent لل base
+
+66
+00:05:09,980 --> 00:05:14,040
+circle لل gear و tangent لل base circle لل pinion
+
+67
+00:05:14,040 --> 00:05:17,980
+هذه النقطة هي ال pitch point هذه طبعا هذه ال
+
+68
+00:05:17,980 --> 00:05:21,100
+addendum circle لل driven و هذه addendum circle لل
+
+69
+00:05:21,100 --> 00:05:27,020
+driver احنا حكينا ال contactببدأ من تقاطع ال
+
+70
+00:05:27,020 --> 00:05:33,740
+addendum circle ال addendum circle مع ال pressure
+
+71
+00:05:33,740 --> 00:05:40,700
+line ال pressure line و ينتهي من تقاطع ال addendum
+
+72
+00:05:40,700 --> 00:05:46,180
+circle بتاعة ال penion مع ال pressure line الآن ال
+
+73
+00:05:46,180 --> 00:05:52,320
+critical location below which هيصير تدخل بين ال
+
+74
+00:05:52,320 --> 00:05:59,800
+penion و الجيرانه .. انه ال addendum تقاطع ال
+
+75
+00:05:59,800 --> 00:06:05,020
+addendum ال circle لأن لو رسمت عمودي من عمودي من
+
+76
+00:06:05,020 --> 00:06:09,860
+ال center O1 على ال pressure line بحصل نقطة M و
+
+77
+00:06:09,860 --> 00:06:13,520
+عمودي من ال center O2 على ال pressure line بحصل
+
+78
+00:06:13,520 --> 00:06:19,200
+نقطة N الان اذا صار ال .. ال .. ال .. ال .. هى ال
+
+79
+00:06:19,200 --> 00:06:22,380
+addendum circle بتاعة ال driven و هى ال pressure
+
+80
+00:06:22,380 --> 00:06:27,280
+.. هى ال pressureال pressure line إذا ال contact
+
+81
+00:06:27,280 --> 00:06:30,880
+point ال critical contact point اللي هي نقطة M و
+
+82
+00:06:30,880 --> 00:06:35,920
+نقطة N هدفهم ال critical location إذا ال addendum
+
+83
+00:06:35,920 --> 00:06:40,120
+circle بتاعة ال driven صارت أكبر صارت هنا هيصير
+
+84
+00:06:40,120 --> 00:06:43,740
+عند البداية ال contact below ال base circle
+
+85
+00:06:43,740 --> 00:06:50,020
+وبالتالي بيصير انغراز لسن اللي driven جير مع سن
+
+86
+00:06:50,020 --> 00:06:52,860
+اللي driver جير و بيصير هريان بيصير الأسنان يقلب
+
+87
+00:06:52,860 --> 00:06:53,260
+بعض
+
+88
+00:07:02,870 --> 00:07:08,250
+طيب معناته ال maximum length of path of contact ..
+
+89
+00:07:08,250 --> 00:07:11,390
+ال maximum length of path of contact اللي بعده
+
+90
+00:07:11,390 --> 00:07:17,170
+بصير عندي interference هيكون هو عبارة عن MN .. MN
+
+91
+00:07:17,170 --> 00:07:23,410
+ال MP .. ال MP هو path of approachو ال PN هو ال
+
+92
+00:07:23,410 --> 00:07:29,090
+critical أو ال maximum path of recess ال MP بيساوي
+
+93
+00:07:29,090 --> 00:07:34,450
+اللي هو ال O1P في sin Phi و ال PN بيساوي O2P في
+
+94
+00:07:34,450 --> 00:07:41,390
+sin Phi ال O1P هو ال pitch ال radius لل pinion و
+
+95
+00:07:41,390 --> 00:07:46,010
+ال O2P هو ال pitch radius لل gear معناته ال
+
+96
+00:07:46,010 --> 00:07:50,030
+maximum valuesالـ maximum length of path of
+
+97
+00:07:50,030 --> 00:07:53,030
+contact بيستوي R small زي R capital في الـ sine
+
+98
+00:07:53,030 --> 00:07:56,070
+فيه و ال maximum length of R contact اللي هو اللي
+
+99
+00:07:56,070 --> 00:07:58,870
+بيستوي ال maximum length of path of contact على ال
+
+100
+00:07:58,870 --> 00:08:01,690
+cosine فيه يعني R small زي R capital في ال sine
+
+101
+00:08:01,690 --> 00:08:03,970
+فيه على ال cosine فيه بيستوي R small زي R capital
+
+102
+00:08:03,970 --> 00:08:09,890
+في ال cos فيه التان الفيه خلينا نشوف نحل example
+
+103
+00:08:19,520 --> 00:08:24,340
+two mating gears having twenty and forty involute
+
+104
+00:08:24,340 --> 00:08:27,460
+teeth of module ten millimeter and twenty degrees
+
+105
+00:08:27,460 --> 00:08:38,340
+pressure angle فيعني دي two mating gears عدد
+
+106
+00:08:38,340 --> 00:08:43,740
+سنان البنيون T1 اللي هو عشرين سن عدد سنان الجير T2
+
+107
+00:08:43,740 --> 00:08:45,840
+اللي هي أربعين سن
+
+108
+00:08:48,710 --> 00:08:59,450
+و ال module عشرة و ال pressure angle فاي بتساوي
+
+109
+00:08:59,450 --> 00:09:10,850
+عشرين درجة ال addendum على
+
+110
+00:09:10,850 --> 00:09:13,890
+كل عجلة هنعمل بطوله
+
+111
+00:09:16,050 --> 00:09:20,350
+such that such a such a length that the line of
+
+112
+00:09:20,350 --> 00:09:25,630
+contact the line of contact in on each side of the
+
+113
+00:09:25,630 --> 00:09:31,570
+pitch point has half the maximum possible length
+
+114
+00:09:31,570 --> 00:09:37,130
+يعني أنا عندى عند ال pitch point في جزء يعني أنا
+
+115
+00:09:37,130 --> 00:09:40,830
+عند ال contact اللى هو في عندى length of path of
+
+116
+00:09:40,830 --> 00:09:45,790
+approach و في عندى length of path of recessهو هدول
+
+117
+00:09:45,790 --> 00:09:48,170
+على الطرفي واحد على الشمال واحد على اليمين ال
+
+118
+00:09:48,170 --> 00:09:53,490
+pitch point اللي بدنا نعمل addendum بحيث انه بحيث
+
+119
+00:09:53,490 --> 00:10:00,270
+انه يكون such that the line of contact in each
+
+120
+00:10:00,270 --> 00:10:05,390
+side of the pitch point has a pitch point has half
+
+121
+00:10:05,390 --> 00:10:09,020
+the maximum possible lengthdetermine addendum
+
+122
+00:10:09,020 --> 00:10:14,880
+height for each gear يعني هو اللي بيحكي ايه هو
+
+123
+00:10:14,880 --> 00:10:21,020
+اللي بيحكي ايه التالي الان ال length of path of
+
+124
+00:10:21,020 --> 00:10:27,320
+approach length of path of approach بالساوية الجزر
+
+125
+00:10:27,320 --> 00:10:31,480
+التربيعي للRA capital تربيع minus R تربيع cos
+
+126
+00:10:31,480 --> 00:10:36,060
+تربيع في minus R sin في
+
+127
+00:10:38,700 --> 00:10:42,740
+والـ length of path of recess بالسواء جزر التربيع
+
+128
+00:10:42,740 --> 00:10:47,640
+ايه لـ ra تربيع minus r تربيع cosine تربيع فاي
+
+129
+00:10:47,640 --> 00:10:53,400
+minus r sine فاي طيب
+
+130
+00:10:53,400 --> 00:10:57,380
+ال R capital ايه ال RA و ال RAزيش معروفين لكن ممكن
+
+131
+00:10:57,380 --> 00:11:05,660
+اعرف ال R ال R small هتكون تساوي عشرين في عشرة على
+
+132
+00:11:05,660 --> 00:11:11,830
+اتنين يعني هتكون ميت ميلي مترالـ R capital هتكون
+
+133
+00:11:11,830 --> 00:11:24,070
+اربعين في عشرة على اتنين متين ملي متر هو
+
+134
+00:11:24,070 --> 00:11:30,170
+بيحكي لي ال length of path of approach الحقيقة
+
+135
+00:11:30,170 --> 00:11:36,070
+ال
+
+136
+00:11:36,070 --> 00:11:44,260
+length of pathof approach الحقيقة هيكون نص ال
+
+137
+00:11:44,260 --> 00:11:52,820
+maximum possible value نص R sin
+
+138
+00:11:52,820 --> 00:11:54,020
+Phi
+
+139
+00:12:11,660 --> 00:12:18,580
+طيب و ال length of path of recess هكون نص R
+
+140
+00:12:18,580 --> 00:12:26,140
+capital sin ف يعني لو عوضة .. لو عوضة يعني length
+
+141
+00:12:26,140 --> 00:12:31,680
+of path of approach هيكون
+
+142
+00:12:31,680 --> 00:12:36,440
+length of path of approach هكون سواء نص في R اللي
+
+143
+00:12:36,440 --> 00:12:39,240
+هو مية في sin العشرين
+
+144
+00:12:45,870 --> 00:12:53,430
+يعني خمسين في sign العشرين بطلع سبعتاش point one
+
+145
+00:12:53,430 --> 00:13:00,910
+millimeter و ال length of path of recess هكون نص
+
+146
+00:13:00,910 --> 00:13:08,850
+في ال R capital متين في sign العشرين
+
+147
+00:13:16,820 --> 00:13:22,760
+هيطلع تنين و تلاتين اربعة و تلاتين point اتنين
+
+148
+00:13:22,760 --> 00:13:25,980
+نعود
+
+149
+00:13:25,980 --> 00:13:29,720
+هنا ال
+
+150
+00:13:29,720 --> 00:13:32,440
+link to path of approach اللي هو طلع ليه سبعتاش
+
+151
+00:13:32,440 --> 00:13:41,300
+point واحد بالساوية الجزر التربيعي لل RA تربيع
+
+152
+00:13:42,230 --> 00:13:49,610
+minus ال R اللي هي متين تربية cosine تربية العشرين
+
+153
+00:13:49,610 --> 00:13:56,730
+minus اللي هو متين sin
+
+154
+00:13:56,730 --> 00:14:05,550
+العشرين ومنها بحسب ال R a بتطلع نحو التالي يعني
+
+155
+00:14:05,550 --> 00:14:10,210
+السبعتاش
+
+156
+00:14:10,210 --> 00:14:29,460
+one to oneزائد متين في sign عشرين يساوي تربيع
+
+157
+00:14:29,460 --> 00:14:34,000
+يساوي زائد
+
+158
+00:14:35,370 --> 00:14:46,250
+متين تربيع في cosine عشرين تربيع يساوي تطلع ال RA
+
+159
+00:14:46,250 --> 00:14:50,070
+تربيع اللي
+
+160
+00:14:50,070 --> 00:14:55,070
+هو اتنين و اربعين الف و ستمية و اتنين و تلاتين
+
+161
+00:14:55,070 --> 00:14:59,450
+يعني ال RA هتكون تسابر
+
+162
+00:15:13,580 --> 00:15:24,620
+تطلع ميتين و ستة point اربع تمانية نفس
+
+163
+00:15:24,620 --> 00:15:27,420
+الاشي عندي ال length of path of bristles اللي هو
+
+164
+00:15:27,420 --> 00:15:35,740
+اربع و تلاتين اربع و تلاتين point اتنين بالساوة
+
+165
+00:15:35,740 --> 00:15:43,160
+الجزر التربيعيللـ RA تربية انها قسمية تربية cosine
+
+166
+00:15:43,160 --> 00:15:51,160
+تربية ال 20 minus 100 sine ال 20 و انا بحسب ال RA
+
+167
+00:15:51,160 --> 00:15:52,620
+تربية
+
+168
+00:16:29,550 --> 00:16:35,910
+13509 ومنها بحسب ال RA تطلع
+
+169
+00:16:35,910 --> 00:16:42,410
+116
+
+170
+00:16:42,410 --> 00:16:47,150
+.23
+
+171
+00:16:47,150 --> 00:16:52,990
+معناته
+
+172
+00:16:52,990 --> 00:17:01,020
+ال addendum على ال gearالـ addendum على
+
+173
+00:17:01,020 --> 00:17:07,560
+ال .. على ال .. على ال .. على الجير هتكون RA minus
+
+174
+00:17:07,560 --> 00:17:08,120
+R
+
+175
+00:17:11,250 --> 00:17:15,910
+اللي هي هتطلع ميتين و ستة point أربعة تمانية minus
+
+176
+00:17:15,910 --> 00:17:20,250
+متين تطلع اللي هو ستة point أربعة تمانية
+
+177
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+181
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+هذا ستاش point اتنين تلاتة بالنسبالي does not make
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+sense فاتأكدوا
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+183
+00:17:53,960 --> 00:17:59,000
+في ايش غلط في الأرقام هذا check it out افحصوه
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+184
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+يعني make sense يطلع ستة point اتنين تلاتة مش ستاش
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+185
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+point اتنين تلاتة في شي مش صحيح افحصوها عيدوا
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+186
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+ال .. ال .. ال addenda مع الجير بيساوى تقرير ال
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+188
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+addenda مع ال panio فبطلع .. مفروض يطلع اقرب من
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+189
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+بعض مش واحدة ستة واحدة ستاش فهذا الرقم does not
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+190
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+
+191
+00:18:30,960 --> 00:18:32,760
+انكوا تحلوا المسألة ورايا
+
+192
+00:18:35,370 --> 00:18:39,690
+هيك بيكون أنهينا المحاضرة التالتة، أعطيكوا العافية
+
+193
+00:18:39,690 --> 00:18:42,390
+للمرة الجاية بنكمل، السلام عليكم
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/eLvenvroSbg_raw.json b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/eLvenvroSbg_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..4026a712ef6cbb3b70ab0c54ed35da2142fd149f
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/eLvenvroSbg_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3171, "start": 4.89, "end": 31.71, "text": "بسم الله الرحمن الرحيم السلام عليكم ورحمة الله وبركاته نعود و نستكمل chapter ال gears في مادة نظرية الآلات المرة الفاترة حكينا اتعرفنا على حسابات اللي هو ال length و path of contact حكينا ال path of contact متكون من ال path of approach و ال path of recess", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21136, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224, 8717, 3615, 23328, 4032, 8717, 14851, 24793, 1211, 7187, 2423, 20915, 8978, 3714, 18513, 3660, 8717, 19913, 2288, 10632, 6024, 95, 1211, 9307, 9673, 25720, 27188, 9307, 25720, 11331, 4117, 1829, 8315, 1975, 2655, 3615, 28480, 8315, 15844, 11331, 3794, 16758, 9307, 13672, 1829, 31439, 2423, 4641, 4032, 3100, 295, 3385, 11331, 4117, 1829, 8315, 2423, 3100, 295, 3385, 44650, 30544, 9154, 2423, 3100, 295, 3109, 4032, 2423, 3100, 295, 16417], "avg_logprob": -0.14276315193427236, "compression_ratio": 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"وينتهي من نقطة تقاطع الـ addendum سيكت بتاع ال driver مع ال pressure اللي هي نقطة B", "tokens": [2407, 9957, 47395, 1829, 9154, 8717, 47432, 3660, 6055, 4587, 41193, 3615, 2423, 39184, 909, 27574, 8608, 1829, 4117, 2655, 39894, 45761, 2423, 6787, 20449, 2423, 3321, 13672, 1829, 39896, 8717, 47432, 3660, 363], "avg_logprob": -0.33593749829701014, "compression_ratio": 1.2095238095238094, "no_speech_prob": 0.0, "words": [{"start": 168.43, "end": 169.15, "word": "وينتهي", "probability": 0.8729248046875}, {"start": 169.15, "end": 169.35, "word": " من", "probability": 0.61767578125}, {"start": 169.35, "end": 170.53, "word": " نقطة", "probability": 0.9361979166666666}, {"start": 170.53, "end": 171.13, "word": " تقاطع", "probability": 0.9110107421875}, {"start": 171.13, "end": 171.49, "word": " الـ", "probability": 0.6806640625}, {"start": 171.49, "end": 171.91, "word": " addendum", "probability": 0.449462890625}, {"start": 171.91, "end": 172.37, "word": " سيكت", "probability": 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ال driven يعني ال addendum circle هصير اكبر ممكن ايش؟ يصير ال contact تصير تحت ال base circle و احنا عارفين ال involute is generated from the base circle", "tokens": [6027, 7649, 45164, 25961, 21136, 1863, 9122, 26890, 8315, 2423, 909, 27574, 6329, 337, 1293, 1975, 2407, 45164, 36764, 24401, 9154, 1975, 2655, 1863, 9957, 337, 1293, 2423, 6787, 4032, 2423, 9555, 37495, 22653, 2423, 909, 27574, 6329, 8032, 9381, 13546, 1975, 4117, 26890, 3714, 43020, 1975, 1829, 8592, 22807, 7251, 9381, 13546, 2423, 3385, 6055, 9381, 13546, 6055, 33753, 2423, 3096, 6329, 4032, 1975, 5016, 8315, 6225, 9640, 5172, 9957, 2423, 2499, 1169, 307, 10833, 490, 264, 3096, 6329], "avg_logprob": -0.1605902777777778, "compression_ratio": 1.700507614213198, "no_speech_prob": 0.0, "words": [{"start": 178.87, "end": 179.41, "word": "الان", "probability": 0.736083984375}, {"start": 179.41, "end": 179.63, "word": " لو", "probability": 0.99365234375}, {"start": 179.63, "end": 179.89, "word": " كان", "probability": 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ان ال involute profile بيعطينى إيش؟ positive conjugate .. conjugate mesh، يعني دايما بيكون في عندى contact", "tokens": [28814, 15730, 4724, 1829, 9381, 13546, 2423, 3385, 2507, 264, 3096, 6329, 12399, 2423, 7649, 2507, 264, 3096, 6329, 19446, 41185, 43242, 7578, 2499, 1169, 12399, 3673, 2423, 3096, 6329, 4724, 1829, 30544, 8978, 43242, 7578, 2499, 1169, 7964, 12399, 4032, 1975, 5016, 8315, 11331, 995, 4117, 9957, 16472, 2423, 2499, 1169, 7964, 4724, 1829, 3615, 9566, 9957, 7578, 11933, 1829, 8592, 22807, 3353, 45064, 4386, 45064, 17407, 12399, 37495, 22653, 11778, 47302, 15042, 4724, 1829, 30544, 8978, 43242, 7578, 3385], "avg_logprob": -0.22789634546128715, "compression_ratio": 1.7704081632653061, "no_speech_prob": 0.0, "words": [{"start": 201.97, "end": 202.71, "word": "إذا", "probability": 0.881591796875}, {"start": 202.71, "end": 203.41, "word": " بيصير", "probability": 0.936279296875}, {"start": 203.41, "end": 203.77, "word": " ال", "probability": 0.98388671875}, {"start": 203.77, 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"temperature": 1.0}, {"id": 13, "seek": 29864, "start": 280.9, "end": 298.64, "text": "انبين عندي .. عندي هين ال A1 مركز ال penion اللي هو ال driver ال gear و ال A2 مركز دوران ال .. ال wheel او ال gear هذه هي ال base circle لل penion", "tokens": [7649, 3555, 9957, 18871, 16254, 4386, 18871, 16254, 8032, 9957, 2423, 316, 16, 3714, 31747, 11622, 2423, 3435, 313, 13672, 1829, 31439, 2423, 6787, 2423, 7394, 4032, 2423, 316, 17, 3714, 31747, 11622, 11778, 13063, 7649, 2423, 4386, 2423, 5589, 1975, 2407, 2423, 7394, 29538, 39896, 2423, 3096, 6329, 24976, 3435, 313], "avg_logprob": -0.3083726482571296, "compression_ratio": 1.536764705882353, "no_speech_prob": 0.0, "words": [{"start": 280.9, "end": 281.5, "word": "انبين", "probability": 0.6595865885416666}, {"start": 281.5, "end": 281.9, "word": " عندي", "probability": 0.61175537109375}, {"start": 281.9, "end": 282.04, "word": " ..", "probability": 0.43701171875}, {"start": 282.04, "end": 282.44, "word": " عندي", "probability": 0.78076171875}, 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approach length of path of approach بالساوية الجزر التربيعي للRA capital تربيع minus R تربيع cos تربيع في minus R sin في", "tokens": [49136, 533, 909, 27574, 6681, 337, 1184, 7394, 37495, 22653, 31439, 13672, 1829, 4724, 1829, 5016, 4117, 1829, 1975, 1829, 3224, 31439, 13672, 1829, 4724, 1829, 5016, 4117, 1829, 1975, 1829, 3224, 16712, 6027, 1829, 2423, 7649, 2423, 4641, 295, 3100, 295, 3109, 4641, 295, 3100, 295, 3109, 20666, 3794, 995, 2407, 10632, 25724, 11622, 2288, 16712, 2288, 21292, 3615, 1829, 24976, 3750, 4238, 6055, 2288, 21292, 3615, 3175, 497, 6055, 2288, 21292, 3615, 3792, 6055, 2288, 21292, 3615, 8978, 3175, 497, 3343, 8978], "avg_logprob": -0.2340073585510254, "compression_ratio": 1.7679558011049723, "no_speech_prob": 0.0, "words": [{"start": 607.68, "end": 608.48, "word": "determine", "probability": 0.75341796875}, {"start": 608.48, "end": 609.02, "word": " addendum", "probability": 0.782958984375}, {"start": 609.02, "end": 609.86, "word": " height", "probability": 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"end": 1096.32, "word": " تقريبا", "probability": 0.9927734375}, {"start": 1096.32, "end": 1096.52, "word": " ال", "probability": 0.984375}, {"start": 1096.52, "end": 1096.52, "word": " ..", "probability": 0.62841796875}, {"start": 1096.52, "end": 1096.94, "word": " ال", "probability": 0.9375}, {"start": 1096.94, "end": 1096.94, "word": " ..", "probability": 0.96240234375}, {"start": 1096.94, "end": 1097.34, "word": " ال", "probability": 0.9658203125}, {"start": 1097.34, "end": 1097.34, "word": " ..", "probability": 0.84375}, {"start": 1097.34, "end": 1097.54, "word": " ال", "probability": 0.9580078125}, {"start": 1097.54, "end": 1097.96, "word": " addenda", "probability": 0.6573486328125}, {"start": 1097.96, "end": 1098.16, "word": " مع", "probability": 0.99169921875}, {"start": 1098.16, "end": 1098.54, "word": " الجير", "probability": 0.86962890625}, {"start": 1098.54, "end": 1099.18, "word": " بيساوى", "probability": 0.7159830729166666}, {"start": 1099.18, "end": 1099.56, "word": " تقرير", "probability": 0.8729248046875}, {"start": 1099.56, "end": 1099.62, "word": " ال", "probability": 0.94091796875}, {"start": 1099.62, "end": 1099.98, "word": " addenda", "probability": 0.934814453125}, {"start": 1099.98, "end": 1100.14, "word": " مع", "probability": 0.9912109375}, {"start": 1100.14, "end": 1100.26, "word": " ال", "probability": 0.96142578125}, {"start": 1100.26, "end": 1100.46, "word": " panio", "probability": 0.2586669921875}, {"start": 1100.46, "end": 1100.82, "word": " فبطلع", "probability": 0.67900390625}, {"start": 1100.82, "end": 1100.92, "word": " ..", "probability": 0.75048828125}, {"start": 1100.92, "end": 1101.12, "word": " مفروض", "probability": 0.83935546875}, {"start": 1101.12, "end": 1101.34, "word": " يطلع", "probability": 0.8717041015625}, {"start": 1101.34, "end": 1101.72, "word": " اقرب", "probability": 0.77685546875}, {"start": 1101.72, "end": 1101.94, "word": " من", "probability": 0.9921875}, {"start": 1101.94, "end": 1102.34, "word": " بعض", "probability": 0.9951171875}, {"start": 1102.34, "end": 1103.02, "word": " مش", "probability": 0.9375}, {"start": 1103.02, "end": 1103.34, "word": " واحدة", "probability": 0.8668619791666666}, {"start": 1103.34, "end": 1103.64, "word": " ستة", "probability": 0.9607747395833334}, {"start": 1103.64, "end": 1103.96, "word": " واحدة", "probability": 0.8308919270833334}, {"start": 1103.96, "end": 1104.3, "word": " ستاش", "probability": 0.9817708333333334}, {"start": 1104.3, "end": 1104.52, "word": " فهذا", "probability": 0.7391764322916666}, {"start": 1104.52, "end": 1104.82, "word": " الرقم", "probability": 0.9791666666666666}, {"start": 1104.82, "end": 1105.0, "word": " does", "probability": 0.73095703125}, {"start": 1105.0, "end": 1105.28, "word": " not", "probability": 0.96826171875}, {"start": 1105.28, "end": 1105.7, "word": " make", "probability": 0.9521484375}, {"start": 1105.7, "end": 1106.44, "word": " sense", "probability": 0.828125}, {"start": 1106.44, "end": 1107.78, "word": " الرقم", "probability": 0.9654947916666666}, {"start": 1107.78, "end": 1108.2, "word": " التاني", "probability": 0.9733072916666666}, {"start": 1108.2, "end": 1108.98, "word": " افحصوه", "probability": 0.982177734375}, {"start": 1108.98, "end": 1110.46, "word": " براحتكوا", "probability": 0.7724609375}, {"start": 1110.46, "end": 1110.96, "word": " بتوقع", "probability": 0.8811848958333334}, {"start": 1110.96, "end": 1111.42, "word": " انكوا", "probability": 0.7566731770833334}, {"start": 1111.42, "end": 1111.84, "word": " تحلوا", "probability": 0.96337890625}, {"start": 1111.84, "end": 1112.26, "word": " المسألة", "probability": 0.978515625}, {"start": 1112.26, "end": 1112.76, "word": " ورايا", "probability": 0.90771484375}], "temperature": 1.0}, {"id": 42, "seek": 112239, "start": 1115.37, "end": 1122.39, "text": "هيك بيكون أنهينا المحاضرة التالتة، أعطيكوا العافية للمرة الجاية بنكمل، السلام عليكم", "tokens": [3224, 1829, 4117, 4724, 1829, 30544, 14739, 3224, 1829, 8315, 9673, 5016, 46958, 25720, 16712, 6027, 2655, 3660, 12399, 5551, 3615, 9566, 1829, 4117, 14407, 18863, 31845, 10632, 5296, 19528, 25720, 25724, 995, 10632, 44945, 24793, 1211, 12399, 21136, 37440, 25894, 24793], "avg_logprob": -0.22583575304164444, "compression_ratio": 1.5048543689320388, "no_speech_prob": 0.0001308917999267578, "words": [{"start": 1115.3700000000001, "end": 1116.23, "word": "هيك", "probability": 0.7233072916666666}, {"start": 1116.23, "end": 1116.53, "word": " بيكون", "probability": 0.7679036458333334}, {"start": 1116.53, "end": 1116.99, "word": " أنهينا", "probability": 0.8536376953125}, {"start": 1116.99, "end": 1117.73, "word": " المحاضرة", "probability": 0.9884033203125}, {"start": 1117.73, "end": 1119.11, "word": " التالتة،", "probability": 0.842578125}, {"start": 1119.11, "end": 1119.35, "word": " أعطيكوا", "probability": 0.7880045572916666}, {"start": 1119.35, "end": 1119.69, "word": " العافية", "probability": 0.8958333333333334}, {"start": 1119.69, "end": 1120.17, "word": " للمرة", "probability": 0.77294921875}, {"start": 1120.17, "end": 1120.57, "word": " الجاية", "probability": 0.7607421875}, {"start": 1120.57, "end": 1121.81, "word": " بنكمل،", "probability": 0.752685546875}, {"start": 1121.81, "end": 1122.07, "word": " السلام", "probability": 0.962158203125}, {"start": 1122.07, "end": 1122.39, "word": " عليكم", "probability": 0.86865234375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1122.591875, "duration_after_vad": 986.7893750000002}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/eLvenvroSbg_raw.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/eLvenvroSbg_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..1a5eab7dcc90ca2d616e22dfa25387735863adba
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/eLvenvroSbg_raw.srt
@@ -0,0 +1,772 @@
+1
+00:00:04,890 --> 00:00:07,870
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,870 --> 00:00:11,950
+وبركاته نعود
+
+3
+00:00:11,950 --> 00:00:17,750
+و نستكمل chapter ال gears في مادة نظرية الآلات
+
+4
+00:00:17,750 --> 00:00:23,210
+المرة الفاترة حكينا اتعرفنا على حسابات اللي هو ال
+
+5
+00:00:23,210 --> 00:00:26,810
+length و path of contact حكينا ال path of contact
+
+6
+00:00:26,810 --> 00:00:31,710
+متكون من ال path of approach و ال path of recess
+
+7
+00:00:32,410 --> 00:00:35,030
+عملنا معادل ال path of approach ومعادل ال path of
+
+8
+00:00:35,030 --> 00:00:38,050
+recess بعدين حكينا ال length of arc of contact
+
+9
+00:00:38,050 --> 00:00:40,530
+بستوى ال length of path of contact على cos φ
+
+10
+00:00:40,530 --> 00:00:44,970
+وحسبنا ال contact ratio بستوى ال length of path of
+
+11
+00:00:44,970 --> 00:00:47,470
+.. ال length of arc of contact على ال circular
+
+12
+00:00:47,470 --> 00:00:52,190
+pitch على pc اللي هي πي في م حلينا تلت أمثلة،
+
+13
+00:00:52,190 --> 00:00:56,350
+اليوم هنكمل و هندرس ال interference in involute
+
+14
+00:00:56,350 --> 00:01:00,610
+gears الآن إيش معناه interference؟
+
+15
+00:01:02,420 --> 00:01:09,360
+خلينا نقدم لها لإن أنا مبين عندي هين أنا عندي اللي
+
+16
+00:01:09,360 --> 00:01:13,320
+هو ال driver اللي هو جير اتنين مركزه O اتنين و ال
+
+17
+00:01:13,320 --> 00:01:18,760
+driven جير مركزه O تلاتة ال driver بدور في .. ب ..
+
+18
+00:01:18,760 --> 00:01:23,440
+ب .. باتجاه عقارب الساعة ال driven بدور عكسه في
+
+19
+00:01:23,440 --> 00:01:30,790
+عكس عقارب الساعة ال contact .. ال contactأو اللي
+
+20
+00:01:30,790 --> 00:01:34,190
+بتداخل الصناعة في بعض ببدأ ال contact من لحظة
+
+21
+00:01:34,190 --> 00:01:40,370
+تقاطع ال addendum circle بتاعة ال driven مع ال
+
+22
+00:01:40,370 --> 00:01:46,790
+pressure line مع ال pressure line يعني النقطة A
+
+23
+00:01:46,790 --> 00:01:50,790
+وينتهي ال contact من تقاطع ال addendum circle
+
+24
+00:01:50,790 --> 00:01:54,350
+بتاعة ال driver مع ال pressure .. مع ال pressure
+
+25
+00:01:54,350 --> 00:01:57,170
+line اللي هي النقطة B
+
+26
+00:02:04,920 --> 00:02:10,480
+طيب إذا كبرت ال addendum circles، يعني خلت السن
+
+27
+00:02:10,480 --> 00:02:15,880
+أطول، لحظة خلنا نرجع، عندي هذه هي ال base circle،
+
+28
+00:02:15,880 --> 00:02:19,480
+هذه ال base circle لل driver، هذه ال .. ال
+
+29
+00:02:19,480 --> 00:02:22,260
+addendum circle لل driver، هذه ال pitch circle لل
+
+30
+00:02:22,260 --> 00:02:25,860
+driver، هذه ال addendum circle لل driverهذه هي ال
+
+31
+00:02:25,860 --> 00:02:29,560
+.. هذه هي ال .. ال addendum circle لل driven هذه
+
+32
+00:02:29,560 --> 00:02:34,540
+ال base circle لل driver لل driven هذه ال pitch
+
+33
+00:02:34,540 --> 00:02:37,900
+circle لل driven وهذه ال addendum circle لل driven
+
+34
+00:02:37,900 --> 00:02:42,100
+حكينا ال contact بيبدأ من تقاطع ال addendum circle
+
+35
+00:02:42,100 --> 00:02:45,220
+بتاعة ال driven مع ال pressure يعني بيبدأ تقاطع ..
+
+36
+00:02:45,220 --> 00:02:50,530
+بيبدأ ال .. ال contact من نقطة Aوينتهي من نقطة
+
+37
+00:02:50,530 --> 00:02:53,670
+تقاطع الـ addendum سيكت بتاع ال driver مع ال
+
+38
+00:02:53,670 --> 00:02:55,990
+pressure اللي هي نقطة B
+
+39
+00:02:58,870 --> 00:03:03,490
+الان لو كان السن كبرنا ال addendum circle for both
+
+40
+00:03:03,490 --> 00:03:08,650
+او لو واحد من اتنين for both ال driver و ال driven
+
+41
+00:03:08,650 --> 00:03:13,550
+يعني ال addendum circle هصير اكبر ممكن ايش؟ يصير
+
+42
+00:03:13,550 --> 00:03:17,970
+ال contact تصير تحت ال base circle و احنا عارفين
+
+43
+00:03:17,970 --> 00:03:22,710
+ال involute is generated from the base circleإذا
+
+44
+00:03:22,710 --> 00:03:27,490
+بيصير ال contact below the base circle، الان below
+
+45
+00:03:27,490 --> 00:03:30,770
+the base circle مافي عندى involute، above ال base
+
+46
+00:03:30,770 --> 00:03:33,110
+circle بيكون في عندى involute profile، و احنا
+
+47
+00:03:33,110 --> 00:03:36,150
+حاكين ان ال involute profile بيعطينى إيش؟ positive
+
+48
+00:03:36,150 --> 00:03:39,910
+conjugate .. conjugate mesh، يعني دايما بيكون في
+
+49
+00:03:39,910 --> 00:03:43,930
+عندى contactإذا بصي ال contact below the base
+
+50
+00:03:43,930 --> 00:03:49,710
+circle ال .. ال .. ال tip .. ال tip of the driven
+
+51
+00:03:49,710 --> 00:03:55,550
+gear will dig in هتغرز في إيش؟ في ال .. في ال ..
+
+52
+00:03:55,550 --> 00:04:01,000
+في ال profilebelow the base circle of the driver
+
+53
+00:04:01,000 --> 00:04:06,300
+في الحالة هذه هنحكي انه صارت تداخل بين ال two
+
+54
+00:04:06,300 --> 00:04:11,040
+gears انمش يعني هيصير السن بتاع ال .. ال .. ال
+
+55
+00:04:11,040 --> 00:04:15,720
+driven يغرز في السن بتاع ال driver و يصير يوكل منه
+
+56
+00:04:15,720 --> 00:04:20,210
+بنهرق ال gear الترس ايش؟ بنهرقهذا ال interference
+
+57
+00:04:20,210 --> 00:04:25,250
+مش لازم يصير عنده interference مش لازم يصير عنده
+
+58
+00:04:25,250 --> 00:04:28,510
+interference لازم نتجنبه في ال design بتاع ال gear
+
+59
+00:04:28,510 --> 00:04:32,550
+طيب
+
+60
+00:04:40,900 --> 00:04:45,500
+انبين عندي .. عندي هين ال A1 مركز ال penion اللي
+
+61
+00:04:45,500 --> 00:04:50,640
+هو ال driver ال gear و ال A2 مركز دوران ال .. ال
+
+62
+00:04:50,640 --> 00:04:59,860
+wheel او ال gear هذه هي ال base circle لل penionو
+
+63
+00:04:59,860 --> 00:05:04,100
+هذه ال base circle لل .. لل driven و ال pressure
+
+64
+00:05:04,100 --> 00:05:07,780
+line بيكون tangent لل base circle .. لل both base
+
+65
+00:05:07,780 --> 00:05:09,980
+circles يعني هاي ال pressure line tangent لل base
+
+66
+00:05:09,980 --> 00:05:14,040
+circle لل gear و tangent لل base circle لل pinion
+
+67
+00:05:14,040 --> 00:05:17,980
+هذه النقطة هي ال pitch point هذه طبعا هذه ال
+
+68
+00:05:17,980 --> 00:05:21,100
+addendum circle لل driven و هذه addendum circle لل
+
+69
+00:05:21,100 --> 00:05:27,020
+driver احنا حكينا ال contactببدأ من تقاطع ال
+
+70
+00:05:27,020 --> 00:05:33,740
+addendum circle ال addendum circle مع ال pressure
+
+71
+00:05:33,740 --> 00:05:40,700
+line ال pressure line و ينتهي من تقاطع ال addendum
+
+72
+00:05:40,700 --> 00:05:46,180
+circle بتاعة ال penion مع ال pressure line الآن ال
+
+73
+00:05:46,180 --> 00:05:52,320
+critical location below which هيصير تدخل بين ال
+
+74
+00:05:52,320 --> 00:05:59,800
+penion و الجيرانه .. انه ال addendum تقاطع ال
+
+75
+00:05:59,800 --> 00:06:05,020
+addendum ال circle لأن لو رسمت عمودي من عمودي من
+
+76
+00:06:05,020 --> 00:06:09,860
+ال center O1 على ال pressure line بحصل نقطة M و
+
+77
+00:06:09,860 --> 00:06:13,520
+عمودي من ال center O2 على ال pressure line بحصل
+
+78
+00:06:13,520 --> 00:06:19,200
+نقطة N الان اذا صار ال .. ال .. ال .. ال .. هى ال
+
+79
+00:06:19,200 --> 00:06:22,380
+addendum circle بتاعة ال driven و هى ال pressure
+
+80
+00:06:22,380 --> 00:06:27,280
+.. هى ال pressureال pressure line إذا ال contact
+
+81
+00:06:27,280 --> 00:06:30,880
+point ال critical contact point اللي هي نقطة M و
+
+82
+00:06:30,880 --> 00:06:35,920
+نقطة N هدفهم ال critical location إذا ال addendum
+
+83
+00:06:35,920 --> 00:06:40,120
+circle بتاعة ال driven صارت أكبر صارت هنا هيصير
+
+84
+00:06:40,120 --> 00:06:43,740
+عند البداية ال contact below ال base circle
+
+85
+00:06:43,740 --> 00:06:50,020
+وبالتالي بيصير انغراز لسن اللي driven جير مع سن
+
+86
+00:06:50,020 --> 00:06:52,860
+اللي driver جير و بيصير هريان بيصير الأسنان يقلب
+
+87
+00:06:52,860 --> 00:06:53,260
+بعض
+
+88
+00:07:02,870 --> 00:07:08,250
+طيب معناته ال maximum length of path of contact ..
+
+89
+00:07:08,250 --> 00:07:11,390
+ال maximum length of path of contact اللي بعده
+
+90
+00:07:11,390 --> 00:07:17,170
+بصير عندي interference هيكون هو عبارة عن MN .. MN
+
+91
+00:07:17,170 --> 00:07:23,410
+ال MP .. ال MP هو path of approachو ال PN هو ال
+
+92
+00:07:23,410 --> 00:07:29,090
+critical أو ال maximum path of recess ال MP بيساوي
+
+93
+00:07:29,090 --> 00:07:34,450
+اللي هو ال O1P في sin Phi و ال PN بيساوي O2P في
+
+94
+00:07:34,450 --> 00:07:41,390
+sin Phi ال O1P هو ال pitch ال radius لل pinion و
+
+95
+00:07:41,390 --> 00:07:46,010
+ال O2P هو ال pitch radius لل gear معناته ال
+
+96
+00:07:46,010 --> 00:07:50,030
+maximum valuesالـ maximum length of path of
+
+97
+00:07:50,030 --> 00:07:53,030
+contact بيستوي R small زي R capital في الـ sine
+
+98
+00:07:53,030 --> 00:07:56,070
+فيه و ال maximum length of R contact اللي هو اللي
+
+99
+00:07:56,070 --> 00:07:58,870
+بيستوي ال maximum length of path of contact على ال
+
+100
+00:07:58,870 --> 00:08:01,690
+cosine فيه يعني R small زي R capital في ال sine
+
+101
+00:08:01,690 --> 00:08:03,970
+فيه على ال cosine فيه بيستوي R small زي R capital
+
+102
+00:08:03,970 --> 00:08:09,890
+في ال cos فيه التان الفيه خلينا نشوف نحل example
+
+103
+00:08:19,520 --> 00:08:24,340
+two mating gears having twenty and forty involute
+
+104
+00:08:24,340 --> 00:08:27,460
+teeth of module ten millimeter and twenty degrees
+
+105
+00:08:27,460 --> 00:08:38,340
+pressure angle فيعني دي two mating gears عدد
+
+106
+00:08:38,340 --> 00:08:43,740
+سنان البنيون T1 اللي هو عشرين سن عدد سنان الجير T2
+
+107
+00:08:43,740 --> 00:08:45,840
+اللي هي أربعين سن
+
+108
+00:08:48,710 --> 00:08:59,450
+و ال module عشرة و ال pressure angle فاي بتساوي
+
+109
+00:08:59,450 --> 00:09:10,850
+عشرين درجة ال addendum على
+
+110
+00:09:10,850 --> 00:09:13,890
+كل عجلة هنعمل بطوله
+
+111
+00:09:16,050 --> 00:09:20,350
+such that such a such a length that the line of
+
+112
+00:09:20,350 --> 00:09:25,630
+contact the line of contact in on each side of the
+
+113
+00:09:25,630 --> 00:09:31,570
+pitch point has half the maximum possible length
+
+114
+00:09:31,570 --> 00:09:37,130
+يعني أنا عندى عند ال pitch point في جزء يعني أنا
+
+115
+00:09:37,130 --> 00:09:40,830
+عند ال contact اللى هو في عندى length of path of
+
+116
+00:09:40,830 --> 00:09:45,790
+approach و في عندى length of path of recessهو هدول
+
+117
+00:09:45,790 --> 00:09:48,170
+على الطرفي واحد على الشمال واحد على اليمين ال
+
+118
+00:09:48,170 --> 00:09:53,490
+pitch point اللي بدنا نعمل addendum بحيث انه بحيث
+
+119
+00:09:53,490 --> 00:10:00,270
+انه يكون such that the line of contact in each
+
+120
+00:10:00,270 --> 00:10:05,390
+side of the pitch point has a pitch point has half
+
+121
+00:10:05,390 --> 00:10:09,020
+the maximum possible lengthdetermine addendum
+
+122
+00:10:09,020 --> 00:10:14,880
+height for each gear يعني هو اللي بيحكي ايه هو
+
+123
+00:10:14,880 --> 00:10:21,020
+اللي بيحكي ايه التالي الان ال length of path of
+
+124
+00:10:21,020 --> 00:10:27,320
+approach length of path of approach بالساوية الجزر
+
+125
+00:10:27,320 --> 00:10:31,480
+التربيعي للRA capital تربيع minus R تربيع cos
+
+126
+00:10:31,480 --> 00:10:36,060
+تربيع في minus R sin في
+
+127
+00:10:38,700 --> 00:10:42,740
+والـ length of path of recess بالسواء جزر التربيع
+
+128
+00:10:42,740 --> 00:10:47,640
+ايه لـ ra تربيع minus r تربيع cosine تربيع فاي
+
+129
+00:10:47,640 --> 00:10:53,400
+minus r sine فاي طيب
+
+130
+00:10:53,400 --> 00:10:57,380
+ال R capital ايه ال RA و ال RAزيش معروفين لكن ممكن
+
+131
+00:10:57,380 --> 00:11:05,660
+اعرف ال R ال R small هتكون تساوي عشرين في عشرة على
+
+132
+00:11:05,660 --> 00:11:11,830
+اتنين يعني هتكون ميت ميلي مترالـ R capital هتكون
+
+133
+00:11:11,830 --> 00:11:24,070
+اربعين في عشرة على اتنين متين ملي متر هو
+
+134
+00:11:24,070 --> 00:11:30,170
+بيحكي لي ال length of path of approach الحقيقة
+
+135
+00:11:30,170 --> 00:11:36,070
+ال
+
+136
+00:11:36,070 --> 00:11:44,260
+length of pathof approach الحقيقة هيكون نص ال
+
+137
+00:11:44,260 --> 00:11:52,820
+maximum possible value نص R sin
+
+138
+00:11:52,820 --> 00:11:54,020
+Phi
+
+139
+00:12:11,660 --> 00:12:18,580
+طيب و ال length of path of recess هكون نص R
+
+140
+00:12:18,580 --> 00:12:26,140
+capital sin ف يعني لو عوضة .. لو عوضة يعني length
+
+141
+00:12:26,140 --> 00:12:31,680
+of path of approach هيكون
+
+142
+00:12:31,680 --> 00:12:36,440
+length of path of approach هكون سواء نص في R اللي
+
+143
+00:12:36,440 --> 00:12:39,240
+هو مية في sin العشرين
+
+144
+00:12:45,870 --> 00:12:53,430
+يعني خمسين في sign العشرين بطلع سبعتاش point one
+
+145
+00:12:53,430 --> 00:13:00,910
+millimeter و ال length of path of recess هكون نص
+
+146
+00:13:00,910 --> 00:13:08,850
+في ال R capital متين في sign العشرين
+
+147
+00:13:16,820 --> 00:13:22,760
+هيطلع تنين و تلاتين اربعة و تلاتين point اتنين
+
+148
+00:13:22,760 --> 00:13:25,980
+نعود
+
+149
+00:13:25,980 --> 00:13:29,720
+هنا ال
+
+150
+00:13:29,720 --> 00:13:32,440
+link to path of approach اللي هو طلع ليه سبعتاش
+
+151
+00:13:32,440 --> 00:13:41,300
+point واحد بالساوية الجزر التربيعي لل RA تربيع
+
+152
+00:13:42,230 --> 00:13:49,610
+minus ال R اللي هي متين تربية cosine تربية العشرين
+
+153
+00:13:49,610 --> 00:13:56,730
+minus اللي هو متين sin
+
+154
+00:13:56,730 --> 00:14:05,550
+العشرين ومنها بحسب ال R a بتطلع نحو التالي يعني
+
+155
+00:14:05,550 --> 00:14:10,210
+السبعتاش
+
+156
+00:14:10,210 --> 00:14:29,460
+one to oneزائد متين في sign عشرين يساوي تربيع
+
+157
+00:14:29,460 --> 00:14:34,000
+يساوي زائد
+
+158
+00:14:35,370 --> 00:14:46,250
+متين تربيع في cosine عشرين تربيع يساوي تطلع ال RA
+
+159
+00:14:46,250 --> 00:14:50,070
+تربيع اللي
+
+160
+00:14:50,070 --> 00:14:55,070
+هو اتنين و اربعين الف و ستمية و اتنين و تلاتين
+
+161
+00:14:55,070 --> 00:14:59,450
+يعني ال RA هتكون تسابر
+
+162
+00:15:13,580 --> 00:15:24,620
+تطلع ميتين و ستة point اربع تمانية نفس
+
+163
+00:15:24,620 --> 00:15:27,420
+الاشي عندي ال length of path of bristles اللي هو
+
+164
+00:15:27,420 --> 00:15:35,740
+اربع و تلاتين اربع و تلاتين point اتنين بالساوة
+
+165
+00:15:35,740 --> 00:15:43,160
+الجزر التربيعيللـ RA تربية انها قسمية تربية cosine
+
+166
+00:15:43,160 --> 00:15:51,160
+تربية ال 20 minus 100 sine ال 20 و انا بحسب ال RA
+
+167
+00:15:51,160 --> 00:15:52,620
+تربية
+
+168
+00:16:29,550 --> 00:16:35,910
+13509 ومنها بحسب ال RA تطلع
+
+169
+00:16:35,910 --> 00:16:42,410
+116
+
+170
+00:16:42,410 --> 00:16:47,150
+.23
+
+171
+00:16:47,150 --> 00:16:52,990
+معناته
+
+172
+00:16:52,990 --> 00:17:01,020
+ال addendum على ال gearالـ addendum على
+
+173
+00:17:01,020 --> 00:17:07,560
+ال .. على ال .. على ال .. على الجير هتكون RA minus
+
+174
+00:17:07,560 --> 00:17:08,120
+R
+
+175
+00:17:11,250 --> 00:17:15,910
+اللي هي هتطلع ميتين و ستة point أربعة تمانية minus
+
+176
+00:17:15,910 --> 00:17:20,250
+متين تطلع اللي هو ستة point أربعة تمانية
+
+177
+00:17:20,250 --> 00:17:24,850
+millimeter ال addenda مع ال pen name هتكون ال ra
+
+178
+00:17:24,850 --> 00:17:34,750
+minus ال r يعني هتكون مية و ستاش point اتنين تلاتة
+
+179
+00:17:34,750 --> 00:17:37,690
+minus مية
+
+180
+00:17:41,320 --> 00:17:46,940
+هتطلع ستاش point اتنين تلاتة millimeter طبعا الرقم
+
+181
+00:17:46,940 --> 00:17:49,600
+هذا ستاش point اتنين تلاتة بالنسبالي does not make
+
+182
+00:17:49,600 --> 00:17:53,960
+sense فاتأكدوا
+
+183
+00:17:53,960 --> 00:17:59,000
+في ايش غلط في الأرقام هذا check it out افحصوه
+
+184
+00:18:02,780 --> 00:18:06,500
+يعني make sense يطلع ستة point اتنين تلاتة مش ستاش
+
+185
+00:18:06,500 --> 00:18:12,140
+point اتنين تلاتة في شي مش صحيح افحصوها عيدوا
+
+186
+00:18:12,140 --> 00:18:16,520
+الحسابات وراكوا واتأكدوا من الرقم لإن تقريبا ال ..
+
+187
+00:18:16,520 --> 00:18:19,620
+ال .. ال .. ال addenda مع الجير بيساوى تقرير ال
+
+188
+00:18:19,620 --> 00:18:21,940
+addenda مع ال panio فبطلع .. مفروض يطلع اقرب من
+
+189
+00:18:21,940 --> 00:18:25,280
+بعض مش واحدة ستة واحدة ستاش فهذا الرقم does not
+
+190
+00:18:25,280 --> 00:18:30,960
+make sense الرقم التاني افحصوه براحتكوا بتوقع
+
+191
+00:18:30,960 --> 00:18:32,760
+انكوا تحلوا المسألة ورايا
+
+192
+00:18:35,370 --> 00:18:39,690
+هيك بيكون أنهينا المحاضرة التالتة، أعطيكوا العافية
+
+193
+00:18:39,690 --> 00:18:42,390
+للمرة الجاية بنكمل، السلام عليكم
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/h4PgVc3MRLU_postprocess.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/h4PgVc3MRLU_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..5aa0d6f62def6728376a30eeb6bd0806f19ae203
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/h4PgVc3MRLU_postprocess.srt
@@ -0,0 +1,2048 @@
+1
+00:00:04,990 --> 00:00:07,770
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,770 --> 00:00:11,210
+وبركاته طبعا هنكمل هذه المحاضرة الرابعة في الشابتر
+
+3
+00:00:11,210 --> 00:00:14,870
+اللي هو inertia forces of reciprocating parts في
+
+4
+00:00:14,870 --> 00:00:18,290
+المحاضرات السابقة عملنا اللي هو kinematic analysis
+
+5
+00:00:18,290 --> 00:00:22,170
+حسبنا ال displacement velocity acceleration of the
+
+6
+00:00:22,170 --> 00:00:24,690
+piston of the slider crank mechanism حسبنا ال
+
+7
+00:00:24,690 --> 00:00:26,210
+anger velocity و ال anger acceleration لل
+
+8
+00:00:26,210 --> 00:00:31,610
+connecting rod بعدين عملنا force analysisحسب ال
+
+9
+00:00:31,610 --> 00:00:35,130
+force acting along the connecting rod ال force
+
+10
+00:00:35,130 --> 00:00:40,050
+that is transferred to the crank عملنا لها
+
+11
+00:00:40,050 --> 00:00:43,050
+تحللناها لمركبتها المركبة في اتجاه ال crank و
+
+12
+00:00:43,050 --> 00:00:45,070
+المركبة العموديه في اتجاه ال crank المركبة
+
+13
+00:00:45,070 --> 00:00:47,250
+العموديه في اتجاه ال crank هي بتعمل ال torque
+
+14
+00:00:47,250 --> 00:00:55,420
+بتخلي ال crank تدورو حسبنا ال torque بعدك درسنا ال
+
+15
+00:00:55,420 --> 00:01:01,120
+compound pendulum case how to experimentally
+
+16
+00:01:01,120 --> 00:01:06,060
+determine the rates of gyration of any rigid body
+
+17
+00:01:06,060 --> 00:01:11,380
+by oscillating this rigid body about some point
+
+18
+00:01:11,380 --> 00:01:14,560
+وبعدين بنقياس الزمن الدوري، بنقياس الزمن الدوري،
+
+19
+00:01:14,560 --> 00:01:19,760
+بنحس بإلكيجي ال rates of gyrationبعدين شوفنا كيف
+
+20
+00:01:19,760 --> 00:01:24,000
+نجيب two mass system that is dynamically
+
+21
+00:01:24,000 --> 00:01:33,440
+equivalent of a rigid body اليوم هنكمل يعني
+
+22
+00:01:33,440 --> 00:01:38,660
+بس عشان مايصيش خربطة قبل ما أقرأ العنوان نحكي
+
+23
+00:01:38,660 --> 00:01:41,340
+بعدين نفهم مش العنوان طيب
+
+24
+00:01:46,360 --> 00:01:50,360
+when two masses are placed arbitrarily then the
+
+25
+00:01:50,360 --> 00:01:53,280
+following conditions will only be satisfied اذا
+
+26
+00:01:53,280 --> 00:02:01,020
+حطيت انا عندي هي higher rigid body هي
+
+27
+00:02:01,020 --> 00:02:11,430
+البركز تقعله حطيت mass M1 وحطيت mass هنا M2بشكل
+
+28
+00:02:11,430 --> 00:02:18,540
+عشوائي حطيت M1 و M2 بحيث ان M1 و M2 بالساويةM
+
+29
+00:02:18,540 --> 00:02:24,040
+وبحيث M1L1 بيستوى M2L2 We satisfy only two
+
+30
+00:02:24,040 --> 00:02:26,340
+conditions ال two conditions اللي حققناهم احنا
+
+31
+00:02:26,340 --> 00:02:29,280
+حطناها بشكل عشوائي two conditions اللي حققناهم انه
+
+32
+00:02:29,280 --> 00:02:33,120
+مجموع ال two masses نفس ال mass الكلية درجة بزي ال
+
+33
+00:02:33,120 --> 00:02:36,180
+center of gravity لل two masses نفس ال center of
+
+34
+00:02:36,180 --> 00:02:41,040
+gravity لل total mass لكن في شرط مااتحققش اللي هو
+
+35
+00:02:41,040 --> 00:02:45,890
+ال mass momentum inertia لل two massesمش ممكن
+
+36
+00:02:45,890 --> 00:02:49,570
+يساوي ال total ال mass is not proportional to the
+
+37
+00:02:49,570 --> 00:02:53,630
+total body M1 ال 1 تربيع زي M2 التربيع لايمكن
+
+38
+00:02:53,630 --> 00:03:00,350
+تسويها اذا انا حطيت ال masses arbitrary يعني
+
+39
+00:03:00,350 --> 00:03:05,470
+لان خليني اطلع الصورة هذه عند هاي في enriched body
+
+40
+00:03:05,470 --> 00:03:11,610
+هاي مركز تقل جي حزب
+
+41
+00:03:11,610 --> 00:03:12,890
+مركز تقل جي
+
+42
+00:03:17,330 --> 00:03:23,990
+I have one mass هنا at
+
+43
+00:03:23,990 --> 00:03:37,230
+A كتلتها M واحد وبتبعد عن G مسافة
+
+44
+00:03:37,230 --> 00:03:44,550
+L واحد حطيت
+
+45
+00:03:45,820 --> 00:03:56,200
+كتلة عن D تبعد
+
+46
+00:03:56,200 --> 00:04:10,300
+عن جي ال تلاتة عشان
+
+47
+00:04:10,300 --> 00:04:13,020
+اوديت complete dynamic equivalent للمعيس الكلية
+
+48
+00:04:13,020 --> 00:04:19,900
+انا ممكن احط كتلة عند Aوكتلة عند بي
+
+49
+00:04:19,900 --> 00:04:26,980
+هذه على بعد الاتنين
+
+50
+00:04:26,980 --> 00:04:30,000
+المسهر
+
+51
+00:04:30,000 --> 00:04:35,060
+كله بين a و d هسميها ال
+
+52
+00:04:35,060 --> 00:04:39,500
+small
+
+53
+00:04:49,520 --> 00:05:00,580
+و المسابق الكتل بين a و b هسميها ال capital ال
+
+54
+00:05:00,580 --> 00:05:00,940
+capital
+
+55
+00:05:05,350 --> 00:05:08,590
+لأن في حالة لو حطيت كتلة عند A و كتلة عند B كل
+
+56
+00:05:08,590 --> 00:05:13,730
+الشروط اتحقق، هيكون عندي M1 زاد M2 بالساوية M و M1
+
+57
+00:05:13,730 --> 00:05:19,070
+L1 بالساوية M2 أقل 2 و الممتفنرش للماس at A زاد
+
+58
+00:05:19,070 --> 00:05:21,750
+ممتفنرش للماس at B حوالين G هي نفس الممتفنرش اللي
+
+59
+00:05:21,750 --> 00:05:25,800
+.. يعني هيكون عندي L1 أقل 2، يعني عندي L1الواحد
+
+60
+00:05:25,800 --> 00:05:33,300
+الاتنين بيستوي KG تربيع يعني الواحد الاتنين بيستوي
+
+61
+00:05:33,300 --> 00:05:37,260
+KG تربيع يعني لو حاطيت one mass and a و one b هذا
+
+62
+00:05:37,260 --> 00:05:39,540
+بيكون dynamic equivalent system لكن لو حاطيت mass
+
+63
+00:05:39,540 --> 00:05:43,240
+and a و b this is not dynamic equivalent لأن الشرط
+
+64
+00:05:43,240 --> 00:05:48,760
+الأولاللي هو M1 زي M2 بيستوي M بتحقق والشرط التاني
+
+65
+00:05:48,760 --> 00:05:55,940
+M1 في L1 بيستوي M2 في L3 بتحقق لكن الشرط التالت ان
+
+66
+00:05:55,940 --> 00:06:07,120
+L1 في L3 مابيستويش KG تربيع L1 في L3 مابيستويش KG
+
+67
+00:06:07,120 --> 00:06:16,540
+تربيع هتكون دي L1 L3 بيستوي sumبسميها كي واحد كي
+
+68
+00:06:16,540 --> 00:06:22,400
+واحد تربيع بسميها كي واحد
+
+69
+00:06:22,400 --> 00:06:28,660
+معناه
+
+70
+00:06:28,660 --> 00:06:34,200
+اذا الجسم الـ angle of acceleration اللي كان في
+
+71
+00:06:34,200 --> 00:06:41,320
+عكس عقار بالساعة Alpha هتكون
+
+72
+00:06:41,320 --> 00:06:41,920
+ال torque
+
+73
+00:06:44,810 --> 00:06:56,490
+الـ Torque I G في Alpha اللي
+
+74
+00:06:56,490 --> 00:07:02,630
+هي بقرة عن KGM KG تربية في Alpha ده الـ Torque
+
+75
+00:07:02,630 --> 00:07:07,390
+الأصلي for Dynamic Equal System الـ Torque for Non
+
+76
+00:07:07,390 --> 00:07:12,430
+Dynamic Equal System T1 هيكون سواء M KI
+
+77
+00:07:13,800 --> 00:07:19,860
+تربيع K أو K واحد سميه هو K واحد تربيع في Alpha
+
+78
+00:07:19,860 --> 00:07:28,220
+الان واضح هاي ال واحد هاي ال اتنين واضح ان ال واحد
+
+79
+00:07:28,220 --> 00:07:31,200
+في ال اتنين مايسويش ال واحد في ال تلاته لأنه
+
+80
+00:07:31,200 --> 00:07:36,820
+ببساطة ال اتنين غير ال تلاته فالواحد ال اتنين لا
+
+81
+00:07:36,820 --> 00:07:38,420
+تساوي ال واحد
+
+82
+00:07:41,160 --> 00:07:47,500
+الاتنين بتسويش الواحد التلاتة واضح ان الواحد في
+
+83
+00:07:47,500 --> 00:07:55,380
+الصورة الواحد في التلاتة اكبر من الواحد في الاتنين
+
+84
+00:07:55,380 --> 00:08:01,940
+معناه
+
+85
+00:08:01,940 --> 00:08:06,280
+we have to make some correction لنعمل تصحية we
+
+86
+00:08:06,280 --> 00:08:07,560
+have to make some correction
+
+87
+00:08:10,500 --> 00:08:15,880
+اللي هو correction couple هيكون ال difference Of
+
+88
+00:08:15,880 --> 00:08:25,160
+the two torques ال correction couple T prime So T
+
+89
+00:08:25,160 --> 00:08:35,700
+واحد minus T T واحد اللي هي M K واحد تربيع في
+
+90
+00:08:35,700 --> 00:08:50,330
+Alphaminus M KG تربية في الفة هيكون M ناخد هيكون
+
+91
+00:08:50,330 --> 00:09:03,710
+عندك K واحد تربية minus KG تربية في الفة this
+
+92
+00:09:03,710 --> 00:09:08,870
+couple must be appliedWhen the masses are placed
+
+93
+00:09:08,870 --> 00:09:11,290
+arbitrarily to make the system dynamically
+
+94
+00:09:11,290 --> 00:09:14,050
+equivalent لازم I have to apply this couple علشان
+
+95
+00:09:14,050 --> 00:09:17,090
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+96
+00:09:17,090 --> 00:09:17,710
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+97
+00:09:17,710 --> 00:09:18,950
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+98
+00:09:18,950 --> 00:09:22,510
+ال ال ال ال ال ال التالتالت
+
+99
+00:09:30,530 --> 00:09:36,410
+و ال KG تربيع اللي هي L1 L2 في Alpha يعني هتكون
+
+100
+00:09:36,410 --> 00:09:49,410
+ساوى لو أخدت M L1 في L3 minus L2 في Alpha نرجع
+
+101
+00:09:49,410 --> 00:09:50,010
+للشكل
+
+102
+00:10:00,380 --> 00:10:05,620
+عند ال ال تلاتة هي ال ال تلاتة وهي ال ال اتنين ال
+
+103
+00:10:05,620 --> 00:10:10,220
+ال تلاتة ناقص ال ال اتنين عبارة عن ال small ناقص
+
+104
+00:10:10,220 --> 00:10:13,240
+ال capital يعني هذه مثلا هتكون ال small يعني هتكون
+
+105
+00:10:13,240 --> 00:10:20,060
+M ال واحد هتكون
+
+106
+00:10:20,060 --> 00:10:32,020
+M ال واحد في ال small minus ال capitalالـ L small
+
+107
+00:10:32,020 --> 00:10:37,440
+هي الـ distance between two masses A and B placed
+
+108
+00:10:37,440 --> 00:10:42,320
+arbitrarily والـ L capital هي الـ distance between
+
+109
+00:10:42,320 --> 00:10:45,920
+two masses A and B placed such that A and B are
+
+110
+00:10:45,920 --> 00:10:51,060
+dynamically equivalent to the mass of درجة البطلية
+
+111
+00:10:55,120 --> 00:10:58,260
+طبعا ال ال capital اذا فاكرين في المحاضرة صحيح انا
+
+112
+00:10:58,260 --> 00:11:05,040
+ال ال capital بالساوية كيجي تربية زاد ال واحد
+
+113
+00:11:05,040 --> 00:11:12,700
+تربية على ال واحد ال ال capital بالساوية كيجي
+
+114
+00:11:12,700 --> 00:11:22,340
+تربية زاد ال واحد تربية على ال واحد طيب
+
+115
+00:11:22,340 --> 00:11:23,160
+انحل ال example
+
+116
+00:12:05,020 --> 00:12:08,640
+المركز السقل ببعد مسافة
+
+117
+00:12:10,770 --> 00:12:14,870
+ميت ملي يعني هذه مثلا من هنا لهاين ميت ملي من
+
+118
+00:12:14,870 --> 00:12:20,170
+الجادجون pen along the line of centers the rate of
+
+119
+00:12:20,170 --> 00:12:22,710
+gyration about an axis through center of gravity
+
+120
+00:12:22,710 --> 00:12:25,810
+perpendicular to plane of motion of rotation is
+
+121
+00:12:25,810 --> 00:12:31,690
+مية و عشرة الكاجي بيساوي
+
+122
+00:12:31,690 --> 00:12:34,330
+مية و عشرة millimeter
+
+123
+00:12:39,910 --> 00:12:44,270
+هنطلع على الـ Geometry طبعا هو انا عندي hand في
+
+124
+00:12:44,270 --> 00:12:47,110
+عندي hand ال radius لل pen hand خمسة و سبعين ملي
+
+125
+00:12:47,110 --> 00:12:54,670
+متر او القطر القطر لل pen hand مائة ملي مائة ملي
+
+126
+00:12:54,670 --> 00:12:57,910
+متر و المسافة بين ال center و ال center مائتين و
+
+127
+00:12:57,910 --> 00:13:04,090
+خمسين المسافة بين ال center و ال G اللي هي اللي هي
+
+128
+00:13:04,090 --> 00:13:07,870
+معطينيها مائتين و خمسين
+
+129
+00:13:11,660 --> 00:13:15,660
+دين كيلو ال .. المفروض أن أعطنيها دين كيلو ground
+
+130
+00:13:15,660 --> 00:13:18,260
+distance between the center of .. and the center
+
+131
+00:13:18,260 --> 00:13:24,720
+of .. اه the
+
+132
+00:13:24,720 --> 00:13:27,080
+distance between the center of Gajin pen and the
+
+133
+00:13:27,080 --> 00:13:29,140
+center of Dekang pen بتين و خمسين المسافة الكلية
+
+134
+00:13:29,140 --> 00:13:32,400
+the same falls at point ال .. اه أيوة هذه مائة ملي
+
+135
+00:13:32,400 --> 00:13:35,340
+هذه المسافة اللي هنا مائة ملي يعني هذه بتين و
+
+136
+00:13:35,340 --> 00:13:38,160
+خمسين و هذه مائة ملي طيب
+
+137
+00:13:42,060 --> 00:13:46,620
+Find equivalent dynamical system if only one of
+
+138
+00:13:46,620 --> 00:13:51,380
+the masses is located at a gadjon plane اذا حطيت
+
+139
+00:13:51,380 --> 00:13:55,660
+mass هنا هاي
+
+140
+00:13:55,660 --> 00:14:05,760
+M1 وmass هنا M2 يعني انا محتاج هاي عندى L2
+
+141
+00:14:10,520 --> 00:14:18,320
+و هاي ال واحد لأن ال واحد معطنيها ال واحد بالساوية
+
+142
+00:14:18,320 --> 00:14:24,020
+مائة ملي فور دنك كل ال system هيكون عنده ال واحد
+
+143
+00:14:24,020 --> 00:14:31,560
+ال اتنين بالساوية كج تربيع يعني ال اتنين هتساوية
+
+144
+00:14:31,560 --> 00:14:37,870
+مية و عشرة في مية و عشرة على ال واحد على ميةيعني
+
+145
+00:14:37,870 --> 00:14:43,010
+هتكون مية و واحد و عشرين معناته ال اتنين هتكون
+
+146
+00:14:43,010 --> 00:14:48,530
+احداش في احداش يعني انا عندي مية و عشرة في مية و
+
+147
+00:14:48,530 --> 00:14:55,230
+عشرة على مية سفر مع سفر احداش في احداش مية و واحد
+
+148
+00:14:55,230 --> 00:15:01,870
+و عشرين ملة يعني
+
+149
+00:15:01,870 --> 00:15:06,670
+ال اتنين مية و واحد و عشرين معناته M واحدهتكون
+
+150
+00:15:06,670 --> 00:15:15,010
+تساوي الاتنين في M على الواحد زاد الاتنين يعني
+
+151
+00:15:15,010 --> 00:15:20,050
+خدني أسميه ال capital سواء الواحد زاد الاتنين
+
+152
+00:15:20,050 --> 00:15:26,290
+هتساوي اللي هو الواحد مية زاد مية وواحد وعشرين
+
+153
+00:15:26,290 --> 00:15:33,210
+بسواء متين وواحد وعشرين مليمتر فانا بتقول M واحد
+
+154
+00:15:34,060 --> 00:15:38,680
+هتساوي ال الاتنين اللي هي مية و واحد و مية و واحد
+
+155
+00:15:38,680 --> 00:15:44,880
+و عشرين على ميتين و واحد و عشرين في الماس الكلية
+
+156
+00:15:44,880 --> 00:15:49,800
+اتنين هكون
+
+157
+00:15:49,800 --> 00:15:56,860
+دي مية و واحد و عشرين مية
+
+158
+00:15:56,860 --> 00:16:01,640
+و واحد و عشرين في اتنين تقسم
+
+159
+00:16:04,590 --> 00:16:12,390
+هتطلع ال M1 one point O تسعة خمسة kilogram معناته
+
+160
+00:16:12,390 --> 00:16:19,850
+ال M2 هتكون M minus M1 يعني اتنين ناقص واحد point
+
+161
+00:16:19,850 --> 00:16:26,870
+O تسعة خمسة تطلع
+
+162
+00:16:26,870 --> 00:16:30,110
+point تسعة تسعة مية و خمسة point تسعة و خمسة
+
+163
+00:16:30,110 --> 00:16:33,490
+kilogram هذا ال M2
+
+164
+00:16:41,520 --> 00:16:54,360
+طيب معناته a two mass system M1 قيمتها واحد point
+
+165
+00:16:54,360 --> 00:17:00,430
+zero تسعة خمسة kilogramأماس M2 كتلتها 0.905 كيلو
+
+166
+00:17:00,430 --> 00:17:06,550
+جرام ال M1 موجودة في الوسط على بعد 100 ملي و ال M2
+
+167
+00:17:06,550 --> 00:17:12,370
+على بعد أقل 2 ملي 121 ملي من الوسط بالجravity هذا
+
+168
+00:17:12,370 --> 00:17:15,010
+ال system of two masses is completely dynamically
+
+169
+00:17:15,010 --> 00:17:20,690
+equivalent to the disconnecting rod هذا المطلوب
+
+170
+00:17:20,690 --> 00:17:26,030
+الأول المطلوب
+
+171
+00:17:26,030 --> 00:17:30,570
+التانيإذا تم استخدام الـ connecting rod بكتلين إذا
+
+172
+00:17:30,570 --> 00:17:32,650
+تم استخدام الـ connecting rod بكتلين إذا تم
+
+173
+00:17:32,650 --> 00:17:37,310
+استخدام الـ connecting rod بكتلين إذا تم استخدام
+
+174
+00:17:37,310 --> 00:17:39,610
+الـ connecting rod بكتلين إذا تم استخدام الـ
+
+175
+00:17:39,610 --> 00:17:39,830
+connecting rod بكتلين إذا تم استخدام الـ
+
+176
+00:17:39,830 --> 00:17:40,090
+connecting rod بكتلين إذا تم استخدام الـ
+
+177
+00:17:40,090 --> 00:17:42,890
+connecting rod بكتلين إذا تم استخدام الـ
+
+178
+00:17:42,890 --> 00:17:42,930
+connecting rod بكتلين إذا تم استخدام الـ
+
+179
+00:17:42,930 --> 00:17:43,070
+connecting rod بكتلين إذا تم استخدام الـ
+
+180
+00:17:43,070 --> 00:17:43,630
+connecting rod بكتلين إذا تم استخدام الـ
+
+181
+00:17:43,630 --> 00:17:48,990
+connecting rod بكتلين إذا تم استخدام الـ
+
+182
+00:17:48,990 --> 00:17:53,110
+connecting
+
+183
+00:17:53,110 --> 00:17:55,330
+rod بكتلين
+
+184
+00:17:56,810 --> 00:17:59,430
+determine the correction couple applied to the
+
+185
+00:17:59,430 --> 00:18:02,810
+system to reduce it to a dynamically equivalent
+
+186
+00:18:02,810 --> 00:18:08,390
+system يعني بده T prime T prime
+
+187
+00:18:08,390 --> 00:18:11,890
+هو
+
+188
+00:18:11,890 --> 00:18:17,870
+بيحكي لي إذا أنا روحت بدل ما حطيت كتلة هنا كتلة
+
+189
+00:18:17,870 --> 00:18:23,480
+هنا لأ حطيت كتلة هنا mass هناو ماسين هو واحد عند
+
+190
+00:18:23,480 --> 00:18:30,060
+ال .. عند ال piston واحد عند ال crank طبعا في
+
+191
+00:18:30,060 --> 00:18:33,020
+الحالة هذه انا فرطت من غصب عنه حاطيت كتلة هنا عند
+
+192
+00:18:33,020 --> 00:18:38,240
+ال .. عند النقطة هذه معناته مش هيكون ال two mass
+
+193
+00:18:38,240 --> 00:18:41,980
+system equivalent هيكون هيتحقق الشرطين اللي هو M1
+
+194
+00:18:44,300 --> 00:18:58,570
+م1 زاد م3 بصوة M و M1L1 بصوة M3L3 هتحققهم واحد في
+
+195
+00:18:58,570 --> 00:19:04,210
+ال واحد تربيع زاد م تلاتة في ال تلاتة تربيع بتسويش
+
+196
+00:19:04,210 --> 00:19:09,530
+ال م كيجي تربيع معناته في ان انا باقوم باقوم باقوم
+
+197
+00:19:09,530 --> 00:19:10,690
+باقوم باقوم باقوم باقوم باقوم باقوم باقوم باقوم
+
+198
+00:19:10,690 --> 00:19:12,050
+باقوم باقوم باقوم باقوم باقوم باقوم باقوم باقوم
+
+199
+00:19:12,050 --> 00:19:12,510
+باقوم باقوم باقوم باقوم باقوم باقوم باقوم باقوم
+
+200
+00:19:12,510 --> 00:19:12,750
+باقوم باقوم باقوم باقوم باقوم باقوم باقوم باقوم
+
+201
+00:19:12,750 --> 00:19:15,950
+باقوم باقوم باقوم باقوم باقوم باقوم باقوم باقوم
+
+202
+00:19:15,950 --> 00:19:24,910
+باق
+
+203
+00:19:26,870 --> 00:19:41,530
+فى L واحد فى L small minus L capital فى Alpha احنا
+
+204
+00:19:41,530 --> 00:19:46,650
+already حكينا ال L capital بيستوى
+
+205
+00:19:46,650 --> 00:19:51,570
+من مطلوسة L واحد زي L اتنين اللى هو طالع مننا متين
+
+206
+00:19:51,570 --> 00:19:58,410
+واحد عشرين مليو ال ال small هي المسافة بين ال two
+
+207
+00:19:58,410 --> 00:20:05,510
+centers اللي هي مائتين و خمسين مليون يعني
+
+208
+00:20:05,510 --> 00:20:12,690
+ال T prime هتكون سواء ال M اللي هي ال M اتنين كيلو
+
+209
+00:20:12,690 --> 00:20:20,170
+في ال ال واحد اللي هو مية مية
+
+210
+00:20:22,220 --> 00:20:30,600
+طبعا هحاول الى متر هقسم على الف zero point one في
+
+211
+00:20:30,600 --> 00:20:36,600
+ال ال small اللي هو متين و خمسين point اتنين خمسة
+
+212
+00:20:36,600 --> 00:20:41,820
+minus ال capital point اتنين اتنين واحد في ال الف
+
+213
+00:20:41,820 --> 00:20:47,440
+تلاتة و عشرين الف نحسب
+
+214
+00:20:51,700 --> 00:21:00,080
+point two خمسة ناقص point اتنين اتنين واحد يساوي
+
+215
+00:21:00,080 --> 00:21:09,740
+في اتنين في point one في تلاتة و عشرين الف بطلع I
+
+216
+00:21:09,740 --> 00:21:13,680
+need a correction قبل قيمته مية و تلاتة و تلاتين
+
+217
+00:21:13,680 --> 00:21:15,620
+point four
+
+218
+00:21:18,850 --> 00:21:23,490
+النيوتن متر فال correction couple هتكون قيمته 133
+
+219
+00:21:23,490 --> 00:21:32,750
+.4 نيوتن متر طيب
+
+220
+00:21:32,750 --> 00:21:42,750
+احنا واقعيا في تصميم المحركات باستبدلش
+
+221
+00:21:43,510 --> 00:21:47,590
+الـ connecting rod بس تبدلش ال connecting rod بماس
+
+222
+00:21:47,590 --> 00:21:54,070
+هنا وماس هنا it does not make sense بس تبدلها بماس
+
+223
+00:21:54,070 --> 00:22:00,210
+هنا عند ال piston وماس عند الكرانك وماس عند
+
+224
+00:22:00,210 --> 00:22:04,310
+الكرانك يعني عندي هنا two mass system معناته ال
+
+225
+00:22:04,310 --> 00:22:09,250
+masses عند اللي عند ال piston وعند الكرانك they
+
+226
+00:22:09,250 --> 00:22:12,680
+are notin complete dynamic equivalent to the
+
+227
+00:22:12,680 --> 00:22:16,620
+original mass of the connecting rod ليش؟ انا عند
+
+228
+00:22:16,620 --> 00:22:19,160
+ال connecting rod بتحرك general plan motion اللي
+
+229
+00:22:19,160 --> 00:22:23,180
+في عنده translation و rotation فال forces النهجة
+
+230
+00:22:23,180 --> 00:22:28,280
+عنه انا بده احاول او ال inertia forces بده انقلها
+
+231
+00:22:28,280 --> 00:22:35,390
+للاطراف عند ال pistonوعند ال connecting rod عشان
+
+232
+00:22:35,390 --> 00:22:40,570
+هي انا عملت two mass system لهذا السبب بدي اخد ال
+
+233
+00:22:40,570 --> 00:22:43,710
+effect بتاع ال connecting rod اللي انا الاماكن
+
+234
+00:22:43,710 --> 00:22:48,140
+اللي بتهمني انا عند ال pistonوانا عند الكرانك فانا
+
+235
+00:22:48,140 --> 00:22:54,240
+هضطر احط mass عند ال .. استبدل ال mass تحت ال
+
+236
+00:22:54,240 --> 00:22:57,720
+connecting rod كأنه two masses كأنه mass at the
+
+237
+00:22:57,720 --> 00:23:02,160
+piston this pin و mass عند الكرانك هنا يعني mass
+
+238
+00:23:02,160 --> 00:23:09,540
+عند P و mass عند C طبعا
+
+239
+00:23:09,540 --> 00:23:17,670
+ال massالـ masses at P and C مركز تقالهم أكيد NG
+
+240
+00:23:17,670 --> 00:23:22,230
+والمجموعة ال masses عند P وC أكيد نفس ال mass
+
+241
+00:23:22,230 --> 00:23:28,170
+بتاعة الجي لكن ال amount of inertia ل ال two
+
+242
+00:23:28,170 --> 00:23:32,190
+masses عند P وC بيتسويش amount of inertia عند الجي
+
+243
+00:23:42,780 --> 00:23:50,020
+لأن ال inertia force due to the mass at C acts
+
+244
+00:23:50,020 --> 00:23:55,820
+radially outward، لأن عندي هنا الكرانك بتدور،
+
+245
+00:23:55,820 --> 00:24:01,900
+فتكون في قوة طرد مركزي لبرا، بتكون قوة طرد مركزي
+
+246
+00:24:02,850 --> 00:24:06,490
+لبره لان قوة الطرد المركزي لبره لان عندي mass هنا
+
+247
+00:24:06,490 --> 00:24:10,970
+و mass هنا قوة الطرد المركزي ال inertia force اللي
+
+248
+00:24:10,970 --> 00:24:17,890
+omega square بتعمل moment؟ مابتعمل moment معناته
+
+249
+00:24:17,890 --> 00:24:24,830
+ال mass and c has no effectعلى ال torque اللي على
+
+250
+00:24:24,830 --> 00:24:30,810
+الكرانك لأن هو بتأثر باتجاه المركز وبتقلفش الهدراء
+
+251
+00:24:30,810 --> 00:24:36,550
+فبتعملش moment على الكرانك معناته أول نتيجة وصلنا
+
+252
+00:24:36,550 --> 00:24:42,030
+لها انه ال mass احنا اتفقنا ان نحط ان نبدل الكتلة
+
+253
+00:24:42,030 --> 00:24:44,790
+الكليه ده ال connected rod بكتلة عند ال piston
+
+254
+00:24:45,120 --> 00:24:50,140
+الكتلة عند C يعني عند الكرانك الكتلة عند C او ال
+
+255
+00:24:50,140 --> 00:24:55,860
+inertia force due to the mass at C acts outward
+
+256
+00:24:55,860 --> 00:24:59,620
+باتجاه مركز الدوران وبتالي بتعملش moment وبتالي
+
+257
+00:24:59,620 --> 00:25:06,540
+مابتأثرش على ال torque مابتأثر على ال torque
+
+258
+00:25:06,540 --> 00:25:14,420
+لأن mass of connecting rod at Pبدي أسميها MP
+
+259
+00:25:14,420 --> 00:25:29,220
+بسميها MP هي
+
+260
+00:25:29,220 --> 00:25:34,980
+عند ال .. عند ال piston هتكون MP هتكون عند ال ..
+
+261
+00:25:34,980 --> 00:25:40,080
+ال .. ال MP هتكون MP
+
+262
+00:25:41,210 --> 00:25:45,270
+هتكون المسافة هذه على المسافة الكلية في ال mass
+
+263
+00:25:45,270 --> 00:25:48,910
+المسافة هذه تبقى عبارة عن L نقص L واحد يعني ال
+
+264
+00:25:48,910 --> 00:25:56,570
+mass at P دي سمي M at P هتكون
+
+265
+00:25:56,570 --> 00:26:01,790
+L minus L واحد على L في ال mass بتاعة ال
+
+266
+00:26:01,790 --> 00:26:06,570
+connecting rod الآن
+
+267
+00:26:06,570 --> 00:26:09,270
+in addition in addition عند ال piston
+
+268
+00:26:12,310 --> 00:26:18,510
+الـ piston له كتلة الـ piston له كتلة معناه ال
+
+269
+00:26:18,510 --> 00:26:22,190
+total mass الكلية الحقيقية هنا ليس فقط كتلة ال
+
+270
+00:26:22,190 --> 00:26:25,610
+piston وانما كتلة ال piston وجزء اللي أثره جاي من
+
+271
+00:26:25,610 --> 00:26:29,690
+ال connecting rod اللي هي M1 معناه ال total mass
+
+272
+00:26:29,690 --> 00:26:36,050
+at the piston هكون M total at the piston هتكون
+
+273
+00:26:36,050 --> 00:26:43,720
+اللي هي ال MRكتة ال piston و ملحقاته زاد L minus L
+
+274
+00:26:43,720 --> 00:26:52,360
+واحد على L في MC معناته ال inertia force عند ال
+
+275
+00:26:52,360 --> 00:26:57,320
+piston اتغيرت حسكون
+
+276
+00:26:57,320 --> 00:27:06,530
+عند ال Fi عند ال piston اللي هي ال MRزاد ال L-L1
+
+277
+00:27:06,530 --> 00:27:11,170
+على L في MC في ال acceleration بتاعة البسطون
+
+278
+00:27:11,170 --> 00:27:15,070
+والacceleration بتاعة البسطون اذا فاكرين ال AR
+
+279
+00:27:15,070 --> 00:27:21,830
+بالساوية Omega Square R في Cos Theta زاد Cos 2
+
+280
+00:27:21,830 --> 00:27:29,340
+Theta على Nمعناته ال inertia force هتكون ال mass
+
+281
+00:27:29,340 --> 00:27:32,500
+هدى في ال extension على ال piston يعني هتصفى ال FI
+
+282
+00:27:32,500 --> 00:27:35,600
+بالصوابع mr زي L minus L واحدة ل L فمس T في M
+
+283
+00:27:35,600 --> 00:27:50,380
+مجزرة R في Cos θ زي Cos 2θ على N ال
+
+284
+00:27:50,380 --> 00:27:55,580
+inertia force هدىالـ inertia force نرجع نرجع لورا
+
+285
+00:27:55,580 --> 00:27:59,840
+عشان نتذكر نرجع
+
+286
+00:27:59,840 --> 00:28:10,140
+ال force analysis نرجع ال force analysis احنا
+
+287
+00:28:10,140 --> 00:28:14,140
+حكينا ال torque due to the piston effort ال torque
+
+288
+00:28:14,140 --> 00:28:28,620
+بيساوي ف ال P في R في Sinثيتا زائد صين two theta
+
+289
+00:28:28,620 --> 00:28:33,920
+على اتنين N خلاني
+
+290
+00:28:33,920 --> 00:28:35,040
+اشوف نرجع بعدين
+
+291
+00:28:55,150 --> 00:29:01,410
+ماشي المعنى هو ال torque due to inertia force ال
+
+292
+00:29:01,410 --> 00:29:12,230
+torque due to inertia force هيكون ال fi في R يعني
+
+293
+00:29:12,230 --> 00:29:19,910
+انا عامل analogy في هنا sin θزاد sine two theta
+
+294
+00:29:19,910 --> 00:29:24,690
+على اتنين اللي هي يعني نفس هذه المعادلة هذه على
+
+295
+00:29:24,690 --> 00:29:28,710
+فكرة نفس ال term لأنه
+
+296
+00:29:28,710 --> 00:29:32,970
+انا عندي ال N square هتكون أكتر من sine square
+
+297
+00:29:32,970 --> 00:29:35,630
+فهتطلع هتطلع هتصفي برا في الآخر هذه هتصير على
+
+298
+00:29:35,630 --> 00:29:39,590
+اتنين N يعني هذه المعادلة نفس هذه المعادلة تقريبا
+
+299
+00:29:44,900 --> 00:29:47,260
+طبعا in deriving the above equation of the torque
+
+300
+00:29:47,260 --> 00:29:50,140
+exerted on the crankshaft is assumed that one of
+
+301
+00:29:50,140 --> 00:29:52,780
+the two masses is placed at C and the other at P
+
+302
+00:29:52,780 --> 00:29:57,880
+المعادلة السابقة المعادلة
+
+303
+00:29:57,880 --> 00:30:02,800
+السابقة اللي بتحكي ال torque due to the inertiadue
+
+304
+00:30:02,800 --> 00:30:06,460
+to the inertia of the masses عند ال piston اللي هي
+
+305
+00:30:06,460 --> 00:30:10,540
+جزء من ال mass ال mass بتاعة ال piston و ملحقاته و
+
+306
+00:30:10,540 --> 00:30:13,660
+ال mass اللي جاية due to the effect of the
+
+307
+00:30:13,660 --> 00:30:22,090
+crankshaft M1 هتكون Fi فيR sin θ زي sin θ على
+
+308
+00:30:22,090 --> 00:30:24,830
+اتنين جزء تربيه لان تربيه ناقص sin تربيه تتا نفس
+
+309
+00:30:24,830 --> 00:30:29,250
+المعادلة هذه ان الان تربيه بتكون اكبر بكتير من ال
+
+310
+00:30:29,250 --> 00:30:32,350
+sin تربيه عشان انك بيصير انك تطلع بيصير ان بيصير
+
+311
+00:30:32,350 --> 00:30:38,770
+sin تربيه تتا على ان نفس العلاقة هذه تقريبا
+
+312
+00:30:38,770 --> 00:30:41,950
+this assumption does not satisfy the condition for
+
+313
+00:30:41,950 --> 00:30:44,750
+kinematical equivalent system of a rigid body احنا
+
+314
+00:30:44,750 --> 00:30:52,100
+لما حطينا كتلةحطينا كتلة هين و كتلة هين صح ال some
+
+315
+00:30:52,100 --> 00:30:55,440
+of the two masses equal the mass of the connecting
+
+316
+00:30:55,440 --> 00:30:59,620
+rod و صح مركز ثقة لل two masses is the same as
+
+317
+00:30:59,620 --> 00:31:03,340
+مركز ثقة لل connecting rod لكن ال condition بتاع
+
+318
+00:31:03,340 --> 00:31:05,880
+الموت في نيرشه ماتحققش يعني الموت في نيرشه للماس
+
+319
+00:31:05,880 --> 00:31:12,320
+at P و الماس at C حوالين G بيسويش الموت في نيرشه
+
+320
+00:31:12,320 --> 00:31:13,980
+لجسم حوالين G
+
+321
+00:31:19,000 --> 00:31:26,600
+ال condition هذا ماتحققش to compensate for it عشان
+
+322
+00:31:26,600 --> 00:31:31,660
+أحل الإشكال a correction torque is necessary whose
+
+323
+00:31:31,660 --> 00:31:36,600
+value is given by ال
+
+324
+00:31:36,600 --> 00:31:41,300
+correction حكينا ال correction torque سابقا حكينا
+
+325
+00:31:41,300 --> 00:31:43,660
+T prime بالساوي
+
+326
+00:31:45,530 --> 00:31:49,430
+مس في الواحد في ال minus ال capital في ال alpha
+
+327
+00:31:49,430 --> 00:31:52,690
+بتاعة ال connecting rod وال ال capital اللي هي كجي
+
+328
+00:31:52,690 --> 00:31:55,950
+تربيه زاد ال واحد تربيه على ال واحد وال alpha بي
+
+329
+00:31:55,950 --> 00:31:58,210
+سي سابق ان احنا عارفين من ال minus omega square
+
+330
+00:31:58,210 --> 00:32:01,550
+sin theta على n ال alpha بتاعة ال connecting rod
+
+331
+00:32:01,550 --> 00:32:06,390
+هي minus omega square sin theta على n
+
+332
+00:32:13,740 --> 00:32:20,100
+بدأ احط correction couple ال correction couple
+
+333
+00:32:20,100 --> 00:32:27,340
+ممكن اعتبره كأنه ازدواج ازدواج مكوّن من two forces
+
+334
+00:32:27,340 --> 00:32:37,040
+one force at c one
+
+335
+00:32:37,040 --> 00:32:43,200
+force at c نسميها fy و another force
+
+336
+00:32:45,830 --> 00:32:54,710
+عند P F Y يعني هاي P وهاي
+
+337
+00:32:54,710 --> 00:33:00,670
+C واستعادت
+
+338
+00:33:00,670 --> 00:33:07,730
+عن استعادت عن ال correction couple ب torque ب two
+
+339
+00:33:07,730 --> 00:33:11,310
+forces F Y عكس بعض F Y هذ الأسفل و هذ الأعلى بيعني
+
+340
+00:33:11,310 --> 00:33:13,470
+هات ال T Prime هتساوي
+
+341
+00:33:17,580 --> 00:33:23,060
+الـ T Prime اللي هو الـ Correction Couple T Prime
+
+342
+00:33:23,060 --> 00:33:37,580
+بيستوى FY في PN PN المسافة هذه N FY
+
+343
+00:33:37,580 --> 00:33:41,800
+في PN ممكن
+
+344
+00:33:41,800 --> 00:33:42,660
+احكي انه FY
+
+345
+00:33:47,410 --> 00:33:54,430
+بيستوى T' على PN يعني انا في الآخر ال Turks هتتحول
+
+346
+00:33:54,430 --> 00:33:58,250
+ل forces تتحول ل forces one force here and another
+
+347
+00:33:58,250 --> 00:34:12,770
+force here يعني FY بيستوى T' على PN مانعته
+
+348
+00:34:12,770 --> 00:34:16,320
+ال correction coupleبيطالع ليه two forces one
+
+349
+00:34:16,320 --> 00:34:24,440
+force لتحت عند C و one force لعلى عند P و ال FY هي
+
+350
+00:34:24,440 --> 00:34:28,940
+هتكون سواء ال correction تقرر T prime على PN الان
+
+351
+00:34:28,940 --> 00:34:34,220
+عند C ال
+
+352
+00:34:34,220 --> 00:34:48,230
+FY عند C ال FY هذابتعمل moment هذه O هذه
+
+353
+00:34:48,230 --> 00:34:56,230
+N وهذه FY بتعمل moment او torque T عند C على
+
+354
+00:34:56,230 --> 00:35:02,570
+الكرانك بصوة FY في
+
+355
+00:35:02,570 --> 00:35:09,970
+N O احنا حكينا ال FY عبارة عن T Prime على P N يعني
+
+356
+00:35:09,970 --> 00:35:20,780
+N Oعلى P N و N O N
+
+357
+00:35:20,780 --> 00:35:23,600
+و على فكرة هذه الزاوية في الكتابة غلط هذه ثتا وهذه
+
+358
+00:35:23,600 --> 00:35:30,540
+صح هذه ثتا ال N O عبارة عن R Cos Theta ال N O
+
+359
+00:35:30,540 --> 00:35:37,680
+عبارة عن T Prime في
+
+360
+00:35:37,680 --> 00:35:39,700
+R Cos Theta
+
+361
+00:35:43,060 --> 00:35:51,600
+و ال PN عبارة عن L Cos Phi على L Cos Phi يعني
+
+362
+00:35:51,600 --> 00:36:04,900
+هيكون ال TC سوى T Prime في Cos Theta على N Cos Phi
+
+363
+00:36:05,850 --> 00:36:10,190
+و احنا سابقا جبنا علاقة بين between between
+
+364
+00:36:10,190 --> 00:36:12,950
+between between between between between between
+
+365
+00:36:12,950 --> 00:36:12,970
+between between between between between between
+
+366
+00:36:12,970 --> 00:36:15,010
+between between between between between between
+
+367
+00:36:15,010 --> 00:36:18,350
+between between between between between between
+
+368
+00:36:18,350 --> 00:36:21,550
+between between between
+
+369
+00:36:21,550 --> 00:36:21,570
+between between between between between between
+
+370
+00:36:21,570 --> 00:36:22,590
+between between between between between between
+
+371
+00:36:22,590 --> 00:36:23,330
+between between between between between between
+
+372
+00:36:23,330 --> 00:36:23,350
+between between between between between between
+
+373
+00:36:23,350 --> 00:36:30,250
+between between between
+
+374
+00:36:33,440 --> 00:36:40,440
+بساوة MC في الواحد في L minus L capital في Alpha
+
+375
+00:36:40,440 --> 00:36:46,440
+PC وAlpha ال connecting rod بساوة minus Omega
+
+376
+00:36:46,440 --> 00:36:55,400
+square sine theta على N بنعوض عن T prime وبعوض عن
+
+377
+00:36:55,400 --> 00:37:03,650
+Alpha PCبتصفى عند ال TC بتساوي minus MC في L واحد
+
+378
+00:37:03,650 --> 00:37:07,290
+في L small minus L capital في omega square sin two
+
+379
+00:37:07,290 --> 00:37:17,470
+theta على اتنين and تربيع طيب
+
+380
+00:37:17,470 --> 00:37:24,090
+الان نرجع تانى رجزوا كويس
+
+381
+00:37:27,060 --> 00:37:31,280
+احنا حكينا استبدلنا
+
+382
+00:37:31,280 --> 00:37:34,900
+ال connecting rod ب two masses one mass حطيناها
+
+383
+00:37:34,900 --> 00:37:40,280
+عند P we already take care of و one mass حطيناها
+
+384
+00:37:40,280 --> 00:37:51,400
+عند C ال mass عند C هسميها M3 ال mass عند C او
+
+385
+00:37:51,400 --> 00:37:52,400
+هسميها M2
+
+386
+00:37:55,200 --> 00:37:59,680
+بتساوي M بتاعة ال connecting rod في L واحد على L
+
+387
+00:37:59,680 --> 00:38:04,160
+الان
+
+388
+00:38:04,160 --> 00:38:11,840
+ال mass عند ال connecting rod هاي ال mass هتكون
+
+389
+00:38:11,840 --> 00:38:18,770
+لها وزن M اتنين G المعنى انت هتعمل torqueهتعمل ال
+
+390
+00:38:18,770 --> 00:38:28,290
+torque M2G في المسافة في NO ال torque due to
+
+391
+00:38:28,290 --> 00:38:33,790
+..معناته ال T due to ال weight تاع ال mass عند C
+
+392
+00:38:33,790 --> 00:38:43,970
+هتكون minus M2G في ال NO هتكون minus M2G ال NO
+
+393
+00:38:43,970 --> 00:38:52,430
+عبارة عن R cosineR Cos Theta R Cos Theta و M2
+
+394
+00:38:52,430 --> 00:39:02,150
+عبارة عن Minus MC L1 على L في G في R Cos Theta
+
+395
+00:39:02,150 --> 00:39:11,190
+يعني هكون Minus MC L1 G في Cos Theta على N
+
+396
+00:39:18,470 --> 00:39:21,150
+الـ total torque exerted in the torque due to
+
+397
+00:39:21,150 --> 00:39:24,890
+inertia to the inertia of the moving parts هيكون
+
+398
+00:39:24,890 --> 00:39:33,730
+ti total torque هيكون
+
+399
+00:39:33,730 --> 00:39:38,630
+واحد due to inertia زاد واحد due to correction
+
+400
+00:39:38,630 --> 00:39:45,810
+ناتج عن fy tc زاد واحد ناتج عن الmass عند c
+
+401
+00:39:49,160 --> 00:39:50,960
+معناته خلينا نجمل، نرجع
+
+402
+00:40:08,820 --> 00:40:11,880
+الـ Connecting Rod أنا استبدلت بكتلة تانية كتلة عن
+
+403
+00:40:11,880 --> 00:40:18,580
+P و كتلة عن C الكتلة عن P و كتلة عن C ليست كتلة
+
+404
+00:40:18,580 --> 00:40:20,900
+كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة
+
+405
+00:40:20,900 --> 00:40:24,300
+كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة
+
+406
+00:40:24,300 --> 00:40:24,760
+كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة
+
+407
+00:40:24,760 --> 00:40:33,060
+كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة
+
+408
+00:40:35,580 --> 00:40:42,900
+اللي هي هتكون MCL1L-L كابيتال في Alpha PC الآن ال
+
+409
+00:40:42,900 --> 00:40:47,620
+correction torque هستبدل two forces force fy هنا و
+
+410
+00:40:47,620 --> 00:40:52,980
+fy كابيتال يعني هكون fy في المسافة هذه في PN
+
+411
+00:40:52,980 --> 00:40:58,960
+هتعطيني اللي هو ال torque T prime تي برايم الان
+
+412
+00:40:58,960 --> 00:41:07,260
+على ال crank ال fy تعمل torqueالو fy في no تي سي
+
+413
+00:41:07,260 --> 00:41:13,200
+تي سي جاية من correction torque او
+
+414
+00:41:13,200 --> 00:41:17,760
+في torque due to inertia forces
+
+415
+00:41:18,780 --> 00:41:24,660
+التي بتساوي FI في R واحد Sine Theta Sine Two Theta
+
+416
+00:41:24,660 --> 00:41:27,220
+زاد على اتنين جزير الان تربية minus Sine تربية
+
+417
+00:41:27,220 --> 00:41:34,120
+Theta وال FI اللي هي MR زاد L مانقس L واحد على L
+
+418
+00:41:34,120 --> 00:41:35,080
+في MC فL مانقس L واحد على L في MC فL مانقس L واحد
+
+419
+00:41:35,080 --> 00:41:36,420
+على L في MC فL مانقس R في Cosine Theta زاد Cosine
+
+420
+00:41:36,420 --> 00:41:41,600
+Theta على N وفي ال mass اللي حاططها عند C اللي هي
+
+421
+00:41:41,600 --> 00:41:47,000
+بتساوي L واحد على L في في ال mass الكلية بتعمل
+
+422
+00:41:47,000 --> 00:41:51,940
+برضهTorque قيمته W اله minus MC في G في L واحدة ل
+
+423
+00:41:51,940 --> 00:41:55,500
+N Cos Theta منعته ال total torque اللي هو اللي هو
+
+424
+00:41:55,500 --> 00:41:58,640
+مكون تالتة أجزاء ال torque due to inertia force
+
+425
+00:41:58,640 --> 00:42:01,980
+يعني ال torque due to correction couple هو ال
+
+426
+00:42:01,980 --> 00:42:06,340
+torque التالتة due to ال weight عند الماس ال M2
+
+427
+00:42:06,340 --> 00:42:15,700
+عند النقطة C طيب
+
+428
+00:42:23,330 --> 00:42:27,630
+انحل ال example هنحل
+
+429
+00:42:27,630 --> 00:42:40,930
+ال example بعدين ننهي the
+
+430
+00:42:40,930 --> 00:42:44,290
+following data refer to a steam engine معطيني ال
+
+431
+00:42:44,290 --> 00:42:49,170
+diameter لل pistol دي capital بس هو متين و أربعين
+
+432
+00:42:49,170 --> 00:42:57,940
+ملي مترالـ stroke الـ S مقعدين على ستمية ملي متر
+
+433
+00:42:57,940 --> 00:43:04,120
+بعدين ال length of connecting rod القلب واحد و نص
+
+434
+00:43:04,120 --> 00:43:08,640
+متر mass
+
+435
+00:43:08,640 --> 00:43:15,380
+of reciprocating parts MR بتساوي تلتمية كيلو جرام
+
+436
+00:43:17,450 --> 00:43:23,930
+massive connecting rod MC بتساوي متين و خمسين
+
+437
+00:43:23,930 --> 00:43:33,030
+kilogram ال speed ال N معطنية مية و خمسة و عشرين
+
+438
+00:43:33,030 --> 00:43:40,870
+rpm ال center of connecting rod from a crank pin
+
+439
+00:43:40,870 --> 00:43:43,870
+from crank pin بتساوي خمس مية
+
+440
+00:43:47,540 --> 00:43:53,340
+التلاتة بالسواء خمسمية مليمتر
+
+441
+00:43:53,340 --> 00:43:58,640
+الراديوس الجيراتيشن of the connecting rod about an
+
+442
+00:43:58,640 --> 00:44:00,620
+axis through its gravity بالسواء ستمية و خمسين
+
+443
+00:44:00,620 --> 00:44:07,140
+مليمتر ال KG بالسواء
+
+444
+00:44:07,140 --> 00:44:11,240
+ستمية و خمسين مليمتر
+
+445
+00:44:15,580 --> 00:44:17,720
+Determine the magnitude and direction of torque
+
+446
+00:44:17,720 --> 00:44:19,800
+exerted on the crankshaft when the crank has
+
+447
+00:44:19,800 --> 00:44:23,580
+turned through 10 degrees from inner dead center
+
+448
+00:44:23,580 --> 00:44:31,860
+توجد ايش؟ الـ total torque هذا
+
+449
+00:44:31,860 --> 00:44:33,500
+صحيح المباشر يعني انا شايفه
+
+450
+00:44:38,130 --> 00:44:40,810
+طيب the total magnitude and direction of torque
+
+451
+00:44:40,810 --> 00:44:42,950
+exerted on the crankshaft when the crankshaft has
+
+452
+00:44:42,950 --> 00:44:45,510
+turned through 30 degrees from inner dead center
+
+453
+00:44:45,510 --> 00:44:54,250
+طيب هحكي هنا ال total torque هكون T inertia زاد ال
+
+454
+00:44:54,250 --> 00:45:03,730
+TC زاد ال TW طيب
+
+455
+00:45:03,730 --> 00:45:07,050
+ناخد واحد واحد
+
+456
+00:45:13,090 --> 00:45:19,010
+الـ T I ال
+
+457
+00:45:19,010 --> 00:45:31,250
+T I بيستوى ال F I في R في SIN ثيتا زاد SIN two
+
+458
+00:45:31,250 --> 00:45:37,390
+theta على اتنين N طيب
+
+459
+00:45:37,390 --> 00:45:40,590
+ال
+
+460
+00:45:40,590 --> 00:45:41,250
+F I
+
+461
+00:45:46,030 --> 00:45:51,730
+بتساوى MR زائد
+
+462
+00:45:51,730 --> 00:46:01,450
+L minus L واحد على L في MC في
+
+463
+00:46:01,450 --> 00:46:09,650
+Omega Square R في Cos Theta زائد Cos Two Theta على
+
+464
+00:46:09,650 --> 00:46:10,250
+N
+
+465
+00:46:15,060 --> 00:46:20,840
+وهو معطيني ال ال ال
+
+466
+00:46:20,840 --> 00:46:25,040
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+467
+00:46:25,040 --> 00:46:27,240
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+468
+00:46:27,240 --> 00:46:31,160
+ال ال ال ال ال ال ال ال
+
+469
+00:46:31,160 --> 00:46:36,680
+ال ال ال ال ال ال ال ال ال ال
+
+470
+00:46:36,680 --> 00:46:43,160
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+471
+00:46:43,160 --> 00:46:43,200
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+472
+00:46:43,200 --> 00:46:48,030
+ال ال ال ال ال ال ال ال ال الهتكون مية و خمسة و
+
+473
+00:46:48,030 --> 00:46:52,290
+عشرين اتنين باي على ستين
+
+474
+00:47:13,310 --> 00:47:19,970
+ثيتا تلاتين درجة ثيتا تلاتين درجة ثيتا تلاتين درجة
+
+475
+00:47:19,970 --> 00:47:19,990
+ثيتا تلاتين درجة ثيتا تلاتين درجة ثيتا تلاتين درجة
+
+476
+00:47:19,990 --> 00:47:24,550
+ثيتا
+
+477
+00:47:24,550 --> 00:47:29,090
+تلاتين درجة ثيتا تلاتين درجة ثيتا تلاتين درجة ثيتا
+
+478
+00:47:29,090 --> 00:47:29,470
+تلاتين درجة ثيتا تلاتين درجة ثيتا تلاتين درجة ثيتا
+
+479
+00:47:29,470 --> 00:47:37,470
+تلاتين درجة ثيتا تلاتين درجة ثيتا تلاتين درجة ثيتا
+
+480
+00:47:37,470 --> 00:47:48,010
+تلاتين درجة ثيتا تعلى الف و خمسمية في ال mc بتاعة
+
+481
+00:47:48,010 --> 00:47:55,530
+ال connecting rod في متين و خمسين في
+
+482
+00:47:55,530 --> 00:47:57,930
+omega نحسبها مية و خمس و عشرين
+
+483
+00:48:14,530 --> 00:48:24,210
+تلتاش point او تمانية radian per second في تلتاش
+
+484
+00:48:24,210 --> 00:48:30,170
+point او تمانية تربية في ال crank انا عندي ال
+
+485
+00:48:30,170 --> 00:48:34,870
+stroke اللي ال R هتكون S على اتنين هتكون تلت ميت
+
+486
+00:48:34,870 --> 00:48:38,210
+ملي هتكون
+
+487
+00:48:38,210 --> 00:48:39,150
+تلت ميت ملي
+
+488
+00:48:42,770 --> 00:48:50,190
+في تلاتة من عشرة يعني هحكي في تلاتة من عشرة في
+
+489
+00:48:50,190 --> 00:48:59,470
+cosine التلاتين زائد cosine الستين على اتنين في ان
+
+490
+00:48:59,470 --> 00:49:06,710
+ان ان شو الساوية ان بالساوية ال على ار اللي عندك
+
+491
+00:49:06,710 --> 00:49:11,430
+الف خمسمية والار تلاتمية يعني خمسة
+
+492
+00:49:22,460 --> 00:49:32,540
+طيب و منها بحسب ال FI جرد ماحس ال FI بحسب ال TI FI
+
+493
+00:49:32,540 --> 00:49:36,120
+عندي ال R ال FI صارت معروفة ال R عندي تلتمية و
+
+494
+00:49:36,120 --> 00:49:43,940
+الثالثة تلتين بحسب ايش ال TI طيب
+
+495
+00:49:43,940 --> 00:49:47,480
+اللي
+
+496
+00:49:47,480 --> 00:49:50,600
+عن ال TC نيجي لل TC
+
+497
+00:49:54,750 --> 00:50:05,270
+الـ TC الـ
+
+498
+00:50:05,270 --> 00:50:16,970
+TC بتساوي minus MC في L واحد في L minus L capital
+
+499
+00:50:16,970 --> 00:50:21,510
+omega square sine two theta
+
+500
+00:50:24,320 --> 00:50:30,560
+على اتنين ان تربية ال MC معروفة ال L واحد معروفة
+
+501
+00:50:30,560 --> 00:50:34,940
+وال L كبير معروفة وال L small اه ال L كابيتال اللي
+
+502
+00:50:34,940 --> 00:50:41,080
+هنحسبه هو ال L كابيتال ال L كابيتل بالساوي KG
+
+503
+00:50:41,080 --> 00:50:48,620
+تربية زاد L واحد تربية على L واحد KG اللي هي اكم
+
+504
+00:50:48,620 --> 00:50:59,930
+ستمية و خمسين تربيةزاد L واحد اللي هي أظن ألف زاد
+
+505
+00:50:59,930 --> 00:51:10,410
+ألف تربية على ألف وبينها بحسب ال L capital و بعدين
+
+506
+00:51:10,410 --> 00:51:13,490
+بحسب ال TC لأن صار عند ال MC و L واحد و L capital
+
+507
+00:51:13,490 --> 00:51:21,950
+كله بحسب بحسب ال TC ال term التالت اللي هو TW TW
+
+508
+00:51:27,740 --> 00:51:33,400
+بتسوق minus MC G
+
+509
+00:51:33,400 --> 00:51:44,480
+في L واحد على N Cos Theta بعدين برجع احكي ال total
+
+510
+00:51:44,480 --> 00:51:55,540
+torque T بسوق T واحد T I زاد T C زاد
+
+511
+00:51:57,030 --> 00:52:02,950
+TW هيك بيكون هنا ال chapter ال inertia forces
+
+512
+00:52:02,950 --> 00:52:03,690
+calculation
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/h4PgVc3MRLU_raw.json b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/h4PgVc3MRLU_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..6b0874be120059f830728ab16d7ce3d1c1250eca
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/h4PgVc3MRLU_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2985, "start": 4.99, "end": 29.85, "text": "بسم الله الرحمن الرحيم السلام عليكم ورحمة الله وبركاته طبعا هنكمل هذه المحاضرة الرابعة في الشابتر اللي هو inertia forces of reciprocating parts في المحاضرات السابقة عملنا اللي هو kinematic analysis حسبنا ال displacement velocity acceleration of the piston of the slider crank mechanism حسبنا ال anger velocity و ال anger acceleration لل connecting rod بعدين عملنا force analysis", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21136, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224, 23032, 3555, 3615, 995, 8032, 1863, 24793, 1211, 29538, 9673, 5016, 46958, 25720, 34892, 16758, 27884, 8978, 25124, 16758, 2655, 2288, 13672, 1829, 31439, 37234, 5874, 295, 28961, 66, 990, 3166, 8978, 9673, 5016, 46958, 2288, 9307, 21136, 16758, 28671, 6225, 42213, 8315, 13672, 1829, 31439, 15784, 14911, 5215, 11331, 35457, 8315, 2423, 21899, 9269, 17162, 295, 264, 30002, 295, 264, 26046, 21263, 7513, 11331, 35457, 8315, 2423, 10240, 9269, 4032, 2423, 10240, 17162, 24976, 11015, 8685, 39182, 9957, 6225, 42213, 8315, 3464, 5215], "avg_logprob": -0.1714409691868005, "compression_ratio": 1.8714285714285714, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 4.99, "end": 5.53, "word": "بسم", "probability": 0.871337890625}, {"start": 5.53, "end": 5.75, "word": " الله", "probability": 0.9609375}, {"start": 5.75, "end": 6.17, "word": " الرحمن", "probability": 0.9664713541666666}, {"start": 6.17, "end": 6.55, "word": " الرحيم", "probability": 0.994140625}, {"start": 6.55, "end": 6.93, "word": " السلام", "probability": 0.89599609375}, {"start": 6.93, "end": 7.33, "word": " عليكم", "probability": 0.939453125}, {"start": 7.33, "end": 7.57, "word": " ورحمة", "probability": 0.84881591796875}, {"start": 7.57, "end": 7.77, "word": " الله", "probability": 0.97021484375}, {"start": 7.77, "end": 8.37, "word": " وبركاته", "probability": 0.989453125}, {"start": 8.37, "end": 8.71, "word": " طبعا", "probability": 0.957275390625}, {"start": 8.71, "end": 9.15, "word": " هنكمل", "probability": 0.9407958984375}, {"start": 9.15, "end": 9.35, "word": " هذه", "probability": 0.92138671875}, {"start": 9.35, "end": 9.87, "word": " المحاضرة", "probability": 0.9736328125}, {"start": 9.87, "end": 10.37, "word": " الرابعة", "probability": 0.916015625}, {"start": 10.37, "end": 10.67, "word": " في", "probability": 0.88623046875}, {"start": 10.67, "end": 11.21, "word": " الشابتر", "probability": 0.61920166015625}, {"start": 11.21, "end": 11.87, "word": " اللي", "probability": 0.64697265625}, {"start": 11.87, "end": 11.97, "word": " هو", "probability": 0.87255859375}, {"start": 11.97, "end": 12.33, "word": " inertia", "probability": 0.57275390625}, {"start": 12.33, "end": 12.81, "word": " forces", "probability": 0.84423828125}, {"start": 12.81, "end": 13.05, "word": " of", "probability": 0.270263671875}, {"start": 13.05, "end": 13.75, "word": " reciprocating", "probability": 0.8981119791666666}, {"start": 13.75, "end": 14.29, "word": " parts", "probability": 0.8642578125}, {"start": 14.29, "end": 14.87, "word": " في", "probability": 0.85498046875}, {"start": 14.87, "end": 15.43, "word": " المحاضرات", "probability": 0.98681640625}, {"start": 15.43, "end": 16.05, "word": " السابقة", "probability": 0.98681640625}, {"start": 16.05, "end": 16.53, "word": " عملنا", "probability": 0.9820963541666666}, {"start": 16.53, "end": 16.71, "word": " اللي", "probability": 0.80419921875}, {"start": 16.71, "end": 16.99, "word": " هو", "probability": 0.904296875}, {"start": 16.99, "end": 17.63, "word": " kinematic", "probability": 0.867919921875}, {"start": 17.63, "end": 18.29, "word": " analysis", "probability": 0.8408203125}, {"start": 18.29, "end": 19.25, "word": " حسبنا", "probability": 0.9539388020833334}, {"start": 19.25, "end": 19.37, "word": " ال", "probability": 0.5712890625}, {"start": 19.37, "end": 20.39, "word": " displacement", "probability": 0.8486328125}, {"start": 20.39, "end": 20.89, "word": " velocity", "probability": 0.453369140625}, {"start": 20.89, "end": 21.59, "word": " acceleration", "probability": 0.86572265625}, {"start": 21.59, "end": 21.97, "word": " of", "probability": 0.966796875}, {"start": 21.97, "end": 22.17, "word": " the", "probability": 0.8896484375}, {"start": 22.17, "end": 22.61, "word": " piston", "probability": 0.8525390625}, {"start": 22.61, "end": 22.85, "word": " of", "probability": 0.9638671875}, {"start": 22.85, "end": 22.99, "word": " the", "probability": 0.861328125}, {"start": 22.99, "end": 23.23, "word": " slider", "probability": 0.53369140625}, {"start": 23.23, "end": 23.61, "word": " crank", "probability": 0.8837890625}, {"start": 23.61, "end": 24.15, "word": " mechanism", "probability": 0.473876953125}, {"start": 24.15, "end": 24.57, "word": " حسبنا", "probability": 0.9596354166666666}, {"start": 24.57, "end": 24.69, "word": " ال", "probability": 0.64306640625}, {"start": 24.69, "end": 24.85, "word": " anger", "probability": 0.52978515625}, {"start": 24.85, "end": 25.15, "word": " velocity", "probability": 0.69970703125}, {"start": 25.15, "end": 25.27, "word": " و", "probability": 0.8203125}, {"start": 25.27, "end": 25.31, "word": " ال", "probability": 0.5302734375}, {"start": 25.31, "end": 25.41, "word": " anger", "probability": 0.79443359375}, {"start": 25.41, "end": 25.95, "word": " acceleration", "probability": 0.91455078125}, {"start": 25.95, "end": 26.21, "word": " لل", "probability": 0.6337890625}, {"start": 26.21, "end": 26.69, "word": " connecting", "probability": 0.55126953125}, {"start": 26.69, "end": 27.21, "word": " rod", "probability": 0.96240234375}, {"start": 27.21, "end": 28.47, "word": " بعدين", "probability": 0.792724609375}, {"start": 28.47, "end": 28.77, "word": " عملنا", "probability": 0.9951171875}, {"start": 28.77, "end": 29.21, "word": " force", "probability": 0.97509765625}, {"start": 29.21, "end": 29.85, "word": " analysis", "probability": 0.8251953125}], "temperature": 1.0}, {"id": 2, "seek": 4947, "start": 31.01, "end": 49.47, "text": "حسب ال force acting along the connecting rod ال force that is transferred to the crank عملنا لها تحللناها لمركبتها المركبة في اتجاه ال crank و المركبة العموديه في اتجاه ال crank المركبة العموديه في اتجاه ال crank هي بتعمل ال torque بتخلي ال crank تدور", "tokens": [5016, 35457, 2423, 3464, 6577, 2051, 264, 11015, 8685, 2423, 3464, 300, 307, 15809, 281, 264, 21263, 6225, 42213, 8315, 5296, 11296, 6055, 5016, 1211, 1211, 8315, 11296, 32767, 31747, 3555, 2655, 11296, 9673, 31747, 49401, 8978, 1975, 2655, 7435, 40294, 2423, 21263, 4032, 9673, 31747, 49401, 18863, 2304, 2407, 16254, 3224, 8978, 1975, 2655, 7435, 40294, 2423, 21263, 9673, 31747, 49401, 18863, 2304, 2407, 16254, 3224, 8978, 1975, 2655, 7435, 40294, 2423, 21263, 39896, 39894, 25957, 1211, 2423, 16437, 39894, 9778, 20292, 2423, 21263, 6055, 3215, 13063], "avg_logprob": -0.15502106875516056, "compression_ratio": 2.085227272727273, 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rigid", "probability": 0.94482421875}, {"start": 86.86, "end": 87.18, "word": " body", "probability": 0.84228515625}, {"start": 87.18, "end": 89.06, "word": " اليوم", "probability": 0.941650390625}, {"start": 89.06, "end": 89.8, "word": " هنكمل", "probability": 0.9764404296875}, {"start": 89.8, "end": 93.44, "word": " يعني", "probability": 0.827880859375}, {"start": 93.44, "end": 93.8, "word": " بس", "probability": 0.92431640625}, {"start": 93.8, "end": 95.24, "word": " عشان", "probability": 0.7967936197916666}, {"start": 95.24, "end": 95.58, "word": " مايصيش", "probability": 0.7455078125}, {"start": 95.58, "end": 96.08, "word": " خربطة", "probability": 0.979736328125}, {"start": 96.08, "end": 96.28, "word": " قبل", "probability": 0.962158203125}, {"start": 96.28, "end": 96.38, "word": " ما", "probability": 0.92236328125}, {"start": 96.38, "end": 96.72, "word": " أقرأ", "probability": 0.8890380859375}, {"start": 96.72, "end": 97.84, "word": " العنوان", "probability": 0.88720703125}, {"start": 97.84, "end": 98.66, "word": " نحكي", "probability": 0.850341796875}, {"start": 98.66, "end": 99.08, "word": " بعدين", "probability": 0.72412109375}, {"start": 99.08, "end": 99.6, "word": " نفهم", "probability": 0.9288736979166666}, {"start": 99.6, "end": 99.76, "word": " مش", "probability": 0.388671875}, {"start": 99.76, "end": 100.24, "word": " العنوان", "probability": 0.9722900390625}, {"start": 100.24, "end": 101.34, "word": " طيب", "probability": 0.9052734375}], "temperature": 1.0}, {"id": 5, "seek": 13034, "start": 106.36, "end": 130.34, "text": "when two masses are placed arbitrarily then the following conditions will only be satisfied اذا حطيت انا عندي هي higher rigid body هي البركز تقعله حطيت mass M1 وحطيت mass هنا M2", "tokens": [18822, 732, 23935, 366, 7074, 19071, 3289, 550, 264, 3480, 4487, 486, 787, 312, 11239, 1975, 15730, 11331, 9566, 36081, 1975, 8315, 18871, 16254, 39896, 2946, 22195, 1772, 39896, 2423, 26890, 4117, 11622, 6055, 4587, 3615, 43761, 11331, 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0.88037109375}, {"start": 111.24, "end": 111.62, "word": " will", "probability": 0.90771484375}, {"start": 111.62, "end": 112.22, "word": " only", "probability": 0.88232421875}, {"start": 112.22, "end": 112.52, "word": " be", "probability": 0.9501953125}, {"start": 112.52, "end": 113.1, "word": " satisfied", "probability": 0.81494140625}, {"start": 113.1, "end": 113.28, "word": " اذا", "probability": 0.666259765625}, {"start": 113.28, "end": 113.86, "word": " حطيت", "probability": 0.9674479166666666}, {"start": 113.86, "end": 114.1, "word": " انا", "probability": 0.760986328125}, {"start": 114.1, "end": 114.36, "word": " عندي", "probability": 0.78271484375}, {"start": 114.36, "end": 114.6, "word": " هي", "probability": 0.2666015625}, {"start": 114.6, "end": 115.2, "word": " higher", "probability": 0.310791015625}, {"start": 115.2, "end": 115.44, "word": " rigid", "probability": 0.9736328125}, {"start": 115.44, "end": 116.14, "word": " body", "probability": 0.87109375}, {"start": 116.14, "end": 121.02, "word": " هي", "probability": 0.12060546875}, {"start": 121.02, "end": 121.42, "word": " البركز", "probability": 0.62567138671875}, {"start": 121.42, "end": 121.94, "word": " تقعله", "probability": 0.57391357421875}, {"start": 121.94, "end": 123.8, "word": " حطيت", "probability": 0.9005533854166666}, {"start": 123.8, "end": 125.4, "word": " mass", "probability": 0.7421875}, {"start": 125.4, "end": 126.2, "word": " M1", "probability": 0.760986328125}, {"start": 126.2, "end": 127.46, "word": " وحطيت", "probability": 0.8736572265625}, {"start": 127.46, "end": 127.78, "word": " mass", "probability": 0.6337890625}, {"start": 127.78, "end": 128.14, "word": " هنا", "probability": 0.30859375}, {"start": 128.14, "end": 130.34, "word": " M2", "probability": 0.97314453125}], "temperature": 1.0}, {"id": 6, "seek": 13638, "start": 130.91, "end": 136.39, "text": "بشكل عشوائي حطيت M1 و M2 بحيث ان M1 و M2 بالساوية", "tokens": [3555, 8592, 28820, 6225, 8592, 2407, 16373, 1829, 11331, 9566, 36081, 376, 16, 4032, 376, 17, 4724, 5016, 1829, 12984, 16472, 376, 16, 4032, 376, 17, 20666, 3794, 995, 2407, 10632], "avg_logprob": -0.2192382742650807, "compression_ratio": 1.0972222222222223, "no_speech_prob": 0.0, "words": [{"start": 130.91, "end": 131.43, "word": "بشكل", "probability": 0.9212239583333334}, {"start": 131.43, "end": 131.97, "word": " عشوائي", "probability": 0.9724609375}, {"start": 131.97, "end": 132.63, "word": " حطيت", "probability": 0.6670735677083334}, {"start": 132.63, "end": 132.95, "word": " M1", "probability": 0.76513671875}, {"start": 132.95, "end": 133.05, "word": " و", "probability": 0.322265625}, {"start": 133.05, "end": 133.55, "word": " M2", "probability": 0.945068359375}, {"start": 133.55, "end": 134.63, "word": " بحيث", "probability": 0.96533203125}, {"start": 134.63, "end": 134.75, "word": " ان", "probability": 0.74365234375}, {"start": 134.75, "end": 135.19, "word": " M1", "probability": 0.9599609375}, {"start": 135.19, "end": 135.31, 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center", "probability": 0.876953125}, {"start": 156.04, "end": 156.18, "word": " of", "probability": 0.9560546875}, {"start": 156.18, "end": 156.6, "word": " gravity", "probability": 0.9443359375}, {"start": 156.6, "end": 157.32, "word": " لل", "probability": 0.87548828125}, {"start": 157.32, "end": 157.94, "word": " total", "probability": 0.9130859375}, {"start": 157.94, "end": 158.48, "word": " mass", "probability": 0.82568359375}, {"start": 158.48, "end": 159.0, "word": " لكن", "probability": 0.92529296875}, {"start": 159.0, "end": 159.22, "word": " في", "probability": 0.90625}, {"start": 159.22, "end": 159.56, "word": " شرط", "probability": 0.93603515625}, {"start": 159.56, "end": 160.44, "word": " مااتحققش", "probability": 0.8631184895833334}, {"start": 160.44, "end": 160.74, "word": " اللي", "probability": 0.915283203125}, {"start": 160.74, "end": 161.04, "word": " هو", "probability": 0.994140625}, {"start": 161.04, "end": 161.78, "word": " ال", "probability": 0.953125}, 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"word": " تقل", "probability": 0.7667643229166666}, {"start": 186.27, "end": 188.37, "word": " جي", "probability": 0.67724609375}, {"start": 188.37, "end": 191.61, "word": " حزب", "probability": 0.546875}, {"start": 191.61, "end": 191.81, "word": " مركز", "probability": 0.8610026041666666}, {"start": 191.81, "end": 192.27, "word": " تقل", "probability": 0.9729817708333334}, {"start": 192.27, "end": 192.89, "word": " جي", "probability": 0.89404296875}], "temperature": 1.0}, {"id": 9, "seek": 22455, "start": 197.33, "end": 224.55, "text": "I have one mass هنا at A كتلتها M واحد وبتبعد عن G مسافة L واحد حطيت", "tokens": [40, 362, 472, 2758, 34105, 412, 316, 9122, 2655, 1211, 2655, 11296, 376, 36764, 24401, 46599, 2655, 3555, 22488, 18871, 460, 47524, 31845, 3660, 441, 36764, 24401, 11331, 9566, 36081], "avg_logprob": -0.24558971966466597, "compression_ratio": 1.0515463917525774, "no_speech_prob": 0.0, "words": [{"start": 197.33, "end": 197.55, "word": "I", "probability": 0.73583984375}, {"start": 197.55, "end": 197.83, "word": " have", "probability": 0.95654296875}, {"start": 197.83, "end": 198.11, "word": " one", "probability": 0.93701171875}, {"start": 198.11, "end": 198.63, "word": " mass", "probability": 0.70849609375}, {"start": 198.63, "end": 200.53, "word": " هنا", "probability": 0.345947265625}, {"start": 200.53, "end": 203.99, "word": " at", "probability": 0.487060546875}, {"start": 203.99, "end": 204.55, "word": " A", "probability": 0.53466796875}, {"start": 204.55, "end": 206.55, "word": " كتلتها", "probability": 0.9658203125}, {"start": 206.55, "end": 207.15, "word": " M", "probability": 0.794921875}, {"start": 207.15, "end": 207.83, "word": " واحد", "probability": 0.744873046875}, {"start": 207.83, "end": 210.37, "word": " وبتبعد", "probability": 0.81231689453125}, {"start": 210.37, "end": 210.67, "word": " عن", "probability": 0.9765625}, {"start": 210.67, "end": 211.67, "word": " G", "probability": 0.76513671875}, {"start": 211.67, "end": 217.23, "word": " مسافة", "probability": 0.9833984375}, {"start": 217.23, "end": 217.61, "word": " L", "probability": 0.48388671875}, {"start": 217.61, "end": 218.53, "word": " واحد", "probability": 0.98095703125}, {"start": 218.53, "end": 224.55, "word": " حطيت", "probability": 0.7594401041666666}], "temperature": 1.0}, {"id": 10, "seek": 25484, "start": 225.82, "end": 254.84, "text": "كتلة عن D تبعد عن جي ال تلاتة عشان اوديت complete dynamic equivalent للمعيس الكلية انا ممكن احط كتلة عند A", "tokens": [4117, 2655, 37977, 18871, 413, 6055, 3555, 22488, 18871, 10874, 1829, 2423, 6055, 1211, 9307, 3660, 6225, 8592, 7649, 1975, 2407, 16254, 2655, 3566, 8546, 10344, 5296, 19528, 3615, 1829, 3794, 2423, 28820, 10632, 1975, 8315, 3714, 43020, 1975, 5016, 9566, 9122, 2655, 37977, 43242, 316], "avg_logprob": -0.41489360560762123, "compression_ratio": 1.25, "no_speech_prob": 0.0, "words": [{"start": 225.82, "end": 226.28, "word": "كتلة", "probability": 0.8914388020833334}, {"start": 226.28, "end": 226.54, 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" واحد", "probability": 0.9638671875}, {"start": 1215.07, "end": 1215.37, "word": " اللي", "probability": 0.986083984375}, {"start": 1215.37, "end": 1215.69, "word": " هو", "probability": 0.9765625}, {"start": 1215.69, "end": 1216.63, "word": " مية", "probability": 0.977294921875}, {"start": 1216.63, "end": 1220.17, "word": " مية", "probability": 0.949462890625}], "temperature": 1.0}, {"id": 46, "seek": 124744, "start": 1222.22, "end": 1247.44, "text": "طبعا هحاول الى متر هقسم على الف zero point one في ال ال small اللي هو متين و خمسين point اتنين خمسة minus ال capital point اتنين اتنين واحد في ال الف تلاتة و عشرين الف نحسب", "tokens": [9566, 3555, 3615, 995, 8032, 5016, 995, 12610, 2423, 7578, 44650, 2288, 8032, 4587, 38251, 15844, 27188, 4018, 935, 472, 8978, 2423, 2423, 1359, 13672, 1829, 31439, 44650, 9957, 4032, 16490, 2304, 3794, 9957, 935, 1975, 2655, 1863, 9957, 16490, 2304, 3794, 3660, 3175, 2423, 4238, 935, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 36764, 24401, 8978, 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49, "seek": 132983, "start": 1303.51, "end": 1329.83, "text": "الـ connecting rod بس تبدلش ال connecting rod بماس هنا وماس هنا it does not make sense بس تبدلها بماس هنا عند ال piston وماس عند الكرانك وماس عند الكرانك يعني عندي هنا two mass system معناته ال masses عند اللي عند ال piston وعند الكرانك they are not", "tokens": [6027, 39184, 11015, 8685, 4724, 3794, 6055, 44510, 1211, 8592, 2423, 11015, 8685, 4724, 15042, 3794, 34105, 4032, 15042, 3794, 34105, 309, 775, 406, 652, 2020, 4724, 3794, 6055, 44510, 1211, 11296, 4724, 15042, 3794, 34105, 43242, 2423, 30002, 4032, 15042, 3794, 43242, 33251, 2288, 7649, 4117, 4032, 15042, 3794, 43242, 33251, 2288, 7649, 4117, 37495, 22653, 18871, 16254, 34105, 732, 2758, 1185, 20449, 8315, 47395, 2423, 23935, 43242, 13672, 1829, 43242, 2423, 30002, 4032, 3615, 41260, 33251, 2288, 7649, 4117, 436, 366, 406], "avg_logprob": -0.23419118137920605, "compression_ratio": 2.0977011494252875, "no_speech_prob": 0.0, "words": [{"start": 1303.51, "end": 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1329.83, "word": " not", "probability": 0.96142578125}], "temperature": 1.0}, {"id": 50, "seek": 135072, "start": 1330.46, "end": 1350.72, "text": "in complete dynamic equivalent to the original mass of the connecting rod ليش؟ انا عند ال connecting rod بتحرك general plan motion اللي في عنده translation و rotation فال forces النهجة عنه انا بده احاول او ال inertia forces بده انقلها للاطراف عند ال piston", "tokens": [259, 3566, 8546, 10344, 281, 264, 3380, 2758, 295, 264, 11015, 8685, 32239, 8592, 22807, 1975, 8315, 43242, 2423, 11015, 8685, 39894, 5016, 31747, 2674, 1393, 5394, 13672, 1829, 8978, 43242, 3224, 12853, 4032, 12447, 6156, 6027, 5874, 28239, 3224, 7435, 3660, 18871, 3224, 1975, 8315, 47525, 3224, 1975, 5016, 995, 12610, 1975, 2407, 2423, 37234, 5874, 47525, 3224, 16472, 4587, 1211, 11296, 24976, 41193, 23557, 5172, 43242, 2423, 30002], "avg_logprob": -0.2216109192707169, "compression_ratio": 1.5660377358490567, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 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139054, "start": 1366.3, "end": 1390.54, "text": "وانا عند الكرانك فانا هضطر احط mass عند ال .. استبدل ال mass تحت ال connecting rod كأنه two masses كأنه mass at the piston this pin و mass عند الكرانك هنا يعني mass عند P و mass عند C طبعا ال mass", "tokens": [2407, 7649, 995, 43242, 33251, 2288, 7649, 4117, 6156, 7649, 995, 8032, 11242, 9566, 2288, 1975, 5016, 9566, 2758, 43242, 2423, 4386, 44713, 44510, 1211, 2423, 2758, 6055, 33753, 2423, 11015, 8685, 9122, 33456, 3224, 732, 23935, 9122, 33456, 3224, 2758, 412, 264, 30002, 341, 5447, 4032, 2758, 43242, 33251, 2288, 7649, 4117, 34105, 37495, 22653, 2758, 43242, 430, 4032, 2758, 43242, 383, 23032, 3555, 3615, 995, 2423, 2758], "avg_logprob": -0.3133928558656148, "compression_ratio": 1.6646706586826348, "no_speech_prob": 0.0, "words": [{"start": 1366.3, "end": 1366.58, "word": "وانا", "probability": 0.555419921875}, {"start": 1366.58, "end": 1366.74, "word": " عند", "probability": 0.8427734375}, {"start": 1366.74, "end": 1367.24, 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"probability": 0.80712890625}, {"start": 2052.97, "end": 2053.37, "word": " correction", "probability": 0.89111328125}, {"start": 2053.37, "end": 2053.77, "word": " couple", "probability": 0.88330078125}], "temperature": 1.0}, {"id": 78, "seek": 208162, "start": 2054.8, "end": 2081.62, "text": "بيطالع ليه two forces one force لتحت عند C و one force لعلى عند P و ال FY هي هتكون سواء ال correction تقرر T prime على PN الان عند C ال FY عند C ال FY هذا", "tokens": [3555, 1829, 9566, 6027, 3615, 32239, 3224, 732, 5874, 472, 3464, 5296, 2655, 33753, 43242, 383, 4032, 472, 3464, 5296, 3615, 23942, 43242, 430, 4032, 2423, 42730, 39896, 8032, 2655, 30544, 8608, 2407, 16606, 2423, 19984, 6055, 4587, 2288, 2288, 314, 5835, 15844, 430, 45, 2423, 7649, 43242, 383, 2423, 42730, 43242, 383, 2423, 42730, 23758], "avg_logprob": -0.4216008646446362, "compression_ratio": 1.4533333333333334, "no_speech_prob": 0.0, "words": [{"start": 2054.8, "end": 2055.32, "word": "بيطالع", "probability": 0.598291015625}, 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"word": " prime", "probability": 0.29052734375}, {"start": 2066.44, "end": 2066.68, "word": " على", "probability": 0.7353515625}, {"start": 2066.68, "end": 2067.68, "word": " PN", "probability": 0.70654296875}, {"start": 2067.68, "end": 2068.94, "word": " الان", "probability": 0.57177734375}, {"start": 2068.94, "end": 2069.3, "word": " عند", "probability": 0.93310546875}, {"start": 2069.3, "end": 2069.74, "word": " C", "probability": 0.9794921875}, {"start": 2069.74, "end": 2074.22, "word": " ال", "probability": 0.41357421875}, {"start": 2074.22, "end": 2076.44, "word": " FY", "probability": 0.87451171875}, {"start": 2076.44, "end": 2077.68, "word": " عند", "probability": 0.845703125}, {"start": 2077.68, "end": 2078.12, "word": " C", "probability": 0.9697265625}, {"start": 2078.12, "end": 2080.54, "word": " ال", "probability": 0.82177734375}, {"start": 2080.54, "end": 2081.0, "word": " FY", "probability": 0.95361328125}, {"start": 2081.0, "end": 2081.62, "word": " هذا", "probability": 0.34033203125}], "temperature": 1.0}, {"id": 79, "seek": 211065, "start": 2083.07, "end": 2110.65, "text": "بتعمل moment هذه O هذه N وهذه FY بتعمل moment او torque T عند C على الكرانك بصوة FY في N O احنا حكينا ال FY عبارة عن T Prime على P N يعني N O", "tokens": [3555, 2655, 25957, 1211, 1623, 29538, 422, 29538, 426, 37037, 24192, 479, 56, 39894, 25957, 1211, 1623, 1975, 2407, 16437, 314, 43242, 383, 15844, 33251, 2288, 7649, 4117, 4724, 9381, 2407, 3660, 479, 56, 8978, 426, 422, 1975, 5016, 8315, 11331, 4117, 1829, 8315, 2423, 479, 56, 6225, 3555, 9640, 3660, 18871, 314, 9655, 15844, 430, 426, 37495, 22653, 426, 422], "avg_logprob": -0.32938508016447865, "compression_ratio": 1.417808219178082, "no_speech_prob": 0.0, "words": [{"start": 2083.07, "end": 2083.49, "word": "بتعمل", "probability": 0.8721923828125}, {"start": 2083.49, "end": 2084.03, "word": " moment", "probability": 0.73095703125}, {"start": 2084.03, "end": 2084.59, "word": " هذه", "probability": 0.3486328125}, {"start": 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2096.23, "word": " على", "probability": 0.48779296875}, {"start": 2096.23, "end": 2097.97, "word": " الكرانك", "probability": 0.7122802734375}, {"start": 2097.97, "end": 2098.61, "word": " بصوة", "probability": 0.50341796875}, {"start": 2098.61, "end": 2099.41, "word": " FY", "probability": 0.6746826171875}, {"start": 2099.41, "end": 2102.57, "word": " في", "probability": 0.89306640625}, {"start": 2102.57, "end": 2102.89, "word": " N", "probability": 0.4833984375}, {"start": 2102.89, "end": 2103.29, "word": " O", "probability": 0.79150390625}, {"start": 2103.29, "end": 2105.53, "word": " احنا", "probability": 0.89794921875}, {"start": 2105.53, "end": 2105.85, "word": " حكينا", "probability": 0.8358154296875}, {"start": 2105.85, "end": 2105.97, "word": " ال", "probability": 0.7216796875}, {"start": 2105.97, "end": 2106.27, "word": " FY", "probability": 0.81005859375}, {"start": 2106.27, "end": 2106.55, "word": " عبارة", "probability": 0.9697265625}, {"start": 2106.55, "end": 2106.71, "word": " عن", "probability": 0.96630859375}, {"start": 2106.71, "end": 2106.91, "word": " T", "probability": 0.927734375}, {"start": 2106.91, "end": 2107.43, "word": " Prime", "probability": 0.36328125}, {"start": 2107.43, "end": 2109.37, "word": " على", "probability": 0.82421875}, {"start": 2109.37, "end": 2109.61, "word": " P", "probability": 0.94140625}, {"start": 2109.61, "end": 2109.77, "word": " N", "probability": 0.4970703125}, {"start": 2109.77, "end": 2109.97, "word": " يعني", "probability": 0.922119140625}, {"start": 2109.97, "end": 2110.27, "word": " N", "probability": 0.65185546875}, {"start": 2110.27, "end": 2110.65, "word": " O", "probability": 0.97900390625}], "temperature": 1.0}, {"id": 80, "seek": 213969, "start": 2111.92, "end": 2139.7, "text": "على P N و N O N و على فكرة هذه الزاوية في الكتابة غلط هذه ثتا وهذه صح هذه ثتا ال N O عبارة عن R Cos Theta ال N O عبارة عن T Prime في R Cos Theta", "tokens": [3615, 23942, 430, 426, 4032, 426, 422, 426, 4032, 15844, 6156, 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{"start": 2123.92, "end": 2124.14, "word": " هذه", "probability": 0.294189453125}, {"start": 2124.14, "end": 2124.7, "word": " ثتا", "probability": 0.7869466145833334}, {"start": 2124.7, "end": 2127.4, "word": " ال", "probability": 0.88232421875}, {"start": 2127.4, "end": 2127.64, "word": " N", "probability": 0.89453125}, {"start": 2127.64, "end": 2127.84, "word": " O", "probability": 0.9892578125}, {"start": 2127.84, "end": 2128.22, "word": " عبارة", "probability": 0.9937744140625}, {"start": 2128.22, "end": 2128.38, "word": " عن", "probability": 0.97216796875}, {"start": 2128.38, "end": 2128.66, "word": " R", "probability": 0.87109375}, {"start": 2128.66, "end": 2128.94, "word": " Cos", "probability": 0.66162109375}, {"start": 2128.94, "end": 2129.6, "word": " Theta", "probability": 0.6317138671875}, {"start": 2129.6, "end": 2129.96, "word": " ال", "probability": 0.61962890625}, {"start": 2129.96, "end": 2130.16, "word": " N", "probability": 0.9365234375}, {"start": 2130.16, "end": 2130.54, "word": " O", "probability": 0.994140625}, {"start": 2130.54, "end": 2131.32, "word": " عبارة", "probability": 0.99609375}, {"start": 2131.32, "end": 2131.86, "word": " عن", "probability": 0.9814453125}, {"start": 2131.86, "end": 2132.9, "word": " T", "probability": 0.93310546875}, {"start": 2132.9, "end": 2133.4, "word": " Prime", "probability": 0.59814453125}, {"start": 2133.4, "end": 2137.68, "word": " في", "probability": 0.75439453125}, {"start": 2137.68, "end": 2138.08, "word": " R", "probability": 0.97314453125}, {"start": 2138.08, "end": 2138.56, "word": " Cos", "probability": 0.98388671875}, {"start": 2138.56, "end": 2139.7, "word": " Theta", "probability": 0.94384765625}], "temperature": 1.0}, {"id": 81, "seek": 216490, "start": 2143.06, "end": 2164.9, "text": "و ال PN عبارة عن L Cos Phi على L Cos Phi يعني هيكون ال TC سوى T Prime في Cos Theta على N Cos Phi", "tokens": [2407, 2423, 430, 45, 6225, 3555, 9640, 3660, 18871, 441, 15855, 41435, 15844, 441, 15855, 41435, 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L", "probability": 0.94873046875}, {"start": 2147.2, "end": 2149.56, "word": " Cos", "probability": 0.927734375}, {"start": 2149.56, "end": 2151.02, "word": " Phi", "probability": 0.88671875}, {"start": 2151.02, "end": 2151.6, "word": " يعني", "probability": 0.844482421875}, {"start": 2151.6, "end": 2152.06, "word": " هيكون", "probability": 0.6803385416666666}, {"start": 2152.06, "end": 2152.8, "word": " ال", "probability": 0.6142578125}, {"start": 2152.8, "end": 2153.26, "word": " TC", "probability": 0.873046875}, {"start": 2153.26, "end": 2155.18, "word": " سوى", "probability": 0.5779622395833334}, {"start": 2155.18, "end": 2155.58, "word": " T", "probability": 0.9599609375}, {"start": 2155.58, "end": 2156.6, "word": " Prime", "probability": 0.5048828125}, {"start": 2156.6, "end": 2159.18, "word": " في", "probability": 0.7705078125}, {"start": 2159.18, "end": 2159.54, "word": " Cos", "probability": 0.8818359375}, {"start": 2159.54, "end": 2161.64, "word": " Theta", "probability": 0.7109375}, {"start": 2161.64, "end": 2162.14, "word": " على", "probability": 0.8779296875}, {"start": 2162.14, "end": 2162.48, "word": " N", "probability": 0.62939453125}, {"start": 2162.48, "end": 2163.76, "word": " Cos", "probability": 0.9833984375}, {"start": 2163.76, "end": 2164.9, "word": " Phi", "probability": 0.94384765625}], "temperature": 1.0}, {"id": 82, "seek": 219025, "start": 2165.85, "end": 2190.25, "text": "و احنا سابقا جبنا علاقة بين between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between between 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في Alpha PC وAlpha ال connecting rod بساوة minus Omega square sine theta على N بنعوض عن T prime وبعوض عن Alpha PC", "tokens": [3555, 3794, 995, 2407, 3660, 8797, 8978, 2423, 14407, 24401, 8978, 441, 3175, 441, 4238, 8978, 20588, 6465, 4032, 9171, 7211, 2423, 11015, 8685, 4724, 3794, 995, 2407, 3660, 3175, 27645, 3732, 18609, 9725, 15844, 426, 44945, 3615, 2407, 11242, 18871, 314, 5835, 4032, 3555, 3615, 2407, 11242, 18871, 20588, 6465], "avg_logprob": -0.36147837398143917, "compression_ratio": 1.3175675675675675, "no_speech_prob": 0.0, "words": [{"start": 2193.44, "end": 2194.48, "word": "بساوة", "probability": 0.6923828125}, {"start": 2194.48, "end": 2195.52, "word": " MC", "probability": 0.335205078125}, {"start": 2195.52, "end": 2196.66, "word": " في", "probability": 0.300537109375}, {"start": 2196.66, "end": 2197.38, "word": " الواحد", "probability": 0.8590494791666666}, {"start": 2197.38, "end": 2198.08, "word": " في", "probability": 0.83203125}, {"start": 2198.08, "end": 2198.38, 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2612.07, "word": " و", "probability": 0.9970703125}, {"start": 2612.07, "end": 2612.39, "word": " خمسة", "probability": 0.83245849609375}, {"start": 2612.39, "end": 2612.45, "word": " و", "probability": 0.6982421875}, {"start": 2612.45, "end": 2613.03, "word": " عشرين", "probability": 0.9638671875}, {"start": 2613.03, "end": 2614.51, "word": " rpm", "probability": 0.52880859375}, {"start": 2614.51, "end": 2617.09, "word": " ال", "probability": 0.541015625}, {"start": 2617.09, "end": 2617.43, "word": " center", "probability": 0.787109375}, {"start": 2617.43, "end": 2617.69, "word": " of", "probability": 0.962890625}, {"start": 2617.69, "end": 2618.39, "word": " connecting", "probability": 0.88818359375}, {"start": 2618.39, "end": 2619.23, "word": " rod", "probability": 0.9443359375}, {"start": 2619.23, "end": 2619.77, "word": " from", "probability": 0.8994140625}, {"start": 2619.77, "end": 2620.07, "word": " a", "probability": 0.39501953125}, {"start": 2620.07, "end": 2620.41, "word": " crank", "probability": 0.93798828125}, {"start": 2620.41, "end": 2620.87, "word": " pin", "probability": 0.8046875}, {"start": 2620.87, "end": 2622.07, "word": " from", "probability": 0.1988525390625}, {"start": 2622.07, "end": 2622.39, "word": " crank", "probability": 0.517578125}, {"start": 2622.39, "end": 2622.59, "word": " pin", "probability": 0.8662109375}, {"start": 2622.59, "end": 2623.09, "word": " بتساوي", "probability": 0.9615478515625}, {"start": 2623.09, "end": 2623.49, "word": " خمس", "probability": 0.96875}, {"start": 2623.49, "end": 2623.87, "word": " مية", "probability": 0.6591796875}], "temperature": 1.0}, {"id": 99, "seek": 265124, "start": 2627.54, "end": 2651.24, "text": "التلاتة بالسواء خمسمية مليمتر الراديوس الجيراتيشن of the connecting rod about an axis through its gravity بالسواء ستمية و خمسين مليمتر ال KG بالسواء ستمية و خمسين مليمتر", "tokens": [6027, 2655, 1211, 9307, 3660, 20666, 3794, 2407, 16606, 16490, 2304, 38251, 10632, 3714, 20292, 2304, 2655, 2288, 2423, 23557, 16254, 41779, 25724, 13546, 9307, 1829, 8592, 1863, 295, 264, 11015, 8685, 466, 364, 10298, 807, 1080, 12110, 20666, 3794, 2407, 16606, 8608, 39237, 10632, 4032, 16490, 2304, 3794, 9957, 3714, 20292, 2304, 2655, 2288, 2423, 591, 38, 20666, 3794, 2407, 16606, 8608, 39237, 10632, 4032, 16490, 2304, 3794, 9957, 3714, 20292, 2304, 2655, 2288], "avg_logprob": -0.3712993409288557, "compression_ratio": 1.730263157894737, "no_speech_prob": 0.0, "words": [{"start": 2627.54, "end": 2628.44, "word": "التلاتة", "probability": 0.654150390625}, {"start": 2628.44, "end": 2629.34, "word": " بالسواء", "probability": 0.58453369140625}, {"start": 2629.34, "end": 2630.12, "word": " خمسمية", "probability": 0.8751220703125}, {"start": 2630.12, "end": 2633.34, "word": " مليمتر", "probability": 0.7015625}, {"start": 2633.34, "end": 2636.0, "word": " الراديوس", "probability": 0.535797119140625}, {"start": 2636.0, "end": 2636.56, "word": " الجيراتيشن", "probability": 0.4750569661458333}, {"start": 2636.56, "end": 2636.64, "word": " of", "probability": 0.39208984375}, {"start": 2636.64, "end": 2636.78, "word": " the", "probability": 0.69580078125}, {"start": 2636.78, "end": 2636.96, "word": " connecting", "probability": 0.06695556640625}, {"start": 2636.96, "end": 2637.44, "word": " rod", "probability": 0.759765625}, {"start": 2637.44, "end": 2637.92, "word": " about", "probability": 0.8291015625}, {"start": 2637.92, "end": 2638.64, "word": " an", "probability": 0.60498046875}, {"start": 2638.64, "end": 2638.88, "word": " axis", "probability": 0.9248046875}, {"start": 2638.88, "end": 2639.06, "word": " through", "probability": 0.477294921875}, {"start": 2639.06, "end": 2639.18, "word": " its", "probability": 0.60791015625}, {"start": 2639.18, "end": 2639.6, "word": " gravity", "probability": 0.72900390625}, {"start": 2639.6, "end": 2639.94, "word": " بالسواء", "probability": 0.89208984375}, {"start": 2639.94, "end": 2640.28, "word": " ستمية", "probability": 0.8668619791666666}, {"start": 2640.28, "end": 2640.36, "word": " و", "probability": 0.9853515625}, {"start": 2640.36, "end": 2640.62, "word": " خمسين", "probability": 0.7767333984375}, {"start": 2640.62, "end": 2641.16, "word": " مليمتر", "probability": 0.86826171875}, {"start": 2641.16, "end": 2641.48, "word": " ال", "probability": 0.54296875}, {"start": 2641.48, "end": 2642.14, "word": " KG", "probability": 0.6661376953125}, {"start": 2642.14, "end": 2647.14, "word": " بالسواء", "probability": 0.900146484375}, {"start": 2647.14, "end": 2647.56, "word": " ستمية", "probability": 0.89453125}, {"start": 2647.56, "end": 2647.68, "word": " و", "probability": 0.998046875}, {"start": 2647.68, "end": 2648.24, "word": " خمسين", "probability": 0.956787109375}, {"start": 2648.24, "end": 2651.24, "word": " مليمتر", "probability": 0.97705078125}], "temperature": 1.0}, {"id": 100, "seek": 267350, "start": 2655.58, "end": 2673.5, "text": "Determine the magnitude and direction of torque exerted on the crankshaft when the crank has turned through 10 degrees from inner dead center توجد ايش؟ الـ total torque هذا صحيح المباشر يعني انا شايفه", "tokens": [35, 35344, 533, 264, 15668, 293, 3513, 295, 16437, 31941, 292, 322, 264, 941, 14592, 25127, 562, 264, 21263, 575, 3574, 807, 1266, 5310, 490, 7284, 3116, 3056, 6055, 29245, 3215, 1975, 1829, 8592, 22807, 2423, 39184, 3217, 16437, 23758, 20328, 5016, 1829, 5016, 9673, 3555, 33599, 2288, 37495, 22653, 1975, 8315, 13412, 995, 33911, 3224], "avg_logprob": -0.300438592308446, "compression_ratio": 1.2741935483870968, "no_speech_prob": 0.0, "words": [{"start": 2655.58, "end": 2656.14, "word": "Determine", "probability": 0.6158040364583334}, {"start": 2656.14, "end": 2656.26, "word": " the", "probability": 0.89013671875}, {"start": 2656.26, "end": 2656.62, "word": " magnitude", "probability": 0.892578125}, {"start": 2656.62, "end": 2656.88, "word": " and", "probability": 0.95556640625}, {"start": 2656.88, "end": 2657.24, "word": " direction", "probability": 0.95556640625}, {"start": 2657.24, "end": 2657.48, "word": " of", "probability": 0.9765625}, {"start": 2657.48, "end": 2657.72, "word": " torque", "probability": 0.8095703125}, {"start": 2657.72, "end": 2658.24, "word": " exerted", "probability": 0.97607421875}, {"start": 2658.24, "end": 2658.44, "word": " on", "probability": 0.943359375}, {"start": 2658.44, "end": 2658.6, "word": " the", "probability": 0.8935546875}, {"start": 2658.6, "end": 2658.92, "word": " crankshaft", "probability": 0.8289388020833334}, {"start": 2658.92, "end": 2659.1, "word": " when", "probability": 0.93408203125}, {"start": 2659.1, "end": 2659.26, "word": " the", "probability": 0.90576171875}, {"start": 2659.26, "end": 2659.5, "word": " crank", "probability": 0.85498046875}, {"start": 2659.5, "end": 2659.8, "word": " has", "probability": 0.91748046875}, {"start": 2659.8, "end": 2660.12, "word": " turned", "probability": 0.88916015625}, {"start": 2660.12, "end": 2660.5, "word": " through", "probability": 0.861328125}, {"start": 2660.5, "end": 2660.86, "word": " 10", "probability": 0.458740234375}, {"start": 2660.86, "end": 2661.14, "word": " degrees", "probability": 0.87890625}, {"start": 2661.14, "end": 2661.48, "word": " from", "probability": 0.900390625}, {"start": 2661.48, "end": 2661.84, "word": " inner", "probability": 0.6845703125}, {"start": 2661.84, "end": 2662.06, "word": " dead", "probability": 0.9814453125}, {"start": 2662.06, "end": 2663.58, "word": " center", "probability": 0.8564453125}, {"start": 2663.58, "end": 2664.64, "word": " توجد", "probability": 0.5361531575520834}, {"start": 2664.64, "end": 2665.2, "word": " ايش؟", "probability": 0.6519775390625}, {"start": 2665.2, "end": 2665.4, "word": " الـ", "probability": 0.66845703125}, {"start": 2665.4, "end": 2665.66, "word": " total", "probability": 0.435546875}, {"start": 2665.66, "end": 2666.14, "word": " torque", "probability": 0.9013671875}, {"start": 2666.14, "end": 2671.86, "word": " هذا", "probability": 0.611328125}, {"start": 2671.86, "end": 2672.08, "word": " صحيح", "probability": 0.665771484375}, {"start": 2672.08, "end": 2672.58, "word": " المباشر", "probability": 0.8880615234375}, {"start": 2672.58, "end": 2672.78, "word": " يعني", "probability": 0.8955078125}, {"start": 2672.78, "end": 2672.96, "word": " انا", "probability": 0.7352294921875}, {"start": 2672.96, "end": 2673.5, "word": " شايفه", "probability": 0.9815673828125}], "temperature": 1.0}, {"id": 101, "seek": 270705, "start": 2678.13, "end": 2707.05, "text": "طيب the total magnitude and direction of torque exerted on the crankshaft when the crankshaft has turned through 30 degrees from inner dead center طيب هحكي هنا ال total torque هكون T inertia زاد ال TC زاد ال TW طيب ناخد واحد واحد", "tokens": [9566, 1829, 3555, 264, 3217, 15668, 293, 3513, 295, 16437, 31941, 292, 322, 264, 941, 14592, 25127, 562, 264, 941, 14592, 25127, 575, 3574, 807, 2217, 5310, 490, 7284, 3116, 3056, 23032, 1829, 3555, 8032, 5016, 4117, 1829, 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exerted", "probability": 0.9677734375}, {"start": 2681.23, "end": 2681.45, "word": " on", "probability": 0.91748046875}, {"start": 2681.45, "end": 2681.65, "word": " the", "probability": 0.86669921875}, {"start": 2681.65, "end": 2682.13, "word": " crankshaft", "probability": 0.8683268229166666}, {"start": 2682.13, "end": 2682.29, "word": " when", "probability": 0.88720703125}, {"start": 2682.29, "end": 2682.41, "word": " the", "probability": 0.6572265625}, {"start": 2682.41, "end": 2682.69, "word": " crankshaft", "probability": 0.90869140625}, {"start": 2682.69, "end": 2682.95, "word": " has", "probability": 0.91064453125}, {"start": 2682.95, "end": 2683.23, "word": " turned", "probability": 0.869140625}, {"start": 2683.23, "end": 2683.59, "word": " through", "probability": 0.71826171875}, {"start": 2683.59, "end": 2683.93, "word": " 30", "probability": 0.408447265625}, {"start": 2683.93, "end": 2684.21, "word": " degrees", "probability": 0.8212890625}, {"start": 2684.21, "end": 2684.49, "word": " from", "probability": 0.908203125}, {"start": 2684.49, "end": 2684.79, "word": " inner", "probability": 0.75927734375}, {"start": 2684.79, "end": 2685.03, "word": " dead", "probability": 0.96337890625}, {"start": 2685.03, "end": 2685.51, "word": " center", "probability": 0.85595703125}, {"start": 2685.51, "end": 2687.27, "word": " طيب", "probability": 0.9270833333333334}, {"start": 2687.27, "end": 2688.71, "word": " هحكي", "probability": 0.64617919921875}, {"start": 2688.71, "end": 2688.87, "word": " هنا", "probability": 0.92138671875}, {"start": 2688.87, "end": 2689.03, "word": " ال", "probability": 0.88037109375}, {"start": 2689.03, "end": 2689.23, "word": " total", "probability": 0.85205078125}, {"start": 2689.23, "end": 2689.75, "word": " torque", "probability": 0.91357421875}, {"start": 2689.75, "end": 2691.25, "word": " هكون", "probability": 0.716796875}, {"start": 2691.25, "end": 2691.73, "word": " T", "probability": 0.75390625}, {"start": 2691.73, "end": 2692.49, "word": " inertia", "probability": 0.387939453125}, {"start": 2692.49, "end": 2694.05, "word": " زاد", "probability": 0.581787109375}, {"start": 2694.05, "end": 2694.25, "word": " ال", "probability": 0.470947265625}, {"start": 2694.25, "end": 2694.71, "word": " TC", "probability": 0.6142578125}, {"start": 2694.71, "end": 2696.39, "word": " زاد", "probability": 0.936767578125}, {"start": 2696.39, "end": 2697.81, "word": " ال", "probability": 0.9267578125}, {"start": 2697.81, "end": 2698.39, "word": " TW", "probability": 0.94091796875}, {"start": 2698.39, "end": 2703.73, "word": " طيب", "probability": 0.9777018229166666}, {"start": 2703.73, "end": 2706.31, "word": " ناخد", "probability": 0.7703450520833334}, {"start": 2706.31, "end": 2706.61, "word": " واحد", "probability": 0.964599609375}, {"start": 2706.61, "end": 2707.05, "word": " واحد", "probability": 0.943115234375}], "temperature": 1.0}, {"id": 102, "seek": 274125, "start": 2713.09, "end": 2741.25, "text": "الـ T I ال T I بيستوى ال F I في R في SIN ثيتا زاد SIN two theta على اتنين N طيب ال F I", "tokens": [6027, 39184, 314, 286, 2423, 314, 286, 4724, 1829, 14851, 2407, 7578, 2423, 479, 286, 8978, 497, 8978, 318, 1464, 38637, 36081, 995, 30767, 18513, 318, 1464, 732, 9725, 15844, 1975, 2655, 1863, 9957, 426, 23032, 1829, 3555, 2423, 479, 286], "avg_logprob": -0.3673735033898127, "compression_ratio": 1.1941747572815533, "no_speech_prob": 0.0, "words": [{"start": 2713.09, "end": 2713.53, "word": "الـ", "probability": 0.765869140625}, {"start": 2713.53, "end": 2713.67, "word": " T", "probability": 0.192138671875}, {"start": 2713.67, "end": 2714.09, "word": " I", "probability": 0.77685546875}, {"start": 2714.09, "end": 2719.01, "word": " ال", "probability": 0.6982421875}, {"start": 2719.01, "end": 2719.25, "word": " T", "probability": 0.72705078125}, {"start": 2719.25, "end": 2719.71, "word": " I", "probability": 0.99755859375}, {"start": 2719.71, "end": 2721.85, "word": " بيستوى", "probability": 0.680615234375}, {"start": 2721.85, "end": 2721.97, "word": " ال", "probability": 0.72021484375}, {"start": 2721.97, "end": 2722.21, "word": " F", "probability": 0.68310546875}, {"start": 2722.21, "end": 2722.67, "word": " I", "probability": 0.8779296875}, {"start": 2722.67, "end": 2723.95, "word": " في", "probability": 0.7578125}, {"start": 2723.95, "end": 2724.39, "word": " R", "probability": 0.9521484375}, {"start": 2724.39, "end": 2726.09, "word": " في", "probability": 0.830078125}, {"start": 2726.09, "end": 2726.49, "word": " SIN", "probability": 0.317138671875}, {"start": 2726.49, "end": 2728.21, "word": " ثيتا", "probability": 0.6199544270833334}, {"start": 2728.21, "end": 2729.53, "word": " زاد", "probability": 0.634765625}, {"start": 2729.53, "end": 2730.37, "word": " SIN", "probability": 0.814208984375}, {"start": 2730.37, "end": 2731.25, "word": " two", "probability": 0.319091796875}, {"start": 2731.25, "end": 2731.79, "word": " theta", "probability": 0.54931640625}, {"start": 2731.79, "end": 2732.69, "word": " على", "probability": 0.70947265625}, {"start": 2732.69, "end": 2733.05, "word": " اتنين", "probability": 0.959716796875}, {"start": 2733.05, "end": 2733.35, "word": " N", "probability": 0.2491455078125}, {"start": 2733.35, "end": 2737.39, "word": " طيب", "probability": 0.9793294270833334}, {"start": 2737.39, "end": 2740.59, "word": " ال", "probability": 0.8896484375}, {"start": 2740.59, "end": 2740.85, "word": " F", "probability": 0.9697265625}, {"start": 2740.85, "end": 2741.25, "word": " I", "probability": 0.990234375}], "temperature": 1.0}, {"id": 103, "seek": 277025, "start": 2746.03, "end": 2770.25, "text": "بتساوى MR زائد L minus L واحد على L في MC في Omega Square R في Cos Theta زائد Cos Two Theta على N", "tokens": [3555, 2655, 3794, 995, 2407, 7578, 9808, 30767, 16373, 3215, 441, 3175, 441, 36764, 24401, 15844, 441, 8978, 8797, 8978, 27645, 16463, 497, 8978, 15855, 334, 7664, 30767, 16373, 3215, 15855, 4453, 334, 7664, 15844, 426], "avg_logprob": -0.3207347844098065, "compression_ratio": 1.2450980392156863, "no_speech_prob": 0.0, "words": [{"start": 2746.03, "end": 2746.75, "word": "بتساوى", "probability": 0.8065592447916666}, {"start": 2746.75, "end": 2747.39, "word": " MR", "probability": 0.32470703125}, {"start": 2747.39, "end": 2751.73, "word": " زائد", "probability": 0.5805257161458334}, {"start": 2751.73, "end": 2752.17, "word": " L", "probability": 0.9326171875}, {"start": 2752.17, "end": 2753.43, "word": " minus", "probability": 0.2451171875}, {"start": 2753.43, "end": 2753.71, "word": " L", "probability": 0.96630859375}, {"start": 2753.71, "end": 2754.29, "word": " واحد", "probability": 0.823974609375}, {"start": 2754.29, "end": 2755.35, "word": " على", "probability": 0.66845703125}, {"start": 2755.35, "end": 2755.75, "word": " L", "probability": 0.95947265625}, {"start": 2755.75, "end": 2756.81, "word": " في", "probability": 0.74658203125}, {"start": 2756.81, "end": 2757.33, "word": " MC", 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{"start": 3045.56, "end": 3046.04, "word": " واحد", "probability": 0.99267578125}, {"start": 3046.04, "end": 3047.84, "word": " KG", "probability": 0.88916015625}, {"start": 3047.84, "end": 3048.04, "word": " اللي", "probability": 0.942626953125}, {"start": 3048.04, "end": 3048.24, "word": " هي", "probability": 0.89794921875}, {"start": 3048.24, "end": 3048.62, "word": " اكم", "probability": 0.72021484375}, {"start": 3048.62, "end": 3051.16, "word": " ستمية", "probability": 0.7445475260416666}, {"start": 3051.16, "end": 3051.24, "word": " و", "probability": 0.9892578125}, {"start": 3051.24, "end": 3051.68, "word": " خمسين", "probability": 0.8746337890625}, {"start": 3051.68, "end": 3052.3, "word": " تربية", "probability": 0.95703125}], "temperature": 1.0}, {"id": 113, "seek": 308195, "start": 3054.17, "end": 3081.95, "text": "زاد L واحد اللي هي أظن ألف زاد ألف تربية على ألف وبينها بحسب ال L capital و بعدين بحسب ال TC لأن صار عند ال MC و L واحد و L capital كله بحسب بحسب ال TC ال term التالت اللي هو TW TW", "tokens": [11622, 18513, 441, 36764, 24401, 13672, 1829, 39896, 5551, 19913, 1863, 5551, 46538, 30767, 18513, 5551, 46538, 6055, 25513, 10632, 15844, 5551, 46538, 46599, 9957, 11296, 4724, 5016, 35457, 2423, 441, 4238, 4032, 39182, 9957, 4724, 5016, 35457, 2423, 34150, 5296, 33456, 20328, 9640, 43242, 2423, 8797, 4032, 441, 36764, 24401, 4032, 441, 4238, 28242, 3224, 4724, 5016, 35457, 4724, 5016, 35457, 2423, 34150, 2423, 1433, 16712, 6027, 2655, 13672, 1829, 31439, 23737, 23737], "avg_logprob": -0.25958332379659016, "compression_ratio": 1.7317073170731707, "no_speech_prob": 0.0, "words": [{"start": 3054.17, "end": 3054.69, "word": "زاد", "probability": 0.741455078125}, {"start": 3054.69, "end": 3054.93, "word": " L", "probability": 0.333251953125}, {"start": 3054.93, "end": 3055.41, "word": " واحد", "probability": 0.9140625}, {"start": 3055.41, "end": 3055.57, "word": " اللي", "probability": 0.67822265625}, {"start": 3055.57, "end": 3056.05, "word": " هي", "probability": 0.8994140625}, {"start": 3056.05, "end": 3058.03, "word": " أظن", "probability": 0.8008626302083334}, {"start": 3058.03, "end": 3058.49, "word": " ألف", "probability": 0.755126953125}, {"start": 3058.49, "end": 3059.93, "word": " زاد", "probability": 0.844970703125}, {"start": 3059.93, "end": 3060.17, "word": " ألف", "probability": 0.7315673828125}, {"start": 3060.17, "end": 3060.69, "word": " تربية", "probability": 0.7596028645833334}, {"start": 3060.69, "end": 3063.41, "word": " على", "probability": 0.81396484375}, {"start": 3063.41, "end": 3063.85, "word": " ألف", "probability": 0.7705078125}, {"start": 3063.85, "end": 3066.43, "word": " وبينها", "probability": 0.7529296875}, {"start": 3066.43, "end": 3066.93, "word": " بحسب", "probability": 0.9807942708333334}, {"start": 3066.93, "end": 3067.29, "word": " ال", "probability": 0.70654296875}, {"start": 3067.29, "end": 3067.51, "word": " L", "probability": 0.88720703125}, {"start": 3067.51, "end": 3068.07, "word": " capital", "probability": 0.5556640625}, {"start": 3068.07, "end": 3070.09, "word": " و", "probability": 0.5419921875}, {"start": 3070.09, "end": 3070.41, "word": " بعدين", "probability": 0.815185546875}, {"start": 3070.41, "end": 3070.73, "word": " بحسب", "probability": 0.9884440104166666}, {"start": 3070.73, "end": 3070.87, "word": " ال", "probability": 0.92333984375}, {"start": 3070.87, "end": 3071.03, "word": " TC", "probability": 0.74462890625}, {"start": 3071.03, "end": 3071.27, "word": " لأن", "probability": 0.722412109375}, {"start": 3071.27, "end": 3071.49, "word": " صار", "probability": 0.6197509765625}, {"start": 3071.49, "end": 3071.69, "word": " عند", "probability": 0.6953125}, {"start": 3071.69, "end": 3071.81, "word": " ال", "probability": 0.6474609375}, {"start": 3071.81, "end": 3072.07, "word": " MC", "probability": 0.88330078125}, {"start": 3072.07, "end": 3072.29, "word": " و", "probability": 0.69287109375}, {"start": 3072.29, "end": 3072.39, "word": " L", "probability": 0.486572265625}, {"start": 3072.39, "end": 3072.71, "word": " واحد", "probability": 0.946044921875}, {"start": 3072.71, "end": 3072.85, "word": " و", "probability": 0.92578125}, {"start": 3072.85, "end": 3073.07, "word": " L", "probability": 0.7783203125}, {"start": 3073.07, "end": 3073.49, "word": " capital", "probability": 0.84619140625}, {"start": 3073.49, "end": 3073.83, "word": " كله", "probability": 0.734375}, {"start": 3073.83, "end": 3074.07, "word": " بحسب", "probability": 0.93408203125}, {"start": 3074.07, "end": 3074.39, "word": " بحسب", "probability": 0.8225911458333334}, {"start": 3074.39, "end": 3074.53, "word": " ال", "probability": 0.95263671875}, {"start": 3074.53, "end": 3074.83, "word": " TC", "probability": 0.919921875}, {"start": 3074.83, "end": 3075.85, "word": " ال", "probability": 0.6533203125}, {"start": 3075.85, "end": 3076.07, "word": " term", "probability": 0.90673828125}, {"start": 3076.07, "end": 3076.53, "word": " التالت", "probability": 0.9830729166666666}, {"start": 3076.53, "end": 3076.67, "word": " اللي", "probability": 0.88525390625}, {"start": 3076.67, "end": 3076.85, "word": " هو", "probability": 0.9794921875}, {"start": 3076.85, "end": 3077.33, "word": " TW", "probability": 0.51953125}, {"start": 3077.33, "end": 3081.95, "word": " TW", "probability": 0.60693359375}], "temperature": 1.0}, {"id": 114, "seek": 311554, "start": 3087.74, "end": 3115.54, "text": "بتسوق minus MC G في L واحد على N Cos Theta بعدين برجع احكي ال total torque T بسوق T واحد T I زاد T C زاد", "tokens": [3555, 2655, 3794, 2407, 4587, 3175, 8797, 460, 8978, 441, 36764, 24401, 15844, 426, 15855, 334, 7664, 39182, 9957, 4724, 47341, 3615, 1975, 5016, 4117, 1829, 2423, 3217, 16437, 314, 4724, 3794, 2407, 4587, 314, 36764, 24401, 314, 286, 30767, 18513, 314, 383, 30767, 18513], "avg_logprob": -0.3872282705877138, "compression_ratio": 1.1666666666666667, "no_speech_prob": 0.0, "words": [{"start": 3087.74, "end": 3088.46, "word": "بتسوق", "probability": 0.716259765625}, {"start": 3088.46, "end": 3088.86, "word": " minus", "probability": 0.50927734375}, {"start": 3088.86, "end": 3089.4, "word": " MC", "probability": 0.66015625}, {"start": 3089.4, "end": 3093.4, "word": " G", "probability": 0.38623046875}, {"start": 3093.4, "end": 3094.86, "word": " في", "probability": 0.21142578125}, {"start": 3094.86, "end": 3095.08, "word": " L", "probability": 0.7216796875}, {"start": 3095.08, "end": 3095.48, "word": " واحد", "probability": 0.819091796875}, {"start": 3095.48, "end": 3095.66, "word": " على", "probability": 0.7236328125}, {"start": 3095.66, "end": 3096.0, "word": " N", "probability": 0.95458984375}, {"start": 3096.0, "end": 3097.54, "word": " Cos", "probability": 0.54345703125}, {"start": 3097.54, "end": 3100.48, "word": " Theta", "probability": 0.59405517578125}, {"start": 3100.48, "end": 3103.38, "word": " بعدين", "probability": 0.767822265625}, {"start": 3103.38, "end": 3103.72, "word": " برجع", "probability": 0.7138671875}, {"start": 3103.72, "end": 3103.92, "word": " احكي", "probability": 0.77069091796875}, {"start": 3103.92, "end": 3104.16, "word": " ال", "probability": 0.418701171875}, {"start": 3104.16, "end": 3104.48, "word": " total", "probability": 0.76513671875}, {"start": 3104.48, "end": 3104.96, "word": " torque", "probability": 0.84521484375}, {"start": 3104.96, "end": 3105.72, "word": " T", "probability": 0.90380859375}, {"start": 3105.72, "end": 3107.7, "word": " بسوق", "probability": 0.8275146484375}, {"start": 3107.7, "end": 3107.9, "word": " T", "probability": 0.90576171875}, {"start": 3107.9, "end": 3108.46, "word": " واحد", "probability": 0.9833984375}, {"start": 3108.46, "end": 3109.46, "word": " T", "probability": 0.10772705078125}, {"start": 3109.46, "end": 3109.9, "word": " I", "probability": 0.86279296875}, {"start": 3109.9, "end": 3111.78, "word": " زاد", "probability": 0.62158203125}, {"start": 3111.78, "end": 3112.28, "word": " T", "probability": 0.89111328125}, {"start": 3112.28, "end": 3113.96, "word": " C", "probability": 0.91552734375}, {"start": 3113.96, "end": 3115.54, "word": " زاد", "probability": 0.97314453125}], "temperature": 1.0}, {"id": 115, "seek": 312369, "start": 3117.03, "end": 3123.69, "text": "TW هيك بيكون هنا ال chapter ال inertia forces calculation", "tokens": [51, 54, 39896, 4117, 4724, 1829, 30544, 34105, 2423, 7187, 2423, 37234, 5874, 17108], "avg_logprob": -0.4494791626930237, "compression_ratio": 1.0, "no_speech_prob": 6.508827209472656e-05, "words": [{"start": 3117.03, "end": 3117.55, "word": "TW", "probability": 0.601318359375}, {"start": 3117.55, "end": 3119.11, "word": " هيك", "probability": 0.518310546875}, {"start": 3119.11, "end": 3119.33, "word": " بيكون", "probability": 0.8611653645833334}, {"start": 3119.33, "end": 3119.75, "word": " هنا", "probability": 0.5087890625}, {"start": 3119.75, "end": 3120.25, "word": " ال", "probability": 0.36279296875}, {"start": 3120.25, "end": 3120.69, "word": " chapter", "probability": 0.91748046875}, {"start": 3120.69, "end": 3121.85, "word": " ال", "probability": 0.83544921875}, {"start": 3121.85, "end": 3122.27, "word": " inertia", "probability": 0.978515625}, {"start": 3122.27, "end": 3122.95, "word": " forces", "probability": 0.76904296875}, {"start": 3122.95, "end": 3123.69, "word": " calculation", "probability": 0.9169921875}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3124.54675, "duration_after_vad": 2799.4181249999883}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/h4PgVc3MRLU_raw.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/h4PgVc3MRLU_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..4dc9466e770d12199ea2902ae4931fa9cc0c65a9
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/h4PgVc3MRLU_raw.srt
@@ -0,0 +1,2236 @@
+1
+00:00:04,990 --> 00:00:07,770
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,770 --> 00:00:11,210
+وبركاته طبعا هنكمل هذه المحاضرة الرابعة في الشابتر
+
+3
+00:00:11,210 --> 00:00:14,870
+اللي هو inertia forces of reciprocating parts في
+
+4
+00:00:14,870 --> 00:00:18,290
+المحاضرات السابقة عملنا اللي هو kinematic analysis
+
+5
+00:00:18,290 --> 00:00:22,170
+حسبنا ال displacement velocity acceleration of the
+
+6
+00:00:22,170 --> 00:00:24,690
+piston of the slider crank mechanism حسبنا ال
+
+7
+00:00:24,690 --> 00:00:26,210
+anger velocity و ال anger acceleration لل
+
+8
+00:00:26,210 --> 00:00:31,610
+connecting rod بعدين عملنا force analysisحسب ال
+
+9
+00:00:31,610 --> 00:00:35,130
+force acting along the connecting rod ال force
+
+10
+00:00:35,130 --> 00:00:40,050
+that is transferred to the crank عملنا لها
+
+11
+00:00:40,050 --> 00:00:43,050
+تحللناها لمركبتها المركبة في اتجاه ال crank و
+
+12
+00:00:43,050 --> 00:00:45,070
+المركبة العموديه في اتجاه ال crank المركبة
+
+13
+00:00:45,070 --> 00:00:47,250
+العموديه في اتجاه ال crank هي بتعمل ال torque
+
+14
+00:00:47,250 --> 00:00:55,420
+بتخلي ال crank تدورو حسبنا ال torque بعدك درسنا ال
+
+15
+00:00:55,420 --> 00:01:01,120
+compound pendulum case how to experimentally
+
+16
+00:01:01,120 --> 00:01:06,060
+determine the rates of gyration of any rigid body
+
+17
+00:01:06,060 --> 00:01:11,380
+by oscillating this rigid body about some point
+
+18
+00:01:11,380 --> 00:01:14,560
+وبعدين بنقياس الزمن الدوري، بنقياس الزمن الدوري،
+
+19
+00:01:14,560 --> 00:01:19,760
+بنحس بإلكيجي ال rates of gyrationبعدين شوفنا كيف
+
+20
+00:01:19,760 --> 00:01:24,000
+نجيب two mass system that is dynamically
+
+21
+00:01:24,000 --> 00:01:33,440
+equivalent of a rigid body اليوم هنكمل يعني
+
+22
+00:01:33,440 --> 00:01:38,660
+بس عشان مايصيش خربطة قبل ما أقرأ العنوان نحكي
+
+23
+00:01:38,660 --> 00:01:41,340
+بعدين نفهم مش العنوان طيب
+
+24
+00:01:46,360 --> 00:01:50,360
+when two masses are placed arbitrarily then the
+
+25
+00:01:50,360 --> 00:01:53,280
+following conditions will only be satisfied اذا
+
+26
+00:01:53,280 --> 00:02:01,020
+حطيت انا عندي هي higher rigid body هي
+
+27
+00:02:01,020 --> 00:02:11,430
+البركز تقعله حطيت mass M1 وحطيت mass هنا M2بشكل
+
+28
+00:02:11,430 --> 00:02:18,540
+عشوائي حطيت M1 و M2 بحيث ان M1 و M2 بالساويةM
+
+29
+00:02:18,540 --> 00:02:24,040
+وبحيث M1L1 بيستوى M2L2 We satisfy only two
+
+30
+00:02:24,040 --> 00:02:26,340
+conditions ال two conditions اللي حققناهم احنا
+
+31
+00:02:26,340 --> 00:02:29,280
+حطناها بشكل عشوائي two conditions اللي حققناهم انه
+
+32
+00:02:29,280 --> 00:02:33,120
+مجموع ال two masses نفس ال mass الكلية درجة بزي ال
+
+33
+00:02:33,120 --> 00:02:36,180
+center of gravity لل two masses نفس ال center of
+
+34
+00:02:36,180 --> 00:02:41,040
+gravity لل total mass لكن في شرط مااتحققش اللي هو
+
+35
+00:02:41,040 --> 00:02:45,890
+ال mass momentum inertia لل two massesمش ممكن
+
+36
+00:02:45,890 --> 00:02:49,570
+يساوي ال total ال mass is not proportional to the
+
+37
+00:02:49,570 --> 00:02:53,630
+total body M1 ال 1 تربيع زي M2 التربيع لايمكن
+
+38
+00:02:53,630 --> 00:03:00,350
+تسويها اذا انا حطيت ال masses arbitrary يعني
+
+39
+00:03:00,350 --> 00:03:05,470
+لان خليني اطلع الصورة هذه عند هاي في enriched body
+
+40
+00:03:05,470 --> 00:03:11,610
+هاي مركز تقل جي حزب
+
+41
+00:03:11,610 --> 00:03:12,890
+مركز تقل جي
+
+42
+00:03:17,330 --> 00:03:23,990
+I have one mass هنا at
+
+43
+00:03:23,990 --> 00:03:37,230
+A كتلتها M واحد وبتبعد عن G مسافة
+
+44
+00:03:37,230 --> 00:03:44,550
+L واحد حطيت
+
+45
+00:03:45,820 --> 00:03:56,200
+كتلة عن D تبعد
+
+46
+00:03:56,200 --> 00:04:10,300
+عن جي ال تلاتة عشان
+
+47
+00:04:10,300 --> 00:04:13,020
+اوديت complete dynamic equivalent للمعيس الكلية
+
+48
+00:04:13,020 --> 00:04:19,900
+انا ممكن احط كتلة عند Aوكتلة عند بي
+
+49
+00:04:19,900 --> 00:04:26,980
+هذه على بعد الاتنين
+
+50
+00:04:26,980 --> 00:04:30,000
+المسهر
+
+51
+00:04:30,000 --> 00:04:35,060
+كله بين a و d هسميها ال
+
+52
+00:04:35,060 --> 00:04:39,500
+small
+
+53
+00:04:49,520 --> 00:05:00,580
+و المسابق الكتل بين a و b هسميها ال capital ال
+
+54
+00:05:00,580 --> 00:05:00,940
+capital
+
+55
+00:05:05,350 --> 00:05:08,590
+لأن في حالة لو حطيت كتلة عند A و كتلة عند B كل
+
+56
+00:05:08,590 --> 00:05:13,730
+الشروط اتحقق، هيكون عندي M1 زاد M2 بالساوية M و M1
+
+57
+00:05:13,730 --> 00:05:19,070
+L1 بالساوية M2 أقل 2 و الممتفنرش للماس at A زاد
+
+58
+00:05:19,070 --> 00:05:21,750
+ممتفنرش للماس at B حوالين G هي نفس الممتفنرش اللي
+
+59
+00:05:21,750 --> 00:05:25,800
+.. يعني هيكون عندي L1 أقل 2، يعني عندي L1الواحد
+
+60
+00:05:25,800 --> 00:05:33,300
+الاتنين بيستوي KG تربيع يعني الواحد الاتنين بيستوي
+
+61
+00:05:33,300 --> 00:05:37,260
+KG تربيع يعني لو حاطيت one mass and a و one b هذا
+
+62
+00:05:37,260 --> 00:05:39,540
+بيكون dynamic equivalent system لكن لو حاطيت mass
+
+63
+00:05:39,540 --> 00:05:43,240
+and a و b this is not dynamic equivalent لأن الشرط
+
+64
+00:05:43,240 --> 00:05:48,760
+الأولاللي هو M1 زي M2 بيستوي M بتحقق والشرط التاني
+
+65
+00:05:48,760 --> 00:05:55,940
+M1 في L1 بيستوي M2 في L3 بتحقق لكن الشرط التالت ان
+
+66
+00:05:55,940 --> 00:06:07,120
+L1 في L3 مابيستويش KG تربيع L1 في L3 مابيستويش KG
+
+67
+00:06:07,120 --> 00:06:16,540
+تربيع هتكون دي L1 L3 بيستوي sumبسميها كي واحد كي
+
+68
+00:06:16,540 --> 00:06:22,400
+واحد تربيع بسميها كي واحد
+
+69
+00:06:22,400 --> 00:06:28,660
+معناه
+
+70
+00:06:28,660 --> 00:06:34,200
+اذا الجسم الـ angle of acceleration اللي كان في
+
+71
+00:06:34,200 --> 00:06:41,320
+عكس عقار بالساعة Alpha هتكون
+
+72
+00:06:41,320 --> 00:06:41,920
+ال torque
+
+73
+00:06:44,810 --> 00:06:56,490
+الـ Torque I G في Alpha اللي
+
+74
+00:06:56,490 --> 00:07:02,630
+هي بقرة عن KGM KG تربية في Alpha ده الـ Torque
+
+75
+00:07:02,630 --> 00:07:07,390
+الأصلي for Dynamic Equal System الـ Torque for Non
+
+76
+00:07:07,390 --> 00:07:12,430
+Dynamic Equal System T1 هيكون سواء M KI
+
+77
+00:07:13,800 --> 00:07:19,860
+تربيع K أو K واحد سميه هو K واحد تربيع في Alpha
+
+78
+00:07:19,860 --> 00:07:28,220
+الان واضح هاي ال واحد هاي ال اتنين واضح ان ال واحد
+
+79
+00:07:28,220 --> 00:07:31,200
+في ال اتنين مايسويش ال واحد في ال تلاته لأنه
+
+80
+00:07:31,200 --> 00:07:36,820
+ببساطة ال اتنين غير ال تلاته فالواحد ال اتنين لا
+
+81
+00:07:36,820 --> 00:07:38,420
+تساوي ال واحد
+
+82
+00:07:41,160 --> 00:07:47,500
+الاتنين بتسويش الواحد التلاتة واضح ان الواحد في
+
+83
+00:07:47,500 --> 00:07:55,380
+الصورة الواحد في التلاتة اكبر من الواحد في الاتنين
+
+84
+00:07:55,380 --> 00:08:01,940
+معناه
+
+85
+00:08:01,940 --> 00:08:06,280
+we have to make some correction لنعمل تصحية we
+
+86
+00:08:06,280 --> 00:08:07,560
+have to make some correction
+
+87
+00:08:10,500 --> 00:08:15,880
+اللي هو correction couple هيكون ال difference Of
+
+88
+00:08:15,880 --> 00:08:25,160
+the two torques ال correction couple T prime So T
+
+89
+00:08:25,160 --> 00:08:35,700
+واحد minus T T واحد اللي هي M K واحد تربيع في
+
+90
+00:08:35,700 --> 00:08:50,330
+Alphaminus M KG تربية في الفة هيكون M ناخد هيكون
+
+91
+00:08:50,330 --> 00:09:03,710
+عندك K واحد تربية minus KG تربية في الفة this
+
+92
+00:09:03,710 --> 00:09:08,870
+couple must be appliedWhen the masses are placed
+
+93
+00:09:08,870 --> 00:09:11,290
+arbitrarily to make the system dynamically
+
+94
+00:09:11,290 --> 00:09:14,050
+equivalent لازم I have to apply this couple علشان
+
+95
+00:09:14,050 --> 00:09:17,090
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+96
+00:09:17,090 --> 00:09:17,710
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+97
+00:09:17,710 --> 00:09:18,950
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+98
+00:09:18,950 --> 00:09:18,950
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+99
+00:09:18,950 --> 00:09:18,950
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+100
+00:09:18,950 --> 00:09:18,950
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+101
+00:09:18,950 --> 00:09:18,950
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+102
+00:09:18,950 --> 00:09:18,950
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+103
+00:09:18,950 --> 00:09:18,950
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+104
+00:09:18,950 --> 00:09:18,950
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+105
+00:09:18,950 --> 00:09:18,950
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+106
+00:09:18,950 --> 00:09:22,510
+ال ال ال ال ال ال التالتالت
+
+107
+00:09:30,530 --> 00:09:36,410
+و ال KG تربيع اللي هي L1 L2 في Alpha يعني هتكون
+
+108
+00:09:36,410 --> 00:09:49,410
+ساوى لو أخدت M L1 في L3 minus L2 في Alpha نرجع
+
+109
+00:09:49,410 --> 00:09:50,010
+للشكل
+
+110
+00:10:00,380 --> 00:10:05,620
+عند ال ال تلاتة هي ال ال تلاتة وهي ال ال اتنين ال
+
+111
+00:10:05,620 --> 00:10:10,220
+ال تلاتة ناقص ال ال اتنين عبارة عن ال small ناقص
+
+112
+00:10:10,220 --> 00:10:13,240
+ال capital يعني هذه مثلا هتكون ال small يعني هتكون
+
+113
+00:10:13,240 --> 00:10:20,060
+M ال واحد هتكون
+
+114
+00:10:20,060 --> 00:10:32,020
+M ال واحد في ال small minus ال capitalالـ L small
+
+115
+00:10:32,020 --> 00:10:37,440
+هي الـ distance between two masses A and B placed
+
+116
+00:10:37,440 --> 00:10:42,320
+arbitrarily والـ L capital هي الـ distance between
+
+117
+00:10:42,320 --> 00:10:45,920
+two masses A and B placed such that A and B are
+
+118
+00:10:45,920 --> 00:10:51,060
+dynamically equivalent to the mass of درجة البطلية
+
+119
+00:10:55,120 --> 00:10:58,260
+طبعا ال ال capital اذا فاكرين في المحاضرة صحيح انا
+
+120
+00:10:58,260 --> 00:11:05,040
+ال ال capital بالساوية كيجي تربية زاد ال واحد
+
+121
+00:11:05,040 --> 00:11:12,700
+تربية على ال واحد ال ال capital بالساوية كيجي
+
+122
+00:11:12,700 --> 00:11:22,340
+تربية زاد ال واحد تربية على ال واحد طيب
+
+123
+00:11:22,340 --> 00:11:23,160
+انحل ال example
+
+124
+00:12:05,020 --> 00:12:08,640
+المركز السقل ببعد مسافة
+
+125
+00:12:10,770 --> 00:12:14,870
+ميت ملي يعني هذه مثلا من هنا لهاين ميت ملي من
+
+126
+00:12:14,870 --> 00:12:20,170
+الجادجون pen along the line of centers the rate of
+
+127
+00:12:20,170 --> 00:12:22,710
+gyration about an axis through center of gravity
+
+128
+00:12:22,710 --> 00:12:25,810
+perpendicular to plane of motion of rotation is
+
+129
+00:12:25,810 --> 00:12:31,690
+مية و عشرة الكاجي بيساوي
+
+130
+00:12:31,690 --> 00:12:34,330
+مية و عشرة millimeter
+
+131
+00:12:39,910 --> 00:12:44,270
+هنطلع على الـ Geometry طبعا هو انا عندي hand في
+
+132
+00:12:44,270 --> 00:12:47,110
+عندي hand ال radius لل pen hand خمسة و سبعين ملي
+
+133
+00:12:47,110 --> 00:12:54,670
+متر او القطر القطر لل pen hand مائة ملي مائة ملي
+
+134
+00:12:54,670 --> 00:12:57,910
+متر و المسافة بين ال center و ال center مائتين و
+
+135
+00:12:57,910 --> 00:13:04,090
+خمسين المسافة بين ال center و ال G اللي هي اللي هي
+
+136
+00:13:04,090 --> 00:13:07,870
+معطينيها مائتين و خمسين
+
+137
+00:13:11,660 --> 00:13:15,660
+دين كيلو ال .. المفروض أن أعطنيها دين كيلو ground
+
+138
+00:13:15,660 --> 00:13:18,260
+distance between the center of .. and the center
+
+139
+00:13:18,260 --> 00:13:24,720
+of .. اه the
+
+140
+00:13:24,720 --> 00:13:27,080
+distance between the center of Gajin pen and the
+
+141
+00:13:27,080 --> 00:13:29,140
+center of Dekang pen بتين و خمسين المسافة الكلية
+
+142
+00:13:29,140 --> 00:13:32,400
+the same falls at point ال .. اه أيوة هذه مائة ملي
+
+143
+00:13:32,400 --> 00:13:35,340
+هذه المسافة اللي هنا مائة ملي يعني هذه بتين و
+
+144
+00:13:35,340 --> 00:13:38,160
+خمسين و هذه مائة ملي طيب
+
+145
+00:13:42,060 --> 00:13:46,620
+Find equivalent dynamical system if only one of
+
+146
+00:13:46,620 --> 00:13:51,380
+the masses is located at a gadjon plane اذا حطيت
+
+147
+00:13:51,380 --> 00:13:55,660
+mass هنا هاي
+
+148
+00:13:55,660 --> 00:14:05,760
+M1 وmass هنا M2 يعني انا محتاج هاي عندى L2
+
+149
+00:14:10,520 --> 00:14:18,320
+و هاي ال واحد لأن ال واحد معطنيها ال واحد بالساوية
+
+150
+00:14:18,320 --> 00:14:24,020
+مائة ملي فور دنك كل ال system هيكون عنده ال واحد
+
+151
+00:14:24,020 --> 00:14:31,560
+ال اتنين بالساوية كج تربيع يعني ال اتنين هتساوية
+
+152
+00:14:31,560 --> 00:14:37,870
+مية و عشرة في مية و عشرة على ال واحد على ميةيعني
+
+153
+00:14:37,870 --> 00:14:43,010
+هتكون مية و واحد و عشرين معناته ال اتنين هتكون
+
+154
+00:14:43,010 --> 00:14:48,530
+احداش في احداش يعني انا عندي مية و عشرة في مية و
+
+155
+00:14:48,530 --> 00:14:55,230
+عشرة على مية سفر مع سفر احداش في احداش مية و واحد
+
+156
+00:14:55,230 --> 00:15:01,870
+و عشرين ملة يعني
+
+157
+00:15:01,870 --> 00:15:06,670
+ال اتنين مية و واحد و عشرين معناته M واحدهتكون
+
+158
+00:15:06,670 --> 00:15:15,010
+تساوي الاتنين في M على الواحد زاد الاتنين يعني
+
+159
+00:15:15,010 --> 00:15:20,050
+خدني أسميه ال capital سواء الواحد زاد الاتنين
+
+160
+00:15:20,050 --> 00:15:26,290
+هتساوي اللي هو الواحد مية زاد مية وواحد وعشرين
+
+161
+00:15:26,290 --> 00:15:33,210
+بسواء متين وواحد وعشرين مليمتر فانا بتقول M واحد
+
+162
+00:15:34,060 --> 00:15:38,680
+هتساوي ال الاتنين اللي هي مية و واحد و مية و واحد
+
+163
+00:15:38,680 --> 00:15:44,880
+و عشرين على ميتين و واحد و عشرين في الماس الكلية
+
+164
+00:15:44,880 --> 00:15:49,800
+اتنين هكون
+
+165
+00:15:49,800 --> 00:15:56,860
+دي مية و واحد و عشرين مية
+
+166
+00:15:56,860 --> 00:16:01,640
+و واحد و عشرين في اتنين تقسم
+
+167
+00:16:04,590 --> 00:16:12,390
+هتطلع ال M1 one point O تسعة خمسة kilogram معناته
+
+168
+00:16:12,390 --> 00:16:19,850
+ال M2 هتكون M minus M1 يعني اتنين ناقص واحد point
+
+169
+00:16:19,850 --> 00:16:26,870
+O تسعة خمسة تطلع
+
+170
+00:16:26,870 --> 00:16:30,110
+point تسعة تسعة مية و خمسة point تسعة و خمسة
+
+171
+00:16:30,110 --> 00:16:33,490
+kilogram هذا ال M2
+
+172
+00:16:41,520 --> 00:16:54,360
+طيب معناته a two mass system M1 قيمتها واحد point
+
+173
+00:16:54,360 --> 00:17:00,430
+zero تسعة خمسة kilogramأماس M2 كتلتها 0.905 كيلو
+
+174
+00:17:00,430 --> 00:17:06,550
+جرام ال M1 موجودة في الوسط على بعد 100 ملي و ال M2
+
+175
+00:17:06,550 --> 00:17:12,370
+على بعد أقل 2 ملي 121 ملي من الوسط بالجravity هذا
+
+176
+00:17:12,370 --> 00:17:15,010
+ال system of two masses is completely dynamically
+
+177
+00:17:15,010 --> 00:17:20,690
+equivalent to the disconnecting rod هذا المطلوب
+
+178
+00:17:20,690 --> 00:17:26,030
+الأول المطلوب
+
+179
+00:17:26,030 --> 00:17:30,570
+التانيإذا تم استخدام الـ connecting rod بكتلين إذا
+
+180
+00:17:30,570 --> 00:17:32,650
+تم استخدام الـ connecting rod بكتلين إذا تم
+
+181
+00:17:32,650 --> 00:17:37,310
+استخدام الـ connecting rod بكتلين إذا تم استخدام
+
+182
+00:17:37,310 --> 00:17:39,610
+الـ connecting rod بكتلين إذا تم استخدام الـ
+
+183
+00:17:39,610 --> 00:17:39,830
+connecting rod بكتلين إذا تم استخدام الـ
+
+184
+00:17:39,830 --> 00:17:40,090
+connecting rod بكتلين إذا تم استخدام الـ
+
+185
+00:17:40,090 --> 00:17:42,890
+connecting rod بكتلين إذا تم استخدام الـ
+
+186
+00:17:42,890 --> 00:17:42,930
+connecting rod بكتلين إذا تم استخدام الـ
+
+187
+00:17:42,930 --> 00:17:43,070
+connecting rod بكتلين إذا تم استخدام الـ
+
+188
+00:17:43,070 --> 00:17:43,070
+connecting rod بكتلين إذا تم استخدام الـ
+
+189
+00:17:43,070 --> 00:17:43,070
+connecting rod بكتلين إذا تم استخدام الـ
+
+190
+00:17:43,070 --> 00:17:43,630
+connecting rod بكتلين إذا تم استخدام الـ
+
+191
+00:17:43,630 --> 00:17:48,990
+connecting rod بكتلين إذا تم استخدام الـ
+
+192
+00:17:48,990 --> 00:17:53,110
+connecting
+
+193
+00:17:53,110 --> 00:17:55,330
+rod بكتلين
+
+194
+00:17:56,810 --> 00:17:59,430
+determine the correction couple applied to the
+
+195
+00:17:59,430 --> 00:18:02,810
+system to reduce it to a dynamically equivalent
+
+196
+00:18:02,810 --> 00:18:08,390
+system يعني بده T prime T prime
+
+197
+00:18:08,390 --> 00:18:11,890
+هو
+
+198
+00:18:11,890 --> 00:18:17,870
+بيحكي لي إذا أنا روحت بدل ما حطيت كتلة هنا كتلة
+
+199
+00:18:17,870 --> 00:18:23,480
+هنا لأ حطيت كتلة هنا mass هناو ماسين هو واحد عند
+
+200
+00:18:23,480 --> 00:18:30,060
+ال .. عند ال piston واحد عند ال crank طبعا في
+
+201
+00:18:30,060 --> 00:18:33,020
+الحالة هذه انا فرطت من غصب عنه حاطيت كتلة هنا عند
+
+202
+00:18:33,020 --> 00:18:38,240
+ال .. عند النقطة هذه معناته مش هيكون ال two mass
+
+203
+00:18:38,240 --> 00:18:41,980
+system equivalent هيكون هيتحقق الشرطين اللي هو M1
+
+204
+00:18:44,300 --> 00:18:58,570
+م1 زاد م3 بصوة M و M1L1 بصوة M3L3 هتحققهم واحد في
+
+205
+00:18:58,570 --> 00:19:04,210
+ال واحد تربيع زاد م تلاتة في ال تلاتة تربيع بتسويش
+
+206
+00:19:04,210 --> 00:19:09,530
+ال م كيجي تربيع معناته في ان انا باقوم باقوم باقوم
+
+207
+00:19:09,530 --> 00:19:10,690
+باقوم باقوم باقوم باقوم باقوم باقوم باقوم باقوم
+
+208
+00:19:10,690 --> 00:19:12,050
+باقوم باقوم باقوم باقوم باقوم باقوم باقوم باقوم
+
+209
+00:19:12,050 --> 00:19:12,510
+باقوم باقوم باقوم باقوم باقوم باقوم باقوم باقوم
+
+210
+00:19:12,510 --> 00:19:12,750
+باقوم باقوم باقوم باقوم باقوم باقوم باقوم باقوم
+
+211
+00:19:12,750 --> 00:19:15,950
+باقوم باقوم باقوم باقوم باقوم باقوم باقوم باقوم
+
+212
+00:19:15,950 --> 00:19:24,910
+باق
+
+213
+00:19:26,870 --> 00:19:41,530
+فى L واحد فى L small minus L capital فى Alpha احنا
+
+214
+00:19:41,530 --> 00:19:46,650
+already حكينا ال L capital بيستوى
+
+215
+00:19:46,650 --> 00:19:51,570
+من مطلوسة L واحد زي L اتنين اللى هو طالع مننا متين
+
+216
+00:19:51,570 --> 00:19:58,410
+واحد عشرين مليو ال ال small هي المسافة بين ال two
+
+217
+00:19:58,410 --> 00:20:05,510
+centers اللي هي مائتين و خمسين مليون يعني
+
+218
+00:20:05,510 --> 00:20:12,690
+ال T prime هتكون سواء ال M اللي هي ال M اتنين كيلو
+
+219
+00:20:12,690 --> 00:20:20,170
+في ال ال واحد اللي هو مية مية
+
+220
+00:20:22,220 --> 00:20:30,600
+طبعا هحاول الى متر هقسم على الف zero point one في
+
+221
+00:20:30,600 --> 00:20:36,600
+ال ال small اللي هو متين و خمسين point اتنين خمسة
+
+222
+00:20:36,600 --> 00:20:41,820
+minus ال capital point اتنين اتنين واحد في ال الف
+
+223
+00:20:41,820 --> 00:20:47,440
+تلاتة و عشرين الف نحسب
+
+224
+00:20:51,700 --> 00:21:00,080
+point two خمسة ناقص point اتنين اتنين واحد يساوي
+
+225
+00:21:00,080 --> 00:21:09,740
+في اتنين في point one في تلاتة و عشرين الف بطلع I
+
+226
+00:21:09,740 --> 00:21:13,680
+need a correction قبل قيمته مية و تلاتة و تلاتين
+
+227
+00:21:13,680 --> 00:21:15,620
+point four
+
+228
+00:21:18,850 --> 00:21:23,490
+النيوتن متر فال correction couple هتكون قيمته 133
+
+229
+00:21:23,490 --> 00:21:32,750
+.4 نيوتن متر طيب
+
+230
+00:21:32,750 --> 00:21:42,750
+احنا واقعيا في تصميم المحركات باستبدلش
+
+231
+00:21:43,510 --> 00:21:47,590
+الـ connecting rod بس تبدلش ال connecting rod بماس
+
+232
+00:21:47,590 --> 00:21:54,070
+هنا وماس هنا it does not make sense بس تبدلها بماس
+
+233
+00:21:54,070 --> 00:22:00,210
+هنا عند ال piston وماس عند الكرانك وماس عند
+
+234
+00:22:00,210 --> 00:22:04,310
+الكرانك يعني عندي هنا two mass system معناته ال
+
+235
+00:22:04,310 --> 00:22:09,250
+masses عند اللي عند ال piston وعند الكرانك they
+
+236
+00:22:09,250 --> 00:22:12,680
+are notin complete dynamic equivalent to the
+
+237
+00:22:12,680 --> 00:22:16,620
+original mass of the connecting rod ليش؟ انا عند
+
+238
+00:22:16,620 --> 00:22:19,160
+ال connecting rod بتحرك general plan motion اللي
+
+239
+00:22:19,160 --> 00:22:23,180
+في عنده translation و rotation فال forces النهجة
+
+240
+00:22:23,180 --> 00:22:28,280
+عنه انا بده احاول او ال inertia forces بده انقلها
+
+241
+00:22:28,280 --> 00:22:35,390
+للاطراف عند ال pistonوعند ال connecting rod عشان
+
+242
+00:22:35,390 --> 00:22:40,570
+هي انا عملت two mass system لهذا السبب بدي اخد ال
+
+243
+00:22:40,570 --> 00:22:43,710
+effect بتاع ال connecting rod اللي انا الاماكن
+
+244
+00:22:43,710 --> 00:22:48,140
+اللي بتهمني انا عند ال pistonوانا عند الكرانك فانا
+
+245
+00:22:48,140 --> 00:22:54,240
+هضطر احط mass عند ال .. استبدل ال mass تحت ال
+
+246
+00:22:54,240 --> 00:22:57,720
+connecting rod كأنه two masses كأنه mass at the
+
+247
+00:22:57,720 --> 00:23:02,160
+piston this pin و mass عند الكرانك هنا يعني mass
+
+248
+00:23:02,160 --> 00:23:09,540
+عند P و mass عند C طبعا
+
+249
+00:23:09,540 --> 00:23:17,670
+ال massالـ masses at P and C مركز تقالهم أكيد NG
+
+250
+00:23:17,670 --> 00:23:22,230
+والمجموعة ال masses عند P وC أكيد نفس ال mass
+
+251
+00:23:22,230 --> 00:23:28,170
+بتاعة الجي لكن ال amount of inertia ل ال two
+
+252
+00:23:28,170 --> 00:23:32,190
+masses عند P وC بيتسويش amount of inertia عند الجي
+
+253
+00:23:42,780 --> 00:23:50,020
+لأن ال inertia force due to the mass at C acts
+
+254
+00:23:50,020 --> 00:23:55,820
+radially outward، لأن عندي هنا الكرانك بتدور،
+
+255
+00:23:55,820 --> 00:24:01,900
+فتكون في قوة طرد مركزي لبرا، بتكون قوة طرد مركزي
+
+256
+00:24:02,850 --> 00:24:06,490
+لبره لان قوة الطرد المركزي لبره لان عندي mass هنا
+
+257
+00:24:06,490 --> 00:24:10,970
+و mass هنا قوة الطرد المركزي ال inertia force اللي
+
+258
+00:24:10,970 --> 00:24:17,890
+omega square بتعمل moment؟ مابتعمل moment معناته
+
+259
+00:24:17,890 --> 00:24:24,830
+ال mass and c has no effectعلى ال torque اللي على
+
+260
+00:24:24,830 --> 00:24:30,810
+الكرانك لأن هو بتأثر باتجاه المركز وبتقلفش الهدراء
+
+261
+00:24:30,810 --> 00:24:36,550
+فبتعملش moment على الكرانك معناته أول نتيجة وصلنا
+
+262
+00:24:36,550 --> 00:24:42,030
+لها انه ال mass احنا اتفقنا ان نحط ان نبدل الكتلة
+
+263
+00:24:42,030 --> 00:24:44,790
+الكليه ده ال connected rod بكتلة عند ال piston
+
+264
+00:24:45,120 --> 00:24:50,140
+الكتلة عند C يعني عند الكرانك الكتلة عند C او ال
+
+265
+00:24:50,140 --> 00:24:55,860
+inertia force due to the mass at C acts outward
+
+266
+00:24:55,860 --> 00:24:59,620
+باتجاه مركز الدوران وبتالي بتعملش moment وبتالي
+
+267
+00:24:59,620 --> 00:25:06,540
+مابتأثرش على ال torque مابتأثر على ال torque
+
+268
+00:25:06,540 --> 00:25:14,420
+لأن mass of connecting rod at Pبدي أسميها MP
+
+269
+00:25:14,420 --> 00:25:29,220
+بسميها MP هي
+
+270
+00:25:29,220 --> 00:25:34,980
+عند ال .. عند ال piston هتكون MP هتكون عند ال ..
+
+271
+00:25:34,980 --> 00:25:40,080
+ال .. ال MP هتكون MP
+
+272
+00:25:41,210 --> 00:25:45,270
+هتكون المسافة هذه على المسافة الكلية في ال mass
+
+273
+00:25:45,270 --> 00:25:48,910
+المسافة هذه تبقى عبارة عن L نقص L واحد يعني ال
+
+274
+00:25:48,910 --> 00:25:56,570
+mass at P دي سمي M at P هتكون
+
+275
+00:25:56,570 --> 00:26:01,790
+L minus L واحد على L في ال mass بتاعة ال
+
+276
+00:26:01,790 --> 00:26:06,570
+connecting rod الآن
+
+277
+00:26:06,570 --> 00:26:09,270
+in addition in addition عند ال piston
+
+278
+00:26:12,310 --> 00:26:18,510
+الـ piston له كتلة الـ piston له كتلة معناه ال
+
+279
+00:26:18,510 --> 00:26:22,190
+total mass الكلية الحقيقية هنا ليس فقط كتلة ال
+
+280
+00:26:22,190 --> 00:26:25,610
+piston وانما كتلة ال piston وجزء اللي أثره جاي من
+
+281
+00:26:25,610 --> 00:26:29,690
+ال connecting rod اللي هي M1 معناه ال total mass
+
+282
+00:26:29,690 --> 00:26:36,050
+at the piston هكون M total at the piston هتكون
+
+283
+00:26:36,050 --> 00:26:43,720
+اللي هي ال MRكتة ال piston و ملحقاته زاد L minus L
+
+284
+00:26:43,720 --> 00:26:52,360
+واحد على L في MC معناته ال inertia force عند ال
+
+285
+00:26:52,360 --> 00:26:57,320
+piston اتغيرت حسكون
+
+286
+00:26:57,320 --> 00:27:06,530
+عند ال Fi عند ال piston اللي هي ال MRزاد ال L-L1
+
+287
+00:27:06,530 --> 00:27:11,170
+على L في MC في ال acceleration بتاعة البسطون
+
+288
+00:27:11,170 --> 00:27:15,070
+والacceleration بتاعة البسطون اذا فاكرين ال AR
+
+289
+00:27:15,070 --> 00:27:21,830
+بالساوية Omega Square R في Cos Theta زاد Cos 2
+
+290
+00:27:21,830 --> 00:27:29,340
+Theta على Nمعناته ال inertia force هتكون ال mass
+
+291
+00:27:29,340 --> 00:27:32,500
+هدى في ال extension على ال piston يعني هتصفى ال FI
+
+292
+00:27:32,500 --> 00:27:35,600
+بالصوابع mr زي L minus L واحدة ل L فمس T في M
+
+293
+00:27:35,600 --> 00:27:50,380
+مجزرة R في Cos θ زي Cos 2θ على N ال
+
+294
+00:27:50,380 --> 00:27:55,580
+inertia force هدىالـ inertia force نرجع نرجع لورا
+
+295
+00:27:55,580 --> 00:27:59,840
+عشان نتذكر نرجع
+
+296
+00:27:59,840 --> 00:28:10,140
+ال force analysis نرجع ال force analysis احنا
+
+297
+00:28:10,140 --> 00:28:14,140
+حكينا ال torque due to the piston effort ال torque
+
+298
+00:28:14,140 --> 00:28:28,620
+بيساوي ف ال P في R في Sinثيتا زائد صين two theta
+
+299
+00:28:28,620 --> 00:28:33,920
+على اتنين N خلاني
+
+300
+00:28:33,920 --> 00:28:35,040
+اشوف نرجع بعدين
+
+301
+00:28:55,150 --> 00:29:01,410
+ماشي المعنى هو ال torque due to inertia force ال
+
+302
+00:29:01,410 --> 00:29:12,230
+torque due to inertia force هيكون ال fi في R يعني
+
+303
+00:29:12,230 --> 00:29:19,910
+انا عامل analogy في هنا sin θزاد sine two theta
+
+304
+00:29:19,910 --> 00:29:24,690
+على اتنين اللي هي يعني نفس هذه المعادلة هذه على
+
+305
+00:29:24,690 --> 00:29:28,710
+فكرة نفس ال term لأنه
+
+306
+00:29:28,710 --> 00:29:32,970
+انا عندي ال N square هتكون أكتر من sine square
+
+307
+00:29:32,970 --> 00:29:35,630
+فهتطلع هتطلع هتصفي برا في الآخر هذه هتصير على
+
+308
+00:29:35,630 --> 00:29:39,590
+اتنين N يعني هذه المعادلة نفس هذه المعادلة تقريبا
+
+309
+00:29:44,900 --> 00:29:47,260
+طبعا in deriving the above equation of the torque
+
+310
+00:29:47,260 --> 00:29:50,140
+exerted on the crankshaft is assumed that one of
+
+311
+00:29:50,140 --> 00:29:52,780
+the two masses is placed at C and the other at P
+
+312
+00:29:52,780 --> 00:29:57,880
+المعادلة السابقة المعادلة
+
+313
+00:29:57,880 --> 00:30:02,800
+السابقة اللي بتحكي ال torque due to the inertiadue
+
+314
+00:30:02,800 --> 00:30:06,460
+to the inertia of the masses عند ال piston اللي هي
+
+315
+00:30:06,460 --> 00:30:10,540
+جزء من ال mass ال mass بتاعة ال piston و ملحقاته و
+
+316
+00:30:10,540 --> 00:30:13,660
+ال mass اللي جاية due to the effect of the
+
+317
+00:30:13,660 --> 00:30:22,090
+crankshaft M1 هتكون Fi فيR sin θ زي sin θ على
+
+318
+00:30:22,090 --> 00:30:24,830
+اتنين جزء تربيه لان تربيه ناقص sin تربيه تتا نفس
+
+319
+00:30:24,830 --> 00:30:29,250
+المعادلة هذه ان الان تربيه بتكون اكبر بكتير من ال
+
+320
+00:30:29,250 --> 00:30:32,350
+sin تربيه عشان انك بيصير انك تطلع بيصير ان بيصير
+
+321
+00:30:32,350 --> 00:30:38,770
+sin تربيه تتا على ان نفس العلاقة هذه تقريبا
+
+322
+00:30:38,770 --> 00:30:41,950
+this assumption does not satisfy the condition for
+
+323
+00:30:41,950 --> 00:30:44,750
+kinematical equivalent system of a rigid body احنا
+
+324
+00:30:44,750 --> 00:30:52,100
+لما حطينا كتلةحطينا كتلة هين و كتلة هين صح ال some
+
+325
+00:30:52,100 --> 00:30:55,440
+of the two masses equal the mass of the connecting
+
+326
+00:30:55,440 --> 00:30:59,620
+rod و صح مركز ثقة لل two masses is the same as
+
+327
+00:30:59,620 --> 00:31:03,340
+مركز ثقة لل connecting rod لكن ال condition بتاع
+
+328
+00:31:03,340 --> 00:31:05,880
+الموت في نيرشه ماتحققش يعني الموت في نيرشه للماس
+
+329
+00:31:05,880 --> 00:31:12,320
+at P و الماس at C حوالين G بيسويش الموت في نيرشه
+
+330
+00:31:12,320 --> 00:31:13,980
+لجسم حوالين G
+
+331
+00:31:19,000 --> 00:31:26,600
+ال condition هذا ماتحققش to compensate for it عشان
+
+332
+00:31:26,600 --> 00:31:31,660
+أحل الإشكال a correction torque is necessary whose
+
+333
+00:31:31,660 --> 00:31:36,600
+value is given by ال
+
+334
+00:31:36,600 --> 00:31:41,300
+correction حكينا ال correction torque سابقا حكينا
+
+335
+00:31:41,300 --> 00:31:43,660
+T prime بالساوي
+
+336
+00:31:45,530 --> 00:31:49,430
+مس في الواحد في ال minus ال capital في ال alpha
+
+337
+00:31:49,430 --> 00:31:52,690
+بتاعة ال connecting rod وال ال capital اللي هي كجي
+
+338
+00:31:52,690 --> 00:31:55,950
+تربيه زاد ال واحد تربيه على ال واحد وال alpha بي
+
+339
+00:31:55,950 --> 00:31:58,210
+سي سابق ان احنا عارفين من ال minus omega square
+
+340
+00:31:58,210 --> 00:32:01,550
+sin theta على n ال alpha بتاعة ال connecting rod
+
+341
+00:32:01,550 --> 00:32:06,390
+هي minus omega square sin theta على n
+
+342
+00:32:13,740 --> 00:32:20,100
+بدأ احط correction couple ال correction couple
+
+343
+00:32:20,100 --> 00:32:27,340
+ممكن اعتبره كأنه ازدواج ازدواج مكوّن من two forces
+
+344
+00:32:27,340 --> 00:32:37,040
+one force at c one
+
+345
+00:32:37,040 --> 00:32:43,200
+force at c نسميها fy و another force
+
+346
+00:32:45,830 --> 00:32:54,710
+عند P F Y يعني هاي P وهاي
+
+347
+00:32:54,710 --> 00:33:00,670
+C واستعادت
+
+348
+00:33:00,670 --> 00:33:07,730
+عن استعادت عن ال correction couple ب torque ب two
+
+349
+00:33:07,730 --> 00:33:11,310
+forces F Y عكس بعض F Y هذ الأسفل و هذ الأعلى بيعني
+
+350
+00:33:11,310 --> 00:33:13,470
+هات ال T Prime هتساوي
+
+351
+00:33:17,580 --> 00:33:23,060
+الـ T Prime اللي هو الـ Correction Couple T Prime
+
+352
+00:33:23,060 --> 00:33:37,580
+بيستوى FY في PN PN المسافة هذه N FY
+
+353
+00:33:37,580 --> 00:33:41,800
+في PN ممكن
+
+354
+00:33:41,800 --> 00:33:42,660
+احكي انه FY
+
+355
+00:33:47,410 --> 00:33:54,430
+بيستوى T' على PN يعني انا في الآخر ال Turks هتتحول
+
+356
+00:33:54,430 --> 00:33:58,250
+ل forces تتحول ل forces one force here and another
+
+357
+00:33:58,250 --> 00:34:12,770
+force here يعني FY بيستوى T' على PN مانعته
+
+358
+00:34:12,770 --> 00:34:16,320
+ال correction coupleبيطالع ليه two forces one
+
+359
+00:34:16,320 --> 00:34:24,440
+force لتحت عند C و one force لعلى عند P و ال FY هي
+
+360
+00:34:24,440 --> 00:34:28,940
+هتكون سواء ال correction تقرر T prime على PN الان
+
+361
+00:34:28,940 --> 00:34:34,220
+عند C ال
+
+362
+00:34:34,220 --> 00:34:48,230
+FY عند C ال FY هذابتعمل moment هذه O هذه
+
+363
+00:34:48,230 --> 00:34:56,230
+N وهذه FY بتعمل moment او torque T عند C على
+
+364
+00:34:56,230 --> 00:35:02,570
+الكرانك بصوة FY في
+
+365
+00:35:02,570 --> 00:35:09,970
+N O احنا حكينا ال FY عبارة عن T Prime على P N يعني
+
+366
+00:35:09,970 --> 00:35:20,780
+N Oعلى P N و N O N
+
+367
+00:35:20,780 --> 00:35:23,600
+و على فكرة هذه الزاوية في الكتابة غلط هذه ثتا وهذه
+
+368
+00:35:23,600 --> 00:35:30,540
+صح هذه ثتا ال N O عبارة عن R Cos Theta ال N O
+
+369
+00:35:30,540 --> 00:35:37,680
+عبارة عن T Prime في
+
+370
+00:35:37,680 --> 00:35:39,700
+R Cos Theta
+
+371
+00:35:43,060 --> 00:35:51,600
+و ال PN عبارة عن L Cos Phi على L Cos Phi يعني
+
+372
+00:35:51,600 --> 00:36:04,900
+هيكون ال TC سوى T Prime في Cos Theta على N Cos Phi
+
+373
+00:36:05,850 --> 00:36:10,190
+و احنا سابقا جبنا علاقة بين between between
+
+374
+00:36:10,190 --> 00:36:12,950
+between between between between between between
+
+375
+00:36:12,950 --> 00:36:12,970
+between between between between between between
+
+376
+00:36:12,970 --> 00:36:15,010
+between between between between between between
+
+377
+00:36:15,010 --> 00:36:18,350
+between between between between between between
+
+378
+00:36:18,350 --> 00:36:21,550
+between between between
+
+379
+00:36:21,550 --> 00:36:21,550
+between between between between between between
+
+380
+00:36:21,550 --> 00:36:21,550
+between between between between between between
+
+381
+00:36:21,550 --> 00:36:21,550
+between between between between between between
+
+382
+00:36:21,550 --> 00:36:21,570
+between between between between between between
+
+383
+00:36:21,570 --> 00:36:22,590
+between between between between between between
+
+384
+00:36:22,590 --> 00:36:23,330
+between between between between between between
+
+385
+00:36:23,330 --> 00:36:23,330
+between between between between between between
+
+386
+00:36:23,330 --> 00:36:23,350
+between between between between between between
+
+387
+00:36:23,350 --> 00:36:23,350
+between between between between between between
+
+388
+00:36:23,350 --> 00:36:23,350
+between between between between between between
+
+389
+00:36:23,350 --> 00:36:23,350
+between between between between between between
+
+390
+00:36:23,350 --> 00:36:23,350
+between between between between between between
+
+391
+00:36:23,350 --> 00:36:23,350
+between between between between between between
+
+392
+00:36:23,350 --> 00:36:23,350
+between between between between between between
+
+393
+00:36:23,350 --> 00:36:23,350
+between between between between between between
+
+394
+00:36:23,350 --> 00:36:23,350
+between between between between between between
+
+395
+00:36:23,350 --> 00:36:23,350
+between between between between between between
+
+396
+00:36:23,350 --> 00:36:23,350
+between between between between between between
+
+397
+00:36:23,350 --> 00:36:23,350
+between between between between between between
+
+398
+00:36:23,350 --> 00:36:23,350
+between between between between between between
+
+399
+00:36:23,350 --> 00:36:23,350
+between between between between between between
+
+400
+00:36:23,350 --> 00:36:23,350
+between between between between between between
+
+401
+00:36:23,350 --> 00:36:23,350
+between between between between between between
+
+402
+00:36:23,350 --> 00:36:23,350
+between between between between between between
+
+403
+00:36:23,350 --> 00:36:23,350
+between between between between between between
+
+404
+00:36:23,350 --> 00:36:23,350
+between between between between between between
+
+405
+00:36:23,350 --> 00:36:23,350
+between between between between between between
+
+406
+00:36:23,350 --> 00:36:23,350
+between between between between between between
+
+407
+00:36:23,350 --> 00:36:23,350
+between between between between between between
+
+408
+00:36:23,350 --> 00:36:30,250
+between between between
+
+409
+00:36:30,250 --> 00:36:30,250
+between between between
+
+410
+00:36:33,440 --> 00:36:40,440
+بساوة MC في الواحد في L minus L capital في Alpha
+
+411
+00:36:40,440 --> 00:36:46,440
+PC وAlpha ال connecting rod بساوة minus Omega
+
+412
+00:36:46,440 --> 00:36:55,400
+square sine theta على N بنعوض عن T prime وبعوض عن
+
+413
+00:36:55,400 --> 00:37:03,650
+Alpha PCبتصفى عند ال TC بتساوي minus MC في L واحد
+
+414
+00:37:03,650 --> 00:37:07,290
+في L small minus L capital في omega square sin two
+
+415
+00:37:07,290 --> 00:37:17,470
+theta على اتنين and تربيع طيب
+
+416
+00:37:17,470 --> 00:37:24,090
+الان نرجع تانى رجزوا كويس
+
+417
+00:37:27,060 --> 00:37:31,280
+احنا حكينا استبدلنا
+
+418
+00:37:31,280 --> 00:37:34,900
+ال connecting rod ب two masses one mass حطيناها
+
+419
+00:37:34,900 --> 00:37:40,280
+عند P we already take care of و one mass حطيناها
+
+420
+00:37:40,280 --> 00:37:51,400
+عند C ال mass عند C هسميها M3 ال mass عند C او
+
+421
+00:37:51,400 --> 00:37:52,400
+هسميها M2
+
+422
+00:37:55,200 --> 00:37:59,680
+بتساوي M بتاعة ال connecting rod في L واحد على L
+
+423
+00:37:59,680 --> 00:38:04,160
+الان
+
+424
+00:38:04,160 --> 00:38:11,840
+ال mass عند ال connecting rod هاي ال mass هتكون
+
+425
+00:38:11,840 --> 00:38:18,770
+لها وزن M اتنين G المعنى انت هتعمل torqueهتعمل ال
+
+426
+00:38:18,770 --> 00:38:28,290
+torque M2G في المسافة في NO ال torque due to
+
+427
+00:38:28,290 --> 00:38:33,790
+..معناته ال T due to ال weight تاع ال mass عند C
+
+428
+00:38:33,790 --> 00:38:43,970
+هتكون minus M2G في ال NO هتكون minus M2G ال NO
+
+429
+00:38:43,970 --> 00:38:52,430
+عبارة عن R cosineR Cos Theta R Cos Theta و M2
+
+430
+00:38:52,430 --> 00:39:02,150
+عبارة عن Minus MC L1 على L في G في R Cos Theta
+
+431
+00:39:02,150 --> 00:39:11,190
+يعني هكون Minus MC L1 G في Cos Theta على N
+
+432
+00:39:18,470 --> 00:39:21,150
+الـ total torque exerted in the torque due to
+
+433
+00:39:21,150 --> 00:39:24,890
+inertia to the inertia of the moving parts هيكون
+
+434
+00:39:24,890 --> 00:39:33,730
+ti total torque هيكون
+
+435
+00:39:33,730 --> 00:39:38,630
+واحد due to inertia زاد واحد due to correction
+
+436
+00:39:38,630 --> 00:39:45,810
+ناتج عن fy tc زاد واحد ناتج عن الmass عند c
+
+437
+00:39:49,160 --> 00:39:50,960
+معناته خلينا نجمل، نرجع
+
+438
+00:40:08,820 --> 00:40:11,880
+الـ Connecting Rod أنا استبدلت بكتلة تانية كتلة عن
+
+439
+00:40:11,880 --> 00:40:18,580
+P و كتلة عن C الكتلة عن P و كتلة عن C ليست كتلة
+
+440
+00:40:18,580 --> 00:40:20,900
+كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة
+
+441
+00:40:20,900 --> 00:40:24,300
+كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة
+
+442
+00:40:24,300 --> 00:40:24,300
+كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة
+
+443
+00:40:24,300 --> 00:40:24,300
+كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة
+
+444
+00:40:24,300 --> 00:40:24,760
+كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة
+
+445
+00:40:24,760 --> 00:40:33,060
+كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة كتلة
+
+446
+00:40:35,580 --> 00:40:42,900
+اللي هي هتكون MCL1L-L كابيتال في Alpha PC الآن ال
+
+447
+00:40:42,900 --> 00:40:47,620
+correction torque هستبدل two forces force fy هنا و
+
+448
+00:40:47,620 --> 00:40:52,980
+fy كابيتال يعني هكون fy في المسافة هذه في PN
+
+449
+00:40:52,980 --> 00:40:58,960
+هتعطيني اللي هو ال torque T prime تي برايم الان
+
+450
+00:40:58,960 --> 00:41:07,260
+على ال crank ال fy تعمل torqueالو fy في no تي سي
+
+451
+00:41:07,260 --> 00:41:13,200
+تي سي جاية من correction torque او
+
+452
+00:41:13,200 --> 00:41:17,760
+في torque due to inertia forces
+
+453
+00:41:18,780 --> 00:41:24,660
+التي بتساوي FI في R واحد Sine Theta Sine Two Theta
+
+454
+00:41:24,660 --> 00:41:27,220
+زاد على اتنين جزير الان تربية minus Sine تربية
+
+455
+00:41:27,220 --> 00:41:34,120
+Theta وال FI اللي هي MR زاد L مانقس L واحد على L
+
+456
+00:41:34,120 --> 00:41:35,080
+في MC فL مانقس L واحد على L في MC فL مانقس L واحد
+
+457
+00:41:35,080 --> 00:41:36,420
+على L في MC فL مانقس R في Cosine Theta زاد Cosine
+
+458
+00:41:36,420 --> 00:41:41,600
+Theta على N وفي ال mass اللي حاططها عند C اللي هي
+
+459
+00:41:41,600 --> 00:41:47,000
+بتساوي L واحد على L في في ال mass الكلية بتعمل
+
+460
+00:41:47,000 --> 00:41:51,940
+برضهTorque قيمته W اله minus MC في G في L واحدة ل
+
+461
+00:41:51,940 --> 00:41:55,500
+N Cos Theta منعته ال total torque اللي هو اللي هو
+
+462
+00:41:55,500 --> 00:41:58,640
+مكون تالتة أجزاء ال torque due to inertia force
+
+463
+00:41:58,640 --> 00:42:01,980
+يعني ال torque due to correction couple هو ال
+
+464
+00:42:01,980 --> 00:42:06,340
+torque التالتة due to ال weight عند الماس ال M2
+
+465
+00:42:06,340 --> 00:42:15,700
+عند النقطة C طيب
+
+466
+00:42:23,330 --> 00:42:27,630
+انحل ال example هنحل
+
+467
+00:42:27,630 --> 00:42:40,930
+ال example بعدين ننهي the
+
+468
+00:42:40,930 --> 00:42:44,290
+following data refer to a steam engine معطيني ال
+
+469
+00:42:44,290 --> 00:42:49,170
+diameter لل pistol دي capital بس هو متين و أربعين
+
+470
+00:42:49,170 --> 00:42:57,940
+ملي مترالـ stroke الـ S مقعدين على ستمية ملي متر
+
+471
+00:42:57,940 --> 00:43:04,120
+بعدين ال length of connecting rod القلب واحد و نص
+
+472
+00:43:04,120 --> 00:43:08,640
+متر mass
+
+473
+00:43:08,640 --> 00:43:15,380
+of reciprocating parts MR بتساوي تلتمية كيلو جرام
+
+474
+00:43:17,450 --> 00:43:23,930
+massive connecting rod MC بتساوي متين و خمسين
+
+475
+00:43:23,930 --> 00:43:33,030
+kilogram ال speed ال N معطنية مية و خمسة و عشرين
+
+476
+00:43:33,030 --> 00:43:40,870
+rpm ال center of connecting rod from a crank pin
+
+477
+00:43:40,870 --> 00:43:43,870
+from crank pin بتساوي خمس مية
+
+478
+00:43:47,540 --> 00:43:53,340
+التلاتة بالسواء خمسمية مليمتر
+
+479
+00:43:53,340 --> 00:43:58,640
+الراديوس الجيراتيشن of the connecting rod about an
+
+480
+00:43:58,640 --> 00:44:00,620
+axis through its gravity بالسواء ستمية و خمسين
+
+481
+00:44:00,620 --> 00:44:07,140
+مليمتر ال KG بالسواء
+
+482
+00:44:07,140 --> 00:44:11,240
+ستمية و خمسين مليمتر
+
+483
+00:44:15,580 --> 00:44:17,720
+Determine the magnitude and direction of torque
+
+484
+00:44:17,720 --> 00:44:19,800
+exerted on the crankshaft when the crank has
+
+485
+00:44:19,800 --> 00:44:23,580
+turned through 10 degrees from inner dead center
+
+486
+00:44:23,580 --> 00:44:31,860
+توجد ايش؟ الـ total torque هذا
+
+487
+00:44:31,860 --> 00:44:33,500
+صحيح المباشر يعني انا شايفه
+
+488
+00:44:38,130 --> 00:44:40,810
+طيب the total magnitude and direction of torque
+
+489
+00:44:40,810 --> 00:44:42,950
+exerted on the crankshaft when the crankshaft has
+
+490
+00:44:42,950 --> 00:44:45,510
+turned through 30 degrees from inner dead center
+
+491
+00:44:45,510 --> 00:44:54,250
+طيب هحكي هنا ال total torque هكون T inertia زاد ال
+
+492
+00:44:54,250 --> 00:45:03,730
+TC زاد ال TW طيب
+
+493
+00:45:03,730 --> 00:45:07,050
+ناخد واحد واحد
+
+494
+00:45:13,090 --> 00:45:19,010
+الـ T I ال
+
+495
+00:45:19,010 --> 00:45:31,250
+T I بيستوى ال F I في R في SIN ثيتا زاد SIN two
+
+496
+00:45:31,250 --> 00:45:37,390
+theta على اتنين N طيب
+
+497
+00:45:37,390 --> 00:45:40,590
+ال
+
+498
+00:45:40,590 --> 00:45:41,250
+F I
+
+499
+00:45:46,030 --> 00:45:51,730
+بتساوى MR زائد
+
+500
+00:45:51,730 --> 00:46:01,450
+L minus L واحد على L في MC في
+
+501
+00:46:01,450 --> 00:46:09,650
+Omega Square R في Cos Theta زائد Cos Two Theta على
+
+502
+00:46:09,650 --> 00:46:10,250
+N
+
+503
+00:46:15,060 --> 00:46:20,840
+وهو معطيني ال ال ال
+
+504
+00:46:20,840 --> 00:46:25,040
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+505
+00:46:25,040 --> 00:46:27,240
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+506
+00:46:27,240 --> 00:46:31,160
+ال ال ال ال ال ال ال ال
+
+507
+00:46:31,160 --> 00:46:36,680
+ال ال ال ال ال ال ال ال ال ال
+
+508
+00:46:36,680 --> 00:46:36,680
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+509
+00:46:36,680 --> 00:46:43,160
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+510
+00:46:43,160 --> 00:46:43,160
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+511
+00:46:43,160 --> 00:46:43,160
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+512
+00:46:43,160 --> 00:46:43,160
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+513
+00:46:43,160 --> 00:46:43,160
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+514
+00:46:43,160 --> 00:46:43,160
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+515
+00:46:43,160 --> 00:46:43,200
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+516
+00:46:43,200 --> 00:46:43,200
+ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال
+
+517
+00:46:43,200 --> 00:46:48,030
+ال ال ال ال ال ال ال ال ال الهتكون مية و خمسة و
+
+518
+00:46:48,030 --> 00:46:52,290
+عشرين اتنين باي على ستين
+
+519
+00:47:13,310 --> 00:47:19,970
+ثيتا تلاتين درجة ثيتا تلاتين درجة ثيتا تلاتين درجة
+
+520
+00:47:19,970 --> 00:47:19,990
+ثيتا تلاتين درجة ثيتا تلاتين درجة ثيتا تلاتين درجة
+
+521
+00:47:19,990 --> 00:47:24,550
+ثيتا
+
+522
+00:47:24,550 --> 00:47:29,090
+تلاتين درجة ثيتا تلاتين درجة ثيتا تلاتين درجة ثيتا
+
+523
+00:47:29,090 --> 00:47:29,470
+تلاتين درجة ثيتا تلاتين درجة ثيتا تلاتين درجة ثيتا
+
+524
+00:47:29,470 --> 00:47:29,470
+تلاتين درجة ثيتا تلاتين درجة ثيتا تلاتين درجة ثيتا
+
+525
+00:47:29,470 --> 00:47:29,470
+تلاتين درجة ثيتا تلاتين درجة ثيتا تلاتين درجة ثيتا
+
+526
+00:47:29,470 --> 00:47:37,470
+تلاتين درجة ثيتا تلاتين درجة ثيتا تلاتين درجة ثيتا
+
+527
+00:47:37,470 --> 00:47:48,010
+تلاتين درجة ثيتا تعلى الف و خمسمية في ال mc بتاعة
+
+528
+00:47:48,010 --> 00:47:55,530
+ال connecting rod في متين و خمسين في
+
+529
+00:47:55,530 --> 00:47:57,930
+omega نحسبها مية و خمس و عشرين
+
+530
+00:48:14,530 --> 00:48:24,210
+تلتاش point او تمانية radian per second في تلتاش
+
+531
+00:48:24,210 --> 00:48:30,170
+point او تمانية تربية في ال crank انا عندي ال
+
+532
+00:48:30,170 --> 00:48:34,870
+stroke اللي ال R هتكون S على اتنين هتكون تلت ميت
+
+533
+00:48:34,870 --> 00:48:38,210
+ملي هتكون
+
+534
+00:48:38,210 --> 00:48:39,150
+تلت ميت ملي
+
+535
+00:48:42,770 --> 00:48:50,190
+في تلاتة من عشرة يعني هحكي في تلاتة من عشرة في
+
+536
+00:48:50,190 --> 00:48:59,470
+cosine التلاتين زائد cosine الستين على اتنين في ان
+
+537
+00:48:59,470 --> 00:49:06,710
+ان ان شو الساوية ان بالساوية ال على ار اللي عندك
+
+538
+00:49:06,710 --> 00:49:11,430
+الف خمسمية والار تلاتمية يعني خمسة
+
+539
+00:49:22,460 --> 00:49:32,540
+طيب و منها بحسب ال FI جرد ماحس ال FI بحسب ال TI FI
+
+540
+00:49:32,540 --> 00:49:36,120
+عندي ال R ال FI صارت معروفة ال R عندي تلتمية و
+
+541
+00:49:36,120 --> 00:49:43,940
+الثالثة تلتين بحسب ايش ال TI طيب
+
+542
+00:49:43,940 --> 00:49:47,480
+اللي
+
+543
+00:49:47,480 --> 00:49:50,600
+عن ال TC نيجي لل TC
+
+544
+00:49:54,750 --> 00:50:05,270
+الـ TC الـ
+
+545
+00:50:05,270 --> 00:50:16,970
+TC بتساوي minus MC في L واحد في L minus L capital
+
+546
+00:50:16,970 --> 00:50:21,510
+omega square sine two theta
+
+547
+00:50:24,320 --> 00:50:30,560
+على اتنين ان تربية ال MC معروفة ال L واحد معروفة
+
+548
+00:50:30,560 --> 00:50:34,940
+وال L كبير معروفة وال L small اه ال L كابيتال اللي
+
+549
+00:50:34,940 --> 00:50:41,080
+هنحسبه هو ال L كابيتال ال L كابيتل بالساوي KG
+
+550
+00:50:41,080 --> 00:50:48,620
+تربية زاد L واحد تربية على L واحد KG اللي هي اكم
+
+551
+00:50:48,620 --> 00:50:59,930
+ستمية و خمسين تربيةزاد L واحد اللي هي أظن ألف زاد
+
+552
+00:50:59,930 --> 00:51:10,410
+ألف تربية على ألف وبينها بحسب ال L capital و بعدين
+
+553
+00:51:10,410 --> 00:51:13,490
+بحسب ال TC لأن صار عند ال MC و L واحد و L capital
+
+554
+00:51:13,490 --> 00:51:21,950
+كله بحسب بحسب ال TC ال term التالت اللي هو TW TW
+
+555
+00:51:27,740 --> 00:51:33,400
+بتسوق minus MC G
+
+556
+00:51:33,400 --> 00:51:44,480
+في L واحد على N Cos Theta بعدين برجع احكي ال total
+
+557
+00:51:44,480 --> 00:51:55,540
+torque T بسوق T واحد T I زاد T C زاد
+
+558
+00:51:57,030 --> 00:52:02,950
+TW هيك بيكون هنا ال chapter ال inertia forces
+
+559
+00:52:02,950 --> 00:52:03,690
+calculation
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oM7hz-teOxc.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oM7hz-teOxc.srt
new file mode 100644
index 0000000000000000000000000000000000000000..13ab1f19419638c552a1c31f196ab1f430cf8257
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oM7hz-teOxc.srt
@@ -0,0 +1,1144 @@
+
+1
+00:00:04,960 --> 00:00:08,160
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,160 --> 00:00:12,080
+وبركاته اليوم هنكمل اللي هو chapter mechanisms
+
+3
+00:00:12,080 --> 00:00:16,600
+with lower pair في المحاضرة الأولى غطينا الـ exact
+
+4
+00:00:16,600 --> 00:00:19,000
+straight line mechanism و اتعرفنا على peculiar
+
+5
+00:00:19,000 --> 00:00:22,280
+mechanism و عملنا الـ mathematics of the mechanism
+
+6
+00:00:22,280 --> 00:00:25,040
+في المحاضرة الثانية اتعرفنا على الـ steering
+
+7
+00:00:25,040 --> 00:00:28,980
+mechanisms و عرفنا الـ condition for correct
+
+8
+00:00:28,980 --> 00:00:31,780
+steering اللي هي quotient φ minus quotient θ
+
+9
+00:00:31,780 --> 00:00:38,790
+بالساوية B على C اتعرفنا
+
+10
+00:00:38,790 --> 00:00:43,830
+على الـ Davis steering gear mechanism و بعدين
+
+11
+00:00:43,830 --> 00:00:47,250
+اتعرفنا على الـ Ackerman steering gear mechanism
+
+12
+00:00:47,250 --> 00:00:50,510
+اليوم هنتكمل هنتعرف على شيء جديد اللي هي universal
+
+13
+00:00:50,510 --> 00:00:54,690
+or Hooke joint أو ممكن نسموه في بعض الكتب universal
+
+14
+00:00:54,690 --> 00:00:58,390
+or Hooke coupling ممكن نسموه coupling or joint الـ
+
+15
+00:00:58,390 --> 00:00:58,870
+universal
+
+16
+00:01:01,580 --> 00:01:07,520
+joint تستخدم لوصل عمودين بينهم زاوية زي ما أنتم
+
+17
+00:01:07,520 --> 00:01:12,460
+شايفين أنا عندي هي عمود وهي عمود مش على نفس
+
+18
+00:01:12,460 --> 00:01:18,160
+الاستقامة في بينهم زاوية في نهاية كل شفت في عندي
+
+19
+00:01:18,160 --> 00:01:22,000
+شوكة fork هذا الـ input shaft هي الـ fork والـ output
+
+20
+00:01:22,000 --> 00:01:28,340
+عليه fork و بينهم صليب cross بينهم صليب الحركة
+
+21
+00:01:28,340 --> 00:01:32,700
+تنقل من الـ input shaft للـ cross و من الـ cross للـ
+
+22
+00:01:32,700 --> 00:01:38,560
+fork تاعة الـ output shaft فمعناته بشكل أساسي في
+
+23
+00:01:38,560 --> 00:01:43,860
+عندي input shaft output shaft في بينهم زاوية و في
+
+24
+00:01:43,860 --> 00:01:48,340
+عندي هين لاحظوا أن زاوية الـ cross زاوية تسعين درجة
+
+25
+00:01:48,340 --> 00:01:53,320
+زاوية تسعين درجة الـ cross الـ cross بوصل بين الفورك
+
+26
+00:01:53,320 --> 00:01:55,880
+على الـ input shaft و الفورك على الـ output shaft
+
+27
+00:01:55,880 --> 00:01:57,900
+هاد الـ universal joint
+
+28
+00:02:06,120 --> 00:02:11,740
+الآن إذا عرفنا حكينا الـ ω₁ أو الـ n₁ هي
+
+29
+00:02:11,740 --> 00:02:16,700
+الـ ω .. ω هي الـ speed .. ω هي الـ speed
+
+30
+00:02:16,700 --> 00:02:21,720
+للـ driving shaft بالـ .. بالـ radians per second
+
+31
+00:02:21,720 --> 00:02:26,480
+والـ n₁ هي الـ speed للـ driving shaft بالـ .. بالـ rpm
+
+32
+00:02:26,480 --> 00:02:31,200
+والـ ω₁ هي الـ speed للـ driving shaft بالـ
+
+33
+00:02:31,200 --> 00:02:34,780
+radians per second والـ n₁ هي الـ speed للـ
+
+34
+00:02:34,780 --> 00:02:41,640
+driving shaft in rpm العلاقة بين الـ speed of the
+
+35
+00:02:41,640 --> 00:02:45,680
+driven shaft و الـ speed of the driving shaft
+
+36
+00:02:45,680 --> 00:02:53,710
+بتساوي اللي هي cos α على 1 - cos² θ
+
+37
+00:02:53,710 --> 00:02:59,010
+- cos² α θ هي الـ
+
+38
+00:02:59,010 --> 00:03:04,390
+angle of rotation of the driving shaft about its
+
+39
+00:03:04,390 --> 00:03:09,670
+own axis يعني الشافط بدور زي هيك هذه θ الـ θ
+
+40
+00:03:09,670 --> 00:03:13,490
+هي الـ angle of rotation of the driving shaft about
+
+41
+00:03:13,490 --> 00:03:18,510
+its own axis الـ α هي الـ angle between the two
+
+42
+00:03:18,510 --> 00:03:22,890
+shafts يعني دي هي one shaft وهاي one shaft وهذه
+
+43
+00:03:22,890 --> 00:03:28,230
+الزاوية α معناته
+
+44
+00:03:28,230 --> 00:03:31,610
+أن الـ ratio between the speeds of the driven and
+
+45
+00:03:31,610 --> 00:03:34,870
+driving shaft ω₁ على ω أو n₁ على n
+
+46
+00:03:34,870 --> 00:03:38,270
+بيساوي cos α على 1 - cos²
+
+47
+00:03:38,270 --> 00:03:40,070
+θ على sin² α
+
+48
+00:03:42,610 --> 00:03:45,530
+بمعادلة الـ end المعادلة ω₁ مع
+
+49
+00:03:45,530 --> 00:03:49,290
+ω₁ بتساوي ω cos α على 1 -
+
+50
+00:03:49,290 --> 00:03:53,550
+cos² θ على sin² α طبعا الـ
+
+51
+00:03:53,550 --> 00:03:57,210
+derivation للمعادلات هذه يعني خارج نطاق الـ course
+
+52
+00:03:57,210 --> 00:04:01,530
+بتاعنا عشان تعمل الـ derivation لازم تحط according
+
+53
+00:04:01,530 --> 00:04:05,350
+system على الـ driving shaft fix according to the
+
+54
+00:04:05,350 --> 00:04:08,290
+driving shaft و fix according to the system on the
+
+55
+00:04:08,290 --> 00:04:12,030
+driven shaft و fix according to the system on the
+
+56
+00:04:12,030 --> 00:04:16,530
+cross و تعمل transformation من .. من .. من .. من
+
+57
+00:04:16,530 --> 00:04:20,330
+.. تبدأ من عند الـ driving shaft لـ الـ cross و بعدين
+
+58
+00:04:20,330 --> 00:04:22,750
+تعمل transformation من الـ cross لحد الـ driven
+
+59
+00:04:22,750 --> 00:04:28,630
+shaft فبدك .. يعني هتستخدم rotation matrices عشان
+
+60
+00:04:28,630 --> 00:04:32,330
+تنتقل من الـ input shaft للـ output shaft أو من الـ
+
+61
+00:04:32,330 --> 00:04:34,950
+driving shaft للـ driven shaft ف أنا ممكن أغطيه في
+
+62
+00:04:34,950 --> 00:04:39,750
+course متقدم طيب على أي حال علاقة بين الـ .. سرعة
+
+63
+00:04:39,750 --> 00:04:43,010
+الـ .. الـ ω₁ هي سرعة الـ driving .. الـ
+
+64
+00:04:43,010 --> 00:04:45,810
+driven shaft ω cos α على 1 -
+
+65
+00:04:45,810 --> 00:04:52,570
+cos² θ sin² α أنا عندي ω₁
+
+66
+00:04:55,020 --> 00:05:06,730
+بتساوي ω cos α على 1 - cos² θ sin² α طبعا
+
+67
+00:05:06,730 --> 00:05:13,550
+الزاوية α هي الزاوية بين محوري الـ input shaft
+
+68
+00:05:13,550 --> 00:05:18,130
+و الـ output shaft بتكون ثابتة معناته الزاوية اللي
+
+69
+00:05:18,130 --> 00:05:21,690
+بتتغير هي الزاوية θ اللي هي زاوية دوران زاوية
+
+70
+00:05:21,690 --> 00:05:25,310
+دوران الـ input shaft حوالي محوره زاوية دوران الـ
+
+71
+00:05:25,310 --> 00:05:30,990
+input shaft حوالي محوره و ω₁ هتكون maximum
+
+72
+00:05:30,990 --> 00:05:34,110
+لما
+
+73
+00:05:34,110 --> 00:05:40,030
+المقام يكون minimum لما المقام يكون minimum عشان
+
+74
+00:05:40,030 --> 00:05:43,290
+المقام يكون minimum لأن 1 - لازم الـ cos
+
+75
+00:05:43,290 --> 00:05:44,890
+تكون maximum
+
+76
+00:05:47,030 --> 00:05:51,650
+يعني ω₁ will be maximum لما المقام يكون
+
+77
+00:05:51,650 --> 00:05:55,630
+minimum و عشان المقام يكون minimum لازم الـ cos
+
+78
+00:05:55,630 --> 00:05:58,710
+² تكون maximum و الـ maximum value of cos
+
+79
+00:05:58,710 --> 00:06:03,110
+² اللي هي بالساوي 1 الـ cos² θ
+
+80
+00:06:03,110 --> 00:06:07,430
+بتساوي 1 لما الـ θ بتساوي 0 يعني هاي الـ
+
+81
+00:06:07,430 --> 00:06:09,950
+cos function هاي الـ θ
+
+82
+00:06:15,300 --> 00:06:22,240
+طبعا التربيع بتبقى تصير موجة بقى التربيع
+
+83
+00:06:22,240 --> 00:06:28,340
+بتاعها هتصير
+
+84
+00:06:28,340 --> 00:06:33,740
+التربيع بتاعها بالشكل هذا عند
+
+85
+00:06:33,740 --> 00:06:41,660
+صفر، تسعين، مئة وثمانين، مئتين وسبعين، ثلاثمئة وستين
+
+86
+00:06:41,660 --> 00:06:44,240
+درجة هتكون
+
+87
+00:06:45,500 --> 00:06:51,680
+هتكون الـ cos² maximum عند الـ صفر و عند
+
+88
+00:06:51,680 --> 00:06:56,440
+الـ مئة وثمانين وعند ثلاثمئة وستين معناه
+
+89
+00:06:56,440 --> 00:07:01,100
+ω₁ maximum هتكون
+
+90
+00:07:01,100 --> 00:07:07,600
+ω cos α على 1 - sin²
+
+91
+00:07:07,600 --> 00:07:11,000
+α الـ 1 - sin² يعني cos²
+
+92
+00:07:11,000 --> 00:07:17,430
+يعني ω cos α على cos² α هيروح cos مع cos
+
+93
+00:07:17,430 --> 00:07:23,490
+بتساوي ω على cos α معناته الـ maximum value
+
+94
+00:07:23,490 --> 00:07:27,710
+لـ maximum معناته واضحة أن السرعة السرعة على فرض
+
+95
+00:07:27,710 --> 00:07:31,070
+أن سرعة الـ input shaft ثابتة الـ output shaft تكون
+
+96
+00:07:31,070 --> 00:07:36,130
+السرعة ثابتة فهيكون الـ maximum value لـ الـ driven
+
+97
+00:07:36,130 --> 00:07:42,330
+أو الـ output shaft بتساوي ω على cos α الآن
+
+98
+00:07:43,620 --> 00:07:47,720
+الـ ω₁ سرعة الـ driven shaft بتكون
+
+99
+00:07:47,720 --> 00:07:55,300
+minimum لما الـ المقام يكون maximum عشان المقام
+
+100
+00:07:55,300 --> 00:07:58,660
+يكون maximum لازم هذا الـ term I have to minimize
+
+101
+00:07:58,660 --> 00:08:02,560
+it يعني لازم يكون cos² θ تساوي 0 والـ
+
+102
+00:08:02,560 --> 00:08:07,620
+cos² θ تساوي 0 عند تسعين، ومئتين وسبعين
+
+103
+00:08:07,620 --> 00:08:13,570
+يعني هتكون الـ ω₁ minimum هتكون بتساوي ω
+
+104
+00:08:13,570 --> 00:08:17,830
+cos α على 1 - 0 يعني هتكون بتساوي
+
+105
+00:08:17,830 --> 00:08:23,050
+ω cos α معناته
+
+106
+00:08:23,050 --> 00:08:26,770
+الـ maximum value لـ الـ driven shaft بتساوي ω على
+
+107
+00:08:26,770 --> 00:08:31,150
+cos α و الـ minimum value of speed of
+
+108
+00:08:31,150 --> 00:08:34,750
+rotation of the driven shaft هتكون ω cos
+
+109
+00:08:34,750 --> 00:08:38,270
+α عندي
+
+110
+00:08:38,270 --> 00:08:38,790
+هنا plot
+
+111
+00:08:41,710 --> 00:08:47,770
+الدائرة هذه .. هذه الدائرة بتمثل سرعة .. نصف القطر
+
+112
+00:08:47,770 --> 00:08:52,730
+بتاعها بيمثل سرعة الـ driving shaft لاحظوا نصف القطر
+
+113
+00:08:52,730 --> 00:09:02,870
+للدائرة بيمثل ثابت الـ driving shaft هذا بيمثل سرعة الـ driven
+
+114
+00:09:02,870 --> 00:09:06,390
+shaft احنا حكينا الـ driven shaft بتكون سرعته
+
+115
+00:09:06,390 --> 00:09:10,950
+maximum عند صفر، مئة وثمانين، وثلاثمئة وستين صفر
+
+116
+00:09:10,950 --> 00:09:13,370
+ما هي نفسها ثلاثمئة وستين يعني هتكون هاي الزاوية
+
+117
+00:09:13,370 --> 00:09:17,290
+لو حكيت الـ angle of rotation هاي الـ صفر هاي بتكون
+
+118
+00:09:17,290 --> 00:09:20,550
+maximum و عند مئة وثمانين وثلاثمئة وستين يعني
+
+119
+00:09:20,550 --> 00:09:24,230
+هي عند هنا ω₁ maximum و هنا ω₂
+
+120
+00:09:24,230 --> 00:09:29,730
+maximum و بتكون minimum يعني تسعين، ومئتين وسبعين
+
+121
+00:09:29,730 --> 00:09:34,490
+هذه تسعين وهذه ω₁ minimum وهذه ω₁ من
+
+122
+00:09:34,490 --> 00:09:42,270
+تاسعين، ومئتين وسبعين الآن عند النقاط خمسة، وستة، و
+
+123
+00:09:42,270 --> 00:09:47,130
+سبعة، وثمانية بتكون الـ ω₁ بتساوي الـ ω
+
+124
+00:09:47,130 --> 00:09:55,910
+يعني at points at
+
+125
+00:09:58,010 --> 00:10:04,450
+خمسة، وستة، وسبعة، وثمانية بيكون عندي ω₁
+
+126
+00:10:04,450 --> 00:10:08,910
+بتساوي ω اللي عموما حكينا يعني هتكون ω
+
+127
+00:10:08,910 --> 00:10:12,870
+واحد بتساوي ω يعني هتكون عندي واحد بتساوي
+
+128
+00:10:12,870 --> 00:10:18,460
+cos α على 1 - cos² θ
+
+129
+00:10:18,460 --> 00:10:22,500
+sin² α نعمل الـ cross يعني هيكون عندي
+
+130
+00:10:22,500 --> 00:10:27,860
+1 - cos² θ sin² α
+
+131
+00:10:27,860 --> 00:10:35,060
+بتساوي cos α يعني خدنا نظيرة الطرفين -
+
+132
+00:10:35,060 --> 00:10:40,720
+- + - يعني cos² θ sin
+
+133
+00:10:40,720 --> 00:10:47,820
+² α بتساوي 1 - cos α يعني
+
+134
+00:10:47,820 --> 00:10:52,500
+cos² θ بتساوي 1 - cos α
+
+135
+00:10:52,500 --> 00:10:58,400
+على sin² على
+
+136
+00:10:58,400 --> 00:11:08,070
+sin² α الآن sin² θ زي cos² θ بتساوي 1
+
+137
+00:11:08,070 --> 00:11:15,770
+معناته sin² θ هي بتساوي 1 - cos² θ هي بتساوي 1
+
+138
+00:11:15,770 --> 00:11:23,770
+- بتساوي دلوقتي cos² θ هي 1 - cos α على
+
+139
+00:11:23,770 --> 00:11:31,160
+sin² α يعني هتكون بتساوي sin² α هتكون
+
+140
+00:11:31,160 --> 00:11:39,080
+عندي sin² α - 1 + cos α
+
+141
+00:11:39,080 --> 00:11:47,340
+هبسط أكتر يعني هتكون عندي sin² الـ θ الـ
+
+142
+00:11:47,340 --> 00:11:52,520
+sin² عبارة عن 1 - cos² هتكون
+
+143
+00:11:52,520 --> 00:11:58,930
+1 - cos² α - 1 +
+
+144
+00:11:58,930 --> 00:12:05,610
+cos α على sin² α هيروح 1 مع
+
+145
+00:12:05,610 --> 00:12:12,070
+1 هتكون عندي هاخد cos α في 1 -
+
+146
+00:12:12,070 --> 00:12:19,530
+cos α على sin² α الآن معناته tan
+
+147
+00:12:19,530 --> 00:12:28,060
+² tan² θ tan² θ هيكون
+
+148
+00:12:28,060 --> 00:12:36,940
+بتساوي sin² θ على cos² θ اللي
+
+149
+00:12:36,940 --> 00:12:42,340
+هو sin² هيبقى عندي cos α في
+
+150
+00:12:42,340 --> 00:12:50,060
+1 - cos α على sin² α الآن
+
+151
+00:12:50,060 --> 00:12:55,330
+cos² θ بيدي أحصل عندي هين هعكس أحصل
+
+152
+00:12:55,330 --> 00:13:05,750
+عندي هين تحت في sin² α على 1 - cos α معناته تحصل
+
+153
+00:13:05,750 --> 00:13:12,010
+عندي sin² مع sin² 1 - cos أو 1 - cos بيستوي إيش cos α
+
+154
+00:13:12,010 --> 00:13:17,970
+معناته tan θ هتكون
+
+155
+00:13:17,970 --> 00:13:25,360
+± √cos α معناته
+
+156
+00:13:25,360 --> 00:13:30,260
+بتكون ω₁ بتساوي ω₂ لما أنت نقص
+
+157
+00:13:30,260 --> 00:13:34,720
+جذر التربيع لـ cos α اللي هي هذه العلاقة معناته
+
+158
+00:13:34,720 --> 00:13:39,620
+ω₁ و الـ equal to ω₂ هتكون سرعة الـ
+
+159
+00:13:39,620 --> 00:13:44,200
+input shaft و سرعة الـ output shaft لما أنت نقص
+
+160
+00:13:44,200 --> 00:13:47,780
+جذر التربيع لـ cos α اللي هي عند نقاط خمسة، وستة، و
+
+161
+00:13:47,780 --> 00:13:52,790
+سبعة، وثمانية عند النقطة خمسة، وستة، وسبعة، و
+
+162
+00:13:52,790 --> 00:13:56,310
+ثمانية بيكون tan θ بتساوي ± جذر
+
+163
+00:13:56,310 --> 00:14:06,010
+التربيعي لـ cos α خلّيني
+
+164
+00:14:06,010 --> 00:14:16,530
+أرجع للمعادلة تاعتنا أنا
+
+165
+00:14:16,530 --> 00:14:17,630
+عندي ω₁
+
+166
+00:14:20,250 --> 00:14:28,070
+ω cos α على 1 - cos² θ
+
+167
+00:14:28,070 --> 00:14:35,250
+sin² α عشان
+
+168
+00:14:35,250 --> 00:14:38,230
+أوجد الـ angular acceleration للعجلة الزاوية للـ
+
+169
+00:14:38,230 --> 00:14:44,170
+driven shaft بده اشتق احكي دي ω₁ d/dt
+
+170
+00:14:44,170 --> 00:14:49,630
+طبعا الـ α is a constant والـ ω is variable
+
+171
+00:14:49,630 --> 00:14:54,570
+يعني أول شيء هيكون عنده يعني مشتقة الأول في الثاني زي
+
+172
+00:14:54,570 --> 00:14:57,490
+هذا الثاني مشتقة الأول ممكن أعملها اشتقاق بحصة على
+
+173
+00:14:57,490 --> 00:15:02,430
+الـ α₁ العلاقة هذه الـ α₁ بتساوي
+
+174
+00:15:02,430 --> 00:15:05,150
+- ω² cos α sin 2θ
+
+175
+00:15:05,150 --> 00:15:08,010
+sin² α على 1 - cos²
+
+176
+00:15:08,010 --> 00:15:13,870
+θ sin² α الكل تربيع بعدين
+
+177
+00:15:13,870 --> 00:15:19,690
+أوجد وين وين بتكون الـ angular acceleration maximum
+
+178
+00:15:19,690 --> 00:15:24,830
+يعني أخد الـ second derivative للـ .. للـ .. للـ ω
+
+179
+00:15:24,830 --> 00:15:30,030
+واحد مع الـ time و أساويها للـ zero و من المعادلة هذه
+
+180
+00:15:30,030 --> 00:15:33,390
+حسب قيم θ بتطلع عندي الـ angular acceleration
+
+181
+00:15:33,390 --> 00:15:36,030
+is maximum لما الـ cos 2θ بتساوي 2
+
+182
+00:15:36,030 --> 00:15:40,570
+sin² α على 2 - sin² α
+
+183
+00:15:40,570 --> 00:15:44,710
+هذه الـ condition for maximum angular acceleration
+
+184
+00:15:44,710 --> 00:15:46,210
+of the driven shaft
+
+185
+00:15:48,930 --> 00:15:52,830
+الآن احنا حكينا الـ .. الـ .. الـ .. الـ .. الـ speed
+
+186
+00:15:52,830 --> 00:15:59,170
+of the driven shaft fluctuate يعني بتتأرجح بين
+
+187
+00:15:
+
+223
+00:18:56,330 --> 00:18:58,130
+تاني يمكن نحلها المعيد معاكم
+
+224
+00:19:02,940 --> 00:19:07,200
+two shafts with an included angle او مئة و ستين
+
+225
+00:19:07,200 --> 00:19:13,300
+درجة يعني هاي الشافت و فيه joint عندهم و هاي
+
+226
+00:19:13,300 --> 00:19:20,760
+الشافت التاني و الزاوية بينهم مئة و ستين درجة يعني
+
+227
+00:19:20,760 --> 00:19:27,720
+الزاوية هذه هتكون عشرين طيب
+
+228
+00:19:27,720 --> 00:19:33,610
+are connected by a Hooke joint عندهم Hooke joint
+
+229
+00:19:33,610 --> 00:19:36,550
+driving shaft runs at a speed سرعة ال driving
+
+230
+00:19:36,550 --> 00:19:46,850
+shaft and الف خمسمية rpm the
+
+231
+00:19:46,850 --> 00:19:53,330
+driven shaft لو حكيت هذا ل driving وهذا
+
+232
+00:19:53,330 --> 00:19:59,070
+ل driven the
+
+233
+00:19:59,070 --> 00:20:01,910
+driven shaft carries a flywheel علي مانويل
+
+234
+00:20:06,510 --> 00:20:14,210
+عاد ال flywheel ال
+
+235
+00:20:14,210 --> 00:20:22,970
+mass عاد ال flywheel ال mass اتناشر كيلو جرام وال
+
+236
+00:20:22,970 --> 00:20:27,590
+radius of gyration لها اللي هو نص قطر الدوران K
+
+237
+00:20:27,590 --> 00:20:33,290
+بيساوي ميت ملي متر
+
+238
+00:20:37,040 --> 00:20:41,300
+find the maximum angular acceleration of the
+
+239
+00:20:41,300 --> 00:20:48,180
+driven shaft find ال maximum بده alpha واحد max
+
+240
+00:20:48,180 --> 00:20:57,720
+احنا
+
+241
+00:20:57,720 --> 00:21:05,440
+حكينا ال alpha واحد ال alpha واحد بتساوي minus
+
+242
+00:21:05,440 --> 00:21:12,780
+omega square cos α sin
+
+243
+00:21:12,780 --> 00:21:30,280
+2 θ sin square α على واحد minus cos square θ sin
+
+244
+00:21:30,280 --> 00:21:33,140
+square
+
+245
+00:21:34,940 --> 00:21:41,280
+الزاوية الكلية تربيع هذه ال الزاوية واحد بشكل عام ال الزاوية
+
+246
+00:21:41,280 --> 00:21:49,980
+واحد is maximum ال الزاوية واحد is maximum when عندما
+
+247
+00:21:49,980 --> 00:22:00,380
+تكون cosine two theta بالساوية اتنين sin تربيع
+
+248
+00:22:00,380 --> 00:22:06,970
+الزاوية على اتنين مقصوسين تربيع Alpha يعني اول شي احنا
+
+249
+00:22:06,970 --> 00:22:10,130
+هنجيب ال theta اللي بتعمل Alpha maximum بعدين
+
+250
+00:22:10,130 --> 00:22:12,350
+بنعوضها فيها و بنحسب ال Alpha maximum معناته هتطلع
+
+251
+00:22:12,350 --> 00:22:21,670
+عندي cosine 2θ هتكون ساوى اتنين sin
+
+252
+00:22:21,670 --> 00:22:34,250
+تربيع ال 20 درجة على اتنين minus sine تربيع العشرين
+
+253
+00:22:34,250 --> 00:22:44,530
+ومنها بحسب θ من هذه المعادلة بتحسب ايه؟ θ
+
+254
+00:22:44,530 --> 00:22:49,670
+بعدين برجع بعوض في المعادلة هذه هذي برجع بعدين
+
+255
+00:22:49,670 --> 00:22:52,450
+substitute about
+
+256
+00:23:11,810 --> 00:23:21,210
+θ about θ
+
+257
+00:23:21,210 --> 00:23:28,790
+in equation one عشان تحسب α واحد
+
+258
+00:23:31,490 --> 00:23:36,450
+max هيك و حسبنا α واحد max هذه حلوة طالع
+
+259
+00:23:36,450 --> 00:23:40,090
+الأرقام لحالكوا طيب هذا المطلوب الأول بيكون هيك
+
+260
+00:23:40,090 --> 00:23:48,070
+حلناه المطلوب التاني بيحكي find maximum torque
+
+261
+00:23:48,070 --> 00:23:57,250
+required لأن أنا عندي ال flywheel ال
+
+262
+00:23:57,250 --> 00:24:01,070
+flywheel عال output هاي ال flywheel عال output
+
+263
+00:24:01,070 --> 00:24:05,250
+عليها
+
+264
+00:24:05,250 --> 00:24:09,470
+ال T out بدي
+
+265
+00:24:09,470 --> 00:24:13,670
+أسميها T واحد T
+
+266
+00:24:13,670 --> 00:24:18,830
+واحد هيكون
+
+267
+00:24:18,830 --> 00:24:22,570
+متحركة
+
+268
+00:24:22,570 --> 00:24:25,610
+في
+
+269
+00:24:25,610 --> 00:24:26,170
+إيش I
+
+270
+00:24:30,940 --> 00:24:40,760
+α واحد T واحد Max هنا I واحد I α واحد Max لأن
+
+271
+00:24:40,760 --> 00:24:46,960
+الروديا حسبنا يعني هيكون عند T واحد Max على ال
+
+272
+00:24:46,960 --> 00:24:57,000
+output بالساوية I α واحد Max طيب
+
+273
+00:25:01,790 --> 00:25:12,930
+الـ I هتكون M K تربيع ال M عندي اتناشر في point
+
+274
+00:25:12,930 --> 00:25:18,010
+واحد تربيع يعني هتكون 0.12 kilogram
+
+275
+00:25:18,010 --> 00:25:23,510
+meter square ومنها
+
+276
+00:25:23,510 --> 00:25:30,550
+باحسب required torque at the output shaft T واحد
+
+277
+00:25:30,550 --> 00:25:37,990
+maximum يحسب انا في الآخر في عندي ال input انا جاي
+
+278
+00:25:37,990 --> 00:25:41,590
+ال input من هنا يعني عندي هنا ال input و ال load
+
+279
+00:25:41,590 --> 00:25:47,410
+جاي ال output الان assuming no losses حاجة احكي
+
+280
+00:25:47,410 --> 00:25:53,870
+ان هو T ω بالساوية
+
+281
+00:25:54,790 --> 00:26:05,130
+T1 ω واحد T1 ω واحد معناته ال torque على
+
+282
+00:26:05,130 --> 00:26:11,770
+ال input ستكون T1 ω واحد على ω و احنا
+
+283
+00:26:11,770 --> 00:26:17,050
+already بنعرف ان
+
+284
+00:26:17,050 --> 00:26:27,880
+ω واحد على ω ω واحد على ω بيساوي
+
+285
+00:26:27,880 --> 00:26:34,700
+cos α على
+
+286
+00:26:34,700 --> 00:26:42,100
+واحد minus cos square θ sin square α
+
+287
+00:26:42,100 --> 00:26:45,720
+which θ؟ ال θ اللي هنا اللي كانت عندها ال
+
+288
+00:26:45,720 --> 00:26:50,280
+α maximum بحسب من ال θ اللي هنا بعوض انا
+
+289
+00:26:50,280 --> 00:26:55,660
+هنا وبحسب ω واحد على ω بعدين بعوض ω 1 و
+
+290
+00:26:55,660 --> 00:26:59,180
+ω 2 في المعادلة هذه و بعرف T1 بحسب ال torque على
+
+291
+00:26:59,180 --> 00:27:02,640
+ال input shaft بحسب ال torque على ال input shaft
+
+292
+00:27:02,640 --> 00:27:10,920
+طيب
+
+293
+00:27:10,920 --> 00:27:17,180
+نحل
+
+294
+00:27:17,180 --> 00:27:19,140
+كمان example بعدين ننهي
+
+295
+00:27:32,940 --> 00:27:37,580
+الجزء بين المحاور اتصالات اتصالات اتصالات اتصالات
+
+296
+00:27:37,580 --> 00:27:37,800
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+297
+00:27:37,800 --> 00:27:43,260
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+298
+00:27:43,260 --> 00:27:45,960
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+299
+00:27:45,960 --> 00:27:46,460
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+300
+00:27:46,460 --> 00:27:46,740
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+301
+00:27:46,740 --> 00:27:52,100
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+302
+00:27:52,100 --> 00:27:58,580
+اتصالات اتصالات اتصال
+
+303
+00:27:59,900 --> 00:28:05,860
+احنا اذا فاكرين من الشكل الشكل
+
+304
+00:28:05,860 --> 00:28:19,360
+السابق هذا الشكل بتكون
+
+305
+00:28:19,360 --> 00:28:26,280
+ان ω واحد max ω واحد max ω واحد max
+
+306
+00:28:26,280 --> 00:28:33,120
+plus ω على cos α
+
+307
+00:28:33,120 --> 00:28:39,320
+وبتكون maximum عند صفر مئة و ثمانين هذا بيكون
+
+308
+00:28:39,320 --> 00:28:45,320
+ω one is at θ بيساوي صفر مئة و ثمانين و
+
+309
+00:28:45,320 --> 00:28:51,900
+ثلث مئة و ستين درجة بتكون ω واحد بيساوي
+
+310
+00:28:51,900 --> 00:28:57,020
+ω لما tan θ
+
+311
+00:29:00,520 --> 00:29:05,500
+بساوي زائد او ناقص الجذر التربيعي ل cos α
+
+312
+00:29:05,500 --> 00:29:09,140
+يعني
+
+313
+00:29:09,140 --> 00:29:14,280
+لما tan θ يساوي زائد او ناقص الجذر التربيعي
+
+314
+00:29:14,280 --> 00:29:21,700
+لكوساين الثمانية عشر درجة ومنها باوجد ال θ اللي
+
+315
+00:29:21,700 --> 00:29:26,000
+بتكون عندها ω واحد بيساوي ω اتنين يعني
+
+316
+00:29:26,000 --> 00:29:34,220
+هتكون عند النقاط خمسة و ستة و سبعة و ثمانية خمسة و
+
+317
+00:29:34,220 --> 00:29:40,780
+ستة و سبعة و ثمانية طبعا ال .. الزاوية تتغير
+
+318
+00:29:40,780 --> 00:29:46,000
+بالزاوية .. الزاوية α لأنه يعني اللي هتسير
+
+319
+00:29:46,000 --> 00:29:49,660
+بتغير زاوية α اللي الليفس هذا يا ما همغط بشكل
+
+320
+00:29:49,660 --> 00:29:52,700
+هذا وبالتالي هذه هتنزل او يضغط بهذا الاتجاه
+
+321
+00:29:57,740 --> 00:30:02,560
+هيك بنكون خلصنا ال chapter أعطيكم العافية
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oM7hz-teOxc_postprocess.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oM7hz-teOxc_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9039ccf359c91f46f826097129fcd44ad3d64507
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oM7hz-teOxc_postprocess.srt
@@ -0,0 +1,1284 @@
+1
+00:00:04,960 --> 00:00:08,160
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,160 --> 00:00:12,080
+وبركاته اليوم هنكمل اللي هو chapter mechanisms
+
+3
+00:00:12,080 --> 00:00:16,600
+with lower pair في المحاضرة الأولى غطينا ال exact
+
+4
+00:00:16,600 --> 00:00:19,000
+straight line mechanism و اتعرفنا على pecelliar
+
+5
+00:00:19,000 --> 00:00:22,280
+mechanism و عملنا ال mathematics of the mechanism
+
+6
+00:00:22,280 --> 00:00:25,040
+في المحاضرة التانية اتعرفنا على ال steering
+
+7
+00:00:25,040 --> 00:00:28,980
+mechanisms و عرفنا ال condition for correct
+
+8
+00:00:28,980 --> 00:00:31,780
+steering اللي هي quotient phi minus quotient theta
+
+9
+00:00:31,780 --> 00:00:38,790
+بالساويةB على C اتعرفنا
+
+10
+00:00:38,790 --> 00:00:43,830
+على ال Davis Davis steering gear mechanism و بعدين
+
+11
+00:00:43,830 --> 00:00:47,250
+اتعرفنا على ال Ackerman steering gear mechanism
+
+12
+00:00:47,250 --> 00:00:50,510
+اليوم هنتكمل هنتعرف على اشي جديد اللي هي universal
+
+13
+00:00:50,510 --> 00:00:54,690
+or hoax joint او ممكن نسموه في بعض الكتب universal
+
+14
+00:00:54,690 --> 00:00:58,390
+or hoax coupling ممكن نسموه coupling or joint ال
+
+15
+00:00:58,390 --> 00:00:58,870
+universal
+
+16
+00:01:01,580 --> 00:01:07,520
+joint تستخدم لوصل عمودين بينهم زاوية زي ما انتوا
+
+17
+00:01:07,520 --> 00:01:12,460
+شايفين انا عندي هي عمود وهي عمود مش على نفس
+
+18
+00:01:12,460 --> 00:01:18,160
+الاستقام في بينهم زاويةفي نهاية كل شفت في عندي
+
+19
+00:01:18,160 --> 00:01:22,000
+شوكة fork هذا ال input شفت هي ال fork وال output
+
+20
+00:01:22,000 --> 00:01:28,340
+عليه fork و بينهم صليب cross بينهم صليب الحركة
+
+21
+00:01:28,340 --> 00:01:32,700
+تنقل من ال input shaft لل cross و من ال cross لل
+
+22
+00:01:32,700 --> 00:01:38,560
+fork تاعة ال output shaft فمعناته بشكل أساسي في
+
+23
+00:01:38,560 --> 00:01:43,860
+عندي input shaft output shaft في بينهم زاويةو في
+
+24
+00:01:43,860 --> 00:01:48,340
+اندي هين لاحظوا ان زاوية ال cross زاوية تسعين درجة
+
+25
+00:01:48,340 --> 00:01:53,320
+زاوية تسعين درجة ال cross ال cross بوصل بين الفورك
+
+26
+00:01:53,320 --> 00:01:55,880
+على ال input shaft و الفورك على ال output shaft
+
+27
+00:01:55,880 --> 00:01:57,900
+هاد ال universal joint
+
+28
+00:02:06,120 --> 00:02:11,740
+الان اذا عرفنا حكينا ال omega one او ال n one هي
+
+29
+00:02:11,740 --> 00:02:16,700
+ال omega .. omega هي ال speed .. omega هي ال speed
+
+30
+00:02:16,700 --> 00:02:21,720
+لل driving shaft بال .. بال radians per second
+
+31
+00:02:21,720 --> 00:02:26,480
+والان هي ال speed لل driving shaft بال .. بال rpm
+
+32
+00:02:26,480 --> 00:02:31,200
+وال omega واحد هي ال speed لل driving shaft بال
+
+33
+00:02:31,200 --> 00:02:34,780
+radians per second والان واحد هي ال speed لل
+
+34
+00:02:34,780 --> 00:02:41,640
+driving shaftin rpm العلاقة بين ال speed of a
+
+35
+00:02:41,640 --> 00:02:45,680
+driven shaft بتاع ال speed of a driving shaft
+
+36
+00:02:45,680 --> 00:02:53,710
+بتساوي اللي هي cos αعلى واحد cosine ألفة على واحد
+
+37
+00:02:53,710 --> 00:02:59,010
+نقص cosine square ثتا cosine square ألفة ثتا هي ال
+
+38
+00:02:59,010 --> 00:03:04,390
+angle of rotation of the driving shaft about its
+
+39
+00:03:04,390 --> 00:03:09,670
+own axis يعني الشافق بدور زي هيك هذه ثتا ال theta
+
+40
+00:03:09,670 --> 00:03:13,490
+هي ال angle of rotation of the driving shaft about
+
+41
+00:03:13,490 --> 00:03:18,510
+its own axis الألفة هي ال angle between the two
+
+42
+00:03:18,510 --> 00:03:22,890
+shafts يعني دي هي one shaftوهاي one shaft وهذه
+
+43
+00:03:22,890 --> 00:03:28,230
+الزاوية alpha معناته
+
+44
+00:03:28,230 --> 00:03:31,610
+ان ال ratio between the speeds of the driven and
+
+45
+00:03:31,610 --> 00:03:34,870
+driving shaft omega واحد على omega او N واحد على N
+
+46
+00:03:34,870 --> 00:03:38,270
+بيساوي cosine alpha على واحد minus cosine square
+
+47
+00:03:38,270 --> 00:03:40,070
+theta على sine square alpha
+
+48
+00:03:42,610 --> 00:03:45,530
+قنقت المعادلة على ال end المعادلة اميجا واحد مع
+
+49
+00:03:45,530 --> 00:03:49,290
+اميجا واحد بستوي اميجا كوسين الف ع واحد مانقس
+
+50
+00:03:49,290 --> 00:03:53,550
+كوسين square ثيتا ع صين square الف طبعا ال
+
+51
+00:03:53,550 --> 00:03:57,210
+derivation للمعادلات هذه يعني خارج انطاق ال course
+
+52
+00:03:57,210 --> 00:04:01,530
+بتاعنا عشان تعمل ال derivation لازم تحطaccording
+
+53
+00:04:01,530 --> 00:04:05,350
+system على ال driving shaft fix according to the
+
+54
+00:04:05,350 --> 00:04:08,290
+driving shaft و fix according to the system on the
+
+55
+00:04:08,290 --> 00:04:12,030
+driven shaft و fix according to the system on the
+
+56
+00:04:12,030 --> 00:04:16,530
+cross و تعمل transformation من .. من .. من .. من
+
+57
+00:04:16,530 --> 00:04:20,330
+.. تبدأ من عند ال driving shaft ل ال cross و بعدين
+
+58
+00:04:20,330 --> 00:04:22,750
+تعمل transformation من ال cross لحد ال driven
+
+59
+00:04:22,750 --> 00:04:28,630
+shaftفبدك .. يعني هتستخدم rotation matrices عشان
+
+60
+00:04:28,630 --> 00:04:32,330
+تنتقل من ال input shaft لل output shaft او من ال
+
+61
+00:04:32,330 --> 00:04:34,950
+driving shaft لل driven shaft فانا ممكن اتغطى في
+
+62
+00:04:34,950 --> 00:04:39,750
+course متقدم طيب على اي حال علاقة بين ال .. سرعة
+
+63
+00:04:39,750 --> 00:04:43,010
+ال .. ال omega واحدة هي سرعة ال driving .. ال
+
+64
+00:04:43,010 --> 00:04:45,810
+driven shaft omega cosine alpha على واحد ناقصان
+
+65
+00:04:45,810 --> 00:04:52,570
+square theta sine square alpha انا عندي omega واحد
+
+66
+00:04:55,020 --> 00:05:06,730
+بالسوء Omega Cos Alphaعلى 1-cos² θ sin² α طبعا
+
+67
+00:05:06,730 --> 00:05:13,550
+الزاوية Alpha هي الزاوية بين محوري ال input shaft
+
+68
+00:05:13,550 --> 00:05:18,130
+و output shaft بتكون ثابتة معناته الزاوية اللي
+
+69
+00:05:18,130 --> 00:05:21,690
+بتتغير هي الزاوية θ اللي هي زاوية دوران زاوية
+
+70
+00:05:21,690 --> 00:05:25,310
+دوران ال input shaft حوالي محوره زاوية دوران ال
+
+71
+00:05:25,310 --> 00:05:30,990
+input shaft حوالين محورهومجا واحد هتكون maximum
+
+72
+00:05:30,990 --> 00:05:34,110
+لما
+
+73
+00:05:34,110 --> 00:05:40,030
+المقام بيكون minimum لما المقام بيكون minimum عشان
+
+74
+00:05:40,030 --> 00:05:43,290
+المقام يكون minimum لإن واحد ناقص لازم ال cosine
+
+75
+00:05:43,290 --> 00:05:44,890
+تكون maximum
+
+76
+00:05:47,030 --> 00:05:51,650
+يعني أميجا واحد will be maximum لما المقام يكون
+
+77
+00:05:51,650 --> 00:05:55,630
+minimum وعشان المقام يكون minimum لازم ال cosine
+
+78
+00:05:55,630 --> 00:05:58,710
+square تكون maximum و ال maximum value of cosine
+
+79
+00:05:58,710 --> 00:06:03,110
+square اللي هي بالساوي واحد ال cosine square theta
+
+80
+00:06:03,110 --> 00:06:07,430
+بالساوي واحد لما ال theta الساوي صفر يعني هاي ال
+
+81
+00:06:07,430 --> 00:06:09,950
+cosine function هاي ال theta
+
+82
+00:06:15,300 --> 00:06:22,240
+طبعا الاربيع بتبقى تصير موجة بقى التربيع
+
+83
+00:06:22,240 --> 00:06:28,340
+بتاعها هتصير
+
+84
+00:06:28,340 --> 00:06:33,740
+التربيع بتاعها بالشكل هذا عند
+
+85
+00:06:33,740 --> 00:06:41,660
+سفر تسعين مية و تمانين متين و سبعين تلت مية و ستين
+
+86
+00:06:41,660 --> 00:06:44,240
+درجة هتكون
+
+87
+00:06:45,500 --> 00:06:51,680
+هتكون ال cosine square maximum عند الزرع سفر وعند
+
+88
+00:06:51,680 --> 00:06:56,440
+الزرع مية و تمانين وعند تلت مية و ستين معناه
+
+89
+00:06:56,440 --> 00:07:01,100
+اوميجا واحد maximum هتكون
+
+90
+00:07:01,100 --> 00:07:07,600
+omega cosine alpha على واحد minus sine square
+
+91
+00:07:07,600 --> 00:07:11,000
+alpha الواحد minus sine square يعني cosine square
+
+92
+00:07:11,000 --> 00:07:17,430
+يعني اوميجا cosine alphaعلى cos²α هيروح cos مع cos
+
+93
+00:07:17,430 --> 00:07:23,490
+بستوي omega على cos α المعناته ال maximum value
+
+94
+00:07:23,490 --> 00:07:27,710
+للمaximum المعناته واضحة ان السرعة السرعة على فرض
+
+95
+00:07:27,710 --> 00:07:31,070
+ان سرعة ال input shaft ثابتة ال output shaft تكون
+
+96
+00:07:31,070 --> 00:07:36,130
+السرعة ثابتة فهيكون ال maximum value ل ال driven
+
+97
+00:07:36,130 --> 00:07:42,330
+او ال output shaft بستوي omega على cos α الآن
+
+98
+00:07:43,620 --> 00:07:47,720
+الاميجا واحد الصراع بتاعت ال driven shaft بتكون
+
+99
+00:07:47,720 --> 00:07:55,300
+minimum لما دي المقام يكون maximum عشان المقام
+
+100
+00:07:55,300 --> 00:07:58,660
+يكون maximum لازم هذا ال term I have to minimize
+
+101
+00:07:58,660 --> 00:08:02,560
+it يعني لازم يكون cosine square ثتة تساوي سفر وال
+
+102
+00:08:02,560 --> 00:08:07,620
+cosine square ثتة تساوي سفر عن تسعين ومتين وسبعين
+
+103
+00:08:07,620 --> 00:08:13,570
+يعني هتكون الاميجا واحدminimum هتكون سوى omega
+
+104
+00:08:13,570 --> 00:08:17,830
+cosine alpha على واحد ناقص زير يعني هتكون سوى
+
+105
+00:08:17,830 --> 00:08:23,050
+omega cosine alpha معناته
+
+106
+00:08:23,050 --> 00:08:26,770
+ال maximum value ل ال driven shaft سوى omega على
+
+107
+00:08:26,770 --> 00:08:31,150
+cosine alpha و ال minimum value of speed of
+
+108
+00:08:31,150 --> 00:08:34,750
+rotation of a driven shaft هتكون omega cosine
+
+109
+00:08:34,750 --> 00:08:38,270
+alpha عندي
+
+110
+00:08:38,270 --> 00:08:38,790
+هنا plot
+
+111
+00:08:41,710 --> 00:08:47,770
+الدائرة هذه .. هذه الدائرة بتمثل سرعة .. نص القطر
+
+112
+00:08:47,770 --> 00:08:52,730
+بتاعها بيمثل سرعة ل driving shaft لاحظوا نص القطر
+
+113
+00:08:52,730 --> 00:09:02,870
+للدائرة أشماله ثابت اللبس هذا بيمثل سرعةالـ Driven
+
+114
+00:09:02,870 --> 00:09:06,390
+shaft احنا حكينا الـ Driven shaft بتكون سرعته
+
+115
+00:09:06,390 --> 00:09:10,950
+maximum عند سفر ومية و تمانين و تلت مية و ستين سفر
+
+116
+00:09:10,950 --> 00:09:13,370
+ما هي نفسها تلت مية و ستين يعني هتكون هاي الزاوية
+
+117
+00:09:13,370 --> 00:09:17,290
+لو حكيت ال angle of rotation هاي السفر هاي بتكون
+
+118
+00:09:17,290 --> 00:09:20,550
+maximum و عند مية و تمانين و تلت مية و ستين يعني
+
+119
+00:09:20,550 --> 00:09:24,230
+هي عند هنا omega واحد maximum و هنا omega اتنين
+
+120
+00:09:24,230 --> 00:09:29,730
+maximum و بتكون minimumيعني تسعين و ميتين و سبعين
+
+121
+00:09:29,730 --> 00:09:34,490
+هذه تسعين وهذه امجا واحد minimum وهذه امجا واحد من
+
+122
+00:09:34,490 --> 00:09:42,270
+تسعين و ميتين و سبعين الان عند النقاط خمسة و ستة و
+
+123
+00:09:42,270 --> 00:09:47,130
+سبعة و تمانية بتكون الامجا واحد بالساوي الامجا
+
+124
+00:09:47,130 --> 00:09:55,910
+يعني at points at
+
+125
+00:09:58,010 --> 00:10:04,450
+خمسة و ستة و سبعة و تمانية بيكون عندي omega واحد
+
+126
+00:10:04,450 --> 00:10:08,910
+بالساوية omega اللي عموما حكينا يعني هتكون omega
+
+127
+00:10:08,910 --> 00:10:12,870
+واحد بالساوية omega يعني هتكون عندي واحد بالساوية
+
+128
+00:10:12,870 --> 00:10:18,460
+cosine alphaعلى واحد minus cosine square theta
+
+129
+00:10:18,460 --> 00:10:22,500
+sine square alpha نعمل ال cross يعني هكون عندي
+
+130
+00:10:22,500 --> 00:10:27,860
+واحد minus cosine square theta sine square alpha
+
+131
+00:10:27,860 --> 00:10:35,060
+بيساوي cosine alphaيعني خدنا نظروا الطرفين minus
+
+132
+00:10:35,060 --> 00:10:40,720
+minus plus minus يعني cosine square theta sin
+
+133
+00:10:40,720 --> 00:10:47,820
+square alpha بسوء واحد minus cosine alpha يعني
+
+134
+00:10:47,820 --> 00:10:52,500
+cosine square theta بسوء واحد minus cosine alpha
+
+135
+00:10:52,500 --> 00:10:58,400
+على sin square على
+
+136
+00:10:58,400 --> 00:11:08,070
+sin square alphaالان sin²θ زي cos²θ بسوء واحد
+
+137
+00:11:08,070 --> 00:11:15,770
+معناته sin²θ هي سوء واحد minus cos²θ هي سوء واحد
+
+138
+00:11:15,770 --> 00:11:23,770
+minus بتدعو دلوقتي cos²θ هي واحد minus cos α على
+
+139
+00:11:23,770 --> 00:11:31,160
+sin²θالفة يعني هتكون ساوى sine square الفة هتكون
+
+140
+00:11:31,160 --> 00:11:39,080
+عندي sine square الفة minus واحد زائد cosine الفة
+
+141
+00:11:39,080 --> 00:11:47,340
+هبسط أكتر يعني هتكون عندي sine square ال theta ال
+
+142
+00:11:47,340 --> 00:11:52,520
+sine square عبارة عن واحد ناقص cosine square هتكون
+
+143
+00:11:52,520 --> 00:11:58,930
+واحد minus cosine squareالفة minus واحد زائد
+
+144
+00:11:58,930 --> 00:12:05,610
+cosine الفة على sine square الفة هاروح واحد مع
+
+145
+00:12:05,610 --> 00:12:12,070
+واحد هتكون عندي هاخد cosine الفة في واحد minus
+
+146
+00:12:12,070 --> 00:12:19,530
+cosine الفة على sine square الفة الان معناته tenth
+
+147
+00:12:19,530 --> 00:12:28,060
+square tenth square theta tenth squareثيتا هيكون
+
+148
+00:12:28,060 --> 00:12:36,940
+سوى sine square ثيتا على cosine square ثيتا اللي
+
+149
+00:12:36,940 --> 00:12:42,340
+هو sine square هيبقى عن cosine alpha في
+
+150
+00:12:42,340 --> 00:12:50,060
+واحد minus cosine alpha على sine square alpha الان
+
+151
+00:12:50,060 --> 00:12:55,330
+cosine square ثيتابدي احصير عندي هين هعكس احصير
+
+152
+00:12:55,330 --> 00:13:05,750
+عندي هين تحت في sin² α على 1-cos α معناه تحيره
+
+153
+00:13:05,750 --> 00:13:12,010
+عندي sin² مع sin² 1-cos او 1-cos بيستوي ايش cos α
+
+154
+00:13:12,010 --> 00:13:17,970
+معناته tan θ هتكون
+
+155
+00:13:17,970 --> 00:13:25,360
+plus plus or minus الجزر التربيعيل cos α معناته
+
+156
+00:13:25,360 --> 00:13:30,260
+بتكون omega واحد بالسواء omega اتنين لما انت نقص
+
+157
+00:13:30,260 --> 00:13:34,720
+جزر التربيع ل cos α اللي هي هذه العلاقة معناته
+
+158
+00:13:34,720 --> 00:13:39,620
+omega واحد و ال equal to omega اتنين هتكون سرعة ال
+
+159
+00:13:39,620 --> 00:13:44,200
+input shaft و السرعة ال output shaft لما انت نقص
+
+160
+00:13:44,200 --> 00:13:47,780
+جزر التربيع ل cos α اللي هي عند نقاط خمسة و ستة و
+
+161
+00:13:47,780 --> 00:13:52,790
+سبعة و تمانيةعند النقطة خمسة و خمسة و ستة و سبعة و
+
+162
+00:13:52,790 --> 00:13:56,310
+تمانية بيكون tan θ بالثاوية زاد أو ناقص جزء
+
+163
+00:13:56,310 --> 00:14:06,010
+التربية إلى cos α خلّيني
+
+164
+00:14:06,010 --> 00:14:16,530
+أرجع للمعادلة تاعتنا أنا
+
+165
+00:14:16,530 --> 00:14:17,630
+عندي omega واحد
+
+166
+00:14:20,250 --> 00:14:28,070
+أوميجا كوصين ألفة على واحد ماينوس كوصين سكوير ثيتا
+
+167
+00:14:28,070 --> 00:14:35,250
+سين سكوير ألفة عشان
+
+168
+00:14:35,250 --> 00:14:38,230
+اوجد ال angular acceleration للعجلة الزاوية لل
+
+169
+00:14:38,230 --> 00:14:44,170
+driven shaft بده اشتق احكي دي اوميجا واحد بي دي تي
+
+170
+00:14:44,170 --> 00:14:49,630
+طبعا ال alpha is a constantوالـ omega is variable
+
+171
+00:14:49,630 --> 00:14:54,570
+يعني أولش هكون عنده يعني مشتقت الأول في التاني زي
+
+172
+00:14:54,570 --> 00:14:57,490
+هدي التاني مشتقت الأول ممكن بعملها اشتقاق بحصه على
+
+173
+00:14:57,490 --> 00:15:02,430
+ال alpha واحد العلاقة هذه ال alpha واحد بيساوي
+
+174
+00:15:02,430 --> 00:15:05,150
+minus omega squared cosine alpha في sine two theta
+
+175
+00:15:05,150 --> 00:15:08,010
+sine squared alpha على واحد minus cosine squared
+
+176
+00:15:08,010 --> 00:15:13,870
+theta sine squared alpha لكل تربيع بعدين
+
+177
+00:15:13,870 --> 00:15:19,690
+أوجد وين وينبتكون ال angular acceleration maximum
+
+178
+00:15:19,690 --> 00:15:24,830
+يعني أخد ال second derivative لل .. لل .. لل omega
+
+179
+00:15:24,830 --> 00:15:30,030
+واحد مع ال time و سوّها لل zero و من المعادلة هذه
+
+180
+00:15:30,030 --> 00:15:33,390
+حسب قيم theta بتطلع عنده ال angular acceleration
+
+181
+00:15:33,390 --> 00:15:36,030
+is maximum لما ال cosine two theta بيستوى اتنين
+
+182
+00:15:36,030 --> 00:15:40,570
+sine square alpha على اتنين ناقص sine square alpha
+
+183
+00:15:40,570 --> 00:15:44,710
+هذه ال condition for maximum angular acceleration
+
+184
+00:15:44,710 --> 00:15:46,210
+of the driven shaft
+
+185
+00:15:48,930 --> 00:15:52,830
+الان احنا حكينا ال .. ال .. ال .. ال .. ال speed
+
+186
+00:15:52,830 --> 00:15:59,170
+of the driven shaft fluctuate يعني بتتأرجح بين
+
+187
+00:15:59,170 --> 00:16:04,370
+قيمة الدنيا omega واحد minimum و قيمة الدنيا قيمة
+
+188
+00:16:04,370 --> 00:16:08,150
+قصوى omega واحد max ممكن نحسب ال maximum
+
+189
+00:16:08,150 --> 00:16:11,810
+fluctuation of speed التأرجح الأقصى في السرعة
+
+190
+00:16:11,810 --> 00:16:16,420
+هيكون القيمة العظمى ناقص القيبةالدنيا القيمة
+
+191
+00:16:16,420 --> 00:16:19,100
+العظمى هي omega على cosine alpha minus omega على
+
+192
+00:16:19,100 --> 00:16:22,900
+cosine alpha أخد omega عام مشترك بيصير عندي واحد
+
+193
+00:16:22,900 --> 00:16:24,980
+على cosine alpha ونقص cosine alpha أخد cosine
+
+194
+00:16:24,980 --> 00:16:28,760
+alpha هتصير عندي هنا واحد minus cosine تربيه ألفة
+
+195
+00:16:28,760 --> 00:16:31,060
+واحد نقص cosine تربيه ألفة هيبقى عندي sin تربيه
+
+196
+00:16:31,060 --> 00:16:34,700
+sin تربيه ألفة sin alpha على cosine alpha اللي هي
+
+197
+00:16:34,700 --> 00:16:39,860
+10 الف هتكون omega 10 الف في sin الف for small
+
+198
+00:16:39,860 --> 00:16:45,420
+alpha for small alpha عادة بتكون smallبيكون عندي
+
+199
+00:16:45,420 --> 00:16:53,740
+تقريبا ال tan α بيساوي sin α تقريبا بيساوي تقريبا
+
+200
+00:16:53,740 --> 00:16:57,580
+الألفة بوحدة ال radians بيعني هتكون هذه الف في الف
+
+201
+00:16:57,580 --> 00:17:01,680
+هتكون تقريبا ال maximum fluctuation of speed
+
+202
+00:17:01,680 --> 00:17:05,700
+بيساوي omega في الف تربيه والالفة الوحدة بتاعتها
+
+203
+00:17:05,700 --> 00:17:08,160
+بال radians بال radians
+
+204
+00:17:19,520 --> 00:17:32,520
+في عندي اللي هو ال double hoax joint عشان
+
+205
+00:17:32,520 --> 00:17:38,100
+اضبن انه انا عندي هاي input shaft و هاي output
+
+206
+00:17:38,100 --> 00:17:45,340
+shaft فبحط تنتين بحط هنا universal joint و هنا
+
+207
+00:17:45,340 --> 00:17:47,860
+universal joint عشان كده بيسموها double universal
+
+208
+00:17:47,860 --> 00:17:55,470
+jointعشان اضمن ان سرعة ال output shaft تساوي سرعة
+
+209
+00:17:55,470 --> 00:17:59,430
+ال input shaft يعني سرعة uniform speed لازم ال
+
+210
+00:17:59,430 --> 00:18:03,410
+axes محور ال driver و محور ال driven يكونوا واقعين
+
+211
+00:18:03,410 --> 00:18:06,650
+في نفس المستوى axes of driving and driving must be
+
+212
+00:18:06,650 --> 00:18:12,600
+in the same planeلازم الزاوية اللي مسويها ال
+
+213
+00:18:12,600 --> 00:18:17,060
+driving مع ال intermediate shaft هي نفس الزاوية
+
+214
+00:18:17,060 --> 00:18:18,820
+اللي مسويها ال driven shaft مع ال intermediate
+
+215
+00:18:18,820 --> 00:18:22,720
+shaft يعني .. يعني باختصار يعني هيكون ال driving
+
+216
+00:18:22,720 --> 00:18:28,480
+shaft موازي لل driven shaft يعني ال driving is
+
+217
+00:18:28,480 --> 00:18:31,960
+parallel لل driven shaft هاي أول condition،
+
+218
+00:18:31,960 --> 00:18:36,150
+condition تانيالـ axes of the driver shaft and
+
+219
+00:18:36,150 --> 00:18:40,130
+driven shaft must lie on the same plane في الحالة
+
+220
+00:18:40,130 --> 00:18:44,590
+هذه أنا I assure uniform speed of the driven shaft
+
+221
+00:18:44,590 --> 00:18:50,590
+assuming uniform speed of the driving shaft نحل
+
+222
+00:18:50,590 --> 00:18:56,330
+examples يمكن نحل one or two examples والexamples
+
+223
+00:18:56,330 --> 00:18:58,130
+تاني يمكن نحلها المعيد معاكم
+
+224
+00:19:02,940 --> 00:19:07,200
+two shafts with an included angle او مية و ستين
+
+225
+00:19:07,200 --> 00:19:13,300
+درجة يعني هاي الشافت و فيه joint عندهين و هاي
+
+226
+00:19:13,300 --> 00:19:20,760
+الشافت التاني و الزواب بينهم مية و ستين درجة يعني
+
+227
+00:19:20,760 --> 00:19:27,720
+الزواب هذه هتكون عشرين طيب
+
+228
+00:19:27,720 --> 00:19:33,610
+are connected by a hoax joint عندهين hoax jointthe
+
+229
+00:19:33,610 --> 00:19:36,550
+driving shaft runs at a speed سرعة ال driving
+
+230
+00:19:36,550 --> 00:19:46,850
+shaft and الف خمسمية rpm the
+
+231
+00:19:46,850 --> 00:19:53,330
+driven shift لو حكيت هذا ل driving وهذا
+
+232
+00:19:53,330 --> 00:19:59,070
+ل driven the
+
+233
+00:19:59,070 --> 00:20:01,910
+driven shift carries a flywheel علي مانويل
+
+234
+00:20:06,510 --> 00:20:14,210
+عاد ال flywheel ال
+
+235
+00:20:14,210 --> 00:20:22,970
+mass عاد ال flywheel ال mass اتناشر كيلو جرام وال
+
+236
+00:20:22,970 --> 00:20:27,590
+radius of gyration لها اللي هو نص قطر الرحة K
+
+237
+00:20:27,590 --> 00:20:33,290
+بيساوي ميت ملي ميتر
+
+238
+00:20:37,040 --> 00:20:41,300
+find the maximum angular acceleration of the
+
+239
+00:20:41,300 --> 00:20:48,180
+driven shaft find ال maximum بده alpha واحد max
+
+240
+00:20:48,180 --> 00:20:57,720
+احنا
+
+241
+00:20:57,720 --> 00:21:05,440
+حكينا ال alpha واحد ال alpha واحد بتساوي minus
+
+242
+00:21:05,440 --> 00:21:12,780
+omega squarecos α sin
+
+243
+00:21:12,780 --> 00:21:30,280
+2 θ sin square α على واحد minus cos square θ sin
+
+244
+00:21:30,280 --> 00:21:33,140
+square
+
+245
+00:21:34,940 --> 00:21:41,280
+الفة الكل تربية هذه الالفة واحد بشكل عام الالفة
+
+246
+00:21:41,280 --> 00:21:49,980
+واحد is maximum الالفة واحد is maximum when عندما
+
+247
+00:21:49,980 --> 00:22:00,380
+تكون cosine two theta بالساوية اتنين sin تربية
+
+248
+00:22:00,380 --> 00:22:06,970
+الفةعلى اتنين مقص صين تربيع Alpha يعني اول شي احنا
+
+249
+00:22:06,970 --> 00:22:10,130
+هوجي ال theta اللي بتعمل Alpha maximum بعدين
+
+250
+00:22:10,130 --> 00:22:12,350
+بنعوضها فيها و بنحسب ال Alpha maximum معناته هتطلع
+
+251
+00:22:12,350 --> 00:22:21,670
+عندى cosine to theta هتكون ساوى اتنين صين
+
+252
+00:22:21,670 --> 00:22:34,250
+تربيع ال 20 درجة على اتنينminus sine تربيع العشرين
+
+253
+00:22:34,250 --> 00:22:44,530
+ومنها بحسب ثتا من هذه المعادلة بتحسب ايه؟ ثتا
+
+254
+00:22:44,530 --> 00:22:49,670
+بعدين برجع بعوض في المعادلة هذه هذي برجع بعدين
+
+255
+00:22:49,670 --> 00:22:52,450
+substitute about
+
+256
+00:23:11,810 --> 00:23:21,210
+theta about theta
+
+257
+00:23:21,210 --> 00:23:28,790
+in equation one عشان تحسب الف واحد
+
+258
+00:23:31,490 --> 00:23:36,450
+max هيك و حسبنا alpha واحد max هذه حلوة طالع
+
+259
+00:23:36,450 --> 00:23:40,090
+الأرقام لحالكوا طيب هذا المطلوب الأول بيكون هيك
+
+260
+00:23:40,090 --> 00:23:48,070
+حلناه المطلوب التاني بيحكي find maximum torque
+
+261
+00:23:48,070 --> 00:23:57,250
+required لأن أنا عندي ال flywheel ال
+
+262
+00:23:57,250 --> 00:24:01,070
+flywheelعال output هاي ال flywheel عال output
+
+263
+00:24:01,070 --> 00:24:05,250
+عليها
+
+264
+00:24:05,250 --> 00:24:09,470
+ال T out بدي
+
+265
+00:24:09,470 --> 00:24:13,670
+أسميها T واحد T
+
+266
+00:24:13,670 --> 00:24:18,830
+واحد هكون
+
+267
+00:24:18,830 --> 00:24:22,570
+متحركة
+
+268
+00:24:22,570 --> 00:24:25,610
+في
+
+269
+00:24:25,610 --> 00:24:26,170
+إيش I
+
+270
+00:24:30,940 --> 00:24:40,760
+الف واحد T واحد Max هنا I واحد I الف واحد Max لأن
+
+271
+00:24:40,760 --> 00:24:46,960
+الروديا حسبنا يعني هيكون عند T واحد Max على ال
+
+272
+00:24:46,960 --> 00:24:57,000
+output بالساوية I الف واحد Max طيب
+
+273
+00:25:01,790 --> 00:25:12,930
+الـ I هتكون M K تربيع ال M عندى اتناش في point
+
+274
+00:25:12,930 --> 00:25:18,010
+واحد تربيع يعني هتكون point واحد اتنين kilogram
+
+275
+00:25:18,010 --> 00:25:23,510
+meter square ومنها
+
+276
+00:25:23,510 --> 00:25:30,550
+باحسبrequired torque at the output shaft T واحد
+
+277
+00:25:30,550 --> 00:25:37,990
+maximum يحسب انا في الآخر في عندي ال input انا جاي
+
+278
+00:25:37,990 --> 00:25:41,590
+ال input من هنا يعني عندي هنا ال input و ال load
+
+279
+00:25:41,590 --> 00:25:47,410
+جاى ال output الان assuming fish losses حاجة احكي
+
+280
+00:25:47,410 --> 00:25:53,870
+ان هو T omega بالساوية
+
+281
+00:25:54,790 --> 00:26:05,130
+T1 أميجا واحد T1 أميجا واحد معناته ال torque على
+
+282
+00:26:05,130 --> 00:26:11,770
+ال input ستكون T1 أميجا واحد على أميجا و احنا
+
+283
+00:26:11,770 --> 00:26:17,050
+already بنعرف ان
+
+284
+00:26:17,050 --> 00:26:27,880
+أميجا واحد على أميجا أميجا واحدعلى omega بيساوي
+
+285
+00:26:27,880 --> 00:26:34,700
+cosine alpha على
+
+286
+00:26:34,700 --> 00:26:42,100
+واحد minus cosine square theta sine square alpha
+
+287
+00:26:42,100 --> 00:26:45,720
+which theta؟ ال theta اللي هنا اللي كانت عندها ال
+
+288
+00:26:45,720 --> 00:26:50,280
+alpha maximum بحسب من ال theta اللي هنا بعوض انا
+
+289
+00:26:50,280 --> 00:26:55,660
+هنا وبحسب omega واحد على omegaبعدين بعوض omega 1 و
+
+290
+00:26:55,660 --> 00:26:59,180
+omega 2 في المواد هذه و بعرف T1 بحسب ال torque على
+
+291
+00:26:59,180 --> 00:27:02,640
+ال input shaft بحسب ال torque على ال input shaft
+
+292
+00:27:02,640 --> 00:27:10,920
+طيب
+
+293
+00:27:10,920 --> 00:27:17,180
+نحل
+
+294
+00:27:17,180 --> 00:27:19,140
+كمان example بعدين ننهي
+
+295
+00:27:32,940 --> 00:27:37,580
+الجزء بين اكسسات اتصالات اتصالات اتصالات اتصالات
+
+296
+00:27:37,580 --> 00:27:37,800
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+297
+00:27:37,800 --> 00:27:43,260
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+298
+00:27:43,260 --> 00:27:45,960
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+299
+00:27:45,960 --> 00:27:46,460
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+300
+00:27:46,460 --> 00:27:46,740
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+301
+00:27:46,740 --> 00:27:52,100
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+302
+00:27:52,100 --> 00:27:58,580
+اتصالات اتصالات اتصال
+
+303
+00:27:59,900 --> 00:28:05,860
+احنا اذا فاكرين من الشكل الشكل
+
+304
+00:28:05,860 --> 00:28:19,360
+السابق هاد الشكل بتكون
+
+305
+00:28:19,360 --> 00:28:26,280
+ان ال omega واحد max omega واحد max omega واحد max
+
+306
+00:28:26,280 --> 00:28:33,120
+plus omegaعلى cosine ألفة
+
+307
+00:28:33,120 --> 00:28:39,320
+وبتكون maximum عن صفر أمية و تمانين هذا بيكون
+
+308
+00:28:39,320 --> 00:28:45,320
+omega one is at theta بيستوى صفر أمية و تمانين و
+
+309
+00:28:45,320 --> 00:28:51,900
+تلت مية و ستين degree بتكون omega واحد بيستوى
+
+310
+00:28:51,900 --> 00:28:57,020
+omega لما تان theta
+
+311
+00:29:00,520 --> 00:29:05,500
+بالساوية زاد او ناقص الجزر التربيهي لكوساين الف
+
+312
+00:29:05,500 --> 00:29:09,140
+يعني
+
+313
+00:29:09,140 --> 00:29:14,280
+لما تان ثيتا سواء زاد او ناقص الجزر التربيهي
+
+314
+00:29:14,280 --> 00:29:21,700
+لكوساين التمنتاشر ديجري ومنها باوجد الثيتا اللى
+
+315
+00:29:21,700 --> 00:29:26,000
+بتكون عندها اميجا واحد بالساوية اميجا اتنين يعني
+
+316
+00:29:26,000 --> 00:29:34,220
+هتكون عند النقاطخمسة و ستة و سبعة و تمانية خمسة و
+
+317
+00:29:34,220 --> 00:29:40,780
+ستة و سبعة و تمانية طبعا ال .. الزاوية تتغير
+
+318
+00:29:40,780 --> 00:29:46,000
+بالزاوية .. الزاوية Alpha لأنه يعني اللي هتسير
+
+319
+00:29:46,000 --> 00:29:49,660
+بتغير زاوية Alpha اللي الليفس هذا يا ما همغط بشكل
+
+320
+00:29:49,660 --> 00:29:52,700
+هذا وبالتالي هذه هتنزل او يضغط بهذا الاتجاه
+
+321
+00:29:57,740 --> 00:30:02,560
+هيك بنكون خلصنا ال chapter أعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oM7hz-teOxc_raw.json b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oM7hz-teOxc_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..aba3f33ed547442547dc065f0b1a9ad32f3563d6
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oM7hz-teOxc_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3258, "start": 4.96, "end": 32.58, "text": "بسم الله الرحمن الرحيم السلام عليكم ورحمة الله وبركاته اليوم هنكمل اللي هو chapter mechanisms with lower pair في المحاضرة الأولى غطينا ال exact straight line mechanism و اتعرفنا على pecelliar mechanism و عملنا ال mathematics of the mechanism في المحاضرة التانية اتعرفنا على ال steering mechanisms و عرفنا ال condition for correct steering اللي هي quotient phi minus quotient theta بالساوية", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21136, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224, 45595, 20498, 8032, 1863, 24793, 1211, 13672, 1829, 31439, 7187, 4236, 13539, 365, 3126, 6119, 8978, 9673, 5016, 46958, 25720, 16247, 12610, 7578, 32771, 9566, 1829, 8315, 2423, 1900, 2997, 1622, 7513, 4032, 1975, 2655, 3615, 28480, 8315, 15844, 520, 4164, 9448, 7513, 4032, 6225, 42213, 8315, 2423, 18666, 295, 264, 7513, 8978, 9673, 5016, 46958, 25720, 16712, 7649, 10632, 1975, 2655, 3615, 28480, 8315, 15844, 2423, 14823, 15902, 4032, 6225, 28480, 8315, 2423, 4188, 337, 3006, 14823, 13672, 1829, 39896, 9641, 1196, 13107, 3175, 9641, 1196, 9725, 20666, 3794, 995, 2407, 10632], "avg_logprob": -0.1879006451011723, "compression_ratio": 1.9359430604982206, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 4.96, "end": 5.38, "word": "بسم", "probability": 0.88671875}, {"start": 5.38, "end": 5.68, "word": " الله", "probability": 0.966796875}, {"start": 5.68, "end": 6.12, "word": " الرحمن", "probability": 0.96435546875}, {"start": 6.12, "end": 6.6, "word": " الرحيم", "probability": 0.9947916666666666}, {"start": 6.6, "end": 7.1, "word": " السلام", "probability": 0.92236328125}, {"start": 7.1, "end": 7.56, "word": " عليكم", "probability": 0.9580078125}, {"start": 7.56, "end": 7.92, "word": " ورحمة", "probability": 0.891357421875}, {"start": 7.92, "end": 8.16, "word": " الله", "probability": 0.97119140625}, {"start": 8.16, "end": 8.96, "word": " 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57.55, "word": " joint", "probability": 0.93505859375}, {"start": 57.55, "end": 58.39, "word": " ال", "probability": 0.98046875}, {"start": 58.39, "end": 58.87, "word": " universal", "probability": 0.900390625}], "temperature": 1.0}, {"id": 3, "seek": 7516, "start": 61.58, "end": 75.16, "text": "joint تستخدم لوصل عمودين بينهم زاوية زي ما انتوا شايفين انا عندي هي عمود وهي عمود مش على نفس الاستقام في بينهم زاوية", "tokens": [5134, 686, 6055, 14851, 9778, 40448, 45164, 36520, 6225, 2304, 23328, 9957, 49374, 16095, 30767, 995, 2407, 10632, 30767, 1829, 19446, 16472, 2655, 14407, 13412, 995, 33911, 9957, 1975, 8315, 18871, 16254, 39896, 6225, 2304, 23328, 37037, 1829, 6225, 2304, 23328, 37893, 15844, 8717, 36178, 42963, 14851, 4587, 10943, 8978, 49374, 16095, 30767, 995, 2407, 10632], "avg_logprob": -0.16447368630191736, "compression_ratio": 1.5769230769230769, "no_speech_prob": 0.0, "words": [{"start": 61.580000000000005, "end": 62.7, "word": "joint", "probability": 0.50909423828125}, 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0.82568359375}, {"start": 621.22, "end": 621.32, "word": " ال", "probability": 0.446533203125}, {"start": 621.32, "end": 621.66, "word": " cross", "probability": 0.91650390625}, {"start": 621.66, "end": 621.94, "word": " يعني", "probability": 0.883056640625}, {"start": 621.94, "end": 622.22, "word": " هكون", "probability": 0.61767578125}, {"start": 622.22, "end": 622.5, "word": " عندي", "probability": 0.713134765625}, {"start": 622.5, "end": 623.74, "word": " واحد", "probability": 0.946533203125}, {"start": 623.74, "end": 624.12, "word": " minus", "probability": 0.97900390625}, {"start": 624.12, "end": 624.52, "word": " cosine", "probability": 0.92578125}, {"start": 624.52, "end": 625.12, "word": " square", "probability": 0.875}, {"start": 625.12, "end": 625.82, "word": " theta", "probability": 0.8642578125}, {"start": 625.82, "end": 626.42, "word": " sine", "probability": 0.830078125}, {"start": 626.42, "end": 627.04, "word": " square", "probability": 0.8759765625}, {"start": 627.04, 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"seek": 146617, "start": 1438.79, "end": 1466.17, "text": "عال output هاي ال flywheel عال output عليها ال T out بدي أسميها T واحد T واحد هكون متحركة في إيش I", "tokens": [3615, 6027, 5598, 8032, 47302, 2423, 3603, 22830, 6225, 6027, 5598, 25894, 11296, 2423, 314, 484, 4724, 16254, 5551, 38251, 1829, 11296, 314, 36764, 24401, 314, 36764, 24401, 8032, 30544, 44650, 5016, 31747, 3660, 8978, 11933, 1829, 8592, 286], "avg_logprob": -0.3123046875, "compression_ratio": 1.2869565217391303, "no_speech_prob": 0.0, "words": [{"start": 1438.79, "end": 1439.09, "word": "عال", "probability": 0.74755859375}, {"start": 1439.09, "end": 1439.51, "word": " output", "probability": 0.90380859375}, {"start": 1439.51, "end": 1439.85, "word": " هاي", "probability": 0.29437255859375}, {"start": 1439.85, "end": 1439.93, "word": " ال", "probability": 0.7490234375}, {"start": 1439.93, "end": 1440.35, "word": " flywheel", "probability": 0.69775390625}, {"start": 1440.35, "end": 1440.59, "word": " عال", 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1788.38, "end": 1788.54, "word": " يا", "probability": 0.475341796875}, {"start": 1788.54, "end": 1788.74, "word": " ما", "probability": 0.39111328125}, {"start": 1788.74, "end": 1789.18, "word": " همغط", "probability": 0.66204833984375}, {"start": 1789.18, "end": 1789.66, "word": " بشكل", "probability": 0.7466634114583334}, {"start": 1789.66, "end": 1790.04, "word": " هذا", "probability": 0.8291015625}, {"start": 1790.04, "end": 1790.46, "word": " وبالتالي", "probability": 0.83857421875}, {"start": 1790.46, "end": 1790.64, "word": " هذه", "probability": 0.2259521484375}, {"start": 1790.64, "end": 1791.22, "word": " هتنزل", "probability": 0.9951171875}, {"start": 1791.22, "end": 1791.52, "word": " او", "probability": 0.712890625}, {"start": 1791.52, "end": 1791.98, "word": " يضغط", "probability": 0.99658203125}, {"start": 1791.98, "end": 1792.22, "word": " بهذا", "probability": 0.92236328125}, {"start": 1792.22, "end": 1792.7, "word": " الاتجاه", "probability": 0.91015625}], "temperature": 1.0}, {"id": 67, "seek": 180256, "start": 1797.74, "end": 1802.56, "text": "هيك بنكون خلصنا ال chapter أعطيكوا العافية", "tokens": [3224, 1829, 4117, 44945, 30544, 16490, 1211, 9381, 8315, 2423, 7187, 5551, 3615, 9566, 1829, 4117, 14407, 18863, 31845, 10632], "avg_logprob": -0.30747768424806143, "compression_ratio": 0.9594594594594594, "no_speech_prob": 1.5497207641601562e-06, "words": [{"start": 1797.74, "end": 1798.08, "word": "هيك", "probability": 0.64752197265625}, {"start": 1798.08, "end": 1798.44, "word": " بنكون", "probability": 0.6533203125}, {"start": 1798.44, "end": 1799.1, "word": " خلصنا", "probability": 0.988525390625}, {"start": 1799.1, "end": 1799.42, "word": " ال", "probability": 0.9248046875}, {"start": 1799.42, "end": 1800.12, "word": " chapter", "probability": 0.9560546875}, {"start": 1800.12, "end": 1802.08, "word": " أعطيكوا", "probability": 0.7768147786458334}, {"start": 1802.08, "end": 1802.56, "word": " العافية", "probability": 0.8375651041666666}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1802.541875, "duration_after_vad": 1686.3399999999956}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oM7hz-teOxc_raw.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oM7hz-teOxc_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9039ccf359c91f46f826097129fcd44ad3d64507
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oM7hz-teOxc_raw.srt
@@ -0,0 +1,1284 @@
+1
+00:00:04,960 --> 00:00:08,160
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,160 --> 00:00:12,080
+وبركاته اليوم هنكمل اللي هو chapter mechanisms
+
+3
+00:00:12,080 --> 00:00:16,600
+with lower pair في المحاضرة الأولى غطينا ال exact
+
+4
+00:00:16,600 --> 00:00:19,000
+straight line mechanism و اتعرفنا على pecelliar
+
+5
+00:00:19,000 --> 00:00:22,280
+mechanism و عملنا ال mathematics of the mechanism
+
+6
+00:00:22,280 --> 00:00:25,040
+في المحاضرة التانية اتعرفنا على ال steering
+
+7
+00:00:25,040 --> 00:00:28,980
+mechanisms و عرفنا ال condition for correct
+
+8
+00:00:28,980 --> 00:00:31,780
+steering اللي هي quotient phi minus quotient theta
+
+9
+00:00:31,780 --> 00:00:38,790
+بالساويةB على C اتعرفنا
+
+10
+00:00:38,790 --> 00:00:43,830
+على ال Davis Davis steering gear mechanism و بعدين
+
+11
+00:00:43,830 --> 00:00:47,250
+اتعرفنا على ال Ackerman steering gear mechanism
+
+12
+00:00:47,250 --> 00:00:50,510
+اليوم هنتكمل هنتعرف على اشي جديد اللي هي universal
+
+13
+00:00:50,510 --> 00:00:54,690
+or hoax joint او ممكن نسموه في بعض الكتب universal
+
+14
+00:00:54,690 --> 00:00:58,390
+or hoax coupling ممكن نسموه coupling or joint ال
+
+15
+00:00:58,390 --> 00:00:58,870
+universal
+
+16
+00:01:01,580 --> 00:01:07,520
+joint تستخدم لوصل عمودين بينهم زاوية زي ما انتوا
+
+17
+00:01:07,520 --> 00:01:12,460
+شايفين انا عندي هي عمود وهي عمود مش على نفس
+
+18
+00:01:12,460 --> 00:01:18,160
+الاستقام في بينهم زاويةفي نهاية كل شفت في عندي
+
+19
+00:01:18,160 --> 00:01:22,000
+شوكة fork هذا ال input شفت هي ال fork وال output
+
+20
+00:01:22,000 --> 00:01:28,340
+عليه fork و بينهم صليب cross بينهم صليب الحركة
+
+21
+00:01:28,340 --> 00:01:32,700
+تنقل من ال input shaft لل cross و من ال cross لل
+
+22
+00:01:32,700 --> 00:01:38,560
+fork تاعة ال output shaft فمعناته بشكل أساسي في
+
+23
+00:01:38,560 --> 00:01:43,860
+عندي input shaft output shaft في بينهم زاويةو في
+
+24
+00:01:43,860 --> 00:01:48,340
+اندي هين لاحظوا ان زاوية ال cross زاوية تسعين درجة
+
+25
+00:01:48,340 --> 00:01:53,320
+زاوية تسعين درجة ال cross ال cross بوصل بين الفورك
+
+26
+00:01:53,320 --> 00:01:55,880
+على ال input shaft و الفورك على ال output shaft
+
+27
+00:01:55,880 --> 00:01:57,900
+هاد ال universal joint
+
+28
+00:02:06,120 --> 00:02:11,740
+الان اذا عرفنا حكينا ال omega one او ال n one هي
+
+29
+00:02:11,740 --> 00:02:16,700
+ال omega .. omega هي ال speed .. omega هي ال speed
+
+30
+00:02:16,700 --> 00:02:21,720
+لل driving shaft بال .. بال radians per second
+
+31
+00:02:21,720 --> 00:02:26,480
+والان هي ال speed لل driving shaft بال .. بال rpm
+
+32
+00:02:26,480 --> 00:02:31,200
+وال omega واحد هي ال speed لل driving shaft بال
+
+33
+00:02:31,200 --> 00:02:34,780
+radians per second والان واحد هي ال speed لل
+
+34
+00:02:34,780 --> 00:02:41,640
+driving shaftin rpm العلاقة بين ال speed of a
+
+35
+00:02:41,640 --> 00:02:45,680
+driven shaft بتاع ال speed of a driving shaft
+
+36
+00:02:45,680 --> 00:02:53,710
+بتساوي اللي هي cos αعلى واحد cosine ألفة على واحد
+
+37
+00:02:53,710 --> 00:02:59,010
+نقص cosine square ثتا cosine square ألفة ثتا هي ال
+
+38
+00:02:59,010 --> 00:03:04,390
+angle of rotation of the driving shaft about its
+
+39
+00:03:04,390 --> 00:03:09,670
+own axis يعني الشافق بدور زي هيك هذه ثتا ال theta
+
+40
+00:03:09,670 --> 00:03:13,490
+هي ال angle of rotation of the driving shaft about
+
+41
+00:03:13,490 --> 00:03:18,510
+its own axis الألفة هي ال angle between the two
+
+42
+00:03:18,510 --> 00:03:22,890
+shafts يعني دي هي one shaftوهاي one shaft وهذه
+
+43
+00:03:22,890 --> 00:03:28,230
+الزاوية alpha معناته
+
+44
+00:03:28,230 --> 00:03:31,610
+ان ال ratio between the speeds of the driven and
+
+45
+00:03:31,610 --> 00:03:34,870
+driving shaft omega واحد على omega او N واحد على N
+
+46
+00:03:34,870 --> 00:03:38,270
+بيساوي cosine alpha على واحد minus cosine square
+
+47
+00:03:38,270 --> 00:03:40,070
+theta على sine square alpha
+
+48
+00:03:42,610 --> 00:03:45,530
+قنقت المعادلة على ال end المعادلة اميجا واحد مع
+
+49
+00:03:45,530 --> 00:03:49,290
+اميجا واحد بستوي اميجا كوسين الف ع واحد مانقس
+
+50
+00:03:49,290 --> 00:03:53,550
+كوسين square ثيتا ع صين square الف طبعا ال
+
+51
+00:03:53,550 --> 00:03:57,210
+derivation للمعادلات هذه يعني خارج انطاق ال course
+
+52
+00:03:57,210 --> 00:04:01,530
+بتاعنا عشان تعمل ال derivation لازم تحطaccording
+
+53
+00:04:01,530 --> 00:04:05,350
+system على ال driving shaft fix according to the
+
+54
+00:04:05,350 --> 00:04:08,290
+driving shaft و fix according to the system on the
+
+55
+00:04:08,290 --> 00:04:12,030
+driven shaft و fix according to the system on the
+
+56
+00:04:12,030 --> 00:04:16,530
+cross و تعمل transformation من .. من .. من .. من
+
+57
+00:04:16,530 --> 00:04:20,330
+.. تبدأ من عند ال driving shaft ل ال cross و بعدين
+
+58
+00:04:20,330 --> 00:04:22,750
+تعمل transformation من ال cross لحد ال driven
+
+59
+00:04:22,750 --> 00:04:28,630
+shaftفبدك .. يعني هتستخدم rotation matrices عشان
+
+60
+00:04:28,630 --> 00:04:32,330
+تنتقل من ال input shaft لل output shaft او من ال
+
+61
+00:04:32,330 --> 00:04:34,950
+driving shaft لل driven shaft فانا ممكن اتغطى في
+
+62
+00:04:34,950 --> 00:04:39,750
+course متقدم طيب على اي حال علاقة بين ال .. سرعة
+
+63
+00:04:39,750 --> 00:04:43,010
+ال .. ال omega واحدة هي سرعة ال driving .. ال
+
+64
+00:04:43,010 --> 00:04:45,810
+driven shaft omega cosine alpha على واحد ناقصان
+
+65
+00:04:45,810 --> 00:04:52,570
+square theta sine square alpha انا عندي omega واحد
+
+66
+00:04:55,020 --> 00:05:06,730
+بالسوء Omega Cos Alphaعلى 1-cos² θ sin² α طبعا
+
+67
+00:05:06,730 --> 00:05:13,550
+الزاوية Alpha هي الزاوية بين محوري ال input shaft
+
+68
+00:05:13,550 --> 00:05:18,130
+و output shaft بتكون ثابتة معناته الزاوية اللي
+
+69
+00:05:18,130 --> 00:05:21,690
+بتتغير هي الزاوية θ اللي هي زاوية دوران زاوية
+
+70
+00:05:21,690 --> 00:05:25,310
+دوران ال input shaft حوالي محوره زاوية دوران ال
+
+71
+00:05:25,310 --> 00:05:30,990
+input shaft حوالين محورهومجا واحد هتكون maximum
+
+72
+00:05:30,990 --> 00:05:34,110
+لما
+
+73
+00:05:34,110 --> 00:05:40,030
+المقام بيكون minimum لما المقام بيكون minimum عشان
+
+74
+00:05:40,030 --> 00:05:43,290
+المقام يكون minimum لإن واحد ناقص لازم ال cosine
+
+75
+00:05:43,290 --> 00:05:44,890
+تكون maximum
+
+76
+00:05:47,030 --> 00:05:51,650
+يعني أميجا واحد will be maximum لما المقام يكون
+
+77
+00:05:51,650 --> 00:05:55,630
+minimum وعشان المقام يكون minimum لازم ال cosine
+
+78
+00:05:55,630 --> 00:05:58,710
+square تكون maximum و ال maximum value of cosine
+
+79
+00:05:58,710 --> 00:06:03,110
+square اللي هي بالساوي واحد ال cosine square theta
+
+80
+00:06:03,110 --> 00:06:07,430
+بالساوي واحد لما ال theta الساوي صفر يعني هاي ال
+
+81
+00:06:07,430 --> 00:06:09,950
+cosine function هاي ال theta
+
+82
+00:06:15,300 --> 00:06:22,240
+طبعا الاربيع بتبقى تصير موجة بقى التربيع
+
+83
+00:06:22,240 --> 00:06:28,340
+بتاعها هتصير
+
+84
+00:06:28,340 --> 00:06:33,740
+التربيع بتاعها بالشكل هذا عند
+
+85
+00:06:33,740 --> 00:06:41,660
+سفر تسعين مية و تمانين متين و سبعين تلت مية و ستين
+
+86
+00:06:41,660 --> 00:06:44,240
+درجة هتكون
+
+87
+00:06:45,500 --> 00:06:51,680
+هتكون ال cosine square maximum عند الزرع سفر وعند
+
+88
+00:06:51,680 --> 00:06:56,440
+الزرع مية و تمانين وعند تلت مية و ستين معناه
+
+89
+00:06:56,440 --> 00:07:01,100
+اوميجا واحد maximum هتكون
+
+90
+00:07:01,100 --> 00:07:07,600
+omega cosine alpha على واحد minus sine square
+
+91
+00:07:07,600 --> 00:07:11,000
+alpha الواحد minus sine square يعني cosine square
+
+92
+00:07:11,000 --> 00:07:17,430
+يعني اوميجا cosine alphaعلى cos²α هيروح cos مع cos
+
+93
+00:07:17,430 --> 00:07:23,490
+بستوي omega على cos α المعناته ال maximum value
+
+94
+00:07:23,490 --> 00:07:27,710
+للمaximum المعناته واضحة ان السرعة السرعة على فرض
+
+95
+00:07:27,710 --> 00:07:31,070
+ان سرعة ال input shaft ثابتة ال output shaft تكون
+
+96
+00:07:31,070 --> 00:07:36,130
+السرعة ثابتة فهيكون ال maximum value ل ال driven
+
+97
+00:07:36,130 --> 00:07:42,330
+او ال output shaft بستوي omega على cos α الآن
+
+98
+00:07:43,620 --> 00:07:47,720
+الاميجا واحد الصراع بتاعت ال driven shaft بتكون
+
+99
+00:07:47,720 --> 00:07:55,300
+minimum لما دي المقام يكون maximum عشان المقام
+
+100
+00:07:55,300 --> 00:07:58,660
+يكون maximum لازم هذا ال term I have to minimize
+
+101
+00:07:58,660 --> 00:08:02,560
+it يعني لازم يكون cosine square ثتة تساوي سفر وال
+
+102
+00:08:02,560 --> 00:08:07,620
+cosine square ثتة تساوي سفر عن تسعين ومتين وسبعين
+
+103
+00:08:07,620 --> 00:08:13,570
+يعني هتكون الاميجا واحدminimum هتكون سوى omega
+
+104
+00:08:13,570 --> 00:08:17,830
+cosine alpha على واحد ناقص زير يعني هتكون سوى
+
+105
+00:08:17,830 --> 00:08:23,050
+omega cosine alpha معناته
+
+106
+00:08:23,050 --> 00:08:26,770
+ال maximum value ل ال driven shaft سوى omega على
+
+107
+00:08:26,770 --> 00:08:31,150
+cosine alpha و ال minimum value of speed of
+
+108
+00:08:31,150 --> 00:08:34,750
+rotation of a driven shaft هتكون omega cosine
+
+109
+00:08:34,750 --> 00:08:38,270
+alpha عندي
+
+110
+00:08:38,270 --> 00:08:38,790
+هنا plot
+
+111
+00:08:41,710 --> 00:08:47,770
+الدائرة هذه .. هذه الدائرة بتمثل سرعة .. نص القطر
+
+112
+00:08:47,770 --> 00:08:52,730
+بتاعها بيمثل سرعة ل driving shaft لاحظوا نص القطر
+
+113
+00:08:52,730 --> 00:09:02,870
+للدائرة أشماله ثابت اللبس هذا بيمثل سرعةالـ Driven
+
+114
+00:09:02,870 --> 00:09:06,390
+shaft احنا حكينا الـ Driven shaft بتكون سرعته
+
+115
+00:09:06,390 --> 00:09:10,950
+maximum عند سفر ومية و تمانين و تلت مية و ستين سفر
+
+116
+00:09:10,950 --> 00:09:13,370
+ما هي نفسها تلت مية و ستين يعني هتكون هاي الزاوية
+
+117
+00:09:13,370 --> 00:09:17,290
+لو حكيت ال angle of rotation هاي السفر هاي بتكون
+
+118
+00:09:17,290 --> 00:09:20,550
+maximum و عند مية و تمانين و تلت مية و ستين يعني
+
+119
+00:09:20,550 --> 00:09:24,230
+هي عند هنا omega واحد maximum و هنا omega اتنين
+
+120
+00:09:24,230 --> 00:09:29,730
+maximum و بتكون minimumيعني تسعين و ميتين و سبعين
+
+121
+00:09:29,730 --> 00:09:34,490
+هذه تسعين وهذه امجا واحد minimum وهذه امجا واحد من
+
+122
+00:09:34,490 --> 00:09:42,270
+تسعين و ميتين و سبعين الان عند النقاط خمسة و ستة و
+
+123
+00:09:42,270 --> 00:09:47,130
+سبعة و تمانية بتكون الامجا واحد بالساوي الامجا
+
+124
+00:09:47,130 --> 00:09:55,910
+يعني at points at
+
+125
+00:09:58,010 --> 00:10:04,450
+خمسة و ستة و سبعة و تمانية بيكون عندي omega واحد
+
+126
+00:10:04,450 --> 00:10:08,910
+بالساوية omega اللي عموما حكينا يعني هتكون omega
+
+127
+00:10:08,910 --> 00:10:12,870
+واحد بالساوية omega يعني هتكون عندي واحد بالساوية
+
+128
+00:10:12,870 --> 00:10:18,460
+cosine alphaعلى واحد minus cosine square theta
+
+129
+00:10:18,460 --> 00:10:22,500
+sine square alpha نعمل ال cross يعني هكون عندي
+
+130
+00:10:22,500 --> 00:10:27,860
+واحد minus cosine square theta sine square alpha
+
+131
+00:10:27,860 --> 00:10:35,060
+بيساوي cosine alphaيعني خدنا نظروا الطرفين minus
+
+132
+00:10:35,060 --> 00:10:40,720
+minus plus minus يعني cosine square theta sin
+
+133
+00:10:40,720 --> 00:10:47,820
+square alpha بسوء واحد minus cosine alpha يعني
+
+134
+00:10:47,820 --> 00:10:52,500
+cosine square theta بسوء واحد minus cosine alpha
+
+135
+00:10:52,500 --> 00:10:58,400
+على sin square على
+
+136
+00:10:58,400 --> 00:11:08,070
+sin square alphaالان sin²θ زي cos²θ بسوء واحد
+
+137
+00:11:08,070 --> 00:11:15,770
+معناته sin²θ هي سوء واحد minus cos²θ هي سوء واحد
+
+138
+00:11:15,770 --> 00:11:23,770
+minus بتدعو دلوقتي cos²θ هي واحد minus cos α على
+
+139
+00:11:23,770 --> 00:11:31,160
+sin²θالفة يعني هتكون ساوى sine square الفة هتكون
+
+140
+00:11:31,160 --> 00:11:39,080
+عندي sine square الفة minus واحد زائد cosine الفة
+
+141
+00:11:39,080 --> 00:11:47,340
+هبسط أكتر يعني هتكون عندي sine square ال theta ال
+
+142
+00:11:47,340 --> 00:11:52,520
+sine square عبارة عن واحد ناقص cosine square هتكون
+
+143
+00:11:52,520 --> 00:11:58,930
+واحد minus cosine squareالفة minus واحد زائد
+
+144
+00:11:58,930 --> 00:12:05,610
+cosine الفة على sine square الفة هاروح واحد مع
+
+145
+00:12:05,610 --> 00:12:12,070
+واحد هتكون عندي هاخد cosine الفة في واحد minus
+
+146
+00:12:12,070 --> 00:12:19,530
+cosine الفة على sine square الفة الان معناته tenth
+
+147
+00:12:19,530 --> 00:12:28,060
+square tenth square theta tenth squareثيتا هيكون
+
+148
+00:12:28,060 --> 00:12:36,940
+سوى sine square ثيتا على cosine square ثيتا اللي
+
+149
+00:12:36,940 --> 00:12:42,340
+هو sine square هيبقى عن cosine alpha في
+
+150
+00:12:42,340 --> 00:12:50,060
+واحد minus cosine alpha على sine square alpha الان
+
+151
+00:12:50,060 --> 00:12:55,330
+cosine square ثيتابدي احصير عندي هين هعكس احصير
+
+152
+00:12:55,330 --> 00:13:05,750
+عندي هين تحت في sin² α على 1-cos α معناه تحيره
+
+153
+00:13:05,750 --> 00:13:12,010
+عندي sin² مع sin² 1-cos او 1-cos بيستوي ايش cos α
+
+154
+00:13:12,010 --> 00:13:17,970
+معناته tan θ هتكون
+
+155
+00:13:17,970 --> 00:13:25,360
+plus plus or minus الجزر التربيعيل cos α معناته
+
+156
+00:13:25,360 --> 00:13:30,260
+بتكون omega واحد بالسواء omega اتنين لما انت نقص
+
+157
+00:13:30,260 --> 00:13:34,720
+جزر التربيع ل cos α اللي هي هذه العلاقة معناته
+
+158
+00:13:34,720 --> 00:13:39,620
+omega واحد و ال equal to omega اتنين هتكون سرعة ال
+
+159
+00:13:39,620 --> 00:13:44,200
+input shaft و السرعة ال output shaft لما انت نقص
+
+160
+00:13:44,200 --> 00:13:47,780
+جزر التربيع ل cos α اللي هي عند نقاط خمسة و ستة و
+
+161
+00:13:47,780 --> 00:13:52,790
+سبعة و تمانيةعند النقطة خمسة و خمسة و ستة و سبعة و
+
+162
+00:13:52,790 --> 00:13:56,310
+تمانية بيكون tan θ بالثاوية زاد أو ناقص جزء
+
+163
+00:13:56,310 --> 00:14:06,010
+التربية إلى cos α خلّيني
+
+164
+00:14:06,010 --> 00:14:16,530
+أرجع للمعادلة تاعتنا أنا
+
+165
+00:14:16,530 --> 00:14:17,630
+عندي omega واحد
+
+166
+00:14:20,250 --> 00:14:28,070
+أوميجا كوصين ألفة على واحد ماينوس كوصين سكوير ثيتا
+
+167
+00:14:28,070 --> 00:14:35,250
+سين سكوير ألفة عشان
+
+168
+00:14:35,250 --> 00:14:38,230
+اوجد ال angular acceleration للعجلة الزاوية لل
+
+169
+00:14:38,230 --> 00:14:44,170
+driven shaft بده اشتق احكي دي اوميجا واحد بي دي تي
+
+170
+00:14:44,170 --> 00:14:49,630
+طبعا ال alpha is a constantوالـ omega is variable
+
+171
+00:14:49,630 --> 00:14:54,570
+يعني أولش هكون عنده يعني مشتقت الأول في التاني زي
+
+172
+00:14:54,570 --> 00:14:57,490
+هدي التاني مشتقت الأول ممكن بعملها اشتقاق بحصه على
+
+173
+00:14:57,490 --> 00:15:02,430
+ال alpha واحد العلاقة هذه ال alpha واحد بيساوي
+
+174
+00:15:02,430 --> 00:15:05,150
+minus omega squared cosine alpha في sine two theta
+
+175
+00:15:05,150 --> 00:15:08,010
+sine squared alpha على واحد minus cosine squared
+
+176
+00:15:08,010 --> 00:15:13,870
+theta sine squared alpha لكل تربيع بعدين
+
+177
+00:15:13,870 --> 00:15:19,690
+أوجد وين وينبتكون ال angular acceleration maximum
+
+178
+00:15:19,690 --> 00:15:24,830
+يعني أخد ال second derivative لل .. لل .. لل omega
+
+179
+00:15:24,830 --> 00:15:30,030
+واحد مع ال time و سوّها لل zero و من المعادلة هذه
+
+180
+00:15:30,030 --> 00:15:33,390
+حسب قيم theta بتطلع عنده ال angular acceleration
+
+181
+00:15:33,390 --> 00:15:36,030
+is maximum لما ال cosine two theta بيستوى اتنين
+
+182
+00:15:36,030 --> 00:15:40,570
+sine square alpha على اتنين ناقص sine square alpha
+
+183
+00:15:40,570 --> 00:15:44,710
+هذه ال condition for maximum angular acceleration
+
+184
+00:15:44,710 --> 00:15:46,210
+of the driven shaft
+
+185
+00:15:48,930 --> 00:15:52,830
+الان احنا حكينا ال .. ال .. ال .. ال .. ال speed
+
+186
+00:15:52,830 --> 00:15:59,170
+of the driven shaft fluctuate يعني بتتأرجح بين
+
+187
+00:15:59,170 --> 00:16:04,370
+قيمة الدنيا omega واحد minimum و قيمة الدنيا قيمة
+
+188
+00:16:04,370 --> 00:16:08,150
+قصوى omega واحد max ممكن نحسب ال maximum
+
+189
+00:16:08,150 --> 00:16:11,810
+fluctuation of speed التأرجح الأقصى في السرعة
+
+190
+00:16:11,810 --> 00:16:16,420
+هيكون القيمة العظمى ناقص القيبةالدنيا القيمة
+
+191
+00:16:16,420 --> 00:16:19,100
+العظمى هي omega على cosine alpha minus omega على
+
+192
+00:16:19,100 --> 00:16:22,900
+cosine alpha أخد omega عام مشترك بيصير عندي واحد
+
+193
+00:16:22,900 --> 00:16:24,980
+على cosine alpha ونقص cosine alpha أخد cosine
+
+194
+00:16:24,980 --> 00:16:28,760
+alpha هتصير عندي هنا واحد minus cosine تربيه ألفة
+
+195
+00:16:28,760 --> 00:16:31,060
+واحد نقص cosine تربيه ألفة هيبقى عندي sin تربيه
+
+196
+00:16:31,060 --> 00:16:34,700
+sin تربيه ألفة sin alpha على cosine alpha اللي هي
+
+197
+00:16:34,700 --> 00:16:39,860
+10 الف هتكون omega 10 الف في sin الف for small
+
+198
+00:16:39,860 --> 00:16:45,420
+alpha for small alpha عادة بتكون smallبيكون عندي
+
+199
+00:16:45,420 --> 00:16:53,740
+تقريبا ال tan α بيساوي sin α تقريبا بيساوي تقريبا
+
+200
+00:16:53,740 --> 00:16:57,580
+الألفة بوحدة ال radians بيعني هتكون هذه الف في الف
+
+201
+00:16:57,580 --> 00:17:01,680
+هتكون تقريبا ال maximum fluctuation of speed
+
+202
+00:17:01,680 --> 00:17:05,700
+بيساوي omega في الف تربيه والالفة الوحدة بتاعتها
+
+203
+00:17:05,700 --> 00:17:08,160
+بال radians بال radians
+
+204
+00:17:19,520 --> 00:17:32,520
+في عندي اللي هو ال double hoax joint عشان
+
+205
+00:17:32,520 --> 00:17:38,100
+اضبن انه انا عندي هاي input shaft و هاي output
+
+206
+00:17:38,100 --> 00:17:45,340
+shaft فبحط تنتين بحط هنا universal joint و هنا
+
+207
+00:17:45,340 --> 00:17:47,860
+universal joint عشان كده بيسموها double universal
+
+208
+00:17:47,860 --> 00:17:55,470
+jointعشان اضمن ان سرعة ال output shaft تساوي سرعة
+
+209
+00:17:55,470 --> 00:17:59,430
+ال input shaft يعني سرعة uniform speed لازم ال
+
+210
+00:17:59,430 --> 00:18:03,410
+axes محور ال driver و محور ال driven يكونوا واقعين
+
+211
+00:18:03,410 --> 00:18:06,650
+في نفس المستوى axes of driving and driving must be
+
+212
+00:18:06,650 --> 00:18:12,600
+in the same planeلازم الزاوية اللي مسويها ال
+
+213
+00:18:12,600 --> 00:18:17,060
+driving مع ال intermediate shaft هي نفس الزاوية
+
+214
+00:18:17,060 --> 00:18:18,820
+اللي مسويها ال driven shaft مع ال intermediate
+
+215
+00:18:18,820 --> 00:18:22,720
+shaft يعني .. يعني باختصار يعني هيكون ال driving
+
+216
+00:18:22,720 --> 00:18:28,480
+shaft موازي لل driven shaft يعني ال driving is
+
+217
+00:18:28,480 --> 00:18:31,960
+parallel لل driven shaft هاي أول condition،
+
+218
+00:18:31,960 --> 00:18:36,150
+condition تانيالـ axes of the driver shaft and
+
+219
+00:18:36,150 --> 00:18:40,130
+driven shaft must lie on the same plane في الحالة
+
+220
+00:18:40,130 --> 00:18:44,590
+هذه أنا I assure uniform speed of the driven shaft
+
+221
+00:18:44,590 --> 00:18:50,590
+assuming uniform speed of the driving shaft نحل
+
+222
+00:18:50,590 --> 00:18:56,330
+examples يمكن نحل one or two examples والexamples
+
+223
+00:18:56,330 --> 00:18:58,130
+تاني يمكن نحلها المعيد معاكم
+
+224
+00:19:02,940 --> 00:19:07,200
+two shafts with an included angle او مية و ستين
+
+225
+00:19:07,200 --> 00:19:13,300
+درجة يعني هاي الشافت و فيه joint عندهين و هاي
+
+226
+00:19:13,300 --> 00:19:20,760
+الشافت التاني و الزواب بينهم مية و ستين درجة يعني
+
+227
+00:19:20,760 --> 00:19:27,720
+الزواب هذه هتكون عشرين طيب
+
+228
+00:19:27,720 --> 00:19:33,610
+are connected by a hoax joint عندهين hoax jointthe
+
+229
+00:19:33,610 --> 00:19:36,550
+driving shaft runs at a speed سرعة ال driving
+
+230
+00:19:36,550 --> 00:19:46,850
+shaft and الف خمسمية rpm the
+
+231
+00:19:46,850 --> 00:19:53,330
+driven shift لو حكيت هذا ل driving وهذا
+
+232
+00:19:53,330 --> 00:19:59,070
+ل driven the
+
+233
+00:19:59,070 --> 00:20:01,910
+driven shift carries a flywheel علي مانويل
+
+234
+00:20:06,510 --> 00:20:14,210
+عاد ال flywheel ال
+
+235
+00:20:14,210 --> 00:20:22,970
+mass عاد ال flywheel ال mass اتناشر كيلو جرام وال
+
+236
+00:20:22,970 --> 00:20:27,590
+radius of gyration لها اللي هو نص قطر الرحة K
+
+237
+00:20:27,590 --> 00:20:33,290
+بيساوي ميت ملي ميتر
+
+238
+00:20:37,040 --> 00:20:41,300
+find the maximum angular acceleration of the
+
+239
+00:20:41,300 --> 00:20:48,180
+driven shaft find ال maximum بده alpha واحد max
+
+240
+00:20:48,180 --> 00:20:57,720
+احنا
+
+241
+00:20:57,720 --> 00:21:05,440
+حكينا ال alpha واحد ال alpha واحد بتساوي minus
+
+242
+00:21:05,440 --> 00:21:12,780
+omega squarecos α sin
+
+243
+00:21:12,780 --> 00:21:30,280
+2 θ sin square α على واحد minus cos square θ sin
+
+244
+00:21:30,280 --> 00:21:33,140
+square
+
+245
+00:21:34,940 --> 00:21:41,280
+الفة الكل تربية هذه الالفة واحد بشكل عام الالفة
+
+246
+00:21:41,280 --> 00:21:49,980
+واحد is maximum الالفة واحد is maximum when عندما
+
+247
+00:21:49,980 --> 00:22:00,380
+تكون cosine two theta بالساوية اتنين sin تربية
+
+248
+00:22:00,380 --> 00:22:06,970
+الفةعلى اتنين مقص صين تربيع Alpha يعني اول شي احنا
+
+249
+00:22:06,970 --> 00:22:10,130
+هوجي ال theta اللي بتعمل Alpha maximum بعدين
+
+250
+00:22:10,130 --> 00:22:12,350
+بنعوضها فيها و بنحسب ال Alpha maximum معناته هتطلع
+
+251
+00:22:12,350 --> 00:22:21,670
+عندى cosine to theta هتكون ساوى اتنين صين
+
+252
+00:22:21,670 --> 00:22:34,250
+تربيع ال 20 درجة على اتنينminus sine تربيع العشرين
+
+253
+00:22:34,250 --> 00:22:44,530
+ومنها بحسب ثتا من هذه المعادلة بتحسب ايه؟ ثتا
+
+254
+00:22:44,530 --> 00:22:49,670
+بعدين برجع بعوض في المعادلة هذه هذي برجع بعدين
+
+255
+00:22:49,670 --> 00:22:52,450
+substitute about
+
+256
+00:23:11,810 --> 00:23:21,210
+theta about theta
+
+257
+00:23:21,210 --> 00:23:28,790
+in equation one عشان تحسب الف واحد
+
+258
+00:23:31,490 --> 00:23:36,450
+max هيك و حسبنا alpha واحد max هذه حلوة طالع
+
+259
+00:23:36,450 --> 00:23:40,090
+الأرقام لحالكوا طيب هذا المطلوب الأول بيكون هيك
+
+260
+00:23:40,090 --> 00:23:48,070
+حلناه المطلوب التاني بيحكي find maximum torque
+
+261
+00:23:48,070 --> 00:23:57,250
+required لأن أنا عندي ال flywheel ال
+
+262
+00:23:57,250 --> 00:24:01,070
+flywheelعال output هاي ال flywheel عال output
+
+263
+00:24:01,070 --> 00:24:05,250
+عليها
+
+264
+00:24:05,250 --> 00:24:09,470
+ال T out بدي
+
+265
+00:24:09,470 --> 00:24:13,670
+أسميها T واحد T
+
+266
+00:24:13,670 --> 00:24:18,830
+واحد هكون
+
+267
+00:24:18,830 --> 00:24:22,570
+متحركة
+
+268
+00:24:22,570 --> 00:24:25,610
+في
+
+269
+00:24:25,610 --> 00:24:26,170
+إيش I
+
+270
+00:24:30,940 --> 00:24:40,760
+الف واحد T واحد Max هنا I واحد I الف واحد Max لأن
+
+271
+00:24:40,760 --> 00:24:46,960
+الروديا حسبنا يعني هيكون عند T واحد Max على ال
+
+272
+00:24:46,960 --> 00:24:57,000
+output بالساوية I الف واحد Max طيب
+
+273
+00:25:01,790 --> 00:25:12,930
+الـ I هتكون M K تربيع ال M عندى اتناش في point
+
+274
+00:25:12,930 --> 00:25:18,010
+واحد تربيع يعني هتكون point واحد اتنين kilogram
+
+275
+00:25:18,010 --> 00:25:23,510
+meter square ومنها
+
+276
+00:25:23,510 --> 00:25:30,550
+باحسبrequired torque at the output shaft T واحد
+
+277
+00:25:30,550 --> 00:25:37,990
+maximum يحسب انا في الآخر في عندي ال input انا جاي
+
+278
+00:25:37,990 --> 00:25:41,590
+ال input من هنا يعني عندي هنا ال input و ال load
+
+279
+00:25:41,590 --> 00:25:47,410
+جاى ال output الان assuming fish losses حاجة احكي
+
+280
+00:25:47,410 --> 00:25:53,870
+ان هو T omega بالساوية
+
+281
+00:25:54,790 --> 00:26:05,130
+T1 أميجا واحد T1 أميجا واحد معناته ال torque على
+
+282
+00:26:05,130 --> 00:26:11,770
+ال input ستكون T1 أميجا واحد على أميجا و احنا
+
+283
+00:26:11,770 --> 00:26:17,050
+already بنعرف ان
+
+284
+00:26:17,050 --> 00:26:27,880
+أميجا واحد على أميجا أميجا واحدعلى omega بيساوي
+
+285
+00:26:27,880 --> 00:26:34,700
+cosine alpha على
+
+286
+00:26:34,700 --> 00:26:42,100
+واحد minus cosine square theta sine square alpha
+
+287
+00:26:42,100 --> 00:26:45,720
+which theta؟ ال theta اللي هنا اللي كانت عندها ال
+
+288
+00:26:45,720 --> 00:26:50,280
+alpha maximum بحسب من ال theta اللي هنا بعوض انا
+
+289
+00:26:50,280 --> 00:26:55,660
+هنا وبحسب omega واحد على omegaبعدين بعوض omega 1 و
+
+290
+00:26:55,660 --> 00:26:59,180
+omega 2 في المواد هذه و بعرف T1 بحسب ال torque على
+
+291
+00:26:59,180 --> 00:27:02,640
+ال input shaft بحسب ال torque على ال input shaft
+
+292
+00:27:02,640 --> 00:27:10,920
+طيب
+
+293
+00:27:10,920 --> 00:27:17,180
+نحل
+
+294
+00:27:17,180 --> 00:27:19,140
+كمان example بعدين ننهي
+
+295
+00:27:32,940 --> 00:27:37,580
+الجزء بين اكسسات اتصالات اتصالات اتصالات اتصالات
+
+296
+00:27:37,580 --> 00:27:37,800
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+297
+00:27:37,800 --> 00:27:43,260
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+298
+00:27:43,260 --> 00:27:45,960
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+299
+00:27:45,960 --> 00:27:46,460
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+300
+00:27:46,460 --> 00:27:46,740
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+301
+00:27:46,740 --> 00:27:52,100
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+302
+00:27:52,100 --> 00:27:58,580
+اتصالات اتصالات اتصال
+
+303
+00:27:59,900 --> 00:28:05,860
+احنا اذا فاكرين من الشكل الشكل
+
+304
+00:28:05,860 --> 00:28:19,360
+السابق هاد الشكل بتكون
+
+305
+00:28:19,360 --> 00:28:26,280
+ان ال omega واحد max omega واحد max omega واحد max
+
+306
+00:28:26,280 --> 00:28:33,120
+plus omegaعلى cosine ألفة
+
+307
+00:28:33,120 --> 00:28:39,320
+وبتكون maximum عن صفر أمية و تمانين هذا بيكون
+
+308
+00:28:39,320 --> 00:28:45,320
+omega one is at theta بيستوى صفر أمية و تمانين و
+
+309
+00:28:45,320 --> 00:28:51,900
+تلت مية و ستين degree بتكون omega واحد بيستوى
+
+310
+00:28:51,900 --> 00:28:57,020
+omega لما تان theta
+
+311
+00:29:00,520 --> 00:29:05,500
+بالساوية زاد او ناقص الجزر التربيهي لكوساين الف
+
+312
+00:29:05,500 --> 00:29:09,140
+يعني
+
+313
+00:29:09,140 --> 00:29:14,280
+لما تان ثيتا سواء زاد او ناقص الجزر التربيهي
+
+314
+00:29:14,280 --> 00:29:21,700
+لكوساين التمنتاشر ديجري ومنها باوجد الثيتا اللى
+
+315
+00:29:21,700 --> 00:29:26,000
+بتكون عندها اميجا واحد بالساوية اميجا اتنين يعني
+
+316
+00:29:26,000 --> 00:29:34,220
+هتكون عند النقاطخمسة و ستة و سبعة و تمانية خمسة و
+
+317
+00:29:34,220 --> 00:29:40,780
+ستة و سبعة و تمانية طبعا ال .. الزاوية تتغير
+
+318
+00:29:40,780 --> 00:29:46,000
+بالزاوية .. الزاوية Alpha لأنه يعني اللي هتسير
+
+319
+00:29:46,000 --> 00:29:49,660
+بتغير زاوية Alpha اللي الليفس هذا يا ما همغط بشكل
+
+320
+00:29:49,660 --> 00:29:52,700
+هذا وبالتالي هذه هتنزل او يضغط بهذا الاتجاه
+
+321
+00:29:57,740 --> 00:30:02,560
+هيك بنكون خلصنا ال chapter أعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oZvqG8OK4_w.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oZvqG8OK4_w.srt
new file mode 100644
index 0000000000000000000000000000000000000000..dc67fd520697f45dfc2962f20650f70bebf318b5
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oZvqG8OK4_w.srt
@@ -0,0 +1,1115 @@
+1
+00:00:05,570 --> 00:00:08,770
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,770 --> 00:00:12,750
+وبركاته اليوم هنبدأ موضوع جديد في مادة نظرية
+
+3
+00:00:12,750 --> 00:00:17,790
+الألات الموضوع هيكون balancing of rotating masses
+
+4
+00:00:17,790 --> 00:00:24,390
+توزين الكتل الدوارة طبعا إذا عندك كتل .. كتلة بتدور
+
+5
+00:00:24,390 --> 00:00:27,290
+يعني لو عندك كتلة
+
+6
+00:00:36,670 --> 00:00:41,210
+هذه كتلة و تدور وهذه مركز ثقلها الآن لو كانت
+
+7
+00:00:41,210 --> 00:00:47,050
+تدور بسرعة زاوية ω هيكون
+
+8
+00:00:47,050 --> 00:00:55,930
+لها normal acceleration  أي normal
+
+9
+00:00:55,930 --> 00:01:04,550
+بتساوي normal acceleration اللي هي ω² في
+
+10
+00:01:04,550 --> 00:01:05,850
+R هذه الـ R
+
+11
+00:01:11,550 --> 00:01:20,070
+و هتكون فيه قوة طرد مركزية centrifugal force Fc  بحيث
+
+12
+00:01:20,070 --> 00:01:29,550
+هو M في A normal يعني هتكون M ω² R هذا
+
+13
+00:01:29,550 --> 00:01:35,370
+قوة طرد مركزي للخارج الآن قوة الطرد المركزي للخارج
+
+14
+00:01:36,690 --> 00:01:39,530
+هتكون عاملة force على الـ .. على الـ .. على الـ hinge
+
+15
+00:01:39,530 --> 00:01:45,370
+هنا أو على الـ shaft في force أو دفع الآن
+
+16
+00:01:45,370 --> 00:01:50,950
+مع الدوران ووجود force بشكل هذا هتعمل noise وضجيج
+
+17
+00:01:50,950 --> 00:01:53,790
+عالي و stresses عالية على الـ .. على الـ .. على الـ
+
+18
+00:01:53,790 --> 00:02:00,330
+shaft هنا أو الـ pin وبالتالي إحدى الطرق أنه أحط
+
+19
+00:02:00,330 --> 00:02:02,910
+كتلة معاكسة
+
+20
+00:02:09,260 --> 00:02:18,660
+تبعد مثلا R1 كتلتها M1 بحيث تعمل centrifugal force
+
+21
+00:02:18,660 --> 00:02:23,280
+مساوية في المقدار للـ centrifugal force الأصلية
+
+22
+00:02:23,280 --> 00:02:31,140
+ومضادة لها في الاتجاه بحيث تكون تساوي M1 ω
+
+23
+00:02:31,140 --> 00:02:33,860
+² R1
+
+24
+00:02:35,200 --> 00:02:38,320
+طبعا ω²  ω² ستختصر يعني هتكون
+
+25
+00:02:38,320 --> 00:02:44,220
+M في R إذن
+
+26
+00:02:44,220 --> 00:02:50,500
+أضفت كتلة على الطرف الآخر الـ net force عند الـ axis
+
+27
+00:02:50,500 --> 00:02:56,080
+of rotation هتكون صفر هتكون صفر و أنا بقلل
+
+28
+00:02:56,080 --> 00:03:01,400
+الـ noise و أوزن الكتلة هذه
+
+29
+00:03:01,400 --> 00:03:06,710
+الكلام ينطبق في حالة single mass يعني عندي هذا الجسم
+
+30
+00:03:06,710 --> 00:03:11,070
+الأصلي وزنته بـ mass واحدة بتدور في نفس المستوى
+
+31
+00:03:11,070 --> 00:03:17,190
+بتدور في نفس مستوى  الواقع فيه الكتلة الأولى في
+
+32
+00:03:17,190 --> 00:03:20,830
+الحالة هذه for this mass to be balanced هتكون mr
+
+33
+00:03:20,830 --> 00:03:28,630
+= m1 r1 لأنّي
+
+34
+00:03:28,630 --> 00:03:30,070
+عندي حالات أخرى
+
+35
+00:03:38,330 --> 00:03:45,050
+Balancing of a Single Rotating Mass By
+
+36
+00:03:45,050 --> 00:03:52,010
+Two Masses بتوازنه باستخدام كتلتين كتلة M
+
+37
+00:03:52,010 --> 00:04:00,190
+واحدة وكتلة M اثنين لكن الـ M واحدة هذه بالضبط الشكل
+
+38
+00:04:00,190 --> 00:04:07,150
+هذا الـ M واحدة واقعة في مستوى مختلف عن مستوى M و M2
+
+39
+00:04:07,150 --> 00:04:12,170
+واقعة في مستوى مختلف عن مستوى M
+
+40
+00:04:22,090 --> 00:04:26,650
+M2 ألاحظ أن الـ M1 أنا موازن  حالة M .. الحالة هذه حالة
+
+41
+00:04:26,650 --> 00:04:31,690
+M1 على طرفي الـ mass to be balanced يعني عندي M1
+
+42
+00:04:31,690 --> 00:04:35,490
+على الشمال و M2 على اليمين و هذه بتدور بالشكل هذا
+
+43
+00:04:35,490 --> 00:04:44,410
+الآن بعد المستوى M .. مستوى الـ M1 عن مستوى الـ M1 و
+
+44
+00:04:44,410 --> 00:04:58,200
+بعد مستوى الـ M2 هذه الكتلة M هذه M .. M M2  هد M1 هد
+
+45
+00:04:58,200 --> 00:05:15,440
+المستوى A هد المستوى L هد المستوى M طبعا
+
+46
+00:05:15,440 --> 00:05:20,320
+من الـ end view الـ mass M  الـ radius بتاعها R
+
+47
+00:05:24,860 --> 00:05:30,420
+هذا R والكتلة
+
+48
+00:05:30,420 --> 00:05:38,820
+M1 هذه M1 هذه
+
+49
+00:05:38,820 --> 00:05:43,140
+M2 والـ radius
+
+50
+00:05:43,140 --> 00:05:50,760
+M1 R1 والـ radius M2 R2
+
+51
+00:05:54,160 --> 00:05:58,680
+لازم أكون عندي الـ two conditions شرطين لأن أنا
+
+52
+00:05:58,680 --> 00:06:02,140
+عندي الكتلتين لتوزن الكتلة الأصلية جايين في مستويات
+
+53
+00:06:02,140 --> 00:06:05,340
+مختلفة لازم أكون عندي شرطين عشان تصير عملية
+
+54
+00:06:05,340 --> 00:06:12,960
+التوازن أول شيء قوة الطرد المركزي هي عندي Fc
+
+55
+00:06:12,960 --> 00:06:16,540
+عندي
+
+56
+00:06:16,540 --> 00:06:17,720
+هي Fc1
+
+57
+00:06:23,130 --> 00:06:27,770
+و Fc2 قوة
+
+58
+00:06:27,770 --> 00:06:36,170
+الطرد المركزي لازم تكون الـ Fc تساوي
+
+59
+00:06:36,170 --> 00:06:47,790
+الـ Fc1 زائد الـ Fc2 الـ Fc هتكون M ω
+
+60
+00:06:47,790 --> 00:07:00,620
+² R الـ Fc1 M1 ω² R1 Fc2 M2 ω
+
+61
+00:07:00,620 --> 00:07:06,320
+² R2 لو اختصرت ω² عن الطرفين هيبقى
+
+62
+00:07:06,320 --> 00:07:18,460
+MR = M1 R1 + M2 R2 هذا الشرط الأول
+
+63
+00:07:28,690 --> 00:07:35,570
+فأنا عندي هنا Fc2
+
+64
+00:07:35,570 --> 00:07:42,390
+من المستوى ده و Fc1
+
+65
+00:07:42,390 --> 00:07:46,730
+و أنا عندي هنا Fc
+
+66
+00:08:03,210 --> 00:08:07,490
+طيب لأن عشان .. يعني .. يعني هي اللي كان summation
+
+67
+00:08:07,490 --> 00:08:09,770
+of forces = 0 لأن summation of moment
+
+68
+00:08:09,770 --> 00:08:16,910
+حول مستوى A .. summation of moment حول
+
+69
+00:08:16,910 --> 00:08:21,150
+المستوى A لازم يكون = 0 برضه يعني هي كون
+
+70
+00:08:21,150 --> 00:08:30,610
+اللي أخد counter clockwise موجب هيكون دي Fc1
+
+71
+00:08:33,450 --> 00:08:38,470
+في 1 طبعا الـ Fc بتعمل عزم لأنه واقع في
+
+72
+00:08:38,470 --> 00:08:46,530
+المستوى مفيش ذراع  Fc2 الاثنين
+
+73
+00:08:46,530 --> 00:08:59,310
+معناته Fc1 في 1 تساوي Fc2 في 2 يعني الـ Fc
+
+74
+00:08:59,310 --> 00:09:06,260
+1 اللي هي بقى = M1 ω²R1 في 1
+
+75
+00:09:06,260 --> 00:09:15,500
+= M2 ω² R2 L2 لو اختصرنا ω
+
+76
+00:09:15,500 --> 00:09:22,580
+² من الطرفين هيبقى عندي M1 R1 في 1 =
+
+77
+00:09:22,580 --> 00:09:28,020
+M2 R2 L2 هذا هو الشرط الثاني
+
+78
+00:09:32,550 --> 00:09:37,770
+معناته for this mass M to be balanced by two
+
+79
+00:09:37,770 --> 00:09:46,290
+masses M1 and M2 on the two sides of M لازم يكون
+
+80
+00:09:46,290 --> 00:09:46,690
+عندي
+
+81
+00:10:03,950 --> 00:10:11,050
+الحالة الثانية ممكن حالة ثانية
+
+82
+00:10:21,220 --> 00:10:23,560
+ممكن يكون الـ two masses هذه الـ mass to be balanced
+
+83
+00:10:23,560 --> 00:10:32,540
+هذا الـ this mass to be balanced و
+
+84
+00:10:32,540 --> 00:10:40,660
+واقعة في المستوى A
+
+85
+00:10:40,660 --> 00:10:45,460
+it has to be balanced by two masses جايين عنها
+
+86
+00:10:45,460 --> 00:10:50,440
+واحدة من المسام يعني عندي m1 عندي m1
+
+87
+00:10:53,420 --> 00:11:01,880
+واقعة في المستوى L هذه
+
+88
+00:11:01,880 --> 00:11:14,980
+M1 وفي كتلة M اثنين واقعة
+
+89
+00:11:14,980 --> 00:11:18,560
+في المستوى M
+
+90
+00:11:22,000 --> 00:11:29,660
+والمسافات هذه هذه من المستوى A هذه L1 وهذه من مستوى
+
+91
+00:11:29,660 --> 00:11:33,240
+B L2
+
+92
+00:11:33,240 --> 00:11:43,640
+و هذه بينهم هتكون L من
+
+93
+00:11:43,640 --> 00:11:46,980
+الـ end view هتكون الـ mass M
+
+94
+00:11:57,000 --> 00:12:04,100
+واقعة على بعد R والكتلة
+
+95
+00:12:04,100 --> 00:12:15,000
+M1 واقعة
+
+96
+00:12:15,000 --> 00:12:19,200
+على بعد R1
+
+97
+00:12:25,670 --> 00:12:32,910
+والكتلة M2 واقعة
+
+98
+00:12:32,910 --> 00:12:40,770
+على Radius R2 طبعا
+
+99
+00:12:40,770 --> 00:12:45,450
+هيكون فيه centrifugal force للكتلة  فعندها Fc
+
+100
+00:12:45,450 --> 00:12:52,490
+للكتلة اللي هنوزنها وفيه عندها Fc2
+
+101
+00:12:52,490 --> 00:12:54,030
+وعندها
+
+102
+00:12:58,470 --> 00:13:05,990
+Fc1 وهنكون عندنا
+
+103
+00:13:05,990 --> 00:13:09,970
+عندي Fc و
+
+104
+00:13:09,970 --> 00:13:16,970
+هيكون عندي Fc1 و
+
+105
+00:13:16,970 --> 00:13:20,450
+Fc2
+
+106
+00:13:28,800 --> 00:13:34,860
+برضه عندي conditions هتتحقق عشان أوزن المثلث يعني
+
+107
+00:13:34,860 --> 00:13:42,340
+أحكي summation of forces = 0 هيكون =
+
+108
+00:13:42,340 --> 00:13:49,240
+عندي Fc +
+
+109
+00:13:49,240 --> 00:13:56,460
+Fc2 - Fc1
+
+110
+00:13:58,100 --> 00:14:05,340
+يعني أنا هيكون عندي Fc1 = Fc + Fc
+
+111
+00:14:05,340 --> 00:14:11,740
+اثنين اللي هي Fc1 هي M ω M1 ω
+
+112
+00:14:11,740 --> 00:14:21,540
+² R1 = M ω² R + M2
+
+113
+00:14:21,540 --> 00:14:24,840
+ω² R2
+
+114
+00:14:27,590 --> 00:14:35,270
+لو قسمنا على ω² هيبقى M1R1 = M في R
+
+115
+00:14:35,270 --> 00:14:46,350
++ M2 في R2 الـ
+
+116
+00:14:46,350 --> 00:14:48,270
+condition الثاني هببدأ آخذ summation of moment
+
+117
+00:14:48,270 --> 00:14:49,330
+حول A = 0
+
+118
+00:15:01,510 --> 00:15:03,910
+طبعا الـ Fc ما بتعملش مومنت  أنا آخذ مومنت عندي هي
+
+119
+00:15:03,910 --> 00:15:09,950
+هيكون عندي - Fc
+
+120
+00:15:09,950 --> 00:15:17,150
+1 في 1 +
+
+121
+00:15:17,150 --> 00:15:22,210
+Fc
+
+122
+00:15:22,210 --> 00:15:28,730
+2 في 2 = 0  ليش عندي Fc1
+
+123
+00:15:28,730 --> 00:15:41,250
+الواحد = Fc2 L2  Fc1 هي M1 ω² R1 L1
+
+124
+00:15:41,250 --> 00:15:50,370
+= M2 ω² R2 L2 لو اختصرت ω
+
+125
+00:15:50,370 --> 00:16:01,700
+² من الطرفين هيبقى عندي M1R1 L1 = M2 R2 L2 هذا الـ
+
+126
+00:16:01,700 --> 00:16:02,620
+second condition
+
+127
+00:16:33,730 --> 00:16:38,050
+هنشوف كيف نوزن balancing of several masses
+
+128
+00:16:38,050 --> 00:16:55,350
+rotating in the same plane عندنا كتلتين M1 و
+
+129
+00:16:55,350 --> 00:16:56,150
+M2
+
+130
+00:17:04,340 --> 00:17:13,280
+وعندي M3 وعندي
+
+131
+00:17:13,280 --> 00:17:25,340
+أربع كتل و M4  M1
+
+132
+00:17:25,340 --> 00:17:32,420
+الـ radius بتاعها R1
+
+133
+00:17:33,540 --> 00:17:38,880
+و الـ M2 الـ radius بتاعها R2
+
+134
+00:17:38,880 --> 00:17:48,520
+و الـ M3 الـ radius بتاعها R3 و الـ M4 الـ radius بتاعها
+
+135
+00:17:48,520 --> 00:17:52,740
+R4
+
+136
+00:17:52,740 --> 00:17:57,740
+هذه
+
+137
+00:17:57,740 --> 00:18:02,650
+أربع كتل بتدور واقعة في نفس المستوى واقعة في نفس
+
+138
+00:18:02,650 --> 00:18:07,450
+المستوى و بيدوروا كلهم بسرعة زاوية ω معناته
+
+139
+00:18:07,450 --> 00:18:12,810
+هيكون centrifugal force Fc1 فعندي هنا Fc1 due to
+
+140
+00:18:12,810 --> 00:18:18,370
+mass 1 فعندي هنا Fc2
+
+141
+00:18:18,370 --> 00:18:27,610
+due to m2 فعندي Fc3 وعندي Fc4 centrifugal force
+
+142
+00:18:27,610 --> 00:18:30,350
+due to mass 4
+
+143
+00:18:37,930 --> 00:18:44,510
+اللي أنا لو أخدت الـ polygon الـ vector polygon بتاع
+
+144
+00:18:44,510 --> 00:18:48,450
+الـ forces Fc1, Fc2, Fc3 هيكون عندي هيرسم حد من
+
+145
+00:18:48,450 --> 00:18:52,950
+النقطة .. من النقطة هذه هيكون عندي هنا هي عندي Fc1
+
+146
+00:18:52,950 --> 00:18:57,290
+موازنة
+
+147
+00:18:57,290 --> 00:19:01,270
+بعدين Fc2 جاية عمودية هي Fc2
+
+148
+00:19:17,990 --> 00:19:33,610
+Fc3 Fc4 Fc5
+
+149
+00:19:33,610 --> 00:19:33,670
+Fc6 Fc7 Fc8 Fc9 Fc10 Fc11 Fc12 Fc12 Fc13 Fc14 Fc15
+
+150
+00:19:33,670 --> 00:19:33,830
+Fc16 Fc16 Fc17 Fc18 Fc19 Fc20 Fc21 Fc21 Fc21 Fc21
+
+151
+00:19:33,830 --> 00:19:33,850
+Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21
+
+152
+00:19:33,850 --> 00:19:34,090
+Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21
+
+153
+00:19:34,090 --> 00:19:34,210
+Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21
+
+154
+00:19:34,210 --> 00:19:39,090
+للتوازن هذه القوى هتكون عندي هنا قوى
+
+155
+00:19:39,090 --> 00:19:45,850
+هتكون عندي هنا Fc Fc
+
+156
+00:19:45,850 --> 00:19:54,750
+فعلا هتكون عندي mass  يعني موازنة هذه بدي
+
+157
+00:19:54,750 --> 00:20:02,890
+أسميها M لتوازن الكتل M1 و M2 و M3 و M4
+
+158
+00:20:02,890 --> 00:20:03,510
+تعمل
+
+159
+00:20:12,540 --> 00:20:18,660
+Fc الآن لاحظوا Fc1 تعمل هذه θ1 زاوية
+
+160
+00:20:18,660 --> 00:20:22,100
+من
+
+161
+00:20:22,100 --> 00:20:31,300
+الـ positive x axis هذا positive x axis وهذه θ
+
+162
+00:20:31,300 --> 00:20:33,840
+2 وهذه
+
+163
+00:20:36,240 --> 00:20:47,140
+θ3 وهذا θ4
+
+164
+00:20:47,140 --> 00:20:53,020
+وهذه الزاوية θ بتاعة الـ balancing mass θ
+
+165
+00:20:53,020 --> 00:20:57,980
+يعني
+
+166
+00:20:57,980 --> 00:21:04,340
+عشان أحسب الـ mass هأحكي summation of forces =
+
+167
+00:21:04,340 --> 00:21:14,680
+0أحكي معناته F كمتجه Fc1 + Fc2 + F
+
+168
+00:21:14,680 --> 00:21:24,620
+c3 + Fc4 + Fc طبعا هذا في الـ plane
+
+169
+00:21:24,620 --> 00:21:29,540
+هتعطيني الـ two equations معادلتين يعني ممكن
+
+170
+00:21:29,540 --> 00:21:43,890
+نحكي عن Fc1 Fc1 كمّتها هتكون Fc1 كميتها m1 ω
+
+171
+00:21:43,890 --> 00:21:57,590
+² r1 في cos θ في اتجاه الـ I + sin
+
+172
+00:21:57,590 --> 00:22:08,400
+θ في θ1باتجاه الـ J ونفس الشيء Fc2 هتكون
+
+173
+00:22:08,400 --> 00:22:18,180
+M2 ω² R2 في cos θ2 باتجاه الـ I + sin
+
+174
+00:22:18,180 --> 00:22:30,920
+θ2 باتجاه الـ J و Fc3 هتكون M3 ω² R3 في
+
+175
+00:22:30,920 --> 00:22:37,880
+cos θ3 بالاتجاه الـ I + sin θ3
+
+176
+00:22:37,880 --> 00:22:49,100
+بالاتجاه الـ J و Fc4 هتساوي M4 ω² R4
+
+177
+00:22:49,100 --> 00:22:57,960
+في cos θ4 بالاتجاه الـ I + sin θ4 بالاتجاه
+
+178
+00:22:57,960 --> 00:22:58,360
+الـ J
+
+179
+00:23:02,650 --> 00:23:12,650
+طيب و الـ Fc هتكون الكتلة بتاعتها في ω²
+
+180
+00:23:12,650 --> 00:23:21,710
+في الـ R في cos θ باتجاه الـ I + sin θ
+
+181
+00:23:21,710 --> 00:23:31,130
+باتجاه الـ J طيب بتطلع عندي two equations
+
+182
+00:23:37,250 --> 00:23:40,810
+Solve Two Equations
+
+183
+00:23:48,590 --> 00:23:54,470
+اللي هي summation للـ Fx = 0 و summation للـ
+
+184
+00:23:54,470 --> 00:24:05,430
+Fy = 0 for M and θ or for M and R or for θ
+
+185
+00:24:05,430 --> 00:24:13,710
+and R هيك بنكون وزنّا مجموع كتل M1 M2 M3 M4
+
+186
+00:24:13,710 --> 00:24:17,350
+بتدور في نفس المستوى بكتلة واحدة تدور في نفس
+
+187
+00:24:17,350 --> 00:24:43,290
+المستوى نشوف مثال طيب
+
+188
+00:24:43,290 --> 00:24:44,050
+نشوف مثال
+
+189
+00:25:07,730 --> 00:25:12,450
+في عندي أربع كتل كتلة
+
+223
+00:28:58,410 --> 00:29:06,750
+بعد 2 من 10 متر يعني هعمل balance الكتلة
+
+224
+00:29:06,750 --> 00:29:11,490
+تاعتها مش معروفة الـ M
+
+225
+00:29:11,490 --> 00:29:17,310
+radius تاعتها point 2 والزاوية
+
+226
+00:29:17,310 --> 00:29:19,010
+تاعتها مجهولة theta
+
+227
+00:29:26,220 --> 00:29:39,920
+بذاتها مجهولة، ثالثًا بدي
+
+228
+00:29:39,920 --> 00:29:48,860
+أحسب الـ Fc لكل كتلة لكل omega square، يعني Fc على
+
+229
+00:29:48,860 --> 00:29:57,220
+omega square، الـ Fc هتكون أساس في الـ Fc يعني هذه
+
+230
+00:29:57,220 --> 00:30:10,740
+هتكون تساوي M في R، هتكون
+
+231
+00:30:10,740 --> 00:30:15,440
+ده 40 في 2 من 10
+
+232
+00:30:22,210 --> 00:30:31,410
+300 في point 1.55 و 40
+
+233
+00:30:31,410 --> 00:30:39,130
+و 40 في ربع 60
+
+234
+00:30:39,130 --> 00:30:49,330
+و 60 في 3 من 10 يعني 78 وهذه
+
+235
+00:30:49,330 --> 00:30:50,750
+هتكون 2 من 10
+
+236
+00:30:56,990 --> 00:31:13,250
+أم 2 من 10 أم
+
+237
+00:31:13,250 --> 00:31:20,430
+بتحسب
+
+238
+00:31:20,430 --> 00:31:30,750
+الـ Fcx على omega square و الـ fcy على omega square
+
+239
+00:31:30,750 --> 00:31:38,590
+يعني هذي بتساوي، يعني هتكون الـ fc على
+
+240
+00:31:38,590 --> 00:31:46,710
+omega square اتجاه الـ x هتكون fc على omega square
+
+241
+00:31:46,710 --> 00:31:56,700
+في cosine theta والـ Fcy على omega square بتساوي Fc
+
+242
+00:31:56,700 --> 00:32:04,720
+على omega square sin θ يعني
+
+243
+00:32:04,720 --> 00:32:09,680
+الأولى هتكون cosine السفر كم؟ cosine السفر 1
+
+244
+00:32:09,680 --> 00:32:14,080
+يعني هذا هتكون 40 cosine
+
+245
+00:32:14,080 --> 00:32:16,800
+السفر سفر
+
+246
+00:32:21,060 --> 00:32:25,460
+التانية هتكون cos 45
+
+247
+00:32:57,830 --> 00:33:09,110
+الثانية هتكون اللي هو cos 45 في
+
+248
+00:33:24,040 --> 00:33:45,900
+45 تطلع
+
+249
+00:33:45,900 --> 00:33:49,940
+31.82 31
+
+250
+00:33:54,260 --> 00:33:58,800
+point 82 point 82 point 8
+
+251
+00:33:58,800 --> 00:34:01,900
+2 point 82 point 82 point
+
+252
+00:34:01,900 --> 00:34:03,360
+82 point 82 point 82
+
+253
+00:34:03,360 --> 00:34:05,160
+point 82 point 82 point
+
+254
+00:34:05,160 --> 00:34:05,320
+82 point 82 point 82
+
+255
+00:34:05,320 --> 00:34:08,340
+point 82 point 82 point 82
+
+256
+00:34:08,340 --> 00:34:10,560
+point 82 point 82 point 8
+
+257
+00:34:10,560 --> 00:34:15,080
+point 82 point 82 point 8
+
+258
+00:34:15,080 --> 00:34:22,060
+2 point 8
+
+259
+00:34:22,060 --> 00:34:22,080
+2
+
+260
+00:34:34,310 --> 00:34:43,170
+تطلع 51.96 51
+
+261
+00:34:43,170 --> 00:34:50,650
+.96 الرابع الرابع
+
+262
+00:34:50,650 --> 00:34:55,810
+هتكون cos 2.55
+
+263
+00:35:11,870 --> 00:35:18,470
+هتكون ناقص 20.19 ناقص 20.
+
+264
+00:35:18,470 --> 00:35:39,210
+19 وناقص
+
+265
+00:35:39,210 --> 00:35:40,670
+75.34
+
+266
+00:35:54,080 --> 00:36:05,560
+أو ممكن أسميها هنا FcX و Fcy، أحكي
+
+267
+00:36:05,560 --> 00:36:10,620
+summation للقوى باتجاه الـ X بتكون تساوي صفر
+
+268
+00:36:10,620 --> 00:36:17,460
+يعني أنا هتكون عندي 40 زائد 31.
+
+269
+00:36:17,460 --> 00:36:27,910
+82 ناقص 30 ناقص 20.96 زائد Fc
+
+270
+00:36:27,910 --> 00:36:37,190
+X، معناته FcX هتساوي إن
+
+271
+00:36:37,190 --> 00:36:37,870
+40
+
+272
+00:36:58,050 --> 00:37:04,550
+هتطلع ناقص 21.
+
+273
+00:37:04,550 --> 00:37:16,130
+63 هذا fcx، fcy summation للـ fy بتساوي صفر
+
+274
+00:37:16,130 --> 00:37:23,850
+هيكون عندي صفر زائد 31.82
+
+275
+00:37:25,670 --> 00:37:34,070
+زائد 51.96 ناقص
+
+276
+00:37:34,070 --> 00:37:45,090
+75.34 زائد fcy، يعني fcy
+
+277
+00:37:45,090 --> 00:37:47,190
+هتطلع
+
+278
+00:38:10,540 --> 00:38:16,100
+طلع ناقص 8.
+
+279
+00:38:16,100 --> 00:38:18,760
+44
+
+280
+00:38:38,370 --> 00:38:40,710
+يعني إيه اللي في الـ X؟ إيه اللي مركبة Negative في
+
+281
+00:38:40,710 --> 00:38:51,370
+الـ X Axis؟ هذه مركبة Negative
+
+282
+00:38:51,370 --> 00:38:59,350
+هي 21 و بالـ Negative Y إيه اللي هيشيل؟ يعني خليني
+
+283
+00:38:59,350 --> 00:39:04,090
+أسمي هذه خليني
+
+284
+00:39:04,090 --> 00:39:14,650
+أسمي هذه Beta، يعني ممكن أحكي tan beta هتكون
+
+285
+00:39:14,650 --> 00:39:22,090
+ساوي 21.63 على 8.
+
+286
+00:39:22,090 --> 00:39:32,120
+بتساوي لأ العكس tan beta بتساوي 8.44/21.63
+
+287
+00:39:32,120 --> 00:39:40,180
+=0.39
+
+288
+00:39:40,180 --> 00:39:41,240
+.
+
+289
+00:40:24,980 --> 00:40:39,000
+cos⁻¹ طيب
+
+290
+00:40:39,000 --> 00:40:49,720
+الآن بنحسب بيتا، بعدين ثيتا هتكون هتكون إنها 180
+
+291
+00:40:49,720 --> 00:40:53,460
+زائد
+
+292
+00:40:53,460 --> 00:40:57,420
+Beta معناته
+
+293
+00:40:57,420 --> 00:41:00,500
+بدي
+
+294
+00:41:00,500 --> 00:41:08,100
+أحسب الـ total FC، FC هتكون الجذر التربيعي لـ FCX
+
+295
+00:41:08,100 --> 00:41:13,520
+تربيع زائد Fcy تربيع، يعني هتكون تساوي الجذر التربيعي
+
+296
+00:41:13,520 --> 00:41:14,720
+ل
+
+297
+00:41:16,540 --> 00:41:28,000
+21.63 تربيع زائد 8.44 تربيع، يعني هتكون قيمتها تقريبًا
+
+298
+00:41:28,000 --> 00:41:34,420
+Fc على omega square هتكون
+
+299
+00:41:34,420 --> 00:41:36,160
+جذر التربيعي ل
+
+300
+00:41:59,200 --> 00:42:01,960
+تطلع 23.22 23
+
+301
+00:42:01,960 --> 00:42:05,680
+.22
+
+302
+00:42:05,680 --> 00:42:17,020
+.22 هذه بتساوي M في R، يعني الـ M هتساوي
+
+303
+00:42:17,020 --> 00:42:23,860
+اللي هو 23.22، الـ R
+
+304
+00:42:23,860 --> 00:42:25,120
+بتاعتها اللي هي point 2
+
+305
+00:42:35,830 --> 00:42:43,870
+تقسيم 0.2 تطلع 116.1 كيلو جرام
+
+306
+00:42:55,010 --> 00:43:05,350
+لنقل 116.092
+
+307
+00:43:05,350 --> 00:43:10,630
+كيلو جرام، إيه
+
+308
+00:43:10,630 --> 00:43:15,490
+كان يكون الكتلة هذه وزنها الـ 4 كتل M1 M2 M3 مافيش
+
+309
+00:43:15,490 --> 00:43:21,230
+أي اهتزازات ولا أي قوة
+
+310
+00:43:21,230 --> 00:43:27,040
+محورية على الشافتة، الـ rotating shaft، هيك نكون هنا
+
+311
+00:43:27,040 --> 00:43:30,960
+المحاضرة الأولى من هذا الـ chapter، المحاضرة الجاية
+
+312
+00:43:30,960 --> 00:43:33,340
+نكمل الـ chapter إن شاء الله
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oZvqG8OK4_w_postprocess.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oZvqG8OK4_w_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d5c673602b4742c8cff3d5192cce1bdaf8bfb7bb
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oZvqG8OK4_w_postprocess.srt
@@ -0,0 +1,1248 @@
+1
+00:00:05,570 --> 00:00:08,770
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,770 --> 00:00:12,750
+وبركاته اليوم هنبدأ موضوع جديد في مادة نظرية
+
+3
+00:00:12,750 --> 00:00:17,790
+الألات الموضوع هكون balancing of rotating masses
+
+4
+00:00:17,790 --> 00:00:24,390
+توزين الكتل الدورة طبعا إذا عندك كتل .. كتلة بتدور
+
+5
+00:00:24,390 --> 00:00:27,290
+يعني لو عندك كتلة
+
+6
+00:00:36,670 --> 00:00:41,210
+هذه كتلة و دورها وهذه مركز تقالها الان لو كانت
+
+7
+00:00:41,210 --> 00:00:47,050
+تدور بسرعة زاوية omega هيكون
+
+8
+00:00:47,050 --> 00:00:55,930
+لها normal acceleration م ايه normal او ايه normal
+
+9
+00:00:55,930 --> 00:01:04,550
+بتساوي normal acceleration اللي هي omega square في
+
+10
+00:01:04,550 --> 00:01:05,850
+R هذه ال R
+
+11
+00:01:11,550 --> 00:01:20,070
+و هتكون فيه قوة طرد مركزي centrifugal force Fc بس
+
+12
+00:01:20,070 --> 00:01:29,550
+هو M في A normal يعني هتكون M Omega Square R هذا
+
+13
+00:01:29,550 --> 00:01:35,370
+قوة طرد المركزي لبرا الآن قوة الطرد المركزي لبرا
+
+14
+00:01:36,690 --> 00:01:39,530
+هتكون عاملة force على ال .. على ال .. على ال hinge
+
+15
+00:01:39,530 --> 00:01:45,370
+هنا او على ال shaft في force او الدفع الآن
+
+16
+00:01:45,370 --> 00:01:50,950
+مع الدوران وجود force بشكل هذا هتعمل noise وضجيج
+
+17
+00:01:50,950 --> 00:01:53,790
+عالي و stresses عالي على ال .. على ال .. على ال
+
+18
+00:01:53,790 --> 00:02:00,330
+shaft هنا او ال pin وبالتالي احد الطرق انه احط
+
+19
+00:02:00,330 --> 00:02:02,910
+كتلة معاكسة
+
+20
+00:02:09,260 --> 00:02:18,660
+تبعد مثلا R1 كتلتها M1 بحيث تعمل centrifugal force
+
+21
+00:02:18,660 --> 00:02:23,280
+مساوية في المقدار للcentrifugal force الأصلية
+
+22
+00:02:23,280 --> 00:02:31,140
+ومضادلها في الاتجاه بحيث تكون تساوية M1 Omega
+
+23
+00:02:31,140 --> 00:02:33,860
+Square R1
+
+24
+00:02:35,200 --> 00:02:38,320
+طبعا اميجا سكوير اما اميجا سكوير ستتغلق يعني هتكون
+
+25
+00:02:38,320 --> 00:02:44,220
+M في R اذا
+
+26
+00:02:44,220 --> 00:02:50,500
+اضفت كتلة على الطرف الآخر ال net force عند ال axis
+
+27
+00:02:50,500 --> 00:02:56,080
+of rotation هتكون Zero هتكون Zero و بتاع انا بقلل
+
+28
+00:02:56,080 --> 00:03:01,400
+ال noise و بوزن الكتلة هذا
+
+29
+00:03:01,400 --> 00:03:06,710
+الكلام ينطق في حالة single massيعني عندي هاي الجسم
+
+30
+00:03:06,710 --> 00:03:11,070
+الأصلي وزنتها ب mass واحدة بتدور في نفس المستوى
+
+31
+00:03:11,070 --> 00:03:17,190
+بتدور في نفس مستوى الواقع فيه الكتلة الأولى في
+
+32
+00:03:17,190 --> 00:03:20,830
+الحالة هذه for this mass to be balanced هتكون mr
+
+33
+00:03:20,830 --> 00:03:28,630
+بسوء m واحد r واحد لإني
+
+34
+00:03:28,630 --> 00:03:30,070
+عندي حالات أخرى
+
+35
+00:03:38,330 --> 00:03:45,050
+Balancing of a Single Rotating Mass By
+
+36
+00:03:45,050 --> 00:03:52,010
+Two Masses بدوازينها باستخدام كتلة اتنين كتلة M
+
+37
+00:03:52,010 --> 00:04:00,190
+واحد وكتلة M اتنين لكن ال M واحد هذا بالظبط الشكل
+
+38
+00:04:00,190 --> 00:04:07,150
+هذا ال M واحدو وقع في مستوى مختلف عن مستوى M و M2
+
+39
+00:04:07,150 --> 00:04:12,170
+وقع في مستوى M مختلف عن مستوى M
+
+40
+00:04:22,090 --> 00:04:26,650
+م2 ألاحظ أن الـ M1 أنا موزن حظ M .. الحالة هذه حظ
+
+41
+00:04:26,650 --> 00:04:31,690
+M1 على طرفي ال mass to be balanced يعني عندي M1
+
+42
+00:04:31,690 --> 00:04:35,490
+على الشمال و M2 على اليمين و هذه بتدور بالشكل هذا
+
+43
+00:04:35,490 --> 00:04:44,410
+الآن بعد المستوى م .. مستوى ال M1 عن مستوى ال M1 و
+
+44
+00:04:44,410 --> 00:04:58,200
+بعد مستوى ال M2 هذه الكتلة M هذه M .. Mم2 هد م1 هد
+
+45
+00:04:58,200 --> 00:05:15,440
+المستوى A هد المستوى L هد المستوى M طبعا
+
+46
+00:05:15,440 --> 00:05:20,320
+من ال end view ال mass M ال radius بتاعها R
+
+47
+00:05:24,860 --> 00:05:30,420
+هذا R والماس
+
+48
+00:05:30,420 --> 00:05:38,820
+M1 هذه M1 هذه
+
+49
+00:05:38,820 --> 00:05:43,140
+M2 الريدستة
+
+50
+00:05:43,140 --> 00:05:50,760
+M1 R1 وريدستة M2 R2
+
+51
+00:05:54,160 --> 00:05:58,680
+لازم اكون عندى ال two conditions شرطين لان انا
+
+52
+00:05:58,680 --> 00:06:02,140
+عندى الكتلتين لوزن الكتلة الاصلية جايين فى مستويات
+
+53
+00:06:02,140 --> 00:06:05,340
+مختلفة لازم اكون عندى شرطين عشان يصير عملية
+
+54
+00:06:05,340 --> 00:06:12,960
+التوزين اول شئ قوة الطرد المركزى هى عندى fc
+
+55
+00:06:12,960 --> 00:06:16,540
+هندى
+
+56
+00:06:16,540 --> 00:06:17,720
+هى fc1
+
+57
+00:06:23,130 --> 00:06:27,770
+و FC2 قوة
+
+58
+00:06:27,770 --> 00:06:36,170
+الطرد المركزة لازم تكون ال FC بتستوى
+
+59
+00:06:36,170 --> 00:06:47,790
+ال FC1 زاد ال FC2 ال FC هتكون M Omega
+
+60
+00:06:47,790 --> 00:07:00,620
+Square R ال FC1 M1 Omega Square R1 Fc2 M2 Omega
+
+61
+00:07:00,620 --> 00:07:06,320
+Square R2 لو اختصرت Omega Square عن الطرفين هسيدي
+
+62
+00:07:06,320 --> 00:07:18,460
+M R بسوء M1 R1 زاد M2 R2 هذا الشرط الأول
+
+63
+00:07:28,690 --> 00:07:35,570
+فانا عندي هنا fc2
+
+64
+00:07:35,570 --> 00:07:42,390
+من المستوى ده و fc1
+
+65
+00:07:42,390 --> 00:07:46,730
+و انا عندي هنا fc
+
+66
+00:08:03,210 --> 00:08:07,490
+طيب لأن عشان .. يعني .. يعني هى اللى كان summation
+
+67
+00:08:07,490 --> 00:08:09,770
+of forces بيساوة zero لأن summation of moment
+
+68
+00:08:09,770 --> 00:08:16,910
+حوالين المستوى A .. summation of moment حوالين
+
+69
+00:08:16,910 --> 00:08:21,150
+المستوى A لازم يكون السواء برضه سفر يعني هى كون
+
+70
+00:08:21,150 --> 00:08:30,610
+اللى أخد counter clockwise موجب هكون دي F C 1
+
+71
+00:08:33,450 --> 00:08:38,470
+فى الواحد طبعا ال FC بتعمل ايش لانه واقع فى
+
+72
+00:08:38,470 --> 00:08:46,530
+المستوى مافيش دراع ماقص FC2 الاتنين
+
+73
+00:08:46,530 --> 00:08:59,310
+معناته FC1 الواحد حدث تسوى FC2 الاتنين يعنى ال FC
+
+74
+00:08:59,310 --> 00:09:06,260
+واحد اللى هي بقى عن M واحد omega squareR1 الواحد
+
+75
+00:09:06,260 --> 00:09:15,500
+بالثورة M2 Omega Square R2 L2 لو اختصرنا Omega
+
+76
+00:09:15,500 --> 00:09:22,580
+Square من الطرفين حسينا اندي M1 R1 الواحد بالثورة
+
+77
+00:09:22,580 --> 00:09:28,020
+M2 R2 L2 هذا هو الشرط التاني
+
+78
+00:09:32,550 --> 00:09:37,770
+معناته for this mass M to be balanced by two
+
+79
+00:09:37,770 --> 00:09:46,290
+masses M1 and M2 on the two sides of M لازم يكون
+
+80
+00:09:46,290 --> 00:09:46,690
+عندى
+
+81
+00:10:03,950 --> 00:10:11,050
+الحالة التانية ممكن حالة تانية
+
+82
+00:10:21,220 --> 00:10:23,560
+ممكن يكون ال two masses هاي ال mass to be balanced
+
+83
+00:10:23,560 --> 00:10:32,540
+هذا ال this mass to be balanced و
+
+84
+00:10:32,540 --> 00:10:40,660
+أقع في المستوى ايه
+
+85
+00:10:40,660 --> 00:10:45,460
+it has to be balanced by two masses جايين عديها
+
+86
+00:10:45,460 --> 00:10:50,440
+واحدة من المسام يعني اندي m واحد اندي m واحد
+
+87
+00:10:53,420 --> 00:11:01,880
+واقع في المستوى L هاي
+
+88
+00:11:01,880 --> 00:11:14,980
+M واحد وفي ماس M اتنين واقع
+
+89
+00:11:14,980 --> 00:11:18,560
+في المستوى M
+
+90
+00:11:22,000 --> 00:11:29,660
+والمسافات هدي هدي من المستوى A هدي L1 و هدي بمستوى
+
+91
+00:11:29,660 --> 00:11:33,240
+B L2
+
+92
+00:11:33,240 --> 00:11:43,640
+و هدي بينهم هتكون L من
+
+93
+00:11:43,640 --> 00:11:46,980
+ال end view هتكون ال mass M
+
+94
+00:11:57,000 --> 00:12:04,100
+واقع على بعد R والماس
+
+95
+00:12:04,100 --> 00:12:15,000
+M1 واقع
+
+96
+00:12:15,000 --> 00:12:19,200
+على بعد R1
+
+97
+00:12:25,670 --> 00:12:32,910
+والماس M2 واقع
+
+98
+00:12:32,910 --> 00:12:40,770
+على Radius R2 طبعا
+
+99
+00:12:40,770 --> 00:12:45,450
+هيكون فيه centrifugal force للماس فهي عندهين Fc
+
+100
+00:12:45,450 --> 00:12:52,490
+للماس اللي دعونا توزين وفيه عندهين Fc2
+
+101
+00:12:52,490 --> 00:12:54,030
+وعندهين
+
+102
+00:12:58,470 --> 00:13:05,990
+FC1 و هين هكون هين
+
+103
+00:13:05,990 --> 00:13:09,970
+عندي FC و
+
+104
+00:13:09,970 --> 00:13:16,970
+هين عندي FC1 و
+
+105
+00:13:16,970 --> 00:13:20,450
+FC2
+
+106
+00:13:28,800 --> 00:13:34,860
+برضه عندي conditions هتتحقق عشان اوزد المثلب يعني
+
+107
+00:13:34,860 --> 00:13:42,340
+احكي مصممشن of forces بالساوة zero هكون الساوية
+
+108
+00:13:42,340 --> 00:13:49,240
+عندي Fc زاد
+
+109
+00:13:49,240 --> 00:13:56,460
+Fc2 Fc1 اكسه minus Fc1
+
+110
+00:13:58,100 --> 00:14:05,340
+يعني انا هاكون لدي fc واحد بالساوية fc زائد fc
+
+111
+00:14:05,340 --> 00:14:11,740
+اتنين اللي هي fc واحدة هي M Omega M واحد Omega
+
+112
+00:14:11,740 --> 00:14:21,540
+Square R واحد بالساوية M Omega Square R زائد M Two
+
+113
+00:14:21,540 --> 00:14:24,840
+Omega Square R اتنين
+
+114
+00:14:27,590 --> 00:14:35,270
+لو قسمنا على omega square هساندي M1R1 بسوة M في R
+
+115
+00:14:35,270 --> 00:14:46,350
+زاد M2 في R2 ال
+
+116
+00:14:46,350 --> 00:14:48,270
+condition التاني هبدي أخد summation of moment
+
+117
+00:14:48,270 --> 00:14:49,330
+حوالين A بالساوة 0
+
+118
+00:15:01,510 --> 00:15:03,910
+طبعا ال Fc ما بتعملش مموط لأنا أخد مموط عندي هى
+
+119
+00:15:03,910 --> 00:15:09,950
+هيكون عندي minus Fc
+
+120
+00:15:09,950 --> 00:15:17,150
+1 الواحد زاد
+
+121
+00:15:17,150 --> 00:15:22,210
+Fc
+
+122
+00:15:22,210 --> 00:15:28,730
+2 الاتنين المعنى هتطلع على نفسي لإيش عندي Fc 1
+
+123
+00:15:28,730 --> 00:15:41,250
+الواحدبالساوية Fc2 L2 Fc1 هي M1 Omega Square R1 L1
+
+124
+00:15:41,250 --> 00:15:50,370
+بالساوية M2 Omega Square R2 L2 لو اختصرت Omega
+
+125
+00:15:50,370 --> 00:16:01,700
+Square من الطرفين حسف عندي M1R1 L1 M2 R2 L2 هذا ال
+
+126
+00:16:01,700 --> 00:16:02,620
+second condition
+
+127
+00:16:33,730 --> 00:16:38,050
+هنشوف كيف نوزن balancing of several masses
+
+128
+00:16:38,050 --> 00:16:55,350
+rotating in the same plane هندهين كتلة M1 و
+
+129
+00:16:55,350 --> 00:16:56,150
+M2
+
+130
+00:17:04,340 --> 00:17:13,280
+وعندي M3 وعندي
+
+131
+00:17:13,280 --> 00:17:25,340
+اربعة كتال و M4 M1
+
+132
+00:17:25,340 --> 00:17:32,420
+ال radius بتاعها R1
+
+133
+00:17:33,540 --> 00:17:38,880
+و ال M2 ال ريجيز بتاعها R2
+
+134
+00:17:38,880 --> 00:17:48,520
+و ال M3 ال ريجيز بتاعها R3 و ال M4 ال ريجيز بتاعها
+
+135
+00:17:48,520 --> 00:17:52,740
+R4
+
+136
+00:17:52,740 --> 00:17:57,740
+هذه
+
+137
+00:17:57,740 --> 00:18:02,650
+أربع كتل بتدور وقعين في نفس المستوىواقعين في نفس
+
+138
+00:18:02,650 --> 00:18:07,450
+الوستوى و بيدوروا كلهم بسرعة زاوية omega معناته
+
+139
+00:18:07,450 --> 00:18:12,810
+هكذا centrifugal force fc1 فعندي هنا fc1 due to
+
+140
+00:18:12,810 --> 00:18:18,370
+mass 1 فعندي هنا fc2
+
+141
+00:18:18,370 --> 00:18:27,610
+due to m2 فعندي fc3 وعندي fc4 centrifugal force
+
+142
+00:18:27,610 --> 00:18:30,350
+due to mass 4
+
+143
+00:18:37,930 --> 00:18:44,510
+اللي انا لو أخدت ال polygon ال vector polygon تاع
+
+144
+00:18:44,510 --> 00:18:48,450
+ال forces fc1, fc2, fc3 هكون عندي هى حرص حبد من
+
+145
+00:18:48,450 --> 00:18:52,950
+النقطة .. من النقطة هذه هكون عندي هنا هيا عندي fc1
+
+146
+00:18:52,950 --> 00:18:57,290
+موازن
+
+147
+00:18:57,290 --> 00:19:01,270
+بعدين fc2 جاية عمودية هى fc2
+
+148
+00:19:17,990 --> 00:19:33,610
+Fc3 Fc4 Fc5
+
+149
+00:19:33,610 --> 00:19:33,670
+Fc6 Fc7 Fc8 Fc9 Fc10 Fc11 Fc12 Fc12 Fc13 Fc14 Fc15
+
+150
+00:19:33,670 --> 00:19:33,830
+Fc16 Fc16 Fc17 Fc18 Fc19 Fc20 Fc21 Fc21 Fc21 Fc21
+
+151
+00:19:33,830 --> 00:19:33,850
+Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21
+
+152
+00:19:33,850 --> 00:19:34,090
+Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21
+
+153
+00:19:34,090 --> 00:19:34,210
+Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21
+
+154
+00:19:34,210 --> 00:19:39,090
+Fcto balance these forces هتكون عندي هنا أسكر
+
+155
+00:19:39,090 --> 00:19:45,850
+هتكون عندي هنا Fc Fc
+
+156
+00:19:45,850 --> 00:19:54,750
+فعلا هتكون عندي mass يعني موازلة هذه بدي
+
+157
+00:19:54,750 --> 00:20:02,890
+أسميها M to balance ال masses M1 و M2 و M3 و M4
+
+158
+00:20:02,890 --> 00:20:03,510
+تعمل
+
+159
+00:20:12,540 --> 00:20:18,660
+fc الان لاحظوا fc واحد تعمل هذه theta واحد زاوية
+
+160
+00:20:18,660 --> 00:20:22,100
+من
+
+161
+00:20:22,100 --> 00:20:31,300
+ال positive x axis هذا positive x axis وهذه theta
+
+162
+00:20:31,300 --> 00:20:33,840
+اتنين وهذه
+
+163
+00:20:36,240 --> 00:20:47,140
+ثيتا تلاتة وهذا الثيتا أربعة
+
+164
+00:20:47,140 --> 00:20:53,020
+وهذا الزاوية الثيتا بتاعة ال balancing mass ثيتا
+
+165
+00:20:53,020 --> 00:20:57,980
+يعني
+
+166
+00:20:57,980 --> 00:21:04,340
+عشان أحسب ال mass هحكي summation of forces بالساوة
+
+167
+00:21:04,340 --> 00:21:14,680
+zeroحكي معناته F ك vector F C 1 زائد F C 2 زائد F
+
+168
+00:21:14,680 --> 00:21:24,620
+C 3 زائد F C 4 زائد F C طبعا هذا في ال plane
+
+169
+00:21:24,620 --> 00:21:29,540
+هتعطيني ال two equations two equations يعني ممكن
+
+170
+00:21:29,540 --> 00:21:43,890
+نحكي عن F C 1 F C 1كمتها هتكون fc1 كمتها m 1 omega
+
+171
+00:21:43,890 --> 00:21:57,590
+square r 1 في cosine theta في اتجاه ال I زائد sine
+
+172
+00:21:57,590 --> 00:22:08,400
+theta في theta 1باتجاه الجهة و نفس الشي ف C2 هتكون
+
+173
+00:22:08,400 --> 00:22:18,180
+M2 Omega Square R2 في Cos θ2 باتجاه ال I زائد Sin
+
+174
+00:22:18,180 --> 00:22:30,920
+θ2 باتجاه الجهة و F C3 هتكون M3 Omega Square R3فى
+
+175
+00:22:30,920 --> 00:22:37,880
+cosine θ تلاتة بالاتجاه ال I زاد sin θ تلاتة
+
+176
+00:22:37,880 --> 00:22:49,100
+بالاتجاه ال J و F C 4 هتسوى M 4 Omega Square R 4
+
+177
+00:22:49,100 --> 00:22:57,960
+فى cosine θ 4 بالاتجاه ال I زاد sin θ 4 بالاتجاه
+
+178
+00:22:57,960 --> 00:22:58,360
+ال J
+
+179
+00:23:02,650 --> 00:23:12,650
+طيب و ال FC هتكون ال mass بتاعتها في omega square
+
+180
+00:23:12,650 --> 00:23:21,710
+في ال R في cosine theta باتجاه ال I زاد sin theta
+
+181
+00:23:21,710 --> 00:23:31,130
+باتجاه ال J طيب بتطلع عندى two equations
+
+182
+00:23:37,250 --> 00:23:40,810
+Solve Two Equations
+
+183
+00:23:48,590 --> 00:23:54,470
+اللي هي summation لل Fx بالساوية 0 و summation لل
+
+184
+00:23:54,470 --> 00:24:05,430
+Fy بالساوية 0 for M and θ or for M and R or for θ
+
+185
+00:24:05,430 --> 00:24:13,710
+and R هيك بنكون وزلنا مجموعين كتل M1 M2 M3 M4
+
+186
+00:24:13,710 --> 00:24:17,350
+بدوروا في نفس المستوى بكتلة واحدة تدور في نفس
+
+187
+00:24:17,350 --> 00:24:43,290
+المستوىنشوف مثال طيب
+
+188
+00:24:43,290 --> 00:24:44,050
+نشوف مثال
+
+189
+00:25:07,730 --> 00:25:12,450
+في عندي أربع كتل كتلة
+
+190
+00:25:12,450 --> 00:25:19,530
+M1 كتلة 200 كيلو جرام M2 300 كيلو جرام و M3 240
+
+191
+00:25:19,530 --> 00:25:26,590
+كيلو جرام و M4 260 كيلو جرام ال
+
+192
+00:25:26,590 --> 00:25:29,550
+M جاية على ال X Axis
+
+193
+00:25:41,140 --> 00:25:45,400
+يعني خلينا نحكي ال
+
+194
+00:25:45,400 --> 00:25:51,420
+number نحكي
+
+195
+00:25:51,420 --> 00:25:56,040
+واحد هنا ال mass واحد
+
+196
+00:25:56,040 --> 00:26:03,520
+اتنين تلاتة اربعة الكتلة
+
+197
+00:26:03,520 --> 00:26:06,900
+الأولى وزنها م واحد متين كيلو جرام
+
+198
+00:26:10,200 --> 00:26:17,440
+الكتلة التانية تلاتمية كيلو جرام الكتلة التالتة
+
+199
+00:26:17,440 --> 00:26:25,800
+متين واربعين كيلو جرام والكتلة الرابعة متين وستين
+
+200
+00:26:25,800 --> 00:26:38,240
+كيلو جرام يعني واحدة كيلو جرام طيب كل
+
+201
+00:26:38,240 --> 00:26:39,000
+كتلة إلها radius
+
+202
+00:26:44,690 --> 00:26:54,330
+عندي ال R الكتلة بال .. بالمتر وحدة المتر ال mass
+
+203
+00:26:54,330 --> 00:27:03,210
+M واحد ال radius بتاعها point اتنين متر ال M اتنين
+
+204
+00:27:03,210 --> 00:27:10,550
+point واحد خمسة ال
+
+205
+00:27:10,550 --> 00:27:14,070
+M تلاتة point اتنين خمسة
+
+206
+00:27:18,050 --> 00:27:28,130
+الـ M4 بونت تلاتة نشوف
+
+207
+00:27:28,130 --> 00:27:38,030
+الـ theta بال degrees ال
+
+208
+00:27:38,030 --> 00:27:43,390
+mass الأولى ال theta بتاعتها صفر اللي هي M1 صفر ال
+
+209
+00:27:43,390 --> 00:27:56,730
+mass التانيةخمسة و أربعين خمسة و أربعين درجة الماس
+
+210
+00:27:56,730 --> 00:28:00,370
+الماس
+
+211
+00:28:00,370 --> 00:28:07,650
+الأولى خمسة و أربعين الماس التانية مية و عشرين
+
+212
+00:28:07,650 --> 00:28:17,230
+درجة الماس
+
+213
+00:28:17,230 --> 00:28:18,010
+الرابعة
+
+214
+00:28:21,890 --> 00:28:27,930
+الماس الرابع مائتين و خمسة و خمسين درجة مائتين و
+
+215
+00:28:27,930 --> 00:28:34,390
+خمسة و خمسين درجة مائتين
+
+216
+00:28:34,390 --> 00:28:35,850
+و خمسة و خمسين درجة مائتين و خمسة و خمسين درجة
+
+217
+00:28:35,850 --> 00:28:39,130
+مائتين و خمسة و خمسين درجة مائتين و خمسة و خمسين
+
+218
+00:28:39,130 --> 00:28:39,450
+درجة مائتين و خمسة و خمسين درجة مائتين و خمسة و
+
+219
+00:28:39,450 --> 00:28:39,890
+خمسة و خمسين درجة مائتين و خمسة و خمسين درجة
+
+220
+00:28:39,890 --> 00:28:43,230
+مائتين
+
+221
+00:28:43,230 --> 00:28:50,870
+و خمسة و خمسين درجة مائتين و خمسة و خمسة و
+
+222
+00:28:53,150 --> 00:28:58,410
+كل الماس M على
+
+223
+00:28:58,410 --> 00:29:06,750
+بعد 2 من 10 متر يعني هعمل balance الكتلة
+
+224
+00:29:06,750 --> 00:29:11,490
+تاعتها مش معروفة M ال
+
+225
+00:29:11,490 --> 00:29:17,310
+radius تاعتها point 2 والزاوية
+
+226
+00:29:17,310 --> 00:29:19,010
+تاعتها مجهولة theta
+
+227
+00:29:26,220 --> 00:29:39,920
+بذاتها مجهولة ثالثا بدي
+
+228
+00:29:39,920 --> 00:29:48,860
+احسب ال Fc لكل كتلة لكل omega square يعني Fc على
+
+229
+00:29:48,860 --> 00:29:57,220
+omega square ال Fc هتكون اعساس في ال Fcيعني هذه
+
+230
+00:29:57,220 --> 00:30:10,740
+هتكون تساوية M في R هتكون
+
+231
+00:30:10,740 --> 00:30:15,440
+دهين متين في اتنين من عشرة اربعين
+
+232
+00:30:22,210 --> 00:30:31,410
+تلاتمية في point واحد خمسة خمسة واربعين متين
+
+233
+00:30:31,410 --> 00:30:39,130
+واربعين في ربع ستين متين
+
+234
+00:30:39,130 --> 00:30:49,330
+وستين في تلاتة من عشرة يعني تمانية وسبعين وهذه
+
+235
+00:30:49,330 --> 00:30:50,750
+هتكون اتنين من عشرة
+
+236
+00:30:56,990 --> 00:31:13,250
+ام اتنين من عشرة ام
+
+237
+00:31:13,250 --> 00:31:20,430
+بتحسب
+
+238
+00:31:20,430 --> 00:31:30,750
+ال Fcx على omega square و ال fcy على omega square
+
+239
+00:31:30,750 --> 00:31:38,590
+يعني هذي بتساوي يعني هتكون ال fc على
+
+240
+00:31:38,590 --> 00:31:46,710
+omega square اتجاه ال x هتكون fc على omega square
+
+241
+00:31:46,710 --> 00:31:56,700
+في cosine thetaو ال Fcy على omega square بتساوي Fc
+
+242
+00:31:56,700 --> 00:32:04,720
+على omega square sin θ يعني
+
+243
+00:32:04,720 --> 00:32:09,680
+الأولى هتكون cosine السفر أكم؟ cosine السفر واحد
+
+244
+00:32:09,680 --> 00:32:14,080
+يعني هذا هتكون أربعين cosine
+
+245
+00:32:14,080 --> 00:32:16,800
+السفر سفر
+
+246
+00:32:21,060 --> 00:32:25,460
+التانية هتكون cos 45
+
+247
+00:32:57,830 --> 00:33:09,110
+الثانية هتكون اللي هو قسطين الخمس واربعين في
+
+248
+00:33:24,040 --> 00:33:45,900
+خمسة وأربعين تطلع
+
+249
+00:33:45,900 --> 00:33:49,940
+واحد تلاتين point تمانية اتنين واحد تلاتين
+
+250
+00:33:54,260 --> 00:33:58,800
+point تمانية اتنين point تمانية اتنين point تمانية
+
+251
+00:33:58,800 --> 00:34:01,900
+اتنين point تمانية اتنين point تمانية اتنين point
+
+252
+00:34:01,900 --> 00:34:03,360
+تمانية اتنين point تمانية اتنين point تمانية اتنين
+
+253
+00:34:03,360 --> 00:34:05,160
+point تمانية اتنين point تمانية اتنين point تمانية
+
+254
+00:34:05,160 --> 00:34:05,320
+اتنين point تمانية اتنين point تمانية اتنين point
+
+255
+00:34:05,320 --> 00:34:08,340
+تمانية اتنين point تمانية اتنين point تمانية اتنين
+
+256
+00:34:08,340 --> 00:34:10,560
+point تمانية اتنين point تمانية اتنين point تمانية
+
+257
+00:34:10,560 --> 00:34:15,080
+point تمانية اتنين point تمانية اتنين point تمانية
+
+258
+00:34:15,080 --> 00:34:22,060
+اتنين point تمانية
+
+259
+00:34:22,060 --> 00:34:22,080
+اتنين
+
+260
+00:34:34,310 --> 00:34:43,170
+تطلع واحد و خمسين بون تسعة ستة واحد و خمسين بون
+
+261
+00:34:43,170 --> 00:34:50,650
+تسعة ستة الرابع الرابع
+
+262
+00:34:50,650 --> 00:34:55,810
+هتكون كسين الاتنين و خمسة خمسين
+
+263
+00:35:11,870 --> 00:35:18,470
+هتكون ماقص عشرين point واحد تسعة ماقص عشرين point
+
+264
+00:35:18,470 --> 00:35:39,210
+واحد تسعة وماقص
+
+265
+00:35:39,210 --> 00:35:40,670
+خمس سبعين point تلت أربعة
+
+266
+00:35:54,080 --> 00:36:05,560
+أو ممكن أسميها هنا Fc Fc X و Fc Y احكي
+
+267
+00:36:05,560 --> 00:36:10,620
+summation لل forces باتجاه ال X بتكون تساوي سفر
+
+268
+00:36:10,620 --> 00:36:17,460
+يعني انا هتكون عندي اربعين زاد واحد تلاتين point
+
+269
+00:36:17,460 --> 00:36:27,910
+تمانية اتنين ماقص تلاتيننقص عشرين بون تسعتاش زاد F
+
+270
+00:36:27,910 --> 00:36:37,190
+C X معناته F C X هتساوي ان
+
+271
+00:36:37,190 --> 00:36:37,870
+اربعين
+
+272
+00:36:58,050 --> 00:37:04,550
+هتطلع ناقص واحد و عشرين point
+
+273
+00:37:04,550 --> 00:37:16,130
+ستة تلاتة هذا fcx fcy summation للfy بالساوة سفر
+
+274
+00:37:16,130 --> 00:37:23,850
+هكون عندي سفر زاد واحد و تلاتين point تمانية اتنين
+
+275
+00:37:25,670 --> 00:37:34,070
+زاد واحد و خمسين point تسعة ستة ناقص
+
+276
+00:37:34,070 --> 00:37:45,090
+خمسة سبعين point تلاتة أربعة زاد fcy يعني fcy
+
+277
+00:37:45,090 --> 00:37:47,190
+هتطلع
+
+278
+00:38:10,540 --> 00:38:16,100
+بطلعت ناقص تمانية point
+
+279
+00:38:16,100 --> 00:38:18,760
+أربعة أربعة
+
+280
+00:38:38,370 --> 00:38:40,710
+يعني إيه اللي في ال X؟ إيه اللي مركبة Negative في
+
+281
+00:38:40,710 --> 00:38:51,370
+ال X Axis؟ هذه مركبة Negative
+
+282
+00:38:51,370 --> 00:38:59,350
+هي 21 و بال negative Y إيه اللي هيش؟ يعني خليني
+
+283
+00:38:59,350 --> 00:39:04,090
+أسمي هذه خليني
+
+284
+00:39:04,090 --> 00:39:14,650
+أسمي هذه Betaيعني ممكن احكي tan beta هتكون
+
+285
+00:39:14,650 --> 00:39:22,090
+الساعة واحد و عشرين point ست تلاتة على تمانية
+
+286
+00:39:22,090 --> 00:39:32,120
+بتساوي لأ العكس tan beta بتساوي8.4421
+
+287
+00:39:32,120 --> 00:39:40,180
+.638.4421
+
+288
+00:39:40,180 --> 00:39:41,240
+.63
+
+289
+00:40:24,980 --> 00:40:39,000
+كوصان انفرس طيب
+
+290
+00:40:39,000 --> 00:40:49,720
+الهم بنحسب بيتا بعدين ثتا هتكونهتكون ان هي مية و
+
+291
+00:40:49,720 --> 00:40:53,460
+تمانين زاد
+
+292
+00:40:53,460 --> 00:40:57,420
+Beta معناته
+
+293
+00:40:57,420 --> 00:41:00,500
+بدي
+
+294
+00:41:00,500 --> 00:41:08,100
+احسب ال total FC FC هتكون الجزر التربيعي ل FC X
+
+295
+00:41:08,100 --> 00:41:13,520
+تربيع زاد FC Y تربيع يعني هتكون سوى الجزر التربيعي
+
+296
+00:41:13,520 --> 00:41:14,720
+ل
+
+297
+00:41:16,540 --> 00:41:28,000
+21.63 تربيع زي 8.44 تربيع يعني هتكون قيمتها تقريبا
+
+298
+00:41:28,000 --> 00:41:34,420
+fc على omega square هتكون
+
+299
+00:41:34,420 --> 00:41:36,160
+جزر التربيع ل
+
+300
+00:41:59,200 --> 00:42:01,960
+تطلع تلاتة و عشرين point اتنين و عشرين تلاتة و
+
+301
+00:42:01,960 --> 00:42:05,680
+عشرين point
+
+302
+00:42:05,680 --> 00:42:17,020
+اتنين و عشرين هذه بتساوي M في R يعني ال M هتساوي
+
+303
+00:42:17,020 --> 00:42:23,860
+اللي هو تلاتة و عشرين point اتنين اتنين ال R
+
+304
+00:42:23,860 --> 00:42:25,120
+بتاعتها اللي هي point اتنين
+
+305
+00:42:35,830 --> 00:42:43,870
+تقسيم 0.2 تطلع 116.1 كيلو جرام
+
+306
+00:42:55,010 --> 00:43:05,350
+لنحكي 116.092
+
+307
+00:43:05,350 --> 00:43:10,630
+كيلو جرام ايه
+
+308
+00:43:10,630 --> 00:43:15,490
+كان يكون الماس هذه وزنت الأربع كتر M1 M2 M3 مافيش
+
+309
+00:43:15,490 --> 00:43:21,230
+اي اهتزازات ولا اي قوة
+
+310
+00:43:21,230 --> 00:43:27,040
+محورية على الشافتة ال rotating shaftهيك نكون هنا
+
+311
+00:43:27,040 --> 00:43:30,960
+المحاضرة الأولى من هذا ال chapter المحاضرة الجاية
+
+312
+00:43:30,960 --> 00:43:33,340
+بنكمل ال chapter ان شاء الله
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oZvqG8OK4_w_raw.json b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oZvqG8OK4_w_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..1fd4d8af063c4c186f6d5bee12ef61e6898b5854
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oZvqG8OK4_w_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2729, "start": 5.57, "end": 27.29, "text": "بسم الله الرحمن الرحيم السلام عليكم ورحمة الله وبركاته اليوم هنبدأ موضوع جديد في مادة نظرية الألات الموضوع هكون balancing of rotating masses توزين الكتل الدورة طبعا إذا عندك كتل .. كتلة بتدور يعني لو عندك كتلة", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21136, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224, 45595, 20498, 8032, 1863, 44510, 10721, 3714, 2407, 11242, 45367, 10874, 16254, 3215, 8978, 3714, 18513, 3660, 8717, 19913, 2288, 10632, 16247, 1211, 9307, 9673, 2407, 11242, 45367, 8032, 30544, 22495, 295, 19627, 23935, 33427, 11622, 9957, 33251, 2655, 1211, 32748, 13063, 3660, 23032, 3555, 3615, 995, 11933, 15730, 43242, 4117, 9122, 2655, 1211, 4386, 9122, 2655, 37977, 39894, 3215, 13063, 37495, 22653, 45164, 43242, 4117, 9122, 2655, 37977], "avg_logprob": -0.10887097126694135, "compression_ratio": 1.714975845410628, "no_speech_prob": 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{"id": 2, "seek": 6584, "start": 36.67, "end": 65.85, "text": "هذه كتلة و دورها وهذه مركز تقالها الان لو كانت تدور بسرعة زاوية omega هيكون لها normal acceleration م ايه normal او ايه normal بتساوي normal acceleration اللي هي omega square في R هذه ال R", "tokens": [3224, 24192, 9122, 2655, 37977, 4032, 11778, 13063, 11296, 37037, 24192, 3714, 31747, 11622, 6055, 4587, 6027, 11296, 2423, 7649, 45164, 25961, 2655, 6055, 3215, 13063, 4724, 3794, 2288, 27884, 30767, 995, 2407, 10632, 10498, 39896, 30544, 5296, 11296, 2710, 17162, 3714, 1975, 1829, 3224, 2710, 1975, 2407, 1975, 1829, 3224, 2710, 39894, 3794, 995, 45865, 2710, 17162, 13672, 1829, 39896, 10498, 3732, 8978, 497, 29538, 2423, 497], "avg_logprob": -0.3466938371243684, "compression_ratio": 1.6272189349112427, "no_speech_prob": 0.0, "words": [{"start": 36.67, "end": 36.95, "word": "هذه", "probability": 0.78857421875}, {"start": 36.95, "end": 37.21, "word": " كتلة", "probability": 0.8863932291666666}, {"start": 37.21, "end": 37.31, 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886.77, "end": 887.27, "word": " التاني", "probability": 0.9523111979166666}, {"start": 887.27, "end": 887.47, "word": " هبدي", "probability": 0.44403076171875}, {"start": 887.47, "end": 887.65, "word": " أخد", "probability": 0.7615559895833334}, {"start": 887.65, "end": 887.95, "word": " summation", "probability": 0.9189453125}, {"start": 887.95, "end": 888.11, "word": " of", "probability": 0.966796875}, {"start": 888.11, "end": 888.27, "word": " moment", "probability": 0.892578125}, {"start": 888.27, "end": 888.57, "word": " حوالين", "probability": 0.9473876953125}, {"start": 888.57, "end": 888.67, "word": " A", "probability": 0.771484375}, {"start": 888.67, "end": 889.11, "word": " بالساوة", "probability": 0.7265625}, {"start": 889.11, "end": 889.33, "word": " 0", "probability": 0.482421875}], "temperature": 1.0}, {"id": 31, "seek": 92967, "start": 901.51, "end": 929.67, "text": "طبعا ال Fc ما بتعملش مموط لأنا أخد مموط عندي هى هيكون عندي minus Fc 1 الواحد زاد Fc 2 الاتنين المعنى هتطلع على نفسي لإيش عندي Fc 1 الواحد", "tokens": [9566, 3555, 3615, 995, 2423, 479, 66, 19446, 39894, 25957, 1211, 8592, 3714, 2304, 2407, 9566, 5296, 10721, 8315, 5551, 9778, 3215, 3714, 2304, 2407, 9566, 18871, 16254, 8032, 7578, 39896, 30544, 18871, 16254, 3175, 479, 66, 502, 2423, 14407, 24401, 30767, 18513, 479, 66, 568, 2423, 9307, 1863, 9957, 9673, 3615, 1863, 7578, 8032, 2655, 9566, 1211, 3615, 15844, 8717, 36178, 1829, 5296, 28814, 1829, 8592, 18871, 16254, 479, 66, 502, 2423, 14407, 24401], "avg_logprob": -0.494654633496937, "compression_ratio": 1.5369127516778522, "no_speech_prob": 0.0, "words": [{"start": 901.51, "end": 901.89, "word": "طبعا", "probability": 0.7987060546875}, {"start": 901.89, "end": 901.97, "word": " ال", "probability": 0.77978515625}, {"start": 901.97, "end": 902.25, "word": " Fc", "probability": 0.4732666015625}, {"start": 902.25, "end": 902.41, "word": " ما", "probability": 0.1802978515625}, {"start": 902.41, "end": 902.63, "word": " بتعملش", "probability": 0.57391357421875}, {"start": 902.63, "end": 902.83, "word": " مموط", "probability": 0.445709228515625}, {"start": 902.83, "end": 902.97, "word": " لأنا", "probability": 0.4463704427083333}, {"start": 902.97, "end": 903.25, "word": " أخد", "probability": 0.748046875}, {"start": 903.25, "end": 903.49, "word": " مموط", "probability": 0.97119140625}, {"start": 903.49, "end": 903.75, "word": " عندي", "probability": 0.7117919921875}, {"start": 903.75, "end": 903.91, "word": " هى", "probability": 0.2969970703125}, {"start": 903.91, "end": 904.21, "word": " هيكون", "probability": 0.30670166015625}, {"start": 904.21, "end": 904.47, "word": " عندي", "probability": 0.83740234375}, {"start": 904.47, "end": 905.85, "word": " minus", "probability": 0.38134765625}, {"start": 905.85, "end": 909.95, "word": " Fc", "probability": 0.8095703125}, {"start": 909.95, "end": 910.51, "word": " 1", "probability": 0.3720703125}, {"start": 910.51, "end": 911.81, "word": " الواحد", "probability": 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{"start": 928.73, "end": 929.67, "word": " الواحد", "probability": 0.9856770833333334}], "temperature": 1.0}, {"id": 32, "seek": 95271, "start": 930.37, "end": 952.71, "text": "بالساوية Fc2 L2 Fc1 هي M1 Omega Square R1 L1 بالساوية M2 Omega Square R2 L2 لو اختصرت Omega Square من الطرفين حسف عندي M1", "tokens": [3555, 6027, 3794, 995, 2407, 10632, 479, 66, 17, 441, 17, 479, 66, 16, 39896, 376, 16, 27645, 16463, 497, 16, 441, 16, 4724, 6027, 3794, 995, 2407, 10632, 376, 17, 27645, 16463, 497, 17, 441, 17, 45164, 1975, 46456, 9381, 43500, 27645, 16463, 9154, 41950, 28480, 9957, 11331, 3794, 5172, 18871, 16254, 376, 16], "avg_logprob": -0.33035714977553915, "compression_ratio": 1.3471074380165289, "no_speech_prob": 2.384185791015625e-06, "words": [{"start": 930.37, "end": 931.01, "word": "بالساوية", "probability": 0.6712646484375}, {"start": 931.01, "end": 932.01, "word": " Fc2", "probability": 0.4574381510416667}, {"start": 932.01, "end": 933.01, "word": " L2", "probability": 0.644775390625}, {"start": 933.01, "end": 934.51, "word": " Fc1", "probability": 0.794921875}, {"start": 934.51, "end": 934.73, "word": " هي", "probability": 0.06842041015625}, {"start": 934.73, "end": 935.53, "word": " M1", "probability": 0.888916015625}, {"start": 935.53, "end": 936.85, "word": " Omega", "probability": 0.64013671875}, {"start": 936.85, "end": 937.47, "word": " Square", "probability": 0.4384765625}, {"start": 937.47, "end": 940.27, "word": " R1", "probability": 0.960693359375}, {"start": 940.27, "end": 941.25, "word": " L1", "probability": 0.839111328125}, {"start": 941.25, "end": 942.43, "word": " بالساوية", "probability": 0.8196614583333334}, {"start": 942.43, "end": 943.47, "word": " M2", "probability": 0.9892578125}, {"start": 943.47, "end": 944.75, "word": " Omega", "probability": 0.94189453125}, {"start": 944.75, "end": 945.29, "word": " Square", "probability": 0.91455078125}, {"start": 945.29, "end": 947.01, "word": " R2", "probability": 0.99169921875}, {"start": 947.01, "end": 948.87, "word": " L2", "probability": 0.958251953125}, {"start": 948.87, "end": 949.65, "word": " لو", "probability": 0.81396484375}, {"start": 949.65, "end": 950.11, "word": " اختصرت", "probability": 0.891845703125}, {"start": 950.11, "end": 950.37, "word": " Omega", "probability": 0.9306640625}, {"start": 950.37, "end": 950.63, "word": " Square", "probability": 0.8994140625}, {"start": 950.63, "end": 950.77, "word": " من", "probability": 0.96240234375}, {"start": 950.77, "end": 951.31, "word": " الطرفين", "probability": 0.86865234375}, {"start": 951.31, "end": 951.69, "word": " حسف", "probability": 0.5282389322916666}, {"start": 951.69, "end": 952.03, "word": " عندي", "probability": 0.595703125}, {"start": 952.03, "end": 952.71, "word": " M1", "probability": 0.96337890625}], "temperature": 1.0}, {"id": 33, "seek": 96262, "start": 953.66, "end": 962.62, "text": "R1 L1 M2 R2 L2 هذا ال second condition", "tokens": [49, 16, 441, 16, 376, 17, 497, 17, 441, 17, 23758, 2423, 1150, 4188], "avg_logprob": -0.3653645873069763, "compression_ratio": 0.8775510204081632, "no_speech_prob": 0.0, "words": [{"start": 953.66, "end": 954.54, "word": "R1", "probability": 0.65771484375}, {"start": 954.54, "end": 956.36, "word": " L1", "probability": 0.6197509765625}, {"start": 956.36, "end": 958.1, "word": " M2", "probability": 0.7017822265625}, {"start": 958.1, "end": 959.78, "word": " R2", "probability": 0.9775390625}, {"start": 959.78, "end": 961.22, "word": " L2", "probability": 0.987060546875}, {"start": 961.22, "end": 961.56, "word": " هذا", "probability": 0.6826171875}, {"start": 961.56, "end": 961.7, "word": " ال", "probability": 0.495849609375}, {"start": 961.7, "end": 961.96, "word": " second", "probability": 0.350830078125}, {"start": 961.96, "end": 962.62, "word": " condition", "probability": 0.9619140625}], "temperature": 1.0}, {"id": 34, "seek": 101615, "start": 993.73, "end": 1016.15, "text": "هنشوف كيف نوزن balancing of several masses rotating in the same plane هندهين كتلة M1 و M2", "tokens": [3224, 1863, 8592, 38688, 9122, 33911, 8717, 2407, 11622, 1863, 22495, 295, 2940, 23935, 19627, 294, 264, 912, 5720, 8032, 41260, 3224, 9957, 9122, 2655, 37977, 376, 16, 4032, 376, 17], "avg_logprob": -0.26684570126235485, "compression_ratio": 1.0275229357798166, "no_speech_prob": 0.0, "words": [{"start": 993.73, "end": 994.21, "word": "هنشوف", "probability": 0.78131103515625}, {"start": 994.21, "end": 994.43, "word": " كيف", "probability": 0.959228515625}, {"start": 994.43, "end": 995.27, "word": " نوزن", "probability": 0.89892578125}, {"start": 995.27, "end": 996.03, "word": " balancing", "probability": 0.2069091796875}, {"start": 996.03, "end": 996.27, "word": " of", "probability": 0.96533203125}, {"start": 996.27, "end": 997.51, "word": " several", "probability": 0.8349609375}, {"start": 997.51, "end": 998.05, "word": " masses", "probability": 0.7666015625}, {"start": 998.05, "end": 998.51, "word": " rotating", "probability": 0.9150390625}, {"start": 998.51, "end": 999.19, "word": " in", "probability": 0.95263671875}, {"start": 999.19, "end": 999.39, "word": " the", "probability": 0.89306640625}, {"start": 999.39, "end": 999.91, "word": " same", "probability": 0.90966796875}, {"start": 999.91, "end": 1001.13, "word": " plane", "probability": 0.90234375}, {"start": 1001.13, "end": 1003.27, "word": " هندهين", "probability": 0.61663818359375}, {"start": 1003.27, "end": 1005.31, "word": " كتلة", "probability": 0.9822591145833334}, {"start": 1005.31, "end": 1006.93, "word": " M1", "probability": 0.725341796875}, {"start": 1006.93, "end": 1015.35, "word": " و", "probability": 0.6044921875}, {"start": 1015.35, "end": 1016.15, "word": " M2", "probability": 0.772216796875}], "temperature": 1.0}, {"id": 35, "seek": 105242, "start": 1024.34, "end": 1052.42, "text": "وعندي M3 وعندي اربعة كتال و M4 M1 ال radius بتاعها R1", "tokens": [2407, 3615, 1863, 16254, 376, 18, 4032, 3615, 1863, 16254, 1975, 25513, 27884, 9122, 2655, 6027, 4032, 376, 19, 376, 16, 2423, 15845, 39894, 45761, 11296, 497, 16], "avg_logprob": -0.38793102215076314, "compression_ratio": 1.0657894736842106, "no_speech_prob": 0.0, "words": [{"start": 1024.34, "end": 1024.82, "word": "وعندي", "probability": 0.58538818359375}, {"start": 1024.82, "end": 1025.62, "word": " M3", "probability": 0.7919921875}, {"start": 1025.62, "end": 1033.28, "word": " وعندي", "probability": 0.900390625}, {"start": 1033.28, "end": 1034.22, "word": " اربعة", "probability": 0.5984700520833334}, {"start": 1034.22, "end": 1034.56, "word": " كتال", "probability": 0.8385416666666666}, {"start": 1034.56, "end": 1034.72, "word": " و", "probability": 0.92919921875}, {"start": 1034.72, "end": 1036.16, "word": " M4", "probability": 0.58526611328125}, {"start": 1036.16, "end": 1045.34, "word": " M1", "probability": 0.90478515625}, {"start": 1045.34, "end": 1045.76, "word": " ال", "probability": 0.30810546875}, {"start": 1045.76, "end": 1046.0, "word": " radius", "probability": 0.61962890625}, {"start": 1046.0, "end": 1047.42, "word": " بتاعها", "probability": 0.748046875}, {"start": 1047.42, "end": 1052.42, "word": " R1", "probability": 0.82470703125}], "temperature": 1.0}, {"id": 36, "seek": 108048, "start": 1053.54, "end": 1080.48, "text": "و ال M2 ال ريجيز بتاعها R2 و ال M3 ال ريجيز بتاعها R3 و ال M4 ال ريجيز بتاعها R4 هذه أربع كتل بتدور وقعين في نفس المستوى", "tokens": [2407, 2423, 376, 17, 2423, 12602, 1829, 7435, 1829, 11622, 39894, 45761, 11296, 497, 17, 4032, 2423, 376, 18, 2423, 12602, 1829, 7435, 1829, 11622, 39894, 45761, 11296, 497, 18, 4032, 2423, 376, 19, 2423, 12602, 1829, 7435, 1829, 11622, 39894, 45761, 11296, 497, 19, 29538, 5551, 25513, 3615, 9122, 2655, 1211, 39894, 3215, 13063, 4032, 4587, 3615, 9957, 8978, 8717, 36178, 9673, 14851, 2407, 7578], "avg_logprob": -0.2441697707816736, "compression_ratio": 1.7699115044247788, "no_speech_prob": 0.0, "words": [{"start": 1053.54, "end": 1053.72, "word": "و", "probability": 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{"start": 1062.66, "end": 1065.18, "word": " R3", "probability": 0.97998046875}, {"start": 1065.18, "end": 1066.46, "word": " و", "probability": 0.96142578125}, {"start": 1066.46, "end": 1066.62, "word": " ال", "probability": 0.6376953125}, {"start": 1066.62, "end": 1067.14, "word": " M4", "probability": 0.995849609375}, {"start": 1067.14, "end": 1067.3, "word": " ال", "probability": 0.6298828125}, {"start": 1067.3, "end": 1067.58, "word": " ريجيز", "probability": 0.90654296875}, {"start": 1067.58, "end": 1068.52, "word": " بتاعها", "probability": 0.9736328125}, {"start": 1068.52, "end": 1072.74, "word": " R4", "probability": 0.985595703125}, {"start": 1072.74, "end": 1077.74, "word": " هذه", "probability": 0.68505859375}, {"start": 1077.74, "end": 1078.08, "word": " أربع", "probability": 0.72021484375}, {"start": 1078.08, "end": 1078.4, "word": " كتل", "probability": 0.8465169270833334}, {"start": 1078.4, "end": 1078.9, "word": " بتدور", "probability": 0.93310546875}, {"start": 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{"start": 2520.06, "end": 2520.36, "word": " عشرين", "probability": 0.87060546875}, {"start": 2520.36, "end": 2520.72, "word": " point", "probability": 0.93994140625}, {"start": 2520.72, "end": 2521.04, "word": " اتنين", "probability": 0.91748046875}, {"start": 2521.04, "end": 2521.16, "word": " و", "probability": 0.75830078125}, {"start": 2521.16, "end": 2521.4, "word": " عشرين", "probability": 0.8904622395833334}, {"start": 2521.4, "end": 2521.84, "word": " تلاتة", "probability": 0.8017578125}, {"start": 2521.84, "end": 2521.96, "word": " و", "probability": 0.99462890625}, {"start": 2521.96, "end": 2522.36, "word": " عشرين", "probability": 0.94873046875}, {"start": 2522.36, "end": 2525.68, "word": " point", "probability": 0.96044921875}, {"start": 2525.68, "end": 2526.06, "word": " اتنين", "probability": 0.945556640625}, {"start": 2526.06, "end": 2526.18, "word": " و", "probability": 0.994140625}, {"start": 2526.18, "end": 2526.64, "word": " عشرين", "probability": 0.9609375}, {"start": 2526.64, "end": 2528.12, "word": " هذه", "probability": 0.251708984375}, {"start": 2528.12, "end": 2530.14, "word": " بتساوي", "probability": 0.8153076171875}, {"start": 2530.14, "end": 2531.3, "word": " M", "probability": 0.68359375}, {"start": 2531.3, "end": 2532.54, "word": " في", "probability": 0.447509765625}, {"start": 2532.54, "end": 2532.9, "word": " R", "probability": 0.9560546875}, {"start": 2532.9, "end": 2533.92, "word": " يعني", "probability": 0.887451171875}, {"start": 2533.92, "end": 2534.08, "word": " ال", "probability": 0.7568359375}, {"start": 2534.08, "end": 2534.44, "word": " M", "probability": 0.8818359375}, {"start": 2534.44, "end": 2537.02, "word": " هتساوي", "probability": 0.94345703125}, {"start": 2537.02, "end": 2538.46, "word": " اللي", "probability": 0.65380859375}, {"start": 2538.46, "end": 2538.62, "word": " هو", "probability": 0.96923828125}, {"start": 2538.62, "end": 2539.04, "word": " تلاتة", "probability": 0.98193359375}, {"start": 2539.04, 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{"id": 83, "seek": 256387, "start": 2555.83, "end": 2563.87, "text": "تقسيم 0.2 تطلع 116.1 كيلو جرام", "tokens": [2655, 4587, 3794, 32640, 1958, 13, 17, 6055, 9566, 1211, 3615, 2975, 21, 13, 16, 9122, 26895, 2407, 10874, 2288, 10943], "avg_logprob": -0.2585227367552844, "compression_ratio": 0.8392857142857143, "no_speech_prob": 0.0, "words": [{"start": 2555.83, "end": 2557.23, "word": "تقسيم", "probability": 0.834716796875}, {"start": 2557.23, "end": 2558.63, "word": " 0", "probability": 0.2259521484375}, {"start": 2558.63, "end": 2559.35, "word": ".2", "probability": 0.992919921875}, {"start": 2559.35, "end": 2561.01, "word": " تطلع", "probability": 0.76422119140625}, {"start": 2561.01, "end": 2562.67, "word": " 116", "probability": 0.688720703125}, {"start": 2562.67, "end": 2563.37, "word": ".1", "probability": 0.9736328125}, {"start": 2563.37, "end": 2563.71, "word": " كيلو", "probability": 0.759765625}, {"start": 2563.71, "end": 2563.87, "word": " جرام", "probability": 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0.7105712890625}, {"start": 2593.97, "end": 2594.47, "word": " M2", "probability": 0.82958984375}, {"start": 2594.47, "end": 2595.11, "word": " M3", "probability": 0.98779296875}, {"start": 2595.11, "end": 2595.49, "word": " مافيش", "probability": 0.5203857421875}, {"start": 2595.49, "end": 2595.73, "word": " اي", "probability": 0.8828125}, {"start": 2595.73, "end": 2596.47, "word": " اهتزازات", "probability": 0.9347330729166666}, {"start": 2596.47, "end": 2596.65, "word": " ولا", "probability": 0.91796875}, {"start": 2596.65, "end": 2597.59, "word": " اي", "probability": 0.850830078125}, {"start": 2597.59, "end": 2601.23, "word": " قوة", "probability": 0.88232421875}, {"start": 2601.23, "end": 2601.83, "word": " محورية", "probability": 0.9912109375}, {"start": 2601.83, "end": 2602.07, "word": " على", "probability": 0.783203125}, {"start": 2602.07, "end": 2602.79, "word": " الشافتة", "probability": 0.55487060546875}, {"start": 2602.79, "end": 2602.87, "word": " ال", "probability": 0.6748046875}, {"start": 2602.87, "end": 2603.17, "word": " rotating", "probability": 0.6552734375}, {"start": 2603.17, "end": 2603.75, "word": " shaft", "probability": 0.939453125}], "temperature": 1.0}, {"id": 85, "seek": 261334, "start": 2606.02, "end": 2613.34, "text": "هيك نكون هنا المحاضرة الأولى من هذا ال chapter المحاضرة الجاية بنكمل ال chapter ان شاء الله", "tokens": [3224, 1829, 4117, 8717, 30544, 34105, 9673, 5016, 46958, 25720, 16247, 12610, 7578, 9154, 23758, 2423, 7187, 9673, 5016, 46958, 25720, 25724, 995, 10632, 44945, 24793, 1211, 2423, 7187, 16472, 13412, 16606, 21984], "avg_logprob": -0.14705882791210623, "compression_ratio": 1.4901960784313726, "no_speech_prob": 0.0, "words": [{"start": 2606.02, "end": 2606.32, "word": "هيك", "probability": 0.6959635416666666}, {"start": 2606.32, "end": 2606.64, "word": " نكون", "probability": 0.906005859375}, {"start": 2606.64, "end": 2607.04, "word": " هنا", "probability": 0.397705078125}, {"start": 2607.04, "end": 2608.1, "word": 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oZvqG8OK4_w_raw.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oZvqG8OK4_w_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..450900543ff2648714f128208a8f4d523078d177
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/oZvqG8OK4_w_raw.srt
@@ -0,0 +1,1268 @@
+1
+00:00:05,570 --> 00:00:08,770
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,770 --> 00:00:12,750
+وبركاته اليوم هنبدأ موضوع جديد في مادة نظرية
+
+3
+00:00:12,750 --> 00:00:17,790
+الألات الموضوع هكون balancing of rotating masses
+
+4
+00:00:17,790 --> 00:00:24,390
+توزين الكتل الدورة طبعا إذا عندك كتل .. كتلة بتدور
+
+5
+00:00:24,390 --> 00:00:27,290
+يعني لو عندك كتلة
+
+6
+00:00:36,670 --> 00:00:41,210
+هذه كتلة و دورها وهذه مركز تقالها الان لو كانت
+
+7
+00:00:41,210 --> 00:00:47,050
+تدور بسرعة زاوية omega هيكون
+
+8
+00:00:47,050 --> 00:00:55,930
+لها normal acceleration م ايه normal او ايه normal
+
+9
+00:00:55,930 --> 00:01:04,550
+بتساوي normal acceleration اللي هي omega square في
+
+10
+00:01:04,550 --> 00:01:05,850
+R هذه ال R
+
+11
+00:01:11,550 --> 00:01:20,070
+و هتكون فيه قوة طرد مركزي centrifugal force Fc بس
+
+12
+00:01:20,070 --> 00:01:29,550
+هو M في A normal يعني هتكون M Omega Square R هذا
+
+13
+00:01:29,550 --> 00:01:35,370
+قوة طرد المركزي لبرا الآن قوة الطرد المركزي لبرا
+
+14
+00:01:36,690 --> 00:01:39,530
+هتكون عاملة force على ال .. على ال .. على ال hinge
+
+15
+00:01:39,530 --> 00:01:45,370
+هنا او على ال shaft في force او الدفع الآن
+
+16
+00:01:45,370 --> 00:01:50,950
+مع الدوران وجود force بشكل هذا هتعمل noise وضجيج
+
+17
+00:01:50,950 --> 00:01:53,790
+عالي و stresses عالي على ال .. على ال .. على ال
+
+18
+00:01:53,790 --> 00:02:00,330
+shaft هنا او ال pin وبالتالي احد الطرق انه احط
+
+19
+00:02:00,330 --> 00:02:02,910
+كتلة معاكسة
+
+20
+00:02:09,260 --> 00:02:18,660
+تبعد مثلا R1 كتلتها M1 بحيث تعمل centrifugal force
+
+21
+00:02:18,660 --> 00:02:23,280
+مساوية في المقدار للcentrifugal force الأصلية
+
+22
+00:02:23,280 --> 00:02:31,140
+ومضادلها في الاتجاه بحيث تكون تساوية M1 Omega
+
+23
+00:02:31,140 --> 00:02:33,860
+Square R1
+
+24
+00:02:35,200 --> 00:02:38,320
+طبعا اميجا سكوير اما اميجا سكوير ستتغلق يعني هتكون
+
+25
+00:02:38,320 --> 00:02:44,220
+M في R اذا
+
+26
+00:02:44,220 --> 00:02:50,500
+اضفت كتلة على الطرف الآخر ال net force عند ال axis
+
+27
+00:02:50,500 --> 00:02:56,080
+of rotation هتكون Zero هتكون Zero و بتاع انا بقلل
+
+28
+00:02:56,080 --> 00:03:01,400
+ال noise و بوزن الكتلة هذا
+
+29
+00:03:01,400 --> 00:03:06,710
+الكلام ينطق في حالة single massيعني عندي هاي الجسم
+
+30
+00:03:06,710 --> 00:03:11,070
+الأصلي وزنتها ب mass واحدة بتدور في نفس المستوى
+
+31
+00:03:11,070 --> 00:03:17,190
+بتدور في نفس مستوى الواقع فيه الكتلة الأولى في
+
+32
+00:03:17,190 --> 00:03:20,830
+الحالة هذه for this mass to be balanced هتكون mr
+
+33
+00:03:20,830 --> 00:03:28,630
+بسوء m واحد r واحد لإني
+
+34
+00:03:28,630 --> 00:03:30,070
+عندي حالات أخرى
+
+35
+00:03:38,330 --> 00:03:45,050
+Balancing of a Single Rotating Mass By
+
+36
+00:03:45,050 --> 00:03:52,010
+Two Masses بدوازينها باستخدام كتلة اتنين كتلة M
+
+37
+00:03:52,010 --> 00:04:00,190
+واحد وكتلة M اتنين لكن ال M واحد هذا بالظبط الشكل
+
+38
+00:04:00,190 --> 00:04:07,150
+هذا ال M واحدو وقع في مستوى مختلف عن مستوى M و M2
+
+39
+00:04:07,150 --> 00:04:12,170
+وقع في مستوى M مختلف عن مستوى M
+
+40
+00:04:22,090 --> 00:04:26,650
+م2 ألاحظ أن الـ M1 أنا موزن حظ M .. الحالة هذه حظ
+
+41
+00:04:26,650 --> 00:04:31,690
+M1 على طرفي ال mass to be balanced يعني عندي M1
+
+42
+00:04:31,690 --> 00:04:35,490
+على الشمال و M2 على اليمين و هذه بتدور بالشكل هذا
+
+43
+00:04:35,490 --> 00:04:44,410
+الآن بعد المستوى م .. مستوى ال M1 عن مستوى ال M1 و
+
+44
+00:04:44,410 --> 00:04:58,200
+بعد مستوى ال M2 هذه الكتلة M هذه M .. Mم2 هد م1 هد
+
+45
+00:04:58,200 --> 00:05:15,440
+المستوى A هد المستوى L هد المستوى M طبعا
+
+46
+00:05:15,440 --> 00:05:20,320
+من ال end view ال mass M ال radius بتاعها R
+
+47
+00:05:24,860 --> 00:05:30,420
+هذا R والماس
+
+48
+00:05:30,420 --> 00:05:38,820
+M1 هذه M1 هذه
+
+49
+00:05:38,820 --> 00:05:43,140
+M2 الريدستة
+
+50
+00:05:43,140 --> 00:05:50,760
+M1 R1 وريدستة M2 R2
+
+51
+00:05:54,160 --> 00:05:58,680
+لازم اكون عندى ال two conditions شرطين لان انا
+
+52
+00:05:58,680 --> 00:06:02,140
+عندى الكتلتين لوزن الكتلة الاصلية جايين فى مستويات
+
+53
+00:06:02,140 --> 00:06:05,340
+مختلفة لازم اكون عندى شرطين عشان يصير عملية
+
+54
+00:06:05,340 --> 00:06:12,960
+التوزين اول شئ قوة الطرد المركزى هى عندى fc
+
+55
+00:06:12,960 --> 00:06:16,540
+هندى
+
+56
+00:06:16,540 --> 00:06:17,720
+هى fc1
+
+57
+00:06:23,130 --> 00:06:27,770
+و FC2 قوة
+
+58
+00:06:27,770 --> 00:06:36,170
+الطرد المركزة لازم تكون ال FC بتستوى
+
+59
+00:06:36,170 --> 00:06:47,790
+ال FC1 زاد ال FC2 ال FC هتكون M Omega
+
+60
+00:06:47,790 --> 00:07:00,620
+Square R ال FC1 M1 Omega Square R1 Fc2 M2 Omega
+
+61
+00:07:00,620 --> 00:07:06,320
+Square R2 لو اختصرت Omega Square عن الطرفين هسيدي
+
+62
+00:07:06,320 --> 00:07:18,460
+M R بسوء M1 R1 زاد M2 R2 هذا الشرط الأول
+
+63
+00:07:28,690 --> 00:07:35,570
+فانا عندي هنا fc2
+
+64
+00:07:35,570 --> 00:07:42,390
+من المستوى ده و fc1
+
+65
+00:07:42,390 --> 00:07:46,730
+و انا عندي هنا fc
+
+66
+00:08:03,210 --> 00:08:07,490
+طيب لأن عشان .. يعني .. يعني هى اللى كان summation
+
+67
+00:08:07,490 --> 00:08:09,770
+of forces بيساوة zero لأن summation of moment
+
+68
+00:08:09,770 --> 00:08:16,910
+حوالين المستوى A .. summation of moment حوالين
+
+69
+00:08:16,910 --> 00:08:21,150
+المستوى A لازم يكون السواء برضه سفر يعني هى كون
+
+70
+00:08:21,150 --> 00:08:30,610
+اللى أخد counter clockwise موجب هكون دي F C 1
+
+71
+00:08:33,450 --> 00:08:38,470
+فى الواحد طبعا ال FC بتعمل ايش لانه واقع فى
+
+72
+00:08:38,470 --> 00:08:46,530
+المستوى مافيش دراع ماقص FC2 الاتنين
+
+73
+00:08:46,530 --> 00:08:59,310
+معناته FC1 الواحد حدث تسوى FC2 الاتنين يعنى ال FC
+
+74
+00:08:59,310 --> 00:09:06,260
+واحد اللى هي بقى عن M واحد omega squareR1 الواحد
+
+75
+00:09:06,260 --> 00:09:15,500
+بالثورة M2 Omega Square R2 L2 لو اختصرنا Omega
+
+76
+00:09:15,500 --> 00:09:22,580
+Square من الطرفين حسينا اندي M1 R1 الواحد بالثورة
+
+77
+00:09:22,580 --> 00:09:28,020
+M2 R2 L2 هذا هو الشرط التاني
+
+78
+00:09:32,550 --> 00:09:37,770
+معناته for this mass M to be balanced by two
+
+79
+00:09:37,770 --> 00:09:46,290
+masses M1 and M2 on the two sides of M لازم يكون
+
+80
+00:09:46,290 --> 00:09:46,690
+عندى
+
+81
+00:10:03,950 --> 00:10:11,050
+الحالة التانية ممكن حالة تانية
+
+82
+00:10:21,220 --> 00:10:23,560
+ممكن يكون ال two masses هاي ال mass to be balanced
+
+83
+00:10:23,560 --> 00:10:32,540
+هذا ال this mass to be balanced و
+
+84
+00:10:32,540 --> 00:10:40,660
+أقع في المستوى ايه
+
+85
+00:10:40,660 --> 00:10:45,460
+it has to be balanced by two masses جايين عديها
+
+86
+00:10:45,460 --> 00:10:50,440
+واحدة من المسام يعني اندي m واحد اندي m واحد
+
+87
+00:10:53,420 --> 00:11:01,880
+واقع في المستوى L هاي
+
+88
+00:11:01,880 --> 00:11:14,980
+M واحد وفي ماس M اتنين واقع
+
+89
+00:11:14,980 --> 00:11:18,560
+في المستوى M
+
+90
+00:11:22,000 --> 00:11:29,660
+والمسافات هدي هدي من المستوى A هدي L1 و هدي بمستوى
+
+91
+00:11:29,660 --> 00:11:33,240
+B L2
+
+92
+00:11:33,240 --> 00:11:43,640
+و هدي بينهم هتكون L من
+
+93
+00:11:43,640 --> 00:11:46,980
+ال end view هتكون ال mass M
+
+94
+00:11:57,000 --> 00:12:04,100
+واقع على بعد R والماس
+
+95
+00:12:04,100 --> 00:12:15,000
+M1 واقع
+
+96
+00:12:15,000 --> 00:12:19,200
+على بعد R1
+
+97
+00:12:25,670 --> 00:12:32,910
+والماس M2 واقع
+
+98
+00:12:32,910 --> 00:12:40,770
+على Radius R2 طبعا
+
+99
+00:12:40,770 --> 00:12:45,450
+هيكون فيه centrifugal force للماس فهي عندهين Fc
+
+100
+00:12:45,450 --> 00:12:52,490
+للماس اللي دعونا توزين وفيه عندهين Fc2
+
+101
+00:12:52,490 --> 00:12:54,030
+وعندهين
+
+102
+00:12:58,470 --> 00:13:05,990
+FC1 و هين هكون هين
+
+103
+00:13:05,990 --> 00:13:09,970
+عندي FC و
+
+104
+00:13:09,970 --> 00:13:16,970
+هين عندي FC1 و
+
+105
+00:13:16,970 --> 00:13:20,450
+FC2
+
+106
+00:13:28,800 --> 00:13:34,860
+برضه عندي conditions هتتحقق عشان اوزد المثلب يعني
+
+107
+00:13:34,860 --> 00:13:42,340
+احكي مصممشن of forces بالساوة zero هكون الساوية
+
+108
+00:13:42,340 --> 00:13:49,240
+عندي Fc زاد
+
+109
+00:13:49,240 --> 00:13:56,460
+Fc2 Fc1 اكسه minus Fc1
+
+110
+00:13:58,100 --> 00:14:05,340
+يعني انا هاكون لدي fc واحد بالساوية fc زائد fc
+
+111
+00:14:05,340 --> 00:14:11,740
+اتنين اللي هي fc واحدة هي M Omega M واحد Omega
+
+112
+00:14:11,740 --> 00:14:21,540
+Square R واحد بالساوية M Omega Square R زائد M Two
+
+113
+00:14:21,540 --> 00:14:24,840
+Omega Square R اتنين
+
+114
+00:14:27,590 --> 00:14:35,270
+لو قسمنا على omega square هساندي M1R1 بسوة M في R
+
+115
+00:14:35,270 --> 00:14:46,350
+زاد M2 في R2 ال
+
+116
+00:14:46,350 --> 00:14:48,270
+condition التاني هبدي أخد summation of moment
+
+117
+00:14:48,270 --> 00:14:49,330
+حوالين A بالساوة 0
+
+118
+00:15:01,510 --> 00:15:03,910
+طبعا ال Fc ما بتعملش مموط لأنا أخد مموط عندي هى
+
+119
+00:15:03,910 --> 00:15:09,950
+هيكون عندي minus Fc
+
+120
+00:15:09,950 --> 00:15:17,150
+1 الواحد زاد
+
+121
+00:15:17,150 --> 00:15:22,210
+Fc
+
+122
+00:15:22,210 --> 00:15:28,730
+2 الاتنين المعنى هتطلع على نفسي لإيش عندي Fc 1
+
+123
+00:15:28,730 --> 00:15:41,250
+الواحدبالساوية Fc2 L2 Fc1 هي M1 Omega Square R1 L1
+
+124
+00:15:41,250 --> 00:15:50,370
+بالساوية M2 Omega Square R2 L2 لو اختصرت Omega
+
+125
+00:15:50,370 --> 00:16:01,700
+Square من الطرفين حسف عندي M1R1 L1 M2 R2 L2 هذا ال
+
+126
+00:16:01,700 --> 00:16:02,620
+second condition
+
+127
+00:16:33,730 --> 00:16:38,050
+هنشوف كيف نوزن balancing of several masses
+
+128
+00:16:38,050 --> 00:16:55,350
+rotating in the same plane هندهين كتلة M1 و
+
+129
+00:16:55,350 --> 00:16:56,150
+M2
+
+130
+00:17:04,340 --> 00:17:13,280
+وعندي M3 وعندي
+
+131
+00:17:13,280 --> 00:17:25,340
+اربعة كتال و M4 M1
+
+132
+00:17:25,340 --> 00:17:32,420
+ال radius بتاعها R1
+
+133
+00:17:33,540 --> 00:17:38,880
+و ال M2 ال ريجيز بتاعها R2
+
+134
+00:17:38,880 --> 00:17:48,520
+و ال M3 ال ريجيز بتاعها R3 و ال M4 ال ريجيز بتاعها
+
+135
+00:17:48,520 --> 00:17:52,740
+R4
+
+136
+00:17:52,740 --> 00:17:57,740
+هذه
+
+137
+00:17:57,740 --> 00:18:02,650
+أربع كتل بتدور وقعين في نفس المستوىواقعين في نفس
+
+138
+00:18:02,650 --> 00:18:07,450
+الوستوى و بيدوروا كلهم بسرعة زاوية omega معناته
+
+139
+00:18:07,450 --> 00:18:12,810
+هكذا centrifugal force fc1 فعندي هنا fc1 due to
+
+140
+00:18:12,810 --> 00:18:18,370
+mass 1 فعندي هنا fc2
+
+141
+00:18:18,370 --> 00:18:27,610
+due to m2 فعندي fc3 وعندي fc4 centrifugal force
+
+142
+00:18:27,610 --> 00:18:30,350
+due to mass 4
+
+143
+00:18:37,930 --> 00:18:44,510
+اللي انا لو أخدت ال polygon ال vector polygon تاع
+
+144
+00:18:44,510 --> 00:18:48,450
+ال forces fc1, fc2, fc3 هكون عندي هى حرص حبد من
+
+145
+00:18:48,450 --> 00:18:52,950
+النقطة .. من النقطة هذه هكون عندي هنا هيا عندي fc1
+
+146
+00:18:52,950 --> 00:18:57,290
+موازن
+
+147
+00:18:57,290 --> 00:19:01,270
+بعدين fc2 جاية عمودية هى fc2
+
+148
+00:19:17,990 --> 00:19:33,610
+Fc3 Fc4 Fc5
+
+149
+00:19:33,610 --> 00:19:33,670
+Fc6 Fc7 Fc8 Fc9 Fc10 Fc11 Fc12 Fc12 Fc13 Fc14 Fc15
+
+150
+00:19:33,670 --> 00:19:33,830
+Fc16 Fc16 Fc17 Fc18 Fc19 Fc20 Fc21 Fc21 Fc21 Fc21
+
+151
+00:19:33,830 --> 00:19:33,850
+Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21
+
+152
+00:19:33,850 --> 00:19:34,090
+Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21
+
+153
+00:19:34,090 --> 00:19:34,090
+Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21
+
+154
+00:19:34,090 --> 00:19:34,090
+Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21
+
+155
+00:19:34,090 --> 00:19:34,210
+Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21 Fc21
+
+156
+00:19:34,210 --> 00:19:39,090
+Fcto balance these forces هتكون عندي هنا أسكر
+
+157
+00:19:39,090 --> 00:19:45,850
+هتكون عندي هنا Fc Fc
+
+158
+00:19:45,850 --> 00:19:54,750
+فعلا هتكون عندي mass يعني موازلة هذه بدي
+
+159
+00:19:54,750 --> 00:20:02,890
+أسميها M to balance ال masses M1 و M2 و M3 و M4
+
+160
+00:20:02,890 --> 00:20:03,510
+تعمل
+
+161
+00:20:12,540 --> 00:20:18,660
+fc الان لاحظوا fc واحد تعمل هذه theta واحد زاوية
+
+162
+00:20:18,660 --> 00:20:22,100
+من
+
+163
+00:20:22,100 --> 00:20:31,300
+ال positive x axis هذا positive x axis وهذه theta
+
+164
+00:20:31,300 --> 00:20:33,840
+اتنين وهذه
+
+165
+00:20:36,240 --> 00:20:47,140
+ثيتا تلاتة وهذا الثيتا أربعة
+
+166
+00:20:47,140 --> 00:20:53,020
+وهذا الزاوية الثيتا بتاعة ال balancing mass ثيتا
+
+167
+00:20:53,020 --> 00:20:57,980
+يعني
+
+168
+00:20:57,980 --> 00:21:04,340
+عشان أحسب ال mass هحكي summation of forces بالساوة
+
+169
+00:21:04,340 --> 00:21:14,680
+zeroحكي معناته F ك vector F C 1 زائد F C 2 زائد F
+
+170
+00:21:14,680 --> 00:21:24,620
+C 3 زائد F C 4 زائد F C طبعا هذا في ال plane
+
+171
+00:21:24,620 --> 00:21:29,540
+هتعطيني ال two equations two equations يعني ممكن
+
+172
+00:21:29,540 --> 00:21:43,890
+نحكي عن F C 1 F C 1كمتها هتكون fc1 كمتها m 1 omega
+
+173
+00:21:43,890 --> 00:21:57,590
+square r 1 في cosine theta في اتجاه ال I زائد sine
+
+174
+00:21:57,590 --> 00:22:08,400
+theta في theta 1باتجاه الجهة و نفس الشي ف C2 هتكون
+
+175
+00:22:08,400 --> 00:22:18,180
+M2 Omega Square R2 في Cos θ2 باتجاه ال I زائد Sin
+
+176
+00:22:18,180 --> 00:22:30,920
+θ2 باتجاه الجهة و F C3 هتكون M3 Omega Square R3فى
+
+177
+00:22:30,920 --> 00:22:37,880
+cosine θ تلاتة بالاتجاه ال I زاد sin θ تلاتة
+
+178
+00:22:37,880 --> 00:22:49,100
+بالاتجاه ال J و F C 4 هتسوى M 4 Omega Square R 4
+
+179
+00:22:49,100 --> 00:22:57,960
+فى cosine θ 4 بالاتجاه ال I زاد sin θ 4 بالاتجاه
+
+180
+00:22:57,960 --> 00:22:58,360
+ال J
+
+181
+00:23:02,650 --> 00:23:12,650
+طيب و ال FC هتكون ال mass بتاعتها في omega square
+
+182
+00:23:12,650 --> 00:23:21,710
+في ال R في cosine theta باتجاه ال I زاد sin theta
+
+183
+00:23:21,710 --> 00:23:31,130
+باتجاه ال J طيب بتطلع عندى two equations
+
+184
+00:23:37,250 --> 00:23:40,810
+Solve Two Equations
+
+185
+00:23:48,590 --> 00:23:54,470
+اللي هي summation لل Fx بالساوية 0 و summation لل
+
+186
+00:23:54,470 --> 00:24:05,430
+Fy بالساوية 0 for M and θ or for M and R or for θ
+
+187
+00:24:05,430 --> 00:24:13,710
+and R هيك بنكون وزلنا مجموعين كتل M1 M2 M3 M4
+
+188
+00:24:13,710 --> 00:24:17,350
+بدوروا في نفس المستوى بكتلة واحدة تدور في نفس
+
+189
+00:24:17,350 --> 00:24:43,290
+المستوىنشوف مثال طيب
+
+190
+00:24:43,290 --> 00:24:44,050
+نشوف مثال
+
+191
+00:25:07,730 --> 00:25:12,450
+في عندي أربع كتل كتلة
+
+192
+00:25:12,450 --> 00:25:19,530
+M1 كتلة 200 كيلو جرام M2 300 كيلو جرام و M3 240
+
+193
+00:25:19,530 --> 00:25:26,590
+كيلو جرام و M4 260 كيلو جرام ال
+
+194
+00:25:26,590 --> 00:25:29,550
+M جاية على ال X Axis
+
+195
+00:25:41,140 --> 00:25:45,400
+يعني خلينا نحكي ال
+
+196
+00:25:45,400 --> 00:25:51,420
+number نحكي
+
+197
+00:25:51,420 --> 00:25:56,040
+واحد هنا ال mass واحد
+
+198
+00:25:56,040 --> 00:26:03,520
+اتنين تلاتة اربعة الكتلة
+
+199
+00:26:03,520 --> 00:26:06,900
+الأولى وزنها م واحد متين كيلو جرام
+
+200
+00:26:10,200 --> 00:26:17,440
+الكتلة التانية تلاتمية كيلو جرام الكتلة التالتة
+
+201
+00:26:17,440 --> 00:26:25,800
+متين واربعين كيلو جرام والكتلة الرابعة متين وستين
+
+202
+00:26:25,800 --> 00:26:38,240
+كيلو جرام يعني واحدة كيلو جرام طيب كل
+
+203
+00:26:38,240 --> 00:26:39,000
+كتلة إلها radius
+
+204
+00:26:44,690 --> 00:26:54,330
+عندي ال R الكتلة بال .. بالمتر وحدة المتر ال mass
+
+205
+00:26:54,330 --> 00:27:03,210
+M واحد ال radius بتاعها point اتنين متر ال M اتنين
+
+206
+00:27:03,210 --> 00:27:10,550
+point واحد خمسة ال
+
+207
+00:27:10,550 --> 00:27:14,070
+M تلاتة point اتنين خمسة
+
+208
+00:27:18,050 --> 00:27:28,130
+الـ M4 بونت تلاتة نشوف
+
+209
+00:27:28,130 --> 00:27:38,030
+الـ theta بال degrees ال
+
+210
+00:27:38,030 --> 00:27:43,390
+mass الأولى ال theta بتاعتها صفر اللي هي M1 صفر ال
+
+211
+00:27:43,390 --> 00:27:56,730
+mass التانيةخمسة و أربعين خمسة و أربعين درجة الماس
+
+212
+00:27:56,730 --> 00:28:00,370
+الماس
+
+213
+00:28:00,370 --> 00:28:07,650
+الأولى خمسة و أربعين الماس التانية مية و عشرين
+
+214
+00:28:07,650 --> 00:28:17,230
+درجة الماس
+
+215
+00:28:17,230 --> 00:28:18,010
+الرابعة
+
+216
+00:28:21,890 --> 00:28:27,930
+الماس الرابع مائتين و خمسة و خمسين درجة مائتين و
+
+217
+00:28:27,930 --> 00:28:34,390
+خمسة و خمسين درجة مائتين
+
+218
+00:28:34,390 --> 00:28:35,850
+و خمسة و خمسين درجة مائتين و خمسة و خمسين درجة
+
+219
+00:28:35,850 --> 00:28:39,130
+مائتين و خمسة و خمسين درجة مائتين و خمسة و خمسين
+
+220
+00:28:39,130 --> 00:28:39,450
+درجة مائتين و خمسة و خمسين درجة مائتين و خمسة و
+
+221
+00:28:39,450 --> 00:28:39,450
+خمسين درجة مائتين و خمسة و خمسين درجة مائتين و
+
+222
+00:28:39,450 --> 00:28:39,890
+خمسة و خمسين درجة مائتين و خمسة و خمسين درجة
+
+223
+00:28:39,890 --> 00:28:43,230
+مائتين
+
+224
+00:28:43,230 --> 00:28:50,870
+و خمسة و خمسين درجة مائتين و خمسة و خمسة و
+
+225
+00:28:53,150 --> 00:28:58,410
+كل الماس M على
+
+226
+00:28:58,410 --> 00:29:06,750
+بعد 2 من 10 متر يعني هعمل balance الكتلة
+
+227
+00:29:06,750 --> 00:29:11,490
+تاعتها مش معروفة M ال
+
+228
+00:29:11,490 --> 00:29:17,310
+radius تاعتها point 2 والزاوية
+
+229
+00:29:17,310 --> 00:29:19,010
+تاعتها مجهولة theta
+
+230
+00:29:26,220 --> 00:29:39,920
+بذاتها مجهولة ثالثا بدي
+
+231
+00:29:39,920 --> 00:29:48,860
+احسب ال Fc لكل كتلة لكل omega square يعني Fc على
+
+232
+00:29:48,860 --> 00:29:57,220
+omega square ال Fc هتكون اعساس في ال Fcيعني هذه
+
+233
+00:29:57,220 --> 00:30:10,740
+هتكون تساوية M في R هتكون
+
+234
+00:30:10,740 --> 00:30:15,440
+دهين متين في اتنين من عشرة اربعين
+
+235
+00:30:22,210 --> 00:30:31,410
+تلاتمية في point واحد خمسة خمسة واربعين متين
+
+236
+00:30:31,410 --> 00:30:39,130
+واربعين في ربع ستين متين
+
+237
+00:30:39,130 --> 00:30:49,330
+وستين في تلاتة من عشرة يعني تمانية وسبعين وهذه
+
+238
+00:30:49,330 --> 00:30:50,750
+هتكون اتنين من عشرة
+
+239
+00:30:56,990 --> 00:31:13,250
+ام اتنين من عشرة ام
+
+240
+00:31:13,250 --> 00:31:20,430
+بتحسب
+
+241
+00:31:20,430 --> 00:31:30,750
+ال Fcx على omega square و ال fcy على omega square
+
+242
+00:31:30,750 --> 00:31:38,590
+يعني هذي بتساوي يعني هتكون ال fc على
+
+243
+00:31:38,590 --> 00:31:46,710
+omega square اتجاه ال x هتكون fc على omega square
+
+244
+00:31:46,710 --> 00:31:56,700
+في cosine thetaو ال Fcy على omega square بتساوي Fc
+
+245
+00:31:56,700 --> 00:32:04,720
+على omega square sin θ يعني
+
+246
+00:32:04,720 --> 00:32:09,680
+الأولى هتكون cosine السفر أكم؟ cosine السفر واحد
+
+247
+00:32:09,680 --> 00:32:14,080
+يعني هذا هتكون أربعين cosine
+
+248
+00:32:14,080 --> 00:32:16,800
+السفر سفر
+
+249
+00:32:21,060 --> 00:32:25,460
+التانية هتكون cos 45
+
+250
+00:32:57,830 --> 00:33:09,110
+الثانية هتكون اللي هو قسطين الخمس واربعين في
+
+251
+00:33:24,040 --> 00:33:45,900
+خمسة وأربعين تطلع
+
+252
+00:33:45,900 --> 00:33:49,940
+واحد تلاتين point تمانية اتنين واحد تلاتين
+
+253
+00:33:54,260 --> 00:33:58,800
+point تمانية اتنين point تمانية اتنين point تمانية
+
+254
+00:33:58,800 --> 00:34:01,900
+اتنين point تمانية اتنين point تمانية اتنين point
+
+255
+00:34:01,900 --> 00:34:03,360
+تمانية اتنين point تمانية اتنين point تمانية اتنين
+
+256
+00:34:03,360 --> 00:34:05,160
+point تمانية اتنين point تمانية اتنين point تمانية
+
+257
+00:34:05,160 --> 00:34:05,320
+اتنين point تمانية اتنين point تمانية اتنين point
+
+258
+00:34:05,320 --> 00:34:08,340
+تمانية اتنين point تمانية اتنين point تمانية اتنين
+
+259
+00:34:08,340 --> 00:34:10,560
+point تمانية اتنين point تمانية اتنين point تمانية
+
+260
+00:34:10,560 --> 00:34:10,560
+اتنين point تمانية اتنين point تمانية اتنين point
+
+261
+00:34:10,560 --> 00:34:10,560
+تمانية اتنين point تمانية اتنين point تمانية اتنين
+
+262
+00:34:10,560 --> 00:34:15,080
+point تمانية اتنين point تمانية اتنين point تمانية
+
+263
+00:34:15,080 --> 00:34:22,060
+اتنين point تمانية
+
+264
+00:34:22,060 --> 00:34:22,080
+اتنين
+
+265
+00:34:34,310 --> 00:34:43,170
+تطلع واحد و خمسين بون تسعة ستة واحد و خمسين بون
+
+266
+00:34:43,170 --> 00:34:50,650
+تسعة ستة الرابع الرابع
+
+267
+00:34:50,650 --> 00:34:55,810
+هتكون كسين الاتنين و خمسة خمسين
+
+268
+00:35:11,870 --> 00:35:18,470
+هتكون ماقص عشرين point واحد تسعة ماقص عشرين point
+
+269
+00:35:18,470 --> 00:35:39,210
+واحد تسعة وماقص
+
+270
+00:35:39,210 --> 00:35:40,670
+خمس سبعين point تلت أربعة
+
+271
+00:35:54,080 --> 00:36:05,560
+أو ممكن أسميها هنا Fc Fc X و Fc Y احكي
+
+272
+00:36:05,560 --> 00:36:10,620
+summation لل forces باتجاه ال X بتكون تساوي سفر
+
+273
+00:36:10,620 --> 00:36:17,460
+يعني انا هتكون عندي اربعين زاد واحد تلاتين point
+
+274
+00:36:17,460 --> 00:36:27,910
+تمانية اتنين ماقص تلاتيننقص عشرين بون تسعتاش زاد F
+
+275
+00:36:27,910 --> 00:36:37,190
+C X معناته F C X هتساوي ان
+
+276
+00:36:37,190 --> 00:36:37,870
+اربعين
+
+277
+00:36:58,050 --> 00:37:04,550
+هتطلع ناقص واحد و عشرين point
+
+278
+00:37:04,550 --> 00:37:16,130
+ستة تلاتة هذا fcx fcy summation للfy بالساوة سفر
+
+279
+00:37:16,130 --> 00:37:23,850
+هكون عندي سفر زاد واحد و تلاتين point تمانية اتنين
+
+280
+00:37:25,670 --> 00:37:34,070
+زاد واحد و خمسين point تسعة ستة ناقص
+
+281
+00:37:34,070 --> 00:37:45,090
+خمسة سبعين point تلاتة أربعة زاد fcy يعني fcy
+
+282
+00:37:45,090 --> 00:37:47,190
+هتطلع
+
+283
+00:38:10,540 --> 00:38:16,100
+بطلعت ناقص تمانية point
+
+284
+00:38:16,100 --> 00:38:18,760
+أربعة أربعة
+
+285
+00:38:38,370 --> 00:38:40,710
+يعني إيه اللي في ال X؟ إيه اللي مركبة Negative في
+
+286
+00:38:40,710 --> 00:38:51,370
+ال X Axis؟ هذه مركبة Negative
+
+287
+00:38:51,370 --> 00:38:59,350
+هي 21 و بال negative Y إيه اللي هيش؟ يعني خليني
+
+288
+00:38:59,350 --> 00:39:04,090
+أسمي هذه خليني
+
+289
+00:39:04,090 --> 00:39:14,650
+أسمي هذه Betaيعني ممكن احكي tan beta هتكون
+
+290
+00:39:14,650 --> 00:39:22,090
+الساعة واحد و عشرين point ست تلاتة على تمانية
+
+291
+00:39:22,090 --> 00:39:32,120
+بتساوي لأ العكس tan beta بتساوي8.4421
+
+292
+00:39:32,120 --> 00:39:40,180
+.638.4421
+
+293
+00:39:40,180 --> 00:39:41,240
+.63
+
+294
+00:40:24,980 --> 00:40:39,000
+كوصان انفرس طيب
+
+295
+00:40:39,000 --> 00:40:49,720
+الهم بنحسب بيتا بعدين ثتا هتكونهتكون ان هي مية و
+
+296
+00:40:49,720 --> 00:40:53,460
+تمانين زاد
+
+297
+00:40:53,460 --> 00:40:57,420
+Beta معناته
+
+298
+00:40:57,420 --> 00:41:00,500
+بدي
+
+299
+00:41:00,500 --> 00:41:08,100
+احسب ال total FC FC هتكون الجزر التربيعي ل FC X
+
+300
+00:41:08,100 --> 00:41:13,520
+تربيع زاد FC Y تربيع يعني هتكون سوى الجزر التربيعي
+
+301
+00:41:13,520 --> 00:41:14,720
+ل
+
+302
+00:41:16,540 --> 00:41:28,000
+21.63 تربيع زي 8.44 تربيع يعني هتكون قيمتها تقريبا
+
+303
+00:41:28,000 --> 00:41:34,420
+fc على omega square هتكون
+
+304
+00:41:34,420 --> 00:41:36,160
+جزر التربيع ل
+
+305
+00:41:59,200 --> 00:42:01,960
+تطلع تلاتة و عشرين point اتنين و عشرين تلاتة و
+
+306
+00:42:01,960 --> 00:42:05,680
+عشرين point
+
+307
+00:42:05,680 --> 00:42:17,020
+اتنين و عشرين هذه بتساوي M في R يعني ال M هتساوي
+
+308
+00:42:17,020 --> 00:42:23,860
+اللي هو تلاتة و عشرين point اتنين اتنين ال R
+
+309
+00:42:23,860 --> 00:42:25,120
+بتاعتها اللي هي point اتنين
+
+310
+00:42:35,830 --> 00:42:43,870
+تقسيم 0.2 تطلع 116.1 كيلو جرام
+
+311
+00:42:55,010 --> 00:43:05,350
+لنحكي 116.092
+
+312
+00:43:05,350 --> 00:43:10,630
+كيلو جرام ايه
+
+313
+00:43:10,630 --> 00:43:15,490
+كان يكون الماس هذه وزنت الأربع كتر M1 M2 M3 مافيش
+
+314
+00:43:15,490 --> 00:43:21,230
+اي اهتزازات ولا اي قوة
+
+315
+00:43:21,230 --> 00:43:27,040
+محورية على الشافتة ال rotating shaftهيك نكون هنا
+
+316
+00:43:27,040 --> 00:43:30,960
+المحاضرة الأولى من هذا ال chapter المحاضرة الجاية
+
+317
+00:43:30,960 --> 00:43:33,340
+بنكمل ال chapter ان شاء الله
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/seh-GJGlwHc.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/seh-GJGlwHc.srt
new file mode 100644
index 0000000000000000000000000000000000000000..ce8cd945b9e02222e04f8994ed0dc52bbb8b971e
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/seh-GJGlwHc.srt
@@ -0,0 +1,3277 @@
+1
+00:00:05,030 --> 00:00:07,950
+السلام عليكم ورحمة الله وبركاته بسم الله الرحمن
+
+2
+00:00:07,950 --> 00:00:12,310
+الرحيم اليوم هنبدأ Chapter جديد في مادة نظرية الآلات
+
+3
+00:00:12,310 --> 00:00:16,490
+theoretical machines موضوع الـ Chapter هتكون إيجاد أو
+
+4
+00:00:16,490 --> 00:00:21,290
+حساب الصراعات للآليات باستخدام الـ instant center
+
+5
+00:00:21,290 --> 00:00:26,730
+method طبعاً
+
+6
+00:00:26,730 --> 00:00:32,730
+إحنا في Chapter سابق أو في الـ Dynamics درسنا حساب
+
+7
+00:00:32,730 --> 00:00:38,630
+الصراعات باستخدام الـ relative motion method وعملنا
+
+8
+00:00:38,630 --> 00:00:43,830
+مراجعة سريعة للـ relative motion method برضه في الـ
+
+9
+00:00:43,830 --> 00:00:47,870
+theoretical machines اليوم هنضيف بعض التفاصيل الإضافية
+
+10
+00:00:47,870 --> 00:00:51,890
+في طريقة الـ instant center method طبعاً إذا أنا
+
+11
+00:00:51,890 --> 00:00:56,310
+عندي أي جسم بيتحرك general plane motion حركة عامة
+
+12
+00:00:57,440 --> 00:01:03,520
+يعني إذا الجسم عندي كان .. هذا الجسم كان هنا وصار
+
+13
+00:01:03,520 --> 00:01:09,340
+..صار في الموقع هذا الآن
+
+14
+00:01:09,340 --> 00:01:15,080
+واضح أنه صار انتقال للجسم من هذا الـ position لهذا
+
+15
+00:01:15,080 --> 00:01:19,860
+الـ position وواضح أنه صار له rotation يعني هو مش
+
+16
+00:01:19,860 --> 00:01:26,250
+انتقل فقط، انتقل وصار له rotation أنا عملت
+
+17
+00:01:26,250 --> 00:01:34,470
+الانتقال ممكن أجزه لمراحل، هذه المحاور XY يعني
+
+18
+00:01:34,470 --> 00:01:43,870
+الجسم في البداية كان هنا، ممكن أحركه بالـ X مسافة
+
+19
+00:01:48,540 --> 00:01:58,320
+وبعدين في الـ Y كمان مسافة، فصار هنا، وبعدين
+
+20
+00:01:58,320 --> 00:02:08,080
+أعمل الـ rotation عشان
+
+21
+00:02:08,080 --> 00:02:14,880
+نصل إلى الوضع الجديد هذا، معناته أنا استطعت أن
+
+22
+00:02:14,880 --> 00:02:24,210
+الحركة أجزه، الحركة باتجاه الـ X، بعدين الـ Y، بعدين
+
+23
+00:02:24,210 --> 00:02:25,190
+الـ rotation يعني
+
+24
+00:02:30,030 --> 00:02:34,390
+بعدين rotation طبعاً على أرض الواقع ما بيصير الحركة
+
+25
+00:02:34,390 --> 00:02:38,290
+مجزأة، الحركة بتصير يعني بيكون يمشي في الـ X والـ Y
+
+26
+00:02:38,290 --> 00:02:42,950
+ويدور في نفس الوقت، يعني بيكون الحركة متواصلة من
+
+27
+00:02:42,950 --> 00:02:48,130
+الحركة في المحور يعني X وY زائد الدوران لحد ما يصل
+
+28
+00:02:48,130 --> 00:02:58,740
+الـ position النهائي، الآن عندي مبين هنا جسم AB انتقل
+
+29
+00:02:58,740 --> 00:03:04,840
+أو صار في الوضع الجديد a1b1 طبعاً أنا حكينا أن
+
+30
+00:03:04,840 --> 00:03:09,700
+الحركة بيكون أجزه لمرحلتين، المرحلة الأولى أن بنتقل
+
+31
+00:03:09,700 --> 00:03:15,680
+من هنا لهنا، أول مرحلة بيصير
+
+32
+00:03:15,680 --> 00:03:22,980
+الجسم هنا، بعدين بعمل الـ rotation عشان أوصل للوضع
+
+33
+00:03:22,980 --> 00:03:30,460
+النهائي، أو أو في الأول يعني مكان الجسم عندي هنا
+
+34
+00:03:30,460 --> 00:03:34,340
+بعمله
+
+35
+00:03:34,340 --> 00:03:41,480
+rotation عشان أصل للـ position هذا، بعدين بعمله الـ
+
+36
+00:03:41,480 --> 00:03:46,620
+translation عشان أصل للوضع النهائي
+
+37
+00:03:55,460 --> 00:04:00,060
+الآن الحركة المركبة المكونة من الـ rotation والـ
+
+38
+00:04:00,060 --> 00:04:09,060
+translation للـ link AB ممكن أعتبر لحظياً كأنها
+
+39
+00:04:09,060 --> 00:04:15,080
+حركة دورانية حول محور ما أو مركز ما، بسميه الـ
+
+40
+00:04:15,080 --> 00:04:17,060
+instant center of rotation معناته الـ combined
+
+41
+00:04:17,060 --> 00:04:22,100
+motion في عندي translation و rotation ممكن أعتبرها
+
+42
+00:04:22,100 --> 00:04:27,800
+as one rotation motion about instant center مركز
+
+43
+00:04:27,800 --> 00:04:33,440
+دوران لحظي بيتغير من لحظة للثانية، خليني أعطي بعض
+
+44
+00:04:33,440 --> 00:04:39,680
+المفاهيم، الآن الـ
+
+45
+00:04:39,680 --> 00:04:45,240
+instant center of a moving body مركز الدوران
+
+46
+00:04:45,240 --> 00:04:50,940
+اللحظي لجسم متحرك هو the center which keeps it
+
+47
+00:04:50,940 --> 00:04:53,820
+changing from one instant to another هو مركز
+
+48
+00:04:53,820 --> 00:04:58,980
+الدوران اللي موقعه بيتغير بين لحظة وأخرى، يعني الآن
+
+49
+00:04:58,980 --> 00:05:01,640
+موقعه مش ثابت، ما بيدورش مثلأ زي مروحة بتدور عندي
+
+50
+00:05:01,640 --> 00:05:07,060
+محورها ثابت، لأ، لأن في عندي rotation و translation
+
+51
+00:05:07,060 --> 00:05:14,220
+حيصير أن موقع مركز الدوران بيتغير من نقطة لنقطة
+
+52
+00:05:14,220 --> 00:05:17,400
+centroid
+
+53
+00:05:18,730 --> 00:05:23,050
+هو الـ locus of all instant centers الآن إذا أنا
+
+54
+00:05:23,050 --> 00:05:27,750
+تتبعت مواقع مراكز الدوران اللحظية اللي بتتغير من
+
+55
+00:05:27,750 --> 00:05:31,690
+لحظة للحظة وعملت ووصلت بينها curve بحصل على ما
+
+56
+00:05:31,690 --> 00:05:38,590
+يسمى الـ centroid، في عندي الـ instantaneous axis محور
+
+57
+00:05:38,590 --> 00:05:45,450
+الدوران اللحظي، محور الدوران اللحظي هو عمودي، هو خط
+
+58
+00:05:45,450 --> 00:05:52,490
+بيكون خط بيمر بمركز الدوران اللحظي وبيكون عمودي على
+
+59
+00:05:52,490 --> 00:05:57,090
+مستوى الحركة، معناته محور الدوران اللحظي هو خط بيمر
+
+60
+00:05:57,090 --> 00:06:02,090
+في مركز الدوران اللحظي وبيكون عمودي على مستوى
+
+61
+00:06:02,090 --> 00:06:04,870
+الحركة، إذا الجسم بيتحرك في هذا المستوى هيكون الـ axis
+
+62
+00:06:04,870 --> 00:06:06,230
+عمودي عليه
+
+63
+00:06:09,190 --> 00:06:12,970
+Axoid هو الـ locus of this axis لأن الـ axis كان
+
+64
+00:06:12,970 --> 00:06:15,930
+عندي، عند النقطة هذه، بعدين صار هنا، ثانية هنا،
+
+65
+00:06:15,930 --> 00:06:21,190
+بيتغير، هذا هيعمل لي surface، الـ lines تجميعها مع
+
+66
+00:06:21,190 --> 00:06:31,610
+بعض، بيعمل لي surface، بسميه الـ axoid، الآن
+
+67
+00:06:31,610 --> 00:06:36,630
+في مصطلحين جداد، في ما يسمى الـ space والـ body
+
+68
+00:06:36,630 --> 00:06:44,410
+centroids، الـ space والـ body centroids خليني
+
+69
+00:06:44,410 --> 00:06:51,990
+آخذ مثال بسيط، عندي مستوى أفقي
+
+70
+00:06:51,990 --> 00:06:58,650
+و
+
+71
+00:06:58,650 --> 00:07:02,230
+فيه دولاب، فيه دولاب
+
+72
+00:07:06,390 --> 00:07:13,730
+بيتدحرج على هذا المستوى، في اللحظة هذه هذا هو الـ
+
+73
+00:07:13,730 --> 00:07:19,990
+instant center، instant center، بعد شوية بيتدحرج، يصير
+
+74
+00:07:19,990 --> 00:07:20,690
+الدولاب هنا
+
+75
+00:07:23,980 --> 00:07:26,780
+برضه هذا هو الـ instant center الجديد، هذا مركز
+
+76
+00:07:26,780 --> 00:07:30,860
+دوران لحظي جديد، طبعاً عند الـ instant center بتكون
+
+77
+00:07:30,860 --> 00:07:35,640
+الـ common point أو السرعة .. السرعة .. سرعة النقطة
+
+78
+00:07:35,640 --> 00:07:38,600
+هذه الـ instant center بتكون سرعتها بتساوي zero
+
+79
+00:07:38,600 --> 00:07:45,040
+بعد لحظة زمنية، بعد فترة زمنية معينة حيصير الدولاب هنا
+
+80
+00:07:45,040 --> 00:07:49,580
+معناته بتتغير موقع الـ instant center
+
+81
+00:07:52,410 --> 00:08:12,850
+بعد شوية حيصير هنا، الآن
+
+82
+00:08:12,850 --> 00:08:19,280
+الـ if I trace تتبعت مراكز الدوران اللحظي هتكون نفس
+
+83
+00:08:19,280 --> 00:08:22,160
+المستوى اللي بيتدحرج عليه الدولاب، معناته هذا
+
+84
+00:08:22,160 --> 00:08:29,220
+المستوى اللي بيتدحرج عليه الدولاب هو هيكون كل الـ
+
+85
+00:08:29,220 --> 00:08:34,660
+instant centers واقع عليه، هذا
+
+86
+00:08:34,660 --> 00:08:41,400
+بسميه الـ space centroid
+
+87
+00:08:45,270 --> 00:08:56,190
+طيب الجسم هنا، الجسم هنا شكله مدور، لو ثبتت الدولاب
+
+88
+00:08:56,190 --> 00:09:07,210
+لو ثبتت الدولاب و
+
+89
+00:09:07,210 --> 00:09:12,570
+بدأت أدحرجه، أعتبر هذا مستوى أدحرجه، الـ space centroid
+
+90
+00:09:17,160 --> 00:09:23,160
+هذا الثابت، بدأت أدحرجه على الدائرة، بعد شوية حيصير
+
+91
+00:09:23,160 --> 00:09:31,140
+هنا، الموضوع بعد شوية، هنا، الموضوع بعد شوية، هنا
+
+92
+00:09:31,140 --> 00:09:38,420
+الموضوع بعد شوية، هنا الموضوع وهكذا، الآن أنا إذا
+
+93
+00:09:38,420 --> 00:09:45,840
+بآخذ النقطة هذه، نقطة، اثنين، whatever، تلاتة، أربعة
+
+94
+00:09:45,840 --> 00:09:51,600
+خمسة، في عندي عدد من النقاط، النقاط هذه هيمر فيها
+
+95
+00:09:51,600 --> 00:09:58,480
+دائرة، النقاط هذه هيمر فيها دائرة، الدائرة هذه بتمثل
+
+96
+00:09:58,480 --> 00:09:59,880
+شكل الدولاب
+
+97
+00:10:03,360 --> 00:10:09,080
+هذه هي .. بسأل .. الآن شكل الدولاب بالنسبة للمستوى
+
+98
+00:10:09,080 --> 00:10:12,280
+الأفقي، إذا ثبتت الدولاب وبدأت أدحرجه على المستوى
+
+99
+00:10:12,280 --> 00:10:18,900
+الأفقي بسميه الـ body centroid
+
+100
+00:10:18,900 --> 00:10:23,680
+الآن
+
+101
+00:10:23,680 --> 00:10:30,380
+لاحظوا، معناته هذا هو الـ body centroid
+
+102
+00:10:33,200 --> 00:10:40,260
+لاحظوا أن الـ body centroid rolls over الـ space
+
+103
+00:10:40,260 --> 00:10:47,240
+centroid، الـ body centroid rolls over الـ space
+
+104
+00:10:47,240 --> 00:10:51,880
+centroid، والـ space centroid هو الـ locus of all
+
+105
+00:10:51,880 --> 00:10:57,900
+instant centers of this body اللي هو الدولاب، الـ
+
+106
+00:10:57,900 --> 00:11:03,520
+body centroid هو الـ locus of all instant centers
+
+107
+00:11:03,520 --> 00:11:10,320
+للـ .. للـ space centroid، if we fix الـ body centroid
+
+108
+00:11:10,320 --> 00:11:13,500
+أو if we fix the moving body إذا .. إذا ثبتنا
+
+109
+00:11:13,500 --> 00:11:20,980
+الجسم المتحرك و .. و .. وبدأنا ندحرجه أو حركنا الـ space
+
+110
+00:11:20,980 --> 00:11:28,230
+centroid بالنسبة للجسم، نحصل على نقاط، إذا رسمنا بينها
+
+111
+00:11:28,230 --> 00:11:31,210
+curve، الكيرف ده هيكون دائرة، اللي هو نفس الـ body
+
+112
+00:11:31,210 --> 00:11:34,430
+centroid، بمعنى أن الـ body centroid rolls over
+
+113
+00:11:34,430 --> 00:11:42,390
+without slipping the space centroid، طيب، خلينا نأخذ
+
+114
+00:11:42,390 --> 00:11:43,030
+حالة ثانية
+
+115
+00:11:52,600 --> 00:11:57,700
+أنا أخذت المستوى أفقي، بدي آخذ كأنه أنا في منطقة
+
+116
+00:11:57,700 --> 00:12:07,620
+جبلية، وهي
+
+117
+00:12:07,620 --> 00:12:13,780
+الدولاب بدأ من النقطة هذه في
+
+118
+00:12:13,780 --> 00:12:20,830
+اللحظة هذه هي الـ instant center، الآن الدولاب ده
+
+119
+00:12:20,830 --> 00:12:28,030
+هيتدحرج على هذا الطريق، بعد شوية حيصير
+
+120
+00:12:28,030 --> 00:12:34,310
+هنا، هذا الـ instant center، بعد شوية هذا الـ instant
+
+121
+00:12:34,310 --> 00:12:42,190
+center، بعد شوية هذا الـ new instant center، يستمر في
+
+122
+00:12:42,190 --> 00:12:48,750
+التدحرج، new instant center يستمر في التدحرج
+
+123
+00:12:48,750 --> 00:12:59,350
+new instant center، طبعاً هذا ايش، ثابت، لاحظوا
+
+124
+00:12:59,350 --> 00:13:08,530
+الـ locus of all instant centers of this body واقع
+
+125
+00:13:08,530 --> 00:13:21,770
+على الطريق، معناته هذا بسميه الـ Space Centroid، هذا
+
+126
+00:13:21,770 --> 00:13:24,570
+الـ Space Centroid بالنسبة للدولاب، الـ Space
+
+127
+00:13:24,570 --> 00:13:30,110
+Centroid بالنسبة للدولاب، الآن
+
+128
+00:13:30,110 --> 00:13:38,110
+لو أخذت الدولاب وثبتته و
+
+129
+00:13:38,110 --> 00:13:42,090
+أدحرجت الطريق، يعني بدأت أنا من هنا، هذه الطريقة
+
+130
+00:13:50,040 --> 00:13:58,940
+بعدين صرت أدحرج الطريق، يعني هذا ثابت، نحصل
+
+131
+00:13:58,940 --> 00:14:06,880
+للطريق، مركز، دول، لاحظوا، هذا واحد، هيكون مركز، تلاتة
+
+132
+00:14:06,880 --> 00:14:12,600
+أربعة، خمسة، مركز، إذا رسمت، عملت curve fit بين هذه النقاط
+
+133
+00:14:12,600 --> 00:14:16,940
+نحصل على الدولاب، نحصل على الدولاب، معناته الدولاب
+
+134
+00:14:16,940 --> 00:14:25,700
+هو الـ body centroid، لاحظوا
+
+135
+00:14:25,700 --> 00:14:34,080
+الدولاب rolls without slipping over the road
+
+136
+00:14:34,080 --> 00:14:44,430
+معناته الـ body centroid، body centroid اللي هو الـ
+
+137
+00:14:44,430 --> 00:14:51,470
+wheel أو الدولاب rolls without
+
+138
+00:14:51,470 --> 00:14:55,110
+slipping
+
+139
+00:14:55,110 --> 00:14:58,130
+بدون
+
+140
+00:14:58,130 --> 00:15:05,850
+انزلاق over the space centroid
+
+141
+00:15:07,690 --> 00:15:14,730
+اللي هو في الحالة هذه ايش الطريق، الـ road؟ معناته
+
+142
+00:15:14,730 --> 00:15:18,950
+من المثالين هذول المفروض واضحة بالنسبة لنا ايش
+
+143
+00:15:18,950 --> 00:15:26,030
+الفرق بين الـ space centroid والـ body centroid
+
+144
+00:15:26,030 --> 00:15:30,990
+اللي إحنا في بداية المحاضرة حكينا إنه في أكثر من
+
+145
+00:15:30,990 --> 00:15:37,000
+طريقة لحساب الـ velocity of a point on a link، أحد
+
+146
+00:15:37,000 --> 00:15:40,100
+الطرق اللي هي relative velocity method والطريقة
+
+147
+00:15:40,100 --> 00:15:43,620
+اللي إحنا بنتحدث عنها الآن هي الـ instant center
+
+148
+00:15:43,620 --> 00:15:48,420
+method، إحنا الآن بنتحدث عن الـ instant center method
+
+149
+00:15:48,420 --> 00:16:00,620
+الآن في ميكانيزم، في أي ميكانيزم يعني
+
+150
+00:16:00,620 --> 00:16:06,490
+مثلاً الـ four bar linkage mechanism، four bar
+
+151
+00:16:06,490 --> 00:16:13,210
+linkage mechanism، هذه
+
+152
+00:16:13,210 --> 00:16:20,450
+هذه
+
+153
+00:16:20,450 --> 00:16:24,250
+four bar linkage
+
+154
+00:16:24,250 --> 00:16:28,910
+mechanism، هذا link رقم واحد، هذا link رقم اثنين،
+
+155
+00:16:29,430 --> 00:16:33,410
+هذا الـ link رقم 3 وهذا الـ link رقم 4، لاحظ الـ link
+
+156
+00:16:33,410 --> 00:16:37,770
+واحد ثابتة، اثنين لها motion، تلاتة لها motion، أربعة
+
+157
+00:16:37,770 --> 00:16:42,250
+لها motion، الآن
+
+158
+00:16:42,250 --> 00:16:46,430
+عدد الـ number of instant centers in a mechanism
+
+159
+00:16:46,430 --> 00:16:53,070
+اللي هو N capital بيساوي N small في N ناقص واحد على
+
+160
+00:16:53,070 --> 00:16:58,610
+اثنين، N small هو عدد الـ links، وN capital هي number
+
+161
+00:16:58,610 --> 00:17:03,850
+of instant centers، فالحالة هذه n بتساوي أربعة
+
+162
+00:17:03,850 --> 00:17:07,710
+يعني أن N capital عدد الـ instant centers للميكانيزم
+
+163
+00:17:07,710 --> 00:17:14,050
+سيكون أربعة في أربعة ناقص واحد على اثنين، يعني
+
+164
+00:17:14,050 --> 00:17:19,130
+سيكون أربعة في تلاتة على اثنين، سيكون عندك ستة
+
+165
+00:17:19,130 --> 00:17:22,370
+instant centers، ستة instant centers لهذه
+
+166
+00:17:22,370 --> 00:17:22,850
+الميكانيزم
+
+167
+00:17:27,950 --> 00:17:33,210
+الآن إحنا عرفنا للميكانيزم، للميكانيزم هذه أن عندي
+
+168
+00:17:33,210 --> 00:17:36,390
+ستة instant centers، بس فيهم أنواع، مش كلهم نفس
+
+169
+00:17:36,390 --> 00:17:42,910
+النوع، في عندي الـ primary instant centers أو في
+
+170
+00:17:42,910 --> 00:17:47,770
+عندي secondary instant centers، الـ primary instant
+
+171
+00:17:47,770 --> 00:17:51,010
+centers بتنقسم لنوعين، fixed instant centers
+
+172
+00:17:51,010 --> 00:17:54,930
+يعني مثلاً الـ link اثنين مركز دورانها ثابت بتدور
+
+173
+00:17:54,930 --> 00:18:00,840
+حول هذه النقطة، مركز دوران الـ link 2 بيتغير؟ لأ، دائماً
+
+174
+00:18:00,840 --> 00:18:04,600
+ثابت، الـ link 4 بتدور حول النقطة هذه، النقطة هذه
+
+175
+00:18:04,600 --> 00:18:10,740
+الثابتة، معناته I12
+
+176
+00:18:10,740 --> 00:18:15,300
+I14
+
+177
+00:18:15,300 --> 00:18:19,880
+يعني I12 اللي هو instant center of link 2 بالنسبة
+
+178
+00:18:19,880 --> 00:18:24,480
+لـ link 1 ثابت، هذا بسميهم fixed instant centers
+
+179
+00:18:24,480 --> 00:18:33,910
+يعني I واحد اثنين وI واحد أربعة، هذول fixed instant
+
+180
+00:18:33,910 --> 00:18:39,110
+centers، وفي
+
+181
+00:18:39,110 --> 00:18:46,070
+نوع ثاني، permanent instant centers، الآن بين link
+
+182
+00:18:46,070 --> 00:18:52,510
+اثنين وتلاتة في joint، في وصلة، وبين link تلاتة و
+
+183
+00:18:52,510 --> 00:18:56,970
+أربعة في وصلة، واضح أنه عند الوصلة بيصير some
+
+184
+00:18:56,970 --> 00:19:02,410
+rotation، relative rotation، فهذه النقطة بتمثل دوران
+
+185
+00:19:02
+
+223
+00:22:10,800 --> 00:22:14,380
+لما تتحرك الميكانزم، صارت موضوع جديد
+
+224
+00:22:23,790 --> 00:22:29,130
+الـ join بقيت موجودة، لكن الموقع هيتغير. أي ثلاثة
+
+225
+00:22:29,130 --> 00:22:31,170
+أربعة أو أي اثنين، ثلاثة، أربعة، اثنين، ثلاثة
+
+226
+00:22:31,170 --> 00:22:32,910
+أربعة، اثنين، ثلاثة، أربعة، اثنين، ثلاثة، أربعة، اثنين
+
+227
+00:22:32,910 --> 00:22:36,110
+ثلاثة، أربعة، اثنين، ثلاثة، أربعة، اثنين، ثلاثة، أربعة
+
+228
+00:22:36,110 --> 00:22:39,650
+اثنين، ثلاثة، أربعة، اثنين، ثلاثة، أربعة، اثنين، ثلاثة
+
+229
+00:22:39,650 --> 00:22:44,470
+أربعة، اثنين، ثلاثة، أربعة، اثنين، ثلاثة، أربعة، اثنين
+
+230
+00:22:44,470 --> 00:22:47,210
+ثلاثة، أربعة، اثنين، ثلاثة، أربعة، اثنين، ثلاثة، أربعة
+
+231
+00:22:47,210 --> 00:22:55,810
+اثنين، ثلاثة، أربعة، اثنين، ثلاثة، أربعة، اتنين، مركز دوران
+
+232
+00:22:55,810 --> 00:23:01,330
+الـ link ثلاثة بالنسبة لواحد. يعني لو مديت هذا
+
+233
+00:23:01,330 --> 00:23:04,750
+الخط وهذا الخط، بيعطيني I واحدة. بعد شوي هنعرف كيف
+
+234
+00:23:04,750 --> 00:23:11,610
+هذه أجت الآن. مركز دوران الـ I واحد، ثلاثة، مافيش
+
+235
+00:23:11,610 --> 00:23:14,550
+joint هنا رقم واحد، والموقع هذا برضه مش متغير
+
+236
+00:23:14,550 --> 00:23:17,630
+الموقع، الـ instance center، بيتغير من لحظة للحظة، و
+
+237
+00:23:17,630 --> 00:23:25,720
+مافيش joint هنا عندي. بيجي I 24، I 24، لأن برضه موقع
+
+238
+00:23:25,720 --> 00:23:31,600
+لأن مافيش joint عندهم. مافيش joint رقم 2. هذا الموقع
+
+239
+00:23:31,600 --> 00:23:36,900
+بيتغير من لحظة للحظة، ودايمًا راح يقع الخط هذا. معناته
+
+240
+00:23:36,900 --> 00:23:41,020
+واضح في الميكانيزم هذه، في عندي two fixed instant
+
+241
+00:23:41,020 --> 00:23:48,980
+centers. Two permanent instant centers. هو two
+
+242
+00:23:48,980 --> 00:24:02,700
+secondary instant centers. طيب
+
+243
+00:24:24,560 --> 00:24:28,260
+هناخد بعض الأمثلة، أنا عندي مثلًا في المثال هذا
+
+244
+00:24:28,260 --> 00:24:36,860
+عندي الـ link هذه
+
+245
+00:24:36,860 --> 00:24:40,140
+واحد، وهذه اثنين. الـ instance center لـ link اثنين
+
+246
+00:24:40,140 --> 00:24:46,460
+بيصل واحد، هو هذا I12. طب في الحالة هذه، link two is
+
+247
+00:24:46,460 --> 00:24:49,300
+in a pure rotation about this fixed instance
+
+248
+00:24:49,300 --> 00:24:54,990
+center. Link two is in pure rotation about this
+
+249
+00:24:54,990 --> 00:25:00,410
+point. مانع تقاعد، وهذا fixed fixed instant center
+
+250
+00:25:00,410 --> 00:25:13,750
+ناخد حالة ثانية. عندي عندي دائرة بتتدحرج على مستوى
+
+251
+00:25:13,750 --> 00:25:19,630
+أفقي. هذا هو الـ instant center
+
+252
+00:25:23,200 --> 00:25:30,180
+على فرض فش انزلاق، على فرض فش انزلاق. هذا بيكون الـ
+
+253
+00:25:30,180 --> 00:25:32,760
+instant center اللي هي الـ common point بين المستوى
+
+254
+00:25:32,760 --> 00:25:39,620
+المستوى والدولاب. هذا link واحد طبعًا، والدولاب link
+
+255
+00:25:39,620 --> 00:25:49,100
+اثنين. لأ، لو خدت block is
+
+256
+00:25:49,100 --> 00:25:51,880
+in a translation الآن
+
+257
+00:25:55,720 --> 00:26:01,340
+معناته is in a pure translation. معناته the body is
+
+258
+00:26:01,340 --> 00:26:05,640
+rotating about a center that is. يعني الـ .. الـ ..
+
+259
+00:26:05,640 --> 00:26:08,200
+الـ instant center بعيد جدًا جدًا جدًا جدًا جدًا. معناته
+
+260
+00:26:08,200 --> 00:26:12,280
+بيكون عند الـ instant center جاي في مان النهاية في
+
+261
+00:26:12,280 --> 00:26:17,740
+infinity. معناته I هاي واحد، وهاي اثنين. I واحد اثنين
+
+262
+00:26:17,740 --> 00:26:20,140
+بيروح في infinity
+
+263
+00:26:24,310 --> 00:26:30,290
+عندي body ثاني، هي
+
+264
+00:26:30,290 --> 00:26:39,030
+الـ link واحد، وهي الـ body الآن بنزلق
+
+265
+00:26:39,030 --> 00:26:44,890
+على السطح الدوراني هذا. معناته هيكون مركز دورانه
+
+266
+00:26:44,890 --> 00:26:51,050
+اللي هو مركز السطح هذا. الـ instant center واحد
+
+267
+00:26:51,050 --> 00:26:57,800
+اثنين. نفس الشيء، لو كان عندي body خارجي، وهذا fixed
+
+268
+00:26:57,800 --> 00:27:05,220
+وفي عليه body بنزلق، هذه هتكون الـ instant center
+
+269
+00:27:05,220 --> 00:27:07,300
+واحد اثنين
+
+270
+00:27:29,210 --> 00:27:35,290
+طيب الآن، الـ Arnold Kennedy theorem. طب أنا حاطط
+
+271
+00:27:35,290 --> 00:27:40,730
+فيديو توضيحي أو فيديو بعمل محاكاة على الـ Arnold
+
+272
+00:27:40,730 --> 00:27:44,510
+Kennedy theorem. موجود. افتحوا الموديل وشغلوا
+
+273
+00:27:44,510 --> 00:27:49,390
+الفيديو هذا، وشوفوا Kennedy theorem بتحكي. إذا في
+
+274
+00:27:49,390 --> 00:27:55,460
+three bodies. عندي ثلاثة أجسام، move relative to each
+
+275
+00:27:55,460 --> 00:27:59,220
+other. هدول الثلاثة أجسام في حركة نسبية بينها، يعني
+
+276
+00:27:59,220 --> 00:28:03,500
+بتحركوا بالنسبة لبعض. النتيجة
+
+277
+00:28:03,500 --> 00:28:10,880
+they have three instant centers that lie on a
+
+278
+00:28:10,880 --> 00:28:15,980
+straight line. إذا عندي ثلاثة أجسام، ثلاثة أجسام بتحركوا
+
+279
+00:28:15,980 --> 00:28:24,580
+بالنسبة لبعض، هيكون ثلاثة مراكز دوران لحظية، بتكون واقعة
+
+280
+00:28:24,580 --> 00:28:29,660
+على نفس الخط المستقيم. يعني إذا كان ثلاثة أجسام، و
+
+281
+00:28:29,660 --> 00:28:34,300
+بتحركوا بالنسبة لبعض، they will have three instant
+
+282
+00:28:34,300 --> 00:28:39,300
+centers that lie on a straight line. يعني نرجع للـ
+
+283
+00:28:39,300 --> 00:28:47,300
+four bar linkage. نرجع
+
+284
+00:28:47,300 --> 00:28:48,320
+للـ four bar linkage
+
+285
+00:28:52,070 --> 00:28:55,970
+خلّيني آخذ ثلاثة أجسام. الجسم هذا، الـ link واحد، هاي الـ
+
+286
+00:28:55,970 --> 00:29:01,310
+link واحد، و
+
+287
+00:29:01,310 --> 00:29:11,890
+هاخد link اثنين، و link ثلاثة. link
+
+288
+00:29:11,890 --> 00:29:20,130
+واحد، و link اثنين. يعني هناخد الـ link، الـ link واحد
+
+289
+00:29:21,600 --> 00:29:29,960
+و اثنين، وثلاثة. لحظة
+
+290
+00:29:29,960 --> 00:29:37,640
+بين اثنين وواحد. فهنأخذ
+
+291
+00:29:37,640 --> 00:29:41,180
+أي أي
+
+292
+00:29:41,180 --> 00:29:43,080
+واحد اثنين
+
+293
+00:29:56,710 --> 00:30:11,090
+وفي عندي كمان I اثنين ثلاثة. هاي I اثنين ثلاثة، و
+
+294
+00:30:11,090 --> 00:30:22,350
+في عندي I واحد ثلاثة. هذا هو I واحد ثلاثة. لحظة
+
+295
+00:30:28,460 --> 00:30:32,960
+أي واحد اثنين، وأي اثنين ثلاثة، وأي واحد ثلاثة
+
+296
+00:30:32,960 --> 00:30:37,140
+واقعين على نفس الخط، على نفس الاستقامة. عندي ثلاثة
+
+297
+00:30:37,140 --> 00:30:41,620
+روابط. if I have three bodies that they have
+
+298
+00:30:41,620 --> 00:30:43,320
+relative motion with respect to each other. يعني
+
+299
+00:30:43,320 --> 00:30:48,060
+عندي link واحد، و link اثنين، و link ثلاثة، وهدول في
+
+300
+00:30:48,060 --> 00:30:51,280
+بينهم حركة نسبية، حيكون في عندي ثلاثة instant
+
+301
+00:30:51,280 --> 00:30:54,620
+centers. يعني أي واحد اثنين، وأي اثنين ثلاثة، وأي
+
+302
+00:30:54,620 --> 00:30:59,040
+واحد ثلاثة، واقعين على نفس الخط. ناخد ثلاثة .. ثلاثة link
+
+303
+00:30:59,040 --> 00:31:04,380
+ثانين. لو أخدت link
+
+304
+00:31:04,380 --> 00:31:08,080
+واحد، و
+
+305
+00:31:08,080 --> 00:31:19,620
+link أربعة، و link ثلاثة. أنا أخدت link واحد، وأربعة، و
+
+306
+00:31:19,620 --> 00:31:26,620
+ثلاثة. يعني أنا هيكون عندي I واحد أربعة، و I واحد
+
+307
+00:31:26,620 --> 00:31:35,400
+ثلاثة، و I ثلاثة أربعة. لأن هاي I واحد أربعة، هاي I
+
+308
+00:31:35,400 --> 00:31:45,660
+واحد أربعة، و I ثلاثة أربعة. هاي I ثلاثة أربعة، و I
+
+309
+00:31:45,660 --> 00:31:49,080
+واحد ثلاثة. هاي I واحد ثلاثة. لاحظوا برضه، واقعة
+
+310
+00:31:49,080 --> 00:31:58,500
+على نفس الخط. أنا عندي ثلاثة links، link واحد، وأربعة،
+
+311
+00:31:58,500 --> 00:32:01,720
+وثلاثة. فيه بينهم relative motion. بين واحد، وأربعة،
+
+312
+00:32:01,720 --> 00:32:07,620
+وثلاثة. فيه ثلاثة instant centers. I14، و I34، و I13
+
+313
+00:32:07,620 --> 00:32:13,700
+واقعين على نفس الخط. طيب ناخد
+
+314
+00:32:13,700 --> 00:32:22,880
+كمان combination. ناخد link اثنين، و link ثلاثة، و
+
+315
+00:32:22,880 --> 00:32:32,100
+link أربعة. داخل اثنين، وثلاثة، وأربعة. حيكون في I
+
+316
+00:32:32,100 --> 00:32:41,120
+اثنين ثلاثة، I اثنين مع ثلاثة، و I اثنين مع أربعة، و
+
+317
+00:32:41,120 --> 00:32:47,700
+I ثلاثة مع أربعة. الآن نشوف وين هم. هاي I اثنين
+
+318
+00:32:47,700 --> 00:32:57,620
+ثلاثة، وهاي I ثلاثة أربعة، وهاي I اثنين أربعة. ألاحظ
+
+319
+00:32:57,620 --> 00:33:04,920
+واقعين على نفس الاستقامة. هذه كانت الـ theorem. if we
+
+320
+00:33:04,920 --> 00:33:08,960
+have three bodies with relative motion with
+
+321
+00:33:08,960 --> 00:33:11,680
+respect to each other، then we will have three
+
+322
+00:33:11,680 --> 00:33:14,640
+instant centers that lie on the same straight line
+
+323
+00:33:14,640 --> 00:33:22,100
+طيب
+
+324
+00:33:33,410 --> 00:33:36,430
+الـ method of locating instances in a mechanism
+
+325
+00:33:36,430 --> 00:33:40,350
+يعني إحنا نحكي، أول أشياء، determine the number
+
+326
+00:33:40,350 --> 00:33:42,290
+of instant centers. and capitals and capitals
+
+327
+00:33:42,290 --> 00:33:45,510
+بيساوي and small في and minus واحد على اثنين and
+
+328
+00:33:45,510 --> 00:33:48,710
+small هو عدد الـ links، و and capital هو عدد الـ
+
+329
+00:33:48,710 --> 00:33:51,910
+instant centers. يعني في حالة الـ four bar linkage
+
+330
+00:33:51,910 --> 00:33:56,770
+عندي أربعة links، هيكون عدد الـ instant centers، أربعة
+
+331
+00:33:56,770 --> 00:33:59,610
+في أربعة، ناقص واحد على اثنين. عندي ستة instant centers
+
+332
+00:33:59,610 --> 00:34:04,110
+بعدين، make a list of all instantaneous centers. إيش
+
+333
+00:34:04,110 --> 00:34:07,860
+بروْح أرتّب، بكتبهم. يعني الـ link عندي، هي link واحد
+
+334
+00:34:07,860 --> 00:34:12,620
+link اثنين، link ثلاثة، و link أربعة. هنا عند الـ
+
+335
+00:34:12,620 --> 00:34:18,280
+instant centers الآن. واحد في واحد في .. في .. في
+
+336
+00:34:18,280 --> 00:34:21,520
+instant center. أي واحد اثنين. يعني اللي هو مركز
+
+337
+00:34:21,520 --> 00:34:25,420
+دوران link اثنين بالنسبة لواحد. في ثلاثة واحد هو
+
+338
+00:34:25,420 --> 00:34:28,460
+مركز دوران link ثلاثة بالنسبة لواحد. في أربعة أو
+
+339
+00:34:28,460 --> 00:34:31,180
+واحد أربعة. مركز دوران link أربعة بالنسبة لواحد
+
+340
+00:34:31,180 --> 00:34:36,980
+الآن اثنين. اثنين مع واحد، خلصنا منها. حضّر اثنين مع
+
+341
+00:34:36,980 --> 00:34:41,900
+ثلاثة، واثنين مع أربعة. الآن ثلاثة. ثلاثة مع واحد
+
+342
+00:34:41,900 --> 00:34:44,940
+خلصت منها، وثلاثة مع اثنين خلصت منها، وحضّر ثلاثة
+
+343
+00:34:44,940 --> 00:34:48,920
+مع أربعة. لاحظوا، عندي واحد، اثنين، ثلاثة، أربعة، خمسة
+
+344
+00:34:48,920 --> 00:34:54,100
+ستة instant centers. فبنعمل جدول، بيكون عندي الـ link
+
+345
+00:34:54,100 --> 00:34:57,060
+وهنا الـ list of instant centers
+
+346
+00:35:05,240 --> 00:35:11,620
+الخطوة الثالثة، Locate fixed and parent instant
+
+347
+00:35:11,620 --> 00:35:18,860
+centers by inspection. Locate instant .. fixed and
+
+348
+00:35:18,860 --> 00:35:23,900
+parent instant centers بالنظر. by inspection يعني
+
+349
+00:35:23,900 --> 00:35:32,120
+في حالة .. في حالة الـ .. الـ four bar linkage
+
+350
+00:35:44,590 --> 00:35:48,010
+هذا الـ link واحد، وهذا الـ link اثنين، وهذا الـ link
+
+351
+00:35:48,010 --> 00:35:53,010
+ثلاثة، وهذا الـ link أربعة. Locate fixed and parent
+
+352
+00:35:53,010 --> 00:35:57,190
+instance centers by inspection. هذا I واحد اثنين
+
+353
+00:35:57,190 --> 00:36:02,170
+عرفنا هذا، بالنظر، مش ده يعني للحسابات. هذا I
+
+354
+00:36:02,170 --> 00:36:08,170
+واحد أربعة، fixed. يعني عندي I واحد اثنين، و I واحد
+
+355
+00:36:08,170 --> 00:36:19,010
+أربعة، fixed. في عندي I اثنين ثلاثة، وعندي I ثلاثة
+
+356
+00:36:19,010 --> 00:36:24,150
+أربعة اللي
+
+357
+00:36:24,150 --> 00:36:35,890
+هم permanent. طيب،
+
+358
+00:36:35,890 --> 00:36:39,670
+ضايل عندي العدد الـ .. عدد الـ .. عدد الـ instance
+
+359
+00:36:39,670 --> 00:36:42,810
+centers ستة، عرفنا أربعة، ضايل اثنين
+
+360
+00:36:45,440 --> 00:36:49,720
+في الحالة هذه، بنستخدم الـ Kennedy's theorem to
+
+361
+00:36:49,720 --> 00:36:55,020
+determine the remainder. الآن
+
+362
+00:36:55,020 --> 00:37:04,200
+الآن، locate remaining secondary centers باستخدام
+
+363
+00:37:04,200 --> 00:37:07,560
+الـ Kennedy's theorem. الـ Kennedy's theorem بتحكي
+
+364
+00:37:07,560 --> 00:37:12,900
+إذا عندي ثلاثة أجسام، وفي بينهم relative motion، بتكون
+
+365
+00:37:14,590 --> 00:37:17,670
+في ثلاثة instant centers، بتكون واقعة على نفس الخط
+
+366
+00:37:17,670 --> 00:37:23,330
+المستقيم. join
+
+367
+00:37:23,330 --> 00:37:28,030
+points by solid lines to show that these things
+
+368
+00:37:28,030 --> 00:37:35,530
+are already found. يعني ممكن أعمل دائرة بالشكل هذا
+
+369
+00:37:35,530 --> 00:37:39,690
+أنا
+
+370
+00:37:39,690 --> 00:37:43,750
+عندي أربعة لينكات، معناته هتكون في الدائرة، في مربع
+
+371
+00:37:43,750 --> 00:37:51,910
+عندي هنا هذه النقطة، هذه عندي واحد، هذه اثنين، هذه
+
+372
+00:37:51,910 --> 00:38:05,090
+الثلاثة، هذه أربعة. هذا الـ link، هذا
+
+373
+00:38:05,090 --> 00:38:06,030
+الـ link واحد
+
+374
+00:38:11,070 --> 00:38:18,050
+هذه اثنين، وهذه ثلاثة، وهذه أربعة. الآن أنا by
+
+375
+00:38:18,050 --> 00:38:26,690
+inspection، عرفنا I12، بوصله بخط صلب. هاي I12، by
+
+376
+00:38:26,690 --> 00:38:34,250
+inspection، عرفنا I14. هاي I14، I14، و by inspection
+
+377
+00:38:34,250 --> 00:38:38,290
+عرفنا اللي هو الـ two parent instant centers. I23، I
+
+378
+00:38:38,290 --> 00:38:44,120
+I2ثلاثة، و by inspection، عرفنا another parent
+
+379
+00:38:44,120 --> 00:38:47,180
+instance. مثل I ثلاثة أربعة. هاي ثلاثة، وهي أربعة
+
+380
+00:38:47,180 --> 00:38:54,160
+بوصلهم الآن
+
+381
+00:38:54,160 --> 00:39:00,200
+باستخدام Kennedy's theorem. أنا عندي مثلًا هنا، عندي
+
+382
+00:39:00,200 --> 00:39:04,500
+أطلع هنا، أنا هنا عندي هنا I ثلاثة أربعة، و I اثنين
+
+383
+00:39:04,500 --> 00:39:07,080
+ثلاثة. يعني عندي عندي
+
+384
+00:39:08,880 --> 00:39:16,680
+Link عندي هنا، انتبهوا هنا. عندي هنا I اثنين ثلاثة، وهنا
+
+385
+00:39:16,680 --> 00:39:25,500
+عندي I ثلاثة أربعة. هنا عندي I ثلاثة أربعة، وهنا
+
+386
+00:39:25,500 --> 00:39:31,180
+عندي I اثنين ثلاثة. تطلعوا الأرقام. عندي هنا عندي
+
+387
+00:39:31,180 --> 00:39:32,560
+ثلاثة وأربعة
+
+388
+00:39:35,830 --> 00:39:39,210
+واثنين وثلاثة. يعني اثنين اللي مبين عندي هنا
+
+389
+00:39:39,210 --> 00:39:42,250
+ثلاثة وأربعة، واثنين. معناه ثلاثة لينكات. هيكون لينك
+
+390
+00:39:42,250 --> 00:39:45,610
+اثنين، ولينك ثلاثة، ولينك أربعة. يعني عندي three
+
+391
+00:39:45,610 --> 00:39:51,070
+links اللي هو اثنين، ولينك ثلاثة، ولينك أربعة
+
+392
+00:39:51,070 --> 00:39:56,710
+معناته هيكون في عندي instant center اثنين مع ثلاثة. I
+
+393
+00:39:56,710 --> 00:40:02,490
+اثنين ثلاثة، وعندي ثلاثة مع أربعة. I ثلاثة أربعة
+
+394
+00:40:02,490 --> 00:40:04,650
+وعندي I
+
+395
+00:40:12,950 --> 00:40:16,230
+ثلاثة أربعة. اثنين مع أربعة. اثنين مع أربعة. اثنين مع
+
+396
+00:40:16,230 --> 00:40:17,290
+أربعة. اثنين مع أربعة. اثنين مع أربعة. اثنين مع أربعة
+
+397
+00:40:17,290 --> 00:40:17,390
+اثنين مع أربعة. اثنين مع أربعة. اثنين مع أربعة. اثنين
+
+398
+00:40:17,390 --> 00:40:22,730
+مع أربعة. اثنين مع أربعة. اثنين مع أربعة. اثنين
+
+399
+00:40:22,730 --> 00:40:23,470
+مع أربعة. اثنين مع أربعة. اثنين مع أربعة. اثنين مع
+
+400
+00:40:23,470 --> 00:40:23,770
+أربعة. اثنين مع أربعة. اثنين مع أربعة. اثنين مع أربعة
+
+401
+00:40:23,770
+
+445
+00:45:34,140 --> 00:45:42,960
+of link b,c حدد لي كل الـ instance centers بعدين أجد
+
+446
+00:45:42,960 --> 00:45:46,200
+السرعة الزاوية لـ link b,c طيب
+
+447
+00:45:50,340 --> 00:45:58,480
+خلّيني أعمل الانسخ هذه أه
+
+448
+00:45:58,480 --> 00:46:07,320
+و معطيني أي دي ستمية أي دي ستمية
+
+449
+00:46:07,320 --> 00:46:15,960
+مليمتر أول شيء بدي أرقم اللينكات في عندي اللينك
+
+450
+00:46:15,960 --> 00:46:24,120
+الثابت هذه الأرض أسميها link رقم واحد هي دي
+
+451
+00:46:24,120 --> 00:46:30,320
+AB link رقم اتنين BC
+
+452
+00:46:30,320 --> 00:46:42,740
+link رقم تلاتة CD link رقم أربعة معناته
+
+453
+00:46:42,740 --> 00:46:47,200
+أربعة link عندي أنا عندي N small أربعة
+
+454
+00:46:49,330 --> 00:46:52,850
+معناته بعد كده هأحسب number of instant centers N
+
+455
+00:46:52,850 --> 00:46:59,970
+capital بيساوي N small في N ناقص واحد على اتنين
+
+456
+00:46:59,970 --> 00:47:05,610
+هتساوي طبعاً أربعة في أربعة ناقص واحد على اتنين
+
+457
+00:47:05,610 --> 00:47:08,990
+هتكون تساوي ستة instant centers أنا عندي ستة
+
+458
+00:47:08,990 --> 00:47:14,890
+instant centers هأعمل
+
+459
+00:47:14,890 --> 00:47:15,310
+جدول
+
+460
+00:47:34,290 --> 00:47:45,310
+عندي هنا link واحد link اتنين link تلاتة و
+
+461
+00:47:45,310 --> 00:47:51,590
+link أربعة يعني الـ link بعدين
+
+462
+00:47:51,590 --> 00:47:58,730
+هأحكي الـ instant centers الآن في عندي هنا واحد
+
+463
+00:47:58,730 --> 00:48:04,710
+اتنين instant center واحد اتنين واحد تلاتة واحد
+
+464
+00:48:04,710 --> 00:48:13,010
+أربعة الآن اتنين في اتنين مع واحد اتنين مع تلاتة
+
+465
+00:48:13,010 --> 00:48:19,400
+اتنين مع أربعة هنا التلاتة already خلصت التلاتة مع
+
+466
+00:48:19,400 --> 00:48:22,380
+الواحد و التلاتة مع الاتنين خلصناها معناته هيضطر عند
+
+467
+00:48:22,380 --> 00:48:29,160
+التلاتة أربعة الأربعة مع الواحد هيها و التلاتة هيها
+
+468
+00:48:29,160 --> 00:48:33,180
+مع الاتنين هيها مع التلاتة هيها مع الاتنين هيها مع
+
+469
+00:48:33,180 --> 00:48:34,540
+الاتنين هيها مع الاتنين هيها مع الاتنين هيها مع
+
+470
+00:48:34,540 --> 00:48:34,740
+الاتنين هيها مع الاتنين هيها مع الاتنين هيها مع
+
+471
+00:48:34,740 --> 00:48:35,160
+الاتنين هيها مع الاتنين
+
+472
+00:48:51,860 --> 00:49:03,260
+لأن هأعمل دائرة أنا
+
+473
+00:49:03,260 --> 00:49:06,660
+عندي أربع .. أربع linked معينة هيكون عندي مربع هاي
+
+474
+00:49:06,660 --> 00:49:15,180
+عندي واحد اتنين تلاتة
+
+475
+00:49:15,180 --> 00:49:18,320
+هاي أربعة
+
+476
+00:49:23,620 --> 00:49:28,180
+by inspection I
+
+477
+00:49:28,180 --> 00:49:32,820
+will locate الـ fixed centers الأول أول شيء بدي
+
+478
+00:49:32,820 --> 00:49:37,540
+أنا هنا هذا الـ center هذا المركز ده وراء الـ link
+
+479
+00:49:37,540 --> 00:49:47,920
+اتنين بالنسبة لواحد هذا I واحد اتنين معناته هي
+
+480
+00:49:47,920 --> 00:49:51,400
+واحد اتنين يعني عندي link واحد
+
+481
+00:49:54,700 --> 00:50:02,120
+خلصت من هنا عرفنا هاي I 1 2 و عندي النقطة دي تمثل
+
+482
+00:50:02,120 --> 00:50:10,600
+محور دوران لـ أربعة من أسلوب معناته هاي I I
+
+483
+00:50:10,600 --> 00:50:23,530
+1 4 معناته هاي عندي هنا link 4 هاي I 1 4 الآن أي
+
+484
+00:50:23,530 --> 00:50:28,030
+واحد اتنين أي
+
+485
+00:50:28,030 --> 00:50:34,590
+واحد أربعة عبارة عن fixed محور
+
+486
+00:50:34,590 --> 00:50:41,790
+دوران ثابت fixed instant centers الآن
+
+487
+00:50:41,790 --> 00:50:45,530
+هأشوف الـ permanent instant centers في عندي instant
+
+488
+00:50:45,530 --> 00:50:50,810
+center بين اتنين و تلاتة هذه
+
+489
+00:50:50,810 --> 00:51:00,880
+أياتنين تلاتة هاي عندي هنا الـ link
+
+490
+00:51:00,880 --> 00:51:12,140
+هذا
+
+491
+00:51:12,140 --> 00:51:13,780
+I اتنين تلاتة
+
+492
+00:51:23,400 --> 00:51:31,840
+و عندي كمان I بين أربعة و تلاتة I تلاتة
+
+493
+00:51:31,840 --> 00:51:41,660
+أربعة I
+
+494
+00:51:41,660 --> 00:51:49,720
+تلاتة أربعة لأن عندي I اتنين تلاتة و I تلاتة أربعة
+
+495
+00:51:49,720 --> 00:51:51,460
+عبارة عن permanent
+
+496
+00:51:56,070 --> 00:52:01,590
+instant centers خلصت
+
+497
+00:52:01,590 --> 00:52:06,090
+منهم الآن عندي ضال الآن so far أنا اللي عرفتهم so
+
+498
+00:52:06,090 --> 00:52:13,570
+far عرفنا أي واحد اتنين و
+
+499
+00:52:13,570 --> 00:52:22,010
+أي واحد أربعة و أي اتنين تلاتة و أي تلاتة أربعة
+
+500
+00:52:24,690 --> 00:52:35,450
+ضال عندي I 1 3 و I 2 4 إذا
+
+501
+00:52:35,450 --> 00:52:48,530
+أخدت الـ link 1 و 2 و 3 الـ links الـ links واحد
+
+502
+00:52:49,490 --> 00:52:54,890
+و اتنين و تلاتة هدول طبقاً لـ canada theorem في بينهم
+
+503
+00:52:54,890 --> 00:52:58,330
+relative motion المعنى هو هيكون أن هناك تلاتة
+
+504
+00:52:58,330 --> 00:53:02,870
+centers انسان موجودين على اتنين و تلاتة انسان
+
+505
+00:53:02,870 --> 00:53:04,010
+موجودين على اتنين و تلاتة انسان موجودين على اتنين
+
+506
+00:53:04,010 --> 00:53:06,050
+و تلاتة انسان موجودين على اتنين و تلاتة انسان
+
+507
+00:53:06,050 --> 00:53:08,630
+موجودين على اتنين و تلاتة انسان موجودين على اتنين
+
+508
+00:53:08,630 --> 00:53:10,310
+و تلاتة انسان موجودين على اتنين و تلاتة انسان
+
+509
+00:53:10,310 --> 00:53:16,810
+موجودين على اتنين و تلاتة انسان موجودين على اتنين
+
+510
+00:53:16,810 --> 00:53:19,070
+و تلاتة انسان موجودين على اتنين و تلاتة انسان
+
+511
+00:53:19,070 --> 00:53:23,850
+موجودين على اتنين لأن عندي هاي أي واحد اتنين و هاي أي
+
+512
+00:53:23,850 --> 00:53:32,790
+اتنين تلاتة يعني
+
+513
+00:53:32,790 --> 00:53:37,970
+أي واحد تلاتة عندي هاي أي واحد تلاتة أو أي اتنين
+
+514
+00:53:37,970 --> 00:53:43,270
+تلاتة و أي واحد اتنين هيكونوا على نفس الخط هأخذ
+
+515
+00:53:43,270 --> 00:53:48,210
+الـ links واحد و أربعة و تلاتة هأخذ links links
+
+516
+00:53:51,600 --> 00:53:57,120
+واحد و أربعة و تلاتة معناته هيكون عنده instant
+
+517
+00:53:57,120 --> 00:54:00,160
+center هذه التلاتة الانكاز الـ three links that
+
+518
+00:54:00,160 --> 00:54:02,640
+have relative motion with respect to each other
+
+519
+00:54:02,640 --> 00:54:09,900
+هيكون عنده بين واحد و أربعة I واحد أربعة و I واحد
+
+520
+00:54:09,900 --> 00:54:15,740
+تلاتة و I تلاتة أربعة هدول هيكونوا على نفس الاستقامة
+
+521
+00:54:15,740 --> 00:54:20,600
+اللي أنا عندي هاي I واحد أربعة و I تلاتة أربعة و
+
+522
+00:54:20,600 --> 00:54:31,240
+واحد تلاتة هيكونوا على نفس الخط معناته لو وصلت هدول I
+
+523
+00:54:31,240 --> 00:54:38,380
+واحد تلاتة معناته
+
+524
+00:54:38,380 --> 00:54:43,700
+و I واحد تلاتة واقع الخط هذا و واقع الخط هذا إذا
+
+525
+00:54:43,700 --> 00:54:46,800
+واقع الخطين هدول أكيد هيكون واقعة تقطعهم معناته هذه
+
+526
+00:54:46,800 --> 00:54:47,220
+هتكون
+
+527
+00:54:50,210 --> 00:54:55,270
+I13 معناته أنا حسبت I13 معناته بوصل بين نقطة واحد
+
+528
+00:54:55,270 --> 00:54:59,850
+واحد
+
+529
+00:54:59,850 --> 00:55:06,230
+تلاتة صار معروف عندي اللي
+
+530
+00:55:06,230 --> 00:55:13,230
+هنضال عندي I24 لو أخدت الـ link واحد
+
+531
+00:55:16,830 --> 00:55:25,670
+واحد و اتنين و أربعة أخدت الـ links الـ links واحد
+
+532
+00:55:25,670 --> 00:55:30,840
+و اتنين و أربعة هدول الـ links 1,2,4 فيه بينهم حركة
+
+533
+00:55:30,840 --> 00:55:33,340
+نسبية يعني هيكون فيه تلاتة instance centers واقعة
+
+534
+00:55:33,340 --> 00:55:41,860
+نفس الخط هيكون عندي تلاتة محاور بين I 1,2 و I 1,4 و
+
+535
+00:55:41,860 --> 00:55:46,720
+I 2,4 هتكون واقعة نفس الخط لأن عندي هاي I 1,2 و I
+
+536
+00:55:46,720 --> 00:55:52,720
+1,4 لو وصلتهم و
+
+537
+00:55:52,720 --> 00:55:53,340
+مديت
+
+538
+00:56:00,820 --> 00:56:05,580
+هيكون عندي I اتنين
+
+539
+00:56:05,580 --> 00:56:10,840
+أربعة واقع الخط اللي عندي هنا I14 I12 و I24 يعني
+
+540
+00:56:10,840 --> 00:56:13,060
+هيكون على نفس الاستقامة أي اتنين أربعة هيكون واقع
+
+541
+00:56:13,060 --> 00:56:18,300
+الخط هذا هأخذ
+
+542
+00:56:18,300 --> 00:56:26,980
+اتنين و تلاتة و أربعة هأخذ links links اتنين
+
+543
+00:56:26,980 --> 00:56:33,440
+و تلاتة و أربعة هأخذ links اتنين و تلاتة و أربعة
+
+544
+00:56:33,440 --> 00:56:38,060
+هيكون
+
+545
+00:56:38,060 --> 00:56:44,040
+عنده instance centers اللي هو I اتنين مع تلاتة و I
+
+546
+00:56:44,040 --> 00:56:49,440
+اتنين مع أربعة و I تلاتة مع أربعة على نفس
+
+547
+00:56:49,440 --> 00:56:53,980
+الاستقامة اللي أنا عنده عنده هاي I تلاتة أربعة و I
+
+548
+00:56:53,980 --> 00:56:56,080
+اتنين تلاتة و I اتنين أربعة هيكون واقعين على نفس
+
+549
+00:56:56,080 --> 00:56:56,480
+الخط
+
+550
+00:57:03,530 --> 00:57:11,750
+I اتنين أربعة اتنين أربعة واضح أن I اتنين أربعة
+
+551
+00:57:11,750 --> 00:57:17,070
+واقع الخط هذا و واقع الخط هذا معناته نقطة التقاطع
+
+552
+00:57:17,070 --> 00:57:21,790
+هدول الخطين هذه تمثل I اتنين أربعة أو جد All
+
+553
+00:57:21,790 --> 00:57:26,690
+Instant Centers I اتنين
+
+554
+00:57:26,690 --> 00:57:27,130
+أربعة
+
+555
+00:57:31,290 --> 00:57:44,990
+هذا المطلوب الأول المطلوب الثاني كان الـ link
+
+556
+00:57:44,990 --> 00:57:50,830
+a,b الـ omega omega
+
+557
+00:57:50,830 --> 00:58:00,660
+a,b يعني omega اتنين بصومية rpm يعني هتكون مية في
+
+558
+00:58:00,660 --> 00:58:25,400
+اتنين by على ستين بتطلع
+
+559
+00:58:25,400 --> 00:58:33,220
+عشرة point أربعة سبعة radians per second أفرض أنها
+
+560
+00:58:33,220 --> 00:58:38,480
+بتدور clockwise بده
+
+561
+00:58:38,480 --> 00:58:42,580
+نحسب السرعة الزاوية لـ link تلاتة
+
+562
+00:58:54,300 --> 00:58:57,920
+الآن أنا ملزم أن أحسب شوية حسابات هندسية عندي هذا
+
+563
+00:58:57,920 --> 00:59:05,820
+الزاوية ستين و لاحظوا الأطوال عندي هذا معروف ستمية
+
+564
+00:59:05,820 --> 00:59:11,440
+ستمية أنا ممكن أسوي التالة
+
+565
+00:59:28,400 --> 00:59:36,500
+لو أخدت المثلث أخدت المثلث a
+
+566
+00:59:36,500 --> 00:59:46,880
+b d مثلث a b d مثلث
+
+567
+00:59:46,880 --> 00:59:50,020
+a
+
+568
+00:59:50,020 --> 01:00:06,410
+b d هذا المثلث هي a هي b هي d هذا المترجم أنا عارف
+
+569
+01:00:06,410 --> 01:00:10,710
+الطول هذا ستمية و هذا تلاتمية و هذا الزاوية ستين
+
+570
+01:00:10,710 --> 01:00:15,290
+باستخدام الـ cos اللي هو ممكن أحسب به دي الـ BD
+
+571
+01:00:15,290 --> 01:00:28,290
+الـ BD تربيع حيث يساوي الـ AB تربيع زائد الـ AD
+
+572
+01:00:29,370 --> 01:00:42,910
+تربيع ناقص اتنين AB في AD cosine الستين يعني الـ
+
+573
+01:00:42,910 --> 01:00:49,170
+BD تربيع هيكون يساوي الـ AB تربيع اللي هو تلت مية
+
+574
+01:00:49,170 --> 01:00:58,170
+تربيع تلت مية تربيع زائد ستمية تربيع ناقص اتنين في
+
+575
+01:00:58,170 --> 01:01:14,240
+تلت مية في ستمية في كوساين ستين نص يعني
+
+576
+01:01:14,240 --> 01:01:15,040
+التلاتمية
+
+577
+01:01:29,950 --> 01:01:40,630
+and هيكون تلت مية تلت مية زائد ست مية ناقص
+
+578
+01:01:40,630 --> 01:01:47,990
+تطلع
+
+579
+01:01:47,990 --> 01:01:53,650
+ميتين وسبعين ألف معناته
+
+580
+01:01:53,650 --> 01:01:54,490
+بحسب الـ BD
+
+581
+01:02:12,540 --> 01:02:19,840
+طيب و أنا بحسب الـ BD احسبوا لي الـ BD اللي هو جذر
+
+582
+01:02:19,840 --> 01:02:35,740
+التربيع لـ الميتين وسبعين ألف الآن
+
+583
+01:02:35,740 --> 01:02:37,120
+أنا حسبت الـ BD
+
+584
+01:02:46,230 --> 01:02:53,570
+خلّيني أسمي الزاوية هذه θ
+
+585
+01:02:53,570 --> 01:02:59,590
+هذه
+
+586
+01:02:59,590 --> 01:03:08,890
+الزاوية θ بدي آخذ المثلث الـ مثلث BCD
+
+587
+01:03:08,890 --> 01:03:09,930
+المثلث
+
+588
+01:03:15,300 --> 01:03:26,040
+BCD نفس الأشياء هتكون عنده BD تربيع هتساوي
+
+589
+01:03:26,040 --> 01:03:33,340
+BC تربيع زائد
+
+590
+01:03:33,340 --> 01:03:38,740
+CD تربيع ناقص
+
+591
+01:03:38,740 --> 01:03:39,520
+اتنين BC
+
+592
+01:03:43,280 --> 01:03:53,060
+في CD في cosine θ يعني هتصير عندي هنا الـ BD
+
+593
+01:03:53,060 --> 01:03:56,720
+تربيع اللي هي ميتين وسبعين ألف ميتين وسبعين ألف
+
+594
+01:03:56,720 --> 01:04:00,760
+بتساوي
+
+595
+01:04:00,760 --> 01:04:10,460
+الـ BC تربيع اللي هي تلت مية وستون تربيع ناقص
+
+596
+01:04:10,460 --> 01:04:19,580
+زائد تلاتمية وستون تربيع ناقص اتنين في تلاتمية و
+
+597
+01:04:19,580 --> 01:04:26,780
+ستون في تلاتمية و ستين في cosine θ و منها
+
+598
+01:04:26,780 --> 01:04:33,020
+باحسب الـ θ احسبوه لحالكم احسبوه الـ θ
+
+599
+01:04:43,650 --> 01:04:51,030
+الآن من الـ sine law من الـ sine law هأحسب الزاوية
+
+600
+01:04:51,030 --> 01:04:59,410
+هأسمي هذه α وهذه
+
+601
+01:04:59,410 --> 01:05:04,930
+هأسميها β
+
+602
+01:05:20,700 --> 01:05:28,040
+هأخذ المثلث الكمرة الـ مثلث AB
+
+603
+01:05:28,040 --> 01:05:36,540
+D ABD هستخدم الـ sine law sine law هيكون عندي الـ
+
+604
+01:05:36,540 --> 01:05:41,680
+sin α على
+
+605
+01:05:41,680 --> 01:05:45,380
+اللي
+
+606
+01:05:45,380 --> 01:05:47,100
+هو AB اللي هو تلت مية
+
+607
+01:05:52,070 --> 01:06:01,850
+بتساوي sin الستين على
+
+608
+01:06:01,850 --> 01:06:05,270
+BD
+
+609
+01:06:05,270 --> 01:06:11,370
+احنا الـ BD بنعرف BD و منها بأحسب الـ α
+
+610
+01:06:11,370 --> 01:06:16,310
+الـ α بتصير معروفة بتحسبوا لي برضه الزاوية α
+
+611
+01:06:18,470 --> 01:06:22,270
+الآن الـ α معروفة و الـ θ معروفة و الـ BD
+
+612
+01:06:22,270 --> 01:06:33,970
+معروفة هأخذ المثلث هأخذ المثلث المثلث
+
+613
+01:06:33,970 --> 01:06:40,350
+BCD BCD
+
+614
+01:06:40,350 --> 01:06:45,790
+برضه هستخدم الـ sine law هيكون عنده sin β
+
+615
+01:06:49,760 --> 01:06:55,480
+على BC بيساوي
+
+616
+01:06:55,480 --> 01:06:59,520
+sin θ على
+
+617
+01:06:59,520 --> 01:07:05,800
+BD و أنا بعرف BC تلت مية وستين ملي و BD
+
+618
+01:07:05,800 --> 01:07:09,980
+already حسبتها جذر تريوتين سوية ألف و الـ θ
+
+619
+01:07:09,980 --> 01:07:18,550
+عرفتها بحسب β صارت β معروفة و α معروفة
+
+620
+01:07:18,550 --> 01:07:22,590
+يعني هذه الزاوية صارت كلها α زي ما هي تم معروفة
+
+621
+01:07:22,590 --> 01:07:27,370
+المعنى أن الزاوية هذه خلينا
+
+622
+01:07:27,370 --> 01:07:32,890
+نسميها Φ الـ
+
+623
+01:07:32,890 --> 01:07:38,990
+Φ الزاوية
+
+624
+01:07:38,990 --> 01:07:44,110
+Φ هتكون
+
+625
+01:07:44,110 --> 01:07:55,120
+تساوي مية وثمانين ناقص ستين درجة ناقص α زائد
+
+626
+01:07:55,120 --> 01:08:07,280
+β عرفنا الـ Φ معناته
+
+627
+01:08:07,280 --> 01:08:12,060
+المثلث أخذنا نسميها دي BCDE
+
+628
+01:08:17,150 --> 01:08:28,350
+الآن المثلث ADE صار معروف فيه تلات زوايا و ضلع
+
+629
+01:08:28,350 --> 01:08:32,770
+معناته أنت ممكن تستخدم الـ sine law عشان توجد الأضلاع
+
+630
+01:
+
+667
+01:13:36,890 --> 01:13:43,640
+crank rotates clockwise تجاه عقارب الساعة، والآن أنا
+
+668
+01:13:43,640 --> 01:13:46,200
+أقدر في list of ten radians per second، أجد في
+
+669
+01:13:46,200 --> 01:13:51,740
+list of slider A، وأنا أقدر في list of connecting
+
+670
+01:13:51,740 --> 01:13:56,840
+rod AB. طيب، أول خطوة بدنا نجد الـ instant centers.
+
+671
+01:13:56,840 --> 01:14:01,600
+أول شيء، أكملينك عندي، بدي أرقمهم. عند الأرض ثابتة هي
+
+672
+01:14:01,600 --> 01:14:08,380
+واحد، هذه
+
+673
+01:14:08,380 --> 01:14:09,700
+واحدة، الأرض ثابتة.
+
+674
+01:14:14,060 --> 01:14:21,820
+وعندي الـ two، هذا الـ link two، وعندي
+
+675
+01:14:21,820 --> 01:14:26,280
+الـ connecting rod، هذا الـ link ثلاثة، وعندي الـ
+
+676
+01:14:26,280 --> 01:14:36,120
+slider، هذا أربعة. يعني عندي طبعًا
+
+677
+01:14:36,120 --> 01:14:38,000
+هم أعطيني اللي هو OB
+
+678
+01:14:44,120 --> 01:14:50,960
+بتساوي 100 مليمتر، ومعطيني
+
+679
+01:14:50,960 --> 01:14:56,300
+AB 400
+
+680
+01:14:56,300 --> 01:15:04,720
+مليمتر، ومعطيني الزاوية 45 درجة في اللحظة
+
+681
+01:15:04,720 --> 01:15:12,940
+هذه. يعني أول شيء برقم اللينكات. عندي الـ link الثابت
+
+682
+01:15:12,940 --> 01:15:15,700
+واحد، والـ crank اثنين، والـ connecting rod ثلاثة، و
+
+683
+01:15:15,700 --> 01:15:19,420
+الـ slider أربعة. معناته عندي number of links N يساوي
+
+684
+01:15:19,420 --> 01:15:24,420
+أربعة. معناته إن number of instant centers سيكون N
+
+685
+01:15:24,420 --> 01:15:29,900
+في N ناقص واحد على اثنين، هيساوي ستة instant
+
+686
+01:15:29,900 --> 01:15:38,100
+centers. سأعمل
+
+687
+01:15:38,100 --> 01:15:38,540
+جدولًا.
+
+688
+01:15:58,410 --> 01:16:04,710
+هي الـ link واحد، اثنين، ثلاثة، أربعة. وهذه الـ instant
+
+689
+01:16:04,710 --> 01:16:12,930
+centers، هي عندي واحد مع اثنين، واحد مع اثنين، واحد
+
+690
+01:16:12,930 --> 01:16:18,050
+مع ثلاثة، واحد مع أربعة. اثنين مع واحد already موجود.
+
+691
+01:16:18,050 --> 01:16:22,270
+اثنين مع ثلاثة، واثنين مع أربعة، ثلاثة مع واحد
+
+692
+01:16:22,270 --> 01:16:25,350
+already موجودة، ثلاثة مع اثنين موجودة، يعني ثلاثة مع
+
+693
+01:16:25,350 --> 01:16:27,870
+أربعة. عند الـ instant centers كلها
+
+694
+01:16:34,480 --> 01:16:37,720
+موجودة. سأعمل دائرة.
+
+695
+01:16:56,050 --> 01:16:59,970
+أول شيء، by inspection I will locate all fixed
+
+696
+01:16:59,970 --> 01:17:08,290
+instant centers. عندي هذه، هذه
+
+697
+01:17:08,290 --> 01:17:20,450
+instant center I12، هذه I12، هذه أصبح معروفًا I12، أصبح
+
+698
+01:17:20,450 --> 01:17:20,930
+معروفًا.
+
+699
+01:17:31,930 --> 01:17:36,930
+الذي هو I واحد اثنين، fixed
+
+700
+01:17:36,930 --> 01:17:44,670
+instant center. فعندي
+
+701
+01:17:44,670 --> 01:17:47,930
+وبعدين بدي أشوف الـ pyramid instant center عندي
+
+702
+01:17:47,930 --> 01:17:56,130
+هنا عندي، هنا I اثنين
+
+703
+01:17:56,130 --> 01:17:56,870
+ثلاثة.
+
+704
+01:18:07,940 --> 01:18:12,920
+اثنين ثلاثة، permanent instant center، هذا اثنين مع
+
+705
+01:18:12,920 --> 01:18:23,500
+ثلاثة، و
+
+706
+01:18:23,500 --> 01:18:26,060
+بعدين هذا بين الـ slider والـ connecting rod، التي
+
+707
+01:18:26,060 --> 01:18:33,680
+هي ثلاثة أربعة، I ثلاثة
+
+708
+01:18:33,680 --> 01:18:34,860
+أربعة.
+
+709
+01:18:49,390 --> 01:18:56,750
+الآن، الـ slider is in pure translation، معناته الـ
+
+710
+01:18:56,750 --> 01:19:05,830
+instant center بتاعه سيكون في infinity، I14
+
+711
+01:19:05,830 --> 01:19:11,630
+at infinity، معناته I14 برضه أصبح معروفًا.
+
+712
+01:19:18,510 --> 01:19:27,590
+تبقى I 13 و I 24. سآخذ
+
+713
+01:19:27,590 --> 01:19:38,630
+link 1 و 2 و 3، الـ link التي حكينا عنها. I 12 fixed
+
+714
+01:19:38,630 --> 01:19:44,570
+و I 34
+
+715
+01:19:44,570 --> 01:19:52,650
+I 23، و I ثلاثة أربعة permanent. طيب،
+
+716
+01:19:52,650 --> 01:20:00,490
+سأستخدم Kennedy's theorem. سآخذ link واحد
+
+717
+01:20:00,490 --> 01:20:07,570
+و اثنين وثلاثة. سيكون لديه instant center I واحد
+
+718
+01:20:07,570 --> 01:20:13,890
+اثنين، و I واحد ثلاثة، و I اثنين ثلاثة. هذه instant
+
+719
+01:20:13,890 --> 01:20:14,530
+centers.
+
+720
+01:20:21,410 --> 01:20:24,390
+سيكون على نفس الاستقامة. عندي link واحد، واثنين، و
+
+721
+01:20:24,390 --> 01:20:28,710
+ثلاثة. هذا واحد، اثنين، وثلاثة. هذا I واحد، و I
+
+722
+01:20:28,710 --> 01:20:30,770
+اثنين ثلاثة. سيكون على نفس الاستقامة، معناته I واحد
+
+723
+01:20:30,770 --> 01:20:35,550
+ثلاثة سيكون أين؟ لو عملت خط بالشكل هذا.
+
+724
+01:20:52,760 --> 01:20:59,000
+بدي آخذ links واحد، وثلاثة، وأربعة links، معناته
+
+725
+01:20:59,000 --> 01:21:03,120
+هنا سيكون على امتداد الخط، خط الـ I واحد ثلاثة جاي على
+
+726
+01:21:03,120 --> 01:21:11,180
+امتداد الخط هذا. سآخذ links واحد، وثلاثة، وأربعة، سيكون
+
+727
+01:21:11,180 --> 01:21:18,320
+عندي I واحد ثلاثة، و I واحد أربعة، و I ثلاثة أربعة.
+
+728
+01:21:21,520 --> 01:21:27,660
+هذا ثلاثة أربعة، وهذا واحد أربعة في النهاية، معناته
+
+729
+01:21:27,660 --> 01:21:32,520
+لو مددت هذا سيكون
+
+730
+01:21:32,520 --> 01:21:35,680
+I واحد ثلاثة برضه واقع هنا، I واحد ثلاثة واقع هنا.
+
+731
+01:21:35,680 --> 01:21:43,280
+معناته هذا يمثل I واحد ثلاثة، معناته I واحد ثلاثة
+
+732
+01:21:43,280 --> 01:21:45,200
+أصبح معروفًا.
+
+733
+01:21:52,680 --> 01:21:58,900
+بقي عندي I اثنين أربعة. I اثنين أربعة، سآخذ link
+
+734
+01:21:58,900 --> 01:22:10,480
+اثنين، وثلاثة، وأربعة links. اثنين
+
+735
+01:22:10,480 --> 01:22:15,360
+وثلاثة وأربعة. طبقًا لـ Kennedy theorem سيكون عندي I
+
+736
+01:22:17,080 --> 01:22:23,400
+I اثنين ثلاثة، و I اثنين أربعة، و I ثلاثة أربعة على نفس
+
+737
+01:22:23,400 --> 01:22:28,280
+الاستقامة. والآن أنت تطلع عليهم. I اثنين ثلاثة هيها
+
+738
+01:22:28,280 --> 01:22:44,340
+و I ثلاثة أربعة هيها. معناته
+
+739
+01:22:44,340 --> 01:22:46,380
+طبقًا لما كانت عليه الـ theorem سيكون عندي
+
+740
+01:22:49,580 --> 01:22:57,320
+I اثنين ثلاثة، و I ثلاثة أربعة، و I اثنين أربعة
+
+741
+01:22:57,320 --> 01:22:59,140
+جائين على خط هذا.
+
+742
+01:23:26,290 --> 01:23:35,290
+سآخذ واحد، واثنين، وأربعة. سآخذ links، links واحد
+
+743
+01:23:35,290 --> 01:23:48,070
+واثنين، وأربعة. سيكون لدي I واحد اثنين، و I اثنين أربعة
+
+744
+01:23:48,070 --> 01:23:54,090
+و I واحد أربعة على نفس الاستقامة.
+
+745
+01:23:57,410 --> 01:24:09,210
+هذا I، هذا I واحد، هذا I واحد اثنين، وعندي I واحد أربعة. I
+
+746
+01:24:09,210 --> 01:24:13,710
+واحد أربعة it goes to infinity، معناته هذا أنا ممكن
+
+747
+01:24:13,710 --> 01:24:20,250
+أنقله هنا. معناته هنا حسينا عندي هنا، هنا
+
+748
+01:24:20,250 --> 01:24:23,850
+عندي I واحد أربعة، ممكن أجيب هنا واحد أربعة at
+
+749
+01:24:23,850 --> 01:24:25,490
+infinity.
+
+750
+01:24:27,320 --> 01:24:31,980
+معناته سيكون عندي I12، و I1، و I24 على نفس الخط هذا.
+
+751
+01:24:31,980 --> 01:24:40,920
+و I24 على نفس الخط هذا. لو مددت الخط هذا، هذا يمثل
+
+752
+01:24:40,920 --> 01:24:49,100
+I24. معناته أنا أجد all the instant centers، هذا
+
+753
+01:24:49,100 --> 01:24:49,840
+المطلوب الأول.
+
+754
+01:24:54,430 --> 01:24:59,130
+طيب، المطلوب الثاني بده... بده سرعة الـ slider عند A.
+
+755
+01:24:59,130 --> 01:25:07,730
+وبده السرعة الزاوية للـ connecting rod AB. سأشتغل
+
+756
+01:25:07,730 --> 01:25:14,170
+قليلًا من geometry الآن.
+
+757
+01:25:14,170 --> 01:25:16,710
+أتطلع عند الزاوية... أنا عندي... عندي هنا مثلث
+
+758
+01:25:16,710 --> 01:25:26,930
+مثلث معروف فيه ضلعان وزاوية. لأن لو نزلت عموديًّا
+
+759
+01:25:26,930 --> 01:25:30,730
+على
+
+760
+01:25:30,730 --> 01:25:38,990
+سميت هذه C. BC
+
+761
+01:25:38,990 --> 01:25:47,130
+BC واقع في المثلث OCB، وبرضه BC واقع في
+
+762
+01:25:47,130 --> 01:25:58,270
+المثلث ACB. لو سميتها في الزاوية في الـ PHY SIN
+
+763
+01:25:58,270 --> 01:26:08,610
+PHY، أو BC، BC
+
+764
+01:26:08,610 --> 01:26:13,630
+بتساوي، لما تكون واقع في المثلث ACB
+
+765
+01:26:15,340 --> 01:26:21,800
+ستكون بتساوي AB في sin φ، يساوي AB في sin
+
+766
+01:26:21,800 --> 01:26:28,920
+الـ φ، وبرضه بتساوي OB في sin 45، يساوي
+
+767
+01:26:28,920 --> 01:26:32,680
+OB في
+
+768
+01:26:32,680 --> 01:26:40,680
+sin 45. معناته الـ AB sin φ
+
+769
+01:26:40,680 --> 01:26:50,820
+ستساوي الـ OB، الذي هو 100، على الـ AB، 400، في
+
+770
+01:26:50,820 --> 01:26:59,620
+sin 45 درجة. ومنها أحسب الـ φ، منها
+
+771
+01:26:59,620 --> 01:27:06,180
+أحسب الـ φ. يعني نصفها، زواياها معروفة.
+
+772
+01:27:15,370 --> 01:27:20,750
+الآن المثلث، خلينا نسميها C، ونسمي هذه النقطة D.
+
+773
+01:27:20,750 --> 01:27:25,750
+المثلث
+
+774
+01:27:25,750 --> 01:27:39,890
+OAD.
+
+775
+01:27:39,890 --> 01:27:42,270
+هذا المثلث
+
+776
+01:27:45,300 --> 01:27:53,480
+OAD قائم الزاوية عند A. هذه 45،
+
+777
+01:27:53,480 --> 01:27:58,760
+معناته هذه ستكون برضه ماذا؟
+
+778
+01:27:58,760 --> 01:27:59,700
+45.
+
+779
+01:28:19,100 --> 01:28:26,680
+طيب، خذ المثلث OBA. أنا أعرف زاوية هذه 45،
+
+780
+01:28:26,680 --> 01:28:31,660
+و هذه الـ φ already حسبتها، معناته هذه
+
+781
+01:28:31,660 --> 01:28:34,300
+الزاوية أقدر أحسبها أم لا أقدر أحسبها؟ هذه أقدر
+
+782
+01:28:34,300 --> 01:28:43,420
+أحسبها. هذه الزاوية سأسميها β، β
+
+783
+01:28:43,420 --> 01:28:47,880
+ستكون تساوي β.
+
+784
+01:28:52,230 --> 01:29:01,050
+ستكون تساوي 180 ناقص 45 ناقص φ
+
+785
+01:29:01,050 --> 01:29:10,130
+التي حسبتها. أصبحت β معروفة. معناته المثلث OBA كل
+
+786
+01:29:10,130 --> 01:29:14,690
+الزوايا معروفة فيه، وفي ضلعين معروفين.
+
+787
+01:29:16,880 --> 01:29:20,280
+معناته أما أستخدم الـ Sin Law أو الـ Cos Law لكي
+
+788
+01:29:20,280 --> 01:29:28,900
+أحسب الـ OA. لو استخدمت الـ Cos Law، إذا بدي أستخدم
+
+789
+01:29:28,900 --> 01:29:38,120
+الـ Sin Law أسهل، أحكي أن OA على
+
+790
+01:29:38,120 --> 01:29:44,460
+Sin β يساوي
+
+791
+01:29:44,460 --> 01:29:44,880
+AB
+
+792
+01:29:49,130 --> 01:29:55,250
+على sin 45. يعني الـ OA الذي أنا بدي
+
+793
+01:29:55,250 --> 01:30:06,130
+أحسبه، OA ستساوي AB، الذي هو 400، في sin
+
+794
+01:30:06,130 --> 01:30:13,230
+β على sin 45. معناته OA أصبح معروفًا.
+
+795
+01:30:13,230 --> 01:30:17,830
+عندي OA أصبح معروفًا.
+
+796
+01:30:30,630 --> 01:30:43,390
+طيب، الآن طالما OA معروف، والمثلث OAD قائم
+
+797
+01:30:43,390 --> 01:30:48,970
+الزاوية، المثلث O
+
+798
+01:30:50,880 --> 01:31:02,780
+AD قائم الزاوية عند A. معناته OD تربيع
+
+799
+01:31:02,780 --> 01:31:06,780
+ستكون
+
+800
+01:31:06,780 --> 01:31:16,580
+تساوي OA تربيع زائد AD تربيع. ونحن نعرف هذا
+
+801
+01:31:16,580 --> 01:31:18,320
+45، 45، 45، 45
+
+802
+01:31:18,320 --> 01:31:18,560
+45، 45، 45، 45
+
+803
+01:31:18,560 --> 01:31:19,080
+45، 45، 45، 45
+
+804
+01:31:19,080 --> 01:31:21,020
+45، 45، 45، 45
+
+805
+01:31:21,020 --> 01:31:25,080
+45، 45، 45، 45
+
+806
+01:31:25,080 --> 01:31:36,120
+45، 45، 45، 45
+
+807
+01:31:36,120 --> 01:31:44,660
+45، 45، 45
+
+808
+01:31:48,090 --> 01:31:55,790
+ستساوي OD الذي حسبته، ناقص OB، الذي هو 100.
+
+809
+01:31:55,790 --> 01:32:04,870
+تعوضه، وتحسبه. بـ D الذي
+
+810
+01:32:04,870 --> 01:32:13,350
+هو السرعة الزاوية للـ crank، عشرة radians clockwise.
+
+811
+01:32:13,350 --> 01:32:15,590
+ممكن أحسب سرعة النقطة B.
+
+812
+01:32:22,480 --> 01:32:32,300
+VB، VB عمودية على OB. VB، VB
+
+813
+01:32:32,300 --> 01:32:37,080
+لما تكون واقع على الـ crank، التي هي OB، تكون تساوي
+
+814
+01:32:37,080 --> 01:32:44,820
+ω2، هي سرعة الـ crank في OB، تساوي
+
+815
+01:32:46,740 --> 01:32:51,320
+إذا اعتبرت النقطة B واقع على الـ Connecting Rod AB
+
+816
+01:32:51,320 --> 01:32:57,240
+ستكون تساوي ω3، التي هي السرعة الزاوية للـ
+
+817
+01:32:57,240 --> 01:33:02,860
+Connecting Rod في BD.
+
+818
+01:33:02,860 --> 01:33:15,240
+معناته ω3 ستكون تساوي ω2 في AB على
+
+819
+01:33:26,040 --> 01:33:34,120
+BD. طيب، الآن
+
+820
+01:33:34,120 --> 01:33:37,580
+واضح
+
+821
+01:33:37,580 --> 01:33:40,340
+أنه counter clockwise.
+
+822
+01:33:45,230 --> 01:33:52,930
+ستكون في اللحظة هذه، ستكون VA، VA
+
+823
+01:33:52,930 --> 01:33:58,290
+سرعة الـ slider A. ممكن أعتبر واقع على الـ slider، و
+
+824
+01:33:58,290 --> 01:34:00,650
+ممكن أعتبر واقع على الـ connecting rod. إذا كانت واقع على الـ
+
+825
+01:34:00,650 --> 01:34:09,190
+connecting rod، ستكون تساوي ω3 في AD.
+
+826
+01:34:09,190 --> 01:34:12,710
+D.
+
+827
+01:34:21,380 --> 01:34:25,980
+طبعًا ω3 already حسبناها، و OD و AD حسبناها.
+
+828
+01:34:25,980 --> 01:34:30,460
+التي هي OA already حسبناها، ومنها أحسب اللي هو
+
+829
+01:34:30,460 --> 01:34:44,180
+سرعة الـ slider VA. طبعًا جاي باتجاه اليمين. طيب،
+
+830
+01:34:44,180 --> 01:34:45,600
+نحّل مثالًا آخر.
+
+831
+01:35:17,860 --> 01:35:35,080
+عندي ميكانيزم، معطيني الأطوال OA و AB و BC و CD و BA
+
+832
+01:35:35,080 --> 01:35:41,420
+والارتفاع هذا. معطيني كل الأطوال. عند الكرانك OA
+
+833
+01:35:41,420 --> 01:35:48,560
+هذا، الكرانك OA يدور بسرعة زاوية منتظمة باتجاه عكس
+
+834
+01:35:48,560 --> 01:35:54,540
+عقارب الساعة، بـ 120 rpm. بدنا، يعني أهم شيء بدي
+
+835
+01:35:54,540 --> 01:35:57,540
+أعمل... بدي أركز أنا how to locate الـ instant
+
+836
+01:35:57,540 --> 01:36:02,360
+centers. I want to locate الـ instant centers لهذه
+
+837
+01:36:02,360 --> 01:36:06,200
+الـ mechanism. أول
+
+838
+01:36:06,200 --> 01:36:11,360
+شيء، بدي أرقم الـ link، يعني هذا الـ link رقم واحد الذي
+
+839
+01:36:11,360 --> 01:36:17,030
+هو الأرض. عندي هذا الـ link رقم اثنين، التي هي OA. عندي
+
+840
+01:36:17,030 --> 01:36:28,330
+AB link رقم ثلاثة، عندي BC link رقم أربعة، عندي CD
+
+841
+01:36:28,330 --> 01:36:37,330
+link رقم خمسة، وعندي الـ slider link رقم ستة. وهذا الـ
+
+842
+01:36:37,330 --> 01:36:47,180
+link رقم... ومعناته أنا عندي ستة links، عندي n يساوي
+
+843
+01:36:47,180 --> 01:36:51,000
+ستة. معناته number of instant centers سيكون يساوي n
+
+844
+01:36:51,000 --> 01:36:58,060
+في n ناقص واحد، هيساوي ستة في خمسة على اثنين. طبعًا
+
+845
+01:36:58,060 --> 01:37:04,320
+سيخرج خمسة عشر instant center. خمسة عشر instant
+
+846
+01:37:04,320 --> 01:37:06,760
+center. الآن
+
+847
+01:37:09,100 --> 01:37:12,760
+الآن، سيكون فيها تفاصيل. الآن عندي هذا الـ
+
+848
+01:37:12,760 --> 01:37:21,840
+instant centers عندي.
+
+
+889
+01:42:10,810 --> 01:42:18,750
+وتلاتة أي واحد أربعة وأي واحد تلاتة وأي تلاتة
+
+890
+01:42:18,750 --> 01:42:22,310
+أربعة هيكونوا على نفس الاستقبال أنا عند أي تلاتة
+
+891
+01:42:22,310 --> 01:42:28,140
+أربعة وI14 معناته هيكون عندي هنا لو مديت هذا الخط
+
+892
+01:42:28,140 --> 01:42:32,660
+هكون
+
+893
+01:42:32,660 --> 01:42:41,820
+I13 واقع الخط هذا وواقع الخط معناته هذه تمثل I13
+
+894
+01:42:41,820 --> 01:42:48,960
+عرفنا I13 I13
+
+895
+01:43:11,070 --> 01:43:20,970
+لو خدت link أربعة و.. خدنا نشوف مين أوجد في الأول
+
+896
+01:43:20,970 --> 01:43:28,310
+عند اتنين أربعة هاخد
+
+897
+01:43:28,310 --> 01:43:34,450
+link links أنا
+
+898
+01:43:34,450 --> 01:43:41,240
+بدي أعرف واحد خمسة هاخد واحد وأربعة وخمسة ال
+
+899
+01:43:41,240 --> 01:43:47,740
+links واحد وأربعة وخمسة هيكون دي I واحد أربعة و
+
+900
+01:43:47,740 --> 01:43:54,460
+I واحد خمسة وI أربعة خمسة يعني دي I واحد أربعة I
+
+901
+01:43:54,460 --> 01:44:00,860
+I واحد أربعة وهاي I أربعة خمسة I واحد خمسة هيكون
+
+902
+01:44:00,860 --> 01:44:09,880
+هاي I واحد خمسة على الخط هذا الواقع، بعدين هاخد
+
+903
+01:44:09,880 --> 01:44:16,400
+links links واحد
+
+904
+01:44:16,400 --> 01:44:25,240
+وخمسة وستة هكون عندي I واحد خمسة وI واحد ستة و
+
+905
+01:44:25,240 --> 01:44:31,520
+I خمسة ستة واقعين على نفس الخط الآن هاي I واحد ستة
+
+906
+01:44:31,520 --> 01:44:32,720
+وI خمسة ستة همد
+
+907
+01:44:37,090 --> 01:44:42,410
+هكون عندي معناته هد هن هكون أي واحد خمسة معناته هي
+
+908
+01:44:42,410 --> 01:44:50,750
+أي واحد خمسة جاي على التقطع هي أي واحد خمسة هي
+
+909
+01:44:50,750 --> 01:44:56,130
+خلصنا من هد أي
+
+910
+01:44:56,130 --> 01:45:07,370
+واحد خمسة خلينا نشوف الـأي اتنين أربعة هاخد links
+
+911
+01:45:07,370 --> 01:45:10,990
+links
+
+912
+01:45:10,990 --> 01:45:16,130
+124
+
+913
+01:45:16,130 --> 01:45:25,010
+هيكون عندي I12 وI14 وI24 على نفس الاستقامة هي
+
+914
+01:45:25,010 --> 01:45:33,670
+I12 هي I12 وهي I14 معناته أن I24 وقع على الخط هذا
+
+915
+01:45:37,450 --> 01:45:52,390
+واقع على الخط هذا بتاخد
+
+916
+01:45:52,390 --> 01:45:56,630
+links اتنين
+
+917
+01:45:56,630 --> 01:46:03,690
+وثلاتة وأربعة هكون دي I اتنين تلاتة وI اتنين
+
+918
+01:46:03,690 --> 01:46:08,140
+أربعة وI تلاتة أربعة واقعين على نفس الخط الآن عندي هاي
+
+919
+01:46:08,140 --> 01:46:13,440
+I اتنين تلاتة وهاي I تلاتة أربعة معناته I اتنين
+
+920
+01:46:13,440 --> 01:46:22,480
+أربعة هيكون واقع الخط هذا معناته هذا I اتنين أربعة
+
+921
+01:46:22,480 --> 01:46:30,380
+أعرفني I اتنين أربعة بدي
+
+922
+01:46:30,380 --> 01:46:39,020
+أعرف I اتنين خمسة هاخد الـLength واحد
+
+923
+01:46:39,020 --> 01:46:45,420
+واتنين وخمسة هيكون عندي I واحد اتنين وI واحد
+
+924
+01:46:45,420 --> 01:46:51,120
+خمسة وI اتنين خمسة على نفس الاستقامة I واحد اتنين
+
+925
+01:46:51,120 --> 01:46:55,160
+هي I واحد اتنين وI واحد خمسة هي
+
+926
+01:47:06,410 --> 01:47:25,690
+هيكون أي و أي اتنين وخمسة واقعين على نفس الخط هاخد
+
+927
+01:47:25,690 --> 01:47:26,170
+links
+
+928
+01:47:29,540 --> 01:47:37,540
+اتنين وأربعة وخمسة هكذا عند I اتنين أربعة وI
+
+929
+01:47:37,540 --> 01:47:47,340
+أربعة خمسة وI اتنين خمسة واقعين على نفس الخط الآن
+
+930
+01:47:47,340 --> 01:47:54,060
+عندي I اتنين أربعة هيو و
+
+931
+01:47:54,060 --> 01:47:57,880
+I أربعة خمسة هيو
+
+932
+01:48:00,840 --> 01:48:07,480
+وI 2 الخمسة معناته لو وصلت هدول و
+
+933
+01:48:07,480 --> 01:48:11,520
+مديت معناته I 2 الخمسة هكون واقع الخط هذا وواقع
+
+934
+01:48:11,520 --> 01:48:20,880
+الخط معناته هذا I هذا I 2 خمسة معناته I 2 الخمسة
+
+935
+01:48:20,880 --> 01:48:21,780
+صار معروف عنها
+
+936
+01:48:29,990 --> 01:48:39,010
+بنجيب أي اتنين ستة هاخد links واحد
+
+937
+01:48:39,010 --> 01:48:45,210
+واتنين وستة هكون عندي أي واحد اتنين وأي واحد
+
+938
+01:48:45,210 --> 01:48:50,910
+ستة وأي اتنين ستة واقيم على نفس الخط الآن هاي أي
+
+939
+01:48:50,910 --> 01:48:58,450
+واحد اتنين أي واحد ستة ممكن أنقله هنا هاي أي واحد
+
+940
+01:48:58,450 --> 01:48:59,170
+ستة كمان
+
+941
+01:49:11,430 --> 01:49:14,810
+وأية اتنين ستة طبعا آية اتنين ستة هيكون ملاقية
+
+942
+01:49:14,810 --> 01:49:22,430
+على نفس الخط هذا الآن هاخد link
+
+943
+01:49:22,430 --> 01:49:27,970
+links
+
+944
+01:49:27,970 --> 01:49:32,430
+اتنين
+
+945
+01:49:32,430 --> 01:49:41,170
+وستة اتنين وثلاتة اتنين وثلاتة
+
+946
+01:49:46,490 --> 01:49:58,210
+واتنين وخمسة وستة اتنين وخمسة وستة هيكون عندي
+
+947
+01:49:58,210 --> 01:50:06,150
+I اتنين خمسة وI اتنين ستة وI خمسة ستة على نفس
+
+948
+01:50:06,150 --> 01:50:12,350
+الاستقامة I اتنين خمسة هاي I اتنين خمسة وعندي I
+
+949
+01:50:12,350 --> 01:50:27,220
+خمسة ستة وين I خمسة ستة اللي هو هذا خدونا نوصلهم و
+
+950
+01:50:27,220 --> 01:50:39,280
+مد هذا هتكون I 26 هخلصهم
+
+951
+01:50:39,280 --> 01:50:40,140
+I 26
+
+952
+01:50:47,940 --> 01:50:55,520
+اللي أنا هشوف تلاتة خمسة هاخد links واحد
+
+953
+01:50:55,520 --> 01:51:04,000
+وثلاتة وخمسة هيكون عندي I13 وI15 وI35 على نفس
+
+954
+01:51:04,000 --> 01:51:13,020
+الاستقامة أنا عند I13 هيها و
+
+955
+01:51:13,020 --> 01:51:15,980
+I15 هيها
+
+956
+01:51:18,430 --> 01:51:21,470
+معناته هتكون I تلاتة خمسة واقع على الخط هذا I
+
+957
+01:51:21,470 --> 01:51:28,350
+تلاتة خمسة برضه
+
+958
+01:51:28,350 --> 01:51:33,630
+I تلاتة خمسة واقع على الخط هذا هاخد
+
+959
+01:51:33,630 --> 01:51:42,490
+بعدين links اتنين
+
+960
+01:51:42,490 --> 01:51:52,180
+وثلاتة وخمسة هكون عندي I اتنين تلاتة وآية تلاتة
+
+961
+01:51:52,180 --> 01:52:04,760
+خمسة وآية .. آية اتنين تلاتة وآية اتنين خمسة
+
+962
+01:52:04,760 --> 01:52:12,040
+لأن آية اتنين تلاتة already هي آية اتنين تلاتة
+
+963
+01:52:16,580 --> 01:52:21,140
+ وآية تلاتة خمسة اللي أنا مش عارفها وآية اتنين
+
+964
+01:52:21,140 --> 01:52:30,060
+خمسة هاي آية اتنين خمسة آية
+
+965
+01:52:30,060 --> 01:52:33,460
+اتنين خمسة وآية اتنين تلاتة
+
+966
+01:52:40,220 --> 01:52:44,120
+هيكون I تلاتة خمسة متقاطعة أنا الرسم مش دقيق
+
+967
+01:52:44,120 --> 01:52:48,820
+فهتبين معناته الآن بنفس الطريقة.. بنفس الطريقة لأن
+
+968
+01:52:48,820 --> 01:52:54,380
+أنا كررتها كتير بحسب I تلاتة ستة وI أربعة ستة الآن
+
+969
+01:52:54,380 --> 01:52:56,960
+هتشوفوا الحل هنا جاهز complete
+
+970
+01:53:13,300 --> 01:53:18,640
+هاي كل الـincense centers هاي عندي
+
+971
+01:53:18,640 --> 01:53:33,540
+I12 I.. I12 I13 I14 I15 I1.. I1 تبقى في نقمة
+
+972
+01:53:33,540 --> 01:53:41,120
+النهاية فعندي I23 I24
+
+973
+01:53:42,290 --> 01:53:50,550
+هو I اتنين خمسة وين I اتنين خمسة مش
+
+974
+01:53:50,550 --> 01:53:54,870
+مبينة هنا أنهم بتتبعوا هذا الحل كامل أنا وضحت كذا
+
+975
+01:53:54,870 --> 01:54:03,170
+مرة المحاضرة الجاية بنكمل في chapter جديد اللي هو
+
+976
+01:54:03,170 --> 01:54:04,330
+simple mechanisms
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/seh-GJGlwHc_postprocess.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/seh-GJGlwHc_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0b378ea692029aff11edb27258068a16d5f2a636
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/seh-GJGlwHc_postprocess.srt
@@ -0,0 +1,3904 @@
+1
+00:00:05,030 --> 00:00:07,950
+السلام عليكم و رحمة الله و بركاته بسم الله الرحمن
+
+2
+00:00:07,950 --> 00:00:12,310
+الرحيم اليوم هنبدأ شبتر جديد في مادة نظرية الألات
+
+3
+00:00:12,310 --> 00:00:16,490
+theoretical machines موضوع الشبتر هتكون إيجاد أو
+
+4
+00:00:16,490 --> 00:00:21,290
+حساب الصراعات للآليات باستخدام ال instant center
+
+5
+00:00:21,290 --> 00:00:26,730
+method طبعا
+
+6
+00:00:26,730 --> 00:00:32,730
+احنا في شبتر سابق او في ال dynamica درسناحساب
+
+7
+00:00:32,730 --> 00:00:38,630
+الصراعات باستخدام relative motion method وعملنا
+
+8
+00:00:38,630 --> 00:00:43,830
+مراجعة سريعة لل relative motion method برضه في ال
+
+9
+00:00:43,830 --> 00:00:47,870
+theory machines اليوم هنقط بعض التفاصيل الإضافية
+
+10
+00:00:47,870 --> 00:00:51,890
+في طريقة ال instance center method طبعا اذا انا
+
+11
+00:00:51,890 --> 00:00:56,310
+عندى اي جسم بتحرك general plan motion حركة عامة
+
+12
+00:00:57,440 --> 00:01:03,520
+يعني اذا الجسم عندي كان .. هاي الجسم كان هنا و صار
+
+13
+00:01:03,520 --> 00:01:09,340
+.. صار في الموقع هذا الان
+
+14
+00:01:09,340 --> 00:01:15,080
+واضح انه صار انتقال للجسم من هذا ال position لهذا
+
+15
+00:01:15,080 --> 00:01:19,860
+ال position و واضح انه صار له rotation يعني هو مش
+
+16
+00:01:19,860 --> 00:01:26,250
+انتقله بس انتقلانتقل وصار له rotation انا عملت
+
+17
+00:01:26,250 --> 00:01:34,470
+الانتقال ممكن اجزئها لمراحل هاي المحاور XY يعني
+
+18
+00:01:34,470 --> 00:01:43,870
+الجسم في البداية كان هنا ممكن احركه بال X مسافة
+
+19
+00:01:48,540 --> 00:01:58,320
+و بعدين في ال Y كمان مسافة فصار هنا بعدين
+
+20
+00:01:58,320 --> 00:02:08,080
+اعمل ال rotation عشان
+
+21
+00:02:08,080 --> 00:02:14,880
+نستيقظ في الوضع الجديد هذا معناته انا استطعت انه
+
+22
+00:02:14,880 --> 00:02:24,210
+الحركة اجزقهاالحركة باتجاه ال X بعدين ال Y بعدين
+
+23
+00:02:24,210 --> 00:02:25,190
+ال rotation يعني
+
+24
+00:02:30,030 --> 00:02:34,390
+بعدين rotation طبعا على أرض الواقع مايصير الحركة
+
+25
+00:02:34,390 --> 00:02:38,290
+مجتزة الحركة بيصير يعني بيكون يمشي في ال X و ال Y
+
+26
+00:02:38,290 --> 00:02:42,950
+و يدور في نفس الوقت يعني بيكون الحركة متواصلة من
+
+27
+00:02:42,950 --> 00:02:48,130
+الحركة في المحور يعني X و Y زاد الدوران لحد مايصل
+
+28
+00:02:48,130 --> 00:02:58,740
+ال position النهائي الآن عندى مبين هنا جسم ABانتقل
+
+29
+00:02:58,740 --> 00:03:04,840
+او صار في الوضع الجديد a1b1 طبعا انا حكينا ان
+
+30
+00:03:04,840 --> 00:03:09,700
+الحركة بيكون اجزئها مرحلتين المرحل الأول ان بنتقل
+
+31
+00:03:09,700 --> 00:03:15,680
+من هنا لهنا اول مرحلة بيصير
+
+32
+00:03:15,680 --> 00:03:22,980
+الجسم هنا بعدين بعمل ال rotation عشان اوصل للوضع
+
+33
+00:03:22,980 --> 00:03:30,460
+النهائي او اوفي الأول يعني مكان الجسم عندي هين
+
+34
+00:03:30,460 --> 00:03:34,340
+بعمله
+
+35
+00:03:34,340 --> 00:03:41,480
+rotation عشان أصل ال position هذا بعدين بعمله ال
+
+36
+00:03:41,480 --> 00:03:46,620
+translation عشان أصل الوضع النهائي
+
+37
+00:03:55,460 --> 00:04:00,060
+الان الحركة المركبة المكونة من ال rotation و ال
+
+38
+00:04:00,060 --> 00:04:09,060
+translation لل link AB ممكن اعتبرها لحظيا كأنها
+
+39
+00:04:09,060 --> 00:04:15,080
+حركة دورانية حوالين محور ما او مركز ما بسميه ال
+
+40
+00:04:15,080 --> 00:04:17,060
+instance center of rotation معناه ال combined
+
+41
+00:04:17,060 --> 00:04:22,100
+motion في عندي translationor rotation ممكن اعتبرها
+
+42
+00:04:22,100 --> 00:04:27,800
+as one rotation motion about instant center مركز
+
+43
+00:04:27,800 --> 00:04:33,440
+دوران لحظي بتغير من لحظة للحظة خاني اعطي بعض
+
+44
+00:04:33,440 --> 00:04:39,680
+المفاهيم الان ال
+
+45
+00:04:39,680 --> 00:04:45,240
+instant center of a moving body مركز الدوران
+
+46
+00:04:45,240 --> 00:04:50,940
+اللحظي لجسم متحركهو the center which keeps it
+
+47
+00:04:50,940 --> 00:04:53,820
+changing from one instant to another هو مركز
+
+48
+00:04:53,820 --> 00:04:58,980
+الدوران اللي موقعه بتغير بين لحظة و اخرى يعني الان
+
+49
+00:04:58,980 --> 00:05:01,640
+موقعه مش ثابت مدورش مثلا زي مروحة بتدور عندى
+
+50
+00:05:01,640 --> 00:05:07,060
+محورها ثابت لأ لأن في عندي rotation و translation
+
+51
+00:05:07,060 --> 00:05:14,220
+حيصير ان موقع مركز الدوران بتغير من نقطة لنقطة
+
+52
+00:05:14,220 --> 00:05:17,400
+الcentraude
+
+53
+00:05:18,730 --> 00:05:23,050
+هو ال locus of all instant centers الان اذا انا
+
+54
+00:05:23,050 --> 00:05:27,750
+تتبعت مواقع مراكز الدوران اللحظية اللي تتغير من
+
+55
+00:05:27,750 --> 00:05:31,690
+لحظة للحظة و عملت و وصلت بينها curve بحصل على ما
+
+56
+00:05:31,690 --> 00:05:38,590
+يسمى ال centroid في عند ال instantaneous axis محور
+
+57
+00:05:38,590 --> 00:05:45,450
+الدوران اللحظي محور الدوران اللحظي هو عمودي هو خط
+
+58
+00:05:45,450 --> 00:05:52,490
+بيكونخط بيمر بمركز دوران اللحظة و بيكون عمودي على
+
+59
+00:05:52,490 --> 00:05:57,090
+مستوى الحركة معناته محور الدوران اللحظة هو خط بيمر
+
+60
+00:05:57,090 --> 00:06:02,090
+في مركز الدوران اللحظة و بيكون عمودي على مستوى
+
+61
+00:06:02,090 --> 00:06:04,870
+الحركة اذا الجسم بتحرك بهذا المستوى هكون ال axis
+
+62
+00:06:04,870 --> 00:06:06,230
+عمودي عليه
+
+63
+00:06:09,190 --> 00:06:12,970
+أكسود هو الـ locus of this axis لأن الـ axis كان
+
+64
+00:06:12,970 --> 00:06:15,930
+عندي، عند النقطة هذه، بعدين صار هنا، ثانية هنا،
+
+65
+00:06:15,930 --> 00:06:21,190
+بتغير، هذا هيعمللي surface ال lines تجميعها مع
+
+66
+00:06:21,190 --> 00:06:31,610
+بعض، بيعمللي surface، بسمي الـ axiod الآن
+
+67
+00:06:31,610 --> 00:06:36,630
+في مصطلحين اجداد، في ما يسمى ال spaceو ال body
+
+68
+00:06:36,630 --> 00:06:44,410
+centrois ال space و ال body centrois خلّيني
+
+69
+00:06:44,410 --> 00:06:51,990
+أخد مثال بسيط عندى مستوى أفقه
+
+70
+00:06:51,990 --> 00:06:58,650
+و
+
+71
+00:06:58,650 --> 00:07:02,230
+فيه دلاب فيه دلاب
+
+72
+00:07:06,390 --> 00:07:13,730
+بتدهرج على هذا المستوى في اللحظة هذه هذا هو ال
+
+73
+00:07:13,730 --> 00:07:19,990
+instant center Instant Center بعد شوية بتدهرج حصير
+
+74
+00:07:19,990 --> 00:07:20,690
+الدولاب هنا
+
+75
+00:07:23,980 --> 00:07:26,780
+برضه هذا هو ال instant center الجديد هذا مركز
+
+76
+00:07:26,780 --> 00:07:30,860
+دوران لحظة الجديد طبعا عند ال instant center بتكون
+
+77
+00:07:30,860 --> 00:07:35,640
+ال common point او السرعة .. السرعة .. سرعة النقطة
+
+78
+00:07:35,640 --> 00:07:38,600
+هذه ال instant center بتكون السرعة ده بيساوي zero
+
+79
+00:07:38,600 --> 00:07:45,040
+بعد لحظة زمني بعد فترة زمني معينة هيصير دولاب هنا
+
+80
+00:07:45,040 --> 00:07:49,580
+ما انها تتغير موقع ال instant center
+
+81
+00:07:52,410 --> 00:08:12,850
+بعد شوية هالصير هنا الان
+
+82
+00:08:12,850 --> 00:08:19,280
+الif I trace تتبعت مراكز الدوران اللحظي هتكون نفس
+
+83
+00:08:19,280 --> 00:08:22,160
+المستوى اللي بتدحرج عليه الدولاب معناته هذا
+
+84
+00:08:22,160 --> 00:08:29,220
+المستوى اللي بتدحرج عليه الدولاب هو هيكون كل ال
+
+85
+00:08:29,220 --> 00:08:34,660
+instant centers واقع عليه هذا
+
+86
+00:08:34,660 --> 00:08:41,400
+بسميه ال space centroid
+
+87
+00:08:45,270 --> 00:08:56,190
+طيب الجسم هنا الجسم هنا شكله مدور لو ثبتت الدولاب
+
+88
+00:08:56,190 --> 00:09:07,210
+لو ثبتت الدولاب و
+
+89
+00:09:07,210 --> 00:09:12,570
+بدأت ادحرج اعتبر هذا مصدر ادحرج ال space centroid
+
+90
+00:09:17,160 --> 00:09:23,160
+هذا الثابت بدأت ادحرجه على الدائرة بعد شوية هسير
+
+91
+00:09:23,160 --> 00:09:31,140
+هاي الموضوع بعد شوية هاي الموضوع بعد شوية هاي
+
+92
+00:09:31,140 --> 00:09:38,420
+الموضوع بعد شوية هاي الموضوع و هكذا الان انا اذا
+
+93
+00:09:38,420 --> 00:09:45,840
+باخد النقطة ده هي نقطةتنتين whatever تلاتة أربعة
+
+94
+00:09:45,840 --> 00:09:51,600
+خمسة فى عندي عدد لانه نقاط النقاط هذه هيمر فيها
+
+95
+00:09:51,600 --> 00:09:58,480
+دائرة النقاط هذه هيمر فيها دائرة الدائرة هذه بتمثل
+
+96
+00:09:58,480 --> 00:09:59,880
+شكل الدولاب
+
+97
+00:10:03,360 --> 00:10:09,080
+هذه هي .. بسأل .. الآن شكل الدولاب بالنسبة للمستوى
+
+98
+00:10:09,080 --> 00:10:12,280
+الأفقي إذا ثبتت الدولاب و ده أحرجتها للمستوى
+
+99
+00:10:12,280 --> 00:10:18,900
+الأفقي بسميه ال body centroid
+
+100
+00:10:18,900 --> 00:10:23,680
+الآن
+
+101
+00:10:23,680 --> 00:10:30,380
+لاحظوا معناته هذا هو ال body centroid
+
+102
+00:10:33,200 --> 00:10:40,260
+لحظوا ان ال body centroid rolls over ال space
+
+103
+00:10:40,260 --> 00:10:47,240
+centroid ال body centroid rolls over ال space
+
+104
+00:10:47,240 --> 00:10:51,880
+centroid و ال space centroid هو ال locus of all
+
+105
+00:10:51,880 --> 00:10:57,900
+instant centers of this body اللي هو الدولابال
+
+106
+00:10:57,900 --> 00:11:03,520
+body centroid هو ال locus of all instance centers
+
+107
+00:11:03,520 --> 00:11:10,320
+لل .. لل space centroid if we fix ال body centroid
+
+108
+00:11:10,320 --> 00:11:13,500
+او if we fix the moving body اذا .. اذا ثبتنا
+
+109
+00:11:13,500 --> 00:11:20,980
+الجسم المتحرك و .. و .. و ده حرجت او حركت ال space
+
+110
+00:11:20,980 --> 00:11:28,230
+centroid بالنسبة للجسم هحصل علىنقاط إذا برسم بينها
+
+111
+00:11:28,230 --> 00:11:31,210
+curve الكرفة ده هيكون دائرة اللي هو نفس ال body
+
+112
+00:11:31,210 --> 00:11:34,430
+centroid بيعناته ال body centroid rolls over
+
+113
+00:11:34,430 --> 00:11:42,390
+without slipping the space centroid طيب، بدأ أخد
+
+114
+00:11:42,390 --> 00:11:43,030
+حالة تانية
+
+115
+00:11:52,600 --> 00:11:57,700
+أنا أخدت المستوى أفقي بدي أخد كأنه أنا في منطقة
+
+116
+00:11:57,700 --> 00:12:07,620
+جبلية وهي
+
+117
+00:12:07,620 --> 00:12:13,780
+الدولاب بدأت من النقطة هذه في
+
+118
+00:12:13,780 --> 00:12:20,830
+اللحظة هذه هي ال instant centerالان الدولاب ده
+
+119
+00:12:20,830 --> 00:12:28,030
+هيتدحرج على هذا الطريق بعد شوية هصير
+
+120
+00:12:28,030 --> 00:12:34,310
+هنا هاي ال instant center بعد شوية هاي ال instant
+
+121
+00:12:34,310 --> 00:12:42,190
+center بعد شوية هاي ال new instant center بستمر في
+
+122
+00:12:42,190 --> 00:12:48,750
+التدحرجhigh new instant center بستمر في التدحرج
+
+123
+00:12:48,750 --> 00:12:59,350
+high instant center طبعا هذا ايش ثابت لاحظوا
+
+124
+00:12:59,350 --> 00:13:08,530
+ال locus of all instant centers of this body واقع
+
+125
+00:13:08,530 --> 00:13:21,770
+على الطريق معناته هذا بسميهالـ Space Centroid هذا
+
+126
+00:13:21,770 --> 00:13:24,570
+الـ Space Centroid بالنسبة للدولاب الـ Space
+
+127
+00:13:24,570 --> 00:13:30,110
+Centroid بالنسبة للدولاب الأن
+
+128
+00:13:30,110 --> 00:13:38,110
+لو أخدت الدولاب و ثبته و
+
+129
+00:13:38,110 --> 00:13:42,090
+أدحرج الطريقة يعني بديت أنا من هنا هذه الطريقة
+
+130
+00:13:50,040 --> 00:13:58,940
+بعدين صرت ادحرج الطريق يعني هذا ثابت هحصل
+
+131
+00:13:58,940 --> 00:14:06,880
+للطريق مركز دولة ناحظوا هاي واحد هيكون مركز تلاتة
+
+132
+00:14:06,880 --> 00:14:12,600
+اربعة خمس مركز اذا رسمت عمل care fitبين هذه النقاط
+
+133
+00:14:12,600 --> 00:14:16,940
+بحصل على الدولاب بحصل على الدولاب معناته الدولاب
+
+134
+00:14:16,940 --> 00:14:25,700
+هو ال body centroid لاحظوا
+
+135
+00:14:25,700 --> 00:14:34,080
+الدولاب rolls without slipping over the road
+
+136
+00:14:34,080 --> 00:14:44,430
+معناته ال body centroid bodycentraude اللي هو ال
+
+137
+00:14:44,430 --> 00:14:51,470
+wheel أو الدولاب rolls without
+
+138
+00:14:51,470 --> 00:14:55,110
+slipping
+
+139
+00:14:55,110 --> 00:14:58,130
+بدون
+
+140
+00:14:58,130 --> 00:15:05,850
+انزلاق over the space centraude
+
+141
+00:15:07,690 --> 00:15:14,730
+اللي هو في الحالة هذه إيش الطريق ال road؟معناته
+
+142
+00:15:14,730 --> 00:15:18,950
+من المثالين هدول المفروض واضحة بالنسبة لنا إيش
+
+143
+00:15:18,950 --> 00:15:26,030
+الفرق بين ال space centroid و ال body centroid
+
+144
+00:15:26,030 --> 00:15:30,990
+اللي احنا في بداية المحاضرة حكينا إنه في أكتر من
+
+145
+00:15:30,990 --> 00:15:37,000
+طريقة لحسابالـ velocity of a point on a link أحد
+
+146
+00:15:37,000 --> 00:15:40,100
+الطرق اللي هي relative velocity method والطريقة
+
+147
+00:15:40,100 --> 00:15:43,620
+اللي احنا بيصددها الآن هي ال instance center
+
+148
+00:15:43,620 --> 00:15:48,420
+method احنا الآن بيصدد ال instance center method
+
+149
+00:15:48,420 --> 00:16:00,620
+الآن في ميكانزم في أي ميكانزم يعني
+
+150
+00:16:00,620 --> 00:16:06,490
+مثلاالواخرات four bar linkage mechanism four bar
+
+151
+00:16:06,490 --> 00:16:13,210
+linkage mechanism هذه ها
+
+152
+00:16:13,210 --> 00:16:20,450
+هذه
+
+153
+00:16:20,450 --> 00:16:24,250
+four bar linkage
+
+154
+00:16:24,250 --> 00:16:28,910
+mechanism الأرض link رقم واحد هذه link رقم اتنين
+
+155
+00:16:29,430 --> 00:16:33,410
+هذا ال link رقم 3 وهذا ال link رقم 4 لاحظ ال link
+
+156
+00:16:33,410 --> 00:16:37,770
+واحد ثابتة اتنين لها motion تلاتة لها motion اربعة
+
+157
+00:16:37,770 --> 00:16:42,250
+لها motion الان
+
+158
+00:16:42,250 --> 00:16:46,430
+عدد ال number of instance centers in a mechanism
+
+159
+00:16:46,430 --> 00:16:53,070
+اللي هو N capital بستوى N small في N ناقص واحد على
+
+160
+00:16:53,070 --> 00:16:58,610
+اتنين N small هو عدد اللينكاتand capital هي number
+
+161
+00:16:58,610 --> 00:17:03,850
+of instant centers فالحالة هذه n بالساوية أربعة
+
+162
+00:17:03,850 --> 00:17:07,710
+يعني أن capital عدد ال instant centers للميكانيزم
+
+163
+00:17:07,710 --> 00:17:14,050
+سيكون أربعة في أربعة ناطص واحد على اتنين يعني
+
+164
+00:17:14,050 --> 00:17:19,130
+سيكون أربعة في تلاتة على اتنين سيكون عندك ستة
+
+165
+00:17:19,130 --> 00:17:22,370
+instant centers ستة instant centers لهذه
+
+166
+00:17:22,370 --> 00:17:22,850
+الميكانيزم
+
+167
+00:17:27,950 --> 00:17:33,210
+الان احنا عرفنا للميكانيزم للميكانيزم هذه ان عندي
+
+168
+00:17:33,210 --> 00:17:36,390
+ستة instant centers بس فيهم أنواع مش كلهم نفس
+
+169
+00:17:36,390 --> 00:17:42,910
+النوع في عندي ال primary instant centers او في
+
+170
+00:17:42,910 --> 00:17:47,770
+عندي secondary instant centers ال primary instant
+
+171
+00:17:47,770 --> 00:17:51,010
+centers بيوجهوا علي نوعين fixed instant centers
+
+172
+00:17:51,010 --> 00:17:54,930
+يعني مثلا ال link اتنين مركز دورانها ثابت بتدور
+
+173
+00:17:54,930 --> 00:18:00,840
+حوالي نقطة هذهالمركز دور ال link 2 بتغير؟ لأ دائما
+
+174
+00:18:00,840 --> 00:18:04,600
+ثابت ال link 4 بتدور حوالي النقطة هذه النقطة هذه
+
+175
+00:18:04,600 --> 00:18:10,740
+الثابتة معناته I12
+
+176
+00:18:10,740 --> 00:18:15,300
+I14
+
+177
+00:18:15,300 --> 00:18:19,880
+يعني I12 اللي هو instance center of link 2 بالنسبة
+
+178
+00:18:19,880 --> 00:18:24,480
+ل link 1 ثابت هذا يسميهم fixed instance centers
+
+179
+00:18:24,480 --> 00:18:33,910
+يعني Iواحد اتنين و I واحد اربعة هدول fixed instant
+
+180
+00:18:33,910 --> 00:18:39,110
+centers وفي
+
+181
+00:18:39,110 --> 00:18:46,070
+نوع تاني permanent instant centers الان بين link
+
+182
+00:18:46,070 --> 00:18:52,510
+اتنين و تلاتة في joint في وصلة و بين link تلاتة و
+
+183
+00:18:52,510 --> 00:18:56,970
+اربعة في وصلةواضح انه عند الوصنة بيصير some
+
+184
+00:18:56,970 --> 00:19:02,410
+rotation relative rotation فهذه النقطة بتمثل دوران
+
+185
+00:19:02,410 --> 00:19:06,390
+تلاتة بالنسبة لاتنين او دوران اتنين بالنسبة لتلاتة
+
+186
+00:19:06,390 --> 00:19:09,270
+النقطة هذه ال joint هتمثل دوران اربعة بالنسبة
+
+187
+00:19:09,270 --> 00:19:14,330
+لتلاتة او تلاتة بالنسبة لاربعة الان موقع ال joint
+
+188
+00:19:14,330 --> 00:19:17,550
+هذه هل بيظل ثابت لما تتحرك الميكانيزم طبعا لأ
+
+189
+00:19:17,550 --> 00:19:19,970
+هيتغير لكن
+
+190
+00:19:22,960 --> 00:19:25,600
+الـ relative motion من اتنين و تلاتة بيبقى موجودة
+
+191
+00:19:25,600 --> 00:19:28,740
+يعني دايما .. دايما مواصلين بالـ joint هذه المعنى
+
+192
+00:19:28,740 --> 00:19:32,000
+هو هذه بيسميها permanent instant centers permanent
+
+193
+00:19:32,000 --> 00:19:37,180
+ال location of the instant center of this instant
+
+194
+00:19:37,180 --> 00:19:40,340
+center is not fixed ال location بتاعها ها قاعد
+
+195
+00:19:40,340 --> 00:19:47,480
+بسميها I اتنين تلاتة وهذه I تلاتة اربعة يعني I
+
+196
+00:19:47,480 --> 00:19:55,310
+اتنين تلاتة و Iالتلاتة أربعة اللي هي permanent
+
+197
+00:19:55,310 --> 00:19:59,910
+Instant
+
+198
+00:19:59,910 --> 00:20:08,750
+centers هدول بيجيوا تحت primary Instant
+
+199
+00:20:08,750 --> 00:20:14,410
+centers النوع
+
+200
+00:20:14,410 --> 00:20:14,970
+التاني
+
+201
+00:20:17,820 --> 00:20:21,820
+اللي هو secondary instance centers secondary
+
+202
+00:20:21,820 --> 00:20:26,660
+instance centers يعني neither fixed nor permanent
+
+203
+00:20:26,660 --> 00:20:29,800
+يعني لا هي fixed ولا هي permanent إيش يعني لا هي
+
+204
+00:20:29,800 --> 00:20:33,620
+fixed ولا هي permanent معناته ال instance center
+
+205
+00:20:33,620 --> 00:20:42,260
+للميكانزم بالنسبة لل fixed link وقع في مكان ما في
+
+206
+00:20:42,260 --> 00:20:48,000
+ال spaceواقع في مكان ما في ال space موقع متغير
+
+207
+00:20:48,000 --> 00:20:51,200
+مافيش joint يعني عند موقع ال instant center مافي
+
+208
+00:20:51,200 --> 00:20:56,440
+joint مافي مفصل يعني عند موقع ال instant center
+
+209
+00:20:56,440 --> 00:21:05,000
+مافي joint رقم واحد رقم اتنين الموقع متغير يعني لا
+
+210
+00:21:05,000 --> 00:21:07,160
+هو permanent ولا هو fixed
+
+211
+00:21:13,980 --> 00:21:18,740
+زي ما هو مبين عندي هنا عندي four bar linkage، هاي
+
+212
+00:21:18,740 --> 00:21:23,700
+link واحد، link اتنين، link تلاتة، link اربعة، هذا
+
+213
+00:21:23,700 --> 00:21:30,030
+I12 مركز دوران، ال link اتنين بالنسبة لواحدهذا
+
+214
+00:21:30,030 --> 00:21:35,310
+fixed instance center هذا I 1 4 مركز دوران ال link
+
+215
+00:21:35,310 --> 00:21:39,770
+4 بالنسبة لل .. لل .. لل .. لل واحد و برضه fixed
+
+216
+00:21:39,770 --> 00:21:48,280
+instance center و في عندي I 2 3 مركز دورانتلاتة
+
+217
+00:21:48,280 --> 00:21:50,740
+بين نفسي ولا اتنين او اتنين بين نفسي ولا تلاتة
+
+218
+00:21:50,740 --> 00:21:55,040
+الان ال joint دايما بيبقى موجودة بين اتنين و تلاتة
+
+219
+00:21:55,040 --> 00:21:58,540
+لكن موقع ال joint مع الحركة بيبقى مش نفس الموقع
+
+220
+00:21:58,540 --> 00:22:02,080
+معناته هذا permanent instant center وفي عندي I
+
+221
+00:22:02,080 --> 00:22:06,740
+تلاتة اربعة الان ال joint دايما موجودة الوصلة او
+
+222
+00:22:06,740 --> 00:22:10,800
+نفصل دايما بين تلاتة واربعة لكن موقع النقطة هذه
+
+223
+00:22:10,800 --> 00:22:14,380
+لما تتحرك الميكانزم صارت موضوع جديد
+
+224
+00:22:23,790 --> 00:22:29,130
+الـ join بقى موجودة لكن الموقع هتغير اي تلاتة
+
+225
+00:22:29,130 --> 00:22:31,170
+اربعة او اي اتنين تلاتة اربعة اربعة اتنين تلاتة
+
+226
+00:22:31,170 --> 00:22:32,910
+اربعة اتنين تلاتة اربعة اتنين تلاتة اربعة اتنين
+
+227
+00:22:32,910 --> 00:22:36,110
+تلاتة اربعة اتنين تلاتة اربعة اتنين تلاتة اربعة
+
+228
+00:22:36,110 --> 00:22:39,650
+اتنين تلاتة اربعة اتنين تلاتة اربعة اتنين تلاتة
+
+229
+00:22:39,650 --> 00:22:44,470
+اربعة اتنين تلاتة اربعة اتنين تلاتة اربعة اتنين
+
+230
+00:22:44,470 --> 00:22:47,210
+تلاتة اربعة اتنين تلاتة اربعة اتنين تلاتة اربعة
+
+231
+00:22:47,210 --> 00:22:55,810
+اتنين تلاتة اربعة اتنين تلاتة اربعة اتنمركز دوران
+
+232
+00:22:55,810 --> 00:23:01,330
+ال link تلاتة بالنسبة لواحد يعني لو مديت مديت هذا
+
+233
+00:23:01,330 --> 00:23:04,750
+الخط و هذا الخط بيعطيني I واحدة بعد شو هنعرف كيف
+
+234
+00:23:04,750 --> 00:23:11,610
+هذي أجت الان مركز دوران ال I واحد تلاتة مافيش
+
+235
+00:23:11,610 --> 00:23:14,550
+joint هنا رقم واحد و الموقع هذا برضه مش متغير
+
+236
+00:23:14,550 --> 00:23:17,630
+الموقع ال incense center بتغير من لحظة للحظة و
+
+237
+00:23:17,630 --> 00:23:25,720
+مافيش jointهنا عندى بيجي I 24 I 24 لان برضه موقع
+
+238
+00:23:25,720 --> 00:23:31,600
+لان مافي joint عندهين مافي joint رقم 2 هذا الموقع
+
+239
+00:23:31,600 --> 00:23:36,900
+بتغير من لحظة للحظة و دايما راقع الخط هذا معناته
+
+240
+00:23:36,900 --> 00:23:41,020
+واضح في الميكانيزم هذه في عندى two fixed instant
+
+241
+00:23:41,020 --> 00:23:48,980
+centers two permanent instant centers هوو two
+
+242
+00:23:48,980 --> 00:24:02,700
+secondary incident centers طيب
+
+243
+00:24:24,560 --> 00:24:28,260
+هناخد بعض الأمثلة، انا عندي مثلا في المثال هذا
+
+244
+00:24:28,260 --> 00:24:36,860
+عندي link هذه
+
+245
+00:24:36,860 --> 00:24:40,140
+واحد وهذه اتنين ال instance center ل link اتنين
+
+246
+00:24:40,140 --> 00:24:46,460
+بيصل واحد هو هذا I12 طب في الحالة هذه link two is
+
+247
+00:24:46,460 --> 00:24:49,300
+in a pure rotation about this fixed instance
+
+248
+00:24:49,300 --> 00:24:54,990
+centerlink two is in pure rotation about this
+
+249
+00:24:54,990 --> 00:25:00,410
+point مانع تقاعد و هذا fixed fixed instant center
+
+250
+00:25:00,410 --> 00:25:13,750
+ناخد حالة تانية عندي عندي دائرة بتتدحرج على مستوى
+
+251
+00:25:13,750 --> 00:25:19,630
+أفقي هذا هو ال instant center
+
+252
+00:25:23,200 --> 00:25:30,180
+على فرض فش انزلاق على فرض فش انزلاق هذا بيكون ال
+
+253
+00:25:30,180 --> 00:25:32,760
+instant center اللي هي ال common point بين المستوى
+
+254
+00:25:32,760 --> 00:25:39,620
+المستوى و الدولاب هذا link واحد طبعا والدولاب link
+
+255
+00:25:39,620 --> 00:25:49,100
+اتنين لأ لو خدت block is
+
+256
+00:25:49,100 --> 00:25:51,880
+in a translation الآن
+
+257
+00:25:55,720 --> 00:26:01,340
+معناته is in a pure translation معناته the body is
+
+258
+00:26:01,340 --> 00:26:05,640
+rotating about a center that is يعني ال .. ال ..
+
+259
+00:26:05,640 --> 00:26:08,200
+ال instant center بعيد جدا جدا جدا جدا جدا معناته
+
+260
+00:26:08,200 --> 00:26:12,280
+بيكون عند ال instant center جاي في مان النهاية في
+
+261
+00:26:12,280 --> 00:26:17,740
+infinity معناته I هاي واحد وهاي اتنين I واحد اتنين
+
+262
+00:26:17,740 --> 00:26:20,140
+بيروح في infinity
+
+263
+00:26:24,310 --> 00:26:30,290
+عندي body تاني هي
+
+264
+00:26:30,290 --> 00:26:39,030
+ال link واحد وهي ال body الآن بنزلق
+
+265
+00:26:39,030 --> 00:26:44,890
+على السطح الدوراني هذا معناته هيكون مركز دورانه
+
+266
+00:26:44,890 --> 00:26:51,050
+اللي هو مركز السطح هذا ال instant center واحد
+
+267
+00:26:51,050 --> 00:26:57,800
+اتنيننفس الشيء لو كان عندى body خارجي وهذا fixed
+
+268
+00:26:57,800 --> 00:27:05,220
+وفي عليه body بنزلك هذه هتكون ال instant center
+
+269
+00:27:05,220 --> 00:27:07,300
+واحد اتنين
+
+270
+00:27:29,210 --> 00:27:35,290
+طيب الآن ال Arnold Kennedy theorem طب انا حاطط
+
+271
+00:27:35,290 --> 00:27:40,730
+فيديو توضيحي او فيديو بعمل محاكاة على ال Arnold
+
+272
+00:27:40,730 --> 00:27:44,510
+Kennedy theorem موجود افتحوا الموديل وشغلوا
+
+273
+00:27:44,510 --> 00:27:49,390
+الفيديو هذا وشوفوا Kennedy theorem بتحكي اذا في
+
+274
+00:27:49,390 --> 00:27:55,460
+three bodies عندى تلت اجسامmove relative to each
+
+275
+00:27:55,460 --> 00:27:59,220
+other هدول التلت أجسام في حركة نسبية بينها يعني
+
+276
+00:27:59,220 --> 00:28:03,500
+بتحركوا بالنسبة لبعض النتيجة
+
+277
+00:28:03,500 --> 00:28:10,880
+they have three instant centers that lie on a
+
+278
+00:28:10,880 --> 00:28:15,980
+straight line إذا عندي تلت أجسام تلت أجسام بتحركوا
+
+279
+00:28:15,980 --> 00:28:24,580
+بالنسبة لبعض هيكون تلت مراكز دوران لحظيةبتكون واقع
+
+280
+00:28:24,580 --> 00:28:29,660
+على نفس الخط المستقيم يعني إذا كان لتلت أجسام و
+
+281
+00:28:29,660 --> 00:28:34,300
+بتحركوا بالنسبة لبعض they will have three instance
+
+282
+00:28:34,300 --> 00:28:39,300
+centers that lie on a straight line يعني نرجع لل
+
+283
+00:28:39,300 --> 00:28:47,300
+four bar linkage نرجع
+
+284
+00:28:47,300 --> 00:28:48,320
+لل four bar linkage
+
+285
+00:28:52,070 --> 00:28:55,970
+خلّيني أخد تلت أجسام الجسم هذا ال link واحد هاي ال
+
+286
+00:28:55,970 --> 00:29:01,310
+link واحد و
+
+287
+00:29:01,310 --> 00:29:11,890
+هاخد link اتنين و link تلاتة link
+
+288
+00:29:11,890 --> 00:29:20,130
+واحد و link اتنين يعني هاندي link ال link واحد
+
+289
+00:29:21,600 --> 00:29:29,960
+و اتنين و تلاتة لحظة
+
+290
+00:29:29,960 --> 00:29:37,640
+بين اتنين و واحد فاندي
+
+291
+00:29:37,640 --> 00:29:41,180
+اي اي
+
+292
+00:29:41,180 --> 00:29:43,080
+واحد اتنين
+
+293
+00:29:56,710 --> 00:30:11,090
+و في عندي كمان I اتنين تلاتة هاي I اتنين تلاتة و
+
+294
+00:30:11,090 --> 00:30:22,350
+في عندي I واحد تلاتة هذا هو I واحد تلاتة لحظة
+
+295
+00:30:28,460 --> 00:30:32,960
+أي واحد اتنين و اي اتنين تلاتة و اي واحد تلاتة
+
+296
+00:30:32,960 --> 00:30:37,140
+وقعين على نفس الخط على نفس الاستقامة عندي تلات
+
+297
+00:30:37,140 --> 00:30:41,620
+لينكات if I have three bodiesthat they have
+
+298
+00:30:41,620 --> 00:30:43,320
+relative motion with respect to each other يعني
+
+299
+00:30:43,320 --> 00:30:48,060
+عندي link واحد و link اتنين و link تلاتة و هدول في
+
+300
+00:30:48,060 --> 00:30:51,280
+بينهم حركة نسبية حيكون في عندي تلاتة instant
+
+301
+00:30:51,280 --> 00:30:54,620
+centers يعني اي واحد اتنين و اي اتنين تلاتة و اي
+
+302
+00:30:54,620 --> 00:30:59,040
+واحد تلاتة وقعين على نفس الخط ناخد تلت .. تلت link
+
+303
+00:30:59,040 --> 00:31:04,380
+تانين لو أخدت link
+
+304
+00:31:04,380 --> 00:31:08,080
+واحد و
+
+305
+00:31:08,080 --> 00:31:19,620
+link اربعةو link تلاتة انا خدت link واحد و أربعة و
+
+306
+00:31:19,620 --> 00:31:26,620
+تلاتة يعني انا هكون عندي I واحد أربعة و I واحد
+
+307
+00:31:26,620 --> 00:31:35,400
+تلاتة و I تلاتة أربعة لأن هاي I واحد أربعة هاي I
+
+308
+00:31:35,400 --> 00:31:45,660
+واحد أربعةو I تلاتة أربعة هاي I تلاتة أربعة و I
+
+309
+00:31:45,660 --> 00:31:49,080
+واحدة تلاتة هاي I واحدة تلاتة لاحظوا برضه واقعيا
+
+310
+00:31:49,080 --> 00:31:58,500
+على نفس الخطانا عندي تلاتة links، link واحد واربعة
+
+311
+00:31:58,500 --> 00:32:01,720
+وتلاتة فيه بينه relative motion بين واحد واربعة
+
+312
+00:32:01,720 --> 00:32:07,620
+وتلاتة فيه تلاتة instance centers I14 و I34 و I13
+
+313
+00:32:07,620 --> 00:32:13,700
+واقعي على نفس الخط طيب ناخد
+
+314
+00:32:13,700 --> 00:32:22,880
+كمان combination ناخد link اتنين و link تلاتة و
+
+315
+00:32:22,880 --> 00:32:32,100
+link اربعةداخل اتنين و تلاتة و اربعة حيكون في I
+
+316
+00:32:32,100 --> 00:32:41,120
+اتنين تلاتة I اتنين مع تلاتة و I اتنين مع اربعة و
+
+317
+00:32:41,120 --> 00:32:47,700
+I تلاتة مع اربعة الان نشوف وين هم هاي I اتنين
+
+318
+00:32:47,700 --> 00:32:57,620
+تلاتة و هاي I تلاتة اربعةو هاي I اتنين اربعة ألاحظ
+
+319
+00:32:57,620 --> 00:33:04,920
+واقعين على نفس الاستقامة هذه كانت ال theorem if we
+
+320
+00:33:04,920 --> 00:33:08,960
+have three bodies with relative motion with
+
+321
+00:33:08,960 --> 00:33:11,680
+respect to each other then we will have three
+
+322
+00:33:11,680 --> 00:33:14,640
+instant centers that lie on the same straight line
+
+323
+00:33:14,640 --> 00:33:22,100
+طيب
+
+324
+00:33:33,410 --> 00:33:36,430
+الـ method of locating instances in a mechanism
+
+325
+00:33:36,430 --> 00:33:40,350
+يعني احنا نحكي انا اول اشياءdetermine the number
+
+326
+00:33:40,350 --> 00:33:42,290
+of instant centers and capitals and capitals
+
+327
+00:33:42,290 --> 00:33:45,510
+بيستوى and small في and minus واحد على اتنين and
+
+328
+00:33:45,510 --> 00:33:48,710
+small هو عدد اللينكات و and capital هو عدد ال
+
+329
+00:33:48,710 --> 00:33:51,910
+instant centers يعني في حالة ال four bar linkage
+
+330
+00:33:51,910 --> 00:33:56,770
+عندي أربع links هيكون عدد ال instant centers أربع
+
+331
+00:33:56,770 --> 00:33:59,610
+فأربع نقص واحد على اتنين عندي ستة instant centers
+
+332
+00:33:59,610 --> 00:34:04,110
+بعدين make a list of all instantaneous centers ايش
+
+333
+00:34:04,110 --> 00:34:07,860
+بروح ارتب بكتبين دي هين ال linkعندي هي link واحد
+
+334
+00:34:07,860 --> 00:34:12,620
+link اتنين link تلاتة و link اربعة هنا عند ال
+
+335
+00:34:12,620 --> 00:34:18,280
+instant centers الان واحد في واحد في .. في .. في
+
+336
+00:34:18,280 --> 00:34:21,520
+instant center اي واحد اتنين يعني اللي هو مركز
+
+337
+00:34:21,520 --> 00:34:25,420
+دوران link اتنين بالنسبة لو واحد في تلاتة واحد هو
+
+338
+00:34:25,420 --> 00:34:28,460
+مركز دوران link تلاتة بالنسبة لو واحد في اربعة او
+
+339
+00:34:28,460 --> 00:34:31,180
+واحد اربعة مركز دوران link اربعة بالنسبة لو واحد
+
+340
+00:34:31,180 --> 00:34:36,980
+الان اتنيناتنين مع واحد خلصنا منها حضر اتنين مع
+
+341
+00:34:36,980 --> 00:34:41,900
+تلاتة و اتنين مع اربعة الآن تلاتة تلاتة مع واحد
+
+342
+00:34:41,900 --> 00:34:44,940
+خلصت منها و تلاتة مع اتنين خلصت منها و حضر تلاتة
+
+343
+00:34:44,940 --> 00:34:48,920
+مع اربعة لاحظوا عندي واحد اتنين تلاتة اربعة خمسة
+
+344
+00:34:48,920 --> 00:34:54,100
+ستة instant centers فبنعمل جدول بيكون عندي ال link
+
+345
+00:34:54,100 --> 00:34:57,060
+و هنا ال list of instant centers
+
+346
+00:35:05,240 --> 00:35:11,620
+الخطوة التالتة Locate fixed and parent instant
+
+347
+00:35:11,620 --> 00:35:18,860
+centers by inspection Locate instant .. fixed and
+
+348
+00:35:18,860 --> 00:35:23,900
+parent instant centers بالنظر by inspection يعني
+
+349
+00:35:23,900 --> 00:35:32,120
+في حالة .. في حالة ال .. ال four bar linkage
+
+350
+00:35:44,590 --> 00:35:48,010
+هذا ال link واحد وهذا ال link اتنين وهذا ال link
+
+351
+00:35:48,010 --> 00:35:53,010
+تلاتة وهذا ال link اربعة Locate fixed and parent
+
+352
+00:35:53,010 --> 00:35:57,190
+instance centers by inspection هذا I واحد اتنين
+
+353
+00:35:57,190 --> 00:36:02,170
+عرفنا هذا اطول بالنظر مش ده يعني للحسابات هذا I
+
+354
+00:36:02,170 --> 00:36:08,170
+واحد اربعة fixed يعني عندي I واحد اتنين و I واحد
+
+355
+00:36:08,170 --> 00:36:19,010
+اربعة fixed في عنديI اتنين تلاتة وعندي I تلاتة
+
+356
+00:36:19,010 --> 00:36:24,150
+أربعة اللي
+
+357
+00:36:24,150 --> 00:36:35,890
+هم permanent طيب،
+
+358
+00:36:35,890 --> 00:36:39,670
+ضال عندي العدد ال .. عدد ال .. عدد ال instance
+
+359
+00:36:39,670 --> 00:36:42,810
+تنتصرت ستة عرفت أربعة، ضال تنتين
+
+360
+00:36:45,440 --> 00:36:49,720
+في الحالة هذه بستخدم الـ Kennedy's theorem to
+
+361
+00:36:49,720 --> 00:36:55,020
+determine the remainder الان
+
+362
+00:36:55,020 --> 00:37:04,200
+الان locate remaining secondary centers باستخدام
+
+363
+00:37:04,200 --> 00:37:07,560
+ال Kennedy's theorem ال Kennedy's theorem بتحكي
+
+364
+00:37:07,560 --> 00:37:12,900
+إذا عندي تلت أجسام وفي بينهم relative motion بتكون
+
+365
+00:37:14,590 --> 00:37:17,670
+في تلاتة instant centers بتكون واقع على نفس الخط
+
+366
+00:37:17,670 --> 00:37:23,330
+المستقيم join
+
+367
+00:37:23,330 --> 00:37:28,030
+points by solid lines to show that these things
+
+368
+00:37:28,030 --> 00:37:35,530
+are already found يعني ممكن اعمل دائرة بالشكل هذا
+
+369
+00:37:35,530 --> 00:37:39,690
+انا
+
+370
+00:37:39,690 --> 00:37:43,750
+عندىاربع لينكات معناته هتكون في الدائرة في مربع
+
+371
+00:37:43,750 --> 00:37:51,910
+عندي هنا هذه النقطة هذه عندي واحد هذه اتنين هذه
+
+372
+00:37:51,910 --> 00:38:05,090
+التلاتة هذه اربعة هذا ال link هذا
+
+373
+00:38:05,090 --> 00:38:06,030
+ال link واحد
+
+374
+00:38:11,070 --> 00:38:18,050
+هذه اتنين وهذه تلاتة وهذه اربعة الان انا by
+
+375
+00:38:18,050 --> 00:38:26,690
+inspection عرفت I12 بوصله بخط صلد هاي I12 by
+
+376
+00:38:26,690 --> 00:38:34,250
+inspection عرفت I14 هاي I14 I14 و by inspection
+
+377
+00:38:34,250 --> 00:38:38,290
+عرفت اللي هو ال two parent instant centers I23 I
+
+378
+00:38:38,290 --> 00:38:44,120
+I2تلاتة و by inspection عرفت another parent
+
+379
+00:38:44,120 --> 00:38:47,180
+instance مثل I تلاتة أربعة هاي تلاتة وهي أربعة
+
+380
+00:38:47,180 --> 00:38:54,160
+بوصلهم الان
+
+381
+00:38:54,160 --> 00:39:00,200
+باستخدام Kennedy's theorem انا عندي مثلا هنا عندي
+
+382
+00:39:00,200 --> 00:39:04,500
+اتطلع هنا انا هنا عندي هنا I تلاتة أربعة و I اتنين
+
+383
+00:39:04,500 --> 00:39:07,080
+تلاتة يعني عندي عندي
+
+384
+00:39:08,880 --> 00:39:16,680
+Link عندي هين انتبهوا عنده هين I اتنين تلاتة و هين
+
+385
+00:39:16,680 --> 00:39:25,500
+عندي I اتلاتة اربعة هين عندي I تلاتة اربعة و هين
+
+386
+00:39:25,500 --> 00:39:31,180
+عندي I اتنين تلاتة تطلعوا الأرقام عندي هين عندي
+
+387
+00:39:31,180 --> 00:39:32,560
+تلاتة و اربعة
+
+388
+00:39:35,830 --> 00:39:39,210
+و اتنين و تلاتة يعني اتنين اللي مبين عندي هنا
+
+389
+00:39:39,210 --> 00:39:42,250
+تلاتة و اربعة و اتنين معناه تلات لينكات هكون لينك
+
+390
+00:39:42,250 --> 00:39:45,610
+اتنين و لينك تلاتة و لينك اربعة يعني عندي three
+
+391
+00:39:45,610 --> 00:39:51,070
+links اللي هو اتنين و لينك تلاتة و لينك اربعة
+
+392
+00:39:51,070 --> 00:39:56,710
+معناه هكون في عندي incense center اتنين مع تلاتة I
+
+393
+00:39:56,710 --> 00:40:02,490
+اتنين تلاتة وعندي تلاتة مع اربعة I تلاتة اربعة
+
+394
+00:40:02,490 --> 00:40:04,650
+وعندي I
+
+395
+00:40:12,950 --> 00:40:16,230
+تلاتة اربعة اتنين مع اربعة اتنين مع اربعة اتنين مع
+
+396
+00:40:16,230 --> 00:40:17,290
+اربعة اتنين مع اربعة اتنين مع اربعة اتنين مع اربعة
+
+397
+00:40:17,290 --> 00:40:17,390
+اتنين مع اربعة اتنين مع اربعة اتنين مع اربعة اتنين
+
+398
+00:40:17,390 --> 00:40:22,730
+مع اربعة اتنين مع اربعة اتنين مع اربعة اتنين
+
+399
+00:40:22,730 --> 00:40:23,470
+مع اربعة اتنين مع اربعة اتنين مع اربعة اتنين مع
+
+400
+00:40:23,470 --> 00:40:23,770
+اربعة اتنين مع اربعة اتنين مع اربعة اتنين مع اربعة
+
+401
+00:40:23,770 --> 00:40:27,510
+مع اربعة اتنين مع اربعة اتنين مع اربعة اتنين مع
+
+402
+00:40:27,510 --> 00:40:35,050
+اربعة اتنين مع اربعة
+
+403
+00:40:35,050 --> 00:40:42,320
+اهاخد .. هاخد اتنين و واحد و اربعة link اتنين و
+
+404
+00:40:42,320 --> 00:40:49,820
+واحد و اربعة عندي هنا I واحد اربعة و I واحد اتنين
+
+405
+00:40:49,820 --> 00:40:56,580
+لحظة انا مااخد linkواحد واتنين واربعة معناته هيكون
+
+406
+00:40:56,580 --> 00:40:58,880
+فيني تلاتة instant sentences اللي هو واحد مع اتنين
+
+407
+00:40:58,880 --> 00:41:06,780
+اي واحد اتنين وعندي واحد مع اربعة اي واحد اربعة
+
+408
+00:41:06,780 --> 00:41:11,420
+وعندي اتنين مع اربعة اي اتنين اربعة هيكونوا واقعين
+
+409
+00:41:11,420 --> 00:41:18,650
+على نفس الخط هذا اي واحد اتنينI12 I14 و I12 و I24
+
+410
+00:41:18,650 --> 00:41:22,450
+هيكونوا واقعين نفس الخط، معناته لو مديت خط هنا
+
+411
+00:41:22,450 --> 00:41:27,210
+احنا
+
+412
+00:41:27,210 --> 00:41:33,710
+حكينا I24 واقع الخط هذا و I24 واقع الخط هذا،
+
+413
+00:41:33,710 --> 00:41:38,930
+معناته أكيد هيكون عن تقاطع الخطين، معناته هذا I
+
+414
+00:41:42,320 --> 00:41:50,040
+اتنين اربعة هذا اي اتنين اربعة معناته
+
+415
+00:41:50,040 --> 00:41:57,800
+احنا عرفنا اي اتنين اربعة نوصله هاي
+
+416
+00:41:57,800 --> 00:42:05,180
+اي اتنين اربعة ضال
+
+417
+00:42:05,180 --> 00:42:06,860
+عند اي واحد تلاتة
+
+418
+00:42:11,860 --> 00:42:22,880
+لحظة بدي اخد link بدي
+
+419
+00:42:22,880 --> 00:42:34,420
+اخد link 1 و 2 و 3 link 1,2,3 هيكون عندى بين 1,2,I
+
+420
+00:42:34,420 --> 00:42:37,820
+,1,2 هى I,1,2
+
+421
+00:42:42,030 --> 00:42:49,890
+هيكون عندى I اتنين تلاتة و I واحد تلاتة I اتنين
+
+422
+00:42:49,890 --> 00:42:55,110
+تلاتة هى كنز السيروم بتحكى عندي تلاتة links link
+
+423
+00:42:55,110 --> 00:42:57,530
+واحد اتنين و تلاتة هيكون عندى تلاتة instance
+
+424
+00:42:57,530 --> 00:43:00,710
+centers I واحد اتنين و I اتنين تلاتة و I واحد
+
+425
+00:43:00,710 --> 00:43:03,650
+تلاتة بيقعوا على نفس الخط المستقيم معناته واحد
+
+426
+00:43:03,650 --> 00:43:05,510
+تلاتة هيكون واقع الخط هذا
+
+427
+00:43:09,740 --> 00:43:14,400
+I13 هيكون واقع الخط هذا لسه مش عارفين الان هاخد
+
+428
+00:43:14,400 --> 00:43:17,560
+link
+
+429
+00:43:17,560 --> 00:43:21,540
+134
+
+430
+00:43:21,540 --> 00:43:29,720
+هكون عندي 13 I13 I34
+
+431
+00:43:29,720 --> 00:43:40,080
+I14 واقعين نفس الخط الان هاي I14 وهي I34الان لو
+
+432
+00:43:40,080 --> 00:43:45,860
+وصلت هدول و مديتهم هيكون
+
+433
+00:43:45,860 --> 00:43:55,220
+I13 واقع الخط هذا I13 واقع الخط هذا I13 واقع الخط
+
+434
+00:43:55,220 --> 00:44:00,720
+هذا I13 واقع الخط هذا I13 واقع الخط هذا I13 واقع
+
+435
+00:44:00,720 --> 00:44:02,100
+الخط هذا
+
+436
+00:44:13,070 --> 00:44:22,910
+تكون اوجدنا كل الـ instance centers انشوف
+
+437
+00:44:22,910 --> 00:44:23,710
+نحل ال example
+
+438
+00:44:43,310 --> 00:44:49,750
+عندنا example كرانك ABCD
+
+439
+00:44:49,750 --> 00:45:02,810
+كرانك AB ماطيني الأطول طبعا هو ماطيني AB بتساوي
+
+440
+00:45:02,810 --> 00:45:08,950
+تلتميت ملة و
+
+441
+00:45:08,950 --> 00:45:10,630
+BC تلتمية و ستين
+
+442
+00:45:18,340 --> 00:45:24,440
+و cd تلاتمية
+
+443
+00:45:24,440 --> 00:45:29,200
+و ستين locate
+
+444
+00:45:29,200 --> 00:45:34,140
+all instance centers and find the angular velocity
+
+445
+00:45:34,140 --> 00:45:42,960
+of link b,c حددلي كل ال instance centers بعدين اجد
+
+446
+00:45:42,960 --> 00:45:46,200
+السرعة الزاوية ل link b,c طيب
+
+447
+00:45:50,340 --> 00:45:58,480
+خلّيني اعمل الانسخ هذه اه
+
+448
+00:45:58,480 --> 00:46:07,320
+ومعطيني اي دي ستمية اي دي ستمية
+
+449
+00:46:07,320 --> 00:46:15,960
+مليمتر اول الشيء بدي ارقم اللينكات في عندي اللينك
+
+450
+00:46:15,960 --> 00:46:24,120
+الثابت هذي الأرضهسميها link رقم واحد هي دي
+
+451
+00:46:24,120 --> 00:46:30,320
+AB link رقم اتنين BC
+
+452
+00:46:30,320 --> 00:46:42,740
+link رقم تلاتة CD link رقم اربعة معناته
+
+453
+00:46:42,740 --> 00:46:47,200
+اكم link عندي انا عندي N small اربعة
+
+454
+00:46:49,330 --> 00:46:52,850
+معناته بعدك هحسب number of instant centers N
+
+455
+00:46:52,850 --> 00:46:59,970
+capital بيساوي N small في N ناقص واحد على اتنين
+
+456
+00:46:59,970 --> 00:47:05,610
+هتساوي طبعا اربعة في اربعة ناقص واحد على اتنين
+
+457
+00:47:05,610 --> 00:47:08,990
+هتكون تساوي ستة instant centers انا عندى ستة
+
+458
+00:47:08,990 --> 00:47:14,890
+instant centers هعمل
+
+459
+00:47:14,890 --> 00:47:15,310
+جدول
+
+460
+00:47:34,290 --> 00:47:45,310
+عندي هنا link واحد link اتنين link تلاتة و
+
+461
+00:47:45,310 --> 00:47:51,590
+link اربع يعني ال link بعدين
+
+462
+00:47:51,590 --> 00:47:58,730
+هحكي ال instant centers الان في عندي هنا واحد
+
+463
+00:47:58,730 --> 00:48:04,710
+اتنين instant center واحد اتنين واحد تلاتةواحد
+
+464
+00:48:04,710 --> 00:48:13,010
+اربعة الان اتنين في اتنين مع واحد اتنين مع تلاتة
+
+465
+00:48:13,010 --> 00:48:19,400
+اتنين مع اربعةهين التلاتة already خلصت التلاتة مع
+
+466
+00:48:19,400 --> 00:48:22,380
+الواحد والتلاتة مع الاتنين خلصناها معناته حيضر عند
+
+467
+00:48:22,380 --> 00:48:29,160
+التلاتة أربعة الأربعة مع الواحد هيها والتلاتة هيها
+
+468
+00:48:29,160 --> 00:48:33,180
+مع الاتنين هيها مع التلاتة هيها مع الاتنين هيها مع
+
+469
+00:48:33,180 --> 00:48:34,540
+الاتنين هيها مع الاتنين هيها مع الاتنين هيها مع
+
+470
+00:48:34,540 --> 00:48:34,740
+الاتنين هيها مع الاتنين هيها مع الاتنين هيها مع
+
+471
+00:48:34,740 --> 00:48:35,160
+الاتنين هيها مع الاتنين
+
+472
+00:48:51,860 --> 00:49:03,260
+لأن هعمل دائرة انا
+
+473
+00:49:03,260 --> 00:49:06,660
+عندي اربع .. اربع linked معينة هكون عندي مربع هاي
+
+474
+00:49:06,660 --> 00:49:15,180
+عندي واحد اتنين تلاتة
+
+475
+00:49:15,180 --> 00:49:18,320
+هاي اربع
+
+476
+00:49:23,620 --> 00:49:28,180
+by inspection I
+
+477
+00:49:28,180 --> 00:49:32,820
+will locate ال fixed centers الأول أول الشي اندي
+
+478
+00:49:32,820 --> 00:49:37,540
+أنا هنا هذا ال center هذا المركز ده ورا ال link
+
+479
+00:49:37,540 --> 00:49:47,920
+اتنين بالنسبة لواحد هذا I واحد اتنين معناته هي
+
+480
+00:49:47,920 --> 00:49:51,400
+واحد اتنين يعني عندي link واحد
+
+481
+00:49:54,700 --> 00:50:02,120
+خلصت من هنا عرفنا هاي I 1 2 وعندي النقطة دي تمثل
+
+482
+00:50:02,120 --> 00:50:10,600
+محور دوران لاربع من اسلوب معناته هاي I I
+
+483
+00:50:10,600 --> 00:50:23,530
+1 4 معناته هاي عندي هنا link 4 هاي I 1 4الان اي
+
+484
+00:50:23,530 --> 00:50:28,030
+واحد اتنين اي
+
+485
+00:50:28,030 --> 00:50:34,590
+واحد اربع عبارة عن fixed محمر
+
+486
+00:50:34,590 --> 00:50:41,790
+دوران ثابت fixed instant centers الان
+
+487
+00:50:41,790 --> 00:50:45,530
+هشوف ال permanent instant centers في عندي instant
+
+488
+00:50:45,530 --> 00:50:50,810
+center بين اتنين و تلاتة هذه
+
+489
+00:50:50,810 --> 00:51:00,880
+اياتنين تلاتة هاي عندي هنا ال link
+
+490
+00:51:00,880 --> 00:51:12,140
+هذا
+
+491
+00:51:12,140 --> 00:51:13,780
+I اتنين تلاتة
+
+492
+00:51:23,400 --> 00:51:31,840
+وعندي كمان I بين أربعة و تلاتة I تلاتة
+
+493
+00:51:31,840 --> 00:51:41,660
+أربعة I
+
+494
+00:51:41,660 --> 00:51:49,720
+تلاتة أربعة لأن عندي I اتنين تلاتة و I تلاتة أربعة
+
+495
+00:51:49,720 --> 00:51:51,460
+عبارة عن permanent
+
+496
+00:51:56,070 --> 00:52:01,590
+instant centers خلصت
+
+497
+00:52:01,590 --> 00:52:06,090
+منهم الان عندي ضال الان so far انا اللي عرفتهم so
+
+498
+00:52:06,090 --> 00:52:13,570
+far عرفنا اي واحد اتنين و
+
+499
+00:52:13,570 --> 00:52:22,010
+اي واحد اربعة و اي اتنين تلاتة و اي تلاتة اربعة
+
+500
+00:52:24,690 --> 00:52:35,450
+ضال عندى I 1 3 و I 2 4 إذا
+
+501
+00:52:35,450 --> 00:52:48,530
+أخدت ال link 1 و 2 و 3 ال links ال links واحد
+
+502
+00:52:49,490 --> 00:52:54,890
+و اتنين و تلاتة هدول طبقا لcanada theorem في بينهم
+
+503
+00:52:54,890 --> 00:52:58,330
+relative motion المعنى هو هيكون ان هناك ثلاثة
+
+504
+00:52:58,330 --> 00:53:02,870
+centers انسان موجودين على اتنين و تلاتة انسان
+
+505
+00:53:02,870 --> 00:53:04,010
+موجودين على اتنين و تلاتة انسان موجودين على اتنين
+
+506
+00:53:04,010 --> 00:53:06,050
+و تلاتة انسان موجودين على اتنين و تلاتة انسان
+
+507
+00:53:06,050 --> 00:53:08,630
+موجودين على اتنين و تلاتة انسان موجودين على اتنين
+
+508
+00:53:08,630 --> 00:53:10,310
+و تلاتة انسان موجودين على اتنين و تلاتة انسان
+
+509
+00:53:10,310 --> 00:53:16,810
+موجودين على اتنين و تلاتة انسان موجودين على اتنين
+
+510
+00:53:16,810 --> 00:53:19,070
+و تلاتة انسان موجودين على اتنين و تلاتة انسان
+
+511
+00:53:19,070 --> 00:53:23,850
+موجودين على اتنلأن عندي هاي اي واحد اتنين و هاي اي
+
+512
+00:53:23,850 --> 00:53:32,790
+اتنين تلاتة يعني
+
+513
+00:53:32,790 --> 00:53:37,970
+اي واحد تلاتة عندي هاي اي واحد تلاتة او اي اتنين
+
+514
+00:53:37,970 --> 00:53:43,270
+تلاتة و اي واحد اتنين هيكونوا على نفس الخط هاخد
+
+515
+00:53:43,270 --> 00:53:48,210
+ال links واحد و اربع و تلاتة هاخد links links
+
+516
+00:53:51,600 --> 00:53:57,120
+واحد واربعة و تلاتة معناته هيكون عنده instant
+
+517
+00:53:57,120 --> 00:54:00,160
+center هذه التلاتة الانكاز ال three links that
+
+518
+00:54:00,160 --> 00:54:02,640
+have relative motion with respect to each other
+
+519
+00:54:02,640 --> 00:54:09,900
+هيكون عنده بين واحد واربعة I واحد اربعة و I واحد
+
+520
+00:54:09,900 --> 00:54:15,740
+تلاتة و I تلاتة اربعة هدول هيكون على نفس الاستقام
+
+521
+00:54:15,740 --> 00:54:20,600
+اللي انا عندي هاي I واحد اربعةو I تلاتة أربعة و
+
+522
+00:54:20,600 --> 00:54:31,240
+واحد تلاتة هكون على نفس الخط معناه لو وصلت هذول I
+
+523
+00:54:31,240 --> 00:54:38,380
+واحد تلاتة معناه
+
+524
+00:54:38,380 --> 00:54:43,700
+و I واحد تلاتة واقع الخط هذا و واقع الخط هذا اذا
+
+525
+00:54:43,700 --> 00:54:46,800
+واقع الخطين هذول اكيد هكون اواقع تقطعهم معناه هذي
+
+526
+00:54:46,800 --> 00:54:47,220
+هتكون
+
+527
+00:54:50,210 --> 00:54:55,270
+I13 معناته انا حسبت I13 معناته بوصل بين نقطة واحد
+
+528
+00:54:55,270 --> 00:54:59,850
+واحد
+
+529
+00:54:59,850 --> 00:55:06,230
+تلاتة صار معروف عندي اللي
+
+530
+00:55:06,230 --> 00:55:13,230
+هنضال عندي I24 لو أخدت ال link واحد
+
+531
+00:55:16,830 --> 00:55:25,670
+واحد واتنين واربعة أخدت ال links ال links واحد
+
+532
+00:55:25,670 --> 00:55:30,840
+واتنين واربعةهدول ال links 1,2,4 فيه بينهم حركة
+
+533
+00:55:30,840 --> 00:55:33,340
+نسبية يعني هكون فيه تلاتة instance centers واقعة
+
+534
+00:55:33,340 --> 00:55:41,860
+نفس الخط هكون عندي تلات محاور بين I 1,2 و I 1,4 و
+
+535
+00:55:41,860 --> 00:55:46,720
+I 2,4 هتكون واقعة نفس الخط لأن عندي هاي I 1,2 و I
+
+536
+00:55:46,720 --> 00:55:52,720
+1,4 لو وصلتهم و
+
+537
+00:55:52,720 --> 00:55:53,340
+مديت
+
+538
+00:56:00,820 --> 00:56:05,580
+هيكون عندى I اتنين
+
+539
+00:56:05,580 --> 00:56:10,840
+اربعة واقع الخط اللي عندي هنا I14 I12 و I24 يعني
+
+540
+00:56:10,840 --> 00:56:13,060
+هيكون على نفس الاستقبال ايه اتنين اربعة هيكون واقع
+
+541
+00:56:13,060 --> 00:56:18,300
+الخط هذا هاخد
+
+542
+00:56:18,300 --> 00:56:26,980
+اتنين و تلاتة وأربعة هاخد links links اتنين
+
+543
+00:56:26,980 --> 00:56:33,440
+و تلاتة وأربعةهاخد links اتنين و تلاتة و اربعة
+
+544
+00:56:33,440 --> 00:56:38,060
+حيكون
+
+545
+00:56:38,060 --> 00:56:44,040
+عنده instance centers اللي هو I اتنين مع تلاتة و I
+
+546
+00:56:44,040 --> 00:56:49,440
+اتنين مع اربعة و I تلاتة مع اربعة على نفس
+
+547
+00:56:49,440 --> 00:56:53,980
+الاستقامة اللي انا عنده عنده هاي I تلاتة اربعة و I
+
+548
+00:56:53,980 --> 00:56:56,080
+اتنين تلاتة و I اتنين اربعة هيكون واقعين على نفس
+
+549
+00:56:56,080 --> 00:56:56,480
+الخط
+
+550
+00:57:03,530 --> 00:57:11,750
+I اتنين اربعة اتنين اربعة واضح ان I اتنين اربعة
+
+551
+00:57:11,750 --> 00:57:17,070
+واقع الخط هذا و واقع الخط هذا معناته نقطة التقاطع
+
+552
+00:57:17,070 --> 00:57:21,790
+هدول الخطين هذي تمثل I اتنين اربعة او جد All
+
+553
+00:57:21,790 --> 00:57:26,690
+Instant Centers I اتنين
+
+554
+00:57:26,690 --> 00:57:27,130
+اربعة
+
+555
+00:57:31,290 --> 00:57:44,990
+هذا المطلوب الأول المطلوب التاني كان ال link
+
+556
+00:57:44,990 --> 00:57:50,830
+a,b ال omega omega
+
+557
+00:57:50,830 --> 00:58:00,660
+a,b يعني omega اتنين بصومية rpm يعني هتكون ميةفي
+
+558
+00:58:00,660 --> 00:58:25,400
+اتنين by على ستين بتطلع
+
+559
+00:58:25,400 --> 00:58:33,220
+عشرة pointاربع سبعة radians per second افرض انها
+
+560
+00:58:33,220 --> 00:58:38,480
+بتدور clockwise بده
+
+561
+00:58:38,480 --> 00:58:42,580
+نحسب السرعة الزاوية ل link تلاتة
+
+562
+00:58:54,300 --> 00:58:57,920
+الان انا ملزم ان احسب شوية حسابات هندسية عندى هذا
+
+563
+00:58:57,920 --> 00:59:05,820
+الزاوية ستين و لاحظوا الأطوال عندى هذا معروف ستمية
+
+564
+00:59:05,820 --> 00:59:11,440
+ستمية انا ممكن اسوي التالة
+
+565
+00:59:28,400 --> 00:59:36,500
+لو أخدت المثلث خدت المثلث a
+
+566
+00:59:36,500 --> 00:59:46,880
+b d مثلث a b d مثلث
+
+567
+00:59:46,880 --> 00:59:50,020
+a
+
+568
+00:59:50,020 --> 01:00:06,410
+b d هذا المثلث هي a هي bهي دي هذا المترجم انا عارف
+
+569
+01:00:06,410 --> 01:00:10,710
+الطول هذا ستمية و هذا تلاتمية و هذا الزاوية ستين
+
+570
+01:00:10,710 --> 01:00:15,290
+باستخدام ال cos اللي هو ممكن احسس بي دي ال بي دي
+
+571
+01:00:15,290 --> 01:00:28,290
+ال بي دي تربيه حيث سوى ال ا بي تربيه زاد ال ا دي
+
+572
+01:00:29,370 --> 01:00:42,910
+تربيع ناقص اتنين a b في a d cosine الستين يعني ال
+
+573
+01:00:42,910 --> 01:00:49,170
+bd تربيع هيكون يستوى ال a b تربيع اللي هو تلت مية
+
+574
+01:00:49,170 --> 01:00:58,170
+تربيع تلت مية تربيع زائد ستمية تربيع ناقص اتنين في
+
+575
+01:00:58,170 --> 01:01:14,240
+تلت ميةفي ستمية في كصينة ستين نص يعني
+
+576
+01:01:14,240 --> 01:01:15,040
+التلاتمية
+
+577
+01:01:29,950 --> 01:01:40,630
+and هيكون تلت مية تلت مية زائد ست مية ناقص
+
+578
+01:01:40,630 --> 01:01:47,990
+تطلع
+
+579
+01:01:47,990 --> 01:01:53,650
+متين وسبعين ألف معناته
+
+580
+01:01:53,650 --> 01:01:54,490
+بحسب ال PD
+
+581
+01:02:12,540 --> 01:02:19,840
+طيب و أنا بحسب ال BD احسبولي ال BD اللي هو جزر
+
+582
+01:02:19,840 --> 01:02:35,740
+التربية ل الميتين و سبعين ألف الان
+
+583
+01:02:35,740 --> 01:02:37,120
+انا حسبت ال BD
+
+584
+01:02:46,230 --> 01:02:53,570
+خلّيني أسمي الزاوية هذه theta
+
+585
+01:02:53,570 --> 01:02:59,590
+هذه
+
+586
+01:02:59,590 --> 01:03:08,890
+الزاوية theta بدي أخد المثلث ال مثلث bcd
+
+587
+01:03:08,890 --> 01:03:09,930
+المثلث
+
+588
+01:03:15,300 --> 01:03:26,040
+BCD نفس الأشياء هتكون عنده PD تربيع هتساوي
+
+589
+01:03:26,040 --> 01:03:33,340
+BC تربيع زاد
+
+590
+01:03:33,340 --> 01:03:38,740
+CD تربيع ناقص
+
+591
+01:03:38,740 --> 01:03:39,520
+اتنين BC
+
+592
+01:03:43,280 --> 01:03:53,060
+فى cd فى cosine الثتا يعنى هتصير عندى هنا ال bd
+
+593
+01:03:53,060 --> 01:03:56,720
+تربيع اللى هى ميتين و سبعين الف ميتين و سبعين الف
+
+594
+01:03:56,720 --> 01:04:00,760
+بتساوي
+
+595
+01:04:00,760 --> 01:04:10,460
+ال bc تربيع اللى هى تلت مية و ستين تربيع ناقص
+
+596
+01:04:10,460 --> 01:04:19,580
+ازايدتلاتمية و ستين تربية ناقص اتنين في تلاتمية و
+
+597
+01:04:19,580 --> 01:04:26,780
+ستين في تلاتمية و ستين في cosine theta و منها
+
+598
+01:04:26,780 --> 01:04:33,020
+باحسب ال theta احسبوه لحالكوا احسبوه ال theta
+
+599
+01:04:43,650 --> 01:04:51,030
+الان من ال sign law من ال sign law هحسب الزاوية
+
+600
+01:04:51,030 --> 01:04:59,410
+هسمي هذه alpha وهذه
+
+601
+01:04:59,410 --> 01:05:04,930
+هسميها beta
+
+602
+01:05:20,700 --> 01:05:28,040
+هاخد المثلث كمرة ال مثلث a b
+
+603
+01:05:28,040 --> 01:05:36,540
+d a b d هستخدم ال sign low sign low هكون عندي ال
+
+604
+01:05:36,540 --> 01:05:41,680
+sign alpha على
+
+605
+01:05:41,680 --> 01:05:45,380
+اللي
+
+606
+01:05:45,380 --> 01:05:47,100
+هو a b اللي هو تلت مية
+
+607
+01:05:52,070 --> 01:06:01,850
+بتساوي صين الستين على
+
+608
+01:06:01,850 --> 01:06:05,270
+بي
+
+609
+01:06:05,270 --> 01:06:11,370
+دي احنا الроде بنعرف بي دي و منها باحسب الالفة
+
+610
+01:06:11,370 --> 01:06:16,310
+الالفة بتسير معروف بتحسبولي برضه الزاوية الفة
+
+611
+01:06:18,470 --> 01:06:22,270
+الأن ال alpha معروفة و ال theta معروفة و ال bd
+
+612
+01:06:22,270 --> 01:06:33,970
+معروفة هاخد المثلث هاخد المثلث المثلث
+
+613
+01:06:33,970 --> 01:06:40,350
+bcd bcd
+
+614
+01:06:40,350 --> 01:06:45,790
+برضه هستخدم ال sign low هيكون عنده sign beta
+
+615
+01:06:49,760 --> 01:06:55,480
+على بي سي بيساوي
+
+616
+01:06:55,480 --> 01:06:59,520
+sin θ على
+
+617
+01:06:59,520 --> 01:07:05,800
+بي دي و أنا بعرف بي سي تلت مية و ستين ملي و بي دي
+
+618
+01:07:05,800 --> 01:07:09,980
+already حسبتها جزر تريوتين سوية ألف و ال theta
+
+619
+01:07:09,980 --> 01:07:18,550
+عرفها بحسب بيتا صارت بيتا معروفةو Alpha معروفة
+
+620
+01:07:18,550 --> 01:07:22,590
+يعني هذه الزاوية صارت كلها Alpha زي الميتم معروفة
+
+621
+01:07:22,590 --> 01:07:27,370
+المعنى ان الزاوية هذه خلينا
+
+622
+01:07:27,370 --> 01:07:32,890
+نسميها Phi ال
+
+623
+01:07:32,890 --> 01:07:38,990
+Phi الزاوية
+
+624
+01:07:38,990 --> 01:07:44,110
+Phi هتكون
+
+625
+01:07:44,110 --> 01:07:55,120
+تساوي مية و تمانينناقص ستين درجة ناقص Alpha زائد
+
+626
+01:07:55,120 --> 01:08:07,280
+Beta عرفنا الـ Phi معناته
+
+627
+01:08:07,280 --> 01:08:12,060
+المثلث خدنا نسميها دي BCDE
+
+628
+01:08:17,150 --> 01:08:28,350
+الان المثلث A D E صار معروف في تلت زوايا وضلع
+
+629
+01:08:28,350 --> 01:08:32,770
+معناه انت ممكن تستخدم ال sign لو عشان توجد الأضلاع
+
+630
+01:08:32,770 --> 01:08:43,490
+تانية هستخدم المثلث ال مثلث A D E هستخدم ال sign
+
+631
+01:08:43,490 --> 01:08:51,110
+لو حاجة أحكيAE على
+
+632
+01:08:51,110 --> 01:09:05,350
+sign Alpha زائد Beta بتساوي AD على
+
+633
+01:09:05,350 --> 01:09:12,490
+sign Phi بتساوي DE
+
+634
+01:09:15,820 --> 01:09:25,800
+على sign الستين انا معروف عندي معروف
+
+635
+01:09:25,800 --> 01:09:32,120
+عندي ال a دي و ال five معروفة و ال alpha معروفة و
+
+636
+01:09:32,120 --> 01:09:39,640
+ال beta معروفة معناته ممكن احسب ال a e كالكلية ال
+
+637
+01:09:39,640 --> 01:09:50,760
+a e حسير عندي a e تحسب معروفةو الـ DE تحسب صارت
+
+638
+01:09:50,760 --> 01:09:59,180
+معروف، معناه أن المثلث صار معروف الآن
+
+639
+01:09:59,180 --> 01:10:04,360
+صارت AE معروفة و AB معروفة، معناه أن BE بقدر
+
+640
+01:10:04,360 --> 01:10:04,960
+أعرفها
+
+641
+01:10:16,120 --> 01:10:22,540
+الـ ال BE هتساوي
+
+642
+01:10:22,540 --> 01:10:29,260
+AE minus
+
+643
+01:10:29,260 --> 01:10:33,760
+AB صارت
+
+644
+01:10:33,760 --> 01:10:40,020
+ال BE عندي معروفة طيب
+
+645
+01:10:49,140 --> 01:10:54,300
+أحسس سرعة الـ VB VB
+
+646
+01:10:54,300 --> 01:11:02,980
+هتكون اسمها Omega 2 في AB Omega 2 احنا حكينا عشرة
+
+647
+01:11:02,980 --> 01:11:08,940
+point أربعة سبعة في
+
+648
+01:11:08,940 --> 01:11:18,520
+AB اللي هو تلت ميت ملي في تلت ميت ملي تطلع السرعة
+
+649
+01:11:19,460 --> 01:11:28,860
+بالـ millimeter per second هذه VB يعني
+
+650
+01:11:28,860 --> 01:11:37,080
+الـ VB صارت معروفة و برضه VB هتساوي Omega تاعت
+
+651
+01:11:37,080 --> 01:11:41,160
+Ling 3 في
+
+652
+01:11:41,160 --> 01:11:46,500
+BE معناته Omega 3
+
+653
+01:11:49,330 --> 01:11:56,350
+هتكون تساوي VB على BE طبعا هتكون Omega تلاتة
+
+654
+01:11:56,350 --> 01:12:01,930
+counter clockwise لإن هاي VB بتحاول تلف H counter
+
+655
+01:12:01,930 --> 01:12:08,490
+clockwise انا
+
+656
+01:12:08,490 --> 01:12:15,100
+حليتها graphics مع analytic methodفي الكتاب حللها
+
+657
+01:12:15,100 --> 01:12:19,820
+graphically فقط فانا بفضل يعني بفضل بشكل عام كل ما
+
+658
+01:12:19,820 --> 01:12:22,900
+أمكن أعمل خلق بين ال graphics و ال analytic
+
+659
+01:12:22,900 --> 01:12:27,320
+methods طيب
+
+660
+01:12:27,320 --> 01:12:30,380
+نشوف
+
+661
+01:12:30,380 --> 01:12:35,760
+مثال تاني فهنمسح
+
+662
+01:12:35,760 --> 01:12:36,200
+اللوح
+
+663
+01:13:17,090 --> 01:13:24,370
+طيب فين ال slotted crank mechanism نص
+
+664
+01:13:24,370 --> 01:13:26,710
+السؤال بيحكي locate all instance centers of the
+
+665
+01:13:26,710 --> 01:13:30,610
+slotted crank mechanism يعي حدد مواقع كل المراكز
+
+666
+01:13:30,610 --> 01:13:36,890
+دورة لحظية للميكانزم المبينة if the crank هذي ال
+
+667
+01:13:36,890 --> 01:13:43,640
+crank rotates clockwise تجاه قار الساعةو الآن انا
+
+668
+01:13:43,640 --> 01:13:46,200
+اقدر فى list of ten radians per second find فى
+
+669
+01:13:46,200 --> 01:13:51,740
+list of slider A و انا اقدر فى list of connecting
+
+670
+01:13:51,740 --> 01:13:56,840
+rod AB طيب اول خطوة بدنا نجد ال instant centers
+
+671
+01:13:56,840 --> 01:14:01,600
+اول شي اكملينك عندى بدى ارقمهم عند الأرض ثابتة هى
+
+672
+01:14:01,600 --> 01:14:08,380
+واحد هذه
+
+673
+01:14:08,380 --> 01:14:09,700
+واحد الأرض ثابتة
+
+674
+01:14:14,060 --> 01:14:21,820
+وعندي ال two هذا ال link two وعندي
+
+675
+01:14:21,820 --> 01:14:26,280
+ال connecting road هذا ال link تلاتة وعندي ال
+
+676
+01:14:26,280 --> 01:14:36,120
+slider هذا أربعة يعني عندي طبعا
+
+677
+01:14:36,120 --> 01:14:38,000
+هم عطيني اللي هو OB
+
+678
+01:14:44,120 --> 01:14:50,960
+بتساوي 100 ميلي متر ومعطيني
+
+679
+01:14:50,960 --> 01:14:56,300
+AB 400
+
+680
+01:14:56,300 --> 01:15:04,720
+ميلي ميلي متر ومعطيني الزاوية 45 درجة في اللحظة
+
+681
+01:15:04,720 --> 01:15:12,940
+هذه يعني أول شي برقم اللينكاتعندي ال link الثابت
+
+682
+01:15:12,940 --> 01:15:15,700
+واحد و ال crank اتنين و ال connecting rod تلاتة و
+
+683
+01:15:15,700 --> 01:15:19,420
+ال slider اربعة معناه اندي number of links N small
+
+684
+01:15:19,420 --> 01:15:24,420
+اربعة معناه ان number of instance centers هكون N
+
+685
+01:15:24,420 --> 01:15:29,900
+في N ناقص واحد على اتنين هيساوي ايش ستة instance
+
+686
+01:15:29,900 --> 01:15:38,100
+centers هعمل
+
+687
+01:15:38,100 --> 01:15:38,540
+جدول
+
+688
+01:15:58,410 --> 01:16:04,710
+هي ال link واحد اتنين تلاتة اربعة وهين ال instant
+
+689
+01:16:04,710 --> 01:16:12,930
+centers هي عندي واحد مع اتنين واحد مع اتنين واحد
+
+690
+01:16:12,930 --> 01:16:18,050
+مع تلاتة واحد مع اربعة اتنين مع واحد already موجود
+
+691
+01:16:18,050 --> 01:16:22,270
+اتنين مع تلاتة و اتنين مع اربعة تلاتة مع واحد
+
+692
+01:16:22,270 --> 01:16:25,350
+already موجودة تلاتة مع اتنين موجودة يعني تلاتة مع
+
+693
+01:16:25,350 --> 01:16:27,870
+اربعة عند ال instant centers كلها
+
+694
+01:16:34,480 --> 01:16:37,720
+موجودة هعمل دائرة
+
+695
+01:16:56,050 --> 01:16:59,970
+أول شي by inspection I will locate all fixed
+
+696
+01:16:59,970 --> 01:17:08,290
+instance centers عندي هذه هذي
+
+697
+01:17:08,290 --> 01:17:20,450
+instance center I12 هذي I12 هذي صار معروف I12 صار
+
+698
+01:17:20,450 --> 01:17:20,930
+معروف
+
+699
+01:17:31,930 --> 01:17:36,930
+اللي هو اي واحد اتنين fixed
+
+700
+01:17:36,930 --> 01:17:44,670
+instance center فعندي
+
+701
+01:17:44,670 --> 01:17:47,930
+و بعدين بدي اشوف ال pyramid instance center عندي
+
+702
+01:17:47,930 --> 01:17:56,130
+هاي عندي هين اي اتنين
+
+703
+01:17:56,130 --> 01:17:56,870
+تلاتة
+
+704
+01:18:07,940 --> 01:18:12,920
+اتنين تلاتة permanent instant center هاي اتنين مع
+
+705
+01:18:12,920 --> 01:18:23,500
+تلاتة و
+
+706
+01:18:23,500 --> 01:18:26,060
+بعد ان دي بين ال slider و ال connecting rod اللي
+
+707
+01:18:26,060 --> 01:18:33,680
+هي تلاتة أربعة I تلاتة
+
+708
+01:18:33,680 --> 01:18:34,860
+أربعة
+
+709
+01:18:49,390 --> 01:18:56,750
+الان ال slider is in pure translation معناته ال
+
+710
+01:18:56,750 --> 01:19:05,830
+instant standard بتاعه هيكون في infinity I14
+
+711
+01:19:05,830 --> 01:19:11,630
+at infinity معناته I14 برضه ايش معروف
+
+712
+01:19:18,510 --> 01:19:27,590
+بتضل I 13 و I 24 هاخد
+
+713
+01:19:27,590 --> 01:19:38,630
+link 1 و 2 و 3 ال link اللي احنا حكينا I 12 fixed
+
+714
+01:19:38,630 --> 01:19:44,570
+و I 34
+
+715
+01:19:44,570 --> 01:19:52,650
+I 23و I تلاتة أربع permanent طيب
+
+716
+01:19:52,650 --> 01:20:00,490
+هستخدم Kennedy's theorem هاخد link واحد
+
+717
+01:20:00,490 --> 01:20:07,570
+و اتنين و تلاتة هيكون عنده instant center I واحد
+
+718
+01:20:07,570 --> 01:20:13,890
+اتنين و I واحد تلاتة و I اتنين تلاتة هدول instant
+
+719
+01:20:13,890 --> 01:20:14,530
+centers
+
+720
+01:20:21,410 --> 01:20:24,390
+هيكون على نفس الاستقام، عندي link واحد و اتنين و
+
+721
+01:20:24,390 --> 01:20:28,710
+تلاتة، هاي واحد اتنين و تلاتة، هاي I واحد و I
+
+722
+01:20:28,710 --> 01:20:30,770
+اتنين تلاتة هيكون على نفس الاستقام، معناته I واحد
+
+723
+01:20:30,770 --> 01:20:35,550
+تلاتة هيكون وين؟ لو عملت خط بالشكل هذا
+
+724
+01:20:52,760 --> 01:20:59,000
+بدي اخد links واحد و تلاتة و اربعة links معناته
+
+725
+01:20:59,000 --> 01:21:03,120
+هنا هيكون على متر الخط خط ال I واحد تلاتة جاية على
+
+726
+01:21:03,120 --> 01:21:11,180
+متر الخط هذا هاخد links واحد و تلاتة و اربعة هيكون
+
+727
+01:21:11,180 --> 01:21:18,320
+عندي I واحد تلاتة و I واحد اربعة و I تلاتة اربعة
+
+728
+01:21:21,520 --> 01:21:27,660
+هي هاي تلاتة أربعة وهي واحد أربعة في نهاية، معناته
+
+729
+01:21:27,660 --> 01:21:32,520
+لو مديت هذا هيكون
+
+730
+01:21:32,520 --> 01:21:35,680
+اي واحد تلاتة برضه واقع هنا اي واحد تلاتة واقع هنا
+
+731
+01:21:35,680 --> 01:21:43,280
+معناته هذا يمثل اي واحد تلاتة معناته اي واحد تلاتة
+
+732
+01:21:43,280 --> 01:21:45,200
+صار already معروف
+
+733
+01:21:52,680 --> 01:21:58,900
+ظال عندي اي اتنين اربعة اي اتنين اربعة هاخد link
+
+734
+01:21:58,900 --> 01:22:10,480
+اتنين و تلاتة و اربعة links اتنين
+
+735
+01:22:10,480 --> 01:22:15,360
+و تلاتة و اربعة طبق ال Kennedy theorem هكون عندي I
+
+736
+01:22:17,080 --> 01:22:23,400
+I اتنين تلاتة و I اتنين اربعة و I تلاتة اربعة نفس
+
+737
+01:22:23,400 --> 01:22:28,280
+الاستقالة و الان انت تطلع عليهم I اتنين تلاتة هيها
+
+738
+01:22:28,280 --> 01:22:44,340
+و I تلاتة اربعة هيها معناته
+
+739
+01:22:44,340 --> 01:22:46,380
+طبقا اللي كانت ال theorem هيكون عندي
+
+740
+01:22:49,580 --> 01:22:57,320
+I اتنين تلاتة و I تلاتة اربعة و I اتنين اربعة
+
+741
+01:22:57,320 --> 01:22:59,140
+جايين على خط هذا
+
+742
+01:23:26,290 --> 01:23:35,290
+هاخد واحد واتنين واربعة هاخد links links واحد
+
+743
+01:23:35,290 --> 01:23:48,070
+واتنين واربعة هكوندي I واحد اتنين و I اتنين اربعة
+
+744
+01:23:48,070 --> 01:23:54,090
+و I واحد اربعة على نفس الاستقامة
+
+745
+01:23:57,410 --> 01:24:09,210
+I هاي I واحد هاي I واحد اتنين وعندي I واحد اربعة I
+
+746
+01:24:09,210 --> 01:24:13,710
+واحد اربعة it goes to infinity معناته هذا انا ممكن
+
+747
+01:24:13,710 --> 01:24:20,250
+أنقله هنا معناته هنا حسينا عندي هين هين
+
+748
+01:24:20,250 --> 01:24:23,850
+عندي I واحد اربعة ممكن اجيه هنا واحد اربعة at
+
+749
+01:24:23,850 --> 01:24:25,490
+infinity
+
+750
+01:24:27,320 --> 01:24:31,980
+معناته حيكون عندي I12 و I1 و I24 على نفس الخط هذا
+
+751
+01:24:31,980 --> 01:24:40,920
+و I24 على نفس الخط هذا لو مديت الخط هذا هذا يمثل
+
+752
+01:24:40,920 --> 01:24:49,100
+I24 معناته انا ا find all the instance centers هذا
+
+753
+01:24:49,100 --> 01:24:49,840
+المطلوب الأول
+
+754
+01:24:54,430 --> 01:24:59,130
+طيب المطلوب التاني بده .. بده سرعة ال slider عند a
+
+755
+01:24:59,130 --> 01:25:07,730
+و بده السرعة الزاوية لل connecting rod a,b هشتغل
+
+756
+01:25:07,730 --> 01:25:14,170
+شوية geometry الآن
+
+757
+01:25:14,170 --> 01:25:16,710
+اتطلع عند الزاوية .. انا عندي .. عندي هايم مثلث
+
+758
+01:25:16,710 --> 01:25:26,930
+مثلثمعروف في ضلع، ضلعين وزاوية، لأن لو نزلت عمودي
+
+759
+01:25:26,930 --> 01:25:30,730
+N
+
+760
+01:25:30,730 --> 01:25:38,990
+سميت هذه C بي سي
+
+761
+01:25:38,990 --> 01:25:47,130
+بي سي واقع في المثلث OCB و برضه بي سي واقع في
+
+762
+01:25:47,130 --> 01:25:58,270
+المثلثACB لو سميتها في الزاوية في الـ PHY SIN
+
+763
+01:25:58,270 --> 01:26:08,610
+PHY او بي سي بي سي
+
+764
+01:26:08,610 --> 01:26:13,630
+بتساوي لما تكون واقع المثلث ACB
+
+765
+01:26:15,340 --> 01:26:21,800
+هتكون بتساوي ab في sign الفي بيساوي ab في sign
+
+766
+01:26:21,800 --> 01:26:28,920
+الفي وبرضه بتساوي ob في sign الخمس واربعين بيساوي
+
+767
+01:26:28,920 --> 01:26:32,680
+ob في
+
+768
+01:26:32,680 --> 01:26:40,680
+sign الخمس واربعين معناته ال ab ال sign الفي
+
+769
+01:26:40,680 --> 01:26:50,820
+هتساوي ال ob اللي هومية ع الأي بي أربعة مية في
+
+770
+01:26:50,820 --> 01:26:59,620
+sign الخمسة واربعين درجة ومنها بحسب الفايل منها
+
+771
+01:26:59,620 --> 01:27:06,180
+بحسب الفايل يعني نصات زوها دي معروفة
+
+772
+01:27:15,370 --> 01:27:20,750
+الان المثلث خلينا نسميها C و نسمي نقطة هذه D
+
+773
+01:27:20,750 --> 01:27:25,750
+المثلث
+
+774
+01:27:25,750 --> 01:27:39,890
+OAD
+
+775
+01:27:39,890 --> 01:27:42,270
+هذا المثلث
+
+776
+01:27:45,300 --> 01:27:53,480
+او اد قائم الزاوية في ايه؟ هذي خمس و أربعين،
+
+777
+01:27:53,480 --> 01:27:58,760
+معناته هذي هتكون برضه ايش؟
+
+778
+01:27:58,760 --> 01:27:59,700
+خمس و أربعين
+
+779
+01:28:19,100 --> 01:28:26,680
+طيب خناخد المثالث O B A انا عارف زاوية هذه خمس و
+
+780
+01:28:26,680 --> 01:28:31,660
+أربعين و هذه الـ Phi already حسبتها معناته هذه
+
+781
+01:28:31,660 --> 01:28:34,300
+الزاوية بقدر احسبها ولا ماقدراش احسبها؟ هذه بقدر
+
+782
+01:28:34,300 --> 01:28:43,420
+احسبها هذه الزاوية هسميها Beta Beta
+
+783
+01:28:43,420 --> 01:28:47,880
+هتكون تساوي Beta
+
+784
+01:28:52,230 --> 01:29:01,050
+كنت سوى مية و تمانين ناقص خمسة و أربعين ناقص في
+
+785
+01:29:01,050 --> 01:29:10,130
+اللي حسبتها صارت Beta معروفة معناه المثلث OBA كل
+
+786
+01:29:10,130 --> 01:29:14,690
+الزوايا معروفة فيه وفي ضلعين معروفين
+
+787
+01:29:16,880 --> 01:29:20,280
+معناته أما أستخدم الـSin Low أو الـCos Low عشان
+
+788
+01:29:20,280 --> 01:29:28,900
+أحسب الـOA لو استخدمت الـCos Low إذا بدي أستخدم
+
+789
+01:29:28,900 --> 01:29:38,120
+الـSin Low أسهل أحكي أن OA على
+
+790
+01:29:38,120 --> 01:29:44,460
+Sin Beta بالسوء
+
+791
+01:29:44,460 --> 01:29:44,880
+AB
+
+792
+01:29:49,130 --> 01:29:55,250
+على sign الخمسة واربعين يعني ال OE اللي انا بدي
+
+793
+01:29:55,250 --> 01:30:06,130
+احسبه OE هتسوى AB اللي هو أربعمية في ال sign ال
+
+794
+01:30:06,130 --> 01:30:13,230
+beta على sign الخمسة واربعين معناته OE صار معروف
+
+795
+01:30:13,230 --> 01:30:17,830
+عندى OE صار معروف
+
+796
+01:30:30,630 --> 01:30:43,390
+طيب الان طالما O A معروف والمثلث O A D قائم
+
+797
+01:30:43,390 --> 01:30:48,970
+الزاوية المثلث O
+
+798
+01:30:50,880 --> 01:31:02,780
+اد قائم الزاوية عند a معناته او دي او دي تربيع
+
+799
+01:31:02,780 --> 01:31:06,780
+هتكون
+
+800
+01:31:06,780 --> 01:31:16,580
+تستوي او اي تربيع زي ادي تربيعواحنا عارفين هذا
+
+801
+01:31:16,580 --> 01:31:18,320
+خمسة واربعين خمسة واربعين خمسة واربعين خمسة
+
+802
+01:31:18,320 --> 01:31:18,560
+واربعين خمسة واربعين خمسة واربعين خمسة واربعين
+
+803
+01:31:18,560 --> 01:31:19,080
+خمسة واربعين خمسة واربعين خمسة واربعين خمسة
+
+804
+01:31:19,080 --> 01:31:21,020
+واربعين خمسة واربعين خمسة واربعين خمسة واربعين
+
+805
+01:31:21,020 --> 01:31:25,080
+خمسة واربعين خمسة واربعين خمسة واربعين خمسة
+
+806
+01:31:25,080 --> 01:31:36,120
+واربعين خمسة واربعين خمسة واربعين خمسة واربعين
+
+807
+01:31:36,120 --> 01:31:44,660
+خمسة واربعين خمسة واربعين خمسة واربعين
+
+808
+01:31:48,090 --> 01:31:55,790
+هتساوي OD اللي انا حسبته ناقص OB اللي هو مية
+
+809
+01:31:55,790 --> 01:32:04,870
+بتعوضه وبتحسبه ب D اللي
+
+810
+01:32:04,870 --> 01:32:13,350
+هو السرعة الزاوية للي crank عشر radians clockwise
+
+811
+01:32:13,350 --> 01:32:15,590
+ممكن احسس سرعة النقطة B
+
+812
+01:32:22,480 --> 01:32:32,300
+VB VB عمودية على OB VB VB
+
+813
+01:32:32,300 --> 01:32:37,080
+لما تكون واقع على ال crank اللي هي OB بتكون سوى
+
+814
+01:32:37,080 --> 01:32:44,820
+Omega 2 هي سرعة زي الكرانك في OB بتساوي
+
+815
+01:32:46,740 --> 01:32:51,320
+إذا اعتبرت النقطة B واقع الـ Connecting Rod AB
+
+816
+01:32:51,320 --> 01:32:57,240
+هتكون ساوية Omega 3 اللي هي السرعة الزاوية للـ
+
+817
+01:32:57,240 --> 01:33:02,860
+Connecting Rod في BD
+
+818
+01:33:02,860 --> 01:33:15,240
+معناته Omega 3 هتكون تساوية Omega 2 في AB على
+
+819
+01:33:26,040 --> 01:33:34,120
+BD طيب الان
+
+820
+01:33:34,120 --> 01:33:37,580
+واضح
+
+821
+01:33:37,580 --> 01:33:40,340
+انه counter clockwise
+
+822
+01:33:45,230 --> 01:33:52,930
+هتكون في اللحظة هذه هتكون VA VA
+
+823
+01:33:52,930 --> 01:33:58,290
+صورة ال slider ال A ممكن اعتبر واقع ال slider و
+
+824
+01:33:58,290 --> 01:34:00,650
+ممكن اعتبر واقع ال connecting rod اذا كانت واقع ال
+
+825
+01:34:00,650 --> 01:34:09,190
+connecting rod هتكون تستوى Omega تلاتة في A
+
+826
+01:34:09,190 --> 01:34:12,710
+D
+
+827
+01:34:21,380 --> 01:34:25,980
+طبعا omega 3 already حسبناها و O D و A D بالساوية
+
+828
+01:34:25,980 --> 01:34:30,460
+اللي هي O A already حسبناها و منها بحسب اللي هو
+
+829
+01:34:30,460 --> 01:34:44,180
+صورة ال slider VA طبعا جاي بتجاه اليمين طب
+
+830
+01:34:44,180 --> 01:34:45,600
+انحل مثال تاني
+
+831
+01:35:17,860 --> 01:35:35,080
+عندي ميكانزم معطيني الأطوال OA و AB و BC و CD و BA
+
+832
+01:35:35,080 --> 01:35:41,420
+و الارتفاع هذا معطيني كل الأطوال عند الكرانك OA
+
+833
+01:35:41,420 --> 01:35:48,560
+هذا الكرانك OAبتدور بسرعة زاوية منتظرة باتجاه حتة
+
+834
+01:35:48,560 --> 01:35:54,540
+ساعة بيبقى مائة و عشرين rpm بدنا يعني أهم شي بدي
+
+835
+01:35:54,540 --> 01:35:57,540
+أعمل .. بدي أركز انا how to locate ال instance
+
+836
+01:35:57,540 --> 01:36:02,360
+centers I want to locate ال instance centers لهذه
+
+837
+01:36:02,360 --> 01:36:06,200
+ال mechanism أول
+
+838
+01:36:06,200 --> 01:36:11,360
+شي بدي أرقم ال link يعني هاي ال link رقم واحد اللي
+
+839
+01:36:11,360 --> 01:36:17,030
+هي الأرضعندي هذا ال link رقم اتنين اللي هي OA عندي
+
+840
+01:36:17,030 --> 01:36:28,330
+AB link رقم تلاتة عندي BC link رقم أربعة عندي CD
+
+841
+01:36:28,330 --> 01:36:37,330
+link رقم خمسة وعندي ال slider link رقم ستة وهذا ال
+
+842
+01:36:37,330 --> 01:36:47,180
+link رقم ومعناته انا عنديستة links عندي n بيساوي
+
+843
+01:36:47,180 --> 01:36:51,000
+ستة معناته number of instant centers هيكون سوى n
+
+844
+01:36:51,000 --> 01:36:58,060
+في n ناقص واحد هيساوي ستة في خمسة على اتنين طبعا
+
+845
+01:36:58,060 --> 01:37:04,320
+هيطلع خمستاشر instant center خمستاشر instant
+
+846
+01:37:04,320 --> 01:37:06,760
+center الآن
+
+847
+01:37:09,100 --> 01:37:12,760
+الان هكون فيها تفاصيل هذه الان عندي هاي ال
+
+848
+01:37:12,760 --> 01:37:21,840
+instance centers عندي
+
+849
+01:37:21,840 --> 01:37:28,060
+هاي واحد اتنين تلاتة
+
+850
+01:37:32,000 --> 01:37:41,000
+اربع خمسة هاي ستة هاي link واحد اتنين تلاتة اربع
+
+851
+01:37:41,000 --> 01:37:47,520
+خمسة ستة الان
+
+852
+01:37:47,520 --> 01:37:51,700
+واحد هتكون واحد مع اتنين هاي instance واحد اتنين
+
+853
+01:37:51,700 --> 01:37:57,320
+واحد مع تلاتة واحد مع اربع واحد مع خمسة واحد مع
+
+854
+01:37:57,320 --> 01:37:57,800
+ستة
+
+855
+01:38:04,670 --> 01:38:08,610
+الان واحد اتنين already عملت يعني اتنين مع تلاتة
+
+856
+01:38:08,610 --> 01:38:15,730
+اتنين مع اربعة اتنين مع خمسة و اتنين مع ستة تلاتة
+
+857
+01:38:15,730 --> 01:38:24,890
+مع اربعة و تلاتة مع خمسة تلاتة مع ستة بعدين عندي
+
+858
+01:38:24,890 --> 01:38:34,060
+اربعة مع خمسة و اربعة مع ستة و خمسة مع ستةعندي
+
+859
+01:38:34,060 --> 01:38:37,320
+واحد، اتنين، تلاتة، اربعة، خمسة، ستة، سبعة، تانية،
+
+860
+01:38:37,320 --> 01:38:40,360
+تسعة، عشر، أحداشر، اتناشر، تلاتاشر، اربعتاشر،
+
+861
+01:38:40,360 --> 01:38:51,120
+خمستاشر Instant Center معناته مية في المية أول
+
+862
+01:38:51,120 --> 01:38:53,480
+الشيء أسهل طريقة بده أعرف في ال fixed Instant
+
+863
+01:38:53,480 --> 01:39:00,280
+Centers عندي هنا هذا fixed
+
+864
+01:39:02,110 --> 01:39:11,070
+هي اي واحد اتنين صار معروف هاي واحد اتنين معروف
+
+865
+01:39:11,070 --> 01:39:19,590
+وعندي هاد اي واحد
+
+866
+01:39:19,590 --> 01:39:29,370
+اربعة معروف هاي واحد اربعة وعندي
+
+867
+01:39:31,960 --> 01:39:39,720
+واحد ستة goes to infinity I واحد
+
+868
+01:39:39,720 --> 01:39:51,920
+ستة at infinity I واحد ستة طيب
+
+869
+01:39:51,920 --> 01:39:55,500
+الان
+
+870
+01:39:55,500 --> 01:39:58,120
+بين اتنين و تلاتة
+
+871
+01:40:01,520 --> 01:40:08,120
+بين اتنين و تلاتة هذا اي اتنين
+
+872
+01:40:08,120 --> 01:40:16,200
+تلاتة بين
+
+873
+01:40:16,200 --> 01:40:20,280
+تلاتة و اربعة هاي
+
+874
+01:40:20,280 --> 01:40:22,720
+اي تلاتة اربعة
+
+875
+01:40:30,790 --> 01:40:45,830
+بين أربعة و خمسة هاي I أربعة و خمسة بين
+
+876
+01:40:45,830 --> 01:40:53,890
+خمسة و ستة هاي I خمسة و ستة
+
+877
+01:40:59,020 --> 01:41:01,300
+يعني نعرف اللي هتطلع اذا واحد اتنين تلاتة اربعة
+
+878
+01:41:01,300 --> 01:41:09,560
+خمسة ستة سبعة اعرفنا ستة سبعة instant centers الان
+
+879
+01:41:09,560 --> 01:41:15,240
+بدي احاول اجيب I واحد تلاتة I واحد تلاتة هاخد
+
+880
+01:41:15,240 --> 01:41:23,020
+links واحد و اتنين links واحد
+
+881
+01:41:23,020 --> 01:41:28,250
+و اتنين و تلاتة هكون عند ال instant center Iاحد
+
+882
+01:41:28,250 --> 01:41:33,570
+اتنين و I واحد تلاتة و I اتنين تلاتة على نفس
+
+883
+01:41:33,570 --> 01:41:36,410
+الاستقبال تبقى اللي كان ده theorem يعني اندي I I
+
+884
+01:41:36,410 --> 01:41:44,030
+واحد اتنين و I اتنين تلاتة و I واحد تلاتة هكون على
+
+885
+01:41:44,030 --> 01:41:52,610
+نفس الخط هذا I
+
+886
+01:41:52,610 --> 01:41:53,690
+واحد تلاتة
+
+887
+01:41:56,530 --> 01:42:03,310
+هيكون واقع الخط هذا مش عارفين هو مكانه هاخد
+
+888
+01:42:03,310 --> 01:42:10,810
+واحد واربعة وتلاتة length length واحد واربعة
+
+889
+01:42:10,810 --> 01:42:18,750
+وتلاتة اي واحد اربعة و اي واحد تلاتة و اي تلاتة
+
+890
+01:42:18,750 --> 01:42:22,310
+اربعة هيكونوا على نفس الاستقبال انا عند اي تلاتة
+
+891
+01:42:22,310 --> 01:42:28,140
+اربعةو I14 معناته هيكون عندي هنا لو مديت هذا الخط
+
+892
+01:42:28,140 --> 01:42:32,660
+هكون
+
+893
+01:42:32,660 --> 01:42:41,820
+I13 واقع الخط هذا و واقع الخط معناته هذه تمثل I13
+
+894
+01:42:41,820 --> 01:42:48,960
+عرفنا I13 I13
+
+895
+01:43:11,070 --> 01:43:20,970
+لو خدت link أربعة و .. خدنا نشوف مين أوجد في الأول
+
+896
+01:43:20,970 --> 01:43:28,310
+عند اتنين أربعة هاخد
+
+897
+01:43:28,310 --> 01:43:34,450
+link links انا
+
+898
+01:43:34,450 --> 01:43:41,240
+بدي أعرف واحد خمسة هاخد واحدو أربعة و خمسة ال
+
+899
+01:43:41,240 --> 01:43:47,740
+links واحد و أربعة و خمسة هيكون دي I واحد أربعة و
+
+900
+01:43:47,740 --> 01:43:54,460
+I واحد خمسة و I أربعة خمسة يعني دي I واحد أربعة I
+
+901
+01:43:54,460 --> 01:44:00,860
+I واحد أربعة و هاي I أربعة خمسة I واحد خمسة هيكون
+
+902
+01:44:00,860 --> 01:44:09,880
+هاي I واحد خمسة على الخط هذا الواقعبعدين هاخد
+
+903
+01:44:09,880 --> 01:44:16,400
+links links واحد
+
+904
+01:44:16,400 --> 01:44:25,240
+و خمسة و ستة هكون عندي I واحد خمسة و I واحد ستة و
+
+905
+01:44:25,240 --> 01:44:31,520
+I خمسة ستة واقعين على نفس الخط الآن هاي I واحد ستة
+
+906
+01:44:31,520 --> 01:44:32,720
+و I خمس ستة همد
+
+907
+01:44:37,090 --> 01:44:42,410
+هكون عندى معناته هد هن هكون اي واحد خمسة معناته هى
+
+908
+01:44:42,410 --> 01:44:50,750
+اي واحد خمسة جاى على التقطع هى اي واحد خمسة هى
+
+909
+01:44:50,750 --> 01:44:56,130
+خلصنا من هد اي
+
+910
+01:44:56,130 --> 01:45:07,370
+واحد خمسة خلينا نشوف الاي اتنين اربعةهاخد links
+
+911
+01:45:07,370 --> 01:45:10,990
+links
+
+912
+01:45:10,990 --> 01:45:16,130
+124
+
+913
+01:45:16,130 --> 01:45:25,010
+هيكون عندي I12 و I14 و I24 على نفس الاستقامة هي
+
+914
+01:45:25,010 --> 01:45:33,670
+I12 هي I12 و هي I14 معناه ان I24 وقع على الخط هذا
+
+915
+01:45:37,450 --> 01:45:52,390
+واقع على الخط هذا بتاخد
+
+916
+01:45:52,390 --> 01:45:56,630
+links اتنين
+
+917
+01:45:56,630 --> 01:46:03,690
+و تلاتة و اربعة هكون دي I اتنين تلاتة و I اتنين
+
+918
+01:46:03,690 --> 01:46:08,140
+اربعةو I تلاتة اربعة واقعية نفس الخط الان عندي هاي
+
+919
+01:46:08,140 --> 01:46:13,440
+I اتنين تلاتة و هاي I تلاتة اربعة معناته I اتنين
+
+920
+01:46:13,440 --> 01:46:22,480
+اربعة هيكون واقع الخط هذا معناته هذا I اتنين اربعة
+
+921
+01:46:22,480 --> 01:46:30,380
+اعرفني I اتنين اربعة بدي
+
+922
+01:46:30,380 --> 01:46:39,020
+اعرف I اتنين خمسة هاخدالـ Length واحد
+
+923
+01:46:39,020 --> 01:46:45,420
+و اتنين و خمسة هيكون عندي I واحد اتنين و I واحد
+
+924
+01:46:45,420 --> 01:46:51,120
+خمسة و I اتنين خمسة على نفس الاستقابة I واحد اتنين
+
+925
+01:46:51,120 --> 01:46:55,160
+هي I واحد اتنين و I واحد خمسة هيه
+
+926
+01:47:06,410 --> 01:47:25,690
+هيكون اي و اي اتنين و خمسة واكة على نفس الخط هاخد
+
+927
+01:47:25,690 --> 01:47:26,170
+links
+
+928
+01:47:29,540 --> 01:47:37,540
+اتنين واربعة وخمسة هكذا عند I اتنين اربعة و I
+
+929
+01:47:37,540 --> 01:47:47,340
+اربعة خمسة و I اتنين خمسة واقعي على نفس الخط الآن
+
+930
+01:47:47,340 --> 01:47:54,060
+عند I اتنين اربعة هيو و
+
+931
+01:47:54,060 --> 01:47:57,880
+I اربعة خمسة هيو
+
+932
+01:48:00,840 --> 01:48:07,480
+و I 2 الخمسة معناته لو وصلت هدول و
+
+933
+01:48:07,480 --> 01:48:11,520
+مديت معناه I 2 الخمسة هكون واقع الخط هذا و واقع
+
+934
+01:48:11,520 --> 01:48:20,880
+الخط معناته هذا I هذا I 2 خمسة معناته I 2 الخمسة
+
+935
+01:48:20,880 --> 01:48:21,780
+صار معروف عنها
+
+936
+01:48:29,990 --> 01:48:39,010
+بنجيب اي اتنين ستة هاخد links واحد
+
+937
+01:48:39,010 --> 01:48:45,210
+و اتنين و ستة هكون اندي اي واحد اتنين و اي واحد
+
+938
+01:48:45,210 --> 01:48:50,910
+ستة و اي اتنين ستة و اقيم على نفس الخط الان هاي اي
+
+939
+01:48:50,910 --> 01:48:58,450
+واحد اتنين اي واحد ستة ممكن انقله هنا هاي اي واحد
+
+940
+01:48:58,450 --> 01:48:59,170
+ستة كمان
+
+941
+01:49:11,430 --> 01:49:14,810
+و آية اتنين ستة طبعا آية اتنين ستة هيكون ملاقية
+
+942
+01:49:14,810 --> 01:49:22,430
+على نفس الخط هذا الان هاخد link
+
+943
+01:49:22,430 --> 01:49:27,970
+links
+
+944
+01:49:27,970 --> 01:49:32,430
+اتنين
+
+945
+01:49:32,430 --> 01:49:41,170
+و ستة اتنين و تلاتة اتنين و تلاتة
+
+946
+01:49:46,490 --> 01:49:58,210
+و اتنين و خمسة و ستة اتنين و خمسة و ستة حيكون عندي
+
+947
+01:49:58,210 --> 01:50:06,150
+I اتنين خمسة و I اتنين ستة و I خمس ستة على نفس
+
+948
+01:50:06,150 --> 01:50:12,350
+الاصطقام I اتنين خمسة هاي I اتنين خمسة وعندي I
+
+949
+01:50:12,350 --> 01:50:27,220
+خمسة ستة وين I خمسة ستةاللي هو هذا خدونا نوصلهم و
+
+950
+01:50:27,220 --> 01:50:39,280
+مد هذا هتكون I 26 هخلصهم
+
+951
+01:50:39,280 --> 01:50:40,140
+I 26
+
+952
+01:50:47,940 --> 01:50:55,520
+اللي أنا هشوف تلاتة خمسة هاخد links واحد
+
+953
+01:50:55,520 --> 01:51:04,000
+و تلاتة و خمسة هيكون عندي I13 و I15 و I35 على نفس
+
+954
+01:51:04,000 --> 01:51:13,020
+الاستقامة أنا عند I13 هيها و
+
+955
+01:51:13,020 --> 01:51:15,980
+I15 هيها
+
+956
+01:51:18,430 --> 01:51:21,470
+معناته هتكون I تلاتة خمسة واقع على الخط هذا I
+
+957
+01:51:21,470 --> 01:51:28,350
+تلاتة خمسة برضه
+
+958
+01:51:28,350 --> 01:51:33,630
+I تلاتة خمسة واقع على الخط هذا هاخد
+
+959
+01:51:33,630 --> 01:51:42,490
+بعدين links اتنين
+
+960
+01:51:42,490 --> 01:51:52,180
+و تلاتة و خمسة هكون عندي Iإنين تلاتة و آية تلاتة
+
+961
+01:51:52,180 --> 01:52:04,760
+خمسة و آية .. آية إتنين تلاتة و آية إتنين خمسة
+
+962
+01:52:04,760 --> 01:52:12,040
+لأن آية إتنين تلاتة already هي آية إتنين تلاتة
+
+963
+01:52:16,580 --> 01:52:21,140
+و آية تلاتة خمسة اللي أنا مش عارفها و آية اتنين
+
+964
+01:52:21,140 --> 01:52:30,060
+خمسة هاي آية اتنين خمسة آية
+
+965
+01:52:30,060 --> 01:52:33,460
+اتنين خمسة و آية اتنين تلاتة
+
+966
+01:52:40,220 --> 01:52:44,120
+هيكون I تلاتة خمسة متقاطعة أنا الرسم مش دقيق
+
+967
+01:52:44,120 --> 01:52:48,820
+فهتبين معناه الآن بنفس الطريقة .. بنفس الطريقة لأن
+
+968
+01:52:48,820 --> 01:52:54,380
+أنا كرتها كتير بحسب I تلاتة ستة و I أربعة ستة الآن
+
+969
+01:52:54,380 --> 01:52:56,960
+هتشوفوا الحل هنا جاهز complete
+
+970
+01:53:13,300 --> 01:53:18,640
+هاي كل ال incense centers هاي عندى
+
+971
+01:53:18,640 --> 01:53:33,540
+I12 I .. I12 I13 I14 I15 I1 .. I1 تبقى في نقمة
+
+972
+01:53:33,540 --> 01:53:41,120
+النهاية فعندى I23 I24
+
+973
+01:53:42,290 --> 01:53:50,550
+هو I اتنين خمسة وين I اتنين خمسة مش
+
+974
+01:53:50,550 --> 01:53:54,870
+مبينة هنا انهم بتتبعوا هذا الحل كامل انا وضحت كذا
+
+975
+01:53:54,870 --> 01:54:03,170
+مرة المحاضرة الجاية بنكمل في chapter جديد اللي هو
+
+976
+01:54:03,170 --> 01:54:04,330
+simple mechanisms
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/seh-GJGlwHc_raw.json b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/seh-GJGlwHc_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..2026be3dcf614b86cfed324ec8f2582654da3aa5
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/seh-GJGlwHc_raw.json
@@ -0,0 +1 @@
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"end": 521.4, "text": "if I trace تتبعت مراكز الدوران اللحظي هتكون نفس المستوى اللي بتدحرج عليه الدولاب معناته هذا المستوى اللي بتدحرج عليه الدولاب هو هيكون كل ال instant centers واقع عليه هذا بسميه ال space centroid", "tokens": [351, 286, 13508, 6055, 2655, 3555, 34268, 3714, 23557, 4117, 11622, 32748, 13063, 7649, 13672, 5016, 19913, 1829, 8032, 2655, 30544, 8717, 36178, 9673, 14851, 2407, 7578, 13672, 1829, 39894, 3215, 5016, 47341, 47356, 32748, 12610, 16758, 20449, 8315, 47395, 23758, 9673, 14851, 2407, 7578, 13672, 1829, 39894, 3215, 5016, 47341, 47356, 32748, 12610, 16758, 31439, 8032, 1829, 30544, 28242, 2423, 9836, 10898, 36764, 4587, 3615, 47356, 23758, 4724, 38251, 1829, 3224, 2423, 1901, 1489, 6490], "avg_logprob": -0.1823254901093322, "compression_ratio": 1.8275862068965518, "no_speech_prob": 0.0, "words": [{"start": 494.5, "end": 494.8, "word": "if", "probability": 0.223388671875}, {"start": 494.8, "end": 495.12, "word": " I", "probability": 0.8408203125}, {"start": 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{"start": 501.18, "end": 501.78, "word": " معناته", "probability": 0.9020182291666666}, {"start": 501.78, "end": 502.16, "word": " هذا", "probability": 0.736328125}, {"start": 502.16, "end": 504.6, "word": " المستوى", "probability": 0.972900390625}, {"start": 504.6, "end": 504.72, "word": " اللي", "probability": 0.988525390625}, {"start": 504.72, "end": 505.1, "word": " بتدحرج", "probability": 0.976806640625}, {"start": 505.1, "end": 505.26, "word": " عليه", "probability": 0.9814453125}, {"start": 505.26, "end": 506.0, "word": " الدولاب", "probability": 0.9931640625}, {"start": 506.0, "end": 507.26, "word": " هو", "probability": 0.8408203125}, {"start": 507.26, "end": 508.22, "word": " هيكون", "probability": 0.7763671875}, {"start": 508.22, "end": 509.1, "word": " كل", "probability": 0.95751953125}, {"start": 509.1, "end": 509.22, "word": " ال", "probability": 0.93212890625}, {"start": 509.22, "end": 509.42, "word": " instant", "probability": 0.36767578125}, {"start": 509.42, "end": 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فيها دائرة النقاط هذه هيمر فيها دائرة الدائرة هذه بتمثل شكل الدولاب", "tokens": [2655, 29399, 9957, 2035, 6055, 1211, 9307, 3660, 5551, 25513, 27884, 16490, 2304, 3794, 3660, 6156, 7578, 18871, 16254, 6225, 3215, 3215, 5296, 7649, 3224, 8717, 4587, 41193, 28239, 4587, 41193, 29538, 39896, 29973, 8978, 11296, 11778, 16373, 25720, 28239, 4587, 41193, 29538, 39896, 29973, 8978, 11296, 11778, 16373, 25720, 32748, 16373, 25720, 29538, 39894, 2304, 12984, 1211, 13412, 28820, 32748, 12610, 16758], "avg_logprob": -0.23291016253642738, "compression_ratio": 1.7410071942446044, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 581.54, "end": 582.44, "word": "تنتين", "probability": 0.7804361979166666}, {"start": 582.44, "end": 583.8, "word": " whatever", "probability": 0.71337890625}, {"start": 583.8, "end": 584.96, "word": " تلاتة", "probability": 0.951904296875}, {"start": 584.96, "end": 585.84, "word": " أربعة", "probability": 0.7228190104166666}, {"start": 585.84, "end": 586.94, 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بدي أخد كأنه أنا في منطقة جبلية وهي الدولاب بدأت من النقطة هذه في اللحظة هذه هي ال instant center", "tokens": [10721, 8315, 5551, 9778, 3215, 2655, 9673, 14851, 2407, 7578, 5551, 5172, 38436, 4724, 16254, 5551, 9778, 3215, 9122, 33456, 3224, 41850, 8978, 9154, 9566, 28671, 10874, 36150, 10632, 37037, 1829, 32748, 12610, 16758, 47525, 10721, 2655, 9154, 28239, 47432, 3660, 29538, 8978, 13672, 5016, 19913, 3660, 29538, 39896, 2423, 9836, 3056], "avg_logprob": -0.1717275988380864, "compression_ratio": 1.4326241134751774, "no_speech_prob": 0.0, "words": [{"start": 712.6, "end": 712.88, "word": "أنا", "probability": 0.896484375}, {"start": 712.88, "end": 713.32, "word": " أخدت", "probability": 0.96826171875}, {"start": 713.32, "end": 714.48, "word": " المستوى", "probability": 0.9345703125}, {"start": 714.48, "end": 714.98, "word": " أفقي", "probability": 0.7547200520833334}, {"start": 714.98, "end": 715.34, "word": " بدي", "probability": 0.52325439453125}, {"start": 715.34, "end": 715.64, 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واقع على الطريق معناته هذا بسميه", "tokens": [21454, 777, 9836, 3056, 4724, 14851, 29973, 8978, 16712, 3215, 5016, 47341, 1090, 9836, 3056, 23032, 3555, 3615, 995, 23758, 1975, 1829, 8592, 38637, 16758, 2655, 20193, 5016, 19913, 14407, 2423, 450, 1149, 295, 439, 9836, 10898, 295, 341, 1772, 36764, 4587, 3615, 15844, 41950, 16572, 4587, 20449, 8315, 47395, 23758, 4724, 38251, 1829, 3224], "avg_logprob": -0.21051897002117975, "compression_ratio": 1.4303797468354431, "no_speech_prob": 0.0, "words": [{"start": 765.11, "end": 765.43, "word": "high", "probability": 0.08087158203125}, {"start": 765.43, "end": 765.75, "word": " new", "probability": 0.77978515625}, {"start": 765.75, "end": 766.05, "word": " instant", "probability": 0.7451171875}, {"start": 766.05, "end": 766.59, "word": " center", "probability": 0.7080078125}, {"start": 766.59, "end": 767.95, "word": " بستمر", "probability": 0.8082682291666666}, {"start": 767.95, "end": 768.13, "word": " في", "probability": 0.87890625}, 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"seek": 82209, "start": 794.71, "end": 822.09, "text": "الـ Space Centroid هذا الـ Space Centroid بالنسبة للدولاب الـ Space Centroid بالنسبة للدولاب الأن لو أخدت الدولاب و ثبته و أدحرج الطريقة يعني بديت أنا من هنا هذه الطريقة", "tokens": [6027, 39184, 8705, 3408, 6490, 23758, 2423, 39184, 8705, 3408, 6490, 20666, 1863, 35457, 3660, 24976, 3215, 12610, 16758, 2423, 39184, 8705, 3408, 6490, 20666, 1863, 35457, 3660, 24976, 3215, 12610, 16758, 16247, 1863, 45164, 5551, 9778, 3215, 2655, 32748, 12610, 16758, 4032, 38637, 3555, 47395, 4032, 5551, 3215, 5016, 47341, 41950, 16572, 28671, 37495, 22653, 47525, 36081, 41850, 9154, 34105, 29538, 41950, 16572, 28671], "avg_logprob": -0.21425188942389053, "compression_ratio": 1.8620689655172413, "no_speech_prob": 0.0, "words": [{"start": 794.71, "end": 795.07, "word": "الـ", "probability": 0.68701171875}, {"start": 795.07, "end": 795.59, "word": " Space", "probability": 0.50439453125}, {"start": 795.59, "end": 798.03, "word": " Centroid", 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907.69, "end": 932.29, "text": "اللي هو في الحالة هذه إيش الطريق ال road؟معناته من المثالين هدول المفروض واضحة بالنسبة لنا إيش الفرق بين ال space centroid و ال body centroid اللي احنا في بداية المحاضرة حكينا إنه في أكتر من طريقة لحساب", "tokens": [6027, 20292, 31439, 8978, 21542, 6027, 3660, 29538, 11933, 1829, 8592, 41950, 16572, 4587, 2423, 3060, 22807, 2304, 3615, 8315, 47395, 9154, 9673, 12984, 6027, 9957, 8032, 3215, 12610, 9673, 5172, 32887, 11242, 4032, 46958, 5016, 3660, 20666, 1863, 35457, 3660, 5296, 8315, 11933, 1829, 8592, 27188, 2288, 4587, 49374, 2423, 1901, 1489, 6490, 4032, 2423, 1772, 1489, 6490, 13672, 1829, 1975, 5016, 8315, 8978, 4724, 28259, 10632, 9673, 5016, 46958, 25720, 11331, 4117, 1829, 8315, 36145, 3224, 8978, 5551, 4117, 2655, 2288, 9154, 23032, 16572, 28671, 5296, 5016, 3794, 16758], "avg_logprob": -0.15905231642334358, "compression_ratio": 1.69, "no_speech_prob": 0.0, "words": [{"start": 907.69, "end": 907.95, "word": "اللي", "probability": 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"word": " theorem", "probability": 0.8974609375}, {"start": 1668.59, "end": 1669.07, "word": " بتحكي", "probability": 0.9561767578125}, {"start": 1669.07, "end": 1669.29, "word": " اذا", "probability": 0.690673828125}, {"start": 1669.29, "end": 1669.39, "word": " في", "probability": 0.7802734375}, {"start": 1669.39, "end": 1669.67, "word": " three", "probability": 0.5361328125}, {"start": 1669.67, "end": 1670.31, "word": " bodies", "probability": 0.83642578125}, {"start": 1670.31, "end": 1670.91, "word": " عندى", "probability": 0.5797119140625}, {"start": 1670.91, "end": 1671.17, "word": " تلت", "probability": 0.94287109375}, {"start": 1671.17, "end": 1671.75, "word": " اجسام", "probability": 0.8502197265625}], "temperature": 1.0}, {"id": 62, "seek": 170154, "start": 1674.02, "end": 1701.54, "text": "move relative to each other هدول التلت أجسام في حركة نسبية بينها يعني بتحركوا بالنسبة لبعض النتيجة they have three instant centers that lie on a straight line إذا عندي تلت أجسام تلت أجسام بتحركوا بالنسبة لبعض هيكون تلت مراكز دوران لحظية", "tokens": [76, 1682, 4972, 281, 1184, 661, 8032, 3215, 12610, 16712, 1211, 2655, 5551, 7435, 3794, 10943, 8978, 11331, 31747, 3660, 8717, 35457, 10632, 49374, 11296, 37495, 22653, 39894, 5016, 31747, 14407, 20666, 1863, 35457, 3660, 5296, 3555, 3615, 11242, 28239, 31371, 7435, 3660, 436, 362, 1045, 9836, 10898, 300, 4544, 322, 257, 2997, 1622, 11933, 15730, 18871, 16254, 6055, 1211, 2655, 5551, 7435, 3794, 10943, 6055, 1211, 2655, 5551, 7435, 3794, 10943, 39894, 5016, 31747, 14407, 20666, 1863, 35457, 3660, 5296, 3555, 3615, 11242, 39896, 30544, 6055, 1211, 2655, 3714, 23557, 4117, 11622, 11778, 13063, 7649, 5296, 5016, 19913, 10632], "avg_logprob": -0.09684406294681058, "compression_ratio": 1.7095238095238094, "no_speech_prob": 0.0, "words": [{"start": 1674.02, "end": 1674.6, "word": "move", "probability": 0.80224609375}, {"start": 1674.6, "end": 1675.08, "word": " relative", "probability": 0.97607421875}, {"start": 1675.08, "end": 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1699.3, "end": 1699.86, "word": " تلت", "probability": 0.9832356770833334}, {"start": 1699.86, "end": 1700.46, "word": " مراكز", "probability": 0.98828125}, {"start": 1700.46, "end": 1700.88, "word": " دوران", "probability": 0.9622395833333334}, {"start": 1700.88, "end": 1701.54, "word": " لحظية", "probability": 0.975830078125}], "temperature": 1.0}, {"id": 63, "seek": 172832, "start": 1703.28, "end": 1728.32, "text": "بتكون واقع على نفس الخط المستقيم يعني إذا كان لتلت أجسام و بتحركوا بالنسبة لبعض they will have three instance centers that lie on a straight line يعني نرجع لل four bar linkage نرجع لل four bar linkage", "tokens": [3555, 2655, 30544, 36764, 4587, 3615, 15844, 8717, 36178, 33962, 9566, 9673, 14851, 4587, 32640, 37495, 22653, 11933, 15730, 25961, 5296, 2655, 1211, 2655, 5551, 7435, 3794, 10943, 4032, 39894, 5016, 31747, 14407, 20666, 1863, 35457, 3660, 5296, 3555, 3615, 11242, 436, 486, 362, 1045, 5197, 10898, 300, 4544, 322, 257, 2997, 1622, 37495, 22653, 8717, 47341, 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اي", "probability": 0.966552734375}, {"start": 3141.15, "end": 3141.63, "word": " تلاتة", "probability": 0.96533203125}, {"start": 3141.63, "end": 3142.01, "word": " اربعة", "probability": 0.9368489583333334}], "temperature": 1.0}, {"id": 113, "seek": 316853, "start": 3144.69, "end": 3168.53, "text": "ضال عندى I 1 3 و I 2 4 إذا أخدت ال link 1 و 2 و 3 ال links ال links واحد", "tokens": [11242, 6027, 43242, 7578, 286, 502, 805, 4032, 286, 568, 1017, 11933, 15730, 5551, 9778, 3215, 2655, 2423, 2113, 502, 4032, 568, 4032, 805, 2423, 6123, 2423, 6123, 36764, 24401], "avg_logprob": -0.27973790322580644, "compression_ratio": 1.1785714285714286, "no_speech_prob": 0.0, "words": [{"start": 3144.69, "end": 3145.05, "word": "ضال", "probability": 0.58251953125}, {"start": 3145.05, "end": 3145.35, "word": " عندى", "probability": 0.6474609375}, {"start": 3145.35, "end": 3145.69, "word": " I", "probability": 0.62060546875}, {"start": 3145.69, "end": 3146.99, "word": " 1", "probability": 0.12109375}, 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اربعة", "probability": 0.9256184895833334}, {"start": 4586.07, "end": 4586.37, "word": " عند", "probability": 0.4970703125}, {"start": 4586.37, "end": 4586.57, "word": " ال", "probability": 0.96337890625}, {"start": 4586.57, "end": 4586.95, "word": " instant", "probability": 0.82275390625}, {"start": 4586.95, "end": 4587.43, "word": " centers", "probability": 0.97802734375}, {"start": 4587.43, "end": 4587.87, "word": " كلها", "probability": 0.989013671875}], "temperature": 1.0}, {"id": 160, "seek": 459772, "start": 4594.48, "end": 4597.72, "text": "موجودة هعمل دائرة", "tokens": [2304, 29245, 23328, 3660, 8032, 25957, 1211, 11778, 16373, 25720], "avg_logprob": -0.0821644203229384, "compression_ratio": 0.8205128205128205, "no_speech_prob": 0.0, "words": [{"start": 4594.4800000000005, "end": 4595.88, "word": "موجودة", "probability": 0.917724609375}, {"start": 4595.88, "end": 4597.28, "word": " هعمل", "probability": 0.9363606770833334}, {"start": 4597.28, "end": 4597.72, "word": " دائرة", "probability": 0.9117838541666666}], "temperature": 1.0}, {"id": 161, "seek": 464093, "start": 4616.05, "end": 4640.93, "text": "أول شي by inspection I will locate all fixed instance centers عندي هذه هذي instance center I12 هذي I12 هذي صار معروف I12 صار معروف", "tokens": [10721, 12610, 44049, 538, 22085, 286, 486, 22370, 439, 6806, 5197, 10898, 18871, 16254, 29538, 8032, 8848, 1829, 5197, 3056, 286, 4762, 8032, 8848, 1829, 286, 4762, 8032, 8848, 1829, 20328, 9640, 20449, 32887, 5172, 286, 4762, 20328, 9640, 20449, 32887, 5172], "avg_logprob": -0.30359737540400306, "compression_ratio": 1.3801652892561984, "no_speech_prob": 0.0, "words": [{"start": 4616.05, "end": 4616.37, "word": "أول", "probability": 0.964599609375}, {"start": 4616.37, "end": 4616.47, "word": " شي", "probability": 0.299560546875}, {"start": 4616.47, "end": 4616.63, "word": " by", "probability": 0.151611328125}, {"start": 4616.63, "end": 4617.15, "word": " inspection", "probability": 0.94921875}, {"start": 4617.15, 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"word": " I12", "probability": 0.781494140625}, {"start": 4630.47, "end": 4631.05, "word": " هذي", "probability": 0.76123046875}, {"start": 4631.05, "end": 4633.93, "word": " I12", "probability": 0.917724609375}, {"start": 4633.93, "end": 4636.35, "word": " هذي", "probability": 0.7303059895833334}, {"start": 4636.35, "end": 4636.63, "word": " صار", "probability": 0.7822265625}, {"start": 4636.63, "end": 4637.17, "word": " معروف", "probability": 0.994140625}, {"start": 4637.17, "end": 4637.97, "word": " I12", "probability": 0.974609375}, {"start": 4637.97, "end": 4640.45, "word": " صار", "probability": 0.95166015625}, {"start": 4640.45, "end": 4640.93, "word": " معروف", "probability": 0.9939778645833334}], "temperature": 1.0}, {"id": 162, "seek": 467687, "start": 4651.93, "end": 4676.87, "text": "اللي هو اي واحد اتنين fixed instance center فعندي و بعدين بدي اشوف ال pyramid instance center عندي هاي عندي هين اي اتنين تلاتة", "tokens": [6027, 20292, 31439, 1975, 1829, 36764, 24401, 1975, 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"word": " center", "probability": 0.8544921875}, {"start": 4660.29, "end": 4664.67, "word": " فعندي", "probability": 0.69677734375}, {"start": 4664.67, "end": 4665.89, "word": " و", "probability": 0.2607421875}, {"start": 4665.89, "end": 4666.23, "word": " بعدين", "probability": 0.9111328125}, {"start": 4666.23, "end": 4666.43, "word": " بدي", "probability": 0.3834228515625}, {"start": 4666.43, "end": 4666.67, "word": " اشوف", "probability": 0.91162109375}, {"start": 4666.67, "end": 4666.87, "word": " ال", "probability": 0.91015625}, {"start": 4666.87, "end": 4667.19, "word": " pyramid", "probability": 0.25244140625}, {"start": 4667.19, "end": 4667.51, "word": " instance", "probability": 0.9619140625}, {"start": 4667.51, "end": 4667.67, "word": " center", "probability": 0.302001953125}, {"start": 4667.67, "end": 4667.93, "word": " عندي", "probability": 0.6183268229166666}, {"start": 4667.93, "end": 4668.13, "word": " هاي", "probability": 0.5322265625}, {"start": 4668.13, "end": 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"compression_ratio": 1.518796992481203, "no_speech_prob": 0.0, "words": [{"start": 4687.94, "end": 4688.44, "word": "اتنين", "probability": 0.6393585205078125}, {"start": 4688.44, "end": 4689.0, "word": " تلاتة", "probability": 0.847412109375}, {"start": 4689.0, "end": 4689.9, "word": " permanent", "probability": 0.7080078125}, {"start": 4689.9, "end": 4690.32, "word": " instant", "probability": 0.69482421875}, {"start": 4690.32, "end": 4690.66, "word": " center", "probability": 0.87109375}, {"start": 4690.66, "end": 4690.9, "word": " هاي", "probability": 0.53643798828125}, {"start": 4690.9, "end": 4691.4, "word": " اتنين", "probability": 0.974365234375}, {"start": 4691.4, "end": 4692.92, "word": " مع", "probability": 0.93603515625}, {"start": 4692.92, "end": 4694.32, "word": " تلاتة", "probability": 0.8826904296875}, {"start": 4694.32, "end": 4703.5, "word": " و", "probability": 0.358642578125}, {"start": 4703.5, "end": 4703.7, "word": " بعد", "probability": 0.74951171875}, {"start": 4703.7, "end": 4703.88, "word": " ان", "probability": 0.5283203125}, {"start": 4703.88, "end": 4704.06, "word": " دي", "probability": 0.860595703125}, {"start": 4704.06, "end": 4704.24, "word": " بين", "probability": 0.97998046875}, {"start": 4704.24, "end": 4704.38, "word": " ال", "probability": 0.89208984375}, {"start": 4704.38, "end": 4704.78, "word": " slider", "probability": 0.8759765625}, {"start": 4704.78, "end": 4705.26, "word": " و", "probability": 0.8798828125}, {"start": 4705.26, "end": 4705.32, "word": " ال", "probability": 0.89892578125}, {"start": 4705.32, "end": 4705.6, "word": " connecting", "probability": 0.9033203125}, {"start": 4705.6, "end": 4705.88, "word": " rod", "probability": 0.76513671875}, {"start": 4705.88, "end": 4706.06, "word": " اللي", "probability": 0.91357421875}, {"start": 4706.06, "end": 4706.24, "word": " هي", "probability": 0.671875}, {"start": 4706.24, "end": 4706.68, "word": " تلاتة", "probability": 0.970703125}, {"start": 4706.68, "end": 4707.0, "word": " أربعة", "probability": 0.7996419270833334}, {"start": 4707.0, "end": 4707.38, "word": " I", "probability": 0.35009765625}, {"start": 4707.38, "end": 4713.68, "word": " تلاتة", "probability": 0.97216796875}, {"start": 4713.68, "end": 4714.86, "word": " أربعة", "probability": 0.9484049479166666}], "temperature": 1.0}, {"id": 164, "seek": 475163, "start": 4729.39, "end": 4751.63, "text": "الان ال slider is in pure translation معناته ال instant standard بتاعه هيكون في infinity I14 at infinity معناته I14 برضه ايش معروف", "tokens": [6027, 7649, 2423, 26046, 307, 294, 6075, 12853, 20449, 8315, 47395, 2423, 9836, 3832, 39894, 45761, 3224, 39896, 30544, 8978, 13202, 286, 7271, 412, 13202, 20449, 8315, 47395, 286, 7271, 4724, 43042, 3224, 1975, 1829, 8592, 20449, 32887, 5172], "avg_logprob": -0.27832029908895495, "compression_ratio": 1.27007299270073, "no_speech_prob": 0.0, "words": [{"start": 4729.39, "end": 4730.03, "word": "الان", "probability": 0.82177734375}, {"start": 4730.03, "end": 4730.83, "word": " ال", "probability": 0.75439453125}, {"start": 4730.83, "end": 4731.39, "word": " slider", "probability": 0.89892578125}, {"start": 4731.39, "end": 4732.25, "word": " is", "probability": 0.86767578125}, {"start": 4732.25, "end": 4732.47, "word": " in", "probability": 0.95068359375}, {"start": 4732.47, "end": 4733.01, "word": " pure", "probability": 0.86767578125}, {"start": 4733.01, "end": 4734.99, "word": " translation", "probability": 0.89697265625}, {"start": 4734.99, "end": 4736.59, "word": " معناته", "probability": 0.7981770833333334}, {"start": 4736.59, "end": 4736.75, "word": " ال", "probability": 0.8212890625}, {"start": 4736.75, "end": 4737.05, "word": " instant", "probability": 0.417724609375}, {"start": 4737.05, "end": 4737.37, "word": " standard", "probability": 0.422607421875}, {"start": 4737.37, "end": 4737.77, "word": " بتاعه", "probability": 0.853515625}, {"start": 4737.77, "end": 4738.25, "word": " هيكون", "probability": 0.841796875}, {"start": 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1.0}, {"id": 194, "seek": 565271, "start": 5625.23, "end": 5652.71, "text": "هتكون في اللحظة هذه هتكون VA VA صورة ال slider ال A ممكن اعتبر واقع ال slider و ممكن اعتبر واقع ال connecting rod اذا كانت واقع ال connecting rod هتكون تستوى Omega تلاتة في A D", "tokens": [3224, 2655, 30544, 8978, 13672, 5016, 19913, 3660, 29538, 8032, 2655, 30544, 18527, 18527, 20328, 13063, 3660, 2423, 26046, 2423, 316, 3714, 43020, 1975, 34268, 26890, 36764, 4587, 3615, 2423, 26046, 4032, 3714, 43020, 1975, 34268, 26890, 36764, 4587, 3615, 2423, 11015, 8685, 1975, 15730, 25961, 2655, 36764, 4587, 3615, 2423, 11015, 8685, 8032, 2655, 30544, 6055, 14851, 2407, 7578, 27645, 6055, 1211, 9307, 3660, 8978, 316, 413], "avg_logprob": -0.24954711181530054, "compression_ratio": 1.705128205128205, "no_speech_prob": 0.0, "words": [{"start": 5625.23, "end": 5625.79, "word": "هتكون", "probability": 0.8115234375}, {"start": 5625.79, "end": 5626.07, "word": " في", "probability": 0.91259765625}, {"start": 5626.07, "end": 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D بالساوية اللي هي O A already حسبناها و منها بحسب اللي هو صورة ال slider VA طبعا جاي بتجاه اليمين طب انحل مثال تاني", "tokens": [9566, 3555, 3615, 995, 10498, 805, 1217, 11331, 35457, 8315, 11296, 4032, 422, 413, 4032, 316, 413, 20666, 3794, 995, 2407, 10632, 13672, 1829, 39896, 422, 316, 1217, 11331, 35457, 8315, 11296, 4032, 9154, 11296, 4724, 5016, 35457, 13672, 1829, 31439, 20328, 13063, 3660, 2423, 26046, 18527, 23032, 3555, 3615, 995, 10874, 47302, 39894, 7435, 40294, 2423, 32640, 9957, 23032, 3555, 16472, 5016, 1211, 50113, 6027, 6055, 7649, 1829], "avg_logprob": -0.22075892367533276, "compression_ratio": 1.5316455696202531, "no_speech_prob": 0.0, "words": [{"start": 5661.38, "end": 5661.74, "word": "طبعا", "probability": 0.9261474609375}, {"start": 5661.74, "end": 5661.9, "word": " omega", "probability": 0.0797119140625}, {"start": 5661.9, "end": 5662.14, "word": " 3", "probability": 0.771484375}, {"start": 5662.14, "end": 5662.44, "word": " already", "probability": 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أربعة عندي CD link رقم خمسة وعندي ال slider link رقم ستة وهذا ال link رقم ومعناته انا عندي", "tokens": [3615, 1863, 16254, 23758, 2423, 2113, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 13672, 1829, 39896, 48424, 18871, 16254, 13838, 2113, 12602, 4587, 2304, 6055, 1211, 9307, 3660, 18871, 16254, 14359, 2113, 12602, 4587, 2304, 5551, 25513, 27884, 18871, 16254, 6743, 2113, 12602, 4587, 2304, 16490, 2304, 3794, 3660, 4032, 3615, 1863, 16254, 2423, 26046, 2113, 12602, 4587, 2304, 8608, 2655, 3660, 4032, 3224, 15730, 2423, 2113, 12602, 4587, 2304, 4032, 2304, 3615, 8315, 47395, 1975, 8315, 18871, 16254], "avg_logprob": -0.17431640364229678, "compression_ratio": 1.8714285714285714, "no_speech_prob": 0.0, "words": [{"start": 5772.87, "end": 5773.25, "word": "عندي", "probability": 0.8855794270833334}, {"start": 5773.25, "end": 5773.49, "word": " هذا", "probability": 0.43798828125}, {"start": 5773.49, "end": 5773.61, "word": " ال", "probability": 0.47119140625}, {"start": 5773.61, "end": 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"word": " اتنين", "probability": 0.777587890625}, {"start": 6430.67, "end": 6430.81, "word": " و", "probability": 0.71142578125}, {"start": 6430.81, "end": 6431.15, "word": " خمسة", "probability": 0.8594970703125}, {"start": 6431.15, "end": 6431.43, "word": " واكة", "probability": 0.5336100260416666}, {"start": 6431.43, "end": 6431.57, "word": " على", "probability": 0.79833984375}, {"start": 6431.57, "end": 6431.75, "word": " نفس", "probability": 0.99267578125}, {"start": 6431.75, "end": 6432.23, "word": " الخط", "probability": 0.964599609375}, {"start": 6432.23, "end": 6445.69, "word": " هاخد", "probability": 0.9026692708333334}, {"start": 6445.69, "end": 6446.17, "word": " links", "probability": 0.56005859375}], "temperature": 1.0}, {"id": 221, "seek": 647788, "start": 6449.54, "end": 6477.88, "text": "اتنين واربعة وخمسة هكذا عند I اتنين اربعة و I اربعة خمسة و I اتنين خمسة واقعي على نفس الخط الآن عند I اتنين اربعة هيو و I اربعة خمسة هيو", "tokens": [995, 2655, 1863, 9957, 4032, 9640, 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0.940673828125}, {"start": 6704.87, "end": 6704.97, "word": " و", "probability": 0.99560546875}, {"start": 6704.97, "end": 6705.91, "word": " خمسة", "probability": 0.9339599609375}, {"start": 6705.91, "end": 6706.91, "word": " هكون", "probability": 0.77490234375}, {"start": 6706.91, "end": 6707.17, "word": " عندي", "probability": 0.404296875}, {"start": 6707.17, "end": 6707.55, "word": " I", "probability": 0.97607421875}], "temperature": 1.0}, {"id": 229, "seek": 673204, "start": 6708.72, "end": 6732.04, "text": "إنين تلاتة و آية تلاتة خمسة و آية .. آية إتنين تلاتة و آية إتنين خمسة لأن آية إتنين تلاتة already هي آية إتنين تلاتة", "tokens": [28814, 1863, 9957, 6055, 1211, 9307, 3660, 4032, 19753, 10632, 6055, 1211, 9307, 3660, 16490, 2304, 3794, 3660, 4032, 19753, 10632, 4386, 19753, 10632, 11933, 2655, 1863, 9957, 6055, 1211, 9307, 3660, 4032, 19753, 10632, 11933, 2655, 1863, 9957, 16490, 2304, 3794, 3660, 5296, 33456, 19753, 10632, 11933, 2655, 1863, 9957, 6055, 1211, 9307, 3660, 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متقاطعة أنا الرسم مش دقيق فهتبين معناه الآن بنفس الطريقة .. بنفس الطريقة لأن أنا كرتها كتير بحسب I تلاتة ستة و I أربعة ستة الآن هتشوفوا الحل هنا جاهز complete", "tokens": [3224, 1829, 30544, 286, 6055, 1211, 9307, 3660, 16490, 2304, 3794, 3660, 44650, 4587, 41193, 27884, 41850, 34892, 38251, 37893, 11778, 38436, 4587, 6156, 3224, 2655, 3555, 9957, 20449, 8315, 3224, 6024, 48506, 44945, 36178, 41950, 16572, 28671, 4386, 44945, 36178, 41950, 16572, 28671, 5296, 33456, 41850, 9122, 43500, 11296, 9122, 2655, 13546, 4724, 5016, 35457, 286, 6055, 1211, 9307, 3660, 8608, 2655, 3660, 4032, 286, 5551, 25513, 27884, 8608, 2655, 3660, 6024, 48506, 8032, 2655, 8592, 38688, 14407, 21542, 1211, 34105, 10874, 40294, 11622, 3566], "avg_logprob": -0.16406250274044343, "compression_ratio": 1.6775956284153006, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 6760.22, "end": 6760.84, "word": "هيكون", "probability": 0.9264322916666666}, {"start": 6760.84, "end": 6761.24, "word": " I", 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الطريقة", "probability": 0.9881184895833334}, {"start": 6767.04, "end": 6767.18, "word": " ..", "probability": 0.3271484375}, {"start": 6767.18, "end": 6767.72, "word": " بنفس", "probability": 0.94775390625}, {"start": 6767.72, "end": 6768.38, "word": " الطريقة", "probability": 0.9915364583333334}, {"start": 6768.38, "end": 6768.82, "word": " لأن", "probability": 0.3720703125}, {"start": 6768.82, "end": 6768.94, "word": " أنا", "probability": 0.51953125}, {"start": 6768.94, "end": 6769.38, "word": " كرتها", "probability": 0.8860677083333334}, {"start": 6769.38, "end": 6769.8, "word": " كتير", "probability": 0.95361328125}, {"start": 6769.8, "end": 6770.82, "word": " بحسب", "probability": 0.9111328125}, {"start": 6770.82, "end": 6771.14, "word": " I", "probability": 0.99072265625}, {"start": 6771.14, "end": 6771.5, "word": " تلاتة", "probability": 0.9453125}, {"start": 6771.5, "end": 6771.74, "word": " ستة", "probability": 0.9794921875}, {"start": 6771.74, "end": 6771.86, "word": " و", "probability": 0.9072265625}, {"start": 6771.86, "end": 6772.08, "word": " I", "probability": 0.927734375}, {"start": 6772.08, "end": 6772.72, "word": " أربعة", "probability": 0.8601888020833334}, {"start": 6772.72, "end": 6773.6, "word": " ستة", "probability": 0.9806315104166666}, {"start": 6773.6, "end": 6774.38, "word": " الآن", "probability": 0.734130859375}, {"start": 6774.38, "end": 6775.36, "word": " هتشوفوا", "probability": 0.9890625}, {"start": 6775.36, "end": 6775.74, "word": " الحل", "probability": 0.979248046875}, {"start": 6775.74, "end": 6776.04, "word": " هنا", "probability": 0.76513671875}, {"start": 6776.04, "end": 6776.6, "word": " جاهز", "probability": 0.98828125}, {"start": 6776.6, "end": 6776.96, "word": " complete", "probability": 0.6826171875}], "temperature": 1.0}, {"id": 232, "seek": 682112, "start": 6793.3, "end": 6821.12, "text": "هاي كل ال incense centers هاي عندى I12 I .. I12 I13 I14 I15 I1 .. I1 تبقى في نقمة النهاية فعندى I23 I24", "tokens": [3224, 47302, 28242, 2423, 50202, 10898, 8032, 47302, 43242, 7578, 286, 4762, 286, 4386, 286, 4762, 286, 7668, 286, 7271, 286, 5211, 286, 16, 4386, 286, 16, 6055, 3555, 4587, 7578, 8978, 8717, 4587, 46007, 28239, 11296, 10632, 6156, 3615, 41260, 7578, 286, 9356, 286, 7911], "avg_logprob": -0.34973405396684687, "compression_ratio": 1.275229357798165, "no_speech_prob": 0.0, "words": [{"start": 6793.3, "end": 6793.66, "word": "هاي", "probability": 0.5732421875}, {"start": 6793.66, "end": 6793.92, "word": " كل", "probability": 0.966796875}, {"start": 6793.92, "end": 6794.06, "word": " ال", "probability": 0.9775390625}, {"start": 6794.06, "end": 6794.32, "word": " incense", "probability": 0.325439453125}, {"start": 6794.32, "end": 6794.88, "word": " centers", "probability": 0.9443359375}, {"start": 6794.88, "end": 6795.4, "word": " هاي", "probability": 0.51806640625}, {"start": 6795.4, "end": 6798.64, "word": " عندى", "probability": 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6813.24, "end": 6813.54, "word": " نقمة", "probability": 0.5875651041666666}, {"start": 6813.54, "end": 6814.24, "word": " النهاية", "probability": 0.9200846354166666}, {"start": 6814.24, "end": 6815.5, "word": " فعندى", "probability": 0.82080078125}, {"start": 6815.5, "end": 6817.48, "word": " I23", "probability": 0.980712890625}, {"start": 6817.48, "end": 6821.12, "word": " I24", "probability": 0.989990234375}], "temperature": 1.0}, {"id": 233, "seek": 684433, "start": 6822.29, "end": 6844.33, "text": "هو I اتنين خمسة وين I اتنين خمسة مش مبينة هنا انهم بتتبعوا هذا الحل كامل انا وضحت كذا مرة المحاضرة الجاية بنكمل في chapter جديد اللي هو simple mechanisms", "tokens": [3224, 2407, 286, 1975, 2655, 1863, 9957, 16490, 2304, 3794, 3660, 4032, 9957, 286, 1975, 2655, 1863, 9957, 16490, 2304, 3794, 3660, 37893, 3714, 3555, 9957, 3660, 34105, 16472, 16095, 39894, 2655, 3555, 3615, 14407, 23758, 21542, 1211, 9122, 10943, 1211, 1975, 8315, 4032, 11242, 33753, 9122, 15730, 3714, 25720, 9673, 5016, 46958, 25720, 25724, 995, 10632, 44945, 24793, 1211, 8978, 7187, 10874, 16254, 3215, 13672, 1829, 31439, 2199, 15902], "avg_logprob": -0.1789172497433676, "compression_ratio": 1.5460122699386503, "no_speech_prob": 5.269050598144531e-05, "words": [{"start": 6822.29, "end": 6822.63, "word": "هو", "probability": 0.919921875}, {"start": 6822.63, "end": 6822.99, "word": " I", "probability": 0.91357421875}, {"start": 6822.99, "end": 6823.79, "word": " اتنين", "probability": 0.781768798828125}, {"start": 6823.79, "end": 6824.55, "word": " خمسة", "probability": 0.9759521484375}, {"start": 6824.55, "end": 6824.79, "word": " وين", "probability": 0.693115234375}, {"start": 6824.79, "end": 6824.99, "word": " I", "probability": 0.99072265625}, {"start": 6824.99, "end": 6825.39, "word": " اتنين", "probability": 0.9549560546875}, {"start": 6825.39, "end": 6826.53, "word": " خمسة", "probability": 0.992431640625}, {"start": 6826.53, "end": 6830.55, "word": " مش", "probability": 0.69140625}, {"start": 6830.55, "end": 6831.07, "word": " مبينة", "probability": 0.63128662109375}, {"start": 6831.07, "end": 6831.29, "word": " هنا", "probability": 0.55029296875}, {"start": 6831.29, "end": 6831.87, "word": " انهم", "probability": 0.614013671875}, {"start": 6831.87, "end": 6832.51, "word": " بتتبعوا", "probability": 0.88740234375}, {"start": 6832.51, "end": 6832.87, "word": " هذا", "probability": 0.517578125}, {"start": 6832.87, "end": 6833.55, "word": " الحل", "probability": 0.984130859375}, {"start": 6833.55, "end": 6834.09, "word": " كامل", "probability": 0.87353515625}, {"start": 6834.09, "end": 6834.25, "word": " انا", "probability": 0.836181640625}, {"start": 6834.25, "end": 6834.57, "word": " وضحت", "probability": 0.95654296875}, {"start": 6834.57, "end": 6834.87, "word": " كذا", "probability": 0.98388671875}, {"start": 6834.87, "end": 6835.27, "word": " مرة", "probability": 0.976806640625}, {"start": 6835.27, "end": 6838.17, "word": " المحاضرة", "probability": 0.97802734375}, {"start": 6838.17, "end": 6838.65, "word": " الجاية", "probability": 0.8284505208333334}, {"start": 6838.65, "end": 6840.05, "word": " بنكمل", "probability": 0.9381510416666666}, {"start": 6840.05, "end": 6840.29, "word": " في", "probability": 0.95361328125}, {"start": 6840.29, "end": 6840.77, "word": " chapter", "probability": 0.92333984375}, {"start": 6840.77, "end": 6842.57, "word": " جديد", "probability": 0.9871419270833334}, {"start": 6842.57, "end": 6843.03, "word": " اللي", "probability": 0.9375}, {"start": 6843.03, "end": 6843.17, "word": " هو", "probability": 0.98876953125}, {"start": 6843.17, "end": 6843.65, "word": " simple", "probability": 0.4111328125}, {"start": 6843.65, "end": 6844.33, "word": " mechanisms", "probability": 0.62353515625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 6845.5675, "duration_after_vad": 5858.158750000049}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/seh-GJGlwHc_raw.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/seh-GJGlwHc_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d2e8193a0662f5039a2177f1a50ff95b0b78ece7
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/seh-GJGlwHc_raw.srt
@@ -0,0 +1,3924 @@
+1
+00:00:05,030 --> 00:00:07,950
+السلام عليكم و رحمة الله و بركاته بسم الله الرحمن
+
+2
+00:00:07,950 --> 00:00:12,310
+الرحيم اليوم هنبدأ شبتر جديد في مادة نظرية الألات
+
+3
+00:00:12,310 --> 00:00:16,490
+theoretical machines موضوع الشبتر هتكون إيجاد أو
+
+4
+00:00:16,490 --> 00:00:21,290
+حساب الصراعات للآليات باستخدام ال instant center
+
+5
+00:00:21,290 --> 00:00:26,730
+method طبعا
+
+6
+00:00:26,730 --> 00:00:32,730
+احنا في شبتر سابق او في ال dynamica درسناحساب
+
+7
+00:00:32,730 --> 00:00:38,630
+الصراعات باستخدام relative motion method وعملنا
+
+8
+00:00:38,630 --> 00:00:43,830
+مراجعة سريعة لل relative motion method برضه في ال
+
+9
+00:00:43,830 --> 00:00:47,870
+theory machines اليوم هنقط بعض التفاصيل الإضافية
+
+10
+00:00:47,870 --> 00:00:51,890
+في طريقة ال instance center method طبعا اذا انا
+
+11
+00:00:51,890 --> 00:00:56,310
+عندى اي جسم بتحرك general plan motion حركة عامة
+
+12
+00:00:57,440 --> 00:01:03,520
+يعني اذا الجسم عندي كان .. هاي الجسم كان هنا و صار
+
+13
+00:01:03,520 --> 00:01:09,340
+.. صار في الموقع هذا الان
+
+14
+00:01:09,340 --> 00:01:15,080
+واضح انه صار انتقال للجسم من هذا ال position لهذا
+
+15
+00:01:15,080 --> 00:01:19,860
+ال position و واضح انه صار له rotation يعني هو مش
+
+16
+00:01:19,860 --> 00:01:26,250
+انتقله بس انتقلانتقل وصار له rotation انا عملت
+
+17
+00:01:26,250 --> 00:01:34,470
+الانتقال ممكن اجزئها لمراحل هاي المحاور XY يعني
+
+18
+00:01:34,470 --> 00:01:43,870
+الجسم في البداية كان هنا ممكن احركه بال X مسافة
+
+19
+00:01:48,540 --> 00:01:58,320
+و بعدين في ال Y كمان مسافة فصار هنا بعدين
+
+20
+00:01:58,320 --> 00:02:08,080
+اعمل ال rotation عشان
+
+21
+00:02:08,080 --> 00:02:14,880
+نستيقظ في الوضع الجديد هذا معناته انا استطعت انه
+
+22
+00:02:14,880 --> 00:02:24,210
+الحركة اجزقهاالحركة باتجاه ال X بعدين ال Y بعدين
+
+23
+00:02:24,210 --> 00:02:25,190
+ال rotation يعني
+
+24
+00:02:30,030 --> 00:02:34,390
+بعدين rotation طبعا على أرض الواقع مايصير الحركة
+
+25
+00:02:34,390 --> 00:02:38,290
+مجتزة الحركة بيصير يعني بيكون يمشي في ال X و ال Y
+
+26
+00:02:38,290 --> 00:02:42,950
+و يدور في نفس الوقت يعني بيكون الحركة متواصلة من
+
+27
+00:02:42,950 --> 00:02:48,130
+الحركة في المحور يعني X و Y زاد الدوران لحد مايصل
+
+28
+00:02:48,130 --> 00:02:58,740
+ال position النهائي الآن عندى مبين هنا جسم ABانتقل
+
+29
+00:02:58,740 --> 00:03:04,840
+او صار في الوضع الجديد a1b1 طبعا انا حكينا ان
+
+30
+00:03:04,840 --> 00:03:09,700
+الحركة بيكون اجزئها مرحلتين المرحل الأول ان بنتقل
+
+31
+00:03:09,700 --> 00:03:15,680
+من هنا لهنا اول مرحلة بيصير
+
+32
+00:03:15,680 --> 00:03:22,980
+الجسم هنا بعدين بعمل ال rotation عشان اوصل للوضع
+
+33
+00:03:22,980 --> 00:03:30,460
+النهائي او اوفي الأول يعني مكان الجسم عندي هين
+
+34
+00:03:30,460 --> 00:03:34,340
+بعمله
+
+35
+00:03:34,340 --> 00:03:41,480
+rotation عشان أصل ال position هذا بعدين بعمله ال
+
+36
+00:03:41,480 --> 00:03:46,620
+translation عشان أصل الوضع النهائي
+
+37
+00:03:55,460 --> 00:04:00,060
+الان الحركة المركبة المكونة من ال rotation و ال
+
+38
+00:04:00,060 --> 00:04:09,060
+translation لل link AB ممكن اعتبرها لحظيا كأنها
+
+39
+00:04:09,060 --> 00:04:15,080
+حركة دورانية حوالين محور ما او مركز ما بسميه ال
+
+40
+00:04:15,080 --> 00:04:17,060
+instance center of rotation معناه ال combined
+
+41
+00:04:17,060 --> 00:04:22,100
+motion في عندي translationor rotation ممكن اعتبرها
+
+42
+00:04:22,100 --> 00:04:27,800
+as one rotation motion about instant center مركز
+
+43
+00:04:27,800 --> 00:04:33,440
+دوران لحظي بتغير من لحظة للحظة خاني اعطي بعض
+
+44
+00:04:33,440 --> 00:04:39,680
+المفاهيم الان ال
+
+45
+00:04:39,680 --> 00:04:45,240
+instant center of a moving body مركز الدوران
+
+46
+00:04:45,240 --> 00:04:50,940
+اللحظي لجسم متحركهو the center which keeps it
+
+47
+00:04:50,940 --> 00:04:53,820
+changing from one instant to another هو مركز
+
+48
+00:04:53,820 --> 00:04:58,980
+الدوران اللي موقعه بتغير بين لحظة و اخرى يعني الان
+
+49
+00:04:58,980 --> 00:05:01,640
+موقعه مش ثابت مدورش مثلا زي مروحة بتدور عندى
+
+50
+00:05:01,640 --> 00:05:07,060
+محورها ثابت لأ لأن في عندي rotation و translation
+
+51
+00:05:07,060 --> 00:05:14,220
+حيصير ان موقع مركز الدوران بتغير من نقطة لنقطة
+
+52
+00:05:14,220 --> 00:05:17,400
+الcentraude
+
+53
+00:05:18,730 --> 00:05:23,050
+هو ال locus of all instant centers الان اذا انا
+
+54
+00:05:23,050 --> 00:05:27,750
+تتبعت مواقع مراكز الدوران اللحظية اللي تتغير من
+
+55
+00:05:27,750 --> 00:05:31,690
+لحظة للحظة و عملت و وصلت بينها curve بحصل على ما
+
+56
+00:05:31,690 --> 00:05:38,590
+يسمى ال centroid في عند ال instantaneous axis محور
+
+57
+00:05:38,590 --> 00:05:45,450
+الدوران اللحظي محور الدوران اللحظي هو عمودي هو خط
+
+58
+00:05:45,450 --> 00:05:52,490
+بيكونخط بيمر بمركز دوران اللحظة و بيكون عمودي على
+
+59
+00:05:52,490 --> 00:05:57,090
+مستوى الحركة معناته محور الدوران اللحظة هو خط بيمر
+
+60
+00:05:57,090 --> 00:06:02,090
+في مركز الدوران اللحظة و بيكون عمودي على مستوى
+
+61
+00:06:02,090 --> 00:06:04,870
+الحركة اذا الجسم بتحرك بهذا المستوى هكون ال axis
+
+62
+00:06:04,870 --> 00:06:06,230
+عمودي عليه
+
+63
+00:06:09,190 --> 00:06:12,970
+أكسود هو الـ locus of this axis لأن الـ axis كان
+
+64
+00:06:12,970 --> 00:06:15,930
+عندي، عند النقطة هذه، بعدين صار هنا، ثانية هنا،
+
+65
+00:06:15,930 --> 00:06:21,190
+بتغير، هذا هيعمللي surface ال lines تجميعها مع
+
+66
+00:06:21,190 --> 00:06:31,610
+بعض، بيعمللي surface، بسمي الـ axiod الآن
+
+67
+00:06:31,610 --> 00:06:36,630
+في مصطلحين اجداد، في ما يسمى ال spaceو ال body
+
+68
+00:06:36,630 --> 00:06:44,410
+centrois ال space و ال body centrois خلّيني
+
+69
+00:06:44,410 --> 00:06:51,990
+أخد مثال بسيط عندى مستوى أفقه
+
+70
+00:06:51,990 --> 00:06:58,650
+و
+
+71
+00:06:58,650 --> 00:07:02,230
+فيه دلاب فيه دلاب
+
+72
+00:07:06,390 --> 00:07:13,730
+بتدهرج على هذا المستوى في اللحظة هذه هذا هو ال
+
+73
+00:07:13,730 --> 00:07:19,990
+instant center Instant Center بعد شوية بتدهرج حصير
+
+74
+00:07:19,990 --> 00:07:20,690
+الدولاب هنا
+
+75
+00:07:23,980 --> 00:07:26,780
+برضه هذا هو ال instant center الجديد هذا مركز
+
+76
+00:07:26,780 --> 00:07:30,860
+دوران لحظة الجديد طبعا عند ال instant center بتكون
+
+77
+00:07:30,860 --> 00:07:35,640
+ال common point او السرعة .. السرعة .. سرعة النقطة
+
+78
+00:07:35,640 --> 00:07:38,600
+هذه ال instant center بتكون السرعة ده بيساوي zero
+
+79
+00:07:38,600 --> 00:07:45,040
+بعد لحظة زمني بعد فترة زمني معينة هيصير دولاب هنا
+
+80
+00:07:45,040 --> 00:07:49,580
+ما انها تتغير موقع ال instant center
+
+81
+00:07:52,410 --> 00:08:12,850
+بعد شوية هالصير هنا الان
+
+82
+00:08:12,850 --> 00:08:19,280
+الif I trace تتبعت مراكز الدوران اللحظي هتكون نفس
+
+83
+00:08:19,280 --> 00:08:22,160
+المستوى اللي بتدحرج عليه الدولاب معناته هذا
+
+84
+00:08:22,160 --> 00:08:29,220
+المستوى اللي بتدحرج عليه الدولاب هو هيكون كل ال
+
+85
+00:08:29,220 --> 00:08:34,660
+instant centers واقع عليه هذا
+
+86
+00:08:34,660 --> 00:08:41,400
+بسميه ال space centroid
+
+87
+00:08:45,270 --> 00:08:56,190
+طيب الجسم هنا الجسم هنا شكله مدور لو ثبتت الدولاب
+
+88
+00:08:56,190 --> 00:09:07,210
+لو ثبتت الدولاب و
+
+89
+00:09:07,210 --> 00:09:12,570
+بدأت ادحرج اعتبر هذا مصدر ادحرج ال space centroid
+
+90
+00:09:17,160 --> 00:09:23,160
+هذا الثابت بدأت ادحرجه على الدائرة بعد شوية هسير
+
+91
+00:09:23,160 --> 00:09:31,140
+هاي الموضوع بعد شوية هاي الموضوع بعد شوية هاي
+
+92
+00:09:31,140 --> 00:09:38,420
+الموضوع بعد شوية هاي الموضوع و هكذا الان انا اذا
+
+93
+00:09:38,420 --> 00:09:45,840
+باخد النقطة ده هي نقطةتنتين whatever تلاتة أربعة
+
+94
+00:09:45,840 --> 00:09:51,600
+خمسة فى عندي عدد لانه نقاط النقاط هذه هيمر فيها
+
+95
+00:09:51,600 --> 00:09:58,480
+دائرة النقاط هذه هيمر فيها دائرة الدائرة هذه بتمثل
+
+96
+00:09:58,480 --> 00:09:59,880
+شكل الدولاب
+
+97
+00:10:03,360 --> 00:10:09,080
+هذه هي .. بسأل .. الآن شكل الدولاب بالنسبة للمستوى
+
+98
+00:10:09,080 --> 00:10:12,280
+الأفقي إذا ثبتت الدولاب و ده أحرجتها للمستوى
+
+99
+00:10:12,280 --> 00:10:18,900
+الأفقي بسميه ال body centroid
+
+100
+00:10:18,900 --> 00:10:23,680
+الآن
+
+101
+00:10:23,680 --> 00:10:30,380
+لاحظوا معناته هذا هو ال body centroid
+
+102
+00:10:33,200 --> 00:10:40,260
+لحظوا ان ال body centroid rolls over ال space
+
+103
+00:10:40,260 --> 00:10:47,240
+centroid ال body centroid rolls over ال space
+
+104
+00:10:47,240 --> 00:10:51,880
+centroid و ال space centroid هو ال locus of all
+
+105
+00:10:51,880 --> 00:10:57,900
+instant centers of this body اللي هو الدولابال
+
+106
+00:10:57,900 --> 00:11:03,520
+body centroid هو ال locus of all instance centers
+
+107
+00:11:03,520 --> 00:11:10,320
+لل .. لل space centroid if we fix ال body centroid
+
+108
+00:11:10,320 --> 00:11:13,500
+او if we fix the moving body اذا .. اذا ثبتنا
+
+109
+00:11:13,500 --> 00:11:20,980
+الجسم المتحرك و .. و .. و ده حرجت او حركت ال space
+
+110
+00:11:20,980 --> 00:11:28,230
+centroid بالنسبة للجسم هحصل علىنقاط إذا برسم بينها
+
+111
+00:11:28,230 --> 00:11:31,210
+curve الكرفة ده هيكون دائرة اللي هو نفس ال body
+
+112
+00:11:31,210 --> 00:11:34,430
+centroid بيعناته ال body centroid rolls over
+
+113
+00:11:34,430 --> 00:11:42,390
+without slipping the space centroid طيب، بدأ أخد
+
+114
+00:11:42,390 --> 00:11:43,030
+حالة تانية
+
+115
+00:11:52,600 --> 00:11:57,700
+أنا أخدت المستوى أفقي بدي أخد كأنه أنا في منطقة
+
+116
+00:11:57,700 --> 00:12:07,620
+جبلية وهي
+
+117
+00:12:07,620 --> 00:12:13,780
+الدولاب بدأت من النقطة هذه في
+
+118
+00:12:13,780 --> 00:12:20,830
+اللحظة هذه هي ال instant centerالان الدولاب ده
+
+119
+00:12:20,830 --> 00:12:28,030
+هيتدحرج على هذا الطريق بعد شوية هصير
+
+120
+00:12:28,030 --> 00:12:34,310
+هنا هاي ال instant center بعد شوية هاي ال instant
+
+121
+00:12:34,310 --> 00:12:42,190
+center بعد شوية هاي ال new instant center بستمر في
+
+122
+00:12:42,190 --> 00:12:48,750
+التدحرجhigh new instant center بستمر في التدحرج
+
+123
+00:12:48,750 --> 00:12:59,350
+high instant center طبعا هذا ايش ثابت لاحظوا
+
+124
+00:12:59,350 --> 00:13:08,530
+ال locus of all instant centers of this body واقع
+
+125
+00:13:08,530 --> 00:13:21,770
+على الطريق معناته هذا بسميهالـ Space Centroid هذا
+
+126
+00:13:21,770 --> 00:13:24,570
+الـ Space Centroid بالنسبة للدولاب الـ Space
+
+127
+00:13:24,570 --> 00:13:30,110
+Centroid بالنسبة للدولاب الأن
+
+128
+00:13:30,110 --> 00:13:38,110
+لو أخدت الدولاب و ثبته و
+
+129
+00:13:38,110 --> 00:13:42,090
+أدحرج الطريقة يعني بديت أنا من هنا هذه الطريقة
+
+130
+00:13:50,040 --> 00:13:58,940
+بعدين صرت ادحرج الطريق يعني هذا ثابت هحصل
+
+131
+00:13:58,940 --> 00:14:06,880
+للطريق مركز دولة ناحظوا هاي واحد هيكون مركز تلاتة
+
+132
+00:14:06,880 --> 00:14:12,600
+اربعة خمس مركز اذا رسمت عمل care fitبين هذه النقاط
+
+133
+00:14:12,600 --> 00:14:16,940
+بحصل على الدولاب بحصل على الدولاب معناته الدولاب
+
+134
+00:14:16,940 --> 00:14:25,700
+هو ال body centroid لاحظوا
+
+135
+00:14:25,700 --> 00:14:34,080
+الدولاب rolls without slipping over the road
+
+136
+00:14:34,080 --> 00:14:44,430
+معناته ال body centroid bodycentraude اللي هو ال
+
+137
+00:14:44,430 --> 00:14:51,470
+wheel أو الدولاب rolls without
+
+138
+00:14:51,470 --> 00:14:55,110
+slipping
+
+139
+00:14:55,110 --> 00:14:58,130
+بدون
+
+140
+00:14:58,130 --> 00:15:05,850
+انزلاق over the space centraude
+
+141
+00:15:07,690 --> 00:15:14,730
+اللي هو في الحالة هذه إيش الطريق ال road؟معناته
+
+142
+00:15:14,730 --> 00:15:18,950
+من المثالين هدول المفروض واضحة بالنسبة لنا إيش
+
+143
+00:15:18,950 --> 00:15:26,030
+الفرق بين ال space centroid و ال body centroid
+
+144
+00:15:26,030 --> 00:15:30,990
+اللي احنا في بداية المحاضرة حكينا إنه في أكتر من
+
+145
+00:15:30,990 --> 00:15:37,000
+طريقة لحسابالـ velocity of a point on a link أحد
+
+146
+00:15:37,000 --> 00:15:40,100
+الطرق اللي هي relative velocity method والطريقة
+
+147
+00:15:40,100 --> 00:15:43,620
+اللي احنا بيصددها الآن هي ال instance center
+
+148
+00:15:43,620 --> 00:15:48,420
+method احنا الآن بيصدد ال instance center method
+
+149
+00:15:48,420 --> 00:16:00,620
+الآن في ميكانزم في أي ميكانزم يعني
+
+150
+00:16:00,620 --> 00:16:06,490
+مثلاالواخرات four bar linkage mechanism four bar
+
+151
+00:16:06,490 --> 00:16:13,210
+linkage mechanism هذه ها
+
+152
+00:16:13,210 --> 00:16:20,450
+هذه
+
+153
+00:16:20,450 --> 00:16:24,250
+four bar linkage
+
+154
+00:16:24,250 --> 00:16:28,910
+mechanism الأرض link رقم واحد هذه link رقم اتنين
+
+155
+00:16:29,430 --> 00:16:33,410
+هذا ال link رقم 3 وهذا ال link رقم 4 لاحظ ال link
+
+156
+00:16:33,410 --> 00:16:37,770
+واحد ثابتة اتنين لها motion تلاتة لها motion اربعة
+
+157
+00:16:37,770 --> 00:16:42,250
+لها motion الان
+
+158
+00:16:42,250 --> 00:16:46,430
+عدد ال number of instance centers in a mechanism
+
+159
+00:16:46,430 --> 00:16:53,070
+اللي هو N capital بستوى N small في N ناقص واحد على
+
+160
+00:16:53,070 --> 00:16:58,610
+اتنين N small هو عدد اللينكاتand capital هي number
+
+161
+00:16:58,610 --> 00:17:03,850
+of instant centers فالحالة هذه n بالساوية أربعة
+
+162
+00:17:03,850 --> 00:17:07,710
+يعني أن capital عدد ال instant centers للميكانيزم
+
+163
+00:17:07,710 --> 00:17:14,050
+سيكون أربعة في أربعة ناطص واحد على اتنين يعني
+
+164
+00:17:14,050 --> 00:17:19,130
+سيكون أربعة في تلاتة على اتنين سيكون عندك ستة
+
+165
+00:17:19,130 --> 00:17:22,370
+instant centers ستة instant centers لهذه
+
+166
+00:17:22,370 --> 00:17:22,850
+الميكانيزم
+
+167
+00:17:27,950 --> 00:17:33,210
+الان احنا عرفنا للميكانيزم للميكانيزم هذه ان عندي
+
+168
+00:17:33,210 --> 00:17:36,390
+ستة instant centers بس فيهم أنواع مش كلهم نفس
+
+169
+00:17:36,390 --> 00:17:42,910
+النوع في عندي ال primary instant centers او في
+
+170
+00:17:42,910 --> 00:17:47,770
+عندي secondary instant centers ال primary instant
+
+171
+00:17:47,770 --> 00:17:51,010
+centers بيوجهوا علي نوعين fixed instant centers
+
+172
+00:17:51,010 --> 00:17:54,930
+يعني مثلا ال link اتنين مركز دورانها ثابت بتدور
+
+173
+00:17:54,930 --> 00:18:00,840
+حوالي نقطة هذهالمركز دور ال link 2 بتغير؟ لأ دائما
+
+174
+00:18:00,840 --> 00:18:04,600
+ثابت ال link 4 بتدور حوالي النقطة هذه النقطة هذه
+
+175
+00:18:04,600 --> 00:18:10,740
+الثابتة معناته I12
+
+176
+00:18:10,740 --> 00:18:15,300
+I14
+
+177
+00:18:15,300 --> 00:18:19,880
+يعني I12 اللي هو instance center of link 2 بالنسبة
+
+178
+00:18:19,880 --> 00:18:24,480
+ل link 1 ثابت هذا يسميهم fixed instance centers
+
+179
+00:18:24,480 --> 00:18:33,910
+يعني Iواحد اتنين و I واحد اربعة هدول fixed instant
+
+180
+00:18:33,910 --> 00:18:39,110
+centers وفي
+
+181
+00:18:39,110 --> 00:18:46,070
+نوع تاني permanent instant centers الان بين link
+
+182
+00:18:46,070 --> 00:18:52,510
+اتنين و تلاتة في joint في وصلة و بين link تلاتة و
+
+183
+00:18:52,510 --> 00:18:56,970
+اربعة في وصلةواضح انه عند الوصنة بيصير some
+
+184
+00:18:56,970 --> 00:19:02,410
+rotation relative rotation فهذه النقطة بتمثل دوران
+
+185
+00:19:02,410 --> 00:19:06,390
+تلاتة بالنسبة لاتنين او دوران اتنين بالنسبة لتلاتة
+
+186
+00:19:06,390 --> 00:19:09,270
+النقطة هذه ال joint هتمثل دوران اربعة بالنسبة
+
+187
+00:19:09,270 --> 00:19:14,330
+لتلاتة او تلاتة بالنسبة لاربعة الان موقع ال joint
+
+188
+00:19:14,330 --> 00:19:17,550
+هذه هل بيظل ثابت لما تتحرك الميكانيزم طبعا لأ
+
+189
+00:19:17,550 --> 00:19:19,970
+هيتغير لكن
+
+190
+00:19:22,960 --> 00:19:25,600
+الـ relative motion من اتنين و تلاتة بيبقى موجودة
+
+191
+00:19:25,600 --> 00:19:28,740
+يعني دايما .. دايما مواصلين بالـ joint هذه المعنى
+
+192
+00:19:28,740 --> 00:19:32,000
+هو هذه بيسميها permanent instant centers permanent
+
+193
+00:19:32,000 --> 00:19:37,180
+ال location of the instant center of this instant
+
+194
+00:19:37,180 --> 00:19:40,340
+center is not fixed ال location بتاعها ها قاعد
+
+195
+00:19:40,340 --> 00:19:47,480
+بسميها I اتنين تلاتة وهذه I تلاتة اربعة يعني I
+
+196
+00:19:47,480 --> 00:19:55,310
+اتنين تلاتة و Iالتلاتة أربعة اللي هي permanent
+
+197
+00:19:55,310 --> 00:19:59,910
+Instant
+
+198
+00:19:59,910 --> 00:20:08,750
+centers هدول بيجيوا تحت primary Instant
+
+199
+00:20:08,750 --> 00:20:14,410
+centers النوع
+
+200
+00:20:14,410 --> 00:20:14,970
+التاني
+
+201
+00:20:17,820 --> 00:20:21,820
+اللي هو secondary instance centers secondary
+
+202
+00:20:21,820 --> 00:20:26,660
+instance centers يعني neither fixed nor permanent
+
+203
+00:20:26,660 --> 00:20:29,800
+يعني لا هي fixed ولا هي permanent إيش يعني لا هي
+
+204
+00:20:29,800 --> 00:20:33,620
+fixed ولا هي permanent معناته ال instance center
+
+205
+00:20:33,620 --> 00:20:42,260
+للميكانزم بالنسبة لل fixed link وقع في مكان ما في
+
+206
+00:20:42,260 --> 00:20:48,000
+ال spaceواقع في مكان ما في ال space موقع متغير
+
+207
+00:20:48,000 --> 00:20:51,200
+مافيش joint يعني عند موقع ال instant center مافي
+
+208
+00:20:51,200 --> 00:20:56,440
+joint مافي مفصل يعني عند موقع ال instant center
+
+209
+00:20:56,440 --> 00:21:05,000
+مافي joint رقم واحد رقم اتنين الموقع متغير يعني لا
+
+210
+00:21:05,000 --> 00:21:07,160
+هو permanent ولا هو fixed
+
+211
+00:21:13,980 --> 00:21:18,740
+زي ما هو مبين عندي هنا عندي four bar linkage، هاي
+
+212
+00:21:18,740 --> 00:21:23,700
+link واحد، link اتنين، link تلاتة، link اربعة، هذا
+
+213
+00:21:23,700 --> 00:21:30,030
+I12 مركز دوران، ال link اتنين بالنسبة لواحدهذا
+
+214
+00:21:30,030 --> 00:21:35,310
+fixed instance center هذا I 1 4 مركز دوران ال link
+
+215
+00:21:35,310 --> 00:21:39,770
+4 بالنسبة لل .. لل .. لل .. لل واحد و برضه fixed
+
+216
+00:21:39,770 --> 00:21:48,280
+instance center و في عندي I 2 3 مركز دورانتلاتة
+
+217
+00:21:48,280 --> 00:21:50,740
+بين نفسي ولا اتنين او اتنين بين نفسي ولا تلاتة
+
+218
+00:21:50,740 --> 00:21:55,040
+الان ال joint دايما بيبقى موجودة بين اتنين و تلاتة
+
+219
+00:21:55,040 --> 00:21:58,540
+لكن موقع ال joint مع الحركة بيبقى مش نفس الموقع
+
+220
+00:21:58,540 --> 00:22:02,080
+معناته هذا permanent instant center وفي عندي I
+
+221
+00:22:02,080 --> 00:22:06,740
+تلاتة اربعة الان ال joint دايما موجودة الوصلة او
+
+222
+00:22:06,740 --> 00:22:10,800
+نفصل دايما بين تلاتة واربعة لكن موقع النقطة هذه
+
+223
+00:22:10,800 --> 00:22:14,380
+لما تتحرك الميكانزم صارت موضوع جديد
+
+224
+00:22:23,790 --> 00:22:29,130
+الـ join بقى موجودة لكن الموقع هتغير اي تلاتة
+
+225
+00:22:29,130 --> 00:22:31,170
+اربعة او اي اتنين تلاتة اربعة اربعة اتنين تلاتة
+
+226
+00:22:31,170 --> 00:22:32,910
+اربعة اتنين تلاتة اربعة اتنين تلاتة اربعة اتنين
+
+227
+00:22:32,910 --> 00:22:36,110
+تلاتة اربعة اتنين تلاتة اربعة اتنين تلاتة اربعة
+
+228
+00:22:36,110 --> 00:22:39,650
+اتنين تلاتة اربعة اتنين تلاتة اربعة اتنين تلاتة
+
+229
+00:22:39,650 --> 00:22:44,470
+اربعة اتنين تلاتة اربعة اتنين تلاتة اربعة اتنين
+
+230
+00:22:44,470 --> 00:22:47,210
+تلاتة اربعة اتنين تلاتة اربعة اتنين تلاتة اربعة
+
+231
+00:22:47,210 --> 00:22:55,810
+اتنين تلاتة اربعة اتنين تلاتة اربعة اتنمركز دوران
+
+232
+00:22:55,810 --> 00:23:01,330
+ال link تلاتة بالنسبة لواحد يعني لو مديت مديت هذا
+
+233
+00:23:01,330 --> 00:23:04,750
+الخط و هذا الخط بيعطيني I واحدة بعد شو هنعرف كيف
+
+234
+00:23:04,750 --> 00:23:11,610
+هذي أجت الان مركز دوران ال I واحد تلاتة مافيش
+
+235
+00:23:11,610 --> 00:23:14,550
+joint هنا رقم واحد و الموقع هذا برضه مش متغير
+
+236
+00:23:14,550 --> 00:23:17,630
+الموقع ال incense center بتغير من لحظة للحظة و
+
+237
+00:23:17,630 --> 00:23:25,720
+مافيش jointهنا عندى بيجي I 24 I 24 لان برضه موقع
+
+238
+00:23:25,720 --> 00:23:31,600
+لان مافي joint عندهين مافي joint رقم 2 هذا الموقع
+
+239
+00:23:31,600 --> 00:23:36,900
+بتغير من لحظة للحظة و دايما راقع الخط هذا معناته
+
+240
+00:23:36,900 --> 00:23:41,020
+واضح في الميكانيزم هذه في عندى two fixed instant
+
+241
+00:23:41,020 --> 00:23:48,980
+centers two permanent instant centers هوو two
+
+242
+00:23:48,980 --> 00:24:02,700
+secondary incident centers طيب
+
+243
+00:24:24,560 --> 00:24:28,260
+هناخد بعض الأمثلة، انا عندي مثلا في المثال هذا
+
+244
+00:24:28,260 --> 00:24:36,860
+عندي link هذه
+
+245
+00:24:36,860 --> 00:24:40,140
+واحد وهذه اتنين ال instance center ل link اتنين
+
+246
+00:24:40,140 --> 00:24:46,460
+بيصل واحد هو هذا I12 طب في الحالة هذه link two is
+
+247
+00:24:46,460 --> 00:24:49,300
+in a pure rotation about this fixed instance
+
+248
+00:24:49,300 --> 00:24:54,990
+centerlink two is in pure rotation about this
+
+249
+00:24:54,990 --> 00:25:00,410
+point مانع تقاعد و هذا fixed fixed instant center
+
+250
+00:25:00,410 --> 00:25:13,750
+ناخد حالة تانية عندي عندي دائرة بتتدحرج على مستوى
+
+251
+00:25:13,750 --> 00:25:19,630
+أفقي هذا هو ال instant center
+
+252
+00:25:23,200 --> 00:25:30,180
+على فرض فش انزلاق على فرض فش انزلاق هذا بيكون ال
+
+253
+00:25:30,180 --> 00:25:32,760
+instant center اللي هي ال common point بين المستوى
+
+254
+00:25:32,760 --> 00:25:39,620
+المستوى و الدولاب هذا link واحد طبعا والدولاب link
+
+255
+00:25:39,620 --> 00:25:49,100
+اتنين لأ لو خدت block is
+
+256
+00:25:49,100 --> 00:25:51,880
+in a translation الآن
+
+257
+00:25:55,720 --> 00:26:01,340
+معناته is in a pure translation معناته the body is
+
+258
+00:26:01,340 --> 00:26:05,640
+rotating about a center that is يعني ال .. ال ..
+
+259
+00:26:05,640 --> 00:26:08,200
+ال instant center بعيد جدا جدا جدا جدا جدا معناته
+
+260
+00:26:08,200 --> 00:26:12,280
+بيكون عند ال instant center جاي في مان النهاية في
+
+261
+00:26:12,280 --> 00:26:17,740
+infinity معناته I هاي واحد وهاي اتنين I واحد اتنين
+
+262
+00:26:17,740 --> 00:26:20,140
+بيروح في infinity
+
+263
+00:26:24,310 --> 00:26:30,290
+عندي body تاني هي
+
+264
+00:26:30,290 --> 00:26:39,030
+ال link واحد وهي ال body الآن بنزلق
+
+265
+00:26:39,030 --> 00:26:44,890
+على السطح الدوراني هذا معناته هيكون مركز دورانه
+
+266
+00:26:44,890 --> 00:26:51,050
+اللي هو مركز السطح هذا ال instant center واحد
+
+267
+00:26:51,050 --> 00:26:57,800
+اتنيننفس الشيء لو كان عندى body خارجي وهذا fixed
+
+268
+00:26:57,800 --> 00:27:05,220
+وفي عليه body بنزلك هذه هتكون ال instant center
+
+269
+00:27:05,220 --> 00:27:07,300
+واحد اتنين
+
+270
+00:27:29,210 --> 00:27:35,290
+طيب الآن ال Arnold Kennedy theorem طب انا حاطط
+
+271
+00:27:35,290 --> 00:27:40,730
+فيديو توضيحي او فيديو بعمل محاكاة على ال Arnold
+
+272
+00:27:40,730 --> 00:27:44,510
+Kennedy theorem موجود افتحوا الموديل وشغلوا
+
+273
+00:27:44,510 --> 00:27:49,390
+الفيديو هذا وشوفوا Kennedy theorem بتحكي اذا في
+
+274
+00:27:49,390 --> 00:27:55,460
+three bodies عندى تلت اجسامmove relative to each
+
+275
+00:27:55,460 --> 00:27:59,220
+other هدول التلت أجسام في حركة نسبية بينها يعني
+
+276
+00:27:59,220 --> 00:28:03,500
+بتحركوا بالنسبة لبعض النتيجة
+
+277
+00:28:03,500 --> 00:28:10,880
+they have three instant centers that lie on a
+
+278
+00:28:10,880 --> 00:28:15,980
+straight line إذا عندي تلت أجسام تلت أجسام بتحركوا
+
+279
+00:28:15,980 --> 00:28:24,580
+بالنسبة لبعض هيكون تلت مراكز دوران لحظيةبتكون واقع
+
+280
+00:28:24,580 --> 00:28:29,660
+على نفس الخط المستقيم يعني إذا كان لتلت أجسام و
+
+281
+00:28:29,660 --> 00:28:34,300
+بتحركوا بالنسبة لبعض they will have three instance
+
+282
+00:28:34,300 --> 00:28:39,300
+centers that lie on a straight line يعني نرجع لل
+
+283
+00:28:39,300 --> 00:28:47,300
+four bar linkage نرجع
+
+284
+00:28:47,300 --> 00:28:48,320
+لل four bar linkage
+
+285
+00:28:52,070 --> 00:28:55,970
+خلّيني أخد تلت أجسام الجسم هذا ال link واحد هاي ال
+
+286
+00:28:55,970 --> 00:29:01,310
+link واحد و
+
+287
+00:29:01,310 --> 00:29:11,890
+هاخد link اتنين و link تلاتة link
+
+288
+00:29:11,890 --> 00:29:20,130
+واحد و link اتنين يعني هاندي link ال link واحد
+
+289
+00:29:21,600 --> 00:29:29,960
+و اتنين و تلاتة لحظة
+
+290
+00:29:29,960 --> 00:29:37,640
+بين اتنين و واحد فاندي
+
+291
+00:29:37,640 --> 00:29:41,180
+اي اي
+
+292
+00:29:41,180 --> 00:29:43,080
+واحد اتنين
+
+293
+00:29:56,710 --> 00:30:11,090
+و في عندي كمان I اتنين تلاتة هاي I اتنين تلاتة و
+
+294
+00:30:11,090 --> 00:30:22,350
+في عندي I واحد تلاتة هذا هو I واحد تلاتة لحظة
+
+295
+00:30:28,460 --> 00:30:32,960
+أي واحد اتنين و اي اتنين تلاتة و اي واحد تلاتة
+
+296
+00:30:32,960 --> 00:30:37,140
+وقعين على نفس الخط على نفس الاستقامة عندي تلات
+
+297
+00:30:37,140 --> 00:30:41,620
+لينكات if I have three bodiesthat they have
+
+298
+00:30:41,620 --> 00:30:43,320
+relative motion with respect to each other يعني
+
+299
+00:30:43,320 --> 00:30:48,060
+عندي link واحد و link اتنين و link تلاتة و هدول في
+
+300
+00:30:48,060 --> 00:30:51,280
+بينهم حركة نسبية حيكون في عندي تلاتة instant
+
+301
+00:30:51,280 --> 00:30:54,620
+centers يعني اي واحد اتنين و اي اتنين تلاتة و اي
+
+302
+00:30:54,620 --> 00:30:59,040
+واحد تلاتة وقعين على نفس الخط ناخد تلت .. تلت link
+
+303
+00:30:59,040 --> 00:31:04,380
+تانين لو أخدت link
+
+304
+00:31:04,380 --> 00:31:08,080
+واحد و
+
+305
+00:31:08,080 --> 00:31:19,620
+link اربعةو link تلاتة انا خدت link واحد و أربعة و
+
+306
+00:31:19,620 --> 00:31:26,620
+تلاتة يعني انا هكون عندي I واحد أربعة و I واحد
+
+307
+00:31:26,620 --> 00:31:35,400
+تلاتة و I تلاتة أربعة لأن هاي I واحد أربعة هاي I
+
+308
+00:31:35,400 --> 00:31:45,660
+واحد أربعةو I تلاتة أربعة هاي I تلاتة أربعة و I
+
+309
+00:31:45,660 --> 00:31:49,080
+واحدة تلاتة هاي I واحدة تلاتة لاحظوا برضه واقعيا
+
+310
+00:31:49,080 --> 00:31:58,500
+على نفس الخطانا عندي تلاتة links، link واحد واربعة
+
+311
+00:31:58,500 --> 00:32:01,720
+وتلاتة فيه بينه relative motion بين واحد واربعة
+
+312
+00:32:01,720 --> 00:32:07,620
+وتلاتة فيه تلاتة instance centers I14 و I34 و I13
+
+313
+00:32:07,620 --> 00:32:13,700
+واقعي على نفس الخط طيب ناخد
+
+314
+00:32:13,700 --> 00:32:22,880
+كمان combination ناخد link اتنين و link تلاتة و
+
+315
+00:32:22,880 --> 00:32:32,100
+link اربعةداخل اتنين و تلاتة و اربعة حيكون في I
+
+316
+00:32:32,100 --> 00:32:41,120
+اتنين تلاتة I اتنين مع تلاتة و I اتنين مع اربعة و
+
+317
+00:32:41,120 --> 00:32:47,700
+I تلاتة مع اربعة الان نشوف وين هم هاي I اتنين
+
+318
+00:32:47,700 --> 00:32:57,620
+تلاتة و هاي I تلاتة اربعةو هاي I اتنين اربعة ألاحظ
+
+319
+00:32:57,620 --> 00:33:04,920
+واقعين على نفس الاستقامة هذه كانت ال theorem if we
+
+320
+00:33:04,920 --> 00:33:08,960
+have three bodies with relative motion with
+
+321
+00:33:08,960 --> 00:33:11,680
+respect to each other then we will have three
+
+322
+00:33:11,680 --> 00:33:14,640
+instant centers that lie on the same straight line
+
+323
+00:33:14,640 --> 00:33:22,100
+طيب
+
+324
+00:33:33,410 --> 00:33:36,430
+الـ method of locating instances in a mechanism
+
+325
+00:33:36,430 --> 00:33:40,350
+يعني احنا نحكي انا اول اشياءdetermine the number
+
+326
+00:33:40,350 --> 00:33:42,290
+of instant centers and capitals and capitals
+
+327
+00:33:42,290 --> 00:33:45,510
+بيستوى and small في and minus واحد على اتنين and
+
+328
+00:33:45,510 --> 00:33:48,710
+small هو عدد اللينكات و and capital هو عدد ال
+
+329
+00:33:48,710 --> 00:33:51,910
+instant centers يعني في حالة ال four bar linkage
+
+330
+00:33:51,910 --> 00:33:56,770
+عندي أربع links هيكون عدد ال instant centers أربع
+
+331
+00:33:56,770 --> 00:33:59,610
+فأربع نقص واحد على اتنين عندي ستة instant centers
+
+332
+00:33:59,610 --> 00:34:04,110
+بعدين make a list of all instantaneous centers ايش
+
+333
+00:34:04,110 --> 00:34:07,860
+بروح ارتب بكتبين دي هين ال linkعندي هي link واحد
+
+334
+00:34:07,860 --> 00:34:12,620
+link اتنين link تلاتة و link اربعة هنا عند ال
+
+335
+00:34:12,620 --> 00:34:18,280
+instant centers الان واحد في واحد في .. في .. في
+
+336
+00:34:18,280 --> 00:34:21,520
+instant center اي واحد اتنين يعني اللي هو مركز
+
+337
+00:34:21,520 --> 00:34:25,420
+دوران link اتنين بالنسبة لو واحد في تلاتة واحد هو
+
+338
+00:34:25,420 --> 00:34:28,460
+مركز دوران link تلاتة بالنسبة لو واحد في اربعة او
+
+339
+00:34:28,460 --> 00:34:31,180
+واحد اربعة مركز دوران link اربعة بالنسبة لو واحد
+
+340
+00:34:31,180 --> 00:34:36,980
+الان اتنيناتنين مع واحد خلصنا منها حضر اتنين مع
+
+341
+00:34:36,980 --> 00:34:41,900
+تلاتة و اتنين مع اربعة الآن تلاتة تلاتة مع واحد
+
+342
+00:34:41,900 --> 00:34:44,940
+خلصت منها و تلاتة مع اتنين خلصت منها و حضر تلاتة
+
+343
+00:34:44,940 --> 00:34:48,920
+مع اربعة لاحظوا عندي واحد اتنين تلاتة اربعة خمسة
+
+344
+00:34:48,920 --> 00:34:54,100
+ستة instant centers فبنعمل جدول بيكون عندي ال link
+
+345
+00:34:54,100 --> 00:34:57,060
+و هنا ال list of instant centers
+
+346
+00:35:05,240 --> 00:35:11,620
+الخطوة التالتة Locate fixed and parent instant
+
+347
+00:35:11,620 --> 00:35:18,860
+centers by inspection Locate instant .. fixed and
+
+348
+00:35:18,860 --> 00:35:23,900
+parent instant centers بالنظر by inspection يعني
+
+349
+00:35:23,900 --> 00:35:32,120
+في حالة .. في حالة ال .. ال four bar linkage
+
+350
+00:35:44,590 --> 00:35:48,010
+هذا ال link واحد وهذا ال link اتنين وهذا ال link
+
+351
+00:35:48,010 --> 00:35:53,010
+تلاتة وهذا ال link اربعة Locate fixed and parent
+
+352
+00:35:53,010 --> 00:35:57,190
+instance centers by inspection هذا I واحد اتنين
+
+353
+00:35:57,190 --> 00:36:02,170
+عرفنا هذا اطول بالنظر مش ده يعني للحسابات هذا I
+
+354
+00:36:02,170 --> 00:36:08,170
+واحد اربعة fixed يعني عندي I واحد اتنين و I واحد
+
+355
+00:36:08,170 --> 00:36:19,010
+اربعة fixed في عنديI اتنين تلاتة وعندي I تلاتة
+
+356
+00:36:19,010 --> 00:36:24,150
+أربعة اللي
+
+357
+00:36:24,150 --> 00:36:35,890
+هم permanent طيب،
+
+358
+00:36:35,890 --> 00:36:39,670
+ضال عندي العدد ال .. عدد ال .. عدد ال instance
+
+359
+00:36:39,670 --> 00:36:42,810
+تنتصرت ستة عرفت أربعة، ضال تنتين
+
+360
+00:36:45,440 --> 00:36:49,720
+في الحالة هذه بستخدم الـ Kennedy's theorem to
+
+361
+00:36:49,720 --> 00:36:55,020
+determine the remainder الان
+
+362
+00:36:55,020 --> 00:37:04,200
+الان locate remaining secondary centers باستخدام
+
+363
+00:37:04,200 --> 00:37:07,560
+ال Kennedy's theorem ال Kennedy's theorem بتحكي
+
+364
+00:37:07,560 --> 00:37:12,900
+إذا عندي تلت أجسام وفي بينهم relative motion بتكون
+
+365
+00:37:14,590 --> 00:37:17,670
+في تلاتة instant centers بتكون واقع على نفس الخط
+
+366
+00:37:17,670 --> 00:37:23,330
+المستقيم join
+
+367
+00:37:23,330 --> 00:37:28,030
+points by solid lines to show that these things
+
+368
+00:37:28,030 --> 00:37:35,530
+are already found يعني ممكن اعمل دائرة بالشكل هذا
+
+369
+00:37:35,530 --> 00:37:39,690
+انا
+
+370
+00:37:39,690 --> 00:37:43,750
+عندىاربع لينكات معناته هتكون في الدائرة في مربع
+
+371
+00:37:43,750 --> 00:37:51,910
+عندي هنا هذه النقطة هذه عندي واحد هذه اتنين هذه
+
+372
+00:37:51,910 --> 00:38:05,090
+التلاتة هذه اربعة هذا ال link هذا
+
+373
+00:38:05,090 --> 00:38:06,030
+ال link واحد
+
+374
+00:38:11,070 --> 00:38:18,050
+هذه اتنين وهذه تلاتة وهذه اربعة الان انا by
+
+375
+00:38:18,050 --> 00:38:26,690
+inspection عرفت I12 بوصله بخط صلد هاي I12 by
+
+376
+00:38:26,690 --> 00:38:34,250
+inspection عرفت I14 هاي I14 I14 و by inspection
+
+377
+00:38:34,250 --> 00:38:38,290
+عرفت اللي هو ال two parent instant centers I23 I
+
+378
+00:38:38,290 --> 00:38:44,120
+I2تلاتة و by inspection عرفت another parent
+
+379
+00:38:44,120 --> 00:38:47,180
+instance مثل I تلاتة أربعة هاي تلاتة وهي أربعة
+
+380
+00:38:47,180 --> 00:38:54,160
+بوصلهم الان
+
+381
+00:38:54,160 --> 00:39:00,200
+باستخدام Kennedy's theorem انا عندي مثلا هنا عندي
+
+382
+00:39:00,200 --> 00:39:04,500
+اتطلع هنا انا هنا عندي هنا I تلاتة أربعة و I اتنين
+
+383
+00:39:04,500 --> 00:39:07,080
+تلاتة يعني عندي عندي
+
+384
+00:39:08,880 --> 00:39:16,680
+Link عندي هين انتبهوا عنده هين I اتنين تلاتة و هين
+
+385
+00:39:16,680 --> 00:39:25,500
+عندي I اتلاتة اربعة هين عندي I تلاتة اربعة و هين
+
+386
+00:39:25,500 --> 00:39:31,180
+عندي I اتنين تلاتة تطلعوا الأرقام عندي هين عندي
+
+387
+00:39:31,180 --> 00:39:32,560
+تلاتة و اربعة
+
+388
+00:39:35,830 --> 00:39:39,210
+و اتنين و تلاتة يعني اتنين اللي مبين عندي هنا
+
+389
+00:39:39,210 --> 00:39:42,250
+تلاتة و اربعة و اتنين معناه تلات لينكات هكون لينك
+
+390
+00:39:42,250 --> 00:39:45,610
+اتنين و لينك تلاتة و لينك اربعة يعني عندي three
+
+391
+00:39:45,610 --> 00:39:51,070
+links اللي هو اتنين و لينك تلاتة و لينك اربعة
+
+392
+00:39:51,070 --> 00:39:56,710
+معناه هكون في عندي incense center اتنين مع تلاتة I
+
+393
+00:39:56,710 --> 00:40:02,490
+اتنين تلاتة وعندي تلاتة مع اربعة I تلاتة اربعة
+
+394
+00:40:02,490 --> 00:40:04,650
+وعندي I
+
+395
+00:40:12,950 --> 00:40:16,230
+تلاتة اربعة اتنين مع اربعة اتنين مع اربعة اتنين مع
+
+396
+00:40:16,230 --> 00:40:17,290
+اربعة اتنين مع اربعة اتنين مع اربعة اتنين مع اربعة
+
+397
+00:40:17,290 --> 00:40:17,390
+اتنين مع اربعة اتنين مع اربعة اتنين مع اربعة اتنين
+
+398
+00:40:17,390 --> 00:40:22,730
+مع اربعة اتنين مع اربعة اتنين مع اربعة اتنين
+
+399
+00:40:22,730 --> 00:40:23,470
+مع اربعة اتنين مع اربعة اتنين مع اربعة اتنين مع
+
+400
+00:40:23,470 --> 00:40:23,770
+اربعة اتنين مع اربعة اتنين مع اربعة اتنين مع اربعة
+
+401
+00:40:23,770 --> 00:40:23,770
+اتنين مع اربعة اتنين مع اربعة اتنين مع اربعة اتنين
+
+402
+00:40:23,770 --> 00:40:27,510
+مع اربعة اتنين مع اربعة اتنين مع اربعة اتنين مع
+
+403
+00:40:27,510 --> 00:40:35,050
+اربعة اتنين مع اربعة
+
+404
+00:40:35,050 --> 00:40:42,320
+اهاخد .. هاخد اتنين و واحد و اربعة link اتنين و
+
+405
+00:40:42,320 --> 00:40:49,820
+واحد و اربعة عندي هنا I واحد اربعة و I واحد اتنين
+
+406
+00:40:49,820 --> 00:40:56,580
+لحظة انا مااخد linkواحد واتنين واربعة معناته هيكون
+
+407
+00:40:56,580 --> 00:40:58,880
+فيني تلاتة instant sentences اللي هو واحد مع اتنين
+
+408
+00:40:58,880 --> 00:41:06,780
+اي واحد اتنين وعندي واحد مع اربعة اي واحد اربعة
+
+409
+00:41:06,780 --> 00:41:11,420
+وعندي اتنين مع اربعة اي اتنين اربعة هيكونوا واقعين
+
+410
+00:41:11,420 --> 00:41:18,650
+على نفس الخط هذا اي واحد اتنينI12 I14 و I12 و I24
+
+411
+00:41:18,650 --> 00:41:22,450
+هيكونوا واقعين نفس الخط، معناته لو مديت خط هنا
+
+412
+00:41:22,450 --> 00:41:27,210
+احنا
+
+413
+00:41:27,210 --> 00:41:33,710
+حكينا I24 واقع الخط هذا و I24 واقع الخط هذا،
+
+414
+00:41:33,710 --> 00:41:38,930
+معناته أكيد هيكون عن تقاطع الخطين، معناته هذا I
+
+415
+00:41:42,320 --> 00:41:50,040
+اتنين اربعة هذا اي اتنين اربعة معناته
+
+416
+00:41:50,040 --> 00:41:57,800
+احنا عرفنا اي اتنين اربعة نوصله هاي
+
+417
+00:41:57,800 --> 00:42:05,180
+اي اتنين اربعة ضال
+
+418
+00:42:05,180 --> 00:42:06,860
+عند اي واحد تلاتة
+
+419
+00:42:11,860 --> 00:42:22,880
+لحظة بدي اخد link بدي
+
+420
+00:42:22,880 --> 00:42:34,420
+اخد link 1 و 2 و 3 link 1,2,3 هيكون عندى بين 1,2,I
+
+421
+00:42:34,420 --> 00:42:37,820
+,1,2 هى I,1,2
+
+422
+00:42:42,030 --> 00:42:49,890
+هيكون عندى I اتنين تلاتة و I واحد تلاتة I اتنين
+
+423
+00:42:49,890 --> 00:42:55,110
+تلاتة هى كنز السيروم بتحكى عندي تلاتة links link
+
+424
+00:42:55,110 --> 00:42:57,530
+واحد اتنين و تلاتة هيكون عندى تلاتة instance
+
+425
+00:42:57,530 --> 00:43:00,710
+centers I واحد اتنين و I اتنين تلاتة و I واحد
+
+426
+00:43:00,710 --> 00:43:03,650
+تلاتة بيقعوا على نفس الخط المستقيم معناته واحد
+
+427
+00:43:03,650 --> 00:43:05,510
+تلاتة هيكون واقع الخط هذا
+
+428
+00:43:09,740 --> 00:43:14,400
+I13 هيكون واقع الخط هذا لسه مش عارفين الان هاخد
+
+429
+00:43:14,400 --> 00:43:17,560
+link
+
+430
+00:43:17,560 --> 00:43:21,540
+134
+
+431
+00:43:21,540 --> 00:43:29,720
+هكون عندي 13 I13 I34
+
+432
+00:43:29,720 --> 00:43:40,080
+I14 واقعين نفس الخط الان هاي I14 وهي I34الان لو
+
+433
+00:43:40,080 --> 00:43:45,860
+وصلت هدول و مديتهم هيكون
+
+434
+00:43:45,860 --> 00:43:55,220
+I13 واقع الخط هذا I13 واقع الخط هذا I13 واقع الخط
+
+435
+00:43:55,220 --> 00:44:00,720
+هذا I13 واقع الخط هذا I13 واقع الخط هذا I13 واقع
+
+436
+00:44:00,720 --> 00:44:02,100
+الخط هذا
+
+437
+00:44:13,070 --> 00:44:22,910
+تكون اوجدنا كل الـ instance centers انشوف
+
+438
+00:44:22,910 --> 00:44:23,710
+نحل ال example
+
+439
+00:44:43,310 --> 00:44:49,750
+عندنا example كرانك ABCD
+
+440
+00:44:49,750 --> 00:45:02,810
+كرانك AB ماطيني الأطول طبعا هو ماطيني AB بتساوي
+
+441
+00:45:02,810 --> 00:45:08,950
+تلتميت ملة و
+
+442
+00:45:08,950 --> 00:45:10,630
+BC تلتمية و ستين
+
+443
+00:45:18,340 --> 00:45:24,440
+و cd تلاتمية
+
+444
+00:45:24,440 --> 00:45:29,200
+و ستين locate
+
+445
+00:45:29,200 --> 00:45:34,140
+all instance centers and find the angular velocity
+
+446
+00:45:34,140 --> 00:45:42,960
+of link b,c حددلي كل ال instance centers بعدين اجد
+
+447
+00:45:42,960 --> 00:45:46,200
+السرعة الزاوية ل link b,c طيب
+
+448
+00:45:50,340 --> 00:45:58,480
+خلّيني اعمل الانسخ هذه اه
+
+449
+00:45:58,480 --> 00:46:07,320
+ومعطيني اي دي ستمية اي دي ستمية
+
+450
+00:46:07,320 --> 00:46:15,960
+مليمتر اول الشيء بدي ارقم اللينكات في عندي اللينك
+
+451
+00:46:15,960 --> 00:46:24,120
+الثابت هذي الأرضهسميها link رقم واحد هي دي
+
+452
+00:46:24,120 --> 00:46:30,320
+AB link رقم اتنين BC
+
+453
+00:46:30,320 --> 00:46:42,740
+link رقم تلاتة CD link رقم اربعة معناته
+
+454
+00:46:42,740 --> 00:46:47,200
+اكم link عندي انا عندي N small اربعة
+
+455
+00:46:49,330 --> 00:46:52,850
+معناته بعدك هحسب number of instant centers N
+
+456
+00:46:52,850 --> 00:46:59,970
+capital بيساوي N small في N ناقص واحد على اتنين
+
+457
+00:46:59,970 --> 00:47:05,610
+هتساوي طبعا اربعة في اربعة ناقص واحد على اتنين
+
+458
+00:47:05,610 --> 00:47:08,990
+هتكون تساوي ستة instant centers انا عندى ستة
+
+459
+00:47:08,990 --> 00:47:14,890
+instant centers هعمل
+
+460
+00:47:14,890 --> 00:47:15,310
+جدول
+
+461
+00:47:34,290 --> 00:47:45,310
+عندي هنا link واحد link اتنين link تلاتة و
+
+462
+00:47:45,310 --> 00:47:51,590
+link اربع يعني ال link بعدين
+
+463
+00:47:51,590 --> 00:47:58,730
+هحكي ال instant centers الان في عندي هنا واحد
+
+464
+00:47:58,730 --> 00:48:04,710
+اتنين instant center واحد اتنين واحد تلاتةواحد
+
+465
+00:48:04,710 --> 00:48:13,010
+اربعة الان اتنين في اتنين مع واحد اتنين مع تلاتة
+
+466
+00:48:13,010 --> 00:48:19,400
+اتنين مع اربعةهين التلاتة already خلصت التلاتة مع
+
+467
+00:48:19,400 --> 00:48:22,380
+الواحد والتلاتة مع الاتنين خلصناها معناته حيضر عند
+
+468
+00:48:22,380 --> 00:48:29,160
+التلاتة أربعة الأربعة مع الواحد هيها والتلاتة هيها
+
+469
+00:48:29,160 --> 00:48:33,180
+مع الاتنين هيها مع التلاتة هيها مع الاتنين هيها مع
+
+470
+00:48:33,180 --> 00:48:34,540
+الاتنين هيها مع الاتنين هيها مع الاتنين هيها مع
+
+471
+00:48:34,540 --> 00:48:34,540
+الاتنين هيها مع الاتنين هيها مع الاتنين هيها مع
+
+472
+00:48:34,540 --> 00:48:34,540
+الاتنين هيها مع الاتنين هيها مع الاتنين هيها مع
+
+473
+00:48:34,540 --> 00:48:34,740
+الاتنين هيها مع الاتنين هيها مع الاتنين هيها مع
+
+474
+00:48:34,740 --> 00:48:34,740
+الاتنين هيها مع الاتنين هيها مع الاتنين هيها مع
+
+475
+00:48:34,740 --> 00:48:34,740
+الاتنين هيها مع الاتنين هيها مع الاتنين هيها مع
+
+476
+00:48:34,740 --> 00:48:35,160
+الاتنين هيها مع الاتنين
+
+477
+00:48:51,860 --> 00:49:03,260
+لأن هعمل دائرة انا
+
+478
+00:49:03,260 --> 00:49:06,660
+عندي اربع .. اربع linked معينة هكون عندي مربع هاي
+
+479
+00:49:06,660 --> 00:49:15,180
+عندي واحد اتنين تلاتة
+
+480
+00:49:15,180 --> 00:49:18,320
+هاي اربع
+
+481
+00:49:23,620 --> 00:49:28,180
+by inspection I
+
+482
+00:49:28,180 --> 00:49:32,820
+will locate ال fixed centers الأول أول الشي اندي
+
+483
+00:49:32,820 --> 00:49:37,540
+أنا هنا هذا ال center هذا المركز ده ورا ال link
+
+484
+00:49:37,540 --> 00:49:47,920
+اتنين بالنسبة لواحد هذا I واحد اتنين معناته هي
+
+485
+00:49:47,920 --> 00:49:51,400
+واحد اتنين يعني عندي link واحد
+
+486
+00:49:54,700 --> 00:50:02,120
+خلصت من هنا عرفنا هاي I 1 2 وعندي النقطة دي تمثل
+
+487
+00:50:02,120 --> 00:50:10,600
+محور دوران لاربع من اسلوب معناته هاي I I
+
+488
+00:50:10,600 --> 00:50:23,530
+1 4 معناته هاي عندي هنا link 4 هاي I 1 4الان اي
+
+489
+00:50:23,530 --> 00:50:28,030
+واحد اتنين اي
+
+490
+00:50:28,030 --> 00:50:34,590
+واحد اربع عبارة عن fixed محمر
+
+491
+00:50:34,590 --> 00:50:41,790
+دوران ثابت fixed instant centers الان
+
+492
+00:50:41,790 --> 00:50:45,530
+هشوف ال permanent instant centers في عندي instant
+
+493
+00:50:45,530 --> 00:50:50,810
+center بين اتنين و تلاتة هذه
+
+494
+00:50:50,810 --> 00:51:00,880
+اياتنين تلاتة هاي عندي هنا ال link
+
+495
+00:51:00,880 --> 00:51:12,140
+هذا
+
+496
+00:51:12,140 --> 00:51:13,780
+I اتنين تلاتة
+
+497
+00:51:23,400 --> 00:51:31,840
+وعندي كمان I بين أربعة و تلاتة I تلاتة
+
+498
+00:51:31,840 --> 00:51:41,660
+أربعة I
+
+499
+00:51:41,660 --> 00:51:49,720
+تلاتة أربعة لأن عندي I اتنين تلاتة و I تلاتة أربعة
+
+500
+00:51:49,720 --> 00:51:51,460
+عبارة عن permanent
+
+501
+00:51:56,070 --> 00:52:01,590
+instant centers خلصت
+
+502
+00:52:01,590 --> 00:52:06,090
+منهم الان عندي ضال الان so far انا اللي عرفتهم so
+
+503
+00:52:06,090 --> 00:52:13,570
+far عرفنا اي واحد اتنين و
+
+504
+00:52:13,570 --> 00:52:22,010
+اي واحد اربعة و اي اتنين تلاتة و اي تلاتة اربعة
+
+505
+00:52:24,690 --> 00:52:35,450
+ضال عندى I 1 3 و I 2 4 إذا
+
+506
+00:52:35,450 --> 00:52:48,530
+أخدت ال link 1 و 2 و 3 ال links ال links واحد
+
+507
+00:52:49,490 --> 00:52:54,890
+و اتنين و تلاتة هدول طبقا لcanada theorem في بينهم
+
+508
+00:52:54,890 --> 00:52:58,330
+relative motion المعنى هو هيكون ان هناك ثلاثة
+
+509
+00:52:58,330 --> 00:53:02,870
+centers انسان موجودين على اتنين و تلاتة انسان
+
+510
+00:53:02,870 --> 00:53:04,010
+موجودين على اتنين و تلاتة انسان موجودين على اتنين
+
+511
+00:53:04,010 --> 00:53:06,050
+و تلاتة انسان موجودين على اتنين و تلاتة انسان
+
+512
+00:53:06,050 --> 00:53:08,630
+موجودين على اتنين و تلاتة انسان موجودين على اتنين
+
+513
+00:53:08,630 --> 00:53:10,310
+و تلاتة انسان موجودين على اتنين و تلاتة انسان
+
+514
+00:53:10,310 --> 00:53:16,810
+موجودين على اتنين و تلاتة انسان موجودين على اتنين
+
+515
+00:53:16,810 --> 00:53:19,070
+و تلاتة انسان موجودين على اتنين و تلاتة انسان
+
+516
+00:53:19,070 --> 00:53:23,850
+موجودين على اتنلأن عندي هاي اي واحد اتنين و هاي اي
+
+517
+00:53:23,850 --> 00:53:32,790
+اتنين تلاتة يعني
+
+518
+00:53:32,790 --> 00:53:37,970
+اي واحد تلاتة عندي هاي اي واحد تلاتة او اي اتنين
+
+519
+00:53:37,970 --> 00:53:43,270
+تلاتة و اي واحد اتنين هيكونوا على نفس الخط هاخد
+
+520
+00:53:43,270 --> 00:53:48,210
+ال links واحد و اربع و تلاتة هاخد links links
+
+521
+00:53:51,600 --> 00:53:57,120
+واحد واربعة و تلاتة معناته هيكون عنده instant
+
+522
+00:53:57,120 --> 00:54:00,160
+center هذه التلاتة الانكاز ال three links that
+
+523
+00:54:00,160 --> 00:54:02,640
+have relative motion with respect to each other
+
+524
+00:54:02,640 --> 00:54:09,900
+هيكون عنده بين واحد واربعة I واحد اربعة و I واحد
+
+525
+00:54:09,900 --> 00:54:15,740
+تلاتة و I تلاتة اربعة هدول هيكون على نفس الاستقام
+
+526
+00:54:15,740 --> 00:54:20,600
+اللي انا عندي هاي I واحد اربعةو I تلاتة أربعة و
+
+527
+00:54:20,600 --> 00:54:31,240
+واحد تلاتة هكون على نفس الخط معناه لو وصلت هذول I
+
+528
+00:54:31,240 --> 00:54:38,380
+واحد تلاتة معناه
+
+529
+00:54:38,380 --> 00:54:43,700
+و I واحد تلاتة واقع الخط هذا و واقع الخط هذا اذا
+
+530
+00:54:43,700 --> 00:54:46,800
+واقع الخطين هذول اكيد هكون اواقع تقطعهم معناه هذي
+
+531
+00:54:46,800 --> 00:54:47,220
+هتكون
+
+532
+00:54:50,210 --> 00:54:55,270
+I13 معناته انا حسبت I13 معناته بوصل بين نقطة واحد
+
+533
+00:54:55,270 --> 00:54:59,850
+واحد
+
+534
+00:54:59,850 --> 00:55:06,230
+تلاتة صار معروف عندي اللي
+
+535
+00:55:06,230 --> 00:55:13,230
+هنضال عندي I24 لو أخدت ال link واحد
+
+536
+00:55:16,830 --> 00:55:25,670
+واحد واتنين واربعة أخدت ال links ال links واحد
+
+537
+00:55:25,670 --> 00:55:30,840
+واتنين واربعةهدول ال links 1,2,4 فيه بينهم حركة
+
+538
+00:55:30,840 --> 00:55:33,340
+نسبية يعني هكون فيه تلاتة instance centers واقعة
+
+539
+00:55:33,340 --> 00:55:41,860
+نفس الخط هكون عندي تلات محاور بين I 1,2 و I 1,4 و
+
+540
+00:55:41,860 --> 00:55:46,720
+I 2,4 هتكون واقعة نفس الخط لأن عندي هاي I 1,2 و I
+
+541
+00:55:46,720 --> 00:55:52,720
+1,4 لو وصلتهم و
+
+542
+00:55:52,720 --> 00:55:53,340
+مديت
+
+543
+00:56:00,820 --> 00:56:05,580
+هيكون عندى I اتنين
+
+544
+00:56:05,580 --> 00:56:10,840
+اربعة واقع الخط اللي عندي هنا I14 I12 و I24 يعني
+
+545
+00:56:10,840 --> 00:56:13,060
+هيكون على نفس الاستقبال ايه اتنين اربعة هيكون واقع
+
+546
+00:56:13,060 --> 00:56:18,300
+الخط هذا هاخد
+
+547
+00:56:18,300 --> 00:56:26,980
+اتنين و تلاتة وأربعة هاخد links links اتنين
+
+548
+00:56:26,980 --> 00:56:33,440
+و تلاتة وأربعةهاخد links اتنين و تلاتة و اربعة
+
+549
+00:56:33,440 --> 00:56:38,060
+حيكون
+
+550
+00:56:38,060 --> 00:56:44,040
+عنده instance centers اللي هو I اتنين مع تلاتة و I
+
+551
+00:56:44,040 --> 00:56:49,440
+اتنين مع اربعة و I تلاتة مع اربعة على نفس
+
+552
+00:56:49,440 --> 00:56:53,980
+الاستقامة اللي انا عنده عنده هاي I تلاتة اربعة و I
+
+553
+00:56:53,980 --> 00:56:56,080
+اتنين تلاتة و I اتنين اربعة هيكون واقعين على نفس
+
+554
+00:56:56,080 --> 00:56:56,480
+الخط
+
+555
+00:57:03,530 --> 00:57:11,750
+I اتنين اربعة اتنين اربعة واضح ان I اتنين اربعة
+
+556
+00:57:11,750 --> 00:57:17,070
+واقع الخط هذا و واقع الخط هذا معناته نقطة التقاطع
+
+557
+00:57:17,070 --> 00:57:21,790
+هدول الخطين هذي تمثل I اتنين اربعة او جد All
+
+558
+00:57:21,790 --> 00:57:26,690
+Instant Centers I اتنين
+
+559
+00:57:26,690 --> 00:57:27,130
+اربعة
+
+560
+00:57:31,290 --> 00:57:44,990
+هذا المطلوب الأول المطلوب التاني كان ال link
+
+561
+00:57:44,990 --> 00:57:50,830
+a,b ال omega omega
+
+562
+00:57:50,830 --> 00:58:00,660
+a,b يعني omega اتنين بصومية rpm يعني هتكون ميةفي
+
+563
+00:58:00,660 --> 00:58:25,400
+اتنين by على ستين بتطلع
+
+564
+00:58:25,400 --> 00:58:33,220
+عشرة pointاربع سبعة radians per second افرض انها
+
+565
+00:58:33,220 --> 00:58:38,480
+بتدور clockwise بده
+
+566
+00:58:38,480 --> 00:58:42,580
+نحسب السرعة الزاوية ل link تلاتة
+
+567
+00:58:54,300 --> 00:58:57,920
+الان انا ملزم ان احسب شوية حسابات هندسية عندى هذا
+
+568
+00:58:57,920 --> 00:59:05,820
+الزاوية ستين و لاحظوا الأطوال عندى هذا معروف ستمية
+
+569
+00:59:05,820 --> 00:59:11,440
+ستمية انا ممكن اسوي التالة
+
+570
+00:59:28,400 --> 00:59:36,500
+لو أخدت المثلث خدت المثلث a
+
+571
+00:59:36,500 --> 00:59:46,880
+b d مثلث a b d مثلث
+
+572
+00:59:46,880 --> 00:59:50,020
+a
+
+573
+00:59:50,020 --> 01:00:06,410
+b d هذا المثلث هي a هي bهي دي هذا المترجم انا عارف
+
+574
+01:00:06,410 --> 01:00:10,710
+الطول هذا ستمية و هذا تلاتمية و هذا الزاوية ستين
+
+575
+01:00:10,710 --> 01:00:15,290
+باستخدام ال cos اللي هو ممكن احسس بي دي ال بي دي
+
+576
+01:00:15,290 --> 01:00:28,290
+ال بي دي تربيه حيث سوى ال ا بي تربيه زاد ال ا دي
+
+577
+01:00:29,370 --> 01:00:42,910
+تربيع ناقص اتنين a b في a d cosine الستين يعني ال
+
+578
+01:00:42,910 --> 01:00:49,170
+bd تربيع هيكون يستوى ال a b تربيع اللي هو تلت مية
+
+579
+01:00:49,170 --> 01:00:58,170
+تربيع تلت مية تربيع زائد ستمية تربيع ناقص اتنين في
+
+580
+01:00:58,170 --> 01:01:14,240
+تلت ميةفي ستمية في كصينة ستين نص يعني
+
+581
+01:01:14,240 --> 01:01:15,040
+التلاتمية
+
+582
+01:01:29,950 --> 01:01:40,630
+and هيكون تلت مية تلت مية زائد ست مية ناقص
+
+583
+01:01:40,630 --> 01:01:47,990
+تطلع
+
+584
+01:01:47,990 --> 01:01:53,650
+متين وسبعين ألف معناته
+
+585
+01:01:53,650 --> 01:01:54,490
+بحسب ال PD
+
+586
+01:02:12,540 --> 01:02:19,840
+طيب و أنا بحسب ال BD احسبولي ال BD اللي هو جزر
+
+587
+01:02:19,840 --> 01:02:35,740
+التربية ل الميتين و سبعين ألف الان
+
+588
+01:02:35,740 --> 01:02:37,120
+انا حسبت ال BD
+
+589
+01:02:46,230 --> 01:02:53,570
+خلّيني أسمي الزاوية هذه theta
+
+590
+01:02:53,570 --> 01:02:59,590
+هذه
+
+591
+01:02:59,590 --> 01:03:08,890
+الزاوية theta بدي أخد المثلث ال مثلث bcd
+
+592
+01:03:08,890 --> 01:03:09,930
+المثلث
+
+593
+01:03:15,300 --> 01:03:26,040
+BCD نفس الأشياء هتكون عنده PD تربيع هتساوي
+
+594
+01:03:26,040 --> 01:03:33,340
+BC تربيع زاد
+
+595
+01:03:33,340 --> 01:03:38,740
+CD تربيع ناقص
+
+596
+01:03:38,740 --> 01:03:39,520
+اتنين BC
+
+597
+01:03:43,280 --> 01:03:53,060
+فى cd فى cosine الثتا يعنى هتصير عندى هنا ال bd
+
+598
+01:03:53,060 --> 01:03:56,720
+تربيع اللى هى ميتين و سبعين الف ميتين و سبعين الف
+
+599
+01:03:56,720 --> 01:04:00,760
+بتساوي
+
+600
+01:04:00,760 --> 01:04:10,460
+ال bc تربيع اللى هى تلت مية و ستين تربيع ناقص
+
+601
+01:04:10,460 --> 01:04:19,580
+ازايدتلاتمية و ستين تربية ناقص اتنين في تلاتمية و
+
+602
+01:04:19,580 --> 01:04:26,780
+ستين في تلاتمية و ستين في cosine theta و منها
+
+603
+01:04:26,780 --> 01:04:33,020
+باحسب ال theta احسبوه لحالكوا احسبوه ال theta
+
+604
+01:04:43,650 --> 01:04:51,030
+الان من ال sign law من ال sign law هحسب الزاوية
+
+605
+01:04:51,030 --> 01:04:59,410
+هسمي هذه alpha وهذه
+
+606
+01:04:59,410 --> 01:05:04,930
+هسميها beta
+
+607
+01:05:20,700 --> 01:05:28,040
+هاخد المثلث كمرة ال مثلث a b
+
+608
+01:05:28,040 --> 01:05:36,540
+d a b d هستخدم ال sign low sign low هكون عندي ال
+
+609
+01:05:36,540 --> 01:05:41,680
+sign alpha على
+
+610
+01:05:41,680 --> 01:05:45,380
+اللي
+
+611
+01:05:45,380 --> 01:05:47,100
+هو a b اللي هو تلت مية
+
+612
+01:05:52,070 --> 01:06:01,850
+بتساوي صين الستين على
+
+613
+01:06:01,850 --> 01:06:05,270
+بي
+
+614
+01:06:05,270 --> 01:06:11,370
+دي احنا الроде بنعرف بي دي و منها باحسب الالفة
+
+615
+01:06:11,370 --> 01:06:16,310
+الالفة بتسير معروف بتحسبولي برضه الزاوية الفة
+
+616
+01:06:18,470 --> 01:06:22,270
+الأن ال alpha معروفة و ال theta معروفة و ال bd
+
+617
+01:06:22,270 --> 01:06:33,970
+معروفة هاخد المثلث هاخد المثلث المثلث
+
+618
+01:06:33,970 --> 01:06:40,350
+bcd bcd
+
+619
+01:06:40,350 --> 01:06:45,790
+برضه هستخدم ال sign low هيكون عنده sign beta
+
+620
+01:06:49,760 --> 01:06:55,480
+على بي سي بيساوي
+
+621
+01:06:55,480 --> 01:06:59,520
+sin θ على
+
+622
+01:06:59,520 --> 01:07:05,800
+بي دي و أنا بعرف بي سي تلت مية و ستين ملي و بي دي
+
+623
+01:07:05,800 --> 01:07:09,980
+already حسبتها جزر تريوتين سوية ألف و ال theta
+
+624
+01:07:09,980 --> 01:07:18,550
+عرفها بحسب بيتا صارت بيتا معروفةو Alpha معروفة
+
+625
+01:07:18,550 --> 01:07:22,590
+يعني هذه الزاوية صارت كلها Alpha زي الميتم معروفة
+
+626
+01:07:22,590 --> 01:07:27,370
+المعنى ان الزاوية هذه خلينا
+
+627
+01:07:27,370 --> 01:07:32,890
+نسميها Phi ال
+
+628
+01:07:32,890 --> 01:07:38,990
+Phi الزاوية
+
+629
+01:07:38,990 --> 01:07:44,110
+Phi هتكون
+
+630
+01:07:44,110 --> 01:07:55,120
+تساوي مية و تمانينناقص ستين درجة ناقص Alpha زائد
+
+631
+01:07:55,120 --> 01:08:07,280
+Beta عرفنا الـ Phi معناته
+
+632
+01:08:07,280 --> 01:08:12,060
+المثلث خدنا نسميها دي BCDE
+
+633
+01:08:17,150 --> 01:08:28,350
+الان المثلث A D E صار معروف في تلت زوايا وضلع
+
+634
+01:08:28,350 --> 01:08:32,770
+معناه انت ممكن تستخدم ال sign لو عشان توجد الأضلاع
+
+635
+01:08:32,770 --> 01:08:43,490
+تانية هستخدم المثلث ال مثلث A D E هستخدم ال sign
+
+636
+01:08:43,490 --> 01:08:51,110
+لو حاجة أحكيAE على
+
+637
+01:08:51,110 --> 01:09:05,350
+sign Alpha زائد Beta بتساوي AD على
+
+638
+01:09:05,350 --> 01:09:12,490
+sign Phi بتساوي DE
+
+639
+01:09:15,820 --> 01:09:25,800
+على sign الستين انا معروف عندي معروف
+
+640
+01:09:25,800 --> 01:09:32,120
+عندي ال a دي و ال five معروفة و ال alpha معروفة و
+
+641
+01:09:32,120 --> 01:09:39,640
+ال beta معروفة معناته ممكن احسب ال a e كالكلية ال
+
+642
+01:09:39,640 --> 01:09:50,760
+a e حسير عندي a e تحسب معروفةو الـ DE تحسب صارت
+
+643
+01:09:50,760 --> 01:09:59,180
+معروف، معناه أن المثلث صار معروف الآن
+
+644
+01:09:59,180 --> 01:10:04,360
+صارت AE معروفة و AB معروفة، معناه أن BE بقدر
+
+645
+01:10:04,360 --> 01:10:04,960
+أعرفها
+
+646
+01:10:16,120 --> 01:10:22,540
+الـ ال BE هتساوي
+
+647
+01:10:22,540 --> 01:10:29,260
+AE minus
+
+648
+01:10:29,260 --> 01:10:33,760
+AB صارت
+
+649
+01:10:33,760 --> 01:10:40,020
+ال BE عندي معروفة طيب
+
+650
+01:10:49,140 --> 01:10:54,300
+أحسس سرعة الـ VB VB
+
+651
+01:10:54,300 --> 01:11:02,980
+هتكون اسمها Omega 2 في AB Omega 2 احنا حكينا عشرة
+
+652
+01:11:02,980 --> 01:11:08,940
+point أربعة سبعة في
+
+653
+01:11:08,940 --> 01:11:18,520
+AB اللي هو تلت ميت ملي في تلت ميت ملي تطلع السرعة
+
+654
+01:11:19,460 --> 01:11:28,860
+بالـ millimeter per second هذه VB يعني
+
+655
+01:11:28,860 --> 01:11:37,080
+الـ VB صارت معروفة و برضه VB هتساوي Omega تاعت
+
+656
+01:11:37,080 --> 01:11:41,160
+Ling 3 في
+
+657
+01:11:41,160 --> 01:11:46,500
+BE معناته Omega 3
+
+658
+01:11:49,330 --> 01:11:56,350
+هتكون تساوي VB على BE طبعا هتكون Omega تلاتة
+
+659
+01:11:56,350 --> 01:12:01,930
+counter clockwise لإن هاي VB بتحاول تلف H counter
+
+660
+01:12:01,930 --> 01:12:08,490
+clockwise انا
+
+661
+01:12:08,490 --> 01:12:15,100
+حليتها graphics مع analytic methodفي الكتاب حللها
+
+662
+01:12:15,100 --> 01:12:19,820
+graphically فقط فانا بفضل يعني بفضل بشكل عام كل ما
+
+663
+01:12:19,820 --> 01:12:22,900
+أمكن أعمل خلق بين ال graphics و ال analytic
+
+664
+01:12:22,900 --> 01:12:27,320
+methods طيب
+
+665
+01:12:27,320 --> 01:12:30,380
+نشوف
+
+666
+01:12:30,380 --> 01:12:35,760
+مثال تاني فهنمسح
+
+667
+01:12:35,760 --> 01:12:36,200
+اللوح
+
+668
+01:13:17,090 --> 01:13:24,370
+طيب فين ال slotted crank mechanism نص
+
+669
+01:13:24,370 --> 01:13:26,710
+السؤال بيحكي locate all instance centers of the
+
+670
+01:13:26,710 --> 01:13:30,610
+slotted crank mechanism يعي حدد مواقع كل المراكز
+
+671
+01:13:30,610 --> 01:13:36,890
+دورة لحظية للميكانزم المبينة if the crank هذي ال
+
+672
+01:13:36,890 --> 01:13:43,640
+crank rotates clockwise تجاه قار الساعةو الآن انا
+
+673
+01:13:43,640 --> 01:13:46,200
+اقدر فى list of ten radians per second find فى
+
+674
+01:13:46,200 --> 01:13:51,740
+list of slider A و انا اقدر فى list of connecting
+
+675
+01:13:51,740 --> 01:13:56,840
+rod AB طيب اول خطوة بدنا نجد ال instant centers
+
+676
+01:13:56,840 --> 01:14:01,600
+اول شي اكملينك عندى بدى ارقمهم عند الأرض ثابتة هى
+
+677
+01:14:01,600 --> 01:14:08,380
+واحد هذه
+
+678
+01:14:08,380 --> 01:14:09,700
+واحد الأرض ثابتة
+
+679
+01:14:14,060 --> 01:14:21,820
+وعندي ال two هذا ال link two وعندي
+
+680
+01:14:21,820 --> 01:14:26,280
+ال connecting road هذا ال link تلاتة وعندي ال
+
+681
+01:14:26,280 --> 01:14:36,120
+slider هذا أربعة يعني عندي طبعا
+
+682
+01:14:36,120 --> 01:14:38,000
+هم عطيني اللي هو OB
+
+683
+01:14:44,120 --> 01:14:50,960
+بتساوي 100 ميلي متر ومعطيني
+
+684
+01:14:50,960 --> 01:14:56,300
+AB 400
+
+685
+01:14:56,300 --> 01:15:04,720
+ميلي ميلي متر ومعطيني الزاوية 45 درجة في اللحظة
+
+686
+01:15:04,720 --> 01:15:12,940
+هذه يعني أول شي برقم اللينكاتعندي ال link الثابت
+
+687
+01:15:12,940 --> 01:15:15,700
+واحد و ال crank اتنين و ال connecting rod تلاتة و
+
+688
+01:15:15,700 --> 01:15:19,420
+ال slider اربعة معناه اندي number of links N small
+
+689
+01:15:19,420 --> 01:15:24,420
+اربعة معناه ان number of instance centers هكون N
+
+690
+01:15:24,420 --> 01:15:29,900
+في N ناقص واحد على اتنين هيساوي ايش ستة instance
+
+691
+01:15:29,900 --> 01:15:38,100
+centers هعمل
+
+692
+01:15:38,100 --> 01:15:38,540
+جدول
+
+693
+01:15:58,410 --> 01:16:04,710
+هي ال link واحد اتنين تلاتة اربعة وهين ال instant
+
+694
+01:16:04,710 --> 01:16:12,930
+centers هي عندي واحد مع اتنين واحد مع اتنين واحد
+
+695
+01:16:12,930 --> 01:16:18,050
+مع تلاتة واحد مع اربعة اتنين مع واحد already موجود
+
+696
+01:16:18,050 --> 01:16:22,270
+اتنين مع تلاتة و اتنين مع اربعة تلاتة مع واحد
+
+697
+01:16:22,270 --> 01:16:25,350
+already موجودة تلاتة مع اتنين موجودة يعني تلاتة مع
+
+698
+01:16:25,350 --> 01:16:27,870
+اربعة عند ال instant centers كلها
+
+699
+01:16:34,480 --> 01:16:37,720
+موجودة هعمل دائرة
+
+700
+01:16:56,050 --> 01:16:59,970
+أول شي by inspection I will locate all fixed
+
+701
+01:16:59,970 --> 01:17:08,290
+instance centers عندي هذه هذي
+
+702
+01:17:08,290 --> 01:17:20,450
+instance center I12 هذي I12 هذي صار معروف I12 صار
+
+703
+01:17:20,450 --> 01:17:20,930
+معروف
+
+704
+01:17:31,930 --> 01:17:36,930
+اللي هو اي واحد اتنين fixed
+
+705
+01:17:36,930 --> 01:17:44,670
+instance center فعندي
+
+706
+01:17:44,670 --> 01:17:47,930
+و بعدين بدي اشوف ال pyramid instance center عندي
+
+707
+01:17:47,930 --> 01:17:56,130
+هاي عندي هين اي اتنين
+
+708
+01:17:56,130 --> 01:17:56,870
+تلاتة
+
+709
+01:18:07,940 --> 01:18:12,920
+اتنين تلاتة permanent instant center هاي اتنين مع
+
+710
+01:18:12,920 --> 01:18:23,500
+تلاتة و
+
+711
+01:18:23,500 --> 01:18:26,060
+بعد ان دي بين ال slider و ال connecting rod اللي
+
+712
+01:18:26,060 --> 01:18:33,680
+هي تلاتة أربعة I تلاتة
+
+713
+01:18:33,680 --> 01:18:34,860
+أربعة
+
+714
+01:18:49,390 --> 01:18:56,750
+الان ال slider is in pure translation معناته ال
+
+715
+01:18:56,750 --> 01:19:05,830
+instant standard بتاعه هيكون في infinity I14
+
+716
+01:19:05,830 --> 01:19:11,630
+at infinity معناته I14 برضه ايش معروف
+
+717
+01:19:18,510 --> 01:19:27,590
+بتضل I 13 و I 24 هاخد
+
+718
+01:19:27,590 --> 01:19:38,630
+link 1 و 2 و 3 ال link اللي احنا حكينا I 12 fixed
+
+719
+01:19:38,630 --> 01:19:44,570
+و I 34
+
+720
+01:19:44,570 --> 01:19:52,650
+I 23و I تلاتة أربع permanent طيب
+
+721
+01:19:52,650 --> 01:20:00,490
+هستخدم Kennedy's theorem هاخد link واحد
+
+722
+01:20:00,490 --> 01:20:07,570
+و اتنين و تلاتة هيكون عنده instant center I واحد
+
+723
+01:20:07,570 --> 01:20:13,890
+اتنين و I واحد تلاتة و I اتنين تلاتة هدول instant
+
+724
+01:20:13,890 --> 01:20:14,530
+centers
+
+725
+01:20:21,410 --> 01:20:24,390
+هيكون على نفس الاستقام، عندي link واحد و اتنين و
+
+726
+01:20:24,390 --> 01:20:28,710
+تلاتة، هاي واحد اتنين و تلاتة، هاي I واحد و I
+
+727
+01:20:28,710 --> 01:20:30,770
+اتنين تلاتة هيكون على نفس الاستقام، معناته I واحد
+
+728
+01:20:30,770 --> 01:20:35,550
+تلاتة هيكون وين؟ لو عملت خط بالشكل هذا
+
+729
+01:20:52,760 --> 01:20:59,000
+بدي اخد links واحد و تلاتة و اربعة links معناته
+
+730
+01:20:59,000 --> 01:21:03,120
+هنا هيكون على متر الخط خط ال I واحد تلاتة جاية على
+
+731
+01:21:03,120 --> 01:21:11,180
+متر الخط هذا هاخد links واحد و تلاتة و اربعة هيكون
+
+732
+01:21:11,180 --> 01:21:18,320
+عندي I واحد تلاتة و I واحد اربعة و I تلاتة اربعة
+
+733
+01:21:21,520 --> 01:21:27,660
+هي هاي تلاتة أربعة وهي واحد أربعة في نهاية، معناته
+
+734
+01:21:27,660 --> 01:21:32,520
+لو مديت هذا هيكون
+
+735
+01:21:32,520 --> 01:21:35,680
+اي واحد تلاتة برضه واقع هنا اي واحد تلاتة واقع هنا
+
+736
+01:21:35,680 --> 01:21:43,280
+معناته هذا يمثل اي واحد تلاتة معناته اي واحد تلاتة
+
+737
+01:21:43,280 --> 01:21:45,200
+صار already معروف
+
+738
+01:21:52,680 --> 01:21:58,900
+ظال عندي اي اتنين اربعة اي اتنين اربعة هاخد link
+
+739
+01:21:58,900 --> 01:22:10,480
+اتنين و تلاتة و اربعة links اتنين
+
+740
+01:22:10,480 --> 01:22:15,360
+و تلاتة و اربعة طبق ال Kennedy theorem هكون عندي I
+
+741
+01:22:17,080 --> 01:22:23,400
+I اتنين تلاتة و I اتنين اربعة و I تلاتة اربعة نفس
+
+742
+01:22:23,400 --> 01:22:28,280
+الاستقالة و الان انت تطلع عليهم I اتنين تلاتة هيها
+
+743
+01:22:28,280 --> 01:22:44,340
+و I تلاتة اربعة هيها معناته
+
+744
+01:22:44,340 --> 01:22:46,380
+طبقا اللي كانت ال theorem هيكون عندي
+
+745
+01:22:49,580 --> 01:22:57,320
+I اتنين تلاتة و I تلاتة اربعة و I اتنين اربعة
+
+746
+01:22:57,320 --> 01:22:59,140
+جايين على خط هذا
+
+747
+01:23:26,290 --> 01:23:35,290
+هاخد واحد واتنين واربعة هاخد links links واحد
+
+748
+01:23:35,290 --> 01:23:48,070
+واتنين واربعة هكوندي I واحد اتنين و I اتنين اربعة
+
+749
+01:23:48,070 --> 01:23:54,090
+و I واحد اربعة على نفس الاستقامة
+
+750
+01:23:57,410 --> 01:24:09,210
+I هاي I واحد هاي I واحد اتنين وعندي I واحد اربعة I
+
+751
+01:24:09,210 --> 01:24:13,710
+واحد اربعة it goes to infinity معناته هذا انا ممكن
+
+752
+01:24:13,710 --> 01:24:20,250
+أنقله هنا معناته هنا حسينا عندي هين هين
+
+753
+01:24:20,250 --> 01:24:23,850
+عندي I واحد اربعة ممكن اجيه هنا واحد اربعة at
+
+754
+01:24:23,850 --> 01:24:25,490
+infinity
+
+755
+01:24:27,320 --> 01:24:31,980
+معناته حيكون عندي I12 و I1 و I24 على نفس الخط هذا
+
+756
+01:24:31,980 --> 01:24:40,920
+و I24 على نفس الخط هذا لو مديت الخط هذا هذا يمثل
+
+757
+01:24:40,920 --> 01:24:49,100
+I24 معناته انا ا find all the instance centers هذا
+
+758
+01:24:49,100 --> 01:24:49,840
+المطلوب الأول
+
+759
+01:24:54,430 --> 01:24:59,130
+طيب المطلوب التاني بده .. بده سرعة ال slider عند a
+
+760
+01:24:59,130 --> 01:25:07,730
+و بده السرعة الزاوية لل connecting rod a,b هشتغل
+
+761
+01:25:07,730 --> 01:25:14,170
+شوية geometry الآن
+
+762
+01:25:14,170 --> 01:25:16,710
+اتطلع عند الزاوية .. انا عندي .. عندي هايم مثلث
+
+763
+01:25:16,710 --> 01:25:26,930
+مثلثمعروف في ضلع، ضلعين وزاوية، لأن لو نزلت عمودي
+
+764
+01:25:26,930 --> 01:25:30,730
+N
+
+765
+01:25:30,730 --> 01:25:38,990
+سميت هذه C بي سي
+
+766
+01:25:38,990 --> 01:25:47,130
+بي سي واقع في المثلث OCB و برضه بي سي واقع في
+
+767
+01:25:47,130 --> 01:25:58,270
+المثلثACB لو سميتها في الزاوية في الـ PHY SIN
+
+768
+01:25:58,270 --> 01:26:08,610
+PHY او بي سي بي سي
+
+769
+01:26:08,610 --> 01:26:13,630
+بتساوي لما تكون واقع المثلث ACB
+
+770
+01:26:15,340 --> 01:26:21,800
+هتكون بتساوي ab في sign الفي بيساوي ab في sign
+
+771
+01:26:21,800 --> 01:26:28,920
+الفي وبرضه بتساوي ob في sign الخمس واربعين بيساوي
+
+772
+01:26:28,920 --> 01:26:32,680
+ob في
+
+773
+01:26:32,680 --> 01:26:40,680
+sign الخمس واربعين معناته ال ab ال sign الفي
+
+774
+01:26:40,680 --> 01:26:50,820
+هتساوي ال ob اللي هومية ع الأي بي أربعة مية في
+
+775
+01:26:50,820 --> 01:26:59,620
+sign الخمسة واربعين درجة ومنها بحسب الفايل منها
+
+776
+01:26:59,620 --> 01:27:06,180
+بحسب الفايل يعني نصات زوها دي معروفة
+
+777
+01:27:15,370 --> 01:27:20,750
+الان المثلث خلينا نسميها C و نسمي نقطة هذه D
+
+778
+01:27:20,750 --> 01:27:25,750
+المثلث
+
+779
+01:27:25,750 --> 01:27:39,890
+OAD
+
+780
+01:27:39,890 --> 01:27:42,270
+هذا المثلث
+
+781
+01:27:45,300 --> 01:27:53,480
+او اد قائم الزاوية في ايه؟ هذي خمس و أربعين،
+
+782
+01:27:53,480 --> 01:27:58,760
+معناته هذي هتكون برضه ايش؟
+
+783
+01:27:58,760 --> 01:27:59,700
+خمس و أربعين
+
+784
+01:28:19,100 --> 01:28:26,680
+طيب خناخد المثالث O B A انا عارف زاوية هذه خمس و
+
+785
+01:28:26,680 --> 01:28:31,660
+أربعين و هذه الـ Phi already حسبتها معناته هذه
+
+786
+01:28:31,660 --> 01:28:34,300
+الزاوية بقدر احسبها ولا ماقدراش احسبها؟ هذه بقدر
+
+787
+01:28:34,300 --> 01:28:43,420
+احسبها هذه الزاوية هسميها Beta Beta
+
+788
+01:28:43,420 --> 01:28:47,880
+هتكون تساوي Beta
+
+789
+01:28:52,230 --> 01:29:01,050
+كنت سوى مية و تمانين ناقص خمسة و أربعين ناقص في
+
+790
+01:29:01,050 --> 01:29:10,130
+اللي حسبتها صارت Beta معروفة معناه المثلث OBA كل
+
+791
+01:29:10,130 --> 01:29:14,690
+الزوايا معروفة فيه وفي ضلعين معروفين
+
+792
+01:29:16,880 --> 01:29:20,280
+معناته أما أستخدم الـSin Low أو الـCos Low عشان
+
+793
+01:29:20,280 --> 01:29:28,900
+أحسب الـOA لو استخدمت الـCos Low إذا بدي أستخدم
+
+794
+01:29:28,900 --> 01:29:38,120
+الـSin Low أسهل أحكي أن OA على
+
+795
+01:29:38,120 --> 01:29:44,460
+Sin Beta بالسوء
+
+796
+01:29:44,460 --> 01:29:44,880
+AB
+
+797
+01:29:49,130 --> 01:29:55,250
+على sign الخمسة واربعين يعني ال OE اللي انا بدي
+
+798
+01:29:55,250 --> 01:30:06,130
+احسبه OE هتسوى AB اللي هو أربعمية في ال sign ال
+
+799
+01:30:06,130 --> 01:30:13,230
+beta على sign الخمسة واربعين معناته OE صار معروف
+
+800
+01:30:13,230 --> 01:30:17,830
+عندى OE صار معروف
+
+801
+01:30:30,630 --> 01:30:43,390
+طيب الان طالما O A معروف والمثلث O A D قائم
+
+802
+01:30:43,390 --> 01:30:48,970
+الزاوية المثلث O
+
+803
+01:30:50,880 --> 01:31:02,780
+اد قائم الزاوية عند a معناته او دي او دي تربيع
+
+804
+01:31:02,780 --> 01:31:06,780
+هتكون
+
+805
+01:31:06,780 --> 01:31:16,580
+تستوي او اي تربيع زي ادي تربيعواحنا عارفين هذا
+
+806
+01:31:16,580 --> 01:31:18,320
+خمسة واربعين خمسة واربعين خمسة واربعين خمسة
+
+807
+01:31:18,320 --> 01:31:18,560
+واربعين خمسة واربعين خمسة واربعين خمسة واربعين
+
+808
+01:31:18,560 --> 01:31:19,080
+خمسة واربعين خمسة واربعين خمسة واربعين خمسة
+
+809
+01:31:19,080 --> 01:31:21,020
+واربعين خمسة واربعين خمسة واربعين خمسة واربعين
+
+810
+01:31:21,020 --> 01:31:25,080
+خمسة واربعين خمسة واربعين خمسة واربعين خمسة
+
+811
+01:31:25,080 --> 01:31:36,120
+واربعين خمسة واربعين خمسة واربعين خمسة واربعين
+
+812
+01:31:36,120 --> 01:31:44,660
+خمسة واربعين خمسة واربعين خمسة واربعين
+
+813
+01:31:48,090 --> 01:31:55,790
+هتساوي OD اللي انا حسبته ناقص OB اللي هو مية
+
+814
+01:31:55,790 --> 01:32:04,870
+بتعوضه وبتحسبه ب D اللي
+
+815
+01:32:04,870 --> 01:32:13,350
+هو السرعة الزاوية للي crank عشر radians clockwise
+
+816
+01:32:13,350 --> 01:32:15,590
+ممكن احسس سرعة النقطة B
+
+817
+01:32:22,480 --> 01:32:32,300
+VB VB عمودية على OB VB VB
+
+818
+01:32:32,300 --> 01:32:37,080
+لما تكون واقع على ال crank اللي هي OB بتكون سوى
+
+819
+01:32:37,080 --> 01:32:44,820
+Omega 2 هي سرعة زي الكرانك في OB بتساوي
+
+820
+01:32:46,740 --> 01:32:51,320
+إذا اعتبرت النقطة B واقع الـ Connecting Rod AB
+
+821
+01:32:51,320 --> 01:32:57,240
+هتكون ساوية Omega 3 اللي هي السرعة الزاوية للـ
+
+822
+01:32:57,240 --> 01:33:02,860
+Connecting Rod في BD
+
+823
+01:33:02,860 --> 01:33:15,240
+معناته Omega 3 هتكون تساوية Omega 2 في AB على
+
+824
+01:33:26,040 --> 01:33:34,120
+BD طيب الان
+
+825
+01:33:34,120 --> 01:33:37,580
+واضح
+
+826
+01:33:37,580 --> 01:33:40,340
+انه counter clockwise
+
+827
+01:33:45,230 --> 01:33:52,930
+هتكون في اللحظة هذه هتكون VA VA
+
+828
+01:33:52,930 --> 01:33:58,290
+صورة ال slider ال A ممكن اعتبر واقع ال slider و
+
+829
+01:33:58,290 --> 01:34:00,650
+ممكن اعتبر واقع ال connecting rod اذا كانت واقع ال
+
+830
+01:34:00,650 --> 01:34:09,190
+connecting rod هتكون تستوى Omega تلاتة في A
+
+831
+01:34:09,190 --> 01:34:12,710
+D
+
+832
+01:34:21,380 --> 01:34:25,980
+طبعا omega 3 already حسبناها و O D و A D بالساوية
+
+833
+01:34:25,980 --> 01:34:30,460
+اللي هي O A already حسبناها و منها بحسب اللي هو
+
+834
+01:34:30,460 --> 01:34:44,180
+صورة ال slider VA طبعا جاي بتجاه اليمين طب
+
+835
+01:34:44,180 --> 01:34:45,600
+انحل مثال تاني
+
+836
+01:35:17,860 --> 01:35:35,080
+عندي ميكانزم معطيني الأطوال OA و AB و BC و CD و BA
+
+837
+01:35:35,080 --> 01:35:41,420
+و الارتفاع هذا معطيني كل الأطوال عند الكرانك OA
+
+838
+01:35:41,420 --> 01:35:48,560
+هذا الكرانك OAبتدور بسرعة زاوية منتظرة باتجاه حتة
+
+839
+01:35:48,560 --> 01:35:54,540
+ساعة بيبقى مائة و عشرين rpm بدنا يعني أهم شي بدي
+
+840
+01:35:54,540 --> 01:35:57,540
+أعمل .. بدي أركز انا how to locate ال instance
+
+841
+01:35:57,540 --> 01:36:02,360
+centers I want to locate ال instance centers لهذه
+
+842
+01:36:02,360 --> 01:36:06,200
+ال mechanism أول
+
+843
+01:36:06,200 --> 01:36:11,360
+شي بدي أرقم ال link يعني هاي ال link رقم واحد اللي
+
+844
+01:36:11,360 --> 01:36:17,030
+هي الأرضعندي هذا ال link رقم اتنين اللي هي OA عندي
+
+845
+01:36:17,030 --> 01:36:28,330
+AB link رقم تلاتة عندي BC link رقم أربعة عندي CD
+
+846
+01:36:28,330 --> 01:36:37,330
+link رقم خمسة وعندي ال slider link رقم ستة وهذا ال
+
+847
+01:36:37,330 --> 01:36:47,180
+link رقم ومعناته انا عنديستة links عندي n بيساوي
+
+848
+01:36:47,180 --> 01:36:51,000
+ستة معناته number of instant centers هيكون سوى n
+
+849
+01:36:51,000 --> 01:36:58,060
+في n ناقص واحد هيساوي ستة في خمسة على اتنين طبعا
+
+850
+01:36:58,060 --> 01:37:04,320
+هيطلع خمستاشر instant center خمستاشر instant
+
+851
+01:37:04,320 --> 01:37:06,760
+center الآن
+
+852
+01:37:09,100 --> 01:37:12,760
+الان هكون فيها تفاصيل هذه الان عندي هاي ال
+
+853
+01:37:12,760 --> 01:37:21,840
+instance centers عندي
+
+854
+01:37:21,840 --> 01:37:28,060
+هاي واحد اتنين تلاتة
+
+855
+01:37:32,000 --> 01:37:41,000
+اربع خمسة هاي ستة هاي link واحد اتنين تلاتة اربع
+
+856
+01:37:41,000 --> 01:37:47,520
+خمسة ستة الان
+
+857
+01:37:47,520 --> 01:37:51,700
+واحد هتكون واحد مع اتنين هاي instance واحد اتنين
+
+858
+01:37:51,700 --> 01:37:57,320
+واحد مع تلاتة واحد مع اربع واحد مع خمسة واحد مع
+
+859
+01:37:57,320 --> 01:37:57,800
+ستة
+
+860
+01:38:04,670 --> 01:38:08,610
+الان واحد اتنين already عملت يعني اتنين مع تلاتة
+
+861
+01:38:08,610 --> 01:38:15,730
+اتنين مع اربعة اتنين مع خمسة و اتنين مع ستة تلاتة
+
+862
+01:38:15,730 --> 01:38:24,890
+مع اربعة و تلاتة مع خمسة تلاتة مع ستة بعدين عندي
+
+863
+01:38:24,890 --> 01:38:34,060
+اربعة مع خمسة و اربعة مع ستة و خمسة مع ستةعندي
+
+864
+01:38:34,060 --> 01:38:37,320
+واحد، اتنين، تلاتة، اربعة، خمسة، ستة، سبعة، تانية،
+
+865
+01:38:37,320 --> 01:38:40,360
+تسعة، عشر، أحداشر، اتناشر، تلاتاشر، اربعتاشر،
+
+866
+01:38:40,360 --> 01:38:51,120
+خمستاشر Instant Center معناته مية في المية أول
+
+867
+01:38:51,120 --> 01:38:53,480
+الشيء أسهل طريقة بده أعرف في ال fixed Instant
+
+868
+01:38:53,480 --> 01:39:00,280
+Centers عندي هنا هذا fixed
+
+869
+01:39:02,110 --> 01:39:11,070
+هي اي واحد اتنين صار معروف هاي واحد اتنين معروف
+
+870
+01:39:11,070 --> 01:39:19,590
+وعندي هاد اي واحد
+
+871
+01:39:19,590 --> 01:39:29,370
+اربعة معروف هاي واحد اربعة وعندي
+
+872
+01:39:31,960 --> 01:39:39,720
+واحد ستة goes to infinity I واحد
+
+873
+01:39:39,720 --> 01:39:51,920
+ستة at infinity I واحد ستة طيب
+
+874
+01:39:51,920 --> 01:39:55,500
+الان
+
+875
+01:39:55,500 --> 01:39:58,120
+بين اتنين و تلاتة
+
+876
+01:40:01,520 --> 01:40:08,120
+بين اتنين و تلاتة هذا اي اتنين
+
+877
+01:40:08,120 --> 01:40:16,200
+تلاتة بين
+
+878
+01:40:16,200 --> 01:40:20,280
+تلاتة و اربعة هاي
+
+879
+01:40:20,280 --> 01:40:22,720
+اي تلاتة اربعة
+
+880
+01:40:30,790 --> 01:40:45,830
+بين أربعة و خمسة هاي I أربعة و خمسة بين
+
+881
+01:40:45,830 --> 01:40:53,890
+خمسة و ستة هاي I خمسة و ستة
+
+882
+01:40:59,020 --> 01:41:01,300
+يعني نعرف اللي هتطلع اذا واحد اتنين تلاتة اربعة
+
+883
+01:41:01,300 --> 01:41:09,560
+خمسة ستة سبعة اعرفنا ستة سبعة instant centers الان
+
+884
+01:41:09,560 --> 01:41:15,240
+بدي احاول اجيب I واحد تلاتة I واحد تلاتة هاخد
+
+885
+01:41:15,240 --> 01:41:23,020
+links واحد و اتنين links واحد
+
+886
+01:41:23,020 --> 01:41:28,250
+و اتنين و تلاتة هكون عند ال instant center Iاحد
+
+887
+01:41:28,250 --> 01:41:33,570
+اتنين و I واحد تلاتة و I اتنين تلاتة على نفس
+
+888
+01:41:33,570 --> 01:41:36,410
+الاستقبال تبقى اللي كان ده theorem يعني اندي I I
+
+889
+01:41:36,410 --> 01:41:44,030
+واحد اتنين و I اتنين تلاتة و I واحد تلاتة هكون على
+
+890
+01:41:44,030 --> 01:41:52,610
+نفس الخط هذا I
+
+891
+01:41:52,610 --> 01:41:53,690
+واحد تلاتة
+
+892
+01:41:56,530 --> 01:42:03,310
+هيكون واقع الخط هذا مش عارفين هو مكانه هاخد
+
+893
+01:42:03,310 --> 01:42:10,810
+واحد واربعة وتلاتة length length واحد واربعة
+
+894
+01:42:10,810 --> 01:42:18,750
+وتلاتة اي واحد اربعة و اي واحد تلاتة و اي تلاتة
+
+895
+01:42:18,750 --> 01:42:22,310
+اربعة هيكونوا على نفس الاستقبال انا عند اي تلاتة
+
+896
+01:42:22,310 --> 01:42:28,140
+اربعةو I14 معناته هيكون عندي هنا لو مديت هذا الخط
+
+897
+01:42:28,140 --> 01:42:32,660
+هكون
+
+898
+01:42:32,660 --> 01:42:41,820
+I13 واقع الخط هذا و واقع الخط معناته هذه تمثل I13
+
+899
+01:42:41,820 --> 01:42:48,960
+عرفنا I13 I13
+
+900
+01:43:11,070 --> 01:43:20,970
+لو خدت link أربعة و .. خدنا نشوف مين أوجد في الأول
+
+901
+01:43:20,970 --> 01:43:28,310
+عند اتنين أربعة هاخد
+
+902
+01:43:28,310 --> 01:43:34,450
+link links انا
+
+903
+01:43:34,450 --> 01:43:41,240
+بدي أعرف واحد خمسة هاخد واحدو أربعة و خمسة ال
+
+904
+01:43:41,240 --> 01:43:47,740
+links واحد و أربعة و خمسة هيكون دي I واحد أربعة و
+
+905
+01:43:47,740 --> 01:43:54,460
+I واحد خمسة و I أربعة خمسة يعني دي I واحد أربعة I
+
+906
+01:43:54,460 --> 01:44:00,860
+I واحد أربعة و هاي I أربعة خمسة I واحد خمسة هيكون
+
+907
+01:44:00,860 --> 01:44:09,880
+هاي I واحد خمسة على الخط هذا الواقعبعدين هاخد
+
+908
+01:44:09,880 --> 01:44:16,400
+links links واحد
+
+909
+01:44:16,400 --> 01:44:25,240
+و خمسة و ستة هكون عندي I واحد خمسة و I واحد ستة و
+
+910
+01:44:25,240 --> 01:44:31,520
+I خمسة ستة واقعين على نفس الخط الآن هاي I واحد ستة
+
+911
+01:44:31,520 --> 01:44:32,720
+و I خمس ستة همد
+
+912
+01:44:37,090 --> 01:44:42,410
+هكون عندى معناته هد هن هكون اي واحد خمسة معناته هى
+
+913
+01:44:42,410 --> 01:44:50,750
+اي واحد خمسة جاى على التقطع هى اي واحد خمسة هى
+
+914
+01:44:50,750 --> 01:44:56,130
+خلصنا من هد اي
+
+915
+01:44:56,130 --> 01:45:07,370
+واحد خمسة خلينا نشوف الاي اتنين اربعةهاخد links
+
+916
+01:45:07,370 --> 01:45:10,990
+links
+
+917
+01:45:10,990 --> 01:45:16,130
+124
+
+918
+01:45:16,130 --> 01:45:25,010
+هيكون عندي I12 و I14 و I24 على نفس الاستقامة هي
+
+919
+01:45:25,010 --> 01:45:33,670
+I12 هي I12 و هي I14 معناه ان I24 وقع على الخط هذا
+
+920
+01:45:37,450 --> 01:45:52,390
+واقع على الخط هذا بتاخد
+
+921
+01:45:52,390 --> 01:45:56,630
+links اتنين
+
+922
+01:45:56,630 --> 01:46:03,690
+و تلاتة و اربعة هكون دي I اتنين تلاتة و I اتنين
+
+923
+01:46:03,690 --> 01:46:08,140
+اربعةو I تلاتة اربعة واقعية نفس الخط الان عندي هاي
+
+924
+01:46:08,140 --> 01:46:13,440
+I اتنين تلاتة و هاي I تلاتة اربعة معناته I اتنين
+
+925
+01:46:13,440 --> 01:46:22,480
+اربعة هيكون واقع الخط هذا معناته هذا I اتنين اربعة
+
+926
+01:46:22,480 --> 01:46:30,380
+اعرفني I اتنين اربعة بدي
+
+927
+01:46:30,380 --> 01:46:39,020
+اعرف I اتنين خمسة هاخدالـ Length واحد
+
+928
+01:46:39,020 --> 01:46:45,420
+و اتنين و خمسة هيكون عندي I واحد اتنين و I واحد
+
+929
+01:46:45,420 --> 01:46:51,120
+خمسة و I اتنين خمسة على نفس الاستقابة I واحد اتنين
+
+930
+01:46:51,120 --> 01:46:55,160
+هي I واحد اتنين و I واحد خمسة هيه
+
+931
+01:47:06,410 --> 01:47:25,690
+هيكون اي و اي اتنين و خمسة واكة على نفس الخط هاخد
+
+932
+01:47:25,690 --> 01:47:26,170
+links
+
+933
+01:47:29,540 --> 01:47:37,540
+اتنين واربعة وخمسة هكذا عند I اتنين اربعة و I
+
+934
+01:47:37,540 --> 01:47:47,340
+اربعة خمسة و I اتنين خمسة واقعي على نفس الخط الآن
+
+935
+01:47:47,340 --> 01:47:54,060
+عند I اتنين اربعة هيو و
+
+936
+01:47:54,060 --> 01:47:57,880
+I اربعة خمسة هيو
+
+937
+01:48:00,840 --> 01:48:07,480
+و I 2 الخمسة معناته لو وصلت هدول و
+
+938
+01:48:07,480 --> 01:48:11,520
+مديت معناه I 2 الخمسة هكون واقع الخط هذا و واقع
+
+939
+01:48:11,520 --> 01:48:20,880
+الخط معناته هذا I هذا I 2 خمسة معناته I 2 الخمسة
+
+940
+01:48:20,880 --> 01:48:21,780
+صار معروف عنها
+
+941
+01:48:29,990 --> 01:48:39,010
+بنجيب اي اتنين ستة هاخد links واحد
+
+942
+01:48:39,010 --> 01:48:45,210
+و اتنين و ستة هكون اندي اي واحد اتنين و اي واحد
+
+943
+01:48:45,210 --> 01:48:50,910
+ستة و اي اتنين ستة و اقيم على نفس الخط الان هاي اي
+
+944
+01:48:50,910 --> 01:48:58,450
+واحد اتنين اي واحد ستة ممكن انقله هنا هاي اي واحد
+
+945
+01:48:58,450 --> 01:48:59,170
+ستة كمان
+
+946
+01:49:11,430 --> 01:49:14,810
+و آية اتنين ستة طبعا آية اتنين ستة هيكون ملاقية
+
+947
+01:49:14,810 --> 01:49:22,430
+على نفس الخط هذا الان هاخد link
+
+948
+01:49:22,430 --> 01:49:27,970
+links
+
+949
+01:49:27,970 --> 01:49:32,430
+اتنين
+
+950
+01:49:32,430 --> 01:49:41,170
+و ستة اتنين و تلاتة اتنين و تلاتة
+
+951
+01:49:46,490 --> 01:49:58,210
+و اتنين و خمسة و ستة اتنين و خمسة و ستة حيكون عندي
+
+952
+01:49:58,210 --> 01:50:06,150
+I اتنين خمسة و I اتنين ستة و I خمس ستة على نفس
+
+953
+01:50:06,150 --> 01:50:12,350
+الاصطقام I اتنين خمسة هاي I اتنين خمسة وعندي I
+
+954
+01:50:12,350 --> 01:50:27,220
+خمسة ستة وين I خمسة ستةاللي هو هذا خدونا نوصلهم و
+
+955
+01:50:27,220 --> 01:50:39,280
+مد هذا هتكون I 26 هخلصهم
+
+956
+01:50:39,280 --> 01:50:40,140
+I 26
+
+957
+01:50:47,940 --> 01:50:55,520
+اللي أنا هشوف تلاتة خمسة هاخد links واحد
+
+958
+01:50:55,520 --> 01:51:04,000
+و تلاتة و خمسة هيكون عندي I13 و I15 و I35 على نفس
+
+959
+01:51:04,000 --> 01:51:13,020
+الاستقامة أنا عند I13 هيها و
+
+960
+01:51:13,020 --> 01:51:15,980
+I15 هيها
+
+961
+01:51:18,430 --> 01:51:21,470
+معناته هتكون I تلاتة خمسة واقع على الخط هذا I
+
+962
+01:51:21,470 --> 01:51:28,350
+تلاتة خمسة برضه
+
+963
+01:51:28,350 --> 01:51:33,630
+I تلاتة خمسة واقع على الخط هذا هاخد
+
+964
+01:51:33,630 --> 01:51:42,490
+بعدين links اتنين
+
+965
+01:51:42,490 --> 01:51:52,180
+و تلاتة و خمسة هكون عندي Iإنين تلاتة و آية تلاتة
+
+966
+01:51:52,180 --> 01:52:04,760
+خمسة و آية .. آية إتنين تلاتة و آية إتنين خمسة
+
+967
+01:52:04,760 --> 01:52:12,040
+لأن آية إتنين تلاتة already هي آية إتنين تلاتة
+
+968
+01:52:16,580 --> 01:52:21,140
+و آية تلاتة خمسة اللي أنا مش عارفها و آية اتنين
+
+969
+01:52:21,140 --> 01:52:30,060
+خمسة هاي آية اتنين خمسة آية
+
+970
+01:52:30,060 --> 01:52:33,460
+اتنين خمسة و آية اتنين تلاتة
+
+971
+01:52:40,220 --> 01:52:44,120
+هيكون I تلاتة خمسة متقاطعة أنا الرسم مش دقيق
+
+972
+01:52:44,120 --> 01:52:48,820
+فهتبين معناه الآن بنفس الطريقة .. بنفس الطريقة لأن
+
+973
+01:52:48,820 --> 01:52:54,380
+أنا كرتها كتير بحسب I تلاتة ستة و I أربعة ستة الآن
+
+974
+01:52:54,380 --> 01:52:56,960
+هتشوفوا الحل هنا جاهز complete
+
+975
+01:53:13,300 --> 01:53:18,640
+هاي كل ال incense centers هاي عندى
+
+976
+01:53:18,640 --> 01:53:33,540
+I12 I .. I12 I13 I14 I15 I1 .. I1 تبقى في نقمة
+
+977
+01:53:33,540 --> 01:53:41,120
+النهاية فعندى I23 I24
+
+978
+01:53:42,290 --> 01:53:50,550
+هو I اتنين خمسة وين I اتنين خمسة مش
+
+979
+01:53:50,550 --> 01:53:54,870
+مبينة هنا انهم بتتبعوا هذا الحل كامل انا وضحت كذا
+
+980
+01:53:54,870 --> 01:54:03,170
+مرة المحاضرة الجاية بنكمل في chapter جديد اللي هو
+
+981
+01:54:03,170 --> 01:54:04,330
+simple mechanisms
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vONhwXNiXVE.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vONhwXNiXVE.srt
new file mode 100644
index 0000000000000000000000000000000000000000..68702d87af8a51327e880c3711e4901a12447dfe
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vONhwXNiXVE.srt
@@ -0,0 +1,1480 @@
+1
+00:00:04,910 --> 00:00:07,970
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,970 --> 00:00:13,750
+وبركاته لأن هنستكمل المحاضرات في مادة نظرية الآلات
+
+3
+00:00:13,750 --> 00:00:17,330
+اللي هو هنتقل إلى شبتر جديد اللي هي حسابات الـ
+
+4
+00:00:17,330 --> 00:00:22,330
+inertia forces in reciprocating parts، وهنركز على
+
+5
+00:00:22,330 --> 00:00:25,830
+الـ reciprocating، هنركز على الـ slotted crank
+
+6
+00:00:25,830 --> 00:00:31,190
+mechanism لأنه هي الميكانيزم المستخدمة في المحركات
+
+7
+00:00:31,190 --> 00:00:35,850
+وبالتالي تستحق أن نبذل فيها جهدًا وتفصيلًا في
+
+8
+00:00:35,850 --> 00:00:41,870
+حساباتها. الآن هنشوف الـ analytical method لحسابات
+
+9
+00:00:41,870 --> 00:00:46,610
+الـ position والـ displacement والـ acceleration لأن
+
+10
+00:00:46,610 --> 00:00:49,170
+عندي هنا slotted crank mechanism. هذا الـ crank
+
+11
+00:00:53,580 --> 00:01:01,160
+هذا الـ crank، هذه نقطة A، هذا
+
+12
+00:01:01,160 --> 00:01:12,520
+الـ C، وعندي الـ piston، هذا الـ connecting rod، عندي
+
+13
+00:01:12,520 --> 00:01:13,180
+هنا الـ piston
+
+14
+00:01:25,420 --> 00:01:32,140
+الآن الـ crank بتلف باتجاه عقارب الساعة، يعني الـ
+
+15
+00:01:32,140 --> 00:01:38,440
+rotation باتجاه عقارب الساعة. في لحظة معينة، الـ crank
+
+16
+00:01:38,440 --> 00:01:44,580
+كانت عاملة زاوية θ مع
+
+17
+00:01:44,580 --> 00:01:49,580
+الأفق، والـ
+
+18
+00:01:49,580 --> 00:01:54,600
+connecting rod عامل زاوية φ
+
+19
+00:01:57,890 --> 00:02:03,050
+الآن، خلينا نتعرف على نقطتين أساسيتين. لما يكون OC
+
+20
+00:02:03,050 --> 00:02:10,650
+في الـ position هذا، يعني عند C'، هذا C' يكون على
+
+21
+00:02:10,650 --> 00:02:20,570
+امتداد connecting rod، يعني عند P'، هذا P'، بسميها
+
+22
+00:02:20,570 --> 00:02:23,790
+top dead center
+
+23
+00:02:25,820 --> 00:02:32,760
+أو في كتب يسموها الـ inner dead center. لما تكون
+
+24
+00:02:32,760 --> 00:02:42,400
+نقطة C عند نقطة C'،  الـ piston
+
+25
+00:02:42,400 --> 00:02:49,660
+هيكون هنا عند النقطة C''، بنسميه الـ Bottom Dead
+
+26
+00:02:49,660 --> 00:02:53,060
+Center
+
+27
+00:02:53,060 --> 00:02:57,040
+أو في كتب يسمونه الـ Outer Dead Center. أنا بفضل
+
+28
+00:02:57,040 --> 00:03:00,720
+أسميه Top Dead Center و Bottom Dead Center
+
+29
+00:03:09,340 --> 00:03:17,060
+يعني هذا الـ bottom dead center، والمسافة بين الـ top
+
+30
+00:03:17,060 --> 00:03:19,720
+dead center والـ bottom dead center بتمثل الـ stroke
+
+31
+00:03:19,720 --> 00:03:24,240
+الـ stroke، يعني الـ distance، الـ stroke
+
+32
+00:03:24,240 --> 00:03:28,520
+الـ
+
+33
+00:03:28,520 --> 00:03:32,440
+distance between
+
+34
+00:03:32,440 --> 00:03:36,200
+الـ
+
+35
+00:03:36,200 --> 00:03:37,040
+top dead center
+
+36
+00:03:40,770 --> 00:03:49,430
+and bottom dead center. At
+
+37
+00:03:49,430 --> 00:03:54,090
+any position, at any angle, the position the crank makes
+
+38
+00:03:54,090 --> 00:03:59,590
+an angle θ مع الـ horizontal، والـ connecting
+
+39
+00:03:59,590 --> 00:04:05,320
+rod بيعمل زاوية φ مع الـ horizontal. هيكون الـ
+
+40
+00:04:05,320 --> 00:04:07,720
+reference بتاعي اللي هو الـ top dead center، الـ
+
+41
+00:04:07,720 --> 00:04:15,960
+reference هو top dead center لأن
+
+42
+00:04:15,960 --> 00:04:22,140
+هذه المسافة from الـ top dead center to any
+
+43
+00:04:22,140 --> 00:04:27,880
+position هسميها X، المسافة
+
+44
+00:04:27,880 --> 00:04:32,880
+هذه كلها من هنا لهنا
+
+45
+00:04:36,930 --> 00:04:43,950
+عبارة عن اللي
+
+46
+00:04:43,950 --> 00:04:50,310
+هي نصف قطر الـ crank radius R زائد طول الـ connecting rod
+
+47
+00:04:50,310 --> 00:04:57,650
+R زائد L. R هي الـ crank radius، وL طول الـ
+
+48
+00:04:57,650 --> 00:05:03,890
+connecting rod. هسمي
+
+49
+00:05:03,890 --> 00:05:04,590
+نقطة هذه Q
+
+50
+00:05:09,540 --> 00:05:17,440
+هذه اللي هي PQ، المسافة
+
+51
+00:05:17,440 --> 00:05:20,940
+PQ
+
+52
+00:05:20,940 --> 00:05:28,460
+عبارة
+
+53
+00:05:28,460 --> 00:05:31,920
+عن الـ PC cos φ، هذا PC طوله L
+
+54
+00:05:35,100 --> 00:05:46,500
+cos φ، والمسافة هذه من هنا لهنا اللي هتكون R cos θ
+
+55
+00:05:46,500 --> 00:05:53,460
+يعني الـ X هيكون الـ
+
+56
+00:05:53,460 --> 00:06:00,800
+X هيكون OP ناقص
+
+57
+00:06:00,800 --> 00:06:01,940
+OP
+
+58
+00:06:06,140 --> 00:06:14,640
+الـ OP' اللي هحكي عنه عبارة عن R زائد L. R زائد L، R
+
+59
+00:06:14,640 --> 00:06:18,600
+الـ crank radius، وL الـ length of connecting rod، minus
+
+60
+00:06:18,600 --> 00:06:32,780
+الـ OB عبارة عن OQ زائد QP. OQ زائد QP، يعني هتساوي R
+
+61
+00:06:32,780 --> 00:06:44,900
+زائد L ناقص الـ OQ اللي هي R cos θ، والـ
+
+62
+00:06:44,900 --> 00:06:53,720
+QP الـ L cos φ، يعني
+
+63
+00:06:53,720 --> 00:06:59,990
+هتصير... هتأخذ R على المشترك، هتصير R في واحد ناقص
+
+64
+00:06:59,990 --> 00:07:11,290
+cos θ زائد L في واحد ناقص cos φ. هذه
+
+65
+00:07:11,290 --> 00:07:15,510
+الـ X، طيب
+
+66
+00:07:15,510 --> 00:07:23,150
+الآن، هل في علاقة بين φ و θ؟ الآن لو أخذت المثلث
+
+67
+00:07:23,150 --> 00:07:33,290
+المثلث PQC، المثلث PQC
+
+68
+00:07:33,290 --> 00:07:41,810
+اضلاعه CQ بيساوي
+
+69
+00:07:41,810 --> 00:07:50,910
+L sin φ. برضه إذا أخذت المثلث OQC
+
+70
+00:07:50,910 --> 00:07:55,230
+OQC
+
+71
+00:07:55,230 --> 00:08:05,170
+هيكون عندي CQ بيساوي R sin θ. معناته هشيل
+
+72
+00:08:05,170 --> 00:08:15,470
+عندنا L sin φ بيساوي R sin θ، يعني sin φ
+
+73
+00:08:15,470 --> 00:08:26,220
+هتكون تساوي R/L sin θ. خلّيني أعرّف، let's
+
+74
+00:08:26,220 --> 00:08:31,960
+define، خلّيني أعرّف الـ ratio، الـ connecting rod على
+
+75
+00:08:31,960 --> 00:08:37,300
+طول الـ crank، اللي هي L/R، معناته بتصير عندنا
+
+76
+00:08:37,300 --> 00:08:47,060
+sin φ بتساوي sin θ / N
+
+77
+00:08:52,520 --> 00:09:00,740
+طب خلّيني، إذا أنا عارف sin φ، عندي sin φ وحكيت
+
+78
+00:09:00,740 --> 00:09:10,220
+هذه φ، حكيت sin φ بتساوي هذا الضلع، عبارة عن sin
+
+79
+00:09:10,220 --> 00:09:16,580
+θ، وهذا N، معناته هذا الضلع إيش هيكون؟ هيكون
+
+80
+00:09:16,580 --> 00:09:17,640
+الجذر التربيعي
+
+81
+00:09:20,160 --> 00:09:28,020
+لـ 1 ناقص sin²θ، معناته cos φ
+
+82
+00:09:28,020 --> 00:09:32,220
+بتساوي
+
+83
+00:09:32,220 --> 00:09:41,620
+الجذر التربيعي لـ 1 ناقص sin²θ / N²
+
+84
+00:09:41,620 --> 00:09:45,120
+نعود
+
+85
+00:09:45,120 --> 00:09:47,580
+إلى المعادلة، معناته X بيساوي
+
+86
+00:09:51,330 --> 00:10:02,850
+R في واحد ناقص cos θ زائد L في
+
+87
+00:10:02,850 --> 00:10:12,110
+واحد ناقص cos φ، الجذر التربيعي لواحد
+
+88
+00:10:12,110 --> 00:10:17,450
+ناقص sin²θ / N²
+
+89
+00:10:25,880 --> 00:10:38,380
+هنا وجدنا علاقة لـ X، طيب
+
+90
+00:10:38,380 --> 00:10:44,400
+الآن
+
+91
+00:10:44,400 --> 00:10:53,420
+إحنا
+
+92
+00:10:53,420 --> 00:10:59,650
+so far أوجدنا علاقة، هذه، حكينا أن X يساوي R في واحد
+
+93
+00:10:59,650 --> 00:11:03,570
+ناقص cos θ زائد L في واحد ناقص cos φ، اللي هي العلاقة
+
+94
+00:11:03,570 --> 00:11:08,570
+العلاقة هذه، أو جدنا علاقة بين sin φ و sin θ
+
+95
+00:11:08,570 --> 00:11:12,710
+sin φ يساوي sin θ / N، وعلاقة بين، العلاقة لـ
+
+96
+00:11:12,710 --> 00:11:15,690
+cos φ، و cos φ يساوي الجذر التربيعي لـ N² ناقص
+
+97
+00:11:15,690 --> 00:11:21,110
+sin²θ / N، طيب
+
+98
+00:11:25,040 --> 00:11:32,760
+الآن cos φ، cos φ
+
+99
+00:11:32,760 --> 00:11:44,480
+بتساوي، cos φ بتساوي الجذر التربيعي لـ 1
+
+100
+00:11:44,480 --> 00:11:48,580
+ناقص sin²θ / N². هذا already
+
+101
+00:11:48,580 --> 00:11:53,680
+أثبتناها. أول اللي بدأ، أكملها بصيغة الأساس، هتكون
+
+102
+00:11:53,680 --> 00:12:09,660
+(1 - sin²θ/N²)½، إذا
+
+103
+00:12:09,660 --> 00:12:13,560
+فاكرين في الـ calculus، Taylor series expansion، إذا
+
+104
+00:12:13,560 --> 00:12:21,760
+عندي أي continuous function f(x)، ممكن أعبر عنه
+
+105
+00:12:21,760 --> 00:12:23,740
+بالـ Taylor expansion
+
+106
+00:12:32,140 --> 00:12:37,260
+f(a) + f'(a)x/1! + f''(a)/2! (x-a)²، يعني
+
+107
+00:12:37,260 --> 00:12:42,140
+هتكون الـ f(a) + f'(a)(x - a) + f''(a)/2!
+
+108
+00:12:42,140 --> 00:12:44,660
+(x - a)² + f'''(a)/3! (x-a)³
+
+109
+00:12:44,660 --> 00:12:48,800
++ ...  f'''(a)/3!
+
+110
+00:12:48,800 --> 00:12:52,520
+في (x - a)³، الـ f'، والـ f''
+
+111
+00:12:52,520 --> 00:12:55,220
+والـ f'''، هذه هي المشتقة الأولى
+
+112
+00:12:55,220 --> 00:12:58,200
+والمشتقة الثانية، والمشتقة الثالثة. هذا معناه
+
+113
+00:12:58,200 --> 00:13:04,150
+بأفترض تكونوا عارفين من الكالكولس. الآن معناته أنا
+
+114
+00:13:04,150 --> 00:13:08,490
+ممكن أعتبر الـ function عندي cos φ، cos φ
+
+115
+00:13:08,490 --> 00:13:15,830
+cos φ using Taylor expansion، هيكون بيساوي واحد
+
+116
+00:13:15,830 --> 00:13:19,510
+ناقص ½ sin²θ/N² + higher terms
+
+117
+00:13:19,510 --> 00:13:26,200
+يعني إذا بطرح، بحكي واحد ناقص cos φ، هيكون
+
+118
+00:13:26,200 --> 00:13:34,680
+يساوي، يعني واحد according to
+
+119
+00:13:34,680 --> 00:13:38,840
+Taylor expansion
+
+120
+00:13:38,840 --> 00:13:43,460
+هتكون
+
+121
+00:13:43,460 --> 00:13:57,600
+cos φ بتساوي واحد ناقص ½ sin²θ / N² زائد
+
+122
+00:13:57,600 --> 00:14:01,880
+other higher terms. الآن
+
+123
+00:14:13,520 --> 00:14:19,600
+أنا عندي هنا N⁴، بعد شو هتصير N⁶، وعندي أو
+
+124
+00:14:19,600 --> 00:14:22,520
+واحد على 3! اللي هي بتكون واحد على 6
+
+125
+00:14:22,520 --> 00:14:27,120
+يعني هيكون 1/6 N⁶، وبعدين عندي 1/24 N⁸، و1/120 N¹⁰، وكذا. الـ terms هذه الآن تقريباً
+
+126
+00:14:27,120 --> 00:14:31,040
+في الـ range الخامسة بتكون. فالآن تربيع خمسة 25
+
+127
+00:14:31,040 --> 00:14:34,360
+انتَ كأنه مئة وخمسة وعشرين، ومئة وخمسة وعشرين
+
+128
+00:14:34,360 --> 00:14:37,120
+يعني 1/125، 1/6 بتطلع
+
+129
+00:14:37,120 --> 00:14:40,000
+الـ terms هذه صغيرة جدًا بالمقارنة بالـ terms الأولى
+
+130
+00:14:40,000 --> 00:14:43,660
+أما أنا بأقرب، ممكن أحكي cos φ تقريبًا بتساوي
+
+131
+00:14:43,660 --> 00:14:49,160
+واحد ناقص sin²θ / 2N²
+
+132
+00:14:49,160 --> 00:15:01,540
+معناته واحد ناقص cos φ تقريبًا هتكون تساوي sin²θ/2N²
+
+133
+00:15:01,540 --> 00:15:13,240
+معناته، هو كأنه بحكي هنا X
+
+134
+00:15:13,240 --> 00:15:21,510
+هتساوي
+
+135
+00:15:21,510 --> 00:15:25,070
+R في واحد تقريبًا، طبعًا في واحد، واحد ناقص cos
+
+136
+00:15:25,070 --> 00:15:31,910
+θ + L (1 - cos φ)، اللي هي sin
+
+137
+00:15:31,910 --> 00:15:39,730
+²θ / 2N²
+
+138
+00:15:39,730 --> 00:15:40,250
+تربيع
+
+139
+00:15:43,670 --> 00:15:53,510
+θ / 2N². مناقشة جدًا معادلة لـ X، ليه
+
+140
+00:15:53,510 --> 00:15:58,290
+هذه المعادلة؟
+
+141
+00:15:58,290 --> 00:16:05,270
+الآن لو أخذت R على المشترك، رح
+
+142
+00:16:05,270 --> 00:16:10,550
+تصير (1 - cos θ)
+
+143
+00:16:14,320 --> 00:16:22,980
+زائد L/R اللي هي N sin²θ / 2N²
+
+144
+00:16:22,980 --> 00:16:32,160
+يعني، حيث يساوي R في (1 - cos θ)
+
+145
+00:16:32,160 --> 00:16:38,060
+زائد sin²θ / 2N
+
+146
+00:16:40,430 --> 00:16:49,930
+هذه إيش الـ X؟ معناته
+
+147
+00:16:49,930 --> 00:17:04,030
+نكتب أول معادلة، نكتب أولًا الـ
+
+148
+00:17:04,030 --> 00:17:09,550
+X بتساوي R
+
+149
+00:17:11,400 --> 00:17:17,940
+في (1 - cos θ) + sin²θ
+
+150
+00:17:17,940 --> 00:17:29,240
+/ 2N
+
+151
+00:17:29,240 --> 00:17:34,740
+/ 2
+
+152
+00:17:34,740 --> 00:17:39,280
+/2 θ
+
+153
+00:17:39,280 --> 00:17:55,350
+/2N. هذه الـ X. عشان
+
+154
+00:17:55,350 --> 00:18:03,690
+أحسب السرعة، سرعة V، سرعة الـ piston، Vp بتساوي
+
+155
+00:18:03,690 --> 00:18:11,340
+dX/dT. لو ده استخدم الـ chain rule، هتبقى dX/dθ
+
+156
+00:18:11,340 --> 00:18:18,480
+في dθ/dt، يعني
+
+157
+00:18:18,480 --> 00:18:29,620
+دلوقتي هستخدم dX/dθ، dX/dθ بتساوي R، اشتغلت
+
+158
+00:18:29,620 --> 00:18:34,360
+اللي هي (1- cosθ )،  السالب والسالب موجب، هتكون sin θ
+
+159
+00:18:37,390 --> 00:18:52,250
+زائد 2 sin θ cos θ / 2N
+
+160
+00:18:52,250 --> 00:19:01,070
+يساوي R في sin θ زائد
+
+161
+00:19:06,000 --> 00:19:09,200
+2 sin θ cos θ عبارة عن sin 2θ
+
+162
+00:19:09,200 --> 00:19:18,360
+sin 2θ / 2N. دي إيش؟ دي dX/dθ
+
+163
+00:19:18,360 --> 00:19:25,120
+معناته الـ V بتاعة الـ piston هتكون dθ/dt
+
+164
+00:19:25,120 --> 00:19:30,380
+اللي هي عبارة عن السرعة الزاوية، هذه السرعة
+
+165
+00:19:30,380 --> 00:19:42,100
+الزاوية للـ crank هتكون ω R في sin θ + sin 2θ
+
+166
+00:19:42,100 --> 00:19:55,380
+/ 2N. هذا الـ V بتاعة الـ piston. عشان
+
+167
+00:19:55,380 --> 00:20:00,880
+أحسب الـ acceleration بتاعة الـ piston، بتحكي الـ a
+
+168
+00:20:00,880 --> 00:20:08,000
+بتاعة الـ piston هتكون dVp/dt. هستخدم الـ
+
+169
+00:20:08,000 --> 00:20:17,520
+chain rule، هتكون عندي dVp/dθ في d
+
+170
+00:20:17,520 --> 00:20:22,480
+θ/dt، اللي هذا إيش؟ هتكون ω، يعني هتساوي
+
+171
+00:20:22,480 --> 00:20:30,860
+ω في dVp/dθ، لأن dθ
+
+172
+00:20:33,630 --> 00:20:41,810
+/dt بتساوي ω
+
+173
+00:20:41,810 --> 00:20:46,690
+R في
+
+174
+00:20:46,690 --> 00:20:49,870
+cos
+
+175
+00:20:49,870 --> 00:20:52,370
+θ
+
+176
+00:20:56,800 --> 00:21:00,700
+طب المناسب، أنا افترضت أن ω is constant. هذا اللي
+
+177
+00:21:00,700 --> 00:21:04,900
+اشتغلت عليه. ω is constant with θ، ω ثابتة
+
+178
+00:21:04,900 --> 00:21:09,660
+مع θ، اللي هتكون dVp/dθ
+
+179
+00:21:09,660 --> 00:21:17,680
+عشان  ωR في cos θ زائد 2
+
+180
+00:21:17,680 --> 00:21:24,600
+cos 2θ / 2N
+
+181
+00:21:29,350 --> 00:21:34,510
+يعني هتصير عندي الـ ap اللي
+
+182
+00:21:34,510 --> 00:21:39,890
+هي dVp/dθ في ω، هتصير ω²R في
+
+183
+00:21:39,890 --> 00:21:55,930
+cos θ + cos 2θ / N.  المعنى
+
+184
+00:21:55,930 --> 00:21:57,050
+هو إحنا عرفنا
+
+185
+00:22:00,050 --> 00:22:10,490
+الـ position للـ piston at any angle θ، وعرفنا طبعًا
+
+186
+00:22:10,490 --> 00:22:18,710
+هنا الـ ω is assumed to
+
+187
+00:22:18,710 --> 00:22:23,970
+be constant، يعني
+
+188
+
+223
+00:27:01,830 --> 00:27:05,470
+الجزر التربيعي يصير N تربيع بيساوي الجذر التربيعي ل
+
+224
+00:27:05,470 --> 00:27:13,730
+N تربيع ناقص sin تربيع ثيتا لأنّ عشان أحسب العجلة
+
+225
+00:27:13,730 --> 00:27:20,470
+اللي هي Alpha  للـ connecting rod  هسّه D Omega
+
+226
+00:27:20,470 --> 00:27:25,530
+للـ connecting rod by DT
+
+227
+00:27:30,240 --> 00:27:35,920
+طبعاً بشتق المعادلة هذه، شغل calculus بتطلع ال alpha
+
+228
+00:27:35,920 --> 00:27:43,060
+بتاعة الـ connecting rod بيساوي minus omega square
+
+229
+00:27:43,060 --> 00:27:57,800
+sine theta في N تربيع ناقص واحد على N تربيع minus
+
+230
+00:27:57,800 --> 00:27:59,060
+sine تربيع theta
+
+231
+00:28:02,890 --> 00:28:12,530
+أقصد ثلاثة على اثنين الآن
+
+232
+00:28:12,530 --> 00:28:20,290
+لدينا هذه المعادلة لانجر
+
+233
+00:28:20,290 --> 00:28:25,890
+باليست الـ connecting rod، لدي هذه المعادلة لانجر
+
+234
+00:28:25,890 --> 00:28:29,110
+الاكسليريشن للـ connecting rod، هذه المعادلة تعطينا
+
+235
+00:28:29,110 --> 00:28:30,390
+الحسبة بالضبط 100%
+
+236
+00:28:36,050 --> 00:28:42,570
+هو نحكي هذه المعادلة الآن، الـ square بتكون في معظم
+
+237
+00:28:42,570 --> 00:28:45,970
+الأحيان حوالي الخمسة، الـ sign زي ما أنتم عارفين
+
+238
+00:28:45,970 --> 00:28:53,590
+الـ sign تتأرجح قيمتها بين minimum وناقص واحد، يعني
+
+239
+00:28:53,590 --> 00:28:59,020
+أكبر شيء بتكون الـ sign واحد، معناته لو N تربيع كان
+
+240
+00:28:59,020 --> 00:29:02,640
+الـ N خمسة، خمسة في خمسة، خمسة وعشرون، ناقص واحد، أربعة
+
+241
+00:29:02,640 --> 00:29:07,340
+وعشرون، جذر الأربعة وعشرين مش بعيد عن جذر الخمسة
+
+242
+00:29:07,340 --> 00:29:09,260
+وعشرين، جذر الأربعة وعشرين مش بعيد عن جذر الخمسة
+
+243
+00:29:09,260 --> 00:29:15,260
+معناته ممكن أحكي أنّه، أنّه بتكون sin square هتكون
+
+244
+00:29:15,260 --> 00:29:24,190
+sin square ثيتا أقل بكثير من الـ N تربيع، يعني ما أنا
+
+245
+00:29:24,190 --> 00:29:28,070
+ممكن أحكي كـ approximation، omega تاعة الـ connecting
+
+246
+00:29:28,070 --> 00:29:37,470
+rod بتساوي تقريباً omega cosine theta على الجذر
+
+247
+00:29:37,470 --> 00:29:42,550
+التربيعي لـ N تربيع، يعني هتساوي omega cosine
+
+248
+00:29:42,550 --> 00:29:52,110
+theta على N، وبرضه
+
+249
+00:29:52,110 --> 00:29:58,140
+الـ N square الآن، سكوير هتكون أكبر بكثير من الواحد
+
+250
+00:29:58,140 --> 00:30:01,780
+يعني ممكن أحكي الالفا بتاعة الـ connecting rod
+
+251
+00:30:01,780 --> 00:30:09,820
+هتساوِي minus omega square sine theta في N تربيع
+
+252
+00:30:09,820 --> 00:30:18,080
+تقريباً في N تربيع على N
+
+253
+00:30:18,080 --> 00:30:26,520
+تربيع أس ثلاثة على اثنين، يعني هيكون ساوي تقريباً
+
+254
+00:30:26,520 --> 00:30:34,480
+minus omega square sine theta في n تربيع على n
+
+255
+00:30:34,480 --> 00:30:47,460
+تكعيب، يعني هتصفى minus omega square sine theta على
+
+256
+00:30:47,460 --> 00:30:47,960
+n
+
+257
+00:30:51,690 --> 00:30:54,670
+معناته omega pc، omega بتاعة الـ connecting rod
+
+258
+00:30:54,670 --> 00:30:59,410
+هتكون omega cosine theta على n تقريباً، و alpha
+
+259
+00:30:59,410 --> 00:31:05,010
+alpha للـ connecting rod بيصبح minus omega square
+
+260
+00:31:05,010 --> 00:31:09,250
+sine theta على n، واضح أن هذه هي يعني طريقة تحليلية
+
+261
+00:31:09,250 --> 00:31:13,550
+تقريبية، يعني إحنا طريقة تحليلية تقريبية، والهدف
+
+262
+00:31:13,550 --> 00:31:18,250
+تبسيط المعادلات بدون ما يكون نسبة خطأ، يعني بحيث
+
+263
+00:31:18,250 --> 00:31:22,760
+الخطأ، نسبة خطأ تكون قليلة جداً، معناته هذه الطريقة
+
+264
+00:31:22,760 --> 00:31:26,920
+التحليلية لحساب الـ position، velocity and
+
+265
+00:31:26,920 --> 00:31:32,620
+acceleration للـ slider، وطريقة التحليلية التقريبية
+
+266
+00:31:32,620 --> 00:31:35,600
+لحساب الـ angular velocity والـ angular
+
+267
+00:31:35,600 --> 00:31:43,060
+acceleration للـ connecting rod، خلّيني
+
+268
+00:31:43,060 --> 00:31:44,920
+معناته نكتب المعادلات هذه
+
+269
+00:31:55,090 --> 00:32:00,830
+وميغا بتاعة الـ connecting rod بتساوي
+
+270
+00:32:00,830 --> 00:32:10,330
+omega cosine theta على N تقريباً، طبعاً، والالفا بتاعة
+
+271
+00:32:10,330 --> 00:32:17,430
+الـ connecting rod بتساوي minus omega square sine
+
+272
+00:32:17,430 --> 00:32:22,110
+theta على N
+
+273
+00:32:31,700 --> 00:32:44,920
+نحِلّ مثلاً if the
+
+274
+00:32:44,920 --> 00:32:46,660
+crank and connecting rod
+
+275
+00:32:50,610 --> 00:32:53,630
+if the crank and connecting rod are three hundred
+
+276
+00:32:53,630 --> 00:32:56,670
+millimeters and one thousand millimeters long، يعني
+
+277
+00:32:56,670 --> 00:33:04,310
+المعطين، الكرانك الـ R، ثلاثمائة ميليمتر، والطول الـ
+
+278
+00:33:04,310 --> 00:33:09,270
+connecting rod المعطينيها ألف ميليمتر
+
+279
+00:33:09,270 --> 00:33:17,950
+معناته الـ N اللي هي L على R، هتكون ساوي ألف على ثلاثمائة
+
+280
+00:33:17,950 --> 00:33:27,730
+يعني عشرة على ثلاثة، طيب، and the crank rotates at a
+
+281
+00:33:27,730 --> 00:33:32,750
+constant speed of two hundred rpm، والسرعة الزاوية
+
+282
+00:33:32,750 --> 00:33:44,930
+الآن للكرانك مائتان rpm، معناته الـ omega هتكون مائتان في
+
+283
+00:33:44,930 --> 00:33:47,970
+اثنين باي على ستين
+
+284
+00:33:56,370 --> 00:34:04,970
+يعني هتكون تساوي عشرين باي على
+
+285
+00:34:04,970 --> 00:34:12,470
+ثلاثة radians per second، هذا
+
+286
+00:34:12,470 --> 00:34:19,730
+المعطيات، determine
+
+287
+00:34:19,730 --> 00:34:23,590
+the crank angle at which maximum velocity occurs
+
+288
+00:34:24,350 --> 00:34:30,230
+بدّوا الـ crank angle، يعني بدّوا الـ theta at
+
+289
+00:34:30,230 --> 00:34:35,610
+maximum velocity
+
+290
+00:34:44,720 --> 00:34:48,200
+الـ velocity is maximum بتكون لما الـ acceleration
+
+291
+00:34:48,200 --> 00:34:52,740
+بتساوي zero، يعني الـ velocity بتكون maximum أو لما
+
+292
+00:34:52,740 --> 00:34:55,300
+تكون velocity maximum أو minimum بتكون الـ
+
+293
+00:34:55,300 --> 00:34:59,820
+acceleration بتساوي zero، يعني الـ velocity of
+
+294
+00:34:59,820 --> 00:35:03,980
+piston is
+
+295
+00:35:03,980 --> 00:35:13,340
+maximum when acceleration للـ piston بتساوي zero
+
+296
+00:35:14,890 --> 00:35:20,190
+يعني إحنا هنكون عندي الـ zero بتساوي
+
+297
+00:35:20,190 --> 00:35:30,530
+omega square r في cosine theta زائد cosine two
+
+298
+00:35:30,530 --> 00:35:36,310
+theta على n، طبعاً،  حاسبين عندي
+
+299
+00:35:42,450 --> 00:35:44,950
+هتروح omega square، omega square، omega square
+
+300
+00:35:44,950 --> 00:35:52,370
+الـ omega square، omega square، omega square، omega
+
+301
+00:35:52,370 --> 00:35:56,990
+square، omega square، omega square، omega square
+
+302
+00:35:56,990 --> 00:35:57,810
+الـ omega square، omega square، omega square، omega
+
+303
+00:35:57,810 --> 00:35:57,870
+square، omega square، omega square، omega square
+
+304
+00:35:57,870 --> 00:35:59,350
+الـ omega square، omega square، omega square، omega
+
+305
+00:35:59,350 --> 00:36:03,890
+square، omega square
+
+306
+00:36:03,890 --> 00:36:07,330
+الـ omega square، omega square، omega square، omega
+
+307
+00:36:07,330 --> 00:36:13,810
+square، omega square، omega square، زائد ثلاثة من عشرة cosine
+
+308
+00:36:13,810 --> 00:36:27,050
+two theta بيساوي zero، طبعاً
+
+309
+00:36:27,050 --> 00:36:33,070
+هذه المعادلة عادية، non، non
+
+310
+00:36:33,070 --> 00:36:35,090
+linear
+
+311
+00:36:37,510 --> 00:36:46,910
+equation، هذه معادلة غير خطية، غير خطية، يعني
+
+312
+00:36:46,910 --> 00:36:52,030
+solve for
+
+313
+00:36:52,030 --> 00:37:03,450
+theta using numerical techniques
+
+314
+00:37:09,730 --> 00:37:12,410
+عند نيوتن رافسون، عند الـ interpolation، عند الـ by
+
+315
+00:37:12,410 --> 00:37:16,390
+section، في كذا طريقة، ممكن تستخدم الـ math lab أو الـ
+
+316
+00:37:16,390 --> 00:37:25,690
+mathematica أو أيّ software، or you may solve
+
+317
+00:37:25,690 --> 00:37:30,210
+by trial and error
+
+318
+00:37:35,600 --> 00:37:40,640
+يعني you assume θ وشوف لحد ما يصير الطرف على
+
+319
+00:37:40,640 --> 00:37:45,160
+الشمال يساوي zero، ده تحسب وتحسب، لأنّ once you
+
+320
+00:37:45,160 --> 00:37:53,040
+solve for θ بتحسب V، بتعود V بتساوي V maximum
+
+321
+00:37:53,040 --> 00:37:59,440
+بتساوي اللي هي omega R V sin θ
+
+322
+00:38:02,340 --> 00:38:11,980
+زائد sin two theta على n، من نتيجة المعادلة هذه
+
+323
+00:38:11,980 --> 00:38:16,040
+بحسب theta بعوّض theta هنا، والـ omega معروفة عندي، و
+
+324
+00:38:16,040 --> 00:38:19,520
+الـ R معروفة، والـ N معروفة، بحسب الـ maximum speed
+
+325
+00:38:19,520 --> 00:38:24,800
+اللي بتكون عندها الـ acceleration zero، يعني أتوقع
+
+326
+00:38:24,800 --> 00:38:27,900
+أنكم حلّيتوا المعادلة هذه، بعدين اعوضوا في المعادلة
+
+327
+00:38:27,900 --> 00:38:29,520
+هذه عشان تجدوا maximum speed
+
+328
+00:38:34,240 --> 00:38:46,540
+نشوف مثال ثاني، The crank
+
+329
+00:38:46,540 --> 00:38:49,800
+and correcting rod of a steam engine، الـ crank والـ
+
+330
+00:38:49,800 --> 00:38:55,500
+connecting rod لمحرك بخاري are point three meters
+
+331
+00:38:55,500 --> 00:38:58,020
+and one point five meters in length، معطيني الـ
+
+332
+00:38:58,020 --> 00:39:04,660
+crank R لمحرك بخاري، ثلاثة من عشرة متر، والطول الـ
+
+333
+00:39:04,660 --> 00:39:09,100
+connecting rod واحد ونصف متر، معناته الـ N هتساوي
+
+334
+00:39:09,100 --> 00:39:14,660
+واحد ونصف على ثلاثة من عشرة، يعني هيكون تساوي خمسة
+
+335
+00:39:14,660 --> 00:39:20,860
+الـ N، الـ crank rotates at one hundred eighty rpm
+
+336
+00:39:20,860 --> 00:39:28,220
+clockwise، بالدّور، N مئة وثمانين revolution per
+
+337
+00:39:28,220 --> 00:39:32,890
+minute، معناته الـ omega هتكون مئة وثمانين في
+
+338
+00:39:32,890 --> 00:39:40,570
+اثنين باي على ستين، تساوي ستة باي radians per second
+
+339
+00:39:42,260 --> 00:39:45,100
+Determine velocity and acceleration of piston when
+
+340
+00:39:45,100 --> 00:39:47,820
+the crank is at 4 degrees from inner dead center
+
+341
+00:39:47,820 --> 00:39:53,160
+يعني ثيتا
+
+342
+00:39:53,160 --> 00:39:59,160
+بساوي أربعين درجة، احسب الـ velocity، الـ velocity ده
+
+343
+00:39:59,160 --> 00:40:04,800
+هي عندي الـ V بتاعة الـ piston بساوي Omega R، Omega R
+
+344
+00:40:04,800 --> 00:40:09,020
+اللي إحنا حسبنا هو Omega اللي هي ستة باي في الـ R
+
+345
+00:40:09,020 --> 00:40:19,250
+اللي هي ثلاثة من عشرة في sign الأربعين، زائد
+
+346
+00:40:19,250 --> 00:40:26,830
+sign الثمانين، إلى two theta على خمسة، ومنها بحسب الـ
+
+347
+00:40:26,830 --> 00:40:32,880
+VB، والـ acceleration AB، اللي من المعادلة هي دي omega
+
+348
+00:40:32,880 --> 00:40:36,100
+square r في cosine theta زائد cosine two theta على n، لأنّ
+
+349
+00:40:36,100 --> 00:40:44,460
+عندكوا، عندي ستة باي تربيع في ثلاثة من عشرة في cosine
+
+350
+00:40:44,460 --> 00:40:56,180
+الأربعين زائد cosine الثمانين على خمسة، ومنها بحسب الـ
+
+351
+00:40:56,180 --> 00:40:57,360
+acceleration للـ piston
+
+352
+00:41:04,100 --> 00:41:07,520
+المطلوب الثاني، position of the crank for zero
+
+353
+00:41:07,520 --> 00:41:12,120
+acceleration of the piston، بدّه position of the
+
+354
+00:41:12,120 --> 00:41:17,400
+crank for zero، يعني بدّه الـ X for zero acceleration
+
+355
+00:41:17,400 --> 00:41:23,840
+لما أنت حسبت AB، لما الـ AB تكون ساوي Zero، هيكون
+
+356
+00:41:23,840 --> 00:41:36,540
+ساوي عند omega square R في cos θ زائد cos 2θ على
+
+357
+00:41:36,540 --> 00:41:48,320
+خمسة، يعني هصير عندي cos θ زائد اثنين من عشرة cos 2θ
+
+358
+00:41:48,320 --> 00:41:54,420
+بساوي زيرو، معناته to solve أول شيء for theta
+
+359
+00:41:59,060 --> 00:42:06,920
+بعد ما تحلّ for theta، عوّض substitute in
+
+360
+00:42:06,920 --> 00:42:20,310
+equation for X، الـ X هتكون تساوي اللي هي R في واحد
+
+361
+00:42:20,310 --> 00:42:29,870
+ناقص cosine theta زائد sine square theta على
+
+362
+00:42:29,870 --> 00:42:30,610
+اثنين N
+
+363
+00:42:37,080 --> 00:42:40,280
+الـ R اللي هي ثلاثة من عشرة، والـ θيتا اللي حسبناها
+
+364
+00:42:40,280 --> 00:42:43,540
+من المعادلة هذه، والآن، حسبنا، position
+
+365
+00:42:43,540 --> 00:42:49,760
+of the crank position، الـ θيتا تمثل position of the
+
+366
+00:42:49,760 --> 00:42:53,960
+crank، الـ X تمثل position of the piston، يعني الـ
+
+367
+00:42:53,960 --> 00:42:57,840
+θيتا position of the crank، والـ X position of the
+
+368
+00:42:57,840 --> 00:42:58,140
+piston
+
+369
+00:43:06,010 --> 00:43:07,370
+نشوف كمان مثال
+
+370
+00:43:22,650 --> 00:43:25,430
+if a slider crank mechanism in a slider crank
+
+371
+00:43:25,430 --> 00:43:27,590
+mechanism، the length of the crank in a slider
+
+372
+00:43:27,590 --> 00:43:29,790
+crank mechanism، the length of the crank and
+
+373
+00:43:29,790 --> 00:43:32,710
+correcting rod are one hundred fifty and six
+
+374
+00:43:32,710 --> 00:43:34,850
+hundred millimeters respectively، معطي يعني في
+
+375
+00:43:34,850 --> 00:43:40,450
+slider crank، الـ R بتاعة الكرانك مئة وخمسين ميلي
+
+376
+00:43:40,450 --> 00:43:46,870
+متر، والـ L ستمائة ميليمتر، معناته الـ N هتكون
+
+377
+00:43:46,870 --> 00:43:53,190
+ساوي L على R، بساوي ستمائة على مئة وخمسين، تطلع
+
+378
+00:43:53,190 --> 00:43:57,150
+أربعة، the
+
+379
+00:43:57,150 --> 00:43:59,850
+crank position is six degrees from the inner dead
+
+380
+00:43:59,850 --> 00:44:08,010
+center، معطينا الـ theta بساوي ستين درجة، the crank
+
+381
+00:44:08,010 --> 00:44:16,350
+shaft speed الآن اللي هي أربعمائة وخمسين rpm
+
+382
+00:44:16,350 --> 00:44:18,150
+clockwise
+
+383
+00:44:20,390 --> 00:44:26,610
+يعني الـ omega هتكون أربعمائة وخمسين في اثنين باي على
+
+384
+00:44:26,610 --> 00:44:33,150
+ستين، يعني أربع وسبعون وتلاتة في
+
+385
+00:44:33,150 --> 00:44:41,630
+ايش؟  خمسة عشر، يعني هتكون ساوي خمسة عشر، هتساوِي خمسة عشر
+
+386
+00:44:41,630 --> 00:44:48,330
+باي radians per second
+
+387
+00:44:52,120 --> 00:44:54,460
+using analytical method to determine the velocity
+
+388
+00:44:54,460 --> 00:45:00,540
+and acceleration of the piston، الـ V
+
+389
+00:45:00,540 --> 00:45:08,300
+بتاعة الـ piston هتكون Omega R في Sine Theta زائد
+
+390
+00:45:08,300 --> 00:45:14,360
+Sine Two Theta على N، يعني الـ Omega عندي هي خمسة عشر
+
+391
+00:45:14,360 --> 00:45:19,600
+باي في الـ R اللي هي point واحد خمسة في Sine ستين
+
+392
+00:45:20,500 --> 00:45:26,560
+زائد Sine المئة وعشرين على أربعة، ومنها بحسب الـ
+
+393
+00:45:26,560 --> 00:45:30,540
+velocity للبستون، الـ acceleration للبستون هتكون
+
+394
+00:45:30,540 --> 00:45:38,580
+omega square r في cosine theta زائد cosine two
+
+395
+00:45:38,580 --> 00:45:44,500
+theta على n، يعني هتكون omega اللي هي خمسة عشر باي
+
+396
+00:45:44,500 --> 00:45:50,880
+تربيع في الـ R اللي هي point واحد خمسة في cosine
+
+397
+00:45:50,880 --> 00:46:07,140
+الستين زائد cosine المئة وعشرين على أربعة، طيب
+
+398
+00:46:07,140 --> 00:46:10,950
+هذا المطلوب، أو المطلوب الثاني، Angular velocity and
+
+399
+00:46:10,950 --> 00:46:14,190
+angular acceleration of the connecting rod، السرعة
+
+400
+00:46:14,190 --> 00:46:18,390
+الزاوية للـ، الزاوية للـ connecting rod، الـ
+
+401
+00:46:18,390 --> 00:46:19,710
+angular velocity للـ connecting rod أو الـ
+
+402
+00:46:19,710 --> 00:46:23,030
+connecting rod، omega للـ connecting rod اللي هي
+
+403
+00:46:23,030 --> 00:46:30,120
+omega cosine ثيتا على n، يعني هتكون عندي omega اللي
+
+404
+00:46:30,120 --> 00:46:36,640
+هي خمسة عشر باي في cosine الستين على n اللي هي أربعة
+
+405
+00:46:36,640 --> 00:46:40,2
\ No newline at end of file
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vONhwXNiXVE_postprocess.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vONhwXNiXVE_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2428184452ca4a57f6bcd7d29ce2288189ac8a31
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vONhwXNiXVE_postprocess.srt
@@ -0,0 +1,1640 @@
+1
+00:00:04,910 --> 00:00:07,970
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,970 --> 00:00:13,750
+وبركاته لان هنستقنف المحاضرات في مادة نظرية الآلات
+
+3
+00:00:13,750 --> 00:00:17,330
+اللي هو هنتقل على شبتر جديد اللي هي حسابات ال
+
+4
+00:00:17,330 --> 00:00:22,330
+inertia forces in reciprocating partsو هنركز على
+
+5
+00:00:22,330 --> 00:00:25,830
+ال respocating هنركز على ال slotted crank
+
+6
+00:00:25,830 --> 00:00:31,190
+mechanism لأنه هي الميكانيزم المستخدمة في المحركات
+
+7
+00:00:31,190 --> 00:00:35,850
+وبالتالي تستحق أن نبذل فيها جهد و تفصيل في
+
+8
+00:00:35,850 --> 00:00:41,870
+حساباتها الآن هنشوف ال analytical method لحسابات
+
+9
+00:00:41,870 --> 00:00:46,610
+ال position و displacement و ال acceleration لأن
+
+10
+00:00:46,610 --> 00:00:49,170
+عندي هنا slotted crank mechanism هاي ال crank
+
+11
+00:00:53,580 --> 00:01:01,160
+هذا الـ crank هذا نقطة A هذا
+
+12
+00:01:01,160 --> 00:01:12,520
+الـ C وعندى ال piston هذا ال connecting rod عندى
+
+13
+00:01:12,520 --> 00:01:13,180
+هنا ال piston
+
+14
+00:01:25,420 --> 00:01:32,140
+الان ال crank بتلف باتجاه عقارب الساعة يعني ال
+
+15
+00:01:32,140 --> 00:01:38,440
+rotation بتجاه عقارب الساعة في لحظة معينة ال crank
+
+16
+00:01:38,440 --> 00:01:44,580
+كانت عاملة زاوية theta مع
+
+17
+00:01:44,580 --> 00:01:49,580
+الأفق و ال
+
+18
+00:01:49,580 --> 00:01:54,600
+connecting rod عامل زاوية five
+
+19
+00:01:57,890 --> 00:02:03,050
+الان في خلينا نتعرف على نقطتين أساسية لما يكون OC
+
+20
+00:02:03,050 --> 00:02:10,650
+في ال position هذا يعني عند C' هذا C' يكون على
+
+21
+00:02:10,650 --> 00:02:20,570
+امتداد connecting road يعني عند P' هذا P' بسميها
+
+22
+00:02:20,570 --> 00:02:23,790
+top dead center
+
+23
+00:02:25,820 --> 00:02:32,760
+او في كتب يسموها ال inner dead center لما تكون
+
+24
+00:02:32,760 --> 00:02:42,400
+نقطة C عن نقطة C prime C double prime ال piston
+
+25
+00:02:42,400 --> 00:02:49,660
+هيكون هناعند النقطة C W' بنسميه الـ Bottom Dead
+
+26
+00:02:49,660 --> 00:02:53,060
+Center
+
+27
+00:02:53,060 --> 00:02:57,040
+أو في كتب يسمونه الـ Outer Dead Center أنا بفضل
+
+28
+00:02:57,040 --> 00:03:00,720
+أسميه Top Dead Center و Bottom Dead Center
+
+29
+00:03:09,340 --> 00:03:17,060
+يعني هاد ال bottom dead center والمسافة بين ال top
+
+30
+00:03:17,060 --> 00:03:19,720
+dead center و ال bottom dead center بتمثل ال short
+
+31
+00:03:19,720 --> 00:03:24,240
+ال stroke يعني ال stroke هي ال distance ال stroke
+
+32
+00:03:24,240 --> 00:03:28,520
+ال
+
+33
+00:03:28,520 --> 00:03:32,440
+distance between
+
+34
+00:03:32,440 --> 00:03:36,200
+ال
+
+35
+00:03:36,200 --> 00:03:37,040
+top dead center
+
+36
+00:03:40,770 --> 00:03:49,430
+and bottom dead center at
+
+37
+00:03:49,430 --> 00:03:54,090
+any position at any angle position ال crank makes
+
+38
+00:03:54,090 --> 00:03:59,590
+an angle theta مع ال horizontal و ال connecting
+
+39
+00:03:59,590 --> 00:04:05,320
+rod بيعمل زاوية five مع ال horizontalهيكون ال
+
+40
+00:04:05,320 --> 00:04:07,720
+reference بتاعي اللي هو ال top dead center ال
+
+41
+00:04:07,720 --> 00:04:15,960
+reference هو top dead center لأن
+
+42
+00:04:15,960 --> 00:04:22,140
+هذه المسافة from ال top dead center to any
+
+43
+00:04:22,140 --> 00:04:27,880
+position هسميها X المسافة
+
+44
+00:04:27,880 --> 00:04:32,880
+هذه كلها من هنا ل هنا
+
+45
+00:04:36,930 --> 00:04:43,950
+عبارة عن اللي
+
+46
+00:04:43,950 --> 00:04:50,310
+هي نص ال crank radius R زائد طول ال connecting rod
+
+47
+00:04:50,310 --> 00:04:57,650
+R زائد L R هي ال crank radius و L طول ال
+
+48
+00:04:57,650 --> 00:05:03,890
+connecting rod هسمي
+
+49
+00:05:03,890 --> 00:05:04,590
+نقطة هذه Q
+
+50
+00:05:09,540 --> 00:05:17,440
+هذه اللي هي PQ المسافة
+
+51
+00:05:17,440 --> 00:05:20,940
+PQ
+
+52
+00:05:20,940 --> 00:05:28,460
+عبارة
+
+53
+00:05:28,460 --> 00:05:31,920
+عن ال PC cosine file هذا PC طول L
+
+54
+00:05:35,100 --> 00:05:46,500
+cos φ والمسافة هذه من هنا لهنا اللي هتكون R cos θ
+
+55
+00:05:46,500 --> 00:05:53,460
+يعني ال X هيكون ال
+
+56
+00:05:53,460 --> 00:06:00,800
+X هيكون OP ناقص
+
+57
+00:06:00,800 --> 00:06:01,940
+OP
+
+58
+00:06:06,140 --> 00:06:14,640
+الـ OP' اللي هتحكي عنه عبارة عن R زاد L R زاد L R
+
+59
+00:06:14,640 --> 00:06:18,600
+ال crank radius و L ال length of connecting minus
+
+60
+00:06:18,600 --> 00:06:32,780
+ال OB عبارة عن OQ زاد QP OQ زاد QP يعني هتساوي R
+
+61
+00:06:32,780 --> 00:06:44,900
+زاد ال minusالـ OQ اللي هي R Cos θ والـ
+
+62
+00:06:44,900 --> 00:06:53,720
+QP الـ Cos ف يعني
+
+63
+00:06:53,720 --> 00:06:59,990
+هتصير .. هتاخد R على المشترك هتصير Rفي واحد minus
+
+64
+00:06:59,990 --> 00:07:11,290
+cosine theta زائد ال في واحد minus cosine فيه هذه
+
+65
+00:07:11,290 --> 00:07:15,510
+ال X طيب
+
+66
+00:07:15,510 --> 00:07:23,150
+الان هل في علاقة بين فا و ثيتا الان لو أخدت المثلث
+
+67
+00:07:23,150 --> 00:07:33,290
+المثلث PQC المثلث PQC
+
+68
+00:07:33,290 --> 00:07:41,810
+اتضلع CQ بساوي
+
+69
+00:07:41,810 --> 00:07:50,910
+L Sin Phi برضه اذا أخدت المثلث OQC
+
+70
+00:07:50,910 --> 00:07:55,230
+OQC
+
+71
+00:07:55,230 --> 00:08:05,170
+هتكون عند ال CQبالسواء R Sine Theta معناته هشيل
+
+72
+00:08:05,170 --> 00:08:15,470
+عندهين L Sine Fi بسواء R Sine Theta يعني Sine Fi
+
+73
+00:08:15,470 --> 00:08:26,220
+هتكون تساوي R على L Sine Thetaخلّيني اعرف let's
+
+74
+00:08:26,220 --> 00:08:31,960
+define خلّيني اعرف ال ratio ال connecting rod على
+
+75
+00:08:31,960 --> 00:08:37,300
+طول ال crank اللي هي L على R معناته بتصير عندهين
+
+76
+00:08:37,300 --> 00:08:47,060
+sin phi بتساوي sin theta على N
+
+77
+00:08:52,520 --> 00:09:00,740
+طب خلّيني اذا انا عارف sign في هي عندي sign و حكيت
+
+78
+00:09:00,740 --> 00:09:10,220
+هذه في حكيت sign في بتساوي هذا الضلع عبارة عن sign
+
+79
+00:09:10,220 --> 00:09:16,580
+theta و هذا n معناته هذا الضلع ايش هيكون؟ هيكون
+
+80
+00:09:16,580 --> 00:09:17,640
+الجزر التربيعي
+
+81
+00:09:20,160 --> 00:09:28,020
+لان تربيع ناقص sin تربيع ثتا معناته cosine في
+
+82
+00:09:28,020 --> 00:09:32,220
+بتساوي
+
+83
+00:09:32,220 --> 00:09:41,620
+جزر التربيع لان تربيع minus sin تربيع ثتا على ان
+
+84
+00:09:41,620 --> 00:09:45,120
+نعود
+
+85
+00:09:45,120 --> 00:09:47,580
+لمعادلة معناته x بالساوية
+
+86
+00:09:51,330 --> 00:10:02,850
+R في واحد minus cosine theta زاد L في
+
+87
+00:10:02,850 --> 00:10:12,110
+واحد minus cosine في الجزر التربيعي لواحد
+
+88
+00:10:12,110 --> 00:10:17,450
+minus sine تربيعي theta على N تربيعي
+
+89
+00:10:25,880 --> 00:10:38,380
+مانعة وجدنا علاقة ل X طيب
+
+90
+00:10:38,380 --> 00:10:44,400
+الان
+
+91
+00:10:44,400 --> 00:10:53,420
+احنا
+
+92
+00:10:53,420 --> 00:10:59,650
+so far اوجدنا علاقة هذهحكينا ان X يستوي R في واحد
+
+93
+00:10:59,650 --> 00:11:03,570
+ناقص Cos θ زن في واحد ناقص Cos فاي اللي هي العلاقة
+
+94
+00:11:03,570 --> 00:11:08,570
+العلاقة هذه او جدنا علاقة بين Sin فاي و Sin ثتا
+
+95
+00:11:08,570 --> 00:11:12,710
+Sin فاي يستوي Sin ثتا على N و علاقة بين لعلاقة ل
+
+96
+00:11:12,710 --> 00:11:15,690
+Cos فاي و Cos فاي يستوي جزر تربيع ل N تربيع و ناقص
+
+97
+00:11:15,690 --> 00:11:21,110
+Sin تربيع ثتا على N طيب
+
+98
+00:11:25,040 --> 00:11:32,760
+الان cosine فاى cosine فاى
+
+99
+00:11:32,760 --> 00:11:44,480
+بتساوي cosine فاى بتساوي الجزر التربيعى لأ واحد
+
+100
+00:11:44,480 --> 00:11:48,580
+ناقص sin تربيع theta على n تربيع هذا already
+
+101
+00:11:48,580 --> 00:11:53,680
+أثبتناهاأول اللي بدأ اكملها بصيغة الأساس هتكون
+
+102
+00:11:53,680 --> 00:12:09,660
+واحد minus sin تربيع ثتا على N تربيع أس نص إذا
+
+103
+00:12:09,660 --> 00:12:13,560
+فاكرين في ال calculus Taylor series expansion إذا
+
+104
+00:12:13,560 --> 00:12:21,760
+عندي any continuous function f of xممكن اعبر عنه
+
+105
+00:12:21,760 --> 00:12:23,740
+بالـ Taylor expansion
+
+106
+00:12:32,140 --> 00:12:37,260
+fn a x على n factorial في x minus a أُس n يعني
+
+107
+00:12:37,260 --> 00:12:42,140
+هتكون ال f at a زد f prime at a في x minus a زد f
+
+108
+00:12:42,140 --> 00:12:44,660
+double prime of a على اتنين factorial في x minus a
+
+109
+00:12:44,660 --> 00:12:48,800
+لكل تربيع زد f double prime a على تلتة factorial
+
+110
+00:12:48,800 --> 00:12:52,520
+في x ناقص a لكل تكيب ال f prime و ال f double
+
+111
+00:12:52,520 --> 00:12:55,220
+prime و ال f triple prime هذه هي شئ المشتقة الأولى
+
+112
+00:12:55,220 --> 00:12:58,200
+و المشتقة التانية و المشتقة التالتة هذا معناه
+
+113
+00:12:58,200 --> 00:13:04,150
+بفترض تكونوا عارفين منالكالكولوس الان معناته انا
+
+114
+00:13:04,150 --> 00:13:08,490
+ممكن اعتبر ال function عندي cosine phi cosine phi
+
+115
+00:13:08,490 --> 00:13:15,830
+cosine phi using Taylor expansion هيكون بساوي واحد
+
+116
+00:13:15,830 --> 00:13:19,510
+ناقص نص سين تربيع ثتا لإن تربيع زاد higher terms
+
+117
+00:13:19,510 --> 00:13:26,200
+يعني اذا باطرح بحكي واحد ناقص cosine phiهيكون
+
+118
+00:13:26,200 --> 00:13:34,680
+يساوي يعني واحد according to
+
+119
+00:13:34,680 --> 00:13:38,840
+taylor expansion
+
+120
+00:13:38,840 --> 00:13:43,460
+هتكون
+
+121
+00:13:43,460 --> 00:13:57,600
+cos phi بتساوي واحد ناقص نص في sin تربيعtheta على
+
+122
+00:13:57,600 --> 00:14:01,880
+n تربيع زائد
+
+123
+00:14:01,880 --> 00:14:13,520
+other other higher terms الان
+
+124
+00:14:13,520 --> 00:14:19,600
+انا عندي هنا n تربيع بعد شو هتصير n اربعةو عندي او
+
+125
+00:14:19,600 --> 00:14:22,520
+احد ع تلاتة factorial اللي هي بتكون واحد ع ستة
+
+126
+00:14:22,520 --> 00:14:27,120
+يعني هيكون hectares و بعدين عندي أنقص ستة و أنقص
+
+127
+00:14:27,120 --> 00:14:31,040
+تمانية و أنقص عشر و كذا ال terms هذي الأن تقريبا
+
+128
+00:14:31,040 --> 00:14:34,360
+في ال range الخامسة بتكون فالأن تربع خمسة و عشرين
+
+129
+00:14:34,360 --> 00:14:37,120
+أنت كايف مية و خمسة و عشرين و مية و خمسة و عشرين
+
+130
+00:14:37,120 --> 00:14:40,000
+يعني واحد ع مية و خمسة و عشرين في واحد ع ستة بتطلع
+
+131
+00:14:40,000 --> 00:14:43,660
+ال terms هذي صغيرة جدا بالمقارنة بال terms الأولي
+
+132
+00:14:43,660 --> 00:14:49,160
+اما انا اتباحي ممكن احكي cosine fiveتقريبا بتسوى
+
+133
+00:14:49,160 --> 00:15:01,540
+واحد ماينوس صين ثيتا على N تربيع صين تربيع معناته
+
+134
+00:15:01,540 --> 00:15:13,240
+واحد ماكس كصين في تقريبا هتكون ساوى صين تربيع ثيتا
+
+135
+00:15:13,240 --> 00:15:21,510
+على N تربيععلى ان تربية معناته هو كناجي احكي هنا X
+
+136
+00:15:21,510 --> 00:15:25,070
+هتساوي
+
+137
+00:15:25,070 --> 00:15:31,910
+R في واحد تقريبا طبعا في واحد واحد ناقص cosine
+
+138
+00:15:31,910 --> 00:15:39,730
+ثيتا ZL واحد ناقص cosine الفاي اللي هي في sin
+
+139
+00:15:39,730 --> 00:15:40,250
+تربية
+
+140
+00:15:43,670 --> 00:15:53,510
+theta على n تربيع مناقشة جدًا معادلة لل X ليه
+
+141
+00:15:53,510 --> 00:15:58,290
+هذه المعادلة؟
+
+142
+00:15:58,290 --> 00:16:05,270
+الان لو أخدت R ع المشترك رح
+
+143
+00:16:05,270 --> 00:16:10,550
+تصير واحد minus cosine theta
+
+144
+00:16:14,320 --> 00:16:22,980
+زائد L على R اللي هي N Sine Square ثيتا على N
+
+145
+00:16:22,980 --> 00:16:32,160
+تربيع يعني حيث ساوي R في واحد minus cosine theta
+
+146
+00:16:32,160 --> 00:16:38,060
+زائد Sine Square ثيتا على N
+
+147
+00:16:40,430 --> 00:16:49,930
+ها دي إيش ال X معناته
+
+148
+00:16:49,930 --> 00:17:04,030
+نكتب أول معادلة نكتب الأول ال
+
+149
+00:17:04,030 --> 00:17:09,550
+X بتساوي R
+
+150
+00:17:11,400 --> 00:17:17,940
+في واحد minus cosine theta زائد sine square theta
+
+151
+00:17:17,940 --> 00:17:29,240
+على اتنين على اتنين n على
+
+152
+00:17:29,240 --> 00:17:34,740
+اتنين على
+
+153
+00:17:34,740 --> 00:17:39,280
+اتنين theta
+
+154
+00:17:39,280 --> 00:17:55,350
+على اتنين nهذه ال X عشان
+
+155
+00:17:55,350 --> 00:18:03,690
+احسب السرعة سرعة V سرعة ال Piston V Piston بستوى
+
+156
+00:18:03,690 --> 00:18:11,340
+DX by DT لو ده استخدم ال channel والبستوى DXby d θ
+
+157
+00:18:11,340 --> 00:18:18,480
+في d θ by dt يعني
+
+158
+00:18:18,480 --> 00:18:29,620
+دلوقتي هستفت DX by d θ DX by d θ بتساوي R اشتغلت
+
+159
+00:18:29,620 --> 00:18:34,360
+اللي واحد على السفر minus minus plus هتكون sin θ
+
+160
+00:18:37,390 --> 00:18:52,250
+زائد اتنين sin theta cos theta على اتنين ان حساوى
+
+161
+00:18:52,250 --> 00:19:01,070
+R في sin theta زائد
+
+162
+00:19:06,000 --> 00:19:09,200
+تنين ساين ثيتا كوساين ثيتا عبارة عن ساين توا ثيتا
+
+163
+00:19:09,200 --> 00:19:18,360
+ساين توا ثيتا على اتنين ان دي ايش دي اكس واي دي
+
+164
+00:19:18,360 --> 00:19:25,120
+ثيتا معناته ال V بتاعة ال piston هتكون دي ثيتا بوا
+
+165
+00:19:25,120 --> 00:19:30,380
+دي تي اللي هي عبارة عن السرعة الزاوية هذه السرعة
+
+166
+00:19:30,380 --> 00:19:42,100
+الزاوية للكرانك هتكون Omega Rفي sin θ زائد sin 2θ
+
+167
+00:19:42,100 --> 00:19:55,380
+على 2n هذا ال V بتاعة ال piston عشان
+
+168
+00:19:55,380 --> 00:20:00,880
+احسب ال acceleration بتاعة ال piston بتحكي ال a
+
+169
+00:20:00,880 --> 00:20:08,000
+بتاعة ال pistonهتكون dv للبسطون by dt بستخدم ال
+
+170
+00:20:08,000 --> 00:20:17,520
+chain rule هتكون عنده dv للبسطون by d theta في d
+
+171
+00:20:17,520 --> 00:20:22,480
+theta by dt اللي هاد ايش تكون omega يعني هتستوى
+
+172
+00:20:22,480 --> 00:20:30,860
+omega في dvp by d theta لان dvp
+
+173
+00:20:33,630 --> 00:20:41,810
+body theta بتساوي omega
+
+174
+00:20:41,810 --> 00:20:46,690
+R في
+
+175
+00:20:46,690 --> 00:20:49,870
+cosine
+
+176
+00:20:49,870 --> 00:20:52,370
+theta
+
+177
+00:20:56,800 --> 00:21:00,700
+طب المناسبة انا فرضت ان omega is constant هذا اللي
+
+178
+00:21:00,700 --> 00:21:04,900
+اشتغلها omega is constant with theta omega سواق
+
+179
+00:21:04,900 --> 00:21:09,660
+constant with theta اللي هتكون dvb بقى d theta
+
+180
+00:21:09,660 --> 00:21:17,680
+عشان omega r في cosine theta زاد اتنين اتنين في
+
+181
+00:21:17,680 --> 00:21:24,600
+cosine two theta cosine two theta على اتنين n
+
+182
+00:21:29,350 --> 00:21:34,510
+يعني هتصير عندي ال a b اللي
+
+183
+00:21:34,510 --> 00:21:39,890
+هي dv بيقع d θ في omega هصير omega square r في
+
+184
+00:21:39,890 --> 00:21:55,930
+cosine theta زائد cosine two theta على n المعنى
+
+185
+00:21:55,930 --> 00:21:57,050
+هو احنا عرفنا
+
+186
+00:22:00,050 --> 00:22:10,490
+الـ position للـ piston at any angle θ وعرفنا طبعا
+
+187
+00:22:10,490 --> 00:22:18,710
+هنا الـ Omega is assumed to
+
+188
+00:22:18,710 --> 00:22:23,970
+be constant يعني
+
+189
+00:22:23,970 --> 00:22:26,810
+عند الـ θ في الحالة اللي مش بالساوية Omega في T
+
+190
+00:22:26,810 --> 00:22:28,790
+الـ T هو الزمن
+
+191
+00:22:33,190 --> 00:22:37,690
+و V Omega R Sine Theta زي Sine 2 Theta على 2N و
+
+192
+00:22:37,690 --> 00:22:39,990
+Acceleration للبسطون Omega Square R في Cos Theta
+
+193
+00:22:39,990 --> 00:22:46,890
+زي Cos 2 Theta على N لأن
+
+194
+00:22:46,890 --> 00:22:52,050
+عشان أوجد سرعة الزاوية عشان أوجد سرعة الزاوية
+
+195
+00:22:52,050 --> 00:23:00,150
+للبسطون لل connecting rod خليني أمسح حاليا هذه
+
+196
+00:23:04,310 --> 00:23:14,950
+عند احكي ال V P باسم Omega R في Sine Theta زائد
+
+197
+00:23:14,950 --> 00:23:22,630
+Sine Two Theta على N و ال A P اللي ردش تقنع Omega
+
+198
+00:23:22,630 --> 00:23:35,340
+Square R في Cosine Theta زائد Cosine Two Thetaعلى
+
+199
+00:23:35,340 --> 00:23:41,420
+n نمسح
+
+200
+00:23:41,420 --> 00:23:47,520
+الان
+
+201
+00:23:47,520 --> 00:23:53,160
+بدي اجيب ال angular velocity لل connecting rod وال
+
+202
+00:23:53,160 --> 00:23:55,360
+angular acceleration لل connecting rod اول شي احنا
+
+203
+00:23:55,360 --> 00:24:03,860
+حاكينا sin phi سابقا بالساوي sin theta على n
+
+204
+00:24:13,980 --> 00:24:20,200
+لو اشتقت الطرفين بالنسبة للزمن هصير هادي اشتقة ك
+
+205
+00:24:20,200 --> 00:24:33,280
+cosine في في d phi by dt بتساوي cosine theta على n
+
+206
+00:24:33,280 --> 00:24:43,520
+في d theta by dt لأن d phi by dt هي عبارة عنالـ
+
+207
+00:24:43,520 --> 00:24:50,960
+Omega تاعة الـ Connecting Rod في Cos Phi بالساوية
+
+208
+00:24:50,960 --> 00:24:56,220
+الـ Dθ وDt اللي هي Omega تاعة الكرانك في Cos Theta
+
+209
+00:24:56,220 --> 00:25:02,200
+على N بالصفر Omega للـ Connecting Rod بالساوية
+
+210
+00:25:02,200 --> 00:25:13,850
+Omega Cos Theta على N Cos Phiو احنا حكينا السابقان
+
+211
+00:25:13,850 --> 00:25:19,130
+cosine في بالساوية
+
+212
+00:25:44,770 --> 00:25:47,850
+طيب omega connected root سواء omega cosine theta
+
+213
+00:25:47,850 --> 00:25:53,070
+على n cosine phi حكيها أنا cosine phi ساوية الجزر
+
+214
+00:25:53,070 --> 00:26:02,590
+التربيعي لواحد ناقص sin تربيع theta على n تربيع
+
+215
+00:26:02,590 --> 00:26:09,930
+يعني
+
+216
+00:26:09,930 --> 00:26:17,990
+هذا حس ساويةomega cosine theta على الجزر التربيعي
+
+217
+00:26:17,990 --> 00:26:35,130
+الواحد minus sine تربيع theta على n تربيع نفس
+
+218
+00:26:35,130 --> 00:26:39,680
+الاصل اللي قلتهاللي هي هذه المعادلة الـ omega تحت
+
+219
+00:26:39,680 --> 00:26:43,560
+ال connecting rod omega cosine theta على جزر
+
+220
+00:26:43,560 --> 00:26:50,960
+التربيه لواحد ناقصان تربيه اسم square N لان
+
+221
+00:26:50,960 --> 00:26:55,680
+لاحظوا في عندي هنا N كمان لما تدخل N على الخط
+
+222
+00:26:55,680 --> 00:27:01,830
+بيصير عندي omega cosineثيتا لو دخلنا ال N جوا
+
+223
+00:27:01,830 --> 00:27:05,470
+الجزر التربيع يصير N تربيع بيساوي الجزر التربيع ل
+
+224
+00:27:05,470 --> 00:27:13,730
+N تربيع ناقص sin تربيع ثيتا لان عشان احسب العجلة
+
+225
+00:27:13,730 --> 00:27:20,470
+اللى هى Alpha بتاعة ال connecting rod هسه D Omega
+
+226
+00:27:20,470 --> 00:27:25,530
+لل connecting rod by DT
+
+227
+00:27:30,240 --> 00:27:35,920
+طبعا بشتق المعادلة هذه شغل calculus بتطلع ال alpha
+
+228
+00:27:35,920 --> 00:27:43,060
+بتاعة ال connecting rod بيساوي minus omega square
+
+229
+00:27:43,060 --> 00:27:57,800
+sine theta في N تربيع ناقص واحد على N تربيع minus
+
+230
+00:27:57,800 --> 00:27:59,060
+sine تربيع theta
+
+231
+00:28:02,890 --> 00:28:12,530
+اقصد تلاتة ع اتنين الان
+
+232
+00:28:12,530 --> 00:28:20,290
+لدينا هذه المعادلة لانجر
+
+233
+00:28:20,290 --> 00:28:25,890
+باليست ال connecting rod لدي هذه المعادلة لانجر
+
+234
+00:28:25,890 --> 00:28:29,110
+الاكسليريشن ال connecting rod هذه المعادلة تعطينا
+
+235
+00:28:29,110 --> 00:28:30,390
+الحسبة بالظبط 100%
+
+236
+00:28:36,050 --> 00:28:42,570
+هو نحكي هذه المعادلة الان ال square بتكون في معظم
+
+237
+00:28:42,570 --> 00:28:45,970
+الأحيان حوالين الخمسة ال sign زي ما انتوا عارفين
+
+238
+00:28:45,970 --> 00:28:53,590
+ال sign تتأرجح قيمتها بين minimum وناقص واحد يعني
+
+239
+00:28:53,590 --> 00:28:59,020
+أكبر أشي بتكون ال sign واحدمعناته لو N تربيع كان
+
+240
+00:28:59,020 --> 00:29:02,640
+ال N خمسة خمسة في خمسة خمسة وعشرين ناقص واحد اربع
+
+241
+00:29:02,640 --> 00:29:07,340
+وعشرين جزر الاربع وعشرين مش بعيد عن جزر الخمسة
+
+242
+00:29:07,340 --> 00:29:09,260
+وعشرين جزر الاربع وعشرين مش بعيد عن جزر الخمسة
+
+243
+00:29:09,260 --> 00:29:15,260
+معناته ممكن احكي انه انه بتكون sin square هتكون
+
+244
+00:29:15,260 --> 00:29:24,190
+sin square ثتا اقل بكتير من ال N تربيعيعني ما انا
+
+245
+00:29:24,190 --> 00:29:28,070
+ممكن احكي ك approximation omega تاعة ال connecting
+
+246
+00:29:28,070 --> 00:29:37,470
+rod بتساوي تقريبا omega cosine theta على الجزر
+
+247
+00:29:37,470 --> 00:29:42,550
+التربيعي على ال N تربيعي يعني هتساوي omega cosine
+
+248
+00:29:42,550 --> 00:29:52,110
+theta على N وبرضه
+
+249
+00:29:52,110 --> 00:29:58,140
+ال N squareالان سكوير هتكون اكبر بكتير من الواحد
+
+250
+00:29:58,140 --> 00:30:01,780
+يعني ممكن احكي الالفة بتاعة ال connecting rod
+
+251
+00:30:01,780 --> 00:30:09,820
+هتسوى minus omega square sine theta في N تربيع
+
+252
+00:30:09,820 --> 00:30:18,080
+تقريبا في N تربيع على N
+
+253
+00:30:18,080 --> 00:30:26,520
+تربيع أس تلاتة على اتنينيعني هيكون ساوى تقريبا
+
+254
+00:30:26,520 --> 00:30:34,480
+minus omega square sine theta في n تربية على n
+
+255
+00:30:34,480 --> 00:30:47,460
+تكيب يعني هتصفى minus omega square sine theta على
+
+256
+00:30:47,460 --> 00:30:47,960
+n
+
+257
+00:30:51,690 --> 00:30:54,670
+معناته omega pc omega بتاعة ال connecting rod
+
+258
+00:30:54,670 --> 00:30:59,410
+هتكون omega cosine theta على n تقريبا و alpha
+
+259
+00:30:59,410 --> 00:31:05,010
+alpha لل connecting rod بيصبح minus omega square
+
+260
+00:31:05,010 --> 00:31:09,250
+sine theta على n واضح ان هذه هي يعني طريقة تحليلية
+
+261
+00:31:09,250 --> 00:31:13,550
+تقريبية يعني احنا طريقة تحليلية تقريبية و الهدف
+
+262
+00:31:13,550 --> 00:31:18,250
+تبسيط المعدلات بدون ما يكون نسبة خطأ يعني بحيث
+
+263
+00:31:18,250 --> 00:31:22,760
+الخطأ نسبة خطأ تكون قليلة جدامعناته هذه الطريقة
+
+264
+00:31:22,760 --> 00:31:26,920
+التحليلية لحساب ال position velocity and
+
+265
+00:31:26,920 --> 00:31:32,620
+acceleration لل slider وطريقة التحليلية التقريبية
+
+266
+00:31:32,620 --> 00:31:35,600
+لحساب ال angular velocity و ال angular
+
+267
+00:31:35,600 --> 00:31:43,060
+acceleration لل connecting rod خليني
+
+268
+00:31:43,060 --> 00:31:44,920
+معناته نكتب المعادلات هذه
+
+269
+00:31:55,090 --> 00:32:00,830
+وميجا بتاعة ال connecting rod بتساوي
+
+270
+00:32:00,830 --> 00:32:10,330
+omega cosine theta على N تقريبا طبعا والالفة بتاعة
+
+271
+00:32:10,330 --> 00:32:17,430
+ال connecting rod بتساوي minus omega square sine
+
+272
+00:32:17,430 --> 00:32:22,110
+theta على N
+
+273
+00:32:31,700 --> 00:32:44,920
+نحل مثلًا if the
+
+274
+00:32:44,920 --> 00:32:46,660
+crank and connecting rod
+
+275
+00:32:50,610 --> 00:32:53,630
+if the crank and connecting rod are three hundred
+
+276
+00:32:53,630 --> 00:32:56,670
+millimeters and one thousand millimeters long يعني
+
+277
+00:32:56,670 --> 00:33:04,310
+المعطين الكرانك ال R تلتمية ميليميتر و الطول ال
+
+278
+00:33:04,310 --> 00:33:09,270
+connecting rod المعطينيها الف ميليميتر
+
+279
+00:33:09,270 --> 00:33:17,950
+معناته ال N اللي هي L على R هتكون سوء الف ع تلتمية
+
+280
+00:33:17,950 --> 00:33:27,730
+يعني عشرةعلى تلاتة طيب and the crank rotates at a
+
+281
+00:33:27,730 --> 00:33:32,750
+constant speed of two hundred rpm والسرعة الزاوية
+
+282
+00:33:32,750 --> 00:33:44,930
+الان للكرانك متين rpm معناة ال omega هتكون متين في
+
+283
+00:33:44,930 --> 00:33:47,970
+اتنين by على ستين
+
+284
+00:33:56,370 --> 00:34:04,970
+يعني هتكون تساوي عشرين باي على
+
+285
+00:34:04,970 --> 00:34:12,470
+تلاتة radians per second هذا
+
+286
+00:34:12,470 --> 00:34:19,730
+المعطيات determine
+
+287
+00:34:19,730 --> 00:34:23,590
+the crank angle at which maximum velocity occurs
+
+288
+00:34:24,350 --> 00:34:30,230
+بدوا الـ crank angle يعني بدوا الـ theta at
+
+289
+00:34:30,230 --> 00:34:35,610
+maximum velocity
+
+290
+00:34:44,720 --> 00:34:48,200
+ال velocity is maximum بتكون لما ال acceleration
+
+291
+00:34:48,200 --> 00:34:52,740
+بتساوي zero يعني ال velocity بتكون maximum او لما
+
+292
+00:34:52,740 --> 00:34:55,300
+تكون velocity maximum او minimum بتكون ال
+
+293
+00:34:55,300 --> 00:34:59,820
+acceleration بتساوي zero يعني ال velocity of
+
+294
+00:34:59,820 --> 00:35:03,980
+piston is
+
+295
+00:35:03,980 --> 00:35:13,340
+maximum when acceleration لل piston بتساوي zero
+
+296
+00:35:14,890 --> 00:35:20,190
+يعني احنا هنكون عندى ال zero بتساوي
+
+297
+00:35:20,190 --> 00:35:30,530
+omega square r في cosine theta زائد cosine two
+
+298
+00:35:30,530 --> 00:35:36,310
+theta على n طبعا حاسين عندى
+
+299
+00:35:42,450 --> 00:35:44,950
+هتروح الامجا سكوير الامجا سكوير الامجا سكوير
+
+300
+00:35:44,950 --> 00:35:52,370
+الامجا سكوير الامجا سكوير الامجا سكوير الامجا
+
+301
+00:35:52,370 --> 00:35:56,990
+سكوير الامجا سكوير الامجا سكوير الامجا سكوير
+
+302
+00:35:56,990 --> 00:35:57,810
+الامجا سكوير الامجا سكوير الامجا سكوير الامجا
+
+303
+00:35:57,810 --> 00:35:57,870
+سكوير الامجا سكوير الامجا سكوير الامجا سكوير
+
+304
+00:35:57,870 --> 00:35:59,350
+الامجا سكوير الامجا سكوير الامجا سكوير الامجا
+
+305
+00:35:59,350 --> 00:36:03,890
+سكوير الامجا سكوير
+
+306
+00:36:03,890 --> 00:36:07,330
+الامجا سكوير الامجا سكوير الامجا سكوير الامجا
+
+307
+00:36:07,330 --> 00:36:13,810
+سكوير الامجا سكوير الامجازائد تلاتة من عشرة cosine
+
+308
+00:36:13,810 --> 00:36:27,050
+two theta بالساوية zero طبعا
+
+309
+00:36:27,050 --> 00:36:33,070
+هذه المعادلة عادية non non
+
+310
+00:36:33,070 --> 00:36:35,090
+linear
+
+311
+00:36:37,510 --> 00:36:46,910
+equation هذه معادلة غير خطية غير خطية يعني
+
+312
+00:36:46,910 --> 00:36:52,030
+solve for
+
+313
+00:36:52,030 --> 00:37:03,450
+theta using numerical techniques
+
+314
+00:37:09,730 --> 00:37:12,410
+عند نيوتن رافسون عند ال interpolation عند ال by
+
+315
+00:37:12,410 --> 00:37:16,390
+section في كذا طريقة ممكن تستخدم ال math lab او ال
+
+316
+00:37:16,390 --> 00:37:25,690
+mathematica او any software or you may solve
+
+317
+00:37:25,690 --> 00:37:30,210
+by trial and error
+
+318
+00:37:35,600 --> 00:37:40,640
+يعني you assume θ وشوف لحد ما يصير الطرف على
+
+319
+00:37:40,640 --> 00:37:45,160
+الشمال يساوي zero ده تحسب و تحسب لأن once you
+
+320
+00:37:45,160 --> 00:37:53,040
+solve for θ بتحسب V بتعود V بتساوي V maximum
+
+321
+00:37:53,040 --> 00:37:59,440
+بتساوي اللي هي omega R V sin θ
+
+322
+00:38:02,340 --> 00:38:11,980
+زائد sin two theta على n من نتيجة المعادلة هذه
+
+323
+00:38:11,980 --> 00:38:16,040
+بحسب theta بعوض theta هنا و ال omega معروفة عندي و
+
+324
+00:38:16,040 --> 00:38:19,520
+ال R معروفة و ال N معروفة بحسب ال maximum speed
+
+325
+00:38:19,520 --> 00:38:24,800
+اللي بتكون عندها ال acceleration zero يعني اتوقع
+
+326
+00:38:24,800 --> 00:38:27,900
+انكم حلوا المعادلة هذه بعدين اعوضوا في المعادلة
+
+327
+00:38:27,900 --> 00:38:29,520
+هذه عشان تجدوا maximum speed
+
+328
+00:38:34,240 --> 00:38:46,540
+نشوف مثال تاني The crank
+
+329
+00:38:46,540 --> 00:38:49,800
+and correcting rod of a steam engine ال crank و ال
+
+330
+00:38:49,800 --> 00:38:55,500
+connecting rod لمحرك بخاري are point three meters
+
+331
+00:38:55,500 --> 00:38:58,020
+and one point five meters in length معطيني ال
+
+332
+00:38:58,020 --> 00:39:04,660
+crank R لمحرك بخاري تلاتة من عشرة متروالطول ال
+
+333
+00:39:04,660 --> 00:39:09,100
+connecting rod واحد و نص متر معناته ال N هتساوي
+
+334
+00:39:09,100 --> 00:39:14,660
+واحد و نص ع تلات من عشرة يعني هيكون استوياش خمسة
+
+335
+00:39:14,660 --> 00:39:20,860
+ال N ال crank rotates at one hundred eighty rpm
+
+336
+00:39:20,860 --> 00:39:28,220
+clockwise بالدور N مية و تمانين revolution per
+
+337
+00:39:28,220 --> 00:39:32,890
+minuteمعناة الاميجيا هتكون تسوى مية و تمانين فى
+
+338
+00:39:32,890 --> 00:39:40,570
+اتنين باى على ستين تسوى ستة باى radians per second
+
+339
+00:39:42,260 --> 00:39:45,100
+Determine velocity and acceleration of piston when
+
+340
+00:39:45,100 --> 00:39:47,820
+the crank is at 4 degrees from inner dead center
+
+341
+00:39:47,820 --> 00:39:53,160
+يعني ثيتا
+
+342
+00:39:53,160 --> 00:39:59,160
+بسوء أربعين درجة احسب ال velocity ال velocity ده
+
+343
+00:39:59,160 --> 00:40:04,800
+هي عندي ال V بتاعة ال piston بسوء Omega R Omega R
+
+344
+00:40:04,800 --> 00:40:09,020
+اللي احنا حسبنا هو Omega اللي هي ستة باى في ال R
+
+345
+00:40:09,020 --> 00:40:19,250
+اللي هيتلاتة من عشرة في sign الاربعين زاد
+
+346
+00:40:19,250 --> 00:40:26,830
+sign التمانين الى two theta على خمسة ومنها بحسب ال
+
+347
+00:40:26,830 --> 00:40:32,880
+VB وال acceleration ABاللي من المعادلة هي دي omega
+
+348
+00:40:32,880 --> 00:40:36,100
+square r في cosine theta زي كوصينتو ثتا على n لان
+
+349
+00:40:36,100 --> 00:40:44,460
+عندكوا عندى ستة by تربية في تلاتة من عشرة في كوصين
+
+350
+00:40:44,460 --> 00:40:56,180
+الأربعين زي كوصين التمانين على خمسة ومنها بحسب ال
+
+351
+00:40:56,180 --> 00:40:57,360
+acceleration لل piston
+
+352
+00:41:04,100 --> 00:41:07,520
+المطلوب التاني position of the crank for zero
+
+353
+00:41:07,520 --> 00:41:12,120
+acceleration of the piston بده position of the
+
+354
+00:41:12,120 --> 00:41:17,400
+crank for zero يعني بده ال X for zero acceleration
+
+355
+00:41:17,400 --> 00:41:23,840
+لما انت حسب A B لما ال A B تكون ساوة Zero هيكون
+
+356
+00:41:23,840 --> 00:41:36,540
+ساوة عنده Omega SquareR في cos θ زاد cos 2θ على
+
+357
+00:41:36,540 --> 00:41:48,320
+خمسة يعني هصير عنده cos θ زاد اتنين من عشرة cos 2θ
+
+358
+00:41:48,320 --> 00:41:54,420
+بساوة زيرو معناه to solve اول شي four theta
+
+359
+00:41:59,060 --> 00:42:06,920
+بعد ما اصول for theta عوّد substitute in
+
+360
+00:42:06,920 --> 00:42:20,310
+equation for X ال X هتكون تساوي اللي هي Rفي واحد
+
+361
+00:42:20,310 --> 00:42:29,870
+minus cosine theta زائد sine square theta على
+
+362
+00:42:29,870 --> 00:42:30,610
+اتنين N
+
+363
+00:42:37,080 --> 00:42:40,280
+الـ R اللي هي تلاتة من عشرة والـ θيتا اللي حسبناها
+
+364
+00:42:40,280 --> 00:42:43,540
+من المعادلة هذه والان بالساعة خمسة بحث ال position
+
+365
+00:42:43,540 --> 00:42:49,760
+of the crank position ال θيتا تمثل position of the
+
+366
+00:42:49,760 --> 00:42:53,960
+crank ال X تمثل position of the piston يعني ال
+
+367
+00:42:53,960 --> 00:42:57,840
+θيتا position of the crank و ال X position of the
+
+368
+00:42:57,840 --> 00:42:58,140
+piston
+
+369
+00:43:06,010 --> 00:43:07,370
+نشوف كمان مثال
+
+370
+00:43:22,650 --> 00:43:25,430
+if a slider crank mechanism in a slider crank
+
+371
+00:43:25,430 --> 00:43:27,590
+mechanism the length of the crank in a slider
+
+372
+00:43:27,590 --> 00:43:29,790
+crank mechanism the length of the crank and
+
+373
+00:43:29,790 --> 00:43:32,710
+correcting rod are one hundred fifty and six
+
+374
+00:43:32,710 --> 00:43:34,850
+hundred millimeters respectively معطي يعني في
+
+375
+00:43:34,850 --> 00:43:40,450
+slider crank ال R بتاعة الكرانك مية و خمسين ميلي
+
+376
+00:43:40,450 --> 00:43:46,870
+متر وال L ستمية ميلي متر معناته ال N هتكون
+
+377
+00:43:46,870 --> 00:43:53,190
+automatic L على Rبساوة ستمية على مية و خمسين تطلع
+
+378
+00:43:53,190 --> 00:43:57,150
+أربعة the
+
+379
+00:43:57,150 --> 00:43:59,850
+crank position is six degrees from the inner dead
+
+380
+00:43:59,850 --> 00:44:08,010
+center نعطينا ال theta بساوة ستين درجة the crank
+
+381
+00:44:08,010 --> 00:44:16,350
+shaft speed الان اللي هي أربع مية و خمسين rpm
+
+382
+00:44:16,350 --> 00:44:18,150
+clockwise
+
+383
+00:44:20,390 --> 00:44:26,610
+يعني ال omega هتكون اربعمائة و خمسين في اتنين by ع
+
+384
+00:44:26,610 --> 00:44:33,150
+ستين يعني سفر اتنين تلاتة ع تلاتة واحد تلاتة في
+
+385
+00:44:33,150 --> 00:44:41,630
+ايش خمستاشر يعني هتكون ساوى خمستاشر هتساوى خمستاشر
+
+386
+00:44:41,630 --> 00:44:48,330
+by radians per second
+
+387
+00:44:52,120 --> 00:44:54,460
+using analytical method to determine the velocity
+
+388
+00:44:54,460 --> 00:45:00,540
+and acceleration of the piston ال V
+
+389
+00:45:00,540 --> 00:45:08,300
+بتاعة ال piston هتكون Omega R في Sine Theta زائد
+
+390
+00:45:08,300 --> 00:45:14,360
+Sine Two Theta على N يعني ال Omega عندي هي خمستاشر
+
+391
+00:45:14,360 --> 00:45:19,600
+باي في ال R اللي هي point واحد خمسة في Sine ستين
+
+392
+00:45:20,500 --> 00:45:26,560
+زائد صين المية وعشرين على أربعة ومنها بحسب ال
+
+393
+00:45:26,560 --> 00:45:30,540
+باليستي للبستون ال acceleration للبستون هتكون
+
+394
+00:45:30,540 --> 00:45:38,580
+omega square r في cosine theta زائد cosine two
+
+395
+00:45:38,580 --> 00:45:44,500
+thetaعلى n يعني هتكون omega اللي هي خمستاشر by
+
+396
+00:45:44,500 --> 00:45:50,880
+تربيع في ال R اللي هي point واحد خمسة في cosine
+
+397
+00:45:50,880 --> 00:46:07,140
+الستين زائد cosine المية وعشرين على أربعة طيب
+
+398
+00:46:07,140 --> 00:46:10,950
+هذا المطلوب أو المطلوب التانيAngular velocity and
+
+399
+00:46:10,950 --> 00:46:14,190
+angular acceleration of the connecting rod السرعة
+
+400
+00:46:14,190 --> 00:46:18,390
+الزاوية العادية الزاوية لل connecting rod ال
+
+401
+00:46:18,390 --> 00:46:19,710
+angular velocity لل connecting rod او ال
+
+402
+00:46:19,710 --> 00:46:23,030
+connecting rod اميجا لل connecting rod اللي هي
+
+403
+00:46:23,030 --> 00:46:30,120
+اميجا كساين ثيتا على ان يعني هتكون عندي اميجااللي
+
+404
+00:46:30,120 --> 00:46:36,640
+هي خمستاشر by في cosine الستين على n اللي هي h
+
+405
+00:46:36,640 --> 00:46:40,280
+أربعة منها بحسب ال omega بتاعة ال connecting rod
+
+406
+00:46:40,280 --> 00:46:44,300
+والالفة بتاعة ال connecting rod هتكون تستوى minus
+
+407
+00:46:44,300 --> 00:46:53,660
+omega square sine theta على h على n هتكون minus
+
+408
+00:46:55,490 --> 00:47:07,790
+اللي هي خمستاشر باى تربيع ساين الستين على أربعة و
+
+409
+00:47:07,790 --> 00:47:13,810
+أنا بحسب إيش الألفة طيب
+
+410
+00:47:13,810 --> 00:47:16,810
+المحاضرة الجاية بنكمل
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vONhwXNiXVE_raw.json b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vONhwXNiXVE_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..033deee966a4756a3da2d7db6d853d3d09ded80a
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vONhwXNiXVE_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 1973, "start": 4.91, "end": 19.73, "text": "بسم الله الرحمن الرحيم السلام عليكم ورحمة الله وبركاته لان هنستقنف المحاضرات في مادة نظرية الآلات اللي هو هنتقل على شبتر جديد اللي هي حسابات ال inertia forces in reciprocating parts", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21136, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224, 5296, 7649, 8032, 1863, 14851, 4587, 1863, 5172, 9673, 5016, 46958, 2288, 9307, 8978, 3714, 18513, 3660, 8717, 19913, 2288, 10632, 6024, 95, 1211, 9307, 13672, 1829, 31439, 8032, 29399, 4587, 1211, 15844, 13412, 3555, 2655, 2288, 10874, 16254, 3215, 13672, 1829, 39896, 11331, 3794, 16758, 9307, 2423, 37234, 5874, 294, 28961, 66, 990, 3166], "avg_logprob": -0.18136867616750016, "compression_ratio": 1.633879781420765, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 4.91, "end": 5.31, "word": "بسم", "probability": 0.875244140625}, {"start": 5.31, "end": 5.55, 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بسواء", "probability": 0.75323486328125}, {"start": 490.45, "end": 490.81, "word": " R", "probability": 0.96630859375}, {"start": 490.81, "end": 491.85, "word": " Sine", "probability": 0.95068359375}, {"start": 491.85, "end": 492.81, "word": " Theta", "probability": 0.959716796875}, {"start": 492.81, "end": 493.91, "word": " يعني", "probability": 0.882080078125}, {"start": 493.91, "end": 494.99, "word": " Sine", "probability": 0.865478515625}, {"start": 494.99, "end": 495.47, "word": " Fi", "probability": 0.97021484375}, {"start": 495.47, "end": 497.73, "word": " هتكون", "probability": 0.9376627604166666}, {"start": 497.73, "end": 498.27, "word": " تساوي", "probability": 0.7906494140625}, {"start": 498.27, "end": 499.51, "word": " R", "probability": 0.94384765625}, {"start": 499.51, "end": 499.77, "word": " على", "probability": 0.7099609375}, {"start": 499.77, "end": 500.27, "word": " L", "probability": 0.9931640625}, {"start": 500.27, "end": 502.89, "word": " Sine", "probability": 0.92822265625}, {"start": 502.89, "end": 503.67, "word": " Theta", "probability": 0.96484375}], "temperature": 1.0}, {"id": 19, "seek": 52705, "start": 505.08, "end": 527.06, "text": "خلّيني اعرف let's define خلّيني اعرف ال ratio ال connecting rod على طول ال crank اللي هي L على R معناته بتصير عندهين sin phi بتساوي sin theta على N", "tokens": [9778, 1211, 11703, 9957, 1829, 1975, 3615, 28480, 718, 311, 6964, 16490, 1211, 11703, 9957, 1829, 1975, 3615, 28480, 2423, 8509, 2423, 11015, 8685, 15844, 23032, 12610, 2423, 21263, 13672, 1829, 39896, 441, 15844, 497, 20449, 8315, 47395, 39894, 9381, 13546, 43242, 3224, 9957, 3343, 13107, 39894, 3794, 995, 45865, 3343, 9725, 15844, 426], "avg_logprob": -0.2937499913302335, "compression_ratio": 1.3896103896103895, "no_speech_prob": 0.0, "words": [{"start": 505.08, "end": 505.52, "word": "خلّيني", "probability": 0.86064453125}, {"start": 505.52, "end": 505.86, "word": " اعرف", "probability": 0.7599283854166666}, {"start": 505.86, "end": 506.22, "word": " let's", "probability": 0.7109375}, {"start": 506.22, "end": 506.68, "word": " define", "probability": 0.98583984375}, {"start": 506.68, "end": 507.06, "word": " خلّيني", "probability": 0.7734130859375}, {"start": 507.06, "end": 507.32, "word": " اعرف", "probability": 0.9596354166666666}, {"start": 507.32, "end": 507.64, "word": " ال", "probability": 0.8642578125}, {"start": 507.64, "end": 508.42, "word": " ratio", "probability": 0.9248046875}, {"start": 508.42, "end": 510.22, "word": " ال", "probability": 0.281494140625}, {"start": 510.22, "end": 511.5, "word": " connecting", "probability": 0.78759765625}, {"start": 511.5, "end": 511.82, "word": " rod", "probability": 0.91552734375}, {"start": 511.82, "end": 511.96, "word": " على", "probability": 0.7021484375}, {"start": 511.96, "end": 512.22, "word": " طول", "probability": 0.975830078125}, {"start": 512.22, "end": 512.36, "word": " ال", "probability": 0.6181640625}, {"start": 512.36, "end": 512.82, "word": " crank", "probability": 0.71435546875}, {"start": 512.82, "end": 513.26, "word": " اللي", "probability": 0.888671875}, {"start": 513.26, "end": 513.44, "word": " هي", "probability": 0.70166015625}, {"start": 513.44, "end": 513.68, "word": " L", "probability": 0.77197265625}, {"start": 513.68, "end": 513.84, "word": " على", "probability": 0.62890625}, {"start": 513.84, "end": 514.16, "word": " R", "probability": 0.9833984375}, {"start": 514.16, "end": 516.38, "word": " معناته", "probability": 0.80224609375}, {"start": 516.38, "end": 516.7, "word": " بتصير", "probability": 0.7484537760416666}, {"start": 516.7, "end": 517.3, "word": " عندهين", "probability": 0.718017578125}, {"start": 517.3, "end": 520.1, "word": " sin", "probability": 0.4306640625}, {"start": 520.1, "end": 520.64, "word": " phi", "probability": 0.1912841796875}, {"start": 520.64, "end": 523.38, "word": " بتساوي", "probability": 0.7821044921875}, {"start": 523.38, "end": 523.98, "word": " sin", "probability": 0.90380859375}, {"start": 523.98, "end": 524.54, "word": " theta", "probability": 0.5166015625}, {"start": 524.54, "end": 526.72, "word": " على", "probability": 0.791015625}, {"start": 526.72, "end": 527.06, "word": " N", "probability": 0.74267578125}], "temperature": 1.0}, {"id": 20, "seek": 55764, "start": 532.52, "end": 557.64, "text": "طب خلّيني اذا انا عارف sign في هي عندي sign و حكيت هذه في حكيت sign في بتساوي هذا الضلع عبارة عن sign theta و هذا n معناته هذا الضلع ايش هيكون؟ هيكون الجزر التربيعي", "tokens": [9566, 3555, 16490, 1211, 11703, 9957, 1829, 1975, 15730, 1975, 8315, 6225, 9640, 5172, 1465, 8978, 39896, 43242, 1829, 1465, 4032, 11331, 4117, 36081, 29538, 8978, 11331, 4117, 36081, 1465, 8978, 39894, 3794, 995, 45865, 23758, 6024, 114, 1211, 3615, 6225, 3555, 9640, 3660, 18871, 1465, 9725, 4032, 23758, 297, 20449, 8315, 47395, 23758, 6024, 114, 1211, 3615, 1975, 1829, 8592, 39896, 30544, 22807, 39896, 30544, 25724, 11622, 2288, 16712, 2288, 21292, 3615, 1829], "avg_logprob": -0.259999992052714, "compression_ratio": 1.7, "no_speech_prob": 0.0, "words": [{"start": 532.52, "end": 532.92, "word": "طب", "probability": 0.85595703125}, {"start": 532.92, "end": 533.56, "word": " خلّيني", "probability": 0.7953125}, {"start": 533.56, "end": 533.78, "word": " اذا", "probability": 0.8505859375}, {"start": 533.78, "end": 533.94, "word": " انا", "probability": 0.8447265625}, {"start": 533.94, "end": 534.28, "word": " عارف", "probability": 0.9840494791666666}, {"start": 534.28, "end": 534.66, "word": " sign", "probability": 0.08984375}, {"start": 534.66, "end": 535.38, "word": " في", "probability": 0.7431640625}, {"start": 535.38, "end": 537.0, "word": " هي", "probability": 0.5634765625}, {"start": 537.0, "end": 537.28, "word": " عندي", "probability": 0.599609375}, {"start": 537.28, "end": 537.72, "word": " sign", "probability": 0.86474609375}, {"start": 537.72, "end": 540.5, "word": " و", "probability": 0.287109375}, {"start": 540.5, "end": 540.74, "word": " حكيت", "probability": 0.7548828125}, {"start": 540.74, "end": 540.96, "word": " هذه", "probability": 0.6083984375}, {"start": 540.96, "end": 541.42, "word": " في", "probability": 0.796875}, {"start": 541.42, "end": 543.14, "word": " حكيت", "probability": 0.96533203125}, {"start": 543.14, "end": 543.46, "word": " sign", "probability": 0.857421875}, {"start": 543.46, "end": 544.0, "word": " في", "probability": 0.95751953125}, {"start": 544.0, "end": 545.82, "word": " بتساوي", "probability": 0.82958984375}, {"start": 545.82, "end": 546.12, "word": " هذا", "probability": 0.78173828125}, {"start": 546.12, "end": 546.94, "word": " الضلع", "probability": 0.76947021484375}, {"start": 546.94, "end": 547.4, "word": " عبارة", "probability": 0.9747314453125}, {"start": 547.4, "end": 548.64, "word": " عن", "probability": 0.994140625}, {"start": 548.64, "end": 550.22, "word": " sign", "probability": 0.74658203125}, {"start": 550.22, "end": 550.72, "word": " theta", "probability": 0.52587890625}, {"start": 550.72, "end": 552.4, "word": " و", "probability": 0.72998046875}, {"start": 552.4, "end": 552.56, "word": " هذا", "probability": 0.6923828125}, {"start": 552.56, "end": 552.86, "word": " n", "probability": 0.51806640625}, {"start": 552.86, "end": 554.12, "word": " معناته", "probability": 0.9021809895833334}, {"start": 554.12, "end": 554.26, "word": " هذا", "probability": 0.78515625}, {"start": 554.26, "end": 554.56, "word": " الضلع", "probability": 0.9505615234375}, {"start": 554.56, "end": 554.66, "word": " ايش", "probability": 0.7518717447916666}, {"start": 554.66, "end": 556.16, "word": " هيكون؟", "probability": 0.6763509114583334}, {"start": 556.16, "end": 556.58, "word": " هيكون", "probability": 0.91357421875}, {"start": 556.58, "end": 556.94, "word": " الجزر", "probability": 0.8616536458333334}, {"start": 556.94, "end": 557.64, "word": " التربيعي", "probability": 0.87900390625}], "temperature": 1.0}, {"id": 21, "seek": 58758, "start": 560.16, "end": 587.58, "text": "لان تربيع ناقص sin تربيع ثتا معناته cosine في بتساوي جزر التربيع لان تربيع minus sin تربيع ثتا على ان نعود لمعادلة معناته x بالساوية", "tokens": [1211, 7649, 6055, 2288, 21292, 3615, 8717, 995, 4587, 9381, 3343, 6055, 2288, 21292, 3615, 38637, 2655, 995, 20449, 8315, 47395, 23565, 8978, 39894, 3794, 995, 45865, 10874, 11622, 2288, 16712, 2288, 21292, 3615, 5296, 7649, 6055, 2288, 21292, 3615, 3175, 3343, 6055, 2288, 21292, 3615, 38637, 2655, 995, 15844, 16472, 8717, 3615, 23328, 32767, 3615, 18513, 37977, 20449, 8315, 47395, 2031, 20666, 3794, 995, 2407, 10632], "avg_logprob": -0.2720588314182618, "compression_ratio": 1.6946564885496183, "no_speech_prob": 0.0, "words": [{"start": 560.16, "end": 560.72, "word": "لان", "probability": 0.33642578125}, {"start": 560.72, "end": 561.28, "word": " تربيع", "probability": 0.80419921875}, {"start": 561.28, "end": 563.26, "word": " ناقص", "probability": 0.81829833984375}, {"start": 563.26, "end": 563.54, "word": " sin", "probability": 0.447998046875}, {"start": 563.54, "end": 564.18, "word": " تربيع", "probability": 0.9222412109375}, {"start": 564.18, "end": 566.26, "word": " ثتا", "probability": 0.5487060546875}, {"start": 566.26, "end": 567.14, "word": " معناته", "probability": 0.7539876302083334}, {"start": 567.14, "end": 567.5, "word": " cosine", "probability": 0.39404296875}, {"start": 567.5, "end": 568.02, "word": " في", "probability": 0.2744140625}, {"start": 568.02, "end": 572.22, "word": " بتساوي", "probability": 0.8497314453125}, {"start": 572.22, "end": 573.76, "word": " جزر", "probability": 0.8898111979166666}, {"start": 573.76, "end": 574.28, "word": " التربيع", "probability": 0.94970703125}, {"start": 574.28, "end": 575.82, "word": " لان", "probability": 0.925537109375}, {"start": 575.82, "end": 576.34, "word": " تربيع", "probability": 0.913818359375}, {"start": 576.34, "end": 577.56, "word": " minus", "probability": 0.7060546875}, {"start": 577.56, "end": 577.98, "word": " sin", "probability": 0.92578125}, {"start": 577.98, "end": 578.6, "word": " تربيع", "probability": 0.968505859375}, {"start": 578.6, "end": 580.0, "word": " ثتا", "probability": 0.78515625}, {"start": 580.0, "end": 581.18, "word": " على", "probability": 0.82763671875}, {"start": 581.18, "end": 581.62, "word": " ان", "probability": 0.50634765625}, {"start": 581.62, "end": 585.12, "word": " نعود", "probability": 0.8460286458333334}, {"start": 585.12, "end": 586.16, "word": " لمعادلة", "probability": 0.9058837890625}, {"start": 586.16, "end": 586.54, "word": " معناته", "probability": 0.7706705729166666}, {"start": 586.54, "end": 586.9, "word": " x", "probability": 0.5556640625}, {"start": 586.9, "end": 587.58, "word": " بالساوية", "probability": 0.76103515625}], "temperature": 1.0}, {"id": 22, "seek": 61745, "start": 591.33, "end": 617.45, "text": "R في واحد minus cosine theta زاد L في واحد minus cosine في الجزر التربيعي لواحد minus sine تربيعي theta على N تربيعي", "tokens": [49, 8978, 36764, 24401, 3175, 23565, 9725, 30767, 18513, 441, 8978, 36764, 24401, 3175, 23565, 8978, 25724, 11622, 2288, 16712, 2288, 21292, 3615, 1829, 5296, 14407, 24401, 3175, 18609, 6055, 2288, 21292, 3615, 1829, 9725, 15844, 426, 6055, 2288, 21292, 3615, 1829], "avg_logprob": -0.26835030040075614, "compression_ratio": 1.7291666666666667, "no_speech_prob": 0.0, "words": [{"start": 591.33, "end": 591.83, "word": "R", "probability": 0.6748046875}, {"start": 591.83, "end": 593.35, "word": " في", "probability": 0.357421875}, {"start": 593.35, "end": 593.87, "word": " واحد", "probability": 0.6578369140625}, {"start": 593.87, "end": 594.39, "word": " minus", "probability": 0.52099609375}, {"start": 594.39, "end": 594.77, "word": " cosine", "probability": 0.8173828125}, {"start": 594.77, "end": 596.65, "word": " theta", "probability": 0.496826171875}, {"start": 596.65, "end": 598.03, "word": " زاد", "probability": 0.5184326171875}, {"start": 598.03, "end": 598.37, "word": " L", "probability": 0.77734375}, {"start": 598.37, "end": 602.85, "word": " في", "probability": 0.9443359375}, {"start": 602.85, "end": 604.79, "word": " واحد", "probability": 0.98974609375}, {"start": 604.79, "end": 605.41, "word": " minus", "probability": 0.98828125}, {"start": 605.41, "end": 606.83, "word": " cosine", "probability": 0.91552734375}, {"start": 606.83, "end": 607.23, "word": " في", "probability": 0.31005859375}, {"start": 607.23, "end": 607.75, "word": " الجزر", "probability": 0.9373372395833334}, {"start": 607.75, "end": 609.05, "word": " التربيعي", "probability": 0.87529296875}, {"start": 609.05, "end": 612.11, "word": " لواحد", "probability": 0.84814453125}, {"start": 612.11, "end": 612.89, "word": " minus", "probability": 0.98876953125}, {"start": 612.89, "end": 613.21, "word": " sine", "probability": 0.398681640625}, {"start": 613.21, "end": 614.01, "word": " تربيعي", "probability": 0.90869140625}, {"start": 614.01, "end": 615.25, "word": " theta", "probability": 0.34375}, {"start": 615.25, "end": 616.67, "word": " على", "probability": 0.77978515625}, {"start": 616.67, "end": 616.93, "word": " N", "probability": 0.58837890625}, {"start": 616.93, "end": 617.45, "word": " تربيعي", "probability": 0.948046875}], "temperature": 1.0}, {"id": 23, "seek": 65508, "start": 625.88, "end": 655.08, "text": "مانعة وجدنا علاقة ل X طيب الان احنا so far اوجدنا علاقة هذه", "tokens": [2304, 7649, 27884, 49610, 3215, 8315, 11203, 995, 28671, 5296, 1783, 23032, 1829, 3555, 2423, 7649, 1975, 5016, 8315, 370, 1400, 1975, 29245, 3215, 8315, 11203, 995, 28671, 29538], "avg_logprob": -0.31979165275891624, "compression_ratio": 1.2987012987012987, "no_speech_prob": 0.0, "words": [{"start": 625.88, "end": 626.26, "word": "مانعة", "probability": 0.3534342447916667}, {"start": 626.26, "end": 626.56, "word": " وجدنا", "probability": 0.7960611979166666}, {"start": 626.56, "end": 627.02, "word": " علاقة", "probability": 0.99169921875}, {"start": 627.02, "end": 627.68, "word": " ل", "probability": 0.8232421875}, {"start": 627.68, "end": 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{"start": 829.16, "end": 829.62, "word": " نص", "probability": 0.991943359375}, {"start": 829.62, "end": 831.84, "word": " في", "probability": 0.962890625}, {"start": 831.84, "end": 832.34, "word": " sin", "probability": 0.69970703125}, {"start": 832.34, "end": 832.9, "word": " تربيع", "probability": 0.8397216796875}], "temperature": 1.0}, {"id": 31, "seek": 85742, "start": 835.28, "end": 857.42, "text": "theta على n تربيع زائد other other higher terms الان انا عندي هنا n تربيع بعد شو هتصير n اربعة", "tokens": [392, 7664, 15844, 297, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 661, 661, 2946, 2115, 2423, 7649, 1975, 8315, 18871, 16254, 34105, 297, 6055, 2288, 21292, 3615, 39182, 13412, 2407, 8032, 2655, 9381, 13546, 297, 1975, 25513, 27884], "avg_logprob": -0.44150641025641024, "compression_ratio": 1.2962962962962963, "no_speech_prob": 0.0, "words": [{"start": 835.2800000000001, "end": 836.44, "word": "theta", "probability": 0.5494384765625}, {"start": 836.44, "end": 837.6, "word": " على", "probability": 0.6552734375}, {"start": 837.6, "end": 838.0, "word": " n", "probability": 0.5244140625}, {"start": 838.0, "end": 838.6, "word": " تربيع", "probability": 0.77734375}, {"start": 838.6, "end": 841.88, "word": " زائد", "probability": 0.67041015625}, {"start": 841.88, "end": 842.9, "word": " other", "probability": 0.84814453125}, {"start": 842.9, "end": 844.74, "word": " other", "probability": 0.5732421875}, {"start": 844.74, "end": 846.54, "word": " higher", "probability": 0.87109375}, {"start": 846.54, "end": 849.12, "word": " terms", "probability": 0.8955078125}, {"start": 849.12, "end": 853.52, "word": " الان", "probability": 0.60845947265625}, {"start": 853.52, "end": 853.74, "word": " انا", "probability": 0.765625}, {"start": 853.74, "end": 854.0, "word": " عندي", "probability": 0.63720703125}, {"start": 854.0, "end": 854.22, "word": " هنا", "probability": 0.69091796875}, {"start": 854.22, "end": 854.48, "word": " n", "probability": 0.6259765625}, {"start": 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"text": "و احنا حكينا السابقان cosine في بالساوية", "tokens": [2407, 1975, 5016, 8315, 11331, 4117, 1829, 8315, 21136, 16758, 4587, 7649, 23565, 8978, 20666, 3794, 995, 2407, 10632], "avg_logprob": -0.3380859360098839, "compression_ratio": 1.0625, "no_speech_prob": 0.0, "words": [{"start": 1512.45, "end": 1512.65, "word": "و", "probability": 0.50390625}, {"start": 1512.65, "end": 1512.79, "word": " احنا", "probability": 0.7715657552083334}, {"start": 1512.79, "end": 1513.17, "word": " حكينا", "probability": 0.9718017578125}, {"start": 1513.17, "end": 1513.85, "word": " السابقان", "probability": 0.8348388671875}, {"start": 1513.85, "end": 1514.15, "word": " cosine", "probability": 0.455810546875}, {"start": 1514.15, "end": 1514.55, "word": " في", "probability": 0.31787109375}, {"start": 1514.55, "end": 1519.13, "word": " بالساوية", "probability": 0.70625}], "temperature": 1.0}, {"id": 55, "seek": 157073, "start": 1544.77, "end": 1570.73, "text": "طيب omega connected root سواء omega cosine theta على n cosine phi حكيها أنا cosine phi ساوية الجزر التربيعي لواحد ناقص sin تربيع theta على n تربيع يعني هذا حس ساوية", "tokens": [9566, 1829, 3555, 10498, 4582, 5593, 8608, 2407, 16606, 10498, 23565, 9725, 15844, 297, 23565, 13107, 11331, 4117, 1829, 11296, 41850, 23565, 13107, 8608, 995, 2407, 10632, 25724, 11622, 2288, 16712, 2288, 21292, 3615, 1829, 5296, 14407, 24401, 8717, 995, 4587, 9381, 3343, 6055, 2288, 21292, 3615, 9725, 15844, 297, 6055, 2288, 21292, 3615, 37495, 22653, 23758, 11331, 3794, 8608, 995, 2407, 10632], "avg_logprob": -0.39770508650690317, "compression_ratio": 1.5629139072847682, "no_speech_prob": 0.0, "words": [{"start": 1544.77, "end": 1545.23, "word": "طيب", "probability": 0.7891438802083334}, {"start": 1545.23, "end": 1545.99, "word": " omega", "probability": 0.29931640625}, {"start": 1545.99, "end": 1546.33, "word": " connected", "probability": 0.341796875}, {"start": 1546.33, "end": 1546.51, "word": " root", "probability": 0.202880859375}, 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تربيع ناقص واحد على N تربيع minus sine تربيع theta", "tokens": [9566, 3555, 3615, 995, 4724, 8592, 2655, 4587, 9673, 3615, 18513, 37977, 29538, 13412, 17082, 1211, 33400, 39894, 9566, 1211, 3615, 2423, 8961, 39894, 995, 27884, 2423, 11015, 8685, 4724, 1829, 3794, 995, 45865, 3175, 10498, 3732, 18609, 9725, 8978, 426, 6055, 2288, 21292, 3615, 8717, 995, 4587, 9381, 36764, 24401, 15844, 426, 6055, 2288, 21292, 3615, 3175, 18609, 6055, 2288, 21292, 3615, 9725], "avg_logprob": -0.20516826923076922, "compression_ratio": 1.4107142857142858, "no_speech_prob": 0.0, "words": [{"start": 1650.24, "end": 1650.54, "word": "طبعا", "probability": 0.8590087890625}, {"start": 1650.54, "end": 1650.96, "word": " بشتق", "probability": 0.90576171875}, {"start": 1650.96, "end": 1651.5, "word": " المعادلة", "probability": 0.962158203125}, {"start": 1651.5, "end": 1651.92, "word": " هذه", "probability": 0.68701171875}, {"start": 1651.92, "end": 1652.68, "word": " شغل", "probability": 0.8865559895833334}, 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"probability": 0.78466796875}, {"start": 1783.05, "end": 1784.21, "word": " على", "probability": 0.8896484375}, {"start": 1784.21, "end": 1784.93, "word": " N", "probability": 0.873046875}, {"start": 1784.93, "end": 1792.11, "word": " وبرضه", "probability": 0.8858642578125}, {"start": 1792.11, "end": 1792.23, "word": " ال", "probability": 0.92138671875}, {"start": 1792.23, "end": 1792.45, "word": " N", "probability": 0.92529296875}, {"start": 1792.45, "end": 1792.85, "word": " square", "probability": 0.52197265625}], "temperature": 1.0}, {"id": 64, "seek": 182256, "start": 1794.5, "end": 1822.56, "text": "الان سكوير هتكون اكبر بكتير من الواحد يعني ممكن احكي الالفة بتاعة ال connecting rod هتسوى minus omega square sine theta في N تربيع تقريبا في N تربيع على N تربيع أس تلاتة على اتنين", "tokens": [6027, 7649, 8608, 4117, 2407, 13546, 8032, 2655, 30544, 1975, 4117, 26890, 4724, 4117, 2655, 13546, 9154, 2423, 14407, 24401, 37495, 22653, 3714, 43020, 1975, 5016, 4117, 1829, 2423, 6027, 5172, 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{"start": 1854.67, "end": 1855.09, "word": " هتكون", "probability": 0.8986002604166666}, {"start": 1855.09, "end": 1855.49, "word": " omega", "probability": 0.6826171875}, {"start": 1855.49, "end": 1855.95, "word": " cosine", "probability": 0.6689453125}, {"start": 1855.95, "end": 1856.39, "word": " theta", "probability": 0.4326171875}, {"start": 1856.39, "end": 1856.69, "word": " على", "probability": 0.841796875}, {"start": 1856.69, "end": 1856.99, "word": " n", "probability": 0.564453125}, {"start": 1856.99, "end": 1858.13, "word": " تقريبا", "probability": 0.98994140625}, {"start": 1858.13, "end": 1858.95, "word": " و", "probability": 0.6630859375}, {"start": 1858.95, "end": 1859.41, "word": " alpha", "probability": 0.47314453125}, {"start": 1859.41, "end": 1860.41, "word": " alpha", "probability": 0.34033203125}, {"start": 1860.41, "end": 1862.87, "word": " لل", "probability": 0.4365234375}, {"start": 1862.87, "end": 1863.29, "word": " connecting", "probability": 0.78466796875}, {"start": 1863.29, "end": 1863.61, "word": " rod", "probability": 0.919921875}, {"start": 1863.61, "end": 1864.01, "word": " بيصبح", "probability": 0.6326904296875}, {"start": 1864.01, "end": 1864.27, "word": " minus", "probability": 0.85400390625}, {"start": 1864.27, "end": 1864.61, "word": " omega", "probability": 0.8447265625}, {"start": 1864.61, "end": 1865.01, "word": " square", "probability": 0.5966796875}, {"start": 1865.01, "end": 1865.35, "word": " sine", "probability": 0.72802734375}, {"start": 1865.35, "end": 1865.65, "word": " theta", "probability": 0.779296875}, {"start": 1865.65, "end": 1865.81, "word": " على", "probability": 0.8349609375}, {"start": 1865.81, "end": 1866.07, "word": " n", "probability": 0.833984375}, {"start": 1866.07, "end": 1866.69, "word": " واضح", "probability": 0.9596354166666666}, {"start": 1866.69, "end": 1866.81, "word": " ان", "probability": 0.66748046875}, {"start": 1866.81, "end": 1867.09, "word": " هذه", "probability": 0.473388671875}, {"start": 1867.09, "end": 1867.73, "word": " هي", "probability": 0.9228515625}, {"start": 1867.73, "end": 1868.01, "word": " يعني", "probability": 0.614990234375}, {"start": 1868.01, "end": 1868.49, "word": " طريقة", "probability": 0.9698893229166666}, {"start": 1868.49, "end": 1869.25, "word": " تحليلية", "probability": 0.9439453125}, {"start": 1869.25, "end": 1870.11, "word": " تقريبية", "probability": 0.958984375}, {"start": 1870.11, "end": 1870.35, "word": " يعني", "probability": 0.880126953125}, {"start": 1870.35, "end": 1870.67, "word": " احنا", "probability": 0.95458984375}, {"start": 1870.67, "end": 1871.75, "word": " طريقة", "probability": 0.9910481770833334}, {"start": 1871.75, "end": 1872.59, "word": " تحليلية", "probability": 0.975390625}, {"start": 1872.59, "end": 1873.19, "word": " تقريبية", "probability": 0.97373046875}, {"start": 1873.19, "end": 1873.31, "word": " و", "probability": 0.6083984375}, {"start": 1873.31, "end": 1873.55, "word": " الهدف", "probability": 0.9091796875}, {"start": 1873.55, "end": 1874.23, "word": " تبسيط", "probability": 0.985546875}, {"start": 1874.23, "end": 1875.19, "word": " المعدلات", "probability": 0.887451171875}, {"start": 1875.19, "end": 1876.03, "word": " بدون", "probability": 0.99267578125}, {"start": 1876.03, "end": 1876.17, "word": " ما", "probability": 0.85400390625}, {"start": 1876.17, "end": 1876.41, "word": " يكون", "probability": 0.981201171875}, {"start": 1876.41, "end": 1876.77, "word": " نسبة", "probability": 0.9754231770833334}, {"start": 1876.77, "end": 1877.13, "word": " خطأ", "probability": 0.9879557291666666}, {"start": 1877.13, "end": 1877.83, "word": " يعني", "probability": 0.927490234375}, {"start": 1877.83, "end": 1878.25, "word": " بحيث", "probability": 0.9779052734375}, {"start": 1878.25, "end": 1878.59, "word": " الخطأ", "probability": 0.8831380208333334}, {"start": 1878.59, "end": 1878.85, "word": " نسبة", "probability": 0.8981119791666666}, {"start": 1878.85, "end": 1878.99, "word": " 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"probability": 0.87939453125}, {"start": 1887.42, "end": 1887.78, "word": " لل", "probability": 0.80126953125}, {"start": 1887.78, "end": 1888.3, "word": " slider", "probability": 0.404541015625}, {"start": 1888.3, "end": 1889.86, "word": " وطريقة", "probability": 0.850830078125}, {"start": 1889.86, "end": 1891.14, "word": " التحليلية", "probability": 0.96279296875}, {"start": 1891.14, "end": 1892.62, "word": " التقريبية", "probability": 0.96259765625}, {"start": 1892.62, "end": 1893.86, "word": " لحساب", "probability": 0.98388671875}, {"start": 1893.86, "end": 1894.18, "word": " ال", "probability": 0.75634765625}, {"start": 1894.18, "end": 1894.54, "word": " angular", "probability": 0.5673828125}, {"start": 1894.54, "end": 1895.24, "word": " velocity", "probability": 0.89013671875}, {"start": 1895.24, "end": 1895.38, "word": " و", "probability": 0.83154296875}, {"start": 1895.38, "end": 1895.42, "word": " ال", "probability": 0.59228515625}, {"start": 1895.42, "end": 1895.6, "word": " 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connecting rod بتساوي minus omega square sine theta على N", "tokens": [20498, 1829, 7435, 995, 39894, 995, 27884, 2423, 11015, 8685, 39894, 3794, 995, 45865, 10498, 23565, 9725, 15844, 426, 6055, 4587, 16572, 3555, 995, 23032, 3555, 3615, 995, 16070, 6027, 5172, 3660, 39894, 995, 27884, 2423, 11015, 8685, 39894, 3794, 995, 45865, 3175, 10498, 3732, 18609, 9725, 15844, 426], "avg_logprob": -0.25968748569488526, "compression_ratio": 1.5419847328244274, "no_speech_prob": 0.0, "words": [{"start": 1915.09, "end": 1915.55, "word": "وميجا", "probability": 0.71038818359375}, {"start": 1915.55, "end": 1915.79, "word": " بتاعة", "probability": 0.664794921875}, {"start": 1915.79, "end": 1915.95, "word": " ال", "probability": 0.9794921875}, {"start": 1915.95, "end": 1916.31, "word": " connecting", "probability": 0.73193359375}, {"start": 1916.31, "end": 1916.69, "word": " rod", "probability": 0.87060546875}, {"start": 1916.69, "end": 1920.83, "word": " بتساوي", "probability": 0.8778076171875}, {"start": 1920.83, "end": 1922.85, "word": " omega", "probability": 0.25439453125}, {"start": 1922.85, "end": 1924.41, "word": " cosine", "probability": 0.57861328125}, {"start": 1924.41, "end": 1925.91, "word": " theta", "probability": 0.54345703125}, {"start": 1925.91, "end": 1927.13, "word": " على", "probability": 0.6357421875}, {"start": 1927.13, "end": 1927.51, "word": " N", "probability": 0.4365234375}, {"start": 1927.51, "end": 1928.49, "word": " تقريبا", "probability": 0.97861328125}, {"start": 1928.49, "end": 1928.97, "word": " طبعا", "probability": 0.940185546875}, {"start": 1928.97, "end": 1930.09, "word": " والالفة", "probability": 0.675323486328125}, {"start": 1930.09, "end": 1930.33, "word": " بتاعة", "probability": 0.8981119791666666}, {"start": 1930.33, "end": 1930.51, "word": " ال", "probability": 0.9833984375}, {"start": 1930.51, "end": 1930.91, "word": " connecting", "probability": 0.91845703125}, {"start": 1930.91, "end": 1931.35, "word": " rod", "probability": 0.94677734375}, {"start": 1931.35, "end": 1932.99, "word": " بتساوي", "probability": 0.9473876953125}, {"start": 1932.99, "end": 1934.57, "word": " minus", "probability": 0.87060546875}, {"start": 1934.57, "end": 1935.21, "word": " omega", "probability": 0.8203125}, {"start": 1935.21, "end": 1935.81, "word": " square", "probability": 0.75}, {"start": 1935.81, "end": 1937.43, "word": " sine", "probability": 0.66064453125}, {"start": 1937.43, "end": 1937.97, "word": " theta", "probability": 0.8525390625}, {"start": 1937.97, "end": 1940.33, "word": " على", "probability": 0.8662109375}, {"start": 1940.33, "end": 1942.11, "word": " N", "probability": 0.9296875}], "temperature": 1.0}, {"id": 69, "seek": 196666, "start": 1951.7, "end": 1966.66, "text": "نحل مثلًا if the crank and connecting rod", "tokens": [1863, 5016, 1211, 50113, 1211, 14111, 995, 498, 264, 21263, 293, 11015, 8685], "avg_logprob": -0.41685269134385244, "compression_ratio": 0.8448275862068966, "no_speech_prob": 0.0, "words": 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L على R هتكون سوء الف ع تلتمية يعني عشرة", "tokens": [351, 264, 21263, 293, 11015, 8685, 366, 1045, 3262, 24388, 293, 472, 4714, 24388, 938, 37495, 22653, 9673, 3615, 9566, 9957, 33251, 2288, 7649, 4117, 2423, 497, 6055, 1211, 2655, 2304, 10632, 3714, 1829, 20292, 2304, 36081, 2288, 4032, 41950, 12610, 2423, 11015, 8685, 9673, 3615, 9566, 9957, 1829, 11296, 27188, 3714, 1829, 20292, 2304, 36081, 2288, 20449, 8315, 47395, 2423, 426, 13672, 1829, 39896, 441, 15844, 497, 8032, 2655, 30544, 8608, 2407, 38207, 27188, 6225, 6055, 1211, 2655, 2304, 10632, 37495, 22653, 6225, 8592, 25720], "avg_logprob": -0.2735273077570159, "compression_ratio": 1.710144927536232, "no_speech_prob": 0.0, "words": [{"start": 1970.61, "end": 1970.93, "word": "if", "probability": 0.281982421875}, {"start": 1970.93, "end": 1971.15, "word": " the", "probability": 0.89453125}, {"start": 1971.15, "end": 1971.57, "word": " crank", "probability": 0.86181640625}, {"start": 1971.57, "end": 1971.97, "word": " and", 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"end": 1995.37, "word": " سوء", "probability": 0.7272135416666666}, {"start": 1995.37, "end": 1995.79, "word": " الف", "probability": 0.83154296875}, {"start": 1995.79, "end": 1997.35, "word": " ع", "probability": 0.74560546875}, {"start": 1997.35, "end": 1997.95, "word": " تلتمية", "probability": 0.90498046875}, {"start": 1997.95, "end": 1999.29, "word": " يعني", "probability": 0.90087890625}, {"start": 1999.29, "end": 1999.79, "word": " عشرة", "probability": 0.9156901041666666}], "temperature": 1.0}, {"id": 71, "seek": 202797, "start": 2001.37, "end": 2027.97, "text": "على تلاتة طيب and the crank rotates at a constant speed of two hundred rpm والسرعة الزاوية الان للكرانك متين rpm معناة ال omega هتكون متين في اتنين by على ستين", "tokens": [3615, 23942, 6055, 1211, 9307, 3660, 23032, 1829, 3555, 293, 264, 21263, 42133, 412, 257, 5754, 3073, 295, 732, 3262, 47071, 16070, 3794, 2288, 27884, 6024, 110, 995, 2407, 10632, 2423, 7649, 5296, 23275, 2288, 7649, 4117, 44650, 9957, 47071, 20449, 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"end": 2008.05, "word": " constant", "probability": 0.931640625}, {"start": 2008.05, "end": 2008.67, "word": " speed", "probability": 0.92041015625}, {"start": 2008.67, "end": 2008.97, "word": " of", "probability": 0.9755859375}, {"start": 2008.97, "end": 2009.47, "word": " two", "probability": 0.53955078125}, {"start": 2009.47, "end": 2009.81, "word": " hundred", "probability": 0.9208984375}, {"start": 2009.81, "end": 2010.43, "word": " rpm", "probability": 0.830078125}, {"start": 2010.43, "end": 2012.15, "word": " والسرعة", "probability": 0.8634033203125}, {"start": 2012.15, "end": 2012.75, "word": " الزاوية", "probability": 0.95439453125}, {"start": 2012.75, "end": 2013.37, "word": " الان", "probability": 0.47314453125}, {"start": 2013.37, "end": 2015.47, "word": " للكرانك", "probability": 0.737744140625}, {"start": 2015.47, "end": 2017.29, "word": " متين", "probability": 0.883544921875}, {"start": 2017.29, "end": 2019.57, "word": " rpm", "probability": 0.744140625}, {"start": 2019.57, "end": 2021.41, "word": " معناة", "probability": 0.7515462239583334}, {"start": 2021.41, "end": 2021.57, "word": " ال", "probability": 0.76806640625}, {"start": 2021.57, "end": 2021.91, "word": " omega", "probability": 0.30078125}, {"start": 2021.91, "end": 2022.83, "word": " هتكون", "probability": 0.9684244791666666}, {"start": 2022.83, "end": 2023.45, "word": " متين", "probability": 0.9208984375}, {"start": 2023.45, "end": 2024.93, "word": " في", "probability": 0.271728515625}, {"start": 2024.93, "end": 2025.31, "word": " اتنين", "probability": 0.9498291015625}, {"start": 2025.31, "end": 2025.69, "word": " by", "probability": 0.362548828125}, {"start": 2025.69, "end": 2027.43, "word": " على", "probability": 0.75830078125}, {"start": 2027.43, "end": 2027.97, "word": " ستين", "probability": 0.9734700520833334}], "temperature": 1.0}, {"id": 72, "seek": 206359, "start": 2036.37, "end": 2063.59, "text": "يعني هتكون تساوي عشرين باي على تلاتة radians per second هذا المعطيات determine the crank angle at which maximum velocity occurs", "tokens": [40228, 22653, 8032, 2655, 30544, 6055, 3794, 995, 45865, 6225, 46309, 9957, 4724, 47302, 15844, 6055, 1211, 9307, 3660, 2843, 2567, 680, 1150, 23758, 9673, 3615, 9566, 1829, 9307, 6997, 264, 21263, 5802, 412, 597, 6674, 9269, 11843], "avg_logprob": -0.2095352556460943, "compression_ratio": 1.1830985915492958, "no_speech_prob": 0.0, "words": [{"start": 2036.37, "end": 2036.63, "word": "يعني", "probability": 0.851806640625}, {"start": 2036.63, "end": 2036.95, "word": " هتكون", "probability": 0.8626302083333334}, {"start": 2036.95, "end": 2037.53, "word": " تساوي", "probability": 0.8714599609375}, {"start": 2037.53, "end": 2040.47, "word": " عشرين", "probability": 0.8917643229166666}, {"start": 2040.47, "end": 2041.51, "word": " باي", "probability": 0.430908203125}, {"start": 2041.51, "end": 2044.97, "word": " على", "probability": 0.50439453125}, {"start": 2044.97, "end": 2045.99, "word": " تلاتة", "probability": 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2093.76, "word": " او", "probability": 0.96435546875}, {"start": 2093.76, "end": 2094.12, "word": " minimum", "probability": 0.96875}, {"start": 2094.12, "end": 2095.2, "word": " بتكون", "probability": 0.97314453125}, {"start": 2095.2, "end": 2095.3, "word": " ال", "probability": 0.849609375}, {"start": 2095.3, "end": 2095.6, "word": " acceleration", "probability": 0.90380859375}, {"start": 2095.6, "end": 2095.96, "word": " بتساوي", "probability": 0.9132080078125}, {"start": 2095.96, "end": 2096.18, "word": " zero", "probability": 0.7802734375}, {"start": 2096.18, "end": 2096.48, "word": " يعني", "probability": 0.7529296875}, {"start": 2096.48, "end": 2097.8, "word": " ال", "probability": 0.88427734375}, {"start": 2097.8, "end": 2098.58, "word": " velocity", "probability": 0.919921875}, {"start": 2098.58, "end": 2099.82, "word": " of", "probability": 0.9716796875}, {"start": 2099.82, "end": 2100.34, "word": " piston", "probability": 0.80859375}, {"start": 2100.34, "end": 2103.98, 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2302.74, "end": 2304.24, "word": " يعني", "probability": 0.93701171875}, {"start": 2304.24, "end": 2304.8, "word": " اتوقع", "probability": 0.909912109375}, {"start": 2304.8, "end": 2304.98, "word": " انكم", "probability": 0.502197265625}, {"start": 2304.98, "end": 2305.28, "word": " حلوا", "probability": 0.9479166666666666}, {"start": 2305.28, "end": 2305.7, "word": " المعادلة", "probability": 0.85784912109375}, {"start": 2305.7, "end": 2306.14, "word": " هذه", "probability": 0.86962890625}, {"start": 2306.14, "end": 2307.36, "word": " بعدين", "probability": 0.5859375}, {"start": 2307.36, "end": 2307.58, "word": " اعوضوا", "probability": 0.8712890625}, {"start": 2307.58, "end": 2307.64, "word": " في", "probability": 0.88623046875}, {"start": 2307.64, "end": 2307.9, "word": " المعادلة", "probability": 0.9708251953125}, {"start": 2307.9, "end": 2308.06, "word": " هذه", "probability": 0.70068359375}, {"start": 2308.06, "end": 2308.26, "word": " عشان", "probability": 0.9127604166666666}, 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"end": 2335.5, "word": " meters", "probability": 0.431884765625}, {"start": 2335.5, "end": 2335.76, "word": " and", "probability": 0.83203125}, {"start": 2335.76, "end": 2335.98, "word": " one", "probability": 0.89013671875}, {"start": 2335.98, "end": 2336.14, "word": " point", "probability": 0.9677734375}, {"start": 2336.14, "end": 2336.4, "word": " five", "probability": 0.91943359375}, {"start": 2336.4, "end": 2336.74, "word": " meters", "probability": 0.86376953125}, {"start": 2336.74, "end": 2336.92, "word": " in", "probability": 0.94287109375}, {"start": 2336.92, "end": 2337.22, "word": " length", "probability": 0.8154296875}, {"start": 2337.22, "end": 2337.78, "word": " معطيني", "probability": 0.7166748046875}, {"start": 2337.78, "end": 2338.02, "word": " ال", "probability": 0.71533203125}, {"start": 2338.02, "end": 2338.42, "word": " crank", "probability": 0.9267578125}, {"start": 2338.42, "end": 2338.92, "word": " R", "probability": 0.325927734375}, {"start": 2338.92, "end": 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0.66748046875}, {"start": 2360.32, "end": 2360.86, "word": " rpm", "probability": 0.75048828125}, {"start": 2360.86, "end": 2361.6, "word": " clockwise", "probability": 0.8134765625}, {"start": 2361.6, "end": 2362.82, "word": " بالدور", "probability": 0.7350260416666666}, {"start": 2362.82, "end": 2364.22, "word": " N", "probability": 0.57666015625}, {"start": 2364.22, "end": 2365.38, "word": " مية", "probability": 0.9072265625}, {"start": 2365.38, "end": 2365.46, "word": " و", "probability": 0.857421875}, {"start": 2365.46, "end": 2366.08, "word": " تمانين", "probability": 0.9431966145833334}, {"start": 2366.08, "end": 2367.74, "word": " revolution", "probability": 0.9013671875}, {"start": 2367.74, "end": 2368.22, "word": " per", "probability": 0.94970703125}, {"start": 2368.22, "end": 2368.56, "word": " minute", "probability": 0.94677734375}], "temperature": 1.0}, {"id": 84, "seek": 238057, "start": 2369.25, "end": 2380.57, "text": "معناة الاميجيا هتكون تسوى مية و تمانين فى اتنين باى على ستين تسوى ستة باى radians per second", "tokens": [2304, 3615, 8315, 3660, 2423, 10943, 1829, 7435, 25528, 8032, 2655, 30544, 6055, 3794, 2407, 7578, 3714, 10632, 4032, 46811, 7649, 9957, 6156, 7578, 1975, 2655, 1863, 9957, 4724, 995, 7578, 15844, 8608, 2655, 9957, 6055, 3794, 2407, 7578, 8608, 2655, 3660, 4724, 995, 7578, 2843, 2567, 680, 1150], "avg_logprob": -0.31343748927116394, "compression_ratio": 1.3130434782608695, "no_speech_prob": 0.0, "words": [{"start": 2369.25, "end": 2369.71, "word": "معناة", "probability": 0.73583984375}, {"start": 2369.71, "end": 2370.23, "word": " الاميجيا", "probability": 0.5997802734375}, {"start": 2370.23, "end": 2370.57, "word": " هتكون", "probability": 0.8525390625}, {"start": 2370.57, "end": 2370.87, "word": " تسوى", "probability": 0.5970458984375}, {"start": 2370.87, "end": 2371.15, "word": " مية", "probability": 0.75537109375}, {"start": 2371.15, "end": 2371.23, "word": " و", "probability": 0.86767578125}, {"start": 2371.23, "end": 2371.87, 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{"id": 85, "seek": 240962, "start": 2382.26, "end": 2409.62, "text": "Determine velocity and acceleration of piston when the crank is at 4 degrees from inner dead center يعني ثيتا بسوء أربعين درجة احسب ال velocity ال velocity ده هي عندي ال V بتاعة ال piston بسوء Omega R Omega R اللي احنا حسبنا هو Omega اللي هي ستة باى في ال R اللي هي", "tokens": [35, 35344, 533, 9269, 293, 17162, 295, 30002, 562, 264, 21263, 307, 412, 1017, 5310, 490, 7284, 3116, 3056, 37495, 22653, 38637, 36081, 995, 4724, 3794, 2407, 38207, 5551, 25513, 3615, 9957, 11778, 47341, 3660, 1975, 5016, 35457, 2423, 9269, 2423, 9269, 11778, 3224, 39896, 18871, 16254, 2423, 691, 39894, 995, 27884, 2423, 30002, 4724, 3794, 2407, 38207, 27645, 497, 27645, 497, 13672, 1829, 1975, 5016, 8315, 11331, 35457, 8315, 31439, 27645, 13672, 1829, 39896, 8608, 2655, 3660, 4724, 995, 7578, 8978, 2423, 497, 13672, 1829, 39896], "avg_logprob": -0.3071732951158827, "compression_ratio": 1.5758928571428572, "no_speech_prob": 0.0, "words": 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the length of the crank in a slider crank mechanism the length of the crank and correcting rod are one hundred fifty and six hundred millimeters respectively معطي يعني في slider crank ال R بتاعة الكرانك مية و خمسين ميلي متر وال L ستمية ميلي متر معناته ال N هتكون automatic L على R", "tokens": [351, 257, 26046, 21263, 7513, 294, 257, 26046, 21263, 7513, 264, 4641, 295, 264, 21263, 294, 257, 26046, 21263, 7513, 264, 4641, 295, 264, 21263, 293, 47032, 8685, 366, 472, 3262, 13442, 293, 2309, 3262, 24388, 25009, 20449, 9566, 1829, 37495, 22653, 8978, 26046, 21263, 2423, 497, 39894, 995, 27884, 33251, 2288, 7649, 4117, 3714, 10632, 4032, 16490, 2304, 3794, 9957, 3714, 1829, 20292, 44650, 2288, 16070, 441, 8608, 39237, 10632, 3714, 1829, 20292, 44650, 2288, 20449, 8315, 47395, 2423, 426, 8032, 2655, 30544, 12509, 441, 15844, 497], "avg_logprob": -0.2686095559195186, "compression_ratio": 1.7619047619047619, "no_speech_prob": 0.0, "words": [{"start": 2602.65, "end": 2602.97, "word": "if", 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ال acceleration للبستون هتكون omega square r في cosine theta زائد cosine two theta", "tokens": [11622, 16373, 3215, 20328, 9957, 9673, 10632, 4032, 3615, 46309, 9957, 15844, 5551, 25513, 27884, 4032, 27842, 11296, 4724, 5016, 35457, 2423, 20666, 1829, 14851, 1829, 24976, 3555, 14851, 11536, 2423, 17162, 24976, 3555, 14851, 11536, 8032, 2655, 30544, 10498, 3732, 367, 8978, 23565, 9725, 30767, 16373, 3215, 23565, 732, 9725], "avg_logprob": -0.35486778101095784, "compression_ratio": 1.423841059602649, "no_speech_prob": 2.2649765014648438e-06, "words": [{"start": 2720.5, "end": 2721.12, "word": "زائد", "probability": 0.6812337239583334}, {"start": 2721.12, "end": 2721.7, "word": " صين", "probability": 0.5675048828125}, {"start": 2721.7, "end": 2722.72, "word": " المية", "probability": 0.379150390625}, {"start": 2722.72, "end": 2723.42, "word": " وعشرين", "probability": 0.866943359375}, {"start": 2723.42, "end": 2724.14, "word": " على", "probability": 0.58837890625}, {"start": 2724.14, 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{"start": 2743.24, "end": 2743.36, "word": " هي", "probability": 0.9072265625}, {"start": 2743.36, "end": 2744.12, "word": " خمستاشر", "probability": 0.839111328125}, {"start": 2744.12, "end": 2744.5, "word": " by", "probability": 0.501953125}, {"start": 2744.5, "end": 2746.34, "word": " تربيع", "probability": 0.8265380859375}, {"start": 2746.34, "end": 2747.38, "word": " في", "probability": 0.82568359375}, {"start": 2747.38, "end": 2747.52, "word": " ال", "probability": 0.9140625}, {"start": 2747.52, "end": 2747.72, "word": " R", "probability": 0.521484375}, {"start": 2747.72, "end": 2747.84, "word": " اللي", "probability": 0.731689453125}, {"start": 2747.84, "end": 2747.94, "word": " هي", "probability": 0.82666015625}, {"start": 2747.94, "end": 2748.24, "word": " point", "probability": 0.740234375}, {"start": 2748.24, "end": 2748.74, "word": " واحد", "probability": 0.979736328125}, {"start": 2748.74, "end": 2749.62, "word": " خمسة", "probability": 0.9605712890625}, {"start": 2749.62, "end": 2750.4, "word": " في", "probability": 0.91943359375}, {"start": 2750.4, "end": 2750.88, "word": " cosine", "probability": 0.58740234375}, {"start": 2750.88, "end": 2752.14, "word": " الستين", "probability": 0.7737630208333334}, {"start": 2752.14, "end": 2753.4, "word": " زائد", "probability": 0.8736979166666666}, {"start": 2753.4, "end": 2754.04, "word": " cosine", "probability": 0.82275390625}, {"start": 2754.04, "end": 2755.06, "word": " المية", "probability": 0.815185546875}, {"start": 2755.06, "end": 2755.84, "word": " وعشرين", "probability": 0.911376953125}, {"start": 2755.84, "end": 2756.7, "word": " على", "probability": 0.86865234375}, {"start": 2756.7, "end": 2758.82, "word": " أربعة", "probability": 0.78515625}, {"start": 2758.82, "end": 2767.14, "word": " طيب", "probability": 0.9679361979166666}, {"start": 2767.14, "end": 2767.68, "word": " هذا", "probability": 0.6748046875}, {"start": 2767.68, "end": 2767.94, "word": " المطلوب", "probability": 0.8709716796875}, {"start": 2767.94, "end": 2768.04, "word": " أو", "probability": 0.40673828125}, {"start": 2768.04, "end": 2768.38, "word": " المطلوب", "probability": 0.96533203125}, {"start": 2768.38, "end": 2768.84, "word": " التاني", "probability": 0.9607747395833334}], "temperature": 1.0}, {"id": 100, "seek": 278907, "start": 2769.95, "end": 2789.07, "text": "Angular velocity and angular acceleration of the connecting rod السرعة الزاوية العادية الزاوية لل connecting rod ال angular velocity لل connecting rod او ال connecting rod اميجا لل connecting rod اللي هي اميجا كساين ثيتا على ان يعني هتكون عندي اميجا", "tokens": [23156, 1040, 9269, 293, 24413, 17162, 295, 264, 11015, 8685, 2423, 3794, 2288, 27884, 6024, 110, 995, 2407, 10632, 18863, 18513, 10632, 6024, 110, 995, 2407, 10632, 24976, 11015, 8685, 2423, 2562, 84, 2200, 9269, 24976, 11015, 8685, 1975, 2407, 2423, 11015, 8685, 1975, 2304, 1829, 7435, 995, 24976, 11015, 8685, 13672, 1829, 39896, 1975, 2304, 1829, 7435, 995, 9122, 3794, 995, 9957, 38637, 36081, 995, 15844, 16472, 37495, 22653, 8032, 2655, 30544, 18871, 16254, 1975, 2304, 1829, 7435, 995], "avg_logprob": -0.3493441475762261, "compression_ratio": 1.9764705882352942, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2769.95, "end": 2770.43, "word": "Angular", "probability": 0.47607421875}, {"start": 2770.43, "end": 2770.77, "word": " velocity", "probability": 0.73876953125}, {"start": 2770.77, "end": 2770.95, "word": " and", "probability": 0.92333984375}, {"start": 2770.95, "end": 2771.19, "word": " angular", "probability": 0.7666015625}, {"start": 2771.19, "end": 2771.59, "word": " acceleration", "probability": 0.9111328125}, {"start": 2771.59, "end": 2771.85, "word": " of", "probability": 0.96142578125}, {"start": 2771.85, "end": 2772.01, "word": " the", "probability": 0.79345703125}, {"start": 2772.01, "end": 2772.29, "word": " connecting", "probability": 0.86962890625}, {"start": 2772.29, "end": 2772.53, "word": " rod", "probability": 0.79150390625}, {"start": 2772.53, "end": 2774.19, "word": " السرعة", "probability": 0.6001739501953125}, {"start": 2774.19, "end": 2774.47, "word": " الزاوية", "probability": 0.89462890625}, {"start": 2774.47, "end": 2774.73, "word": " العادية", "probability": 0.8154296875}, {"start": 2774.73, "end": 2775.03, "word": " الزاوية", "probability": 0.824853515625}, {"start": 2775.03, "end": 2775.15, "word": " لل", "probability": 0.75146484375}, {"start": 2775.15, "end": 2775.49, "word": " connecting", "probability": 0.505859375}, {"start": 2775.49, "end": 2775.85, "word": " rod", "probability": 0.943359375}, {"start": 2775.85, "end": 2778.39, "word": " ال", "probability": 0.2218017578125}, {"start": 2778.39, "end": 2778.73, "word": " angular", "probability": 0.5697428385416666}, {"start": 2778.73, "end": 2778.93, "word": " velocity", "probability": 0.88525390625}, {"start": 2778.93, "end": 2779.05, "word": " لل", "probability": 0.544921875}, {"start": 2779.05, "end": 2779.23, "word": " connecting", "probability": 0.80078125}, {"start": 2779.23, "end": 2779.43, "word": " rod", "probability": 0.98291015625}, {"start": 2779.43, "end": 2779.63, "word": " او", "probability": 0.632080078125}, {"start": 2779.63, "end": 2779.71, "word": " ال", "probability": 0.44677734375}, {"start": 2779.71, "end": 2779.99, "word": " connecting", "probability": 0.7861328125}, {"start": 2779.99, "end": 2780.23, "word": " rod", "probability": 0.9609375}, {"start": 2780.23, "end": 2780.63, "word": " اميجا", "probability": 0.7189453125}, {"start": 2780.63, "end": 2780.77, "word": " لل", "probability": 0.78515625}, {"start": 2780.77, "end": 2781.17, "word": " connecting", "probability": 0.82275390625}, {"start": 2781.17, "end": 2781.55, "word": " rod", "probability": 0.95751953125}, {"start": 2781.55, "end": 2782.71, "word": " اللي", "probability": 0.6505126953125}, {"start": 2782.71, "end": 2783.03, "word": " هي", "probability": 0.77978515625}, {"start": 2783.03, "end": 2784.27, "word": " اميجا", "probability": 0.9013671875}, {"start": 2784.27, "end": 2785.11, "word": " كساين", "probability": 0.61968994140625}, {"start": 2785.11, "end": 2785.91, "word": " ثيتا", "probability": 0.7018229166666666}, {"start": 2785.91, "end": 2786.35, "word": " على", "probability": 0.828125}, {"start": 2786.35, "end": 2786.67, "word": " ان", "probability": 0.328857421875}, {"start": 2786.67, "end": 2787.63, "word": " يعني", "probability": 0.8818359375}, {"start": 2787.63, "end": 2788.07, "word": " هتكون", "probability": 0.8751627604166666}, {"start": 2788.07, "end": 2788.41, "word": " عندي", "probability": 0.675537109375}, {"start": 2788.41, "end": 2789.07, "word": " اميجا", "probability": 0.96962890625}], "temperature": 1.0}, {"id": 101, "seek": 281366, "start": 2789.82, "end": 2813.66, "text": "اللي هي خمستاشر by في cosine الستين على n اللي هي h أربعة منها بحسب ال omega بتاعة ال connecting rod والالفة بتاعة ال connecting rod هتكون تستوى minus omega square sine theta على h على n هتكون minus", "tokens": [6027, 20292, 39896, 16490, 2304, 14851, 33599, 2288, 538, 8978, 23565, 2423, 14851, 9957, 15844, 297, 13672, 1829, 39896, 276, 5551, 25513, 27884, 9154, 11296, 4724, 5016, 35457, 2423, 10498, 39894, 995, 27884, 2423, 11015, 8685, 16070, 6027, 5172, 3660, 39894, 995, 27884, 2423, 11015, 8685, 8032, 2655, 30544, 6055, 14851, 2407, 7578, 3175, 10498, 3732, 18609, 9725, 15844, 276, 15844, 297, 8032, 2655, 30544, 3175], "avg_logprob": -0.25956156182644974, "compression_ratio": 1.6569767441860466, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2789.82, "end": 2790.12, "word": "اللي", "probability": 0.793212890625}, {"start": 2790.12, "end": 2790.3, "word": " هي", "probability": 0.8935546875}, {"start": 2790.3, "end": 2791.18, "word": " خمستاشر", "probability": 0.87919921875}, {"start": 2791.18, "end": 2791.74, "word": " by", "probability": 0.277587890625}, {"start": 2791.74, "end": 2792.66, "word": " في", "probability": 0.72998046875}, {"start": 2792.66, "end": 2793.2, "word": " cosine", "probability": 0.408447265625}, {"start": 2793.2, "end": 2794.72, "word": " الستين", "probability": 0.7677408854166666}, {"start": 2794.72, "end": 2795.76, "word": " على", "probability": 0.72021484375}, {"start": 2795.76, "end": 2795.98, "word": " n", "probability": 0.345458984375}, {"start": 2795.98, "end": 2796.14, "word": " اللي", "probability": 0.8818359375}, {"start": 2796.14, "end": 2796.32, "word": " هي", "probability": 0.91650390625}, {"start": 2796.32, "end": 2796.64, "word": " h", "probability": 0.431396484375}, {"start": 2796.64, "end": 2797.22, "word": " أربعة", "probability": 0.7945963541666666}, {"start": 2797.22, "end": 2797.72, "word": " منها", "probability": 0.72216796875}, {"start": 2797.72, "end": 2798.22, "word": " بحسب", "probability": 0.9705403645833334}, {"start": 2798.22, "end": 2799.06, "word": " ال", "probability": 0.88232421875}, {"start": 2799.06, "end": 2799.3, "word": " omega", "probability": 0.342529296875}, {"start": 2799.3, "end": 2799.54, "word": " بتاعة", "probability": 0.7804361979166666}, {"start": 2799.54, "end": 2799.68, "word": " ال", "probability": 0.9736328125}, {"start": 2799.68, "end": 2800.0, "word": " connecting", "probability": 0.935546875}, {"start": 2800.0, "end": 2800.28, "word": " rod", "probability": 0.939453125}, {"start": 2800.28, "end": 2801.58, "word": " والالفة", "probability": 0.7105712890625}, {"start": 2801.58, "end": 2801.78, "word": " بتاعة", "probability": 0.9020182291666666}, {"start": 2801.78, "end": 2801.94, "word": " ال", "probability": 0.9853515625}, {"start": 2801.94, "end": 2802.3, "word": " connecting", "probability": 0.93017578125}, {"start": 2802.3, "end": 2802.74, "word": " rod", "probability": 0.97412109375}, {"start": 2802.74, "end": 2803.3, "word": " هتكون", "probability": 0.9275716145833334}, {"start": 2803.3, "end": 2803.72, "word": " تستوى", "probability": 0.757080078125}, {"start": 2803.72, "end": 2804.3, "word": " minus", "probability": 0.9423828125}, {"start": 2804.3, "end": 2804.8, "word": " omega", "probability": 0.755859375}, {"start": 2804.8, "end": 2805.42, "word": " square", "probability": 0.587890625}, {"start": 2805.42, "end": 2806.46, "word": " sine", "probability": 0.53125}, {"start": 2806.46, "end": 2807.0, "word": " theta", "probability": 0.6845703125}, {"start": 2807.0, "end": 2808.88, "word": " على", "probability": 0.8583984375}, {"start": 2808.88, "end": 2809.32, "word": " h", "probability": 0.9580078125}, {"start": 2809.32, "end": 2810.6, "word": " على", "probability": 0.8818359375}, {"start": 2810.6, "end": 2811.08, "word": " n", "probability": 0.93896484375}, {"start": 2811.08, "end": 2813.02, "word": " هتكون", "probability": 0.9602864583333334}, {"start": 2813.02, "end": 2813.66, "word": " minus", "probability": 0.97607421875}], "temperature": 1.0}, {"id": 102, "seek": 283681, "start": 2815.49, "end": 2836.81, "text": "اللي هي خمستاشر باى تربيع ساين الستين على أربعة و أنا بحسب إيش الألفة طيب المحاضرة الجاية بنكمل", "tokens": [6027, 20292, 39896, 16490, 2304, 14851, 33599, 2288, 4724, 995, 7578, 6055, 2288, 21292, 3615, 8608, 995, 9957, 21136, 2655, 9957, 15844, 5551, 25513, 27884, 4032, 41850, 4724, 5016, 35457, 11933, 1829, 8592, 16247, 46538, 3660, 23032, 1829, 3555, 9673, 5016, 46958, 25720, 25724, 995, 10632, 44945, 24793, 1211], "avg_logprob": -0.28781248688697814, "compression_ratio": 1.453781512605042, "no_speech_prob": 0.00025725364685058594, "words": [{"start": 2815.49, "end": 2815.85, "word": "اللي", "probability": 0.94189453125}, {"start": 2815.85, "end": 2816.17, "word": " هي", "probability": 0.89892578125}, {"start": 2816.17, "end": 2817.27, "word": " خمستاشر", "probability": 0.918359375}, {"start": 2817.27, "end": 2818.59, "word": " باى", "probability": 0.484375}, {"start": 2818.59, "end": 2819.71, "word": " تربيع", "probability": 0.813720703125}, {"start": 2819.71, "end": 2820.81, "word": " ساين", "probability": 0.675048828125}, {"start": 2820.81, "end": 2821.71, "word": " الستين", "probability": 0.7775065104166666}, {"start": 2821.71, "end": 2823.57, "word": " على", "probability": 0.6806640625}, {"start": 2823.57, "end": 2824.27, "word": " أربعة", "probability": 0.86181640625}, {"start": 2824.27, "end": 2827.79, "word": " و", "probability": 0.9267578125}, {"start": 2827.79, "end": 2827.89, "word": " أنا", "probability": 0.58935546875}, {"start": 2827.89, "end": 2828.51, "word": " بحسب", "probability": 0.9444986979166666}, {"start": 2828.51, "end": 2829.07, "word": " إيش", "probability": 0.7313639322916666}, {"start": 2829.07, "end": 2830.25, "word": " الألفة", "probability": 0.7958170572916666}, {"start": 2830.25, "end": 2833.81, "word": " طيب", "probability": 0.9182942708333334}, {"start": 2833.81, "end": 2835.71, "word": " المحاضرة", "probability": 0.9000244140625}, {"start": 2835.71, "end": 2836.07, "word": " الجاية", "probability": 0.6551106770833334}, {"start": 2836.07, "end": 2836.81, "word": " بنكمل", "probability": 0.8517252604166666}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2837.87325, "duration_after_vad": 2539.3206249999926}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vONhwXNiXVE_raw.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vONhwXNiXVE_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2428184452ca4a57f6bcd7d29ce2288189ac8a31
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vONhwXNiXVE_raw.srt
@@ -0,0 +1,1640 @@
+1
+00:00:04,910 --> 00:00:07,970
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,970 --> 00:00:13,750
+وبركاته لان هنستقنف المحاضرات في مادة نظرية الآلات
+
+3
+00:00:13,750 --> 00:00:17,330
+اللي هو هنتقل على شبتر جديد اللي هي حسابات ال
+
+4
+00:00:17,330 --> 00:00:22,330
+inertia forces in reciprocating partsو هنركز على
+
+5
+00:00:22,330 --> 00:00:25,830
+ال respocating هنركز على ال slotted crank
+
+6
+00:00:25,830 --> 00:00:31,190
+mechanism لأنه هي الميكانيزم المستخدمة في المحركات
+
+7
+00:00:31,190 --> 00:00:35,850
+وبالتالي تستحق أن نبذل فيها جهد و تفصيل في
+
+8
+00:00:35,850 --> 00:00:41,870
+حساباتها الآن هنشوف ال analytical method لحسابات
+
+9
+00:00:41,870 --> 00:00:46,610
+ال position و displacement و ال acceleration لأن
+
+10
+00:00:46,610 --> 00:00:49,170
+عندي هنا slotted crank mechanism هاي ال crank
+
+11
+00:00:53,580 --> 00:01:01,160
+هذا الـ crank هذا نقطة A هذا
+
+12
+00:01:01,160 --> 00:01:12,520
+الـ C وعندى ال piston هذا ال connecting rod عندى
+
+13
+00:01:12,520 --> 00:01:13,180
+هنا ال piston
+
+14
+00:01:25,420 --> 00:01:32,140
+الان ال crank بتلف باتجاه عقارب الساعة يعني ال
+
+15
+00:01:32,140 --> 00:01:38,440
+rotation بتجاه عقارب الساعة في لحظة معينة ال crank
+
+16
+00:01:38,440 --> 00:01:44,580
+كانت عاملة زاوية theta مع
+
+17
+00:01:44,580 --> 00:01:49,580
+الأفق و ال
+
+18
+00:01:49,580 --> 00:01:54,600
+connecting rod عامل زاوية five
+
+19
+00:01:57,890 --> 00:02:03,050
+الان في خلينا نتعرف على نقطتين أساسية لما يكون OC
+
+20
+00:02:03,050 --> 00:02:10,650
+في ال position هذا يعني عند C' هذا C' يكون على
+
+21
+00:02:10,650 --> 00:02:20,570
+امتداد connecting road يعني عند P' هذا P' بسميها
+
+22
+00:02:20,570 --> 00:02:23,790
+top dead center
+
+23
+00:02:25,820 --> 00:02:32,760
+او في كتب يسموها ال inner dead center لما تكون
+
+24
+00:02:32,760 --> 00:02:42,400
+نقطة C عن نقطة C prime C double prime ال piston
+
+25
+00:02:42,400 --> 00:02:49,660
+هيكون هناعند النقطة C W' بنسميه الـ Bottom Dead
+
+26
+00:02:49,660 --> 00:02:53,060
+Center
+
+27
+00:02:53,060 --> 00:02:57,040
+أو في كتب يسمونه الـ Outer Dead Center أنا بفضل
+
+28
+00:02:57,040 --> 00:03:00,720
+أسميه Top Dead Center و Bottom Dead Center
+
+29
+00:03:09,340 --> 00:03:17,060
+يعني هاد ال bottom dead center والمسافة بين ال top
+
+30
+00:03:17,060 --> 00:03:19,720
+dead center و ال bottom dead center بتمثل ال short
+
+31
+00:03:19,720 --> 00:03:24,240
+ال stroke يعني ال stroke هي ال distance ال stroke
+
+32
+00:03:24,240 --> 00:03:28,520
+ال
+
+33
+00:03:28,520 --> 00:03:32,440
+distance between
+
+34
+00:03:32,440 --> 00:03:36,200
+ال
+
+35
+00:03:36,200 --> 00:03:37,040
+top dead center
+
+36
+00:03:40,770 --> 00:03:49,430
+and bottom dead center at
+
+37
+00:03:49,430 --> 00:03:54,090
+any position at any angle position ال crank makes
+
+38
+00:03:54,090 --> 00:03:59,590
+an angle theta مع ال horizontal و ال connecting
+
+39
+00:03:59,590 --> 00:04:05,320
+rod بيعمل زاوية five مع ال horizontalهيكون ال
+
+40
+00:04:05,320 --> 00:04:07,720
+reference بتاعي اللي هو ال top dead center ال
+
+41
+00:04:07,720 --> 00:04:15,960
+reference هو top dead center لأن
+
+42
+00:04:15,960 --> 00:04:22,140
+هذه المسافة from ال top dead center to any
+
+43
+00:04:22,140 --> 00:04:27,880
+position هسميها X المسافة
+
+44
+00:04:27,880 --> 00:04:32,880
+هذه كلها من هنا ل هنا
+
+45
+00:04:36,930 --> 00:04:43,950
+عبارة عن اللي
+
+46
+00:04:43,950 --> 00:04:50,310
+هي نص ال crank radius R زائد طول ال connecting rod
+
+47
+00:04:50,310 --> 00:04:57,650
+R زائد L R هي ال crank radius و L طول ال
+
+48
+00:04:57,650 --> 00:05:03,890
+connecting rod هسمي
+
+49
+00:05:03,890 --> 00:05:04,590
+نقطة هذه Q
+
+50
+00:05:09,540 --> 00:05:17,440
+هذه اللي هي PQ المسافة
+
+51
+00:05:17,440 --> 00:05:20,940
+PQ
+
+52
+00:05:20,940 --> 00:05:28,460
+عبارة
+
+53
+00:05:28,460 --> 00:05:31,920
+عن ال PC cosine file هذا PC طول L
+
+54
+00:05:35,100 --> 00:05:46,500
+cos φ والمسافة هذه من هنا لهنا اللي هتكون R cos θ
+
+55
+00:05:46,500 --> 00:05:53,460
+يعني ال X هيكون ال
+
+56
+00:05:53,460 --> 00:06:00,800
+X هيكون OP ناقص
+
+57
+00:06:00,800 --> 00:06:01,940
+OP
+
+58
+00:06:06,140 --> 00:06:14,640
+الـ OP' اللي هتحكي عنه عبارة عن R زاد L R زاد L R
+
+59
+00:06:14,640 --> 00:06:18,600
+ال crank radius و L ال length of connecting minus
+
+60
+00:06:18,600 --> 00:06:32,780
+ال OB عبارة عن OQ زاد QP OQ زاد QP يعني هتساوي R
+
+61
+00:06:32,780 --> 00:06:44,900
+زاد ال minusالـ OQ اللي هي R Cos θ والـ
+
+62
+00:06:44,900 --> 00:06:53,720
+QP الـ Cos ف يعني
+
+63
+00:06:53,720 --> 00:06:59,990
+هتصير .. هتاخد R على المشترك هتصير Rفي واحد minus
+
+64
+00:06:59,990 --> 00:07:11,290
+cosine theta زائد ال في واحد minus cosine فيه هذه
+
+65
+00:07:11,290 --> 00:07:15,510
+ال X طيب
+
+66
+00:07:15,510 --> 00:07:23,150
+الان هل في علاقة بين فا و ثيتا الان لو أخدت المثلث
+
+67
+00:07:23,150 --> 00:07:33,290
+المثلث PQC المثلث PQC
+
+68
+00:07:33,290 --> 00:07:41,810
+اتضلع CQ بساوي
+
+69
+00:07:41,810 --> 00:07:50,910
+L Sin Phi برضه اذا أخدت المثلث OQC
+
+70
+00:07:50,910 --> 00:07:55,230
+OQC
+
+71
+00:07:55,230 --> 00:08:05,170
+هتكون عند ال CQبالسواء R Sine Theta معناته هشيل
+
+72
+00:08:05,170 --> 00:08:15,470
+عندهين L Sine Fi بسواء R Sine Theta يعني Sine Fi
+
+73
+00:08:15,470 --> 00:08:26,220
+هتكون تساوي R على L Sine Thetaخلّيني اعرف let's
+
+74
+00:08:26,220 --> 00:08:31,960
+define خلّيني اعرف ال ratio ال connecting rod على
+
+75
+00:08:31,960 --> 00:08:37,300
+طول ال crank اللي هي L على R معناته بتصير عندهين
+
+76
+00:08:37,300 --> 00:08:47,060
+sin phi بتساوي sin theta على N
+
+77
+00:08:52,520 --> 00:09:00,740
+طب خلّيني اذا انا عارف sign في هي عندي sign و حكيت
+
+78
+00:09:00,740 --> 00:09:10,220
+هذه في حكيت sign في بتساوي هذا الضلع عبارة عن sign
+
+79
+00:09:10,220 --> 00:09:16,580
+theta و هذا n معناته هذا الضلع ايش هيكون؟ هيكون
+
+80
+00:09:16,580 --> 00:09:17,640
+الجزر التربيعي
+
+81
+00:09:20,160 --> 00:09:28,020
+لان تربيع ناقص sin تربيع ثتا معناته cosine في
+
+82
+00:09:28,020 --> 00:09:32,220
+بتساوي
+
+83
+00:09:32,220 --> 00:09:41,620
+جزر التربيع لان تربيع minus sin تربيع ثتا على ان
+
+84
+00:09:41,620 --> 00:09:45,120
+نعود
+
+85
+00:09:45,120 --> 00:09:47,580
+لمعادلة معناته x بالساوية
+
+86
+00:09:51,330 --> 00:10:02,850
+R في واحد minus cosine theta زاد L في
+
+87
+00:10:02,850 --> 00:10:12,110
+واحد minus cosine في الجزر التربيعي لواحد
+
+88
+00:10:12,110 --> 00:10:17,450
+minus sine تربيعي theta على N تربيعي
+
+89
+00:10:25,880 --> 00:10:38,380
+مانعة وجدنا علاقة ل X طيب
+
+90
+00:10:38,380 --> 00:10:44,400
+الان
+
+91
+00:10:44,400 --> 00:10:53,420
+احنا
+
+92
+00:10:53,420 --> 00:10:59,650
+so far اوجدنا علاقة هذهحكينا ان X يستوي R في واحد
+
+93
+00:10:59,650 --> 00:11:03,570
+ناقص Cos θ زن في واحد ناقص Cos فاي اللي هي العلاقة
+
+94
+00:11:03,570 --> 00:11:08,570
+العلاقة هذه او جدنا علاقة بين Sin فاي و Sin ثتا
+
+95
+00:11:08,570 --> 00:11:12,710
+Sin فاي يستوي Sin ثتا على N و علاقة بين لعلاقة ل
+
+96
+00:11:12,710 --> 00:11:15,690
+Cos فاي و Cos فاي يستوي جزر تربيع ل N تربيع و ناقص
+
+97
+00:11:15,690 --> 00:11:21,110
+Sin تربيع ثتا على N طيب
+
+98
+00:11:25,040 --> 00:11:32,760
+الان cosine فاى cosine فاى
+
+99
+00:11:32,760 --> 00:11:44,480
+بتساوي cosine فاى بتساوي الجزر التربيعى لأ واحد
+
+100
+00:11:44,480 --> 00:11:48,580
+ناقص sin تربيع theta على n تربيع هذا already
+
+101
+00:11:48,580 --> 00:11:53,680
+أثبتناهاأول اللي بدأ اكملها بصيغة الأساس هتكون
+
+102
+00:11:53,680 --> 00:12:09,660
+واحد minus sin تربيع ثتا على N تربيع أس نص إذا
+
+103
+00:12:09,660 --> 00:12:13,560
+فاكرين في ال calculus Taylor series expansion إذا
+
+104
+00:12:13,560 --> 00:12:21,760
+عندي any continuous function f of xممكن اعبر عنه
+
+105
+00:12:21,760 --> 00:12:23,740
+بالـ Taylor expansion
+
+106
+00:12:32,140 --> 00:12:37,260
+fn a x على n factorial في x minus a أُس n يعني
+
+107
+00:12:37,260 --> 00:12:42,140
+هتكون ال f at a زد f prime at a في x minus a زد f
+
+108
+00:12:42,140 --> 00:12:44,660
+double prime of a على اتنين factorial في x minus a
+
+109
+00:12:44,660 --> 00:12:48,800
+لكل تربيع زد f double prime a على تلتة factorial
+
+110
+00:12:48,800 --> 00:12:52,520
+في x ناقص a لكل تكيب ال f prime و ال f double
+
+111
+00:12:52,520 --> 00:12:55,220
+prime و ال f triple prime هذه هي شئ المشتقة الأولى
+
+112
+00:12:55,220 --> 00:12:58,200
+و المشتقة التانية و المشتقة التالتة هذا معناه
+
+113
+00:12:58,200 --> 00:13:04,150
+بفترض تكونوا عارفين منالكالكولوس الان معناته انا
+
+114
+00:13:04,150 --> 00:13:08,490
+ممكن اعتبر ال function عندي cosine phi cosine phi
+
+115
+00:13:08,490 --> 00:13:15,830
+cosine phi using Taylor expansion هيكون بساوي واحد
+
+116
+00:13:15,830 --> 00:13:19,510
+ناقص نص سين تربيع ثتا لإن تربيع زاد higher terms
+
+117
+00:13:19,510 --> 00:13:26,200
+يعني اذا باطرح بحكي واحد ناقص cosine phiهيكون
+
+118
+00:13:26,200 --> 00:13:34,680
+يساوي يعني واحد according to
+
+119
+00:13:34,680 --> 00:13:38,840
+taylor expansion
+
+120
+00:13:38,840 --> 00:13:43,460
+هتكون
+
+121
+00:13:43,460 --> 00:13:57,600
+cos phi بتساوي واحد ناقص نص في sin تربيعtheta على
+
+122
+00:13:57,600 --> 00:14:01,880
+n تربيع زائد
+
+123
+00:14:01,880 --> 00:14:13,520
+other other higher terms الان
+
+124
+00:14:13,520 --> 00:14:19,600
+انا عندي هنا n تربيع بعد شو هتصير n اربعةو عندي او
+
+125
+00:14:19,600 --> 00:14:22,520
+احد ع تلاتة factorial اللي هي بتكون واحد ع ستة
+
+126
+00:14:22,520 --> 00:14:27,120
+يعني هيكون hectares و بعدين عندي أنقص ستة و أنقص
+
+127
+00:14:27,120 --> 00:14:31,040
+تمانية و أنقص عشر و كذا ال terms هذي الأن تقريبا
+
+128
+00:14:31,040 --> 00:14:34,360
+في ال range الخامسة بتكون فالأن تربع خمسة و عشرين
+
+129
+00:14:34,360 --> 00:14:37,120
+أنت كايف مية و خمسة و عشرين و مية و خمسة و عشرين
+
+130
+00:14:37,120 --> 00:14:40,000
+يعني واحد ع مية و خمسة و عشرين في واحد ع ستة بتطلع
+
+131
+00:14:40,000 --> 00:14:43,660
+ال terms هذي صغيرة جدا بالمقارنة بال terms الأولي
+
+132
+00:14:43,660 --> 00:14:49,160
+اما انا اتباحي ممكن احكي cosine fiveتقريبا بتسوى
+
+133
+00:14:49,160 --> 00:15:01,540
+واحد ماينوس صين ثيتا على N تربيع صين تربيع معناته
+
+134
+00:15:01,540 --> 00:15:13,240
+واحد ماكس كصين في تقريبا هتكون ساوى صين تربيع ثيتا
+
+135
+00:15:13,240 --> 00:15:21,510
+على N تربيععلى ان تربية معناته هو كناجي احكي هنا X
+
+136
+00:15:21,510 --> 00:15:25,070
+هتساوي
+
+137
+00:15:25,070 --> 00:15:31,910
+R في واحد تقريبا طبعا في واحد واحد ناقص cosine
+
+138
+00:15:31,910 --> 00:15:39,730
+ثيتا ZL واحد ناقص cosine الفاي اللي هي في sin
+
+139
+00:15:39,730 --> 00:15:40,250
+تربية
+
+140
+00:15:43,670 --> 00:15:53,510
+theta على n تربيع مناقشة جدًا معادلة لل X ليه
+
+141
+00:15:53,510 --> 00:15:58,290
+هذه المعادلة؟
+
+142
+00:15:58,290 --> 00:16:05,270
+الان لو أخدت R ع المشترك رح
+
+143
+00:16:05,270 --> 00:16:10,550
+تصير واحد minus cosine theta
+
+144
+00:16:14,320 --> 00:16:22,980
+زائد L على R اللي هي N Sine Square ثيتا على N
+
+145
+00:16:22,980 --> 00:16:32,160
+تربيع يعني حيث ساوي R في واحد minus cosine theta
+
+146
+00:16:32,160 --> 00:16:38,060
+زائد Sine Square ثيتا على N
+
+147
+00:16:40,430 --> 00:16:49,930
+ها دي إيش ال X معناته
+
+148
+00:16:49,930 --> 00:17:04,030
+نكتب أول معادلة نكتب الأول ال
+
+149
+00:17:04,030 --> 00:17:09,550
+X بتساوي R
+
+150
+00:17:11,400 --> 00:17:17,940
+في واحد minus cosine theta زائد sine square theta
+
+151
+00:17:17,940 --> 00:17:29,240
+على اتنين على اتنين n على
+
+152
+00:17:29,240 --> 00:17:34,740
+اتنين على
+
+153
+00:17:34,740 --> 00:17:39,280
+اتنين theta
+
+154
+00:17:39,280 --> 00:17:55,350
+على اتنين nهذه ال X عشان
+
+155
+00:17:55,350 --> 00:18:03,690
+احسب السرعة سرعة V سرعة ال Piston V Piston بستوى
+
+156
+00:18:03,690 --> 00:18:11,340
+DX by DT لو ده استخدم ال channel والبستوى DXby d θ
+
+157
+00:18:11,340 --> 00:18:18,480
+في d θ by dt يعني
+
+158
+00:18:18,480 --> 00:18:29,620
+دلوقتي هستفت DX by d θ DX by d θ بتساوي R اشتغلت
+
+159
+00:18:29,620 --> 00:18:34,360
+اللي واحد على السفر minus minus plus هتكون sin θ
+
+160
+00:18:37,390 --> 00:18:52,250
+زائد اتنين sin theta cos theta على اتنين ان حساوى
+
+161
+00:18:52,250 --> 00:19:01,070
+R في sin theta زائد
+
+162
+00:19:06,000 --> 00:19:09,200
+تنين ساين ثيتا كوساين ثيتا عبارة عن ساين توا ثيتا
+
+163
+00:19:09,200 --> 00:19:18,360
+ساين توا ثيتا على اتنين ان دي ايش دي اكس واي دي
+
+164
+00:19:18,360 --> 00:19:25,120
+ثيتا معناته ال V بتاعة ال piston هتكون دي ثيتا بوا
+
+165
+00:19:25,120 --> 00:19:30,380
+دي تي اللي هي عبارة عن السرعة الزاوية هذه السرعة
+
+166
+00:19:30,380 --> 00:19:42,100
+الزاوية للكرانك هتكون Omega Rفي sin θ زائد sin 2θ
+
+167
+00:19:42,100 --> 00:19:55,380
+على 2n هذا ال V بتاعة ال piston عشان
+
+168
+00:19:55,380 --> 00:20:00,880
+احسب ال acceleration بتاعة ال piston بتحكي ال a
+
+169
+00:20:00,880 --> 00:20:08,000
+بتاعة ال pistonهتكون dv للبسطون by dt بستخدم ال
+
+170
+00:20:08,000 --> 00:20:17,520
+chain rule هتكون عنده dv للبسطون by d theta في d
+
+171
+00:20:17,520 --> 00:20:22,480
+theta by dt اللي هاد ايش تكون omega يعني هتستوى
+
+172
+00:20:22,480 --> 00:20:30,860
+omega في dvp by d theta لان dvp
+
+173
+00:20:33,630 --> 00:20:41,810
+body theta بتساوي omega
+
+174
+00:20:41,810 --> 00:20:46,690
+R في
+
+175
+00:20:46,690 --> 00:20:49,870
+cosine
+
+176
+00:20:49,870 --> 00:20:52,370
+theta
+
+177
+00:20:56,800 --> 00:21:00,700
+طب المناسبة انا فرضت ان omega is constant هذا اللي
+
+178
+00:21:00,700 --> 00:21:04,900
+اشتغلها omega is constant with theta omega سواق
+
+179
+00:21:04,900 --> 00:21:09,660
+constant with theta اللي هتكون dvb بقى d theta
+
+180
+00:21:09,660 --> 00:21:17,680
+عشان omega r في cosine theta زاد اتنين اتنين في
+
+181
+00:21:17,680 --> 00:21:24,600
+cosine two theta cosine two theta على اتنين n
+
+182
+00:21:29,350 --> 00:21:34,510
+يعني هتصير عندي ال a b اللي
+
+183
+00:21:34,510 --> 00:21:39,890
+هي dv بيقع d θ في omega هصير omega square r في
+
+184
+00:21:39,890 --> 00:21:55,930
+cosine theta زائد cosine two theta على n المعنى
+
+185
+00:21:55,930 --> 00:21:57,050
+هو احنا عرفنا
+
+186
+00:22:00,050 --> 00:22:10,490
+الـ position للـ piston at any angle θ وعرفنا طبعا
+
+187
+00:22:10,490 --> 00:22:18,710
+هنا الـ Omega is assumed to
+
+188
+00:22:18,710 --> 00:22:23,970
+be constant يعني
+
+189
+00:22:23,970 --> 00:22:26,810
+عند الـ θ في الحالة اللي مش بالساوية Omega في T
+
+190
+00:22:26,810 --> 00:22:28,790
+الـ T هو الزمن
+
+191
+00:22:33,190 --> 00:22:37,690
+و V Omega R Sine Theta زي Sine 2 Theta على 2N و
+
+192
+00:22:37,690 --> 00:22:39,990
+Acceleration للبسطون Omega Square R في Cos Theta
+
+193
+00:22:39,990 --> 00:22:46,890
+زي Cos 2 Theta على N لأن
+
+194
+00:22:46,890 --> 00:22:52,050
+عشان أوجد سرعة الزاوية عشان أوجد سرعة الزاوية
+
+195
+00:22:52,050 --> 00:23:00,150
+للبسطون لل connecting rod خليني أمسح حاليا هذه
+
+196
+00:23:04,310 --> 00:23:14,950
+عند احكي ال V P باسم Omega R في Sine Theta زائد
+
+197
+00:23:14,950 --> 00:23:22,630
+Sine Two Theta على N و ال A P اللي ردش تقنع Omega
+
+198
+00:23:22,630 --> 00:23:35,340
+Square R في Cosine Theta زائد Cosine Two Thetaعلى
+
+199
+00:23:35,340 --> 00:23:41,420
+n نمسح
+
+200
+00:23:41,420 --> 00:23:47,520
+الان
+
+201
+00:23:47,520 --> 00:23:53,160
+بدي اجيب ال angular velocity لل connecting rod وال
+
+202
+00:23:53,160 --> 00:23:55,360
+angular acceleration لل connecting rod اول شي احنا
+
+203
+00:23:55,360 --> 00:24:03,860
+حاكينا sin phi سابقا بالساوي sin theta على n
+
+204
+00:24:13,980 --> 00:24:20,200
+لو اشتقت الطرفين بالنسبة للزمن هصير هادي اشتقة ك
+
+205
+00:24:20,200 --> 00:24:33,280
+cosine في في d phi by dt بتساوي cosine theta على n
+
+206
+00:24:33,280 --> 00:24:43,520
+في d theta by dt لأن d phi by dt هي عبارة عنالـ
+
+207
+00:24:43,520 --> 00:24:50,960
+Omega تاعة الـ Connecting Rod في Cos Phi بالساوية
+
+208
+00:24:50,960 --> 00:24:56,220
+الـ Dθ وDt اللي هي Omega تاعة الكرانك في Cos Theta
+
+209
+00:24:56,220 --> 00:25:02,200
+على N بالصفر Omega للـ Connecting Rod بالساوية
+
+210
+00:25:02,200 --> 00:25:13,850
+Omega Cos Theta على N Cos Phiو احنا حكينا السابقان
+
+211
+00:25:13,850 --> 00:25:19,130
+cosine في بالساوية
+
+212
+00:25:44,770 --> 00:25:47,850
+طيب omega connected root سواء omega cosine theta
+
+213
+00:25:47,850 --> 00:25:53,070
+على n cosine phi حكيها أنا cosine phi ساوية الجزر
+
+214
+00:25:53,070 --> 00:26:02,590
+التربيعي لواحد ناقص sin تربيع theta على n تربيع
+
+215
+00:26:02,590 --> 00:26:09,930
+يعني
+
+216
+00:26:09,930 --> 00:26:17,990
+هذا حس ساويةomega cosine theta على الجزر التربيعي
+
+217
+00:26:17,990 --> 00:26:35,130
+الواحد minus sine تربيع theta على n تربيع نفس
+
+218
+00:26:35,130 --> 00:26:39,680
+الاصل اللي قلتهاللي هي هذه المعادلة الـ omega تحت
+
+219
+00:26:39,680 --> 00:26:43,560
+ال connecting rod omega cosine theta على جزر
+
+220
+00:26:43,560 --> 00:26:50,960
+التربيه لواحد ناقصان تربيه اسم square N لان
+
+221
+00:26:50,960 --> 00:26:55,680
+لاحظوا في عندي هنا N كمان لما تدخل N على الخط
+
+222
+00:26:55,680 --> 00:27:01,830
+بيصير عندي omega cosineثيتا لو دخلنا ال N جوا
+
+223
+00:27:01,830 --> 00:27:05,470
+الجزر التربيع يصير N تربيع بيساوي الجزر التربيع ل
+
+224
+00:27:05,470 --> 00:27:13,730
+N تربيع ناقص sin تربيع ثيتا لان عشان احسب العجلة
+
+225
+00:27:13,730 --> 00:27:20,470
+اللى هى Alpha بتاعة ال connecting rod هسه D Omega
+
+226
+00:27:20,470 --> 00:27:25,530
+لل connecting rod by DT
+
+227
+00:27:30,240 --> 00:27:35,920
+طبعا بشتق المعادلة هذه شغل calculus بتطلع ال alpha
+
+228
+00:27:35,920 --> 00:27:43,060
+بتاعة ال connecting rod بيساوي minus omega square
+
+229
+00:27:43,060 --> 00:27:57,800
+sine theta في N تربيع ناقص واحد على N تربيع minus
+
+230
+00:27:57,800 --> 00:27:59,060
+sine تربيع theta
+
+231
+00:28:02,890 --> 00:28:12,530
+اقصد تلاتة ع اتنين الان
+
+232
+00:28:12,530 --> 00:28:20,290
+لدينا هذه المعادلة لانجر
+
+233
+00:28:20,290 --> 00:28:25,890
+باليست ال connecting rod لدي هذه المعادلة لانجر
+
+234
+00:28:25,890 --> 00:28:29,110
+الاكسليريشن ال connecting rod هذه المعادلة تعطينا
+
+235
+00:28:29,110 --> 00:28:30,390
+الحسبة بالظبط 100%
+
+236
+00:28:36,050 --> 00:28:42,570
+هو نحكي هذه المعادلة الان ال square بتكون في معظم
+
+237
+00:28:42,570 --> 00:28:45,970
+الأحيان حوالين الخمسة ال sign زي ما انتوا عارفين
+
+238
+00:28:45,970 --> 00:28:53,590
+ال sign تتأرجح قيمتها بين minimum وناقص واحد يعني
+
+239
+00:28:53,590 --> 00:28:59,020
+أكبر أشي بتكون ال sign واحدمعناته لو N تربيع كان
+
+240
+00:28:59,020 --> 00:29:02,640
+ال N خمسة خمسة في خمسة خمسة وعشرين ناقص واحد اربع
+
+241
+00:29:02,640 --> 00:29:07,340
+وعشرين جزر الاربع وعشرين مش بعيد عن جزر الخمسة
+
+242
+00:29:07,340 --> 00:29:09,260
+وعشرين جزر الاربع وعشرين مش بعيد عن جزر الخمسة
+
+243
+00:29:09,260 --> 00:29:15,260
+معناته ممكن احكي انه انه بتكون sin square هتكون
+
+244
+00:29:15,260 --> 00:29:24,190
+sin square ثتا اقل بكتير من ال N تربيعيعني ما انا
+
+245
+00:29:24,190 --> 00:29:28,070
+ممكن احكي ك approximation omega تاعة ال connecting
+
+246
+00:29:28,070 --> 00:29:37,470
+rod بتساوي تقريبا omega cosine theta على الجزر
+
+247
+00:29:37,470 --> 00:29:42,550
+التربيعي على ال N تربيعي يعني هتساوي omega cosine
+
+248
+00:29:42,550 --> 00:29:52,110
+theta على N وبرضه
+
+249
+00:29:52,110 --> 00:29:58,140
+ال N squareالان سكوير هتكون اكبر بكتير من الواحد
+
+250
+00:29:58,140 --> 00:30:01,780
+يعني ممكن احكي الالفة بتاعة ال connecting rod
+
+251
+00:30:01,780 --> 00:30:09,820
+هتسوى minus omega square sine theta في N تربيع
+
+252
+00:30:09,820 --> 00:30:18,080
+تقريبا في N تربيع على N
+
+253
+00:30:18,080 --> 00:30:26,520
+تربيع أس تلاتة على اتنينيعني هيكون ساوى تقريبا
+
+254
+00:30:26,520 --> 00:30:34,480
+minus omega square sine theta في n تربية على n
+
+255
+00:30:34,480 --> 00:30:47,460
+تكيب يعني هتصفى minus omega square sine theta على
+
+256
+00:30:47,460 --> 00:30:47,960
+n
+
+257
+00:30:51,690 --> 00:30:54,670
+معناته omega pc omega بتاعة ال connecting rod
+
+258
+00:30:54,670 --> 00:30:59,410
+هتكون omega cosine theta على n تقريبا و alpha
+
+259
+00:30:59,410 --> 00:31:05,010
+alpha لل connecting rod بيصبح minus omega square
+
+260
+00:31:05,010 --> 00:31:09,250
+sine theta على n واضح ان هذه هي يعني طريقة تحليلية
+
+261
+00:31:09,250 --> 00:31:13,550
+تقريبية يعني احنا طريقة تحليلية تقريبية و الهدف
+
+262
+00:31:13,550 --> 00:31:18,250
+تبسيط المعدلات بدون ما يكون نسبة خطأ يعني بحيث
+
+263
+00:31:18,250 --> 00:31:22,760
+الخطأ نسبة خطأ تكون قليلة جدامعناته هذه الطريقة
+
+264
+00:31:22,760 --> 00:31:26,920
+التحليلية لحساب ال position velocity and
+
+265
+00:31:26,920 --> 00:31:32,620
+acceleration لل slider وطريقة التحليلية التقريبية
+
+266
+00:31:32,620 --> 00:31:35,600
+لحساب ال angular velocity و ال angular
+
+267
+00:31:35,600 --> 00:31:43,060
+acceleration لل connecting rod خليني
+
+268
+00:31:43,060 --> 00:31:44,920
+معناته نكتب المعادلات هذه
+
+269
+00:31:55,090 --> 00:32:00,830
+وميجا بتاعة ال connecting rod بتساوي
+
+270
+00:32:00,830 --> 00:32:10,330
+omega cosine theta على N تقريبا طبعا والالفة بتاعة
+
+271
+00:32:10,330 --> 00:32:17,430
+ال connecting rod بتساوي minus omega square sine
+
+272
+00:32:17,430 --> 00:32:22,110
+theta على N
+
+273
+00:32:31,700 --> 00:32:44,920
+نحل مثلًا if the
+
+274
+00:32:44,920 --> 00:32:46,660
+crank and connecting rod
+
+275
+00:32:50,610 --> 00:32:53,630
+if the crank and connecting rod are three hundred
+
+276
+00:32:53,630 --> 00:32:56,670
+millimeters and one thousand millimeters long يعني
+
+277
+00:32:56,670 --> 00:33:04,310
+المعطين الكرانك ال R تلتمية ميليميتر و الطول ال
+
+278
+00:33:04,310 --> 00:33:09,270
+connecting rod المعطينيها الف ميليميتر
+
+279
+00:33:09,270 --> 00:33:17,950
+معناته ال N اللي هي L على R هتكون سوء الف ع تلتمية
+
+280
+00:33:17,950 --> 00:33:27,730
+يعني عشرةعلى تلاتة طيب and the crank rotates at a
+
+281
+00:33:27,730 --> 00:33:32,750
+constant speed of two hundred rpm والسرعة الزاوية
+
+282
+00:33:32,750 --> 00:33:44,930
+الان للكرانك متين rpm معناة ال omega هتكون متين في
+
+283
+00:33:44,930 --> 00:33:47,970
+اتنين by على ستين
+
+284
+00:33:56,370 --> 00:34:04,970
+يعني هتكون تساوي عشرين باي على
+
+285
+00:34:04,970 --> 00:34:12,470
+تلاتة radians per second هذا
+
+286
+00:34:12,470 --> 00:34:19,730
+المعطيات determine
+
+287
+00:34:19,730 --> 00:34:23,590
+the crank angle at which maximum velocity occurs
+
+288
+00:34:24,350 --> 00:34:30,230
+بدوا الـ crank angle يعني بدوا الـ theta at
+
+289
+00:34:30,230 --> 00:34:35,610
+maximum velocity
+
+290
+00:34:44,720 --> 00:34:48,200
+ال velocity is maximum بتكون لما ال acceleration
+
+291
+00:34:48,200 --> 00:34:52,740
+بتساوي zero يعني ال velocity بتكون maximum او لما
+
+292
+00:34:52,740 --> 00:34:55,300
+تكون velocity maximum او minimum بتكون ال
+
+293
+00:34:55,300 --> 00:34:59,820
+acceleration بتساوي zero يعني ال velocity of
+
+294
+00:34:59,820 --> 00:35:03,980
+piston is
+
+295
+00:35:03,980 --> 00:35:13,340
+maximum when acceleration لل piston بتساوي zero
+
+296
+00:35:14,890 --> 00:35:20,190
+يعني احنا هنكون عندى ال zero بتساوي
+
+297
+00:35:20,190 --> 00:35:30,530
+omega square r في cosine theta زائد cosine two
+
+298
+00:35:30,530 --> 00:35:36,310
+theta على n طبعا حاسين عندى
+
+299
+00:35:42,450 --> 00:35:44,950
+هتروح الامجا سكوير الامجا سكوير الامجا سكوير
+
+300
+00:35:44,950 --> 00:35:52,370
+الامجا سكوير الامجا سكوير الامجا سكوير الامجا
+
+301
+00:35:52,370 --> 00:35:56,990
+سكوير الامجا سكوير الامجا سكوير الامجا سكوير
+
+302
+00:35:56,990 --> 00:35:57,810
+الامجا سكوير الامجا سكوير الامجا سكوير الامجا
+
+303
+00:35:57,810 --> 00:35:57,870
+سكوير الامجا سكوير الامجا سكوير الامجا سكوير
+
+304
+00:35:57,870 --> 00:35:59,350
+الامجا سكوير الامجا سكوير الامجا سكوير الامجا
+
+305
+00:35:59,350 --> 00:36:03,890
+سكوير الامجا سكوير
+
+306
+00:36:03,890 --> 00:36:07,330
+الامجا سكوير الامجا سكوير الامجا سكوير الامجا
+
+307
+00:36:07,330 --> 00:36:13,810
+سكوير الامجا سكوير الامجازائد تلاتة من عشرة cosine
+
+308
+00:36:13,810 --> 00:36:27,050
+two theta بالساوية zero طبعا
+
+309
+00:36:27,050 --> 00:36:33,070
+هذه المعادلة عادية non non
+
+310
+00:36:33,070 --> 00:36:35,090
+linear
+
+311
+00:36:37,510 --> 00:36:46,910
+equation هذه معادلة غير خطية غير خطية يعني
+
+312
+00:36:46,910 --> 00:36:52,030
+solve for
+
+313
+00:36:52,030 --> 00:37:03,450
+theta using numerical techniques
+
+314
+00:37:09,730 --> 00:37:12,410
+عند نيوتن رافسون عند ال interpolation عند ال by
+
+315
+00:37:12,410 --> 00:37:16,390
+section في كذا طريقة ممكن تستخدم ال math lab او ال
+
+316
+00:37:16,390 --> 00:37:25,690
+mathematica او any software or you may solve
+
+317
+00:37:25,690 --> 00:37:30,210
+by trial and error
+
+318
+00:37:35,600 --> 00:37:40,640
+يعني you assume θ وشوف لحد ما يصير الطرف على
+
+319
+00:37:40,640 --> 00:37:45,160
+الشمال يساوي zero ده تحسب و تحسب لأن once you
+
+320
+00:37:45,160 --> 00:37:53,040
+solve for θ بتحسب V بتعود V بتساوي V maximum
+
+321
+00:37:53,040 --> 00:37:59,440
+بتساوي اللي هي omega R V sin θ
+
+322
+00:38:02,340 --> 00:38:11,980
+زائد sin two theta على n من نتيجة المعادلة هذه
+
+323
+00:38:11,980 --> 00:38:16,040
+بحسب theta بعوض theta هنا و ال omega معروفة عندي و
+
+324
+00:38:16,040 --> 00:38:19,520
+ال R معروفة و ال N معروفة بحسب ال maximum speed
+
+325
+00:38:19,520 --> 00:38:24,800
+اللي بتكون عندها ال acceleration zero يعني اتوقع
+
+326
+00:38:24,800 --> 00:38:27,900
+انكم حلوا المعادلة هذه بعدين اعوضوا في المعادلة
+
+327
+00:38:27,900 --> 00:38:29,520
+هذه عشان تجدوا maximum speed
+
+328
+00:38:34,240 --> 00:38:46,540
+نشوف مثال تاني The crank
+
+329
+00:38:46,540 --> 00:38:49,800
+and correcting rod of a steam engine ال crank و ال
+
+330
+00:38:49,800 --> 00:38:55,500
+connecting rod لمحرك بخاري are point three meters
+
+331
+00:38:55,500 --> 00:38:58,020
+and one point five meters in length معطيني ال
+
+332
+00:38:58,020 --> 00:39:04,660
+crank R لمحرك بخاري تلاتة من عشرة متروالطول ال
+
+333
+00:39:04,660 --> 00:39:09,100
+connecting rod واحد و نص متر معناته ال N هتساوي
+
+334
+00:39:09,100 --> 00:39:14,660
+واحد و نص ع تلات من عشرة يعني هيكون استوياش خمسة
+
+335
+00:39:14,660 --> 00:39:20,860
+ال N ال crank rotates at one hundred eighty rpm
+
+336
+00:39:20,860 --> 00:39:28,220
+clockwise بالدور N مية و تمانين revolution per
+
+337
+00:39:28,220 --> 00:39:32,890
+minuteمعناة الاميجيا هتكون تسوى مية و تمانين فى
+
+338
+00:39:32,890 --> 00:39:40,570
+اتنين باى على ستين تسوى ستة باى radians per second
+
+339
+00:39:42,260 --> 00:39:45,100
+Determine velocity and acceleration of piston when
+
+340
+00:39:45,100 --> 00:39:47,820
+the crank is at 4 degrees from inner dead center
+
+341
+00:39:47,820 --> 00:39:53,160
+يعني ثيتا
+
+342
+00:39:53,160 --> 00:39:59,160
+بسوء أربعين درجة احسب ال velocity ال velocity ده
+
+343
+00:39:59,160 --> 00:40:04,800
+هي عندي ال V بتاعة ال piston بسوء Omega R Omega R
+
+344
+00:40:04,800 --> 00:40:09,020
+اللي احنا حسبنا هو Omega اللي هي ستة باى في ال R
+
+345
+00:40:09,020 --> 00:40:19,250
+اللي هيتلاتة من عشرة في sign الاربعين زاد
+
+346
+00:40:19,250 --> 00:40:26,830
+sign التمانين الى two theta على خمسة ومنها بحسب ال
+
+347
+00:40:26,830 --> 00:40:32,880
+VB وال acceleration ABاللي من المعادلة هي دي omega
+
+348
+00:40:32,880 --> 00:40:36,100
+square r في cosine theta زي كوصينتو ثتا على n لان
+
+349
+00:40:36,100 --> 00:40:44,460
+عندكوا عندى ستة by تربية في تلاتة من عشرة في كوصين
+
+350
+00:40:44,460 --> 00:40:56,180
+الأربعين زي كوصين التمانين على خمسة ومنها بحسب ال
+
+351
+00:40:56,180 --> 00:40:57,360
+acceleration لل piston
+
+352
+00:41:04,100 --> 00:41:07,520
+المطلوب التاني position of the crank for zero
+
+353
+00:41:07,520 --> 00:41:12,120
+acceleration of the piston بده position of the
+
+354
+00:41:12,120 --> 00:41:17,400
+crank for zero يعني بده ال X for zero acceleration
+
+355
+00:41:17,400 --> 00:41:23,840
+لما انت حسب A B لما ال A B تكون ساوة Zero هيكون
+
+356
+00:41:23,840 --> 00:41:36,540
+ساوة عنده Omega SquareR في cos θ زاد cos 2θ على
+
+357
+00:41:36,540 --> 00:41:48,320
+خمسة يعني هصير عنده cos θ زاد اتنين من عشرة cos 2θ
+
+358
+00:41:48,320 --> 00:41:54,420
+بساوة زيرو معناه to solve اول شي four theta
+
+359
+00:41:59,060 --> 00:42:06,920
+بعد ما اصول for theta عوّد substitute in
+
+360
+00:42:06,920 --> 00:42:20,310
+equation for X ال X هتكون تساوي اللي هي Rفي واحد
+
+361
+00:42:20,310 --> 00:42:29,870
+minus cosine theta زائد sine square theta على
+
+362
+00:42:29,870 --> 00:42:30,610
+اتنين N
+
+363
+00:42:37,080 --> 00:42:40,280
+الـ R اللي هي تلاتة من عشرة والـ θيتا اللي حسبناها
+
+364
+00:42:40,280 --> 00:42:43,540
+من المعادلة هذه والان بالساعة خمسة بحث ال position
+
+365
+00:42:43,540 --> 00:42:49,760
+of the crank position ال θيتا تمثل position of the
+
+366
+00:42:49,760 --> 00:42:53,960
+crank ال X تمثل position of the piston يعني ال
+
+367
+00:42:53,960 --> 00:42:57,840
+θيتا position of the crank و ال X position of the
+
+368
+00:42:57,840 --> 00:42:58,140
+piston
+
+369
+00:43:06,010 --> 00:43:07,370
+نشوف كمان مثال
+
+370
+00:43:22,650 --> 00:43:25,430
+if a slider crank mechanism in a slider crank
+
+371
+00:43:25,430 --> 00:43:27,590
+mechanism the length of the crank in a slider
+
+372
+00:43:27,590 --> 00:43:29,790
+crank mechanism the length of the crank and
+
+373
+00:43:29,790 --> 00:43:32,710
+correcting rod are one hundred fifty and six
+
+374
+00:43:32,710 --> 00:43:34,850
+hundred millimeters respectively معطي يعني في
+
+375
+00:43:34,850 --> 00:43:40,450
+slider crank ال R بتاعة الكرانك مية و خمسين ميلي
+
+376
+00:43:40,450 --> 00:43:46,870
+متر وال L ستمية ميلي متر معناته ال N هتكون
+
+377
+00:43:46,870 --> 00:43:53,190
+automatic L على Rبساوة ستمية على مية و خمسين تطلع
+
+378
+00:43:53,190 --> 00:43:57,150
+أربعة the
+
+379
+00:43:57,150 --> 00:43:59,850
+crank position is six degrees from the inner dead
+
+380
+00:43:59,850 --> 00:44:08,010
+center نعطينا ال theta بساوة ستين درجة the crank
+
+381
+00:44:08,010 --> 00:44:16,350
+shaft speed الان اللي هي أربع مية و خمسين rpm
+
+382
+00:44:16,350 --> 00:44:18,150
+clockwise
+
+383
+00:44:20,390 --> 00:44:26,610
+يعني ال omega هتكون اربعمائة و خمسين في اتنين by ع
+
+384
+00:44:26,610 --> 00:44:33,150
+ستين يعني سفر اتنين تلاتة ع تلاتة واحد تلاتة في
+
+385
+00:44:33,150 --> 00:44:41,630
+ايش خمستاشر يعني هتكون ساوى خمستاشر هتساوى خمستاشر
+
+386
+00:44:41,630 --> 00:44:48,330
+by radians per second
+
+387
+00:44:52,120 --> 00:44:54,460
+using analytical method to determine the velocity
+
+388
+00:44:54,460 --> 00:45:00,540
+and acceleration of the piston ال V
+
+389
+00:45:00,540 --> 00:45:08,300
+بتاعة ال piston هتكون Omega R في Sine Theta زائد
+
+390
+00:45:08,300 --> 00:45:14,360
+Sine Two Theta على N يعني ال Omega عندي هي خمستاشر
+
+391
+00:45:14,360 --> 00:45:19,600
+باي في ال R اللي هي point واحد خمسة في Sine ستين
+
+392
+00:45:20,500 --> 00:45:26,560
+زائد صين المية وعشرين على أربعة ومنها بحسب ال
+
+393
+00:45:26,560 --> 00:45:30,540
+باليستي للبستون ال acceleration للبستون هتكون
+
+394
+00:45:30,540 --> 00:45:38,580
+omega square r في cosine theta زائد cosine two
+
+395
+00:45:38,580 --> 00:45:44,500
+thetaعلى n يعني هتكون omega اللي هي خمستاشر by
+
+396
+00:45:44,500 --> 00:45:50,880
+تربيع في ال R اللي هي point واحد خمسة في cosine
+
+397
+00:45:50,880 --> 00:46:07,140
+الستين زائد cosine المية وعشرين على أربعة طيب
+
+398
+00:46:07,140 --> 00:46:10,950
+هذا المطلوب أو المطلوب التانيAngular velocity and
+
+399
+00:46:10,950 --> 00:46:14,190
+angular acceleration of the connecting rod السرعة
+
+400
+00:46:14,190 --> 00:46:18,390
+الزاوية العادية الزاوية لل connecting rod ال
+
+401
+00:46:18,390 --> 00:46:19,710
+angular velocity لل connecting rod او ال
+
+402
+00:46:19,710 --> 00:46:23,030
+connecting rod اميجا لل connecting rod اللي هي
+
+403
+00:46:23,030 --> 00:46:30,120
+اميجا كساين ثيتا على ان يعني هتكون عندي اميجااللي
+
+404
+00:46:30,120 --> 00:46:36,640
+هي خمستاشر by في cosine الستين على n اللي هي h
+
+405
+00:46:36,640 --> 00:46:40,280
+أربعة منها بحسب ال omega بتاعة ال connecting rod
+
+406
+00:46:40,280 --> 00:46:44,300
+والالفة بتاعة ال connecting rod هتكون تستوى minus
+
+407
+00:46:44,300 --> 00:46:53,660
+omega square sine theta على h على n هتكون minus
+
+408
+00:46:55,490 --> 00:47:07,790
+اللي هي خمستاشر باى تربيع ساين الستين على أربعة و
+
+409
+00:47:07,790 --> 00:47:13,810
+أنا بحسب إيش الألفة طيب
+
+410
+00:47:13,810 --> 00:47:16,810
+المحاضرة الجاية بنكمل
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vbe4zTaHMdM.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vbe4zTaHMdM.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0939fd3627cbe3bae08f4387def5a7c4335ba494
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vbe4zTaHMdM.srt
@@ -0,0 +1,786 @@
+1
+00:00:02,770 --> 00:00:05,730
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله و
+
+2
+00:00:05,730 --> 00:00:11,290
+بركاته اليوم هنكمل في مادة نظرية الآلات وهنكمل في
+
+3
+00:00:11,290 --> 00:00:18,250
+chapter الجير الـ gears المحاضرة الفاتتة اللي كانت
+
+4
+00:00:18,250 --> 00:00:22,730
+المحاضرة الثالثة حكينا عن الـ interference بين الـ
+
+5
+00:00:22,730 --> 00:00:29,370
+ pinion و الجير حكينا إذا صار السن اللي هو الـ ..
+
+6
+00:00:29,750 --> 00:00:35,510
+الـ addendum circle اللي  driven لمست .. لمست السن
+
+7
+00:00:35,510 --> 00:00:40,490
+تاع الـ pinion تحت الـ base circle بيصير انغراز للسن
+
+8
+00:00:40,490 --> 00:00:44,930
+الجير في سن الـ pinion وبيصير تآكل بين الأسنان
+
+9
+00:00:44,930 --> 00:00:49,810
+تاعت الترس وهذا لا يجوز، لازم أن احنا نتجنب أن
+
+10
+00:00:49,810 --> 00:00:52,510
+يصير interference  عشان نتجنب interference في عندي
+
+11
+00:00:52,510 --> 00:00:55,730
+minimum number of teeth في عندي حد أدنى من الأسنان
+
+12
+00:00:55,730 --> 00:00:59,940
+على الـ pinion لازم يكون عدد الأسنان أكبر منه، يعني
+
+13
+00:00:59,940 --> 00:01:03,600
+أقل عدد ممكن  بعد أو تحت هذا الرقم بيصير عنده
+
+14
+00:01:03,600 --> 00:01:06,460
+interference، above this number of teeth ما بيصير
+
+15
+00:01:06,460 --> 00:01:11,220
+عنده interference، مش هخش في تفاصيل اشتقاق المعادلة،
+
+16
+00:01:11,220 --> 00:01:14,640
+هعطيكوا المعادلة جاهزة اللي هي الـ NP اللي هي الـ
+
+17
+00:01:14,640 --> 00:01:16,960
+minimum number of teeth on pinion to avoid
+
+18
+00:01:16,960 --> 00:01:21,740
+interference = 2K في G + الجذر التربيعي لـG² + 1 + 2G في Sine تربيع φ على 1 + 2G
+
+19
+00:01:21,740 --> 00:01:25,820
+Sine تربيع φ  طبعا الـ G اللي عندي الـ NP هي عدد
+
+20
+00:01:25,820 --> 00:01:31,740
+اثنين الـ pinion، الـ NG عدد اثنين الجير، الـ M
+
+21
+00:01:31,740 --> 00:01:35,780
+الموديول، الـ R الـ pitch radius of the pinion، وعند
+
+22
+00:01:35,780 --> 00:01:41,170
+الـ G الـ gear ratio، عدد أسنان الـ gear على عدد أسنان
+
+23
+00:01:41,170 --> 00:01:44,070
+الـ pinion أو بيساوي الـ radius للـ gear على الـ
+
+24
+00:01:44,070 --> 00:01:47,110
+radius للـ pinion، و الـ φ pressure angle، و الـ K
+
+25
+00:01:47,110 --> 00:01:51,790
+بتعتمد هل هو full tooth ولا stop tooth، يعني full
+
+26
+00:01:51,790 --> 00:01:55,730
+tooth يعني سن كامل طويل أو سن قصير، عادة الـ K بيساوي
+
+27
+00:01:55,730 --> 00:02:00,600
+واحد، حكينا الـ G اللي هي الـ gear ratio، هذا الـ NP
+
+28
+00:02:04,500 --> 00:02:07,740
+بيعطيني عدد الحد الأدنى من الأسنان على الـ pinion
+
+29
+00:02:07,740 --> 00:02:11,620
+بحيث ما يصيرش عندي interference، يعني بحيث ما يصيرش
+
+30
+00:02:11,620 --> 00:02:16,280
+السن .. أسنان الـ .. الـ .. الـ gear تنغرز في أسنان
+
+31
+00:02:16,280 --> 00:02:16,840
+الـ pinion
+
+32
+00:02:19,880 --> 00:02:23,840
+الآن ممكن أعملها بشكل جدول، الآن الجدول اللي بيبين
+
+33
+00:02:23,840 --> 00:02:26,580
+عدد الحد الأدنى من الأسنان على الـ pinion to avoid
+
+34
+00:02:26,580 --> 00:02:32,640
+interference، في حالة 14.5° composite بيكون
+
+35
+00:02:32,640 --> 00:02:36,400
+عدد الحد الأدنى من الأسنان 12 سن، في حالة pressure
+
+36
+00:02:36,400 --> 00:02:39,420
+angle 14.5° full depth involute بيكون عند الحد
+
+37
+00:02:39,420 --> 00:02:43,270
+الأدنى من الأسنان 32 سن، في حال كانت الـ
+
+38
+00:02:43,270 --> 00:02:46,070
+pressure angle 20° full depth involute
+
+39
+00:02:46,070 --> 00:02:49,350
+بيكون الحد الأدنى من الأسنان على الـ pinion 18، في
+
+40
+00:02:49,350 --> 00:02:51,870
+حال كان الـ 20 degrees pressure angle stop
+
+41
+00:02:51,870 --> 00:02:54,730
+involute بيكون الحد الأدنى لعدد الأسنان على الـ
+
+42
+00:02:54,730 --> 00:02:57,010
+pinion بيساوي 14 سن
+
+43
+00:03:01,150 --> 00:03:04,650
+المعادلة التالية اللي هي NG = NP²sin²φ/(4K² - 4K +2NP sin²φ)
+
+44
+00:03:04,650 --> 00:03:07,210
+مانقص أربعة K تربيع على أربعة K في
+
+45
+00:03:07,210 --> 00:03:11,830
+ناقص اثنين NP sin²φ الـ NG هي الـ
+
+46
+00:03:11,830 --> 00:03:14,790
+minimum number of teeth required on gear in order
+
+47
+00:03:14,790 --> 00:03:17,510
+to avoid interference with a mating pinion، يعني
+
+48
+00:03:17,510 --> 00:03:22,670
+هذا عدد أسنان الـ gear المقابلة للـ pinion معين، عدد
+
+49
+00:03:22,670 --> 00:03:25,370
+أسنانه NP، الـ φ pressure angle، الـ K عادة
+
+50
+00:03:25,370 --> 00:03:28,930
+بتكون بيساوي واحد في حالة ضغط full depth، ممكن توصل
+
+51
+00:03:28,930 --> 00:03:30,910
+إلى 0.8 في حالة stop depth
+
+52
+00:03:35,450 --> 00:03:42,730
+نشوف examples، نحل مجموعة من الـ examples، نقرأ
+
+53
+00:03:42,730 --> 00:03:45,730
+الـ example: Determine minimum number of teeth
+
+54
+00:03:45,730 --> 00:03:49,330
+required on a pinion، وجد أقل عدد من الأسنان مطلوبة
+
+55
+00:03:49,330 --> 00:03:53,350
+على pinion in order to avoid interference، لكي
+
+56
+00:03:53,350 --> 00:04:01,010
+نتجنب التداخل، which is to gear with a gear wheel to
+
+57
+00:04:01,010 --> 00:04:05,070
+give a gear ratio of 3:1، معطيني الـ gear
+
+58
+00:04:05,070 --> 00:04:09,450
+ratio 3
+
+59
+00:04:09,450 --> 00:04:14,130
+بدوا
+
+60
+00:04:14,130 --> 00:04:18,010
+الـ minimum number of teeth on the pinion، معطيني
+
+61
+00:04:18,010 --> 00:04:22,430
+طبعا الـ pressure angle is 20 degrees، الـ
+
+62
+00:04:22,430 --> 00:04:26,410
+pressure angle بيساوي 20 degrees
+
+63
+00:04:29,900 --> 00:04:38,280
+و الـ addendum = 1 module، الـ addendum = 1
+
+64
+00:04:38,280 --> 00:04:44,580
+M، طيب
+
+65
+00:04:44,580 --> 00:04:52,440
+نرجع للمعادلة، المعادلة لعدد الأسنان الأدنى NP =
+
+66
+00:04:52,440 --> 00:04:58,820
+Pinion = 2K في
+
+67
+00:05:00,460 --> 00:05:11,700
+G + الجذر التربيعي لـG² + 1 + 2G في sin²φ على 1 + 2G
+
+68
+00:05:11,700 --> 00:05:21,400
+في sin²φ على
+
+69
+00:05:21,400 --> 00:05:25,160
+واحد
+
+70
+00:05:25,160 --> 00:05:36,070
++ 2G في sin²φ، يعني
+
+71
+00:05:36,070 --> 00:05:43,190
+نعوض، عندي 2 الـ K = 1، في G اللي هي 3 +
+
+72
+00:05:43,190 --> 00:05:47,310
+الجذر التربيعي لـ G² اللي هي التسعة + 1
+
+73
+00:05:47,310 --> 00:05:55,550
++ 2 في 3 = 6 sin²20° على
+
+74
+00:05:57,060 --> 00:06:03,300
+1 + 6 في sine²20°، يعني هيكون
+
+75
+00:06:03,300 --> 00:06:09,280
+نحسب، تسعة
+
+76
+00:06:30,050 --> 00:06:39,650
++ 3 يساوي ÷ 7
+
+77
+00:06:39,650 --> 00:06:50,130
+÷ sin بيطلع
+
+78
+00:06:50,130 --> 00:06:51,970
+7.5 في 2
+
+79
+00:06:56,960 --> 00:07:00,640
+بيطلع 14.9 يعني 15 سن
+
+80
+00:07:00,640 --> 00:07:04,740
+معناته
+
+81
+00:07:04,740 --> 00:07:08,780
+عدد الأسنان الأدنى عشان نتجنب  message interference
+
+82
+00:07:08,780 --> 00:07:14,180
+في الحالة هذه 15 سن، طيب إذا كانت two mating
+
+83
+00:07:14,180 --> 00:07:17,740
+gears نفس الأشياء، يعني نفس عدد الأسنان، إيش هيكون؟
+
+84
+00:07:17,740 --> 00:07:20,880
+هيكون الـ NP هذا في حالة الـ gear ratio بيساوي
+
+85
+00:07:20,880 --> 00:07:24,500
+3، في حالة كانت الـ gear ratio بيساوي 1
+
+86
+00:07:24,500 --> 00:07:35,280
+هيكون الـ NP = 2 في 1 في 1 + الجذر التربيعي
+
+87
+00:07:35,280 --> 00:07:40,220
+لـ 1 + 1 + 2 في 1 +
+
+88
+00:07:40,220 --> 00:07:49,740
+3 sin²20° على 3 sin²20°
+
+89
+00:07:49,740 --> 00:07:53,760
+هذا في حالة الـ gear ratio بيساوي 1، يعني
+
+90
+00:07:53,760 --> 00:07:54,560
+هيكون عندها
+
+91
+00:07:58,900 --> 00:08:07,260
+1 + الجذر التربيعي لـ 1 + 3 في sin
+
+92
+00:08:07,260 --> 00:08:16,920
+20° تربيع = في 2
+
+93
+00:08:19,670 --> 00:08:33,050
+÷ 3 ÷ sin 20° تربيع و بيطلع 12
+
+94
+00:08:33,050 --> 00:08:37,490
+.3، فـ 12.3 سن، لازم يكون عدد
+
+95
+00:08:37,490 --> 00:08:42,370
+صحيح، معناته الـ NP هيكون = 13 سن
+
+96
+00:08:46,990 --> 00:08:50,950
+بنعرفش نقول أقرب لـ 3 من 10، أقربها لـ 12 لأن
+
+97
+00:08:50,950 --> 00:08:56,690
+إذا صار 12 حيصير interference، لكن 13 مش حيصير
+
+98
+00:08:56,690 --> 00:08:58,950
+interference، يعني هذا تقريب، أنا around to the
+
+99
+00:08:58,950 --> 00:09:04,070
+upper number، طيب
+
+100
+00:09:04,070 --> 00:09:11,230
+هذا example، هنشوف
+
+101
+00:09:11,230 --> 00:09:12,170
+example تاني
+
+102
+00:09:25,010 --> 00:09:28,870
+A pair of spur gears with involute teeth is to
+
+103
+00:09:28,870 --> 00:09:33,650
+give a gear ratio of 4 to 1، عندي اثنين gears، الـ
+
+104
+00:09:33,650 --> 00:09:40,450
+gear ratio عندي 4، the arc of approach is not
+
+105
+00:09:40,450 --> 00:09:46,030
+to be less than the circular pitch، الـ arc of
+
+106
+00:09:46,030 --> 00:09:51,450
+approach مش لازم يكون أقل، مش لازم يكون أقل من الـ
+
+107
+00:09:51,450 --> 00:09:53,470
+circular pitch، يعني الـ arc of approach
+
+108
+00:09:56,060 --> 00:10:00,360
+الـ arc، الـ length of arc of approach لازم يكون
+
+109
+00:10:00,360 --> 00:10:07,720
+أكبر من الـ circular pitch، and
+
+110
+00:10:07,720 --> 00:10:12,000
+the smaller wheel is the driver، الترس الصغير هو الـ
+
+111
+00:10:12,000 --> 00:10:15,400
+driver، the pressure angle is 14.5°، الـ
+
+112
+00:10:15,400 --> 00:10:25,040
+pressure angle أصلاً 14.5 degrees، find
+
+113
+00:10:27,790 --> 00:10:32,710
+least number of teeth that can be used on each
+
+114
+00:10:32,710 --> 00:10:39,150
+wheel، بيبقى أقل عدد من الأسنان في  gears على الـ
+
+115
+00:10:39,150 --> 00:10:44,190
+pinion، على
+
+116
+00:10:44,190 --> 00:10:47,010
+الـ pinion هتكون إن ده أنا الـ pinion = 2K في
+
+117
+00:10:47,010 --> 00:10:49,570
+G + الجذر التربيعي لـ G² + 1 + 2G في
+
+118
+00:10:49,570 --> 00:10:51,630
+sin²φ على 1 + 2G sin²φ
+
+119
+00:10:51,630 --> 00:10:57,980
+يعني هتكون 2 في 1، الـ G عندي 4، الـ ratio
+
+120
+00:10:57,980 --> 00:11:03,260
+4، + الجذر التربيعي لـ 4 تربيع اللي هي 16 +
+
+121
+00:11:03,260 --> 00:11:10,340
+1 + 8 + 9، 9 sin²14.5° على
+
+122
+00:11:10,340 --> 00:11:19,560
+9 sin²14.5 degrees
+
+123
+00:11:25,020 --> 00:11:29,560
+أنا هيكون 4
+
+124
+00:11:29,560 --> 00:11:39,260
++ الجذر التربيعي لـ 16 + 9 في sin 14.5
+
+125
+00:11:39,260 --> 00:11:54,580
+تربيع = ÷ 9 ÷ sin تربيع
+
+126
+00:11:57,080 --> 00:12:00,920
+في 2 بيطلع
+
+127
+00:12:00,920 --> 00:12:08,240
+29 سن
+
+128
+00:12:08,240 --> 00:12:14,640
+معناته عدد أسنان الجير and gear بيساوي
+
+129
+00:12:14,640 --> 00:12:21,380
+29 في 4 يعني
+
+130
+00:12:21,380 --> 00:12:23,620
+هيطلع 116 سن
+
+131
+00:12:31,930 --> 00:12:36,950
+Addendum of wheel in terms of the circular
+
+132
+00:12:36,950 --> 00:12:41,870
+pitch، الـ arc
+
+133
+00:12:41,870 --> 00:12:46,170
+approach، الـ length of
+
+134
+00:12:46,170 --> 00:12:52,470
+path of approach = الجذر التربيعي لـ R²
+
+135
+00:12:52,470 --> 00:13:02,150
+- R²cos²φ - R sin φ
+
+136
+00:13:02,150 --> 00:13:12,290
+circular pitch عندي = πm =  πm
+
+137
+00:13:12,290 --> 00:13:21,050
+يعني الموديول = PC/π، طيب
+
+138
+00:13:27,080 --> 00:13:34,080
+يعني الموديول = PC/π، طيب
+
+139
+00:13:34,080 --> 00:13:38,780
+معناته الـ R =
+
+140
+00:13:38,780 --> 00:13:47,560
+m في عدد اثنين الجير هيكون
+
+141
+00:13:47,560 --> 00:13:54,640
+بيساوي الـ m اللي هي PC/π × عدد اثنين الجير اللي
+
+142
+00:13:54,640 --> 00:13:55,500
+هو 116
+
+143
+00:13:59,430 --> 00:14:06,010
+و الـ R small =  m × عدد أسنان الـ .. الـ pinion
+
+144
+00:14:06,010 --> 00:14:13,810
+يعني هيكون PC/π × عدد أسنان الـ pinion اللي هي
+
+145
+00:14:13,810 --> 00:14:19,710
+29 طيب
+
+146
+00:14:24,180 --> 00:14:27,900
+هو حاكينا الـ length of path of .. الـ length of arc
+
+147
+00:14:27,900 --> 00:14:36,060
+of contact، الـ length of arc of contact بيساوي الـ
+
+148
+00:14:36,060 --> 00:14:39,400
+limit بتاعته، بيساوي circular pitch، الـ PC
+
+149
+00:14:44,280 --> 00:14:47,940
+اللي هو بيساوي الـ length of path of approach .. of
+
+150
+00:14:47,940 --> 00:14:52,000
+path of .. length of arc of approach، length of
+
+151
+00:14:52,000 --> 00:15:00,840
+path of approach / cos φ يعني
+
+152
+00:15:00,840 --> 00:15:07,200
+الـ length of path of approach = PC × cos φ
+
+153
+00:15:07,200 --> 00:15:08,760
+φ
+
+154
+00:15:10,400 --> 00:15:18,500
+يعني هيكون عندي هنا نعوض، هيكون = الـ PC في
+
+155
+00:15:18,500 --> 00:15:29,400
+cos φ، نعوض، هيكون عندي الجذر التربيعي لـ RA²
+
+156
+00:15:29,400 --> 00:15:38,040
+- R² = PC²
+
+157
+00:15:40,480 --> 00:15:50,940
+116² على π² -
+
+158
+00:15:50,940 --> 00:16:00,840
+PC² - PC² في
+
+159
+00:16:00,840 --> 00:16:04,780
+116 على π
+
+160
+00:16:07,490 --> 00:16:13,590
+في sin، يعني طبعاً هنا cos²14.5°
+
+161
+00:16:13,590 --> 00:16:19,170
+هنا في sin 14.5
+
+162
+00:16:19,170 --> 00:16:30,430
+و نص =
+
+163
+00:16:30,430 --> 00:16:35,210
+PCA × cos φ
+
+164
+00:16:37,500 --> 00:16:46,720
+ومنها طبعاً، يعني بحسب، بحسب الـ PA، الـ RA بعد
+
+165
+00:16:46,720 --> 00:16:53,720
+بحسب الـ RA، بحكي الـ RA = a + R، يعني
+
+166
+00:16:53,720 --> 00:17:00,320
+الـ a هتكون = RA - R و بنكمل الحل
+
+167
+00:17:19,450 --> 00:17:24,330
+طيب نحل كم مثال، a
+
+168
+00:17:24,330 --> 00:17:39,330
+pair
+
+169
+00:17:39,330 --> 00:17:43,390
+of involute spur gears with 20 degrees
+
+170
+00:17:43,390 --> 00:17:47,790
+pressure angle، إحنا نعطيه pressure angle بيساوي
+
+171
+00:17:47,790 --> 00:17:48,690
+20 درجة
+
+172
+00:17:51,930 --> 00:17:59,190
+and pitch of module 6 mm، الـ module 6
+
+173
+00:17:59,190 --> 00:18:03,270
+mm، the
+
+174
+00:18:03,270 --> 00:18:08,870
+number of teeth on the pinion is 16، الـ teeth
+
+175
+00:18:08,870 --> 00:18:15,890
+بتاعة الـ pinion 16 سن، and
+
+176
+00:18:15,890 --> 00:18:24,670
+its rotation speed is بتاعة الـ pinion، معطيني 240
+
+177
+00:18:24,670 --> 00:18:32,990
+دورة في الدقيقة، 240 دورة في الدقيقة، when
+
+178
+00:18:32,990 --> 00:18:37,470
+the gear ratio is 1.75، الـ G، الـ
+
+179
+00:18:37,470 --> 00:18:46,330
+gear ratio = 1.75، find .. find in
+
+180
+00:18:46,330 --> 00:18:51,030
+order that the interference is just avoided
+
+181
+00:18:52,650 --> 00:18:59,850
+addendum on pinion and gear، بده
+
+182
+00:18:59,850 --> 00:19:04,370
+to just avoid الـ interference .. to just avoid
+
+183
+00:19:04,370 --> 00:19:10,390
+interference، بده اللي هو الـ addendum on
+
+184
+00:19:10,390 --> 00:19:14,650
+the pinion and the gear، addendum على الـ pinion وعلى
+
+185
+00:19:14,650 --> 00:19:18,270
+الـ gear، الآن الـ gear ratio = 1.75
+
+186
+00:19:18,270 --> 00:19:23
+
+223
+00:23:32,510 --> 00:23:38,470
+بعدين بحسب الـ addendum بتاع الـ gear هيكون RA-R
+
+224
+00:23:46,490 --> 00:23:50,630
+بنفس الـ logic بحكي length of path of recess
+
+225
+00:23:50,630 --> 00:23:56,750
+بيستوى الجذر التربيعي لـ RA تربيع minus R تربيع
+
+226
+00:23:56,750 --> 00:24:05,590
+cosine تربيع في minus R sine تربيع يعني على الـ .. عشان
+
+227
+00:24:05,590 --> 00:24:08,710
+يصير .. just to see on the interference لازم يكون
+
+228
+00:24:08,710 --> 00:24:16,970
+اللي .. اللي ساوي اللي هو R sine Phi ومنها بحسب الـ
+
+229
+00:24:16,970 --> 00:24:23,630
+R A بعوض بعدين الـ R A بيساوي الـ A زائد الـ A بتاعة
+
+230
+00:24:23,630 --> 00:24:27,350
+الـ pinion زائد الـ R ومنها بحسب الـ A الـ pinion سواء
+
+231
+00:24:27,350 --> 00:24:31,550
+R A minus R طيب
+
+232
+00:24:33,170 --> 00:24:39,370
+حاكم الكور خلصنا المحاضرة الرابعة، المرة الجاية بنكمل
+
+233
+00:24:39,370 --> 00:24:40,030
+أعطيكم لعبة
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vbe4zTaHMdM_postprocess.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vbe4zTaHMdM_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..fefe9263b90d0ba25d69cfb860b36902039fed5d
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vbe4zTaHMdM_postprocess.srt
@@ -0,0 +1,932 @@
+1
+00:00:02,770 --> 00:00:05,730
+بسم الله الرحمن الرحيم السلام عليكم و رحمة الله و
+
+2
+00:00:05,730 --> 00:00:11,290
+بركاته اليوم هنكمل في مادة نظرية الألات و هنكمل في
+
+3
+00:00:11,290 --> 00:00:18,250
+chapter الجير ال gears المحاضرة الفاتتة اللي كانت
+
+4
+00:00:18,250 --> 00:00:22,730
+المحاضرة التالتة حكينا عن ال interference بين ال
+
+5
+00:00:22,730 --> 00:00:29,370
+opinion و الجير حكينا إذا صار السن اللي هو ال ..
+
+6
+00:00:29,750 --> 00:00:35,510
+الـ addendum circle اللي driven لمست .. لمست السن
+
+7
+00:00:35,510 --> 00:00:40,490
+تاع ال penion تحت ال base circle بيصير انغراز لسن
+
+8
+00:00:40,490 --> 00:00:44,930
+الجير في سن ال penion و بيصير تآكل بين الأسنان
+
+9
+00:00:44,930 --> 00:00:49,810
+تاعت الترس وهذا لا يجوز لازم ان احنا نتجنب انه
+
+10
+00:00:49,810 --> 00:00:52,510
+يصير interference عشان نتجنب interference في عندى
+
+11
+00:00:52,510 --> 00:00:55,730
+minimum number of teeth في عندى حد قدر من الأسنان
+
+12
+00:00:55,730 --> 00:00:59,940
+على ال penionلازم يكون عدل السنان أكبر منه يعني
+
+13
+00:00:59,940 --> 00:01:03,600
+أقل عدد ممكن بعد أو تحت هذا الرقم بيصير عنده
+
+14
+00:01:03,600 --> 00:01:06,460
+interference above this number of teeth ما بيصير
+
+15
+00:01:06,460 --> 00:01:11,220
+عنده interference مش هخش في تفاصيل اشتقاق المعادلة
+
+16
+00:01:11,220 --> 00:01:14,640
+هعطيكوا المعادلة جاهزة اللي هي ال NP اللي هي ال
+
+17
+00:01:14,640 --> 00:01:16,960
+minimum number of teeth on pinion to avoid
+
+18
+00:01:16,960 --> 00:01:21,740
+interferenceتستوى 2K في G زي الجزء التربيع لG
+
+19
+00:01:21,740 --> 00:01:25,820
+تربيع زي 1 زي 2G في Sine تربيع الفاية على 1 زي 2G
+
+20
+00:01:25,820 --> 00:01:31,740
+Sine تربيع الفاية طبعا ال G اللي عندى ال NP هي عدد
+
+21
+00:01:31,740 --> 00:01:35,780
+أثنان ال pinion ال NG عدد أثنان الجير ال M
+
+22
+00:01:35,780 --> 00:01:41,170
+الموديول ال R ال pitch radius of the pinionوعند
+
+23
+00:01:41,170 --> 00:01:44,070
+الـ G الـ gear ratio عدد أسنان الـ gear عدد أسنان
+
+24
+00:01:44,070 --> 00:01:47,110
+ال pinion أو بيستوى ال radius للـ gear على ال
+
+25
+00:01:47,110 --> 00:01:51,790
+radius لل pinion و ال file pressure angle و ال K
+
+26
+00:01:51,790 --> 00:01:55,730
+بتعتمد هل هو full tooth ولا stop tooth يعني full
+
+27
+00:01:55,730 --> 00:02:00,600
+tooth يعني سن كامل طويلأو سن قصير عادة ال K بيساوي
+
+28
+00:02:00,600 --> 00:02:04,500
+واحد حكينا ال G اللي هي ال gear ratio هذا ال NP
+
+29
+00:02:04,500 --> 00:02:07,740
+بيعطيني عدد الحد الأدنى من الأسنان على ال pinion
+
+30
+00:02:07,740 --> 00:02:11,620
+بحيث مايصيرش عندي interference يعني بحيث مايصيرش
+
+31
+00:02:11,620 --> 00:02:16,280
+السن .. أسنان ال .. ال .. ال gear تنغرز في أسنان
+
+32
+00:02:16,280 --> 00:02:16,840
+ال pinion
+
+33
+00:02:19,880 --> 00:02:23,840
+الان ممكن اعملها بشكل جدول الان الجدول اللي بيبيني
+
+34
+00:02:23,840 --> 00:02:26,580
+عدد الحد الأدنى الأسنان على ال pinion to avoid
+
+35
+00:02:26,580 --> 00:02:32,640
+interference في حالة اربعتاش و نص composite بيكون
+
+36
+00:02:32,640 --> 00:02:36,400
+عدد الحد الأدنى الأسنان اتناشر سن في حالة pressure
+
+37
+00:02:36,400 --> 00:02:39,420
+أي اربعتاش و نص full depth involute بيكون عند الحد
+
+38
+00:02:39,420 --> 00:02:43,270
+الأدنى الأسنان اتنين و تلاتين سنفي حال كانت ال
+
+39
+00:02:43,270 --> 00:02:46,070
+pressure angle عشرين درجة full depth involute
+
+40
+00:02:46,070 --> 00:02:49,350
+بيكون حد الأدنى الأسنان على ال penion تمانتاش، في
+
+41
+00:02:49,350 --> 00:02:51,870
+حال كان ال twenty degrees pressure angle stop
+
+42
+00:02:51,870 --> 00:02:54,730
+involute بيكون حد الأدنى العد الأسنان على ال
+
+43
+00:02:54,730 --> 00:02:57,010
+penion بالساوية أربعتاشر سنة
+
+44
+00:03:01,150 --> 00:03:04,650
+المعادل التالي اللي هي NG بيستوى N P Square Sine
+
+45
+00:03:04,650 --> 00:03:07,210
+Square Phi مانصة أربعة K Square على أربعة K فى
+
+46
+00:03:07,210 --> 00:03:11,830
+minus اتنين N P Sine Square Phi الـ NG هي ال
+
+47
+00:03:11,830 --> 00:03:14,790
+minimum number of teeth required on gear in order
+
+48
+00:03:14,790 --> 00:03:17,510
+to avoid interference with a mating pinion يعني
+
+49
+00:03:17,510 --> 00:03:22,670
+هذا عدد أسنان المقابلة للجير مع pinion معين عدد
+
+50
+00:03:22,670 --> 00:03:25,370
+أسنانه N P الـ Phi ال pressure angle الـ K عادة
+
+51
+00:03:25,370 --> 00:03:28,930
+بتكون تستوى واحد في حالة ضغط full depth ممكن توصل
+
+52
+00:03:28,930 --> 00:03:30,910
+point تمانية في حالة stop depth
+
+53
+00:03:35,450 --> 00:03:42,730
+نشوف examples نحيل مجموعة من ال examples نقرأ
+
+54
+00:03:42,730 --> 00:03:45,730
+ال example determine minimum number of teeth
+
+55
+00:03:45,730 --> 00:03:49,330
+required on a pinion وجد أقل عدد من الأسنان مطلوبة
+
+56
+00:03:49,330 --> 00:03:53,350
+على pinion in order to avoid interference لكي
+
+57
+00:03:53,350 --> 00:04:01,010
+نتجنب التداخل which is to gear witha gear wheel to
+
+58
+00:04:01,010 --> 00:04:05,070
+give a gear ratio of تلاتة واحد معطيني ال gear
+
+59
+00:04:05,070 --> 00:04:09,450
+ratio تلاتة
+
+60
+00:04:09,450 --> 00:04:14,130
+بدوا
+
+61
+00:04:14,130 --> 00:04:18,010
+ال minimum number of teeth on the pinion معطيني
+
+62
+00:04:18,010 --> 00:04:22,430
+طبعا ال pressure angle is twenty degrees ال
+
+63
+00:04:22,430 --> 00:04:26,410
+pressure angle بستوية عشرين degrees
+
+64
+00:04:29,900 --> 00:04:38,280
+و ال addendum واحد module ال addendum واحد
+
+65
+00:04:38,280 --> 00:04:44,580
+M طيب
+
+66
+00:04:44,580 --> 00:04:52,440
+نرجع للمعادلة المعادلة لعدد الأسنان الأدنى N P N
+
+67
+00:04:52,440 --> 00:04:58,820
+Pinion بالساوية نين K في
+
+68
+00:05:00,460 --> 00:05:11,700
+G زي الجزر التربيعي لجي تربية زي واحد زي اتنين جي
+
+69
+00:05:11,700 --> 00:05:21,400
+في sin square في في على
+
+70
+00:05:21,400 --> 00:05:25,160
+واحد
+
+71
+00:05:25,160 --> 00:05:36,070
+زي اتنين جيفى sin² فاى يعني
+
+72
+00:05:36,070 --> 00:05:43,190
+نعوض عند اتنين ال K واحد فى G اللى هى تلاتة زاد
+
+73
+00:05:43,190 --> 00:05:47,310
+جزر التربيع على G تربيع اللى هى التسعة زاد واحد
+
+74
+00:05:47,310 --> 00:05:55,550
+زاد اتنين فى تلاتة ستة sin² العشرين على
+
+75
+00:05:57,060 --> 00:06:03,300
+واحد زائد ستة في sine square العشرين يعني هيكون
+
+76
+00:06:03,300 --> 00:06:09,280
+نحسب تسعة
+
+77
+00:06:30,050 --> 00:06:39,650
+زاد تلاتة يساوي تقسيم سبعة
+
+78
+00:06:39,650 --> 00:06:50,130
+تقسيم sign بيطلع
+
+79
+00:06:50,130 --> 00:06:51,970
+سبعة و نص في اتنين
+
+80
+00:06:56,960 --> 00:07:00,640
+بطلع اربع تاش مون تس و تمانى يعني خمس تاشر سن
+
+81
+00:07:00,640 --> 00:07:04,740
+معناته
+
+82
+00:07:04,740 --> 00:07:08,780
+عدد الأسنان الأدنى عشان اتجنب message interference
+
+83
+00:07:08,780 --> 00:07:14,180
+في الحالة هذه خمس تاشر سن طيب إذا كانت two mating
+
+84
+00:07:14,180 --> 00:07:17,740
+gears نفس الأشياء يعني نفس عدد الأسنان إيش هيكون؟
+
+85
+00:07:17,740 --> 00:07:20,880
+هيكون ال N P هذا في حالة ال gear ratio بالساوية
+
+86
+00:07:20,880 --> 00:07:24,500
+تلاتة في حالة كانت ال gear ratio بالساوية واحد
+
+87
+00:07:24,500 --> 00:07:35,280
+هيكون ال N Pبساوة اتنين في واحد في واحد زائد الجزر
+
+88
+00:07:35,280 --> 00:07:40,220
+التربيعي لواحد زائد واحد زائد اتنين في واحد زائد
+
+89
+00:07:40,220 --> 00:07:49,740
+تلاتة sign squared العشرين على تلاتة sign squared
+
+90
+00:07:49,740 --> 00:07:53,760
+العشرين هذا في حالة ال grade ratio بساوة واحد يعني
+
+91
+00:07:53,760 --> 00:07:54,560
+هيكون عندها
+
+92
+00:07:58,900 --> 00:08:07,260
+واحد زاد الجزر التربيعي لواحد زاد تلاتة في sign
+
+93
+00:08:07,260 --> 00:08:16,920
+العشرين تربيع يساوى في اتنين
+
+94
+00:08:19,670 --> 00:08:33,050
+تقسيم تلاتة تقسيم ساين العشرين تربيع واطلع اتناش
+
+95
+00:08:33,050 --> 00:08:37,490
+point تلاتة فش اتناش point تلات سن لازم يكون عدد
+
+96
+00:08:37,490 --> 00:08:42,370
+صحيح معناته ال LB هيكون ساوي تلتاشر سن
+
+97
+00:08:46,990 --> 00:08:50,950
+بنفعش احكي اقرب لان تلاتة من عشر اقربها لاتناش لان
+
+98
+00:08:50,950 --> 00:08:56,690
+اذا صار اتناش حصير interference لكن تلاتاش مش حصير
+
+99
+00:08:56,690 --> 00:08:58,950
+interference يعني هذا تقريب انا around to the
+
+100
+00:08:58,950 --> 00:09:04,070
+upper number طيب
+
+101
+00:09:04,070 --> 00:09:11,230
+هذا example هنشوف
+
+102
+00:09:11,230 --> 00:09:12,170
+example تاني
+
+103
+00:09:25,010 --> 00:09:28,870
+a pair of spar gears with involute teeth is to
+
+104
+00:09:28,870 --> 00:09:33,650
+give a gear ratio of 4 to 1 عندي اتنين gears ال
+
+105
+00:09:33,650 --> 00:09:40,450
+gear ratio عندي اربعة the arc of approach is not
+
+106
+00:09:40,450 --> 00:09:46,030
+to be less than the circular pitch ال arc of
+
+107
+00:09:46,030 --> 00:09:51,450
+approach مش لازم يكون اقل مش لازم يكون اقل من ال
+
+108
+00:09:51,450 --> 00:09:53,470
+circular pitch يعني ال arc of approach
+
+109
+00:09:56,060 --> 00:10:00,360
+الـ arc ال length of arc of approach لازم يكون
+
+110
+00:10:00,360 --> 00:10:07,720
+أكبر من ال circular pitch and
+
+111
+00:10:07,720 --> 00:10:12,000
+the smaller wheel is the driver الترس الصغير هو ال
+
+112
+00:10:12,000 --> 00:10:15,400
+driver the angle of pressure is أربع تاشر و نص ال
+
+113
+00:10:15,400 --> 00:10:25,040
+pressure angle اصلا أربع تاشر و نص degrees find
+
+114
+00:10:27,790 --> 00:10:32,710
+least number of teeth that can be used on each
+
+115
+00:10:32,710 --> 00:10:39,150
+wheel بيبقى أقل عدد من الأسنان في cultures ع ال
+
+116
+00:10:39,150 --> 00:10:44,190
+penion ع
+
+117
+00:10:44,190 --> 00:10:47,010
+ال penion هتكون ان ده انا ال penion سوى اتنين K في
+
+118
+00:10:47,010 --> 00:10:49,570
+G زائد جزء تربيه على G تربيه زائد واحد اتنين G في
+
+119
+00:10:49,570 --> 00:10:51,630
+صين تربيه فياه على واحد اتنين G صين تربيه فياه
+
+120
+00:10:51,630 --> 00:10:57,980
+يعني هتكون اتنين في واحدالـ G عندي أربعة ال ratio
+
+121
+00:10:57,980 --> 00:11:03,260
+أربعة زي جزر التربيع الأربعة تربيع اللي هي ستاش زي
+
+122
+00:11:03,260 --> 00:11:10,340
+واحد زي تمانية زي تسعة تسعة sine square الأربعتاش
+
+123
+00:11:10,340 --> 00:11:19,560
+و نص على تسعة sine square الأربعتاش و نص degrees
+
+124
+00:11:25,020 --> 00:11:29,560
+انا هكون اربع
+
+125
+00:11:29,560 --> 00:11:39,260
+زي جزر التربيع لا ستاش زي تسعة في sign الاربعتاش و
+
+126
+00:11:39,260 --> 00:11:54,580
+نص تربيع يساوي تقسيم تسعة تقسيم sign تربيع
+
+127
+00:11:57,080 --> 00:12:00,920
+فى اتنين تطلع
+
+128
+00:12:00,920 --> 00:12:08,240
+تسعة و عشرين سنة
+
+129
+00:12:08,240 --> 00:12:14,640
+معناه تتاع أسنان الجير and جير بساوة
+
+130
+00:12:14,640 --> 00:12:21,380
+تسعة و عشرين فى أربعة يعني
+
+131
+00:12:21,380 --> 00:12:23,620
+هيطلع مية و ستاشر سنة
+
+132
+00:12:31,930 --> 00:12:36,950
+Pedo addendum of wheel in terms of the circular
+
+133
+00:12:36,950 --> 00:12:41,870
+pitch الاركو
+
+134
+00:12:41,870 --> 00:12:46,170
+approach ال length of
+
+135
+00:12:46,170 --> 00:12:52,470
+path of approach بيساوي الجزر التربيعي للار اي
+
+136
+00:12:52,470 --> 00:13:02,150
+تربيع minus الار تربيع cos تربيعالـ Phi minus ال R
+
+137
+00:13:02,150 --> 00:13:12,290
+sine ال Phi ال
+
+138
+00:13:12,290 --> 00:13:21,050
+circular pitch عندى بي في الموديول بي في الموديول
+
+139
+00:13:27,080 --> 00:13:34,080
+يعني الموديول بيساوي PC على PI طيب
+
+140
+00:13:34,080 --> 00:13:38,780
+معناته ال R بيساوي
+
+141
+00:13:38,780 --> 00:13:47,560
+M في العدد أثنان الجير هيكون
+
+142
+00:13:47,560 --> 00:13:54,640
+يساوي ال M اللي هي PC على PI عدد أثنان الجير اللي
+
+143
+00:13:54,640 --> 00:13:55,500
+هو 116
+
+144
+00:13:59,430 --> 00:14:06,010
+و ال R small بيستوقم في عدد أسنان ال .. ال pinion
+
+145
+00:14:06,010 --> 00:14:13,810
+يعني هيكون Pc على Pi عدد أسنان ال pinion اللي هي
+
+146
+00:14:13,810 --> 00:14:19,710
+تسعة و عشرين طيب
+
+147
+00:14:24,180 --> 00:14:27,900
+هو حاكين ال length of path of .. ال length of arc
+
+148
+00:14:27,900 --> 00:14:36,060
+of contact ال length of arc of contact بستوي ال
+
+149
+00:14:36,060 --> 00:14:39,400
+limit بتاعته بستوي sticker pitch ال PC
+
+150
+00:14:44,280 --> 00:14:47,940
+اللي هو بيساوي ال length of path of approach .. of
+
+151
+00:14:47,940 --> 00:14:52,000
+path of .. length of arc of approach length of
+
+152
+00:14:52,000 --> 00:15:00,840
+path of approach على cosine الفي يعني
+
+153
+00:15:00,840 --> 00:15:07,200
+ال length of path of approach بيساوي Pc في cosine
+
+154
+00:15:07,200 --> 00:15:08,760
+الفي
+
+155
+00:15:10,400 --> 00:15:18,500
+يعني هكون عندي هنا انعوض هكون بيستوى ال PC في
+
+156
+00:15:18,500 --> 00:15:29,400
+cosine الفي انعوض هكون عندي الجزر التربيعي ل RA
+
+157
+00:15:29,400 --> 00:15:38,040
+تربيع minus ال R عبارة عن PC
+
+158
+00:15:40,480 --> 00:15:50,940
+تربيع في مية و ستاش تربيع على باي تربيع minus
+
+159
+00:15:50,940 --> 00:16:00,840
+PCE minus PCE في
+
+160
+00:16:00,840 --> 00:16:04,780
+مية و ستاش على باي
+
+161
+00:16:07,490 --> 00:16:13,590
+فى sin يعني طبعا هنا cosine تربيع الاربعتاش و نص
+
+162
+00:16:13,590 --> 00:16:19,170
+هنا في sin الاربعتاش
+
+163
+00:16:19,170 --> 00:16:30,430
+و نص بتستوى
+
+164
+00:16:30,430 --> 00:16:35,210
+الPCA فى cosine الفاية
+
+165
+00:16:37,500 --> 00:16:46,720
+ومنها طبعا يعني بحسب بحسب ال P A ال R A بعد
+
+166
+00:16:46,720 --> 00:16:53,720
+بحسب ال R A بحكي ال R A بيساوي ال A زائد ال R يعني
+
+167
+00:16:53,720 --> 00:17:00,320
+ال A هتكون ال R A minus ال R و بنكمل الحلة
+
+168
+00:17:19,450 --> 00:17:24,330
+طيب انحل كم مثال a
+
+169
+00:17:24,330 --> 00:17:39,330
+pair
+
+170
+00:17:39,330 --> 00:17:43,390
+of involute spar gears with twenty degrees
+
+171
+00:17:43,390 --> 00:17:47,790
+pressure angle احنا نعطيه pressure angle بالساوة
+
+172
+00:17:47,790 --> 00:17:48,690
+عشرين درجة
+
+173
+00:17:51,930 --> 00:17:59,190
+and pitch of module ستة مليمتر ال module ستة
+
+174
+00:17:59,190 --> 00:18:03,270
+مليمتر the
+
+175
+00:18:03,270 --> 00:18:08,870
+number of teeth on the pinion is sixteen ال teeth
+
+176
+00:18:08,870 --> 00:18:15,890
+بتاعة ال pinion ستاشر سن and
+
+177
+00:18:15,890 --> 00:18:24,670
+its rotation speed and بتاعة ال pinionماعطينا 240
+
+178
+00:18:24,670 --> 00:18:32,990
+دورة في الدقيقة 240 دورة في الدقيقة when
+
+179
+00:18:32,990 --> 00:18:37,470
+the gear ratio is one point seven five الـ G ال
+
+180
+00:18:37,470 --> 00:18:46,330
+gear ratio بس واحد point سبعة خمسة find .. find on
+
+181
+00:18:46,330 --> 00:18:51,030
+order that the interference is just avoided
+
+182
+00:18:52,650 --> 00:18:59,850
+addendum on pinion and gear wear بده
+
+183
+00:18:59,850 --> 00:19:04,370
+to just avoid ال interference .. to just avoid
+
+184
+00:19:04,370 --> 00:19:10,390
+interference بده اللي هو ال addendum on
+
+185
+00:19:10,390 --> 00:19:14,650
+the pinion and the gearلدنيوم على ال pinion وعلى
+
+186
+00:19:14,650 --> 00:19:18,270
+ال gear الان ال gear ratio one point seven five
+
+187
+00:19:18,270 --> 00:19:23,210
+معناته ال T على سنان الجير هيكون ستاش في واحد
+
+188
+00:19:23,210 --> 00:19:29,290
+point سبعة خمسة يعني هيكون ستاش
+
+189
+00:19:29,290 --> 00:19:34,070
+على
+
+190
+00:19:34,070 --> 00:19:37,390
+سنان الجير هيكون تمانية و عشرين سنة تمانية و عشرين
+
+191
+00:19:42,140 --> 00:19:46,620
+هنحسب ال R pitch radius ال pitch radius لل Panion
+
+192
+00:19:46,620 --> 00:19:51,680
+هكون ال module ستة في عدد الإسنان على اتنين يعني
+
+193
+00:19:51,680 --> 00:19:56,120
+ست تمانية تمانية و اربعين ملي متر و ال pitch
+
+194
+00:19:56,120 --> 00:20:01,040
+radius للجير هيكون تمانية الموديول في تمانية و
+
+195
+00:20:01,040 --> 00:20:07,680
+عشرين على اتنين يعني ستة في اربعتاشستة في اربعة ..
+
+196
+00:20:07,680 --> 00:20:12,100
+اربعة .. ستة في اربعتاش يعني اربعة و تمانين بتأكد
+
+197
+00:20:12,100 --> 00:20:20,040
+بس ستة في اربعتاش اربعة و تمانين millimeter
+
+198
+00:20:20,040 --> 00:20:25,820
+طيب
+
+199
+00:20:25,820 --> 00:20:32,520
+just
+
+200
+00:20:32,520 --> 00:20:38,610
+to avoid interference لازم يكونالـ length of path
+
+201
+00:20:38,610 --> 00:20:42,390
+of approach ممتوح للغاية اللي قلتها دي نرجع لجوا
+
+202
+00:20:42,390 --> 00:20:46,530
+ال
+
+203
+00:20:46,530 --> 00:20:59,570
+length
+
+204
+00:20:59,570 --> 00:21:02,350
+of path of approach هيكون r sin phi
+
+205
+00:21:05,390 --> 00:21:13,530
+و length of path of recess هكون ر كابتل صين فيه هت
+
+206
+00:21:13,530 --> 00:21:25,630
+avoid interference طيب
+
+207
+00:21:25,630 --> 00:21:31,310
+برضه ال length of path of approach بيساوي الجزر
+
+208
+00:21:31,310 --> 00:21:38,580
+التربيعيللـ R capital A تربيع minus ال R تربيع
+
+209
+00:21:38,580 --> 00:21:50,500
+cosine تربيع Phi minus ال R capital sine Phi ال
+
+210
+00:21:50,500 --> 00:21:59,960
+critical هيكون هذا يساوي R small sine Phi يعني
+
+211
+00:21:59,960 --> 00:22:06,140
+هيكون عنده الجزر التربيعيللـ ra تربيع minus r
+
+212
+00:22:06,140 --> 00:22:12,040
+تربيع square cosine تربيع فيه هيكون السواء ر small
+
+213
+00:22:12,040 --> 00:22:22,020
+زاد ر capital sin فيه إذا بربع الطرفين هيصير عندي
+
+214
+00:22:22,020 --> 00:22:32,520
+ra تربيع بيساوي ر تربيع cosine تربيع فيه
+
+215
+00:22:34,540 --> 00:22:40,180
+زاد R Small زاد R Capital الكل تربيع Sine Square
+
+216
+00:22:40,180 --> 00:22:47,660
+Phi يعني لو اوضح عن R اللي هي اربعة وتمانين تربيع
+
+217
+00:22:47,660 --> 00:22:54,140
+Cos تربيع العشرين زاد ستاش زاد تمانية عشرين الكل
+
+218
+00:22:54,140 --> 00:23:00,540
+تربيع Sine تربيع العشرينومنها بحسب الار ايه الار
+
+219
+00:23:00,540 --> 00:23:08,240
+ايه هتطلع تطلع تمانين تمانين
+
+220
+00:23:08,240 --> 00:23:15,520
+point
+
+221
+00:23:15,520 --> 00:23:25,420
+تلاتة ستة ها في إيش غلط في إيش غلط طيب هذا الرقم
+
+222
+00:23:25,420 --> 00:23:32,510
+مش صحيح هذا الرقمغير صحيح اتأكدوش المشكلة؟ اللي هو
+
+223
+00:23:32,510 --> 00:23:38,470
+بعدين بحسب ال addendum بتاع ال gear هيكون RA-R
+
+224
+00:23:46,490 --> 00:23:50,630
+بنفس الـ logic بحكي length of path of recess
+
+225
+00:23:50,630 --> 00:23:56,750
+بيستوى الجزر التربيعي لRA تربيع minus R تربيع
+
+226
+00:23:56,750 --> 00:24:05,590
+cosine تربيع في minus R sine فييعني على ال .. عشان
+
+227
+00:24:05,590 --> 00:24:08,710
+يصير .. just to see on the interference لازم يكون
+
+228
+00:24:08,710 --> 00:24:16,970
+اللي .. اللي ساوي اللي هو R sine Phi ومنها بحسب ال
+
+229
+00:24:16,970 --> 00:24:23,630
+R A بعوض بعدين ال R A بيساوي ال A زاد ال A بتاعة
+
+230
+00:24:23,630 --> 00:24:27,350
+ال pinion زاد ال R ومنها بحسب ال A ال pinion سواء
+
+231
+00:24:27,350 --> 00:24:31,550
+R A minus R طيب
+
+232
+00:24:33,170 --> 00:24:39,370
+حاكم الكور خلصنا المحاضرة الرابعة المرة جاي بنكمل
+
+233
+00:24:39,370 --> 00:24:40,030
+اعطيكوا لعابة
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vbe4zTaHMdM_raw.json b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vbe4zTaHMdM_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..b1919802fd26aa1542fd9e76c0f5129f5dd9f45e
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vbe4zTaHMdM_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2937, "start": 2.77, "end": 29.37, "text": "بسم الله الرحمن الرحيم السلام عليكم و رحمة الله و بركاته اليوم هنكمل في مادة نظرية الألات و هنكمل في chapter الجير ال gears المحاضرة الفاتتة اللي كانت المحاضرة التالتة حكينا عن ال interference بين ال opinion و الجير حكينا إذا صار السن اللي هو ال ..", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21136, 37440, 25894, 24793, 4032, 12602, 35571, 3660, 21984, 4032, 4724, 31747, 9307, 3224, 45595, 20498, 8032, 1863, 24793, 1211, 8978, 3714, 18513, 3660, 8717, 19913, 2288, 10632, 16247, 1211, 9307, 4032, 8032, 1863, 24793, 1211, 8978, 7187, 25724, 13546, 2423, 20915, 9673, 5016, 46958, 25720, 27188, 9307, 2655, 3660, 13672, 1829, 25961, 2655, 9673, 5016, 46958, 25720, 16712, 6027, 2655, 3660, 11331, 4117, 1829, 8315, 18871, 2423, 24497, 49374, 2423, 4800, 4032, 25724, 13546, 11331, 4117, 1829, 8315, 11933, 15730, 20328, 9640, 21136, 1863, 13672, 1829, 31439, 2423, 4386], "avg_logprob": 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36928, "start": 357.06, "end": 369.28, "text": "واحد زائد ستة في sine square العشرين يعني هيكون نحسب تسعة", "tokens": [14407, 24401, 30767, 16373, 3215, 8608, 2655, 3660, 8978, 18609, 3732, 18863, 46309, 9957, 37495, 22653, 39896, 30544, 8717, 5016, 35457, 6055, 3794, 27884], "avg_logprob": -0.3903125095367432, "compression_ratio": 1.032967032967033, "no_speech_prob": 0.0, "words": [{"start": 357.06, "end": 357.76, "word": "واحد", "probability": 0.58612060546875}, {"start": 357.76, "end": 358.18, "word": " زائد", "probability": 0.7080078125}, {"start": 358.18, "end": 359.36, "word": " ستة", "probability": 0.98486328125}, {"start": 359.36, "end": 359.84, "word": " في", "probability": 0.469482421875}, {"start": 359.84, "end": 360.08, "word": " sine", "probability": 0.12213134765625}, {"start": 360.08, "end": 360.56, "word": " square", "probability": 0.6982421875}, {"start": 360.56, "end": 362.3, "word": " العشرين", "probability": 0.8668619791666666}, {"start": 362.3, "end": 362.82, 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"probability": 0.7960611979166666}, {"start": 453.8, "end": 455.28, "word": " الجزر", "probability": 0.90966796875}, {"start": 455.28, "end": 456.04, "word": " التربيعي", "probability": 0.769921875}, {"start": 456.04, "end": 457.44, "word": " لواحد", "probability": 0.8689778645833334}, {"start": 457.44, "end": 458.16, "word": " زائد", "probability": 0.8875325520833334}, {"start": 458.16, "end": 459.12, "word": " واحد", "probability": 0.825439453125}, {"start": 459.12, "end": 459.38, "word": " زائد", "probability": 0.9501953125}, {"start": 459.38, "end": 459.58, "word": " اتنين", "probability": 0.777740478515625}, {"start": 459.58, "end": 459.64, "word": " في", "probability": 0.5}, {"start": 459.64, "end": 459.78, "word": " واحد", "probability": 0.776123046875}, {"start": 459.78, "end": 460.22, "word": " زائد", "probability": 0.9041341145833334}, {"start": 460.22, "end": 461.08, "word": " تلاتة", "probability": 0.940673828125}, {"start": 461.08, "end": 462.04, "word": " sign", "probability": 0.290771484375}, {"start": 462.04, "end": 462.6, "word": " squared", "probability": 0.32177734375}, {"start": 462.6, "end": 464.5, "word": " العشرين", "probability": 0.8074544270833334}, {"start": 464.5, "end": 466.32, "word": " على", "probability": 0.64794921875}, {"start": 466.32, "end": 468.2, "word": " تلاتة", "probability": 0.970458984375}, {"start": 468.2, "end": 469.24, "word": " sign", "probability": 0.82568359375}, {"start": 469.24, "end": 469.74, "word": " squared", "probability": 0.81201171875}, {"start": 469.74, "end": 470.52, "word": " العشرين", "probability": 0.9591471354166666}, {"start": 470.52, "end": 470.68, "word": " هذا", "probability": 0.60009765625}, {"start": 470.68, "end": 470.84, "word": " في", "probability": 0.95703125}, {"start": 470.84, "end": 471.36, "word": " حالة", "probability": 0.99609375}, {"start": 471.36, "end": 472.24, "word": " ال", "probability": 0.8095703125}, {"start": 472.24, "end": 472.42, "word": " grade", "probability": 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"word": " يساوى", "probability": 0.871875}, {"start": 494.08, "end": 496.26, "word": " في", "probability": 0.6328125}, {"start": 496.26, "end": 496.92, "word": " اتنين", "probability": 0.956787109375}], "temperature": 1.0}, {"id": 20, "seek": 52237, "start": 499.67, "end": 522.37, "text": "تقسيم تلاتة تقسيم ساين العشرين تربيع واطلع اتناش point تلاتة فش اتناش point تلات سن لازم يكون عدد صحيح معناته ال LB هيكون ساوي تلتاشر سن", "tokens": [2655, 4587, 3794, 32640, 6055, 1211, 9307, 3660, 6055, 4587, 3794, 32640, 8608, 995, 9957, 18863, 46309, 9957, 6055, 2288, 21292, 3615, 4032, 41193, 1211, 3615, 1975, 2655, 1863, 33599, 935, 6055, 1211, 9307, 3660, 6156, 8592, 1975, 2655, 1863, 33599, 935, 6055, 1211, 9307, 8608, 1863, 5296, 31377, 2304, 7251, 30544, 6225, 3215, 3215, 20328, 5016, 1829, 5016, 20449, 8315, 47395, 2423, 441, 33, 39896, 30544, 8608, 995, 45865, 6055, 1211, 2655, 33599, 2288, 8608, 1863], "avg_logprob": -0.300480781075282, "compression_ratio": 1.6319444444444444, 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{"start": 531.09, "end": 531.33, "word": " صار", "probability": 0.9384765625}, {"start": 531.33, "end": 531.93, "word": " اتناش", "probability": 0.89892578125}, {"start": 531.93, "end": 533.15, "word": " حصير", "probability": 0.6041666666666666}, {"start": 533.15, "end": 533.91, "word": " interference", "probability": 0.88916015625}, {"start": 533.91, "end": 535.63, "word": " لكن", "probability": 0.7412109375}, {"start": 535.63, "end": 536.17, "word": " تلاتاش", "probability": 0.905517578125}, {"start": 536.17, "end": 536.35, "word": " مش", "probability": 0.97509765625}, {"start": 536.35, "end": 536.69, "word": " حصير", "probability": 0.9640299479166666}, {"start": 536.69, "end": 537.09, "word": " interference", "probability": 0.8642578125}, {"start": 537.09, "end": 537.35, "word": " يعني", "probability": 0.888916015625}, {"start": 537.35, "end": 537.59, "word": " هذا", "probability": 0.64404296875}, {"start": 537.59, "end": 538.03, "word": " تقريب", "probability": 0.9951171875}, 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51, "seek": 141847, "start": 1408.69, "end": 1418.47, "text": "غير صحيح اتأكدوش المشكلة؟ اللي هو بعدين بحسب ال addendum بتاع ال gear هيكون RA-R", "tokens": [17082, 13546, 20328, 5016, 1829, 5016, 1975, 2655, 10721, 4117, 3215, 2407, 8592, 9673, 8592, 28820, 3660, 22807, 13672, 1829, 31439, 39182, 9957, 4724, 5016, 35457, 2423, 909, 27574, 39894, 45761, 2423, 7394, 39896, 30544, 14626, 12, 49], "avg_logprob": -0.3409455189338097, "compression_ratio": 1.1016949152542372, "no_speech_prob": 0.0, "words": [{"start": 1408.69, "end": 1409.07, "word": "غير", "probability": 0.8623046875}, {"start": 1409.07, "end": 1410.07, "word": " صحيح", "probability": 0.98095703125}, {"start": 1410.07, "end": 1410.61, "word": " اتأكدوش", "probability": 0.7205113002232143}, {"start": 1410.61, "end": 1412.29, "word": " المشكلة؟", "probability": 0.818896484375}, {"start": 1412.29, "end": 1412.43, "word": " اللي", "probability": 0.6607666015625}, {"start": 1412.43, "end": 1412.51, "word": " هو", "probability": 0.2373046875}, {"start": 1412.51, "end": 1412.83, "word": " بعدين", "probability": 0.729736328125}, {"start": 1412.83, "end": 1413.29, "word": " بحسب", "probability": 0.94287109375}, {"start": 1413.29, "end": 1413.47, "word": " ال", "probability": 0.96484375}, {"start": 1413.47, "end": 1413.97, "word": " addendum", "probability": 0.567138671875}, {"start": 1413.97, "end": 1414.33, "word": " بتاع", "probability": 0.92724609375}, {"start": 1414.33, "end": 1414.49, "word": " ال", "probability": 0.87060546875}, {"start": 1414.49, "end": 1414.87, "word": " gear", "probability": 0.84521484375}, {"start": 1414.87, "end": 1415.85, "word": " هيكون", "probability": 0.6224365234375}, {"start": 1415.85, "end": 1416.39, "word": " RA", "probability": 0.353759765625}, {"start": 1416.39, "end": 1418.47, "word": "-R", "probability": 0.5748291015625}], "temperature": 1.0}, {"id": 52, "seek": 144199, "start": 1426.49, "end": 1441.99, "text": "بنفس الـ logic بحكي length of path of recess بيستوى الجزر التربيعي لRA تربيع minus R تربيع cosine تربيع في minus R sine في", "tokens": [3555, 1863, 36178, 2423, 39184, 9952, 4724, 5016, 4117, 1829, 4641, 295, 3100, 295, 16417, 4724, 1829, 14851, 2407, 7578, 25724, 11622, 2288, 16712, 2288, 21292, 3615, 1829, 5296, 3750, 6055, 2288, 21292, 3615, 3175, 497, 6055, 2288, 21292, 3615, 23565, 6055, 2288, 21292, 3615, 8978, 3175, 497, 18609, 8978], "avg_logprob": -0.2679227906114915, "compression_ratio": 1.3870967741935485, "no_speech_prob": 0.0, "words": [{"start": 1426.49, "end": 1427.03, "word": "بنفس", "probability": 0.9744466145833334}, {"start": 1427.03, "end": 1427.31, "word": " الـ", "probability": 0.729248046875}, {"start": 1427.31, "end": 1427.61, "word": " logic", "probability": 0.71240234375}, {"start": 1427.61, "end": 1428.41, "word": " بحكي", "probability": 0.8660888671875}, {"start": 1428.41, "end": 1428.79, "word": " length", "probability": 0.31787109375}, {"start": 1428.79, "end": 1429.15, "word": " of", "probability": 0.9619140625}, {"start": 1429.15, "end": 1429.67, "word": " path", "probability": 0.93115234375}, {"start": 1429.67, "end": 1430.05, "word": " of", "probability": 0.9482421875}, {"start": 1430.05, "end": 1430.63, "word": " recess", "probability": 0.90478515625}, {"start": 1430.63, "end": 1431.89, "word": " بيستوى", "probability": 0.6494140625}, {"start": 1431.89, "end": 1432.29, "word": " الجزر", "probability": 0.9361979166666666}, {"start": 1432.29, "end": 1433.17, "word": " التربيعي", "probability": 0.86025390625}, {"start": 1433.17, "end": 1434.29, "word": " لRA", "probability": 0.4896240234375}, {"start": 1434.29, "end": 1435.25, "word": " تربيع", "probability": 0.817138671875}, {"start": 1435.25, "end": 1435.69, "word": " minus", "probability": 0.53662109375}, {"start": 1435.69, "end": 1436.17, "word": " R", "probability": 0.701171875}, {"start": 1436.17, "end": 1436.75, "word": " تربيع", "probability": 0.9578857421875}, {"start": 1436.75, "end": 1437.05, "word": " cosine", "probability": 0.206298828125}, {"start": 1437.05, "end": 1437.97, "word": " تربيع", "probability": 0.95068359375}, {"start": 1437.97, "end": 1438.47, "word": " في", "probability": 0.55859375}, {"start": 1438.47, "end": 1439.89, "word": " minus", "probability": 0.76806640625}, {"start": 1439.89, "end": 1440.65, "word": " R", "probability": 0.931640625}, {"start": 1440.65, "end": 1441.25, "word": " sine", "probability": 0.5732421875}, {"start": 1441.25, "end": 1441.99, "word": " في", "probability": 0.92578125}], "temperature": 1.0}, {"id": 53, "seek": 147155, "start": 1443.39, "end": 1471.55, "text": "يعني على ال .. عشان يصير .. just to see on the interference لازم يكون اللي .. اللي ساوي اللي هو R sine Phi ومنها بحسب ال R A بعوض بعدين ال R A بيساوي ال A زاد ال A بتاعة ال pinion زاد ال R ومنها بحسب ال A ال pinion سواء R A minus R طيب", "tokens": [40228, 22653, 15844, 2423, 4386, 6225, 8592, 7649, 7251, 9381, 13546, 4386, 445, 281, 536, 322, 264, 24497, 5296, 31377, 2304, 7251, 30544, 13672, 1829, 4386, 13672, 1829, 8608, 995, 45865, 13672, 1829, 31439, 497, 18609, 41435, 4032, 27842, 11296, 4724, 5016, 35457, 2423, 497, 316, 45030, 2407, 11242, 39182, 9957, 2423, 497, 316, 4724, 1829, 3794, 995, 45865, 2423, 316, 30767, 18513, 2423, 316, 39894, 995, 27884, 2423, 5447, 313, 30767, 18513, 2423, 497, 4032, 27842, 11296, 4724, 5016, 35457, 2423, 316, 2423, 5447, 313, 8608, 2407, 16606, 497, 316, 3175, 497, 23032, 1829, 3555], "avg_logprob": -0.23179767549652414, "compression_ratio": 1.6911764705882353, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1443.3899999999999, "end": 1444.03, "word": "يعني", "probability": 0.885986328125}, {"start": 1444.03, "end": 1444.67, "word": " على", "probability": 0.357177734375}, {"start": 1444.67, "end": 1444.97, "word": " ال", "probability": 0.41845703125}, {"start": 1444.97, "end": 1445.13, "word": " ..", "probability": 0.9462890625}, {"start": 1445.13, "end": 1445.59, "word": " عشان", "probability": 0.9703776041666666}, {"start": 1445.59, "end": 1445.93, "word": " يصير", "probability": 0.8341471354166666}, {"start": 1445.93, "end": 1446.01, "word": " ..", "probability": 0.307373046875}, {"start": 1446.01, "end": 1446.25, "word": " just", "probability": 0.8671875}, {"start": 1446.25, "end": 1446.41, "word": " to", "probability": 0.9658203125}, {"start": 1446.41, "end": 1446.49, "word": " see", "probability": 0.54248046875}, {"start": 1446.49, "end": 1446.63, "word": " on", "probability": 0.341552734375}, {"start": 1446.63, "end": 1446.75, "word": " the", "probability": 0.85546875}, {"start": 1446.75, "end": 1447.37, "word": " interference", "probability": 0.94580078125}, {"start": 1447.37, "end": 1448.33, "word": " لازم", "probability": 0.98876953125}, {"start": 1448.33, "end": 1448.71, "word": " يكون", "probability": 0.9921875}, {"start": 1448.71, "end": 1449.21, "word": " اللي", "probability": 0.74267578125}, {"start": 1449.21, "end": 1449.21, "word": " ..", "probability": 0.50341796875}, {"start": 1449.21, "end": 1449.47, "word": " اللي", "probability": 0.986572265625}, {"start": 1449.47, "end": 1449.93, "word": " ساوي", "probability": 0.8468424479166666}, {"start": 1449.93, "end": 1450.97, "word": " اللي", "probability": 0.982421875}, {"start": 1450.97, "end": 1451.19, "word": " هو", "probability": 0.9873046875}, {"start": 1451.19, "end": 1451.73, "word": " R", "probability": 0.49658203125}, {"start": 1451.73, "end": 1453.41, "word": " sine", "probability": 0.29296875}, {"start": 1453.41, "end": 1455.01, "word": " Phi", "probability": 0.34033203125}, {"start": 1455.01, "end": 1456.23, "word": " ومنها", "probability": 0.8435872395833334}, {"start": 1456.23, "end": 1456.75, "word": " بحسب", "probability": 0.9716796875}, {"start": 1456.75, "end": 1456.97, "word": " ال", "probability": 0.865234375}, {"start": 1456.97, "end": 1457.29, "word": " R", "probability": 0.379150390625}, {"start": 1457.29, "end": 1457.57, "word": " A", "probability": 0.439697265625}, {"start": 1457.57, "end": 1458.23, "word": " بعوض", "probability": 0.8644205729166666}, {"start": 1458.23, "end": 1459.95, "word": " بعدين", "probability": 0.843994140625}, {"start": 1459.95, "end": 1460.11, "word": " ال", "probability": 0.9365234375}, {"start": 1460.11, "end": 1460.37, "word": " R", "probability": 0.9716796875}, {"start": 1460.37, "end": 1460.83, "word": " A", "probability": 0.98095703125}, {"start": 1460.83, "end": 1462.13, "word": " بيساوي", "probability": 0.648779296875}, {"start": 1462.13, "end": 1462.31, "word": " ال", "probability": 0.80712890625}, {"start": 1462.31, "end": 1462.55, "word": " A", "probability": 0.923828125}, {"start": 1462.55, "end": 1463.13, "word": " زاد", "probability": 0.6527099609375}, {"start": 1463.13, "end": 1463.33, "word": " ال", "probability": 0.9208984375}, {"start": 1463.33, "end": 1463.47, "word": " A", "probability": 0.9326171875}, {"start": 1463.47, "end": 1463.63, "word": " بتاعة", "probability": 0.81396484375}, {"start": 1463.63, "end": 1463.83, "word": " ال", "probability": 0.931640625}, {"start": 1463.83, "end": 1464.19, "word": " pinion", "probability": 0.75390625}, {"start": 1464.19, "end": 1464.65, "word": " زاد", "probability": 0.930908203125}, {"start": 1464.65, "end": 1464.87, "word": " ال", "probability": 0.8779296875}, {"start": 1464.87, "end": 1465.19, "word": " R", "probability": 0.99365234375}, {"start": 1465.19, "end": 1465.51, "word": " ومنها", "probability": 0.90087890625}, {"start": 1465.51, "end": 1465.75, "word": " بحسب", "probability": 0.98583984375}, {"start": 1465.75, "end": 1465.91, "word": " ال", "probability": 0.95654296875}, {"start": 1465.91, "end": 1466.05, "word": " A", "probability": 0.97119140625}, {"start": 1466.05, "end": 1466.17, "word": " ال", "probability": 0.81298828125}, {"start": 1466.17, "end": 1466.57, "word": " pinion", "probability": 0.945068359375}, {"start": 1466.57, "end": 1467.35, "word": " سواء", "probability": 0.7067057291666666}, {"start": 1467.35, "end": 1467.65, "word": " R", "probability": 0.61474609375}, {"start": 1467.65, "end": 1468.09, "word": " A", "probability": 0.958984375}, {"start": 1468.09, "end": 1468.75, "word": " minus", "probability": 0.89453125}, {"start": 1468.75, "end": 1469.53, "word": " R", "probability": 0.99755859375}, {"start": 1469.53, "end": 1471.55, "word": " طيب", "probability": 0.9775390625}], "temperature": 1.0}, {"id": 54, "seek": 148003, "start": 1473.17, "end": 1480.03, "text": "حاكم الكور خلصنا المحاضرة الرابعة المرة جاي بنكمل اعطيكوا لعابة", "tokens": [5016, 995, 24793, 33251, 13063, 16490, 1211, 9381, 8315, 9673, 5016, 46958, 25720, 34892, 16758, 27884, 9673, 25720, 10874, 47302, 44945, 24793, 1211, 1975, 3615, 9566, 1829, 4117, 14407, 5296, 3615, 16758, 3660], "avg_logprob": -0.24632352590560913, "compression_ratio": 1.4096385542168675, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 1473.17, "end": 1473.55, "word": "حاكم", "probability": 0.6903483072916666}, {"start": 1473.55, "end": 1473.81, "word": " الكور", "probability": 0.794921875}, {"start": 1473.81, "end": 1474.45, "word": " خلصنا", "probability": 0.98876953125}, {"start": 1474.45, "end": 1475.95, "word": " المحاضرة", "probability": 0.9716796875}, {"start": 1475.95, "end": 1476.77, "word": " الرابعة", "probability": 0.8751627604166666}, {"start": 1476.77, "end": 1478.39, "word": " المرة", "probability": 0.8935546875}, {"start": 1478.39, "end": 1478.75, "word": " جاي", "probability": 0.737548828125}, {"start": 1478.75, "end": 1479.37, "word": " بنكمل", "probability": 0.8551432291666666}, {"start": 1479.37, "end": 1479.71, "word": " اعطيكوا", "probability": 0.8479817708333334}, {"start": 1479.71, "end": 1480.03, "word": " لعابة", "probability": 0.584320068359375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1480.13275, "duration_after_vad": 1324.811249999998}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vbe4zTaHMdM_raw.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vbe4zTaHMdM_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..fefe9263b90d0ba25d69cfb860b36902039fed5d
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/vbe4zTaHMdM_raw.srt
@@ -0,0 +1,932 @@
+1
+00:00:02,770 --> 00:00:05,730
+بسم الله الرحمن الرحيم السلام عليكم و رحمة الله و
+
+2
+00:00:05,730 --> 00:00:11,290
+بركاته اليوم هنكمل في مادة نظرية الألات و هنكمل في
+
+3
+00:00:11,290 --> 00:00:18,250
+chapter الجير ال gears المحاضرة الفاتتة اللي كانت
+
+4
+00:00:18,250 --> 00:00:22,730
+المحاضرة التالتة حكينا عن ال interference بين ال
+
+5
+00:00:22,730 --> 00:00:29,370
+opinion و الجير حكينا إذا صار السن اللي هو ال ..
+
+6
+00:00:29,750 --> 00:00:35,510
+الـ addendum circle اللي driven لمست .. لمست السن
+
+7
+00:00:35,510 --> 00:00:40,490
+تاع ال penion تحت ال base circle بيصير انغراز لسن
+
+8
+00:00:40,490 --> 00:00:44,930
+الجير في سن ال penion و بيصير تآكل بين الأسنان
+
+9
+00:00:44,930 --> 00:00:49,810
+تاعت الترس وهذا لا يجوز لازم ان احنا نتجنب انه
+
+10
+00:00:49,810 --> 00:00:52,510
+يصير interference عشان نتجنب interference في عندى
+
+11
+00:00:52,510 --> 00:00:55,730
+minimum number of teeth في عندى حد قدر من الأسنان
+
+12
+00:00:55,730 --> 00:00:59,940
+على ال penionلازم يكون عدل السنان أكبر منه يعني
+
+13
+00:00:59,940 --> 00:01:03,600
+أقل عدد ممكن بعد أو تحت هذا الرقم بيصير عنده
+
+14
+00:01:03,600 --> 00:01:06,460
+interference above this number of teeth ما بيصير
+
+15
+00:01:06,460 --> 00:01:11,220
+عنده interference مش هخش في تفاصيل اشتقاق المعادلة
+
+16
+00:01:11,220 --> 00:01:14,640
+هعطيكوا المعادلة جاهزة اللي هي ال NP اللي هي ال
+
+17
+00:01:14,640 --> 00:01:16,960
+minimum number of teeth on pinion to avoid
+
+18
+00:01:16,960 --> 00:01:21,740
+interferenceتستوى 2K في G زي الجزء التربيع لG
+
+19
+00:01:21,740 --> 00:01:25,820
+تربيع زي 1 زي 2G في Sine تربيع الفاية على 1 زي 2G
+
+20
+00:01:25,820 --> 00:01:31,740
+Sine تربيع الفاية طبعا ال G اللي عندى ال NP هي عدد
+
+21
+00:01:31,740 --> 00:01:35,780
+أثنان ال pinion ال NG عدد أثنان الجير ال M
+
+22
+00:01:35,780 --> 00:01:41,170
+الموديول ال R ال pitch radius of the pinionوعند
+
+23
+00:01:41,170 --> 00:01:44,070
+الـ G الـ gear ratio عدد أسنان الـ gear عدد أسنان
+
+24
+00:01:44,070 --> 00:01:47,110
+ال pinion أو بيستوى ال radius للـ gear على ال
+
+25
+00:01:47,110 --> 00:01:51,790
+radius لل pinion و ال file pressure angle و ال K
+
+26
+00:01:51,790 --> 00:01:55,730
+بتعتمد هل هو full tooth ولا stop tooth يعني full
+
+27
+00:01:55,730 --> 00:02:00,600
+tooth يعني سن كامل طويلأو سن قصير عادة ال K بيساوي
+
+28
+00:02:00,600 --> 00:02:04,500
+واحد حكينا ال G اللي هي ال gear ratio هذا ال NP
+
+29
+00:02:04,500 --> 00:02:07,740
+بيعطيني عدد الحد الأدنى من الأسنان على ال pinion
+
+30
+00:02:07,740 --> 00:02:11,620
+بحيث مايصيرش عندي interference يعني بحيث مايصيرش
+
+31
+00:02:11,620 --> 00:02:16,280
+السن .. أسنان ال .. ال .. ال gear تنغرز في أسنان
+
+32
+00:02:16,280 --> 00:02:16,840
+ال pinion
+
+33
+00:02:19,880 --> 00:02:23,840
+الان ممكن اعملها بشكل جدول الان الجدول اللي بيبيني
+
+34
+00:02:23,840 --> 00:02:26,580
+عدد الحد الأدنى الأسنان على ال pinion to avoid
+
+35
+00:02:26,580 --> 00:02:32,640
+interference في حالة اربعتاش و نص composite بيكون
+
+36
+00:02:32,640 --> 00:02:36,400
+عدد الحد الأدنى الأسنان اتناشر سن في حالة pressure
+
+37
+00:02:36,400 --> 00:02:39,420
+أي اربعتاش و نص full depth involute بيكون عند الحد
+
+38
+00:02:39,420 --> 00:02:43,270
+الأدنى الأسنان اتنين و تلاتين سنفي حال كانت ال
+
+39
+00:02:43,270 --> 00:02:46,070
+pressure angle عشرين درجة full depth involute
+
+40
+00:02:46,070 --> 00:02:49,350
+بيكون حد الأدنى الأسنان على ال penion تمانتاش، في
+
+41
+00:02:49,350 --> 00:02:51,870
+حال كان ال twenty degrees pressure angle stop
+
+42
+00:02:51,870 --> 00:02:54,730
+involute بيكون حد الأدنى العد الأسنان على ال
+
+43
+00:02:54,730 --> 00:02:57,010
+penion بالساوية أربعتاشر سنة
+
+44
+00:03:01,150 --> 00:03:04,650
+المعادل التالي اللي هي NG بيستوى N P Square Sine
+
+45
+00:03:04,650 --> 00:03:07,210
+Square Phi مانصة أربعة K Square على أربعة K فى
+
+46
+00:03:07,210 --> 00:03:11,830
+minus اتنين N P Sine Square Phi الـ NG هي ال
+
+47
+00:03:11,830 --> 00:03:14,790
+minimum number of teeth required on gear in order
+
+48
+00:03:14,790 --> 00:03:17,510
+to avoid interference with a mating pinion يعني
+
+49
+00:03:17,510 --> 00:03:22,670
+هذا عدد أسنان المقابلة للجير مع pinion معين عدد
+
+50
+00:03:22,670 --> 00:03:25,370
+أسنانه N P الـ Phi ال pressure angle الـ K عادة
+
+51
+00:03:25,370 --> 00:03:28,930
+بتكون تستوى واحد في حالة ضغط full depth ممكن توصل
+
+52
+00:03:28,930 --> 00:03:30,910
+point تمانية في حالة stop depth
+
+53
+00:03:35,450 --> 00:03:42,730
+نشوف examples نحيل مجموعة من ال examples نقرأ
+
+54
+00:03:42,730 --> 00:03:45,730
+ال example determine minimum number of teeth
+
+55
+00:03:45,730 --> 00:03:49,330
+required on a pinion وجد أقل عدد من الأسنان مطلوبة
+
+56
+00:03:49,330 --> 00:03:53,350
+على pinion in order to avoid interference لكي
+
+57
+00:03:53,350 --> 00:04:01,010
+نتجنب التداخل which is to gear witha gear wheel to
+
+58
+00:04:01,010 --> 00:04:05,070
+give a gear ratio of تلاتة واحد معطيني ال gear
+
+59
+00:04:05,070 --> 00:04:09,450
+ratio تلاتة
+
+60
+00:04:09,450 --> 00:04:14,130
+بدوا
+
+61
+00:04:14,130 --> 00:04:18,010
+ال minimum number of teeth on the pinion معطيني
+
+62
+00:04:18,010 --> 00:04:22,430
+طبعا ال pressure angle is twenty degrees ال
+
+63
+00:04:22,430 --> 00:04:26,410
+pressure angle بستوية عشرين degrees
+
+64
+00:04:29,900 --> 00:04:38,280
+و ال addendum واحد module ال addendum واحد
+
+65
+00:04:38,280 --> 00:04:44,580
+M طيب
+
+66
+00:04:44,580 --> 00:04:52,440
+نرجع للمعادلة المعادلة لعدد الأسنان الأدنى N P N
+
+67
+00:04:52,440 --> 00:04:58,820
+Pinion بالساوية نين K في
+
+68
+00:05:00,460 --> 00:05:11,700
+G زي الجزر التربيعي لجي تربية زي واحد زي اتنين جي
+
+69
+00:05:11,700 --> 00:05:21,400
+في sin square في في على
+
+70
+00:05:21,400 --> 00:05:25,160
+واحد
+
+71
+00:05:25,160 --> 00:05:36,070
+زي اتنين جيفى sin² فاى يعني
+
+72
+00:05:36,070 --> 00:05:43,190
+نعوض عند اتنين ال K واحد فى G اللى هى تلاتة زاد
+
+73
+00:05:43,190 --> 00:05:47,310
+جزر التربيع على G تربيع اللى هى التسعة زاد واحد
+
+74
+00:05:47,310 --> 00:05:55,550
+زاد اتنين فى تلاتة ستة sin² العشرين على
+
+75
+00:05:57,060 --> 00:06:03,300
+واحد زائد ستة في sine square العشرين يعني هيكون
+
+76
+00:06:03,300 --> 00:06:09,280
+نحسب تسعة
+
+77
+00:06:30,050 --> 00:06:39,650
+زاد تلاتة يساوي تقسيم سبعة
+
+78
+00:06:39,650 --> 00:06:50,130
+تقسيم sign بيطلع
+
+79
+00:06:50,130 --> 00:06:51,970
+سبعة و نص في اتنين
+
+80
+00:06:56,960 --> 00:07:00,640
+بطلع اربع تاش مون تس و تمانى يعني خمس تاشر سن
+
+81
+00:07:00,640 --> 00:07:04,740
+معناته
+
+82
+00:07:04,740 --> 00:07:08,780
+عدد الأسنان الأدنى عشان اتجنب message interference
+
+83
+00:07:08,780 --> 00:07:14,180
+في الحالة هذه خمس تاشر سن طيب إذا كانت two mating
+
+84
+00:07:14,180 --> 00:07:17,740
+gears نفس الأشياء يعني نفس عدد الأسنان إيش هيكون؟
+
+85
+00:07:17,740 --> 00:07:20,880
+هيكون ال N P هذا في حالة ال gear ratio بالساوية
+
+86
+00:07:20,880 --> 00:07:24,500
+تلاتة في حالة كانت ال gear ratio بالساوية واحد
+
+87
+00:07:24,500 --> 00:07:35,280
+هيكون ال N Pبساوة اتنين في واحد في واحد زائد الجزر
+
+88
+00:07:35,280 --> 00:07:40,220
+التربيعي لواحد زائد واحد زائد اتنين في واحد زائد
+
+89
+00:07:40,220 --> 00:07:49,740
+تلاتة sign squared العشرين على تلاتة sign squared
+
+90
+00:07:49,740 --> 00:07:53,760
+العشرين هذا في حالة ال grade ratio بساوة واحد يعني
+
+91
+00:07:53,760 --> 00:07:54,560
+هيكون عندها
+
+92
+00:07:58,900 --> 00:08:07,260
+واحد زاد الجزر التربيعي لواحد زاد تلاتة في sign
+
+93
+00:08:07,260 --> 00:08:16,920
+العشرين تربيع يساوى في اتنين
+
+94
+00:08:19,670 --> 00:08:33,050
+تقسيم تلاتة تقسيم ساين العشرين تربيع واطلع اتناش
+
+95
+00:08:33,050 --> 00:08:37,490
+point تلاتة فش اتناش point تلات سن لازم يكون عدد
+
+96
+00:08:37,490 --> 00:08:42,370
+صحيح معناته ال LB هيكون ساوي تلتاشر سن
+
+97
+00:08:46,990 --> 00:08:50,950
+بنفعش احكي اقرب لان تلاتة من عشر اقربها لاتناش لان
+
+98
+00:08:50,950 --> 00:08:56,690
+اذا صار اتناش حصير interference لكن تلاتاش مش حصير
+
+99
+00:08:56,690 --> 00:08:58,950
+interference يعني هذا تقريب انا around to the
+
+100
+00:08:58,950 --> 00:09:04,070
+upper number طيب
+
+101
+00:09:04,070 --> 00:09:11,230
+هذا example هنشوف
+
+102
+00:09:11,230 --> 00:09:12,170
+example تاني
+
+103
+00:09:25,010 --> 00:09:28,870
+a pair of spar gears with involute teeth is to
+
+104
+00:09:28,870 --> 00:09:33,650
+give a gear ratio of 4 to 1 عندي اتنين gears ال
+
+105
+00:09:33,650 --> 00:09:40,450
+gear ratio عندي اربعة the arc of approach is not
+
+106
+00:09:40,450 --> 00:09:46,030
+to be less than the circular pitch ال arc of
+
+107
+00:09:46,030 --> 00:09:51,450
+approach مش لازم يكون اقل مش لازم يكون اقل من ال
+
+108
+00:09:51,450 --> 00:09:53,470
+circular pitch يعني ال arc of approach
+
+109
+00:09:56,060 --> 00:10:00,360
+الـ arc ال length of arc of approach لازم يكون
+
+110
+00:10:00,360 --> 00:10:07,720
+أكبر من ال circular pitch and
+
+111
+00:10:07,720 --> 00:10:12,000
+the smaller wheel is the driver الترس الصغير هو ال
+
+112
+00:10:12,000 --> 00:10:15,400
+driver the angle of pressure is أربع تاشر و نص ال
+
+113
+00:10:15,400 --> 00:10:25,040
+pressure angle اصلا أربع تاشر و نص degrees find
+
+114
+00:10:27,790 --> 00:10:32,710
+least number of teeth that can be used on each
+
+115
+00:10:32,710 --> 00:10:39,150
+wheel بيبقى أقل عدد من الأسنان في cultures ع ال
+
+116
+00:10:39,150 --> 00:10:44,190
+penion ع
+
+117
+00:10:44,190 --> 00:10:47,010
+ال penion هتكون ان ده انا ال penion سوى اتنين K في
+
+118
+00:10:47,010 --> 00:10:49,570
+G زائد جزء تربيه على G تربيه زائد واحد اتنين G في
+
+119
+00:10:49,570 --> 00:10:51,630
+صين تربيه فياه على واحد اتنين G صين تربيه فياه
+
+120
+00:10:51,630 --> 00:10:57,980
+يعني هتكون اتنين في واحدالـ G عندي أربعة ال ratio
+
+121
+00:10:57,980 --> 00:11:03,260
+أربعة زي جزر التربيع الأربعة تربيع اللي هي ستاش زي
+
+122
+00:11:03,260 --> 00:11:10,340
+واحد زي تمانية زي تسعة تسعة sine square الأربعتاش
+
+123
+00:11:10,340 --> 00:11:19,560
+و نص على تسعة sine square الأربعتاش و نص degrees
+
+124
+00:11:25,020 --> 00:11:29,560
+انا هكون اربع
+
+125
+00:11:29,560 --> 00:11:39,260
+زي جزر التربيع لا ستاش زي تسعة في sign الاربعتاش و
+
+126
+00:11:39,260 --> 00:11:54,580
+نص تربيع يساوي تقسيم تسعة تقسيم sign تربيع
+
+127
+00:11:57,080 --> 00:12:00,920
+فى اتنين تطلع
+
+128
+00:12:00,920 --> 00:12:08,240
+تسعة و عشرين سنة
+
+129
+00:12:08,240 --> 00:12:14,640
+معناه تتاع أسنان الجير and جير بساوة
+
+130
+00:12:14,640 --> 00:12:21,380
+تسعة و عشرين فى أربعة يعني
+
+131
+00:12:21,380 --> 00:12:23,620
+هيطلع مية و ستاشر سنة
+
+132
+00:12:31,930 --> 00:12:36,950
+Pedo addendum of wheel in terms of the circular
+
+133
+00:12:36,950 --> 00:12:41,870
+pitch الاركو
+
+134
+00:12:41,870 --> 00:12:46,170
+approach ال length of
+
+135
+00:12:46,170 --> 00:12:52,470
+path of approach بيساوي الجزر التربيعي للار اي
+
+136
+00:12:52,470 --> 00:13:02,150
+تربيع minus الار تربيع cos تربيعالـ Phi minus ال R
+
+137
+00:13:02,150 --> 00:13:12,290
+sine ال Phi ال
+
+138
+00:13:12,290 --> 00:13:21,050
+circular pitch عندى بي في الموديول بي في الموديول
+
+139
+00:13:27,080 --> 00:13:34,080
+يعني الموديول بيساوي PC على PI طيب
+
+140
+00:13:34,080 --> 00:13:38,780
+معناته ال R بيساوي
+
+141
+00:13:38,780 --> 00:13:47,560
+M في العدد أثنان الجير هيكون
+
+142
+00:13:47,560 --> 00:13:54,640
+يساوي ال M اللي هي PC على PI عدد أثنان الجير اللي
+
+143
+00:13:54,640 --> 00:13:55,500
+هو 116
+
+144
+00:13:59,430 --> 00:14:06,010
+و ال R small بيستوقم في عدد أسنان ال .. ال pinion
+
+145
+00:14:06,010 --> 00:14:13,810
+يعني هيكون Pc على Pi عدد أسنان ال pinion اللي هي
+
+146
+00:14:13,810 --> 00:14:19,710
+تسعة و عشرين طيب
+
+147
+00:14:24,180 --> 00:14:27,900
+هو حاكين ال length of path of .. ال length of arc
+
+148
+00:14:27,900 --> 00:14:36,060
+of contact ال length of arc of contact بستوي ال
+
+149
+00:14:36,060 --> 00:14:39,400
+limit بتاعته بستوي sticker pitch ال PC
+
+150
+00:14:44,280 --> 00:14:47,940
+اللي هو بيساوي ال length of path of approach .. of
+
+151
+00:14:47,940 --> 00:14:52,000
+path of .. length of arc of approach length of
+
+152
+00:14:52,000 --> 00:15:00,840
+path of approach على cosine الفي يعني
+
+153
+00:15:00,840 --> 00:15:07,200
+ال length of path of approach بيساوي Pc في cosine
+
+154
+00:15:07,200 --> 00:15:08,760
+الفي
+
+155
+00:15:10,400 --> 00:15:18,500
+يعني هكون عندي هنا انعوض هكون بيستوى ال PC في
+
+156
+00:15:18,500 --> 00:15:29,400
+cosine الفي انعوض هكون عندي الجزر التربيعي ل RA
+
+157
+00:15:29,400 --> 00:15:38,040
+تربيع minus ال R عبارة عن PC
+
+158
+00:15:40,480 --> 00:15:50,940
+تربيع في مية و ستاش تربيع على باي تربيع minus
+
+159
+00:15:50,940 --> 00:16:00,840
+PCE minus PCE في
+
+160
+00:16:00,840 --> 00:16:04,780
+مية و ستاش على باي
+
+161
+00:16:07,490 --> 00:16:13,590
+فى sin يعني طبعا هنا cosine تربيع الاربعتاش و نص
+
+162
+00:16:13,590 --> 00:16:19,170
+هنا في sin الاربعتاش
+
+163
+00:16:19,170 --> 00:16:30,430
+و نص بتستوى
+
+164
+00:16:30,430 --> 00:16:35,210
+الPCA فى cosine الفاية
+
+165
+00:16:37,500 --> 00:16:46,720
+ومنها طبعا يعني بحسب بحسب ال P A ال R A بعد
+
+166
+00:16:46,720 --> 00:16:53,720
+بحسب ال R A بحكي ال R A بيساوي ال A زائد ال R يعني
+
+167
+00:16:53,720 --> 00:17:00,320
+ال A هتكون ال R A minus ال R و بنكمل الحلة
+
+168
+00:17:19,450 --> 00:17:24,330
+طيب انحل كم مثال a
+
+169
+00:17:24,330 --> 00:17:39,330
+pair
+
+170
+00:17:39,330 --> 00:17:43,390
+of involute spar gears with twenty degrees
+
+171
+00:17:43,390 --> 00:17:47,790
+pressure angle احنا نعطيه pressure angle بالساوة
+
+172
+00:17:47,790 --> 00:17:48,690
+عشرين درجة
+
+173
+00:17:51,930 --> 00:17:59,190
+and pitch of module ستة مليمتر ال module ستة
+
+174
+00:17:59,190 --> 00:18:03,270
+مليمتر the
+
+175
+00:18:03,270 --> 00:18:08,870
+number of teeth on the pinion is sixteen ال teeth
+
+176
+00:18:08,870 --> 00:18:15,890
+بتاعة ال pinion ستاشر سن and
+
+177
+00:18:15,890 --> 00:18:24,670
+its rotation speed and بتاعة ال pinionماعطينا 240
+
+178
+00:18:24,670 --> 00:18:32,990
+دورة في الدقيقة 240 دورة في الدقيقة when
+
+179
+00:18:32,990 --> 00:18:37,470
+the gear ratio is one point seven five الـ G ال
+
+180
+00:18:37,470 --> 00:18:46,330
+gear ratio بس واحد point سبعة خمسة find .. find on
+
+181
+00:18:46,330 --> 00:18:51,030
+order that the interference is just avoided
+
+182
+00:18:52,650 --> 00:18:59,850
+addendum on pinion and gear wear بده
+
+183
+00:18:59,850 --> 00:19:04,370
+to just avoid ال interference .. to just avoid
+
+184
+00:19:04,370 --> 00:19:10,390
+interference بده اللي هو ال addendum on
+
+185
+00:19:10,390 --> 00:19:14,650
+the pinion and the gearلدنيوم على ال pinion وعلى
+
+186
+00:19:14,650 --> 00:19:18,270
+ال gear الان ال gear ratio one point seven five
+
+187
+00:19:18,270 --> 00:19:23,210
+معناته ال T على سنان الجير هيكون ستاش في واحد
+
+188
+00:19:23,210 --> 00:19:29,290
+point سبعة خمسة يعني هيكون ستاش
+
+189
+00:19:29,290 --> 00:19:34,070
+على
+
+190
+00:19:34,070 --> 00:19:37,390
+سنان الجير هيكون تمانية و عشرين سنة تمانية و عشرين
+
+191
+00:19:42,140 --> 00:19:46,620
+هنحسب ال R pitch radius ال pitch radius لل Panion
+
+192
+00:19:46,620 --> 00:19:51,680
+هكون ال module ستة في عدد الإسنان على اتنين يعني
+
+193
+00:19:51,680 --> 00:19:56,120
+ست تمانية تمانية و اربعين ملي متر و ال pitch
+
+194
+00:19:56,120 --> 00:20:01,040
+radius للجير هيكون تمانية الموديول في تمانية و
+
+195
+00:20:01,040 --> 00:20:07,680
+عشرين على اتنين يعني ستة في اربعتاشستة في اربعة ..
+
+196
+00:20:07,680 --> 00:20:12,100
+اربعة .. ستة في اربعتاش يعني اربعة و تمانين بتأكد
+
+197
+00:20:12,100 --> 00:20:20,040
+بس ستة في اربعتاش اربعة و تمانين millimeter
+
+198
+00:20:20,040 --> 00:20:25,820
+طيب
+
+199
+00:20:25,820 --> 00:20:32,520
+just
+
+200
+00:20:32,520 --> 00:20:38,610
+to avoid interference لازم يكونالـ length of path
+
+201
+00:20:38,610 --> 00:20:42,390
+of approach ممتوح للغاية اللي قلتها دي نرجع لجوا
+
+202
+00:20:42,390 --> 00:20:46,530
+ال
+
+203
+00:20:46,530 --> 00:20:59,570
+length
+
+204
+00:20:59,570 --> 00:21:02,350
+of path of approach هيكون r sin phi
+
+205
+00:21:05,390 --> 00:21:13,530
+و length of path of recess هكون ر كابتل صين فيه هت
+
+206
+00:21:13,530 --> 00:21:25,630
+avoid interference طيب
+
+207
+00:21:25,630 --> 00:21:31,310
+برضه ال length of path of approach بيساوي الجزر
+
+208
+00:21:31,310 --> 00:21:38,580
+التربيعيللـ R capital A تربيع minus ال R تربيع
+
+209
+00:21:38,580 --> 00:21:50,500
+cosine تربيع Phi minus ال R capital sine Phi ال
+
+210
+00:21:50,500 --> 00:21:59,960
+critical هيكون هذا يساوي R small sine Phi يعني
+
+211
+00:21:59,960 --> 00:22:06,140
+هيكون عنده الجزر التربيعيللـ ra تربيع minus r
+
+212
+00:22:06,140 --> 00:22:12,040
+تربيع square cosine تربيع فيه هيكون السواء ر small
+
+213
+00:22:12,040 --> 00:22:22,020
+زاد ر capital sin فيه إذا بربع الطرفين هيصير عندي
+
+214
+00:22:22,020 --> 00:22:32,520
+ra تربيع بيساوي ر تربيع cosine تربيع فيه
+
+215
+00:22:34,540 --> 00:22:40,180
+زاد R Small زاد R Capital الكل تربيع Sine Square
+
+216
+00:22:40,180 --> 00:22:47,660
+Phi يعني لو اوضح عن R اللي هي اربعة وتمانين تربيع
+
+217
+00:22:47,660 --> 00:22:54,140
+Cos تربيع العشرين زاد ستاش زاد تمانية عشرين الكل
+
+218
+00:22:54,140 --> 00:23:00,540
+تربيع Sine تربيع العشرينومنها بحسب الار ايه الار
+
+219
+00:23:00,540 --> 00:23:08,240
+ايه هتطلع تطلع تمانين تمانين
+
+220
+00:23:08,240 --> 00:23:15,520
+point
+
+221
+00:23:15,520 --> 00:23:25,420
+تلاتة ستة ها في إيش غلط في إيش غلط طيب هذا الرقم
+
+222
+00:23:25,420 --> 00:23:32,510
+مش صحيح هذا الرقمغير صحيح اتأكدوش المشكلة؟ اللي هو
+
+223
+00:23:32,510 --> 00:23:38,470
+بعدين بحسب ال addendum بتاع ال gear هيكون RA-R
+
+224
+00:23:46,490 --> 00:23:50,630
+بنفس الـ logic بحكي length of path of recess
+
+225
+00:23:50,630 --> 00:23:56,750
+بيستوى الجزر التربيعي لRA تربيع minus R تربيع
+
+226
+00:23:56,750 --> 00:24:05,590
+cosine تربيع في minus R sine فييعني على ال .. عشان
+
+227
+00:24:05,590 --> 00:24:08,710
+يصير .. just to see on the interference لازم يكون
+
+228
+00:24:08,710 --> 00:24:16,970
+اللي .. اللي ساوي اللي هو R sine Phi ومنها بحسب ال
+
+229
+00:24:16,970 --> 00:24:23,630
+R A بعوض بعدين ال R A بيساوي ال A زاد ال A بتاعة
+
+230
+00:24:23,630 --> 00:24:27,350
+ال pinion زاد ال R ومنها بحسب ال A ال pinion سواء
+
+231
+00:24:27,350 --> 00:24:31,550
+R A minus R طيب
+
+232
+00:24:33,170 --> 00:24:39,370
+حاكم الكور خلصنا المحاضرة الرابعة المرة جاي بنكمل
+
+233
+00:24:39,370 --> 00:24:40,030
+اعطيكوا لعابة
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/wJiGIlXDENY.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/wJiGIlXDENY.srt
new file mode 100644
index 0000000000000000000000000000000000000000..bacc920495abd7252ffe92ccec42fbbf8947d6ab
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/wJiGIlXDENY.srt
@@ -0,0 +1,2189 @@
+1
+00:00:05,720 --> 00:00:08,580
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,580 --> 00:00:13,880
+وبركاته اليوم هنكمل في مادة نظرية الآلات اللي هو
+
+3
+00:00:13,880 --> 00:00:17,440
+الchapter المتعلق بال turning moment diagrams and
+
+4
+00:00:17,440 --> 00:00:22,620
+flywheels نعمل مراجعة سريعة للمحاضرة الفاتة
+
+5
+00:00:22,620 --> 00:00:24,900
+تعرفنا أن ال turning moment diagram هو graphical
+
+6
+00:00:24,900 --> 00:00:27,800
+representation لل turning moment أو ال crank
+
+7
+00:00:27,800 --> 00:00:35,960
+effort at various crank angles. تفرجنا على العديد من
+
+8
+00:00:35,960 --> 00:00:38,860
+ال turning moment diagrams في الحلقة اللي شوفناها
+
+9
+00:00:38,860 --> 00:00:41,680
+السابقة أن هي turning moment diagram ل single
+
+10
+00:00:41,680 --> 00:00:46,040
+cylinder double acting steam engine. حكينا أن ال
+
+11
+00:00:46,040 --> 00:00:50,600
+turning moment on the crankshaft، الـ T بيستوي في FP
+
+12
+00:00:50,600 --> 00:00:54,780
+في R في sin θ زائد sin 2θ على 2 في N تربيع ناقص sin
+
+13
+00:00:54,780 --> 00:00:57,440
+تربيع ثيتا، و FP ال piston effort
+
+14
+00:01:01,860 --> 00:01:04,960
+حكينا أن لما يكون عندي الـ .. الـ .. الـ .. الـ .. الـ
+
+15
+00:01:04,960 --> 00:01:08,260
+generated torque at the crank أعلى من الـ .. الـ
+
+16
+00:01:08,260 --> 00:01:14,340
+required torque أو الـ .. الـ load، بنخزن الطاقة
+
+17
+00:01:14,340 --> 00:01:18,500
+للزيادة في الـ .. على شكل طاقة حركة flywheel. ففي
+
+18
+00:01:18,500 --> 00:01:23,070
+الحالة هذه، الصورة ال flywheel بتزيد.. بتزيد إذا
+
+19
+00:01:23,070 --> 00:01:27,050
+كانت الطاقة المنتجة من الـ .. الـ .. الـ .. الـ crank
+
+20
+00:01:27,050 --> 00:01:32,490
+أقل من ال required beam torque، باخد العجز عندي في
+
+21
+00:01:32,490 --> 00:01:35,070
+الطاقة من ال flywheel، وبالتالي سرعة ال flywheel
+
+22
+00:01:35,070 --> 00:01:36,630
+هتقل.
+
+23
+00:01:49,590 --> 00:01:53,530
+عرفنا أن المعامل التذبذب في الطاقة اللي هو ال
+
+24
+00:01:53,530 --> 00:01:55,750
+maximum fluctuation of energy على ال work done per
+
+25
+00:01:55,750 --> 00:01:59,150
+cycle، و ال work done per cycle بيستوي ال mean
+
+26
+00:01:59,150 --> 00:02:02,950
+torque في الـ .. الـ .. الـ θ .. الـ θ اللي هي
+
+27
+00:02:02,950 --> 00:02:06,820
+ال angle turned in one revolution by the crank. ثيتا
+
+28
+00:02:06,820 --> 00:02:10,040
+بيستوي 2π في حالة steam engine أو two stroke
+
+29
+00:02:10,040 --> 00:02:13,440
+internal combustion engine، و ثيتا بيستوي 4π في
+
+30
+00:02:13,440 --> 00:02:16,880
+حالة four stroke internal combustion engine.
+
+31
+00:02:16,880 --> 00:02:22,240
+التورك بيستوي ال power على ال angular velocity أو
+
+32
+00:02:22,240 --> 00:02:26,340
+بيستوي 2π في N، ال work done per
+
+33
+00:02:26,340 --> 00:02:33,600
+cycle. معادلة جامعة P في 60 على N small بيستوي
+
+34
+00:02:33,600 --> 00:02:36,440
+N capital في حالة steam engine أو two stroke
+
+35
+00:02:36,440 --> 00:02:40,200
+internal combustion engine، أو بيستوي N capital على
+
+36
+00:02:40,200 --> 00:02:42,640
+2 في حالة four stroke internal combustion
+
+37
+00:02:42,640 --> 00:02:48,570
+engine. الـ flywheel عرفناها أنها جهاز لتخزين
+
+38
+00:02:48,570 --> 00:02:52,630
+الطاقة على شكل طاقة ميكانيكية في مرحلة في .. يعني
+
+39
+00:02:52,630 --> 00:02:56,050
+بتخزن الطاقة لما نكون عندنا access of energy جاية
+
+40
+00:02:56,050 --> 00:03:01,090
+من ال crank، بخزن الطاقة لزيادة في سرعتها، أيش بالزيادة
+
+41
+00:03:01,090 --> 00:03:03,670
+و في حالة في عندي عجز في الطاقة باخد هذه الطاقة
+
+42
+00:03:03,670 --> 00:03:06,650
+من ال flywheel و بالتالي سرعتها هتنقص. ال flywheel
+
+43
+00:03:11,070 --> 00:03:14,370
+ال governor عرفناه اللي هو في الـ .. الـ governor
+
+44
+00:03:14,370 --> 00:03:19,290
+بيعمل تنظيم لسرعة ال engine لما نكون عندنا ال load
+
+45
+00:03:19,290 --> 00:03:26,450
+متغيرة. إذا ال load بيزيد، محتاج أعطي وقود أكثر عشان
+
+46
+00:03:26,450 --> 00:03:30,850
+أحافظ على السرعة. إذا ال load بينزل، محتاج أخفف كمية
+
+47
+00:03:30,850 --> 00:03:34,150
+الوقود لل engine عشان .. عشان أحافظ على نفس
+
+48
+00:03:34,150 --> 00:03:39,900
+السرعة. عرفنا أن المعامل التذبذب في السرعة
+
+49
+00:03:39,900 --> 00:03:44,100
+بيساوي اللي هو الفرق بين ال maximum speed و ال
+
+50
+00:03:44,100 --> 00:03:46,760
+minimum speed على ال average أو ال mean speed.
+
+51
+00:03:46,760 --> 00:03:50,040
+معامل
+
+52
+00:03:50,040 --> 00:03:53,560
+الثبات هو واحد على معامل التذبذب في السرعة، الـ Cm
+
+53
+00:03:53,560 --> 00:03:54,660
+بيساوي واحد على ال Cs.
+
+54
+00:03:59,350 --> 00:04:04,530
+ال energy stored in a flywheel أو التغير، Δ
+
+55
+00:04:04,530 --> 00:04:09,330
+E، الفرق بين ال maximum ال maximum kinetic
+
+56
+00:04:09,330 --> 00:04:11,950
+energy و ال minimum kinetic energy. ΔE مرتبط
+
+57
+00:04:11,950 --> 00:04:17,130
+بعلاقة I ω تربيع في Cs أو Mk تربيع ω
+
+58
+00:04:17,130 --> 00:04:22,470
+تربيع في Cs أو 2E في Cs. حاليًا مجموعة من ال
+
+59
+00:04:22,470 --> 00:04:22,870
+examples.
+
+60
+00:04:30,200 --> 00:04:33,900
+الآن هنشوف كيف نعمل design و dimensioning لـ ال
+
+61
+00:04:33,900 --> 00:04:38,520
+flywheel. أنا
+
+62
+00:04:38,520 --> 00:04:43,460
+عندي هنا، أنظر في الصورة، أنظر في الصورة، عندي ال
+
+63
+00:04:43,460 --> 00:04:50,580
+flywheel، عندي الـ r small، الـ r small هو ال mean rim
+
+64
+00:04:50,580 --> 00:04:56,870
+radius، ال mean radius of the rim. والدائرة الحمراء
+
+65
+00:04:56,870 --> 00:05:02,110
+المنقطة هذه، قطرها هو قطر الريم، ال main diameter of
+
+66
+00:05:02,110 --> 00:05:07,650
+the rim. المقطع، لو أخدت مقطع عمودي على الصفحة، هيكون
+
+67
+00:05:07,650 --> 00:05:11,530
+له thickness T، وبعد ثالث عمودي على الصفحة اللي هو
+
+68
+00:05:11,530 --> 00:05:15,390
+B، يعني هيكون مقطع له بعدين B اللي هو البعد الثالث
+
+69
+00:05:15,390 --> 00:05:22,050
+و T اللي هي thickness بتاعة الريم. و ρ هي الكثافة
+
+70
+00:05:22,050 --> 00:05:24,550
+لل rim material، لأنها ممكن تكون cast iron، ممكن
+
+71
+00:05:24,550 --> 00:05:30,110
+تكون steel. الـ N، الـ N اللي هي speed، ال mean speed of
+
+72
+00:05:30,110 --> 00:05:34,350
+a flywheel بوحدة ال RPM. الـ ω اللي هي ال mean
+
+73
+00:05:34,350 --> 00:05:37,330
+speed of the flywheel بوحدة ال radians per second.
+
+74
+00:05:37,330 --> 00:05:41,190
+الـ V اللي هي ال velocity، قدمين radians. الـ V هتكون بيساوي
+
+75
+00:05:41,190 --> 00:05:47,610
+R capital في ω، بتكون مماسة لدائرة ال
+
+76
+00:05:47,610 --> 00:05:54,880
+main circle لل rim. الـ σ هي hoop stress due
+
+77
+00:05:54,880 --> 00:05:59,680
+to centrifugal force، وهي الضغط الحلقي الناتج من قوة طرد
+
+78
+00:05:59,680 --> 00:06:04,120
+مركزي، تعمل hoop stress بتحاول هنا يعني بتحاول تشد
+
+79
+00:06:04,120 --> 00:06:08,180
+أو تفسخ الـ .. الـ .. الـ .. الـ .. المنطقة هذه، ال due
+
+80
+00:06:08,180 --> 00:06:12,340
+to internal tensile stress. عشان أحسب ال internal
+
+81
+00:06:12,340 --> 00:06:19,010
+tensile stress، السيجما، باخد element صغير
+
+82
+00:06:19,010 --> 00:06:25,210
+element هذا، زي الـ θ و هذا الـ Δθ. الآن
+
+83
+00:06:25,210 --> 00:06:27,810
+ال element هذا إيه كتلته؟ معناه تحكوا عليه قوة
+
+84
+00:06:27,810 --> 00:06:37,610
+طرد مركزي، قوة طرد مركزي عند
+
+85
+00:06:37,610 --> 00:06:41,250
+هذا ال element، تحكوا عليه، هذا هو ال element تبعي.
+
+86
+00:06:55,780 --> 00:07:00,880
+هتكون عليه قوة طرد مركزي، differential force، F
+
+87
+00:07:00,880 --> 00:07:09,640
+للخارج، الـ dF بيساوي
+
+88
+00:07:09,640 --> 00:07:20,960
+اللي هي A normal في dM، و الـ A normal عبارة عن ω
+
+89
+00:07:20,960 --> 00:07:21,560
+تربيع.
+
+90
+00:07:31,240 --> 00:07:35,780
+الآن الـ dM هذا
+
+91
+00:07:35,780 --> 00:07:39,520
+الطول، ال
+
+92
+00:07:39,520 --> 00:07:46,380
+dM هتكون بيساوي dM
+
+93
+00:07:46,380 --> 00:07:53,800
+ρ في dV، الـdV حجم ال element، هو الكثافة و دي ال
+
+94
+00:07:53,800 --> 00:08:03,160
+volume بتاع ال element، ρ في dV، الـ
+
+95
+00:08:03,160 --> 00:08:15,660
+dV عبارة عن مساحة المقطع اللي هي هتكون r dr dθ
+
+96
+00:08:24,480 --> 00:08:30,560
+r dr dθ في ال
+
+97
+00:08:30,560 --> 00:08:36,440
+A، ال
+
+98
+00:08:36,440 --> 00:08:47,420
+A هتكون r dr dθ. لو بنعوضها مثلاً، الـ dF
+
+99
+00:08:51,160 --> 00:09:10,900
+بيساوي ω تربيع r dM، ρ r  dr dθ، ρ
+
+100
+00:09:10,900 --> 00:09:15,060
+dr dθ، ρ dr dθ، ρ dr dθ
+
+101
+00:09:19,930 --> 00:09:26,890
+لو حللت لمركبتين، dF
+
+102
+00:09:26,890 --> 00:09:40,350
+زاوية θ، cos θ، عندي هنا dF sin θ
+
+103
+00:09:43,740 --> 00:09:49,800
+المركبة dF sin θ هي اللي بتحاول تعمل stress، هو ب
+
+104
+00:09:49,800 --> 00:09:54,760
+stress على المقطع، يعني
+
+105
+00:09:54,760 --> 00:10:01,280
+فأنا
+
+106
+00:10:01,280 --> 00:10:13,240
+بالتالي، الـ dF sin θ هتساوي ω تربيع r تربيع ρ A sin
+
+107
+00:10:13,240 --> 00:10:20,380
+θ dθ. الـ
+
+108
+00:10:20,380 --> 00:10:27,040
+total vertical upward force، الـ F upward هيكون تكامل
+
+109
+00:10:27,040 --> 00:10:37,280
+dF sin θ من 0 لـ 2π، من 0 لـ π، يعني هتكون
+
+110
+00:10:38,010 --> 00:10:44,370
+تكامل من صفر لـ π. نعوض عن dF sin θ، ω تربيع r
+
+111
+00:10:44,370 --> 00:10:52,470
+تربيع ρ A sin θ dθ. هاخد طبعًا ω تربيع راح
+
+112
+00:10:52,470 --> 00:10:58,790
+تطلع بره ال integral، ω تربيع r تربيع ρ A
+
+113
+00:10:58,790 --> 00:11:06,770
+تكامل sin θ dθ اللي هي عبارة عن -cos θ من
+
+114
+00:11:06,770 --> 00:11:12,610
+صفر لـ π هتساوي ω تربيع - ω
+
+115
+00:11:12,610 --> 00:11:23,910
+تربيع r تربيع ρ A في cos π ناقص
+
+116
+00:11:23,910 --> 00:11:29,190
+cos صفر. cos π ب -1، يعني هيكون -
+
+117
+00:11:29,190 --> 00:11:34,090
+1 ناقص 1 بيصير -2 في - بيصير
+
+118
+00:11:34,090 --> 00:11:45,920
+2. 2 ω تربيع r تربيع ρ في A. هذا ال
+
+119
+00:11:45,920 --> 00:11:53,500
+upward force. ال stress، σ، هيساوي
+
+120
+00:11:53,500 --> 00:12:00,720
+الـ F upwards على ال area اللي فيها ال stress لو
+
+121
+00:12:00,720 --> 00:12:10,090
+هيساوي 2ω تربيع r تربيع ρ A على 2 الـ
+
+122
+00:12:10,090 --> 00:12:17,370
+A هتكون على 2 الـ A، يعني
+
+123
+00:12:17,370 --> 00:12:22,030
+هيروح عند A مع A، و 2 مع 2، بيصير عندي
+
+124
+00:12:22,030 --> 00:12:26,310
+ω تربيع r تربيع ρ
+
+125
+00:12:37,620 --> 00:12:42,360
+اللي هي ال stress، ال hoop stress عند مقطع ال
+
+126
+00:12:42,360 --> 00:12:50,660
+flywheel. ال mass، ال mass، هنا ال
+
+127
+00:12:50,660 --> 00:12:57,380
+mass، لو عملت integral هنا ده من صفر لـ π، ال
+
+128
+00:12:57,380 --> 00:13:05,360
+mass هتكون المحيط بتاعة ال rim circle، 2πr في
+
+129
+00:13:08,160 --> 00:13:16,020
+في مساحة المقطع في الكثافة، يعني ال area هتكون
+
+130
+00:13:16,020 --> 00:13:27,900
+بيساوي M على 2πr، M على 2πr. M على
+
+131
+00:13:27,900 --> 00:13:31,240
+2πr.
+
+132
+00:13:35,740 --> 00:13:40,240
+معنى أن أنا عندي معادلتين، determined، determining، أو
+
+133
+00:13:40,240 --> 00:13:43,920
+ممكن اسمه loss sizing للـ .. لل flow، اللي هي σ
+
+134
+00:13:43,920 --> 00:13:48,980
+بيساوي ρ r... ρ r... ρ r... ρ r...ρ r...ρ r... ρ r...ρ r... ρ
+
+135
+00:13:48,980 --> 00:13:49,720
+r... ρ r... ρ r... ρ r...ρ r...ρ r...ρ r...ρ r...ρ
+
+136
+00:13:49,720 --> 00:13:50,020
+r...ρ r...ρ r...ρ r...ρ r...ρ r...ρ r...ρ r...ρ r...
+
+137
+00:13:50,020 --> 00:13:50,040
+r...ρ r...ρ r...ρ r...ρ r...ρ r...ρ r...ρ r...ρ r...
+
+138
+00:13:50,040 --> 00:13:50,060
+r...ρ r...ρ r...ρ r...ρ r...ρ r...ρ r...ρ r...ρ r...
+
+139
+00:13:50,060 --> 00:13:53,620
+r...ρ r...ρ r...ρ r...ρ r...
+
+140
+00:13:53,620 --> 00:13:59,880
+ρ
+
+141
+00:14:12,760 --> 00:14:15,620
+Turning moment diagram for a multi-cylinder engine
+
+142
+00:14:15,620 --> 00:14:19,600
+has been drawn to a scale of one millimetre. عند
+
+143
+00:14:19,600 --> 00:14:22,960
+التاني turning moment diagram اللي هو هذا. هذا عند multi
+
+144
+00:14:22,960 --> 00:14:25,780
+-cylinder engine، وهذا الثاني turning moment diagram تبعه
+
+145
+00:14:25,780 --> 00:14:33,360
+مرسوم لـ scale، كل 1 millimetre على الـ .. على الـ
+
+146
+00:14:33,360 --> 00:14:38,460
+.. الـ .. الـ .. الـ moment axis، 1 millimetre
+
+147
+00:14:38,460 --> 00:14:49,710
+equivalent لـ 50 نيوتن متر، وعلى الـ X-axis، 1
+
+148
+00:14:49,710 --> 00:14:58,470
+مليمتر equivalent لـ 6 degrees of the crank
+
+149
+00:14:58,470 --> 00:15:05,590
+angle. ال engine is running at 800 rpm. ال
+
+150
+00:15:05,590 --> 00:15:12,460
+N بتاعة ال engine 800 rpm، يعني الـ ω هتكون
+
+151
+00:15:12,460 --> 00:15:22,960
+بيساوي 800 في 2π على 60، يعني
+
+152
+00:15:22,960 --> 00:15:34,420
+هتكون بيساوي 80π على 3 راديان لكل second.
+
+153
+00:15:37,730 --> 00:15:40,410
+The engine has a stroke of 300
+
+154
+00:15:40,410 --> 00:15:45,630
+millimeters. ال stroke بتاعة ال engine 300
+
+155
+00:15:45,630 --> 00:15:49,670
+مليمتر.
+
+156
+00:15:49,670 --> 00:15:54,850
+and fluctuation of speed is not to exceed plus or
+
+157
+00:15:54,850 --> 00:15:59,370
+minus 2% of the mean speed. معناه بيعطيني
+
+158
+00:15:59,370 --> 00:16:06,490
+معامل التذبذب في السرعة، Cs، بيساوي 2 في 100، أو
+
+159
+00:16:06,490 --> 00:16:14,660
+2، بيساوي 0.04. هذا ال Cs. determine a
+
+160
+00:16:14,660 --> 00:16:22,000
+suitable diameter، أوجد قطر مناسب، D capital، لـ ال
+
+161
+00:16:22,000 --> 00:16:27,600
+flywheel، و cross section لل flywheel rim، والـ cross
+
+162
+00:16:27,600 --> 00:16:34,980
+section area لل flywheel rim. for a limiting value of
+
+163
+00:16:34,980 --> 00:16:38,660
+safe central stress، limiting value σ، عندي
+
+164
+00:16:38,660 --> 00:16:47,340
+المسموح بها أو ال maximum، 7 ميجا باسكال. The
+
+165
+00:16:47,340 --> 00:16:50,360
+material density may be assumed. معطى ال density
+
+166
+00:16:50,360 --> 00:16:54,960
+ب 7000
+
+167
+00:16:54,960 --> 00:17:04,900
+كيلوجرام على المتر المكعب. The width of
+
+168
+00:17:04,900 --> 00:17:08,400
+the rim is
+
+169
+00:17:08,400 --> 00:17:11,760
+to be five times the thickness. الـ B بتاع ال rim
+
+170
+00:17:11,760 --> 00:17:18,700
+خمسة، خمس مرات ال thickness. بده
+
+171
+00:17:18,700 --> 00:17:24,080
+الـ D و الـ A طبعًا
+
+172
+00:17:24,080 --> 00:17:31,540
+أنا خليني نرجع، نرجع جوا عشان
+
+173
+00:17:31,540 --> 00:17:32,380
+أحسب الـ
+
+174
+00:17:37,130 --> 00:17:42,330
+عشان أحسب الـ A، عشان
+
+175
+00:17:42,330 --> 00:17:47,590
+أحسب ال cross section، عشان
+
+176
+00:17:47,590 --> 00:17:55,450
+أحسب الـ A، الـ A بيساوي إيش؟ M على
+
+177
+00:17:55,450 --> 00:18:02,710
+2πr. طب أنا بعرف الـ M ولا بعرف الـ D، بعرف الـ r بس.
+
+178
+00:18:02,710 --> 00:18:12,500
+المعنى هو لازم أحسب إيش؟ أحسب الـ r، لأن عشان أحسب الـ
+
+179
+00:18:12,500 --> 00:18:21,360
+r، ممكن نهدي المعادلة، σ بيساوي
+
+180
+00:18:21,360 --> 00:18:27,220
+ρ r تربيع ω تربيع.
+
+181
+00:18:30,980 --> 00:18:36,020
+معناته أنا معروف عندي الـ σ، معروف عندي الـ ρ،
+
+182
+00:18:36,020 --> 00:18:41,2
+
+223
+00:25:22,040 --> 00:25:39,120
+ثلاثين and CE-30 E-30 E-40 E-40 E-30 E-40 E-40 E
+
+224
+00:25:39,120 --> 00:25:39,620
+-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E
+
+225
+00:25:39,620 --> 00:25:39,760
+-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E
+
+226
+00:25:39,760 --> 00:25:41,560
+-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E
+
+227
+00:25:41,560 --> 00:25:44,560
+-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E
+
+228
+00:25:44,560 --> 00:25:44,800
+-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E
+
+229
+00:25:44,800 --> 00:25:49,500
+-40 E-40 E-40 E-40 E-40 E
+
+230
+00:25:49,500 --> 00:25:54,920
+-40 E-40
+
+231
+00:25:54,920 --> 00:26:01,210
+E-عند D هتكون
+
+232
+00:26:01,210 --> 00:26:08,930
+الـ E عند C ناقص 280 يعني هتكون E زائد 380 ناقص 280
+
+233
+00:26:08,930 --> 00:26:19,170
+يعني E زائد 100 عند E E زائد 100 عند E هتكون
+
+234
+00:26:19,170 --> 00:26:27,420
+الـ energy عند D زائد 320 يعني هتكون E زائد أربعمئة
+
+235
+00:26:27,420 --> 00:26:32,280
+و عشرين and
+
+236
+00:26:32,280 --> 00:26:38,020
+if هتكون
+
+237
+00:26:38,020 --> 00:26:43,700
+هتطرح اللي هتكون E زائد أربعمئة و عشرين ناقص
+
+238
+00:26:43,700 --> 00:26:52,300
+ثلاثمئة و ثلاثين يعني هتكون E زائد تسعين and
+
+239
+00:26:52,300 --> 00:26:52,740
+G
+
+240
+00:26:58,530 --> 00:27:02,970
+هتكون E زائد تسعين زائد مائتين وخمسين يعني E زائد
+
+241
+00:27:02,970 --> 00:27:13,150
+ثلاثمئة وأربعين E زائد ثلاثمئة وأربعين عند
+
+242
+00:27:13,150 --> 00:27:17,330
+H هطرح
+
+243
+00:27:17,330 --> 00:27:23,710
+منها ثلاثمئة وستين هتصير E ناقص عشرين
+
+244
+00:27:26,370 --> 00:27:33,390
+عند K هضيف عليها 280 عند K هضيف عليها 280 هتصير E
+
+245
+00:27:33,390 --> 00:27:47,190
+زائد 260 عند L هطرح 260 هتكون تساوي E طيب
+
+246
+00:27:47,190 --> 00:27:53,830
+واضح وين الـ maximum في عندي هنا الـ B is minimum
+
+247
+00:28:01,200 --> 00:28:05,580
+هذه الـ minimum و
+
+248
+00:28:05,580 --> 00:28:15,680
+maximum و هذه الـ
+
+249
+00:28:15,680 --> 00:28:24,700
+ماكسيموم أما
+
+250
+00:28:24,700 --> 00:28:32,910
+أنا أتوحك دلتا E هتكون إذا E ماكسيموم ناقص E
+
+251
+00:28:32,910 --> 00:28:44,850
+مينيموم هتساوي اللي هي E زائد 420 ناقص
+
+252
+00:28:44,850 --> 00:28:53,350
+E ناقص ثلاثين
+
+253
+00:28:53,350 --> 00:28:58,250
+يعني هتكون تساوي 450
+
+254
+00:29:01,570 --> 00:29:07,790
+مليمتر مربع الآن نرجع هنا في الـ scale بتاعنا
+
+255
+00:29:07,790 --> 00:29:14,010
+سأحولها لوحدات طاقة هذه لوحدات مليمتر الواحد ملي
+
+256
+00:29:14,010 --> 00:29:18,830
+متر square يعادل
+
+257
+00:29:18,830 --> 00:29:29,080
+خمسمائة نيوتن متر في ست درجات يعني هأضرب الدرجة ده و
+
+258
+00:29:29,080 --> 00:29:39,220
+أحولها للراديان يعني هأحولها في باي على 180 أنا
+
+259
+00:29:39,220 --> 00:29:46,840
+عندي 450 يعني عند 450 هتكون
+
+260
+00:29:46,840 --> 00:29:51,020
+equivalent لـ 450 في الرقم هذا يعني هتصير عندي الـ
+
+261
+00:29:51,020 --> 00:29:55,140
+delta E هتكون
+
+262
+00:29:55,140 --> 00:30:08,060
+تساوي 450 في 500 في 6 في باي على 180
+
+263
+00:30:08,060 --> 00:30:13,600
+النيوتن
+
+264
+00:30:13,600 --> 00:30:19,960
+متر هتكون 450 في 500
+
+265
+00:30:22,390 --> 00:30:31,690
+في 6 في باي تقسيم 180 تطلع ثلاثة و
+
+266
+00:30:31,690 --> 00:30:37,710
+عشرين ألفا و خمسمائة و خمسون ثلاثة و عشرون ألفا و
+
+267
+00:30:37,710 --> 00:30:41,910
+خمسمائة و خمسون نيوتن متر
+
+268
+00:30:45,680 --> 00:30:48,160
+معناته خلص Delta E صارت معروفة والـ R معروفة حسينا
+
+269
+00:30:48,160 --> 00:30:51,180
+أن الـ .. الـ .. الـ .. الـ .. الـ mass Delta E اللي هي
+
+270
+00:30:51,180 --> 00:30:59,100
+ثلاثة وعشرون ألفا وخمسمائة وخمسون على الـ R اللي هي R
+
+271
+00:30:59,100 --> 00:31:06,120
+square point ثلاثة سبعة اثنين تربيع في الـ Omega
+
+272
+00:31:06,120 --> 00:31:15,860
+square اللي هي ثمانون by  ثلاثة لكل تربيع في الـ CS
+
+273
+00:31:15,860 --> 00:31:24,620
+تحت في المقام اللي هي point صفر أربعة منها
+
+274
+00:31:24,620 --> 00:31:31,580
+أحسب إيش الـ mass هتطلع تقسيم
+
+275
+00:31:31,580 --> 00:31:33,900
+point ثلاثة سبعة
+
+276
+00:32:11,330 --> 00:32:19,970
+بتطلع ستمائة و سبعة كيلو جرام الـ
+
+277
+00:32:19,970 --> 00:32:23,870
+mass الآن صارت
+
+278
+00:32:23,870 --> 00:32:27,490
+معروفة عندي لما أنا ممكن أحسب الـ area الـ area بتاعة
+
+279
+00:32:27,490 --> 00:32:37,870
+المقطع بيساوي M على باي D for all الـ M عندي ستمائة و
+
+280
+00:32:37,870 --> 00:32:51,580
+سبعة على الـ باي الـ D اللي هي point 744
+
+281
+00:32:51,580 --> 00:33:06,760
+معطينيها سبعة آلاف و مائتين يعني
+
+282
+00:33:06,760 --> 00:33:22,640
+أنا هيكون لدي ستمائة وسبعة تقسيم باي بتطلع
+
+283
+00:33:22,640 --> 00:33:33,840
+point صفر ثلاثة ستة point صفر ثلاثة ستة متر مربع طيب
+
+284
+00:33:33,840 --> 00:33:37,920
+الـ area بتساوي
+
+285
+00:33:40,400 --> 00:33:45,100
+بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت
+
+286
+00:33:45,100 --> 00:33:49,500
+بفت بفت بفت بفت بفت بفت بفت بفت
+
+287
+00:33:49,500 --> 00:33:51,240
+بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت
+
+288
+00:33:51,240 --> 00:33:51,920
+بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت
+
+289
+00:33:51,920 --> 00:33:54,100
+بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت
+
+290
+00:33:54,100 --> 00:33:55,620
+بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت
+
+291
+00:33:55,620 --> 00:34:05,240
+بفت بفت بفت بفت بفت بفت
+
+292
+00:34:05,240 --> 00:34:08,460
+بف
+
+293
+00:34:21,160 --> 00:34:32,960
+ومنها أحسب الـ T اللي هتكون point صفر تقسيم
+
+294
+00:34:32,960 --> 00:34:45,480
+خمسة تحت الجذر تطلع point صفر ثمانية خمسة متر تطلع T
+
+295
+00:34:45,480 --> 00:34:56,210
+بالساعة point صفر ثمانية خمسة متر يعني في الـ
+
+296
+00:34:56,210 --> 00:35:01,390
+millimeter  أضربها في ألف هتكون خمسة و ثمانون millimeter
+
+297
+00:35:01,390 --> 00:35:08,190
+و الـ B هتكون خمسة في خمسة وثمانين خمسة في خمسة بخمسة
+
+298
+00:35:08,190 --> 00:35:14,670
+و عشرين خمسة في ثمانية باتنين وأربعين millimeter
+
+299
+00:35:19,840 --> 00:35:23,120
+هكذا احنا عملنا design flywheel جبنا كل مقاساتها
+
+300
+00:35:23,120 --> 00:35:30,200
+بناء على المعلومات المتاحة عنها طيب
+
+301
+00:35:30,200 --> 00:35:31,860
+نحّل مثال آخر
+
+302
+00:36:17,750 --> 00:36:22,010
+الحل مثال آخر عندي
+
+303
+00:36:22,010 --> 00:36:26,870
+a single cylinder double acting steam engine يعني
+
+304
+00:36:26,870 --> 00:36:35,350
+single خلال خاصية single cylinder double
+
+305
+00:36:35,350 --> 00:36:42,690
+acting steam engine single cylinder double acting
+
+306
+00:36:42,690 --> 00:36:48,230
+steam engine develops مائة و خمسين كيلو وات يعني الـ
+
+307
+00:36:48,230 --> 00:36:56,630
+power بتاعته بالضبط مائة و خمسين كيلو وات at a
+
+308
+00:36:56,630 --> 00:37:11,950
+mean speed الآن بالضبط ثمانين باي ثمانين rpm يعني
+
+309
+00:37:11,950 --> 00:37:18,570
+الـ omega هتكون ثمانون في اثنين باي على ستين يعني
+
+310
+00:37:18,570 --> 00:37:24,230
+هتساوي
+
+311
+00:37:24,230 --> 00:37:32,970
+هتساوي
+
+312
+00:37:32,970 --> 00:37:45,660
+ثمانية point ثلاثة سبعة ثلاثة radian كل second the
+
+313
+00:37:45,660 --> 00:37:49,020
+coefficient of fluctuation of energy معامل التذبذب
+
+314
+00:37:49,020 --> 00:37:53,500
+في الطاقة CE بتساوي
+
+315
+00:37:53,500 --> 00:37:57,940
+point واحد و
+
+316
+00:37:57,940 --> 00:38:00,980
+fluctuation of speed is plus or minus two percent
+
+317
+00:38:00,980 --> 00:38:06,180
+of the mean speed  يعني الـ CS هيكون يساوي اثنين في
+
+318
+00:38:06,180 --> 00:38:09,220
+point صفر اثنين هيساوي point صفر أربعة
+
+319
+00:38:13,410 --> 00:38:17,130
+if the main diameter of the flywheel rim is two
+
+320
+00:38:17,130 --> 00:38:21,330
+meters and
+
+321
+00:38:21,330 --> 00:38:25,290
+the
+
+322
+00:38:25,290 --> 00:38:30,590
+hub and spokes provide أنا عندي الـ flywheel بتكون
+
+323
+00:38:30,590 --> 00:38:37,750
+مثل هذا شكلها في عندي في النص وفي عندي الـ hub الـ rim
+
+324
+00:38:37,750 --> 00:38:54,070
+الخارجي وفي الـ spokes بتاعتها هذه الـ spokes the
+
+325
+00:38:54,070 --> 00:38:57,130
+hub and spokes provide 5% of the rotational
+
+326
+00:38:57,130 --> 00:39:04,070
+inertia of the flywheel يعني الـ I الكلية هتكون الـ I
+
+327
+00:39:04,070 --> 00:39:08,590
+بتاعة الـ Hub و
+
+328
+00:39:08,590 --> 00:39:21,290
+الـ Spokes زائد الـ I بتاعة الـ Rim الـ
+
+329
+00:39:21,290 --> 00:39:25,510
+I بتاعة الـ Hub معطينة
+
+330
+00:39:25,510 --> 00:39:31,450
+بالضبط point صفر خمسة من الـ I الكلية
+
+331
+00:39:33,940 --> 00:39:42,120
+معناته I بتاعة الـ rim لسة point صفر point تسعة خمسة من الـ I
+
+332
+00:39:42,120 --> 00:39:46,920
+الكلية للـ flywheel find
+
+333
+00:39:46,920 --> 00:39:55,120
+the mass بده الـ mass و
+
+334
+00:39:55,120 --> 00:39:58,480
+the cross sectional area of the flywheel rim هو
+
+335
+00:39:58,480 --> 00:40:01,720
+مقطع الـ flywheel rim الـ A
+
+336
+00:40:08,300 --> 00:40:11,660
+assume density of the flywheel material cast iron
+
+337
+00:40:11,660 --> 00:40:16,300
+الكثافة للمصنوع من الـ cast iron الكثافة هتكون
+
+338
+00:40:16,300 --> 00:40:22,940
+سبعة آلاف و مائتين كيلو جرام على المتر المكعب
+
+339
+00:40:44,830 --> 00:40:50,270
+طيب بده الـ I معطيني الـ coefficient of fluctuation
+
+340
+00:40:50,270 --> 00:40:59,890
+of الـ CE الـ CE إيش شو يساوي؟ الـ CE بيساوي delta E
+
+341
+00:40:59,890 --> 00:41:04,230
+على E نرجع لها .. نرجع رجوعا .. نرجع للمعادلات
+
+342
+00:41:23,640 --> 00:41:31,060
+الـ CE بتساوي
+
+343
+00:41:31,060 --> 00:41:35,480
+الـ maximum fluctuation of energy يعني الـ maximum
+
+344
+00:41:35,480 --> 00:41:43,360
+delta E على الـ work done per cycle
+
+345
+00:41:54,090 --> 00:42:05,770
+و الـ CS بيساوي N واحد ناقص N اثنين على N  لا نحتاج
+
+346
+00:42:05,770 --> 00:42:12,570
+الماس و الـ Delta E أنا أحاول أن أحط لكم عشان نستكشف
+
+347
+00:42:12,570 --> 00:42:17,570
+الحل Delta E بيساوي
+
+348
+00:42:17,570 --> 00:42:21,190
+Delta
+
+349
+00:42:21,190 --> 00:42:21,510
+E
+
+350
+00:42:25,390 --> 00:42:42,130
+Delta E بيساوي M K تربيع Omega تربيع CS و
+
+351
+00:42:42,130 --> 00:42:45,070
+الـ .. و الـ mass هذه الـ mass و الـ area
+
+352
+00:42:54,920 --> 00:43:01,660
+و الـ area بيساوي الـ
+
+353
+00:43:01,660 --> 00:43:11,920
+mass على باي D في رو  عشان
+
+354
+00:43:11,920 --> 00:43:15,400
+أجد الـ cross section أحتاج الـ mass الـ mass  ليس
+
+355
+00:43:15,400 --> 00:43:21,760
+معروفة عندي و أحتاج الـ D موجودة و الـ رو موجودة لأن
+
+356
+00:43:21,760 --> 00:43:25,440
+ممكن أرجع لمعادلة delta E عشان أحسب الـ mass delta E
+
+357
+00:43:25,440 --> 00:43:28,840
+بيساوي M K تربيع Omega تربيع CS الـ CS معروفة و
+
+358
+00:43:28,840 --> 00:43:32,700
+الـ K معروفة و الـ delta E غير معروفة معناته لازمني
+
+359
+00:43:32,700 --> 00:43:41,680
+أحسب الـ delta E معناته delta E هتكون تساوي CE في
+
+360
+00:43:41,680 --> 00:43:47,100
+الـ work done per cycle الـ work done per cycle
+
+361
+00:43:50,880 --> 00:44:05,220
+work done per cycle نرجع رجوعا بالمعادلة
+
+362
+00:44:05,220 --> 00:44:17,840
+من صفحة  البعد P work done per cycle P في ستين على
+
+363
+00:44:17,840 --> 00:44:18,620
+N صغيرة
+
+364
+00:44:21,410 --> 00:44:27,150
+في هي الـ power الـ N الصغيرة في حالة steam engine
+
+365
+00:44:27,150 --> 00:44:33,010
+بيساوي N كبيرة الـ N الصغيرة بيساوي N الكبيرة معناته
+
+366
+00:44:33,010 --> 00:44:45,570
+الـ work per cycle  يساوي P في ستين على N هيكون
+
+367
+00:44:45,570 --> 00:44:54,030
+الـ يساوي W للدورة الـ power عندي 150 كيلوواط يعني
+
+368
+00:44:54,030 --> 00:45:00,750
+150 في ألف في
+
+369
+00:45:00,750 --> 00:45:07,490
+ستين الآن عندي ثمانون بمعنى أن أنا حسبت الـ work
+
+370
+00:45:07,490 --> 00:45:18,830
+per cycle هيكون عندي 150 ألف في
+
+371
+00:45:18,830 --> 00:45:19,450
+ستين
+
+372
+00:45:23,220 --> 00:45:33,300
+تقسيم ثمانين بيطلع مائة و اثني عشر ألفا و خمسمائة نيوتن
+
+373
+00:45:33,300 --> 00:45:38,520
+متر و
+
+374
+00:45:38,520 --> 00:45:42,860
+سنعطي الـ delta E  الآن
+
+375
+00:45:42,860 --> 00:45:48,100
+بـ يساوي الـ CE اللي هي عشرة في الـ work done per
+
+376
+00:45:48,100 --> 00:45:53,590
+cycle في مائة و اثني عشر ألفا وخمسمائة هتساوي معناته
+
+377
+00:45:53,590 --> 00:45:58,090
+أحد عشر
+
+378
+00:45:58,090 --> 00:46:07,530
+ألفا و مائتين و خمسين نيوتن متر هذا الـ delta E الـ
+
+379
+00:46:07,530 --> 00:46:12,330
+M الـ
+
+380
+00:46:12,330 --> 00:46:17,570
+M من هذه المعادلة الـ M
+
+381
+00:46:27,190 --> 00:46:33,690
+هتساوي الـ I أو خلينا نحكي المعادلة مرة أخرى الـ
+
+382
+00:46:33,690 --> 00:46:37,450
+delta E الـ
+
+383
+00:46:37,450 --> 00:46:47,530
+delta E بيساوي I الكلية في
+
+384
+00:46:47,530 --> 00:46:52,110
+omega تربيع CS
+
+385
+00:46:57,520 --> 00:47:02,800
+معناته الـ I الكلية
+
+386
+00:47:02,800 --> 00:47:08,780
+هتكون يساوي Delta E اللي هي مائة و اثني عشر ألفا و
+
+387
+00:47:08,780 --> 00:47:13,560
+مئتين و خمسين على
+
+388
+00:47:13,560 --> 00:47:20,940
+Omega تربيع اللي هي ثمانية point ثلاثة سبعة
+
+389
+00:47:23,200 --> 00:47:30,060
+ثلاثة تربيع في الـ CS اللي هو point صفر أربعة يعني الـ
+
+390
+00:47:30,060 --> 00:47:30,840
+I هتطلع
+
+391
+00:47:59,160 --> 00:48:08,300
+تطلع أربعة آلاف و اثني عشر كيلو جرام أربعة آلاف و اثني عشر
+
+392
+00:48:08,300 --> 00:48:15,190
+كيلو جرام متر تربيع هذه الـ I الكلية including الـ
+
+393
+00:48:15,190 --> 00:48:23,550
+hub و الـ rim الـ I
+
+394
+00:48:23,550 --> 00:48:24,230
+بتاعة الـ rim
+
+395
+00:48:38,390 --> 00:48:43,470
+هتساوي 0.95 من الـ I الكلية يعني هتكون يساوي
+
+396
+00:48:43,470 --> 00:48:49,910
+0.95 من الـ I الكلية اللي هي أربعة آلاف و اثني عشر
+
+397
+00:48:49,910 --> 00:48:53,790
+هتساوي
+
+398
+00:48:53,790 --> 00:49:00,330
+طيب
+
+399
+00:49:00,330 --> 00:49:03,350
+يعني
+
+400
+00:49:03,350 --> 00:49:11,100
+أربعة آلاف و اثني عشر في 0.95 بيعطيني ثلاثة آلاف و م
+
+445
+00:55:34,640 --> 00:55:44,580
+واحد من minimum speed اللي هي 98 rpm و
+
+446
+00:55:44,580 --> 00:55:52,740
+الـ N اتنين 102 rpm، معناه أن الـ minimum speed أصلاً
+
+447
+00:55:52,740 --> 00:55:57,730
+متواصلة، هم هتكون الـ average، هم هتكون الـ Nمي و
+
+448
+00:55:57,730 --> 00:56:07,530
+اتنين زائد اتنين على اتنين بتطلع 100 rpm. Also
+
+449
+00:56:07,530 --> 00:56:15,310
+find the size of
+
+450
+00:56:15,310 --> 00:56:20,840
+a rim type flywheel based on minimum material
+
+451
+00:56:20,840 --> 00:56:23,920
+criterion, given that the density of the flywheel
+
+452
+00:56:23,920 --> 00:56:26,820
+material is 8150, and the density of the flywheel
+
+453
+00:56:26,820 --> 00:56:31,540
+material ρ = 8150
+
+454
+00:56:31,540 --> 00:56:42,020
+kilogram/ المتر المكعب، أولاً
+
+455
+00:56:42,020 --> 00:56:45,780
+ثانياً، الـ stress of flywheel material σ
+
+456
+00:56:49,340 --> 00:56:59,140
+اللي هي 7.5 ميجا باسكال، الـ
+
+457
+00:56:59,140 --> 00:57:02,440
+rim cross section is rectangular. مقطع الـ rim
+
+458
+00:57:02,440 --> 00:57:10,400
+مستطيل، one side being four times the other، يعني الـ
+
+459
+00:57:10,400 --> 00:57:14,960
+B = 4T
+
+460
+00:57:17,990 --> 00:57:24,670
+بده مساحة المقطع، طيب
+
+461
+00:57:24,670 --> 00:57:37,250
+أنا عندي... هاي... هاي عندي... هاي
+
+462
+00:57:37,250 --> 00:57:43,810
+عندي الـ
+
+463
+00:57:43,810 --> 00:57:49,620
+thermogram للمحرك، خليني أستحضر
+
+464
+00:57:49,620 --> 00:57:54,220
+المعادلات، عندي المعادلات، إذا فاكرينها، الـ ΔE
+
+465
+00:57:54,220 --> 00:57:58,040
+إيش
+
+466
+00:57:58,040 --> 00:58:09,240
+بتساوي؟ خليني أرجع لجوه، خليني
+
+467
+00:58:09,240 --> 00:58:13,640
+أحكي أولاً، الـ σ بحط
+
+468
+00:58:13,640 --> 00:58:17,340
+المعادلات أمامنا، الـ σ =
+
+469
+00:58:20,130 --> 00:58:27,490
+ρωR²ω²، هي المعادلة، وعند الـ
+
+470
+00:58:27,490 --> 00:58:31,970
+Area بتاعة الـ cross section بتاع الـ rim = M
+
+471
+00:58:31,970 --> 00:58:34,990
+على
+
+472
+00:58:34,990 --> 00:58:41,450
+πD⁴، وعند
+
+473
+00:58:41,450 --> 00:58:52,550
+الـ CS = N₁ - N₂ على N، وأندي الـ
+
+474
+00:58:52,550 --> 00:58:56,610
+ΔA =
+
+475
+00:59:34,530 --> 00:59:46,910
+الـ ΔA = Iω²CS، هو بده الـ I
+
+476
+00:59:46,910 --> 00:59:55,130
+بده الـ I، معناه عشان أحسب الـ I، بالزمن أحسب ΔA
+
+477
+00:59:55,130 --> 01:00:00,310
+وبالزمن أحسب CS، CS هي
+
+478
+01:00:11,490 --> 01:00:16,810
+CS = N₁ - N₂... N₂ - N₁
+
+479
+01:00:16,810 --> 01:00:26,770
+على N، المهم، 2 - 98 على 100
+
+480
+01:00:26,770 --> 01:00:33,810
+يعني بيطلع الـ CS = 0.4، حسبنا الـ CS
+
+481
+01:00:39,980 --> 01:00:44,360
+الـ ω، معطيني الآن بحث الـ ω، الآن عندي 100
+
+482
+01:00:44,360 --> 01:01:04,380
+في 2π على 60 هتساوي، تطلع
+
+483
+01:01:04,380 --> 01:01:06,460
+10.47
+
+484
+01:01:09,610 --> 01:01:17,310
+rad/s، يبقى الـ ω، معناته بالزمن
+
+485
+01:01:17,310 --> 01:01:21,310
+كمان ΔE، ΔE، طب هو معطيني الـ turning
+
+486
+01:01:21,310 --> 01:01:24,650
+moment diagram، معطيني الـ turning moment diagram
+
+487
+01:01:24,650 --> 01:01:30,230
+معطيني
+
+488
+01:01:30,230 --> 01:01:31,950
+الـ turning moment diagram
+
+489
+01:01:39,290 --> 01:01:44,830
+عندي لحظة في الـ... في الـ four stroke engine بتكون
+
+490
+01:01:44,830 --> 01:01:47,850
+الدورة كاملة، عندي suction و compression، وعندي
+
+491
+01:01:47,850 --> 01:01:52,310
+expansion و exhaust، عندي بتكون 4π، 4π
+
+492
+01:01:52,310 --> 01:02:00,830
+بثواني، ممكن أنا أحسب، ممكن أحسب، ممكن
+
+493
+01:02:00,830 --> 01:02:07,310
+أحسب أولاً الـ T main، بعدين أحسب الـ ΔE، الـ T
+
+494
+01:02:07,310 --> 01:02:14,640
+main، كيف هحسبها؟ هتكون عندي الـ net area، هتكون اللي
+
+495
+01:02:14,640 --> 01:02:20,040
+هو a₃ - a₁ - a₂ - a₄، خلينا نحطها عشان إذا
+
+496
+01:02:20,040 --> 01:02:29,620
+هستخدم minus، هعملها plus، اللي
+
+497
+01:02:29,620 --> 01:02:38,520
+هو الـ total أو الـ work في الـ cycle
+
+498
+01:02:41,220 --> 01:02:52,400
+هيكون اللي هو a₃ - a₁ - a₂ - a₄ =
+
+499
+01:02:52,400 --> 01:03:05,780
+a₃ = 58 - a₁ = 5 - a₂ = 1
+
+500
+01:03:05,780 --> 01:03:15,670
+و 20 - a₄ = 8، كله في 10⁻⁵، يعني
+
+501
+01:03:15,670 --> 01:03:21,250
+58 - 5 - 20 - 8 = 25، هتكون 25 في
+
+502
+01:03:21,250 --> 01:03:35,350
+10⁻⁵ متر مربع، هذا أولاً، أنا المتر مربع
+
+503
+01:03:35,350 --> 01:03:42,150
+عندي equivalent لـ 14 ميجا نيوتن متر، يعني هتكون 51
+
+504
+01:03:42,150 --> 01:03:45,830
+في 10⁻⁵ في 14 × 10⁶ يعني هتكون
+
+505
+01:03:45,830 --> 01:03:55,850
+=
+
+506
+01:03:55,850 --> 01:03:56,430
+تساوي
+
+507
+01:04:02,120 --> 01:04:07,400
+واحد و خمسين، خلينا نكسر الرقم، 58 - 5
+
+508
+01:04:07,400 --> 01:04:13,340
+- 21 - 8 = 24، في
+
+509
+01:04:13,340 --> 01:04:20,780
+10⁻⁵ × 1400 تطلع
+
+510
+01:04:20,780 --> 01:04:27,540
+7140 N، 7140
+
+511
+01:04:27,540 --> 01:04:30,940
+N
+
+512
+01:04:35,350 --> 01:04:46,770
+متر، هذا الـ work per cycle، work per cycle، معناته
+
+513
+01:04:46,770 --> 01:04:54,010
+الـ T من الـ work per cycle بس
+
+514
+01:04:54,010 --> 01:04:58,410
+هو الـ T من في الـ θ، الـ θ عبارة عن كام؟
+
+515
+01:04:58,410 --> 01:05:08,200
+عبارة عن 4π، معناته الـ T هتكون = هو
+
+516
+01:05:08,200 --> 01:05:12,580
+7140 على
+
+517
+01:05:12,580 --> 01:05:31,300
+4π تطلع
+
+518
+01:05:31,300 --> 01:05:39,400
+568.5، 568.5
+
+519
+01:05:39,400 --> 01:05:42,520
+نيوتن متر
+
+520
+01:06:18,330 --> 01:06:23,450
+طبعاً أنا عندي الـ... الـ... عندي هذه قيمتها 5
+
+521
+01:06:23,450 --> 01:06:27,950
+فعشان رقم سالف 5، وهذه 21، فعشان رقم
+
+522
+01:06:27,950 --> 01:06:34,210
+سالف 5، والـ a هذه، كلها هذه الـ a كلها =
+
+523
+01:06:34,210 --> 01:06:42,110
+اللي هي 58، والـ a الرابعة اللي هي =
+
+524
+01:06:42,110 --> 01:06:44,970
+8، الـ net area
+
+525
+01:06:55,340 --> 01:07:02,480
+الـ net area هتكون
+
+526
+01:07:02,480 --> 01:07:09,440
+عندي 24، الـ net area 24، هذه
+
+527
+01:07:09,440 --> 01:07:14,880
+كلها 24 × 10⁻⁵ m
+
+528
+01:07:14,880 --> 01:07:17,380
+²، 24 × 10⁻⁵ m
+
+529
+01:07:17,380 --> 01:07:23,680
+²، مع أن الارتفاع هذا هيكون
+
+530
+01:07:23,680 --> 01:07:24,340
+كام؟
+
+531
+01:07:26,720 --> 01:07:33,320
+هسميه h، أنا تمين، إحنا
+
+532
+01:07:33,320 --> 01:07:37,920
+رادي، حسبنا تمين بواحدة النيوتن متر، هحسبها بواحدة
+
+533
+01:07:37,920 --> 01:07:49,520
+الـ... هحولها لطول، هذه
+
+534
+01:07:49,520 --> 01:07:54,120
+كلها 2، 4π، معناه أن هذا الارتفاع h، هسميه
+
+535
+01:07:55,090 --> 01:08:03,650
+أو الارتفاع H، أو خلينا نسميه GF، الارتفاع GF هيكون
+
+536
+01:08:03,650 --> 01:08:13,410
+= 24 × 10⁻⁵
+
+537
+01:08:13,410 --> 01:08:19,230
+على 4
+
+538
+01:08:19,230 --> 01:08:19,630
+π
+
+539
+01:08:23,690 --> 01:08:33,650
+اللي هو هذا GF، مساحة
+
+540
+01:08:33,650 --> 01:08:44,630
+المثلث اللي هي a₃، a₃، a₃ = ½
+
+541
+01:08:44,630 --> 01:08:50,130
+مثلث في هذه المسافة ×
+
+542
+01:08:57,140 --> 01:09:01,120
+× a g ×
+
+543
+01:09:01,120 --> 01:09:06,680
+a g، معناته
+
+544
+01:09:06,680 --> 01:09:17,080
+a g، وحسب a ثلاثه عندي اللي هي 58 × 10
+
+545
+01:09:17,080 --> 01:09:22,460
+⁻⁵ ×
+
+546
+01:09:22,460 --> 01:09:25,520
+2/π
+
+547
+01:09:31,620 --> 01:09:37,040
+يعني هتكون 170 ×
+
+548
+01:09:37,040 --> 01:09:44,600
+10⁻⁵/π، هذا الـ... هذا هيكون عندي
+
+549
+01:09:44,600 --> 01:09:50,360
+24/4، 24/4
+
+550
+01:09:50,360 --> 01:09:57,500
+= 6
+
+551
+01:09:57,500 --> 01:09:58,560
+.75
+
+552
+01:10:06,550 --> 01:10:20,970
+على π، معناته
+
+553
+01:10:20,970 --> 01:10:28,810
+أنا بدي طول AF، AF هيكون
+
+554
+01:10:28,810 --> 01:10:33,510
+= AG -
+
+555
+01:10:33,510 --> 01:10:34,450
+GF
+
+556
+01:10:36,860 --> 01:10:41,600
+الـ AG اللي هو 170 × 10⁻⁵
+
+557
+01:10:41,600 --> 01:10:50,800
+على π - GF = 6.75 × 10⁻⁵
+
+558
+01:10:50,800 --> 01:10:57,560
+على π، = 170 - 6
+
+559
+01:10:57,560 --> 01:10:58,420
+.75
+
+560
+01:11:05,960 --> 01:11:15,480
+= 157.25/
+
+561
+01:11:15,480 --> 01:11:19,060
+π =
+
+562
+01:11:19,060 --> 01:11:30,820
+الـ AF، الآن عند المثلثين ADE و ABC متشابهين، عند
+
+563
+01:11:30,820 --> 01:11:48,840
+المثلثين ADE و ABC Similar، معناه
+
+564
+01:11:48,840 --> 01:11:54,880
+نحكي DE/
+
+565
+01:11:54,880 --> 01:12:00,320
+BC = AF
+
+566
+01:12:03,290 --> 01:12:08,050
+على AG، يعني
+
+567
+01:12:08,050 --> 01:12:14,250
+الـ DE/
+
+568
+01:12:14,250 --> 01:12:20,850
+BC اللي هي π =
+
+569
+01:12:20,850 --> 01:12:24,270
+الـ AF اللي هو
+
+570
+01:12:31,250 --> 01:12:36,170
+اللي هو 157.25، والـ... والـ... والـ AJ اللي هو 170
+
+571
+01:12:36,170 --> 01:12:45,570
+أنا طبعاً حذفت الـ 10⁻⁵، والـ π على 170، معناته الـ DE
+
+572
+01:12:45,570 --> 01:12:49,070
+هتكون
+
+573
+01:12:49,070 --> 01:12:53,210
+= 157.25
+
+574
+01:12:56,970 --> 01:13:12,790
+= 0.925 π هذا الـ DE، معنها هو الـ fluctuation of
+
+575
+01:13:12,790 --> 01:13:16,050
+0.925
+
+576
+01:13:16,050 --> 01:13:21,470
+× π، هذا الـ DE، معنها هو الـ fluctuation of
+
+577
+01:13:21,470 --> 01:13:30,640
+energy ΔE، = ½ مساحة المثلث، ½ DE ×
+
+578
+01:13:30,640 --> 01:13:38,880
+AF، = ½ DE اللي هي 0.925
+
+579
+01:13:38,880 --> 01:13:45,020
+× π × AF، و AF اللي هو 157
+
+580
+01:13:45,020 --> 01:13:52,150
+.25، 157.25 ×
+
+581
+01:13:52,150 --> 01:13:58,910
+10⁻⁵/π، لحظة
+
+582
+01:13:58,910 --> 01:14:05,470
+π تروح مع π، طبعاً هذه الواحدة هتطلع بالمتر
+
+583
+01:14:05,470 --> 01:14:14,730
+²، هكون عندي ½ × ½ =
+
+584
+01:14:14,730 --> 01:14:16,190
+× 157.25
+
+585
+01:14:30,730 --> 01:14:40,850
+= 2.728 × 10⁻⁵ m²، عشان أحولها لنيوتن متر، هضربها × 72
+
+586
+01:14:40,850 --> 01:14:51,300
+.728 × 10⁻⁵، هضربها في 14 × 10⁶، هتستيقظ
+
+587
+01:14:51,300 --> 01:14:59,960
+بالنيوتن متر، في
+
+588
+01:14:59,960 --> 01:15:05,800
+14 ×
+
+589
+01:15:05,800 --> 01:15:10,800
+10⁶، تطلع
+
+590
+01:15:10,800 --> 01:15:20,440
+10128، 10128
+
+591
+01:15:20,440 --> 01:15:31,480
+نيوتن متر، ΔE = 10
+
+592
+01:15:31,480 --> 01:15:36,540
+128 نيوتن متر، أنا بأختار
+
+593
+01:15:36,540 --> 01:15:41,320
+طبعاً إنكم هتحلوا ورايا، أترجعوا وإذا في خطأ
+
+594
+01:15:41,320 --> 01:15:45,180
+الأرقام، عدلوها، الآن الـ ΔE
+
+595
+01:15:48,060 --> 01:15:58,940
+= Iω²CS، برضه
+
+596
+01:15:58,940 --> 01:16:15,140
+= I = MR²ω²CS، إحنا
+
+597
+01:16:15,140 --> 01:16:17,200
+بدنا الـ I، يعني الـ I
+
+598
+01:16:21,730 --> 01:16:28,610
+هتساوي ΔE، عندي 10128
+
+599
+01:16:28,610 --> 01:16:36,890
+على ω، حسبنا ω إحنا، ω اللي هي 10
+
+600
+01:16:36,890 --> 01:16:41,950
+.47،
+
+601
+01:16:41,950 --> 01:16:47,130
+CS اللي هي 0.4
+
+602
+01:16:53,490 --> 01:17:02,650
+هتطلع عند الـ I =
+
+603
+01:17:02,650 --> 01:17:18,030
+10128، تقسم، هتطلع
+
+604
+01:17:18,030 --> 01:17:22,070
+2322
+
+605
+01:17:26,180 --> 01:17:37,160
+kg m²، المطلوب
+
+606
+01:17:37,160 --> 01:17:47,200
+الثاني، المطلوب الثاني، المطلوب الثاني، المطلوب
+
+607
+01:17:47,200 --> 01:17:47,260
+الثاني
+
+608
+01:18:00,160 --> 01:18:09,860
+بنحسب الـ area، الـ cross sectional area، الـ
+
+609
+01:18:09,860 --> 01:18:19,680
+area، أو خلينا نحكي الـ I = MR²، والـ R
+
+610
+01:18:19,680 --> 01:18:26,480
+= D/2، يعني هتكون M D/2 الكل تربيع
+
+611
+01:18:26,480 --> 01:18:28,920
+يعني هتكون = M
+
+612
+01:18:31,650 --> 01:18:54,830
+D²/4، طيب
+
+613
+01:18:54,830 --> 01:19:00,690
+الـ area هتكون
+
+614
+01:19:06,350 --> 01:19:14,750
+M/πDρ، الآن في عندي missing كما أنا
+
+615
+01:19:14,750 --> 01:19:19,890
+أنا مش معروف عند الـ D، هذه المشكلة، بس بعطيهم الـ
+
+616
+01:19:19,890 --> 01:19:27,530
+σ، الـ σ = الـ σ = الـ
+
+617
+01:19:27,530 --> 01:19:33,400
+σ = الـ σ = الـ ρ، السجم =
+
+618
+01:19:33,400 --> 01:19:39,160
+ρωR²ω²، معناته الـ R² أو الـ R
+
+619
+01:19:39,160 --> 01:19:43,280
+²، الـ R هتكون
+
+620
+01:19:43,280 --> 01:19:54,260
+الجذر التربيعي لـ... لـ 1/ω، الجذر
+
+621
+01:19:54,260 --> 01:20:03,990
+التربيعي لـ σ/ρ، يعني هتكون ممكن أعمل الجذر
+
+622
+01:20:03,990 --> 01:20:09,770
+التربيعي لـ σ اللي هي 7.5 ميجا، 7.5
+
+623
+01:20:09,770 --> 01:20:17,190
+× 10⁶، ρ الكثافة اللي هي 8150،
+
+624
+01:20:17,190 --> 01:20:22,810
+في
+
+625
+01:20:22,810 --> 01:20:30,790
+الـ ω² اللي هي 10.47²
+
+626
+01:20:32,950 --> 01:20:41,630
+و إنّه بحسب الـ R، يعني
+
+627
+01:20:41,630 --> 01:20:46,570
+عندي
+
+628
+01:20:46,570 --> 01:20:55,590
+7.5 × 10⁶/ 7.5 ÷
+
+629
+01:20:55,590 --> 01:20:58,690
+8150
+
+630
+01:21:11,710 --> 01:21:16,470
+تطلع 2.897، الـ R تطلع 2
+
+631
+01:21:16,470 --> 01:21:20,590
+.8
+
+632
+01:21:20,590 --> 01:21:31,
\ No newline at end of file
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/wJiGIlXDENY_postprocess.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/wJiGIlXDENY_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..be59c2806b39062ce8b05d03aaa3e0ca254d0925
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/wJiGIlXDENY_postprocess.srt
@@ -0,0 +1,2640 @@
+1
+00:00:05,720 --> 00:00:08,580
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,580 --> 00:00:13,880
+وبركاته اليوم هنكمل في مادة نظرية الألات اللي هو
+
+3
+00:00:13,880 --> 00:00:17,440
+ال chapter المتعلق بال turning moment diagrams and
+
+4
+00:00:17,440 --> 00:00:22,620
+flywheels نعمل مراجعة سريعة للمحاضرة الفاتة
+
+5
+00:00:22,620 --> 00:00:24,900
+اتعرفنا ال turning moment diagram هو graphical
+
+6
+00:00:24,900 --> 00:00:27,800
+representation لل turning moment أو ال crank
+
+7
+00:00:27,800 --> 00:00:35,960
+effort at various crank anglesتفرجنا على العديد من
+
+8
+00:00:35,960 --> 00:00:38,860
+ال turning moment diagrams في الحلقة اللى شوفناها
+
+9
+00:00:38,860 --> 00:00:41,680
+السابقة ان هي turning moment diagram ل single
+
+10
+00:00:41,680 --> 00:00:46,040
+cylinder double acting steam engine حكينا ان ال
+
+11
+00:00:46,040 --> 00:00:50,600
+turning moment on the crankshaft ال T بيستوى في FP
+
+12
+00:00:50,600 --> 00:00:54,780
+في R في sin θ زي sin 2θ على 2 في N تربيه minus sin
+
+13
+00:00:54,780 --> 00:00:57,440
+تربيه ثتا و FP ال piston effort
+
+14
+00:01:01,860 --> 00:01:04,960
+حكيها لما يكون عندى ال .. ال .. ال .. ال .. ال
+
+15
+00:01:04,960 --> 00:01:08,260
+generated torque at the crank أعلى من ال .. ال
+
+16
+00:01:08,260 --> 00:01:14,340
+required torque أو ال .. ال load بنخزن الطاقة
+
+17
+00:01:14,340 --> 00:01:18,500
+للزيادة في ال .. على شكل طاقة حركة flywheel ففي
+
+18
+00:01:18,500 --> 00:01:23,070
+الحالة هاد الصورة ال flywheel بتتزيد .. بتزيدإذا
+
+19
+00:01:23,070 --> 00:01:27,050
+كانت الطاقة المنتجة من ال .. ال .. ال .. ال crank
+
+20
+00:01:27,050 --> 00:01:32,490
+أقل من ال required beam torque باخد العجز عندي في
+
+21
+00:01:32,490 --> 00:01:35,070
+الطاقة من ال flywheel وبالتالي سرعة ال flywheel
+
+22
+00:01:35,070 --> 00:01:36,630
+هتت ناقص
+
+23
+00:01:49,590 --> 00:01:53,530
+عرفنا اللى هو المعامل التذبذب فى الطاقة اللى هو ال
+
+24
+00:01:53,530 --> 00:01:55,750
+maximum fluctuation of energy ع ال work done per
+
+25
+00:01:55,750 --> 00:01:59,150
+cycle و ال work done per cycle بيستوى ال mean
+
+26
+00:01:59,150 --> 00:02:02,950
+torque فى ال .. ال .. ال theta .. ال theta اللى هى
+
+27
+00:02:02,950 --> 00:02:06,820
+ال angle turned in one revolution by the crankثيتا
+
+28
+00:02:06,820 --> 00:02:10,040
+بيستوى اتنين بايفي حالة steam engine او two stroke
+
+29
+00:02:10,040 --> 00:02:13,440
+internal combustion engine وثيتا بيستوى اربع بايفي
+
+30
+00:02:13,440 --> 00:02:16,880
+حالة four stroke internal combustion engine
+
+31
+00:02:16,880 --> 00:02:22,240
+التيمين بيستوى ال power على ال angular velocity او
+
+32
+00:02:22,240 --> 00:02:26,340
+بيستوى بيفس ال T لع تنين بايفي Nال work done per
+
+33
+00:02:26,340 --> 00:02:33,600
+cycle معادلة جامعة P فى ستين على N small بستوى
+
+34
+00:02:33,600 --> 00:02:36,440
+N capital فى حالة steam engine او two stroke
+
+35
+00:02:36,440 --> 00:02:40,200
+internal combustion engine او بستوى N capital على
+
+36
+00:02:40,200 --> 00:02:42,640
+تلين فى حالة four stroke internal combustion
+
+37
+00:02:42,640 --> 00:02:48,570
+engineالـ flywheel عرفناها هي كان جهاز لتخزين
+
+38
+00:02:48,570 --> 00:02:52,630
+الطاقة على شكل طاقة ميكانيكية في مرحلة في .. يعني
+
+39
+00:02:52,630 --> 00:02:56,050
+بتخزن الطاقة لما نكون عندنا access of energy جاية
+
+40
+00:02:56,050 --> 00:03:01,090
+من ال crank بخزن الطاقة لزيادة فسرعتها أيش بالزيد
+
+41
+00:03:01,090 --> 00:03:03,670
+و في حالة في عندي عاجز في الطاقة باخد هذه الطاقة
+
+42
+00:03:03,670 --> 00:03:06,650
+من ال flywheel و فتالة سرعتها هتنقص ال flywheel
+
+43
+00:03:11,070 --> 00:03:14,370
+ال governor عرفناه اللي هو في ال .. ال governor
+
+44
+00:03:14,370 --> 00:03:19,290
+بيعمل تنظيم لسرعة ال engine لما نكون عنده ال load
+
+45
+00:03:19,290 --> 00:03:26,450
+متغيرة، إذا ال load بزيد محتاج أعطي وقود أكتر عشان
+
+46
+00:03:26,450 --> 00:03:30,850
+أحافظ على السرعة، إذا ال load بنزل محتاج أخفف كمية
+
+47
+00:03:30,850 --> 00:03:34,150
+الوقود تصل ال engine عشان .. عشان أحافظ على نفس
+
+48
+00:03:34,150 --> 00:03:39,900
+السرعةعرفنا اللى هو المعامل التذبد في السرعة
+
+49
+00:03:39,900 --> 00:03:44,100
+بالساوية اللى هو الفرق بين ال maximum speed و ال
+
+50
+00:03:44,100 --> 00:03:46,760
+minimum speed على ال average أو ال main speed
+
+51
+00:03:46,760 --> 00:03:50,040
+معامل
+
+52
+00:03:50,040 --> 00:03:53,560
+الثبات هو واحد على معامل التذبد في السرعة ال Cm
+
+53
+00:03:53,560 --> 00:03:54,660
+بالساوية واحدة على ال CS
+
+54
+00:03:59,350 --> 00:04:04,530
+ال energy stored in a flywheel او او التغير delta
+
+55
+00:04:04,530 --> 00:04:09,330
+E الفرق الفرق بين ال maximum ال maximum kinetic
+
+56
+00:04:09,330 --> 00:04:11,950
+energy و ال minor kinetic energy delta E مرتبط
+
+57
+00:04:11,950 --> 00:04:17,130
+علاقة I Omega Square في CS او MK Square Omega
+
+58
+00:04:17,130 --> 00:04:22,470
+Square في CS او 2E في CS حاليا مجموعة من ال
+
+59
+00:04:22,470 --> 00:04:22,870
+examples
+
+60
+00:04:30,200 --> 00:04:33,900
+الان هنشوف كيف نعمل design و dimensioning ل ال
+
+61
+00:04:33,900 --> 00:04:38,520
+flywheel انا
+
+62
+00:04:38,520 --> 00:04:43,460
+عندى هنا انبين فى الصورة انبين فى الصورة عندى ال
+
+63
+00:04:43,460 --> 00:04:50,580
+flywheel عندى ال R small ال R small هو ال mean rim
+
+64
+00:04:50,580 --> 00:04:56,870
+radius ال mean radius of the rimوالدائرة الحمرة
+
+65
+00:04:56,870 --> 00:05:02,110
+المنقطة هذه قطرها هو قطر الريم ال main diameter of
+
+66
+00:05:02,110 --> 00:05:07,650
+the rim المقطع لو أخدت مقطع عمودي على الصفحه هيكون
+
+67
+00:05:07,650 --> 00:05:11,530
+له thickness T وبعد تالت عمودي على الصفحه اللي هو
+
+68
+00:05:11,530 --> 00:05:15,390
+B يعني هيكون مقطع له بعدين B اللي هو البعد التالت
+
+69
+00:05:15,390 --> 00:05:22,050
+وT اللي هي thickness بتاعة الريمال raw هي الكثافة
+
+70
+00:05:22,050 --> 00:05:24,550
+لل rim material لأنها ممكن تكون cast ايرون ممكن
+
+71
+00:05:24,550 --> 00:05:30,110
+تكون ستيل ال N ال N اللي هي speed ال main speed of
+
+72
+00:05:30,110 --> 00:05:34,350
+a flywheel بوحدة ال RPM ال Omega اللي هي ال main
+
+73
+00:05:34,350 --> 00:05:37,330
+speed of the flywheel بوحدة ال radians per second
+
+74
+00:05:37,330 --> 00:05:41,190
+ال V اللي ينافلوستي قدمين radians ال V هتكون سواء
+
+75
+00:05:41,190 --> 00:05:47,610
+R كابيتال في Omega بتكون مماسة لزاوية لدائرة ال
+
+76
+00:05:47,610 --> 00:05:54,880
+main circle لل rimالصج السيجما هي hoop stress due
+
+77
+00:05:54,880 --> 00:05:59,680
+to centrifugal force وهى الدور الرم هستير قوة طرد
+
+78
+00:05:59,680 --> 00:06:04,120
+مركزى تعمل hoop stress بتحاول هنا يعني بتحاول تشد
+
+79
+00:06:04,120 --> 00:06:08,180
+او تفسخ ال .. ال .. ال .. ال .. المنطقة هذه ال due
+
+80
+00:06:08,180 --> 00:06:12,340
+to internal tensile stress عشان احسب ال internal
+
+81
+00:06:12,340 --> 00:06:19,010
+tensile stress السيجماباخد stress باخد element هاي
+
+82
+00:06:19,010 --> 00:06:25,210
+element هذي زي ال theta و هذي ال delta الثيتا الآن
+
+83
+00:06:25,210 --> 00:06:27,810
+ال element هذا إيه الكتلة؟ معناه تحكوا عليه قوة
+
+84
+00:06:27,810 --> 00:06:37,610
+طرد مركزي قوة طرد مركزي عند
+
+85
+00:06:37,610 --> 00:06:41,250
+هاي ال element تحكوا عليه هذا هو ال element تبعي
+
+86
+00:06:55,780 --> 00:07:00,880
+هتكون عليه قوة طرد مركزي differential force F
+
+87
+00:07:00,880 --> 00:07:09,640
+للخارج ال DF بالساوية
+
+88
+00:07:09,640 --> 00:07:20,960
+اللي هي A normal في DM وال A normal عبارة عن omega
+
+89
+00:07:20,960 --> 00:07:21,560
+square
+
+90
+00:07:31,240 --> 00:07:35,780
+الان ال DM هذا
+
+91
+00:07:35,780 --> 00:07:39,520
+الطول ال
+
+92
+00:07:39,520 --> 00:07:46,380
+DM هتكون ساوى DM
+
+93
+00:07:46,380 --> 00:07:53,800
+رو فدي ال volume بتاع ال elementهو الكثافة و دي ال
+
+94
+00:07:53,800 --> 00:08:03,160
+volume بتاع ال element رو ال DV ال
+
+95
+00:08:03,160 --> 00:08:15,660
+DV عبارة عن مساحة المقطع اللي هي هتكون R D theta
+
+96
+00:08:24,480 --> 00:08:30,560
+ر دي ثيتا في ال
+
+97
+00:08:30,560 --> 00:08:36,440
+A ال
+
+98
+00:08:36,440 --> 00:08:47,420
+A هتكون رو ر اي دي ثيتا لو بنعوضها مثلا ال DF
+
+99
+00:08:51,160 --> 00:09:10,900
+بساوية omega square R DM رو ار اي دي ثتا رو
+
+100
+00:09:10,900 --> 00:09:15,060
+اي دي ثتا رو اي دي ثتا رو اي دي ثتا
+
+101
+00:09:19,930 --> 00:09:26,890
+لو حللت لمركبتين دي اف
+
+102
+00:09:26,890 --> 00:09:40,350
+اد زاوية ثيتا cosine ثيتا عندي هنا دي اف sin ثيتا
+
+103
+00:09:43,740 --> 00:09:49,800
+المراكبة Df sin θ هي اللى بتحاول تعمل stress هو ب
+
+104
+00:09:49,800 --> 00:09:54,760
+stress على المقطع يعنى
+
+105
+00:09:54,760 --> 00:10:01,280
+فانا
+
+106
+00:10:01,280 --> 00:10:13,240
+بهمن ال Df sin θ هتساوي omega squareR² Rho A Sine
+
+107
+00:10:13,240 --> 00:10:20,380
+Theta D Theta ال
+
+108
+00:10:20,380 --> 00:10:27,040
+total vertical upward force ال F upward هكون تكامل
+
+109
+00:10:27,040 --> 00:10:37,280
+D F D F Sine Theta من 0 ل 2 من 0 ل Pi يعني هتكون
+
+110
+00:10:38,010 --> 00:10:44,370
+تكامل من zero ل by نعود عن df sin θ omega square r
+
+111
+00:10:44,370 --> 00:10:52,470
+square rho a sin θ d θ هاخد طبعا omega square راح
+
+112
+00:10:52,470 --> 00:10:58,790
+تطلع بره الانتيجرال omega square r square rho a
+
+113
+00:10:58,790 --> 00:11:06,770
+تكامل sin θ d θ اللي هي عبارة عن minus cosine θمن
+
+114
+00:11:06,770 --> 00:11:12,610
+السفر لل باى هتساوي omega square minus omega
+
+115
+00:11:12,610 --> 00:11:23,910
+square r square rho a في cosine ال by minus
+
+116
+00:11:23,910 --> 00:11:29,190
+cosine ال zero cosine ال by واحد يعني هيكون minus
+
+117
+00:11:29,190 --> 00:11:34,090
+واحد minus واحد بيصير minus اتنين في minus بيصير
+
+118
+00:11:34,090 --> 00:11:45,920
+اتنينأتنين Omega Square R Square رو في A هاد ال
+
+119
+00:11:45,920 --> 00:11:53,500
+upward force ال stress سيجما حيساو
+
+120
+00:11:53,500 --> 00:12:00,720
+الأف upwards على ال area اللي حصير عندها stress لو
+
+121
+00:12:00,720 --> 00:12:10,090
+حيساو اتنينوميجا سكوار رو سكوار رو ا على اتنين ال
+
+122
+00:12:10,090 --> 00:12:17,370
+a هتكون على اتنين ال a يعني
+
+123
+00:12:17,370 --> 00:12:22,030
+هيروح عند ا مع ا و اتنين مع اتنين بيصير عندى
+
+124
+00:12:22,030 --> 00:12:26,310
+اوميجا سكوار ر سكوار رو
+
+125
+00:12:37,620 --> 00:12:42,360
+اللي هي ال stress ال hoop stress عند مقطع ال
+
+126
+00:12:42,360 --> 00:12:50,660
+flywheel ال mass ال mass هان ال
+
+127
+00:12:50,660 --> 00:12:57,380
+mass لو عملت integral هان ده من zero ل باي ال
+
+128
+00:12:57,380 --> 00:13:05,360
+mass هتكون المحيط بتاعة ال rim circle باي في دي
+
+129
+00:13:08,160 --> 00:13:16,020
+في مساحة المقطع في الكثافة يعني ال area هتكون
+
+130
+00:13:16,020 --> 00:13:27,900
+تساوي M على باى M على باى D M على
+
+131
+00:13:27,900 --> 00:13:31,240
+باى D R
+
+132
+00:13:35,740 --> 00:13:40,240
+معنى ان انا عندي معدلتين determined determining او
+
+133
+00:13:40,240 --> 00:13:43,920
+ممكن اسمه loss sizing لل .. لل flow اللي هي sigma
+
+134
+00:13:43,920 --> 00:13:48,980
+بالساوية رو ر رو ر رو ر رو رو رو رو رو رو رو رو رو
+
+135
+00:13:48,980 --> 00:13:49,720
+رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو
+
+136
+00:13:49,720 --> 00:13:50,020
+رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو
+
+137
+00:13:50,020 --> 00:13:50,040
+رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو
+
+138
+00:13:50,040 --> 00:13:50,060
+رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو
+
+139
+00:13:50,060 --> 00:13:53,620
+رو رو رو رو رو رو رو رو رو رو
+
+140
+00:13:53,620 --> 00:13:59,880
+رو
+
+141
+00:14:12,760 --> 00:14:15,620
+Turning moment diagram for a multi-cylinder engine
+
+142
+00:14:15,620 --> 00:14:19,600
+has been drawn to a scale of one millimetre.عند
+
+143
+00:14:19,600 --> 00:14:22,960
+التاني moment diagram اللي هو هذا.هذا عند multi
+
+144
+00:14:22,960 --> 00:14:25,780
+-cylinder engine وهذا التاني moment diagram تبعه
+
+145
+00:14:25,780 --> 00:14:33,360
+مرسوم ل scale كل واحد millimetre على ال .. على ال
+
+146
+00:14:33,360 --> 00:14:38,460
+.. ال .. ال .. ال moment axis واحد millimetre
+
+147
+00:14:38,460 --> 00:14:49,710
+equivalent لخمسين نيوتن متر وعلى ال X-axis واحد
+
+148
+00:14:49,710 --> 00:14:58,470
+ملي متر equivalent لل six degrees of the crank
+
+149
+00:14:58,470 --> 00:15:05,590
+angle ال engine is running at eight hundred rpm ال
+
+150
+00:15:05,590 --> 00:15:12,460
+N بتاعة ال engine تمانمية RPMيعني الامج هتكون
+
+151
+00:15:12,460 --> 00:15:22,960
+ساوية تمانية في اتنين باي على ستين يعني
+
+152
+00:15:22,960 --> 00:15:34,420
+هتكون تساوية تمانين باي على تلاتة رديان لكل second
+
+153
+00:15:37,730 --> 00:15:40,410
+The engine has a stroke of three hundred
+
+154
+00:15:40,410 --> 00:15:45,630
+millimeters الستروك بتاعة ال engine تلتمية
+
+155
+00:15:45,630 --> 00:15:49,670
+مليمتر
+
+156
+00:15:49,670 --> 00:15:54,850
+and fluctuation of speed is not to exceed plus or
+
+157
+00:15:54,850 --> 00:15:59,370
+minus two percent of the mean speed معناه تبعطيني
+
+158
+00:15:59,370 --> 00:16:06,490
+معامل التدبد في السرعة CS بالساوة اتنين في bond O
+
+159
+00:16:06,490 --> 00:16:14,660
+twoبسوا point O أربعة هذا ال CS determine a
+
+160
+00:16:14,660 --> 00:16:22,000
+suitable diameter أوجد قطر مناسب دي capital للي
+
+161
+00:16:22,000 --> 00:16:27,600
+flywheel and cross section flywheel rim والي cross
+
+162
+00:16:27,600 --> 00:16:34,980
+section نية للي flywheelfor a limiting value of
+
+163
+00:16:34,980 --> 00:16:38,660
+safe centrial stress limiting value sigma عندي
+
+164
+00:16:38,660 --> 00:16:47,340
+المسموح فيها أو ال maximum سبعة ميجا بسكال the
+
+165
+00:16:47,340 --> 00:16:50,360
+material density may be assumed معتنق ال density
+
+166
+00:16:50,360 --> 00:16:54,960
+لسبعة
+
+167
+00:16:54,960 --> 00:17:04,900
+تلاف و متين كيلو جرام على المتر المكعبthe width of
+
+168
+00:17:04,900 --> 00:17:08,400
+the rim is
+
+169
+00:17:08,400 --> 00:17:11,760
+to be five times the thickness ال B بتاع ال rim
+
+170
+00:17:11,760 --> 00:17:18,700
+خمسة خمس مرات ال thickness بده
+
+171
+00:17:18,700 --> 00:17:24,080
+ال D و ال A طبعا
+
+172
+00:17:24,080 --> 00:17:31,540
+انا خليني نرجع نرجع جوا عشان
+
+173
+00:17:31,540 --> 00:17:32,380
+احسب ال
+
+174
+00:17:37,130 --> 00:17:42,330
+عشان احسب ال A عشان
+
+175
+00:17:42,330 --> 00:17:47,590
+احسب ال cross section عشان
+
+176
+00:17:47,590 --> 00:17:55,450
+احسب ال A ال A بيش سوى ايش M على
+
+177
+00:17:55,450 --> 00:18:02,710
+Y D R طب انا بعرف بعرش M ولا بعرف D بعرف R بس
+
+178
+00:18:02,710 --> 00:18:12,500
+المعنى هو لازم احسب ايشأحسب ال R لأن عشان أحسب ال
+
+179
+00:18:12,500 --> 00:18:21,360
+R ممكن نهدي المعادلة سيجما سيجما بالساوية
+
+180
+00:18:21,360 --> 00:18:27,220
+رو R Square Omega Square
+
+181
+00:18:30,980 --> 00:18:36,020
+معناته انا معروف عندي ال sigma معروف عندي ال raw
+
+182
+00:18:36,020 --> 00:18:41,200
+معروف عندي ال R ممكن نحسبه ال R معناته ال R هتكون
+
+183
+00:18:41,200 --> 00:18:52,000
+تساوي sigma على raw omega square تحت الجدر هتساوي
+
+184
+00:18:52,000 --> 00:18:56,040
+ال sigma عندي السابعة ماجي بسكالي هتكون الجدر
+
+185
+00:18:56,040 --> 00:19:01,520
+التربيهيلسبعة في عشرة اقل ستة عشان احولي على
+
+186
+00:19:01,520 --> 00:19:08,660
+باسكال على ال row سبعتلاف و متين و ال omega اللي
+
+187
+00:19:08,660 --> 00:19:20,140
+هي عنده تمانين باي على تلاتة تمانين باي على تلاتة
+
+188
+00:19:20,140 --> 00:19:25,800
+لكل تربية و منها بحسب ال R
+
+189
+00:19:39,210 --> 00:19:46,770
+يعني الانبعاد الـ R سبعة في عشر أقل ستة
+
+190
+00:19:46,770 --> 00:19:52,990
+على تين
+
+191
+00:19:52,990 --> 00:19:57,190
+على
+
+192
+00:19:57,190 --> 00:19:57,590
+باي
+
+193
+00:20:14,940 --> 00:20:25,260
+على باقص نص
+
+194
+00:20:49,190 --> 00:20:57,870
+كمان مرة اتأكد الحسبة عند السبعة في عشر او ستة على
+
+195
+00:20:57,870 --> 00:20:59,310
+سبعة تلاف و متين
+
+196
+00:21:25,230 --> 00:21:33,530
+تطلع point تلاتة سبعة اتنين متر تطلع ال R point
+
+197
+00:21:33,530 --> 00:21:40,610
+تلاتة سبعة اتنين متر معناة ال D هتكون اتساوة اتنين
+
+198
+00:21:40,610 --> 00:21:51,810
+R اللي هتكون point تلاتة سبعة اتنين في تطلع
+
+199
+00:21:51,810 --> 00:21:52,750
+point سبعة اربعة
+
+200
+00:21:59,910 --> 00:22:05,050
+الان صارت دي معروفة عندى الان محتاج اعرف ال M
+
+201
+00:22:05,050 --> 00:22:13,210
+محتاج اعرف ال M ال M عشان اعرفها محتاج معدلات
+
+202
+00:22:13,210 --> 00:22:21,550
+تانية اذا فاكرين نرجع
+
+203
+00:22:21,550 --> 00:22:28,010
+جوا في ال slides نرجع
+
+204
+00:22:28,010 --> 00:22:28,410
+جوا
+
+205
+00:22:34,230 --> 00:22:39,710
+الـ Delta E ال Delta ممكن نستخدم معدلة Delta E
+
+206
+00:22:39,710 --> 00:22:44,230
+بتساوي
+
+207
+00:22:44,230 --> 00:22:48,010
+M
+
+208
+00:22:48,010 --> 00:22:57,290
+K تربية Omega تربية في
+
+209
+00:22:57,290 --> 00:22:57,930
+CS
+
+210
+00:23:06,210 --> 00:23:31,790
+معطين ال CS نرجع للمثال اه
+
+211
+00:23:31,790 --> 00:23:39,770
+ال K تقريبابساوي ال R يعني ال Delta E هتكون تساوي
+
+212
+00:23:39,770 --> 00:23:50,730
+MR تربيع Omega تربيع CS معناته ال M هتكون تساوي
+
+213
+00:23:50,730 --> 00:24:01,910
+Delta E على R Square Omega Square CSالـ R المعروفة
+
+214
+00:24:01,910 --> 00:24:04,830
+والـ C اسمها وضعي اللي بدى يحسب دلتا ايه الدلتا
+
+215
+00:24:04,830 --> 00:24:10,810
+ايه المهم بحسبها من ال turning moment diagram
+
+216
+00:24:29,780 --> 00:24:36,060
+لازم اعرف ال maximum moment وين فهعمل جدول هعمل
+
+217
+00:24:36,060 --> 00:24:46,380
+جدول احكي ال point و
+
+218
+00:24:46,380 --> 00:24:54,140
+ال energy و ال E انا
+
+219
+00:24:54,140 --> 00:24:55,240
+هبدأ من عند A
+
+220
+00:24:59,520 --> 00:25:07,960
+ABCDEFGHKL من هنا نقطة A and
+
+221
+00:25:07,960 --> 00:25:12,540
+A كانت ده فرض ال energy انها E بالساوية and B
+
+222
+00:25:12,540 --> 00:25:22,040
+هتكون E ناقص تلاتين E ناقص
+
+223
+00:25:22,040 --> 00:25:39,120
+تلاتين and CE-30 E-30 E-40 E-40 E-30 E-40 E-40 E
+
+224
+00:25:39,120 --> 00:25:39,620
+-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E
+
+225
+00:25:39,620 --> 00:25:39,760
+-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E
+
+226
+00:25:39,760 --> 00:25:41,560
+-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E
+
+227
+00:25:41,560 --> 00:25:44,560
+-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E
+
+228
+00:25:44,560 --> 00:25:44,800
+-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E
+
+229
+00:25:44,800 --> 00:25:49,500
+-40 E-40 E-40 E-40 E-40 E
+
+230
+00:25:49,500 --> 00:25:54,920
+-40 E-40
+
+231
+00:25:54,920 --> 00:26:01,210
+E-عند D هتكون
+
+232
+00:26:01,210 --> 00:26:08,930
+ال E عند C ناقص 280 يعني هتكون E زائد 380 ناقص 280
+
+233
+00:26:08,930 --> 00:26:19,170
+يعني E زائد 100 عند E E زائد 100 عند E هتكون
+
+234
+00:26:19,170 --> 00:26:27,420
+ال energy عند D زائد 320 يعني هتكون Eزائد أربعمية
+
+235
+00:26:27,420 --> 00:26:32,280
+و عشرين and
+
+236
+00:26:32,280 --> 00:26:38,020
+if هتكون
+
+237
+00:26:38,020 --> 00:26:43,700
+هتطرح اللي هتكون E زائد أربعمية و عشرين ناقص
+
+238
+00:26:43,700 --> 00:26:52,300
+تلتمية و تلتين يعني هتكون E زائد تسعين and
+
+239
+00:26:52,300 --> 00:26:52,740
+G
+
+240
+00:26:58,530 --> 00:27:02,970
+هتكون E زائد تسعين زائد متين وخمسين يعني E زائد
+
+241
+00:27:02,970 --> 00:27:13,150
+تلاتمية واربعين E زائد تلاتمية واربعين عند
+
+242
+00:27:13,150 --> 00:27:17,330
+H هترح
+
+243
+00:27:17,330 --> 00:27:23,710
+منها تلاتمية وستين هتصير E ناقص عشرين
+
+244
+00:27:26,370 --> 00:27:33,390
+عند K هضيف عليها 280 عند K هضيف عليها 280 هصير E
+
+245
+00:27:33,390 --> 00:27:47,190
+زائد 260 عند L هطرح 260 هتكون تساوي E طيب
+
+246
+00:27:47,190 --> 00:27:53,830
+واضح وين ال maximum في عندي هنا ال B is minimum
+
+247
+00:28:01,200 --> 00:28:05,580
+هذه ايه minimum و
+
+248
+00:28:05,580 --> 00:28:15,680
+maximum and ايه هذه
+
+249
+00:28:15,680 --> 00:28:24,700
+ايه max اما
+
+250
+00:28:24,700 --> 00:28:32,910
+انا اتوحك دلتا ايه هتكون اذا ايه maxminus E
+
+251
+00:28:32,910 --> 00:28:44,850
+minimum هتساوي اللي هي E زاد 420 minus
+
+252
+00:28:44,850 --> 00:28:53,350
+E ناقص تلاتين
+
+253
+00:28:53,350 --> 00:28:58,250
+يعني هتكون تساوي 450
+
+254
+00:29:01,570 --> 00:29:07,790
+ملي متر تربيع الان نرجع هنا في ال scale بتاعنا
+
+255
+00:29:07,790 --> 00:29:14,010
+هحولها لوحدات طاقة هذه لوحدات ملي متر الواحد ملي
+
+256
+00:29:14,010 --> 00:29:18,830
+متر square يعادل
+
+257
+00:29:18,830 --> 00:29:29,080
+خمسمية نيوتن متر في ست درجاتيعني هضرب الدرجة ده و
+
+258
+00:29:29,080 --> 00:29:39,220
+احولها ال radians يعني هحولها في Y على 180 انا
+
+259
+00:29:39,220 --> 00:29:46,840
+عندي 450 يعني عند 450 هتكون
+
+260
+00:29:46,840 --> 00:29:51,020
+equivalent ل450 في الرقم هذا يعني هصير عندي ال
+
+261
+00:29:51,020 --> 00:29:55,140
+delta E هتكون
+
+262
+00:29:55,140 --> 00:30:08,060
+تساوي450 في خمسمية في ستة في باى على مية و تمانين
+
+263
+00:30:08,060 --> 00:30:13,600
+النيوتن
+
+264
+00:30:13,600 --> 00:30:19,960
+متر هتكون 450 في خمسمية
+
+265
+00:30:22,390 --> 00:30:31,690
+في ستة في باع تقسيم مية و تمانين تطلع تلاتة و
+
+266
+00:30:31,690 --> 00:30:37,710
+عشرين ألف و خمسمية و خمسين تلاتة و عشرين ألف و
+
+267
+00:30:37,710 --> 00:30:41,910
+خمسمية و خمسين نيوتن متر
+
+268
+00:30:45,680 --> 00:30:48,160
+معناته خلص Delta E صارت معروف والـ R معروف حسينا
+
+269
+00:30:48,160 --> 00:30:51,180
+ان ال .. ال .. ال .. ال .. ال mass Delta E اللي هي
+
+270
+00:30:51,180 --> 00:30:59,100
+تلاتة عشرين ألف وخمسمية وخمسين على ال R اللي هي R
+
+271
+00:30:59,100 --> 00:31:06,120
+square point تلاتة سبعة اتنين تربيع في ال Omega
+
+272
+00:31:06,120 --> 00:31:15,860
+square اللي هي تمانين by ع تلاتة لكل تربيعفى ال CS
+
+273
+00:31:15,860 --> 00:31:24,620
+تحت في المقام اللى هى point O أربعة منها
+
+274
+00:31:24,620 --> 00:31:31,580
+بحسب إيش ال mass هتطلع تقسيم
+
+275
+00:31:31,580 --> 00:31:33,900
+point تلاتة سبعة
+
+276
+00:32:11,330 --> 00:32:19,970
+بتطلع ستمية و سبعة كيلو جرام ال
+
+277
+00:32:19,970 --> 00:32:23,870
+mass الانصار
+
+278
+00:32:23,870 --> 00:32:27,490
+معروف عندي لما انا ممكن احسب ال area ال area بتاعة
+
+279
+00:32:27,490 --> 00:32:37,870
+المقطع بيساوي M على by D for all ال M عندي ستمية و
+
+280
+00:32:37,870 --> 00:32:51,580
+سبعةعلى ال buy ال دي اللي هي point 744 euro
+
+281
+00:32:51,580 --> 00:33:06,760
+معطينيها سبعتلاف و متين يعني
+
+282
+00:33:06,760 --> 00:33:22,640
+انا هكون لسه اتنية و سبعةتقسيم by بتطلع
+
+283
+00:33:22,640 --> 00:33:33,840
+point o تلاتة ستة point o تلاتة ستة متر مربع طيب
+
+284
+00:33:33,840 --> 00:33:37,920
+ال area بتساوي
+
+285
+00:33:40,400 --> 00:33:45,100
+بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت
+
+286
+00:33:45,100 --> 00:33:49,500
+بفت بفت بفت بفت بفت بفت بفت بفت
+
+287
+00:33:49,500 --> 00:33:51,240
+بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت
+
+288
+00:33:51,240 --> 00:33:51,920
+بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت
+
+289
+00:33:51,920 --> 00:33:54,100
+بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت
+
+290
+00:33:54,100 --> 00:33:55,620
+بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت
+
+291
+00:33:55,620 --> 00:34:05,240
+بفت بفت بفت بفت بفت بفت
+
+292
+00:34:05,240 --> 00:34:08,460
+بف
+
+293
+00:34:21,160 --> 00:34:32,960
+و منها بحسب ال T اللي هتكون point O تقسيم
+
+294
+00:34:32,960 --> 00:34:45,480
+خمسة تحت الجدر تطلع point O تمانية خمسة متر تطلع T
+
+295
+00:34:45,480 --> 00:34:56,210
+بالساعة point Oتمانية خمسة متر يعني في ال
+
+296
+00:34:56,210 --> 00:35:01,390
+millimeter حضره في الف هتكون خمس تمانين millimeter
+
+297
+00:35:01,390 --> 00:35:08,190
+و ال B هتكون خمسة في خمس تمانين خمسة في خمسة بخمسة
+
+298
+00:35:08,190 --> 00:35:14,670
+و عشرين خمسة في تمانية باتنين و أربعين millimeter
+
+299
+00:35:19,840 --> 00:35:23,120
+هك احنا عملنا design flywheel جيبنا كل مقاساتها
+
+300
+00:35:23,120 --> 00:35:30,200
+بناء على المعلومات المتاحة عنها طيب
+
+301
+00:35:30,200 --> 00:35:31,860
+انحل مثال تاني
+
+302
+00:36:17,750 --> 00:36:22,010
+الحلو مثال تاني عندي
+
+303
+00:36:22,010 --> 00:36:26,870
+a single cylinder double acting steam engine يعني
+
+304
+00:36:26,870 --> 00:36:35,350
+single خلال خصة single cylinder double
+
+305
+00:36:35,350 --> 00:36:42,690
+acting steam engine single cylinder double acting
+
+306
+00:36:42,690 --> 00:36:48,230
+steam enginedevelops مية و خمسين كيلو وات يعني ال
+
+307
+00:36:48,230 --> 00:36:56,630
+power بتاعته بالسواء مية و خمسين كيلو وات at a
+
+308
+00:36:56,630 --> 00:37:11,950
+mean speed الان بالسواء تمانين by تمانين rpm يعني
+
+309
+00:37:11,950 --> 00:37:18,570
+ال omega هتكون تمانينفى اتنين باى ع ستين يعني
+
+310
+00:37:18,570 --> 00:37:24,230
+هتساوى
+
+311
+00:37:24,230 --> 00:37:32,970
+هتساوى
+
+312
+00:37:32,970 --> 00:37:45,660
+تمانية point تلاتة سبعة تلاتة radian كل secondthe
+
+313
+00:37:45,660 --> 00:37:49,020
+coefficient of fluctuation of energy معامل التذبذب
+
+314
+00:37:49,020 --> 00:37:53,500
+في الطاقة CE بتساوي
+
+315
+00:37:53,500 --> 00:37:57,940
+point one and
+
+316
+00:37:57,940 --> 00:38:00,980
+fluctuation of speed is plus or minus two percent
+
+317
+00:38:00,980 --> 00:38:06,180
+of the mean speed بيعني ال CS هيكون سوى اتنين في
+
+318
+00:38:06,180 --> 00:38:09,220
+point O اتنين هيسوى point O اربعة
+
+319
+00:38:13,410 --> 00:38:17,130
+if the main diameter of the flywheel rim is two
+
+320
+00:38:17,130 --> 00:38:21,330
+meters and
+
+321
+00:38:21,330 --> 00:38:25,290
+the
+
+322
+00:38:25,290 --> 00:38:30,590
+hub and spokes provide أنا عندي ال flywheel بتكون
+
+323
+00:38:30,590 --> 00:38:37,750
+زي هيك شكلها في عندى في النصو في عند ال hub ال rim
+
+324
+00:38:37,750 --> 00:38:54,070
+الخارجي و في ال spokes بتاعتها هذه ال spokes the
+
+325
+00:38:54,070 --> 00:38:57,130
+hub and spokes provide 5% of the rotational
+
+326
+00:38:57,130 --> 00:39:04,070
+inertia of the flywheel يعني ال I الكليةهتكون ال I
+
+327
+00:39:04,070 --> 00:39:08,590
+تاعة ال Hub و
+
+328
+00:39:08,590 --> 00:39:21,290
+ال Spokes زاد ال I تاعة ال Rim ال
+
+329
+00:39:21,290 --> 00:39:25,510
+I تاعة ال Hub معطينة
+
+330
+00:39:25,510 --> 00:39:31,450
+بالساوية point O خمسة من ال I الكلية
+
+331
+00:39:33,940 --> 00:39:42,120
+معناته I تاعت ال rim لسه point O point 9 5 من ال I
+
+332
+00:39:42,120 --> 00:39:46,920
+الكلية لل flywheel find
+
+333
+00:39:46,920 --> 00:39:55,120
+the mass بده ال mass and
+
+334
+00:39:55,120 --> 00:39:58,480
+the cross sectional area of the flywheel rim هو
+
+335
+00:39:58,480 --> 00:40:01,720
+مقطع ال flywheel rim ال A
+
+336
+00:40:08,300 --> 00:40:11,660
+assume density of the flywheel material cast iron
+
+337
+00:40:11,660 --> 00:40:16,300
+الدينسيته للمصنوع من الcast iron الدينسيته هتكون
+
+338
+00:40:16,300 --> 00:40:22,940
+سبتمبر متين كيلو جرام على المتر المكعب
+
+339
+00:40:44,830 --> 00:40:50,270
+طيب بده ال I معطيني ال coefficient of fluctuation
+
+340
+00:40:50,270 --> 00:40:59,890
+of ال CE ال CE ايه شو يساوي؟ ال CE بيساوي delta E
+
+341
+00:40:59,890 --> 00:41:04,230
+على E نرجع لها .. نرجع رجوع .. نرجع للمعدلات
+
+342
+00:41:23,640 --> 00:41:31,060
+الـ CE بتساوي
+
+343
+00:41:31,060 --> 00:41:35,480
+ال maximum fluctuation of energy يعني ال maximum
+
+344
+00:41:35,480 --> 00:41:43,360
+delta E على ال work done per cycle
+
+345
+00:41:54,090 --> 00:42:05,770
+و ال CS بيستوى N واحد minus N اتنين على N مابدنياش
+
+346
+00:42:05,770 --> 00:42:12,570
+الماس و ال Delta E انا بحاول احطلكم عشان نستكشف
+
+347
+00:42:12,570 --> 00:42:17,570
+الحل Delta E بيستوى
+
+348
+00:42:17,570 --> 00:42:21,190
+Delta
+
+349
+00:42:21,190 --> 00:42:21,510
+E
+
+350
+00:42:25,390 --> 00:42:42,130
+Delta A بيساوي M K Square Omega Square CS و
+
+351
+00:42:42,130 --> 00:42:45,070
+ال .. و ال mass هذه ال mass و ال area
+
+352
+00:42:54,920 --> 00:43:01,660
+و ال area بالساوية ال
+
+353
+00:43:01,660 --> 00:43:11,920
+mass على by D في رو عشان
+
+354
+00:43:11,920 --> 00:43:15,400
+أجد ال cross section محتاج ال mass ال mass مش
+
+355
+00:43:15,400 --> 00:43:21,760
+معروفة عنده و محتاج ال D موجودة و ال رو موجودةلأن
+
+356
+00:43:21,760 --> 00:43:25,440
+ممكن ارجع لجوة delta E عشان احسس ال mass delta E
+
+357
+00:43:25,440 --> 00:43:28,840
+بيساوي M K Square Omega Square CS ال CS معروفة و
+
+358
+00:43:28,840 --> 00:43:32,700
+ال K معروفة و ال delta E مش معروفة معناته لازمني
+
+359
+00:43:32,700 --> 00:43:41,680
+احسس في delta E معناته delta E هتكون تساوي CE في
+
+360
+00:43:41,680 --> 00:43:47,100
+ال work done per cycle ال work done per cycle
+
+361
+00:43:50,880 --> 00:44:05,220
+work done per cycle نرجع رجوع بالساوية
+
+362
+00:44:05,220 --> 00:44:17,840
+من صفحة البعد P work done per cycle P في ستين على
+
+363
+00:44:17,840 --> 00:44:18,620
+N small
+
+364
+00:44:21,410 --> 00:44:27,150
+فى هى ال power ال N صغير فى حالة steam engine
+
+365
+00:44:27,150 --> 00:44:33,010
+بيساوي N capital ال N صغير بيساوي N capital معناته
+
+366
+00:44:33,010 --> 00:44:45,570
+ال work per cycle سواء P فى ستين على N هيكون
+
+367
+00:44:45,570 --> 00:44:54,030
+الساوية W ال cycleالـ power عندى 150 كل واط يعنى
+
+368
+00:44:54,030 --> 00:45:00,750
+150 في الف في
+
+369
+00:45:00,750 --> 00:45:07,490
+ستين الان عندى تمانين بمعنى ان انا حسبت ال work
+
+370
+00:45:07,490 --> 00:45:18,830
+per cycle هكون عندى 150 الف في
+
+371
+00:45:18,830 --> 00:45:19,450
+ستين
+
+372
+00:45:23,220 --> 00:45:33,300
+تقسيم تمانين بيطلع مية و اتناشر الف و خمسمية نيوتن
+
+373
+00:45:33,300 --> 00:45:38,520
+متر و
+
+374
+00:45:38,520 --> 00:45:42,860
+هنعطي ال delta E العكينة
+
+375
+00:45:42,860 --> 00:45:48,100
+بالساوة ال CE اللي هي عشر في ال work done per
+
+376
+00:45:48,100 --> 00:45:53,590
+cycle في مية و اتناشر الفوخمسمية هتساوب معناته
+
+377
+00:45:53,590 --> 00:45:58,090
+احداشر
+
+378
+00:45:58,090 --> 00:46:07,530
+الف و متين و خمسين النيوتن متر هذا ال delta A ال
+
+379
+00:46:07,530 --> 00:46:12,330
+M ال
+
+380
+00:46:12,330 --> 00:46:17,570
+M من هذه المعادلة ال M
+
+381
+00:46:27,190 --> 00:46:33,690
+هتساوي ال I او خلينا نحكي اكتر معادة مرة تانية ال
+
+382
+00:46:33,690 --> 00:46:37,450
+delta E ال
+
+383
+00:46:37,450 --> 00:46:47,530
+delta E بالسواء I الكلية في
+
+384
+00:46:47,530 --> 00:46:52,110
+omega square CS
+
+385
+00:46:57,520 --> 00:47:02,800
+معناته ال I الكلية
+
+386
+00:47:02,800 --> 00:47:08,780
+هتكون الساوى Delta E اللي هي مية و اتناشر الف و
+
+387
+00:47:08,780 --> 00:47:13,560
+متين و خمسين على
+
+388
+00:47:13,560 --> 00:47:20,940
+Omega square اللي هي تمانية point تلاتة سبعة
+
+389
+00:47:23,200 --> 00:47:30,060
+تلاتة تربية في ال CS اللي هو point O أربعة يعني ال
+
+390
+00:47:30,060 --> 00:47:30,840
+I هتطلع
+
+391
+00:47:59,160 --> 00:48:08,300
+تطلع اربع تلاف و اتناش كيلو جرام اربع تلاف و اتناش
+
+392
+00:48:08,300 --> 00:48:15,190
+كيلو جراممتر تربيع هذه الآية الكلية including ال
+
+393
+00:48:15,190 --> 00:48:23,550
+hub و ال rim الآية
+
+394
+00:48:23,550 --> 00:48:24,230
+بتاعة ال rim
+
+395
+00:48:38,390 --> 00:48:43,470
+هتساوبون تسعة خمسة الاي الكلية يعني هتكون ساوبون
+
+396
+00:48:43,470 --> 00:48:49,910
+تسعة خمسة الاي الكلية اللي هي اربع تلاف و اتناش
+
+397
+00:48:49,910 --> 00:48:53,790
+هتساوي
+
+398
+00:48:53,790 --> 00:49:00,330
+طيب
+
+399
+00:49:00,330 --> 00:49:03,350
+يعني
+
+400
+00:49:03,350 --> 00:49:11,100
+اربع تلاف و اتناشبن تسعة خمسة بيعطين التلك تلفت من
+
+401
+00:49:11,100 --> 00:49:16,620
+مية واحداش كيلو
+
+402
+00:49:16,620 --> 00:49:24,160
+جرام متر square ال
+
+403
+00:49:24,160 --> 00:49:29,020
+I بتاعة الرم هتكون يستوى M I بتاعة الرم برضه هتكون
+
+404
+00:49:29,020 --> 00:49:35,860
+M بتاع الرم M للرم في R square
+
+405
+00:49:37,880 --> 00:49:44,940
+وبينها بحسب ال M بتاعة ال rim اللى هى IR اللى هى
+
+406
+00:49:44,940 --> 00:49:48,060
+3811
+
+407
+00:49:48,060 --> 00:49:53,000
+ال R عند دى ماطينى هو اتنين متر بناته على واحد
+
+408
+00:49:53,000 --> 00:50:03,120
+بتطلع 3811 كيلو جرام ال
+
+409
+00:50:03,120 --> 00:50:15,780
+Aللرم ال A so M للرم على باي D رو ال M بتاعة الرم
+
+410
+00:50:15,780 --> 00:50:23,040
+هي تلت تلاف و تمانمية و احداش على ال باي في D
+
+411
+00:50:23,040 --> 00:50:29,280
+اتنين في رو سبعتلاف و متين هتساوي
+
+412
+00:50:56,970 --> 00:51:04,190
+تمانية أربعة تلاتة متر مربع
+
+413
+00:51:47,900 --> 00:52:11,080
+حل examen سبعة ستاشر سبعتاشر حل
+
+414
+00:52:11,080 --> 00:52:16,980
+examen ستاشر سبعتاشرturning moment diagram of a
+
+415
+00:52:16,980 --> 00:52:27,420
+four stroke engine أول شي عندي four stroke engine
+
+416
+00:52:27,420 --> 00:52:34,360
+أي مسألة أول شي بلغصها may be assumed to be
+
+417
+00:52:34,360 --> 00:52:38,200
+represented by four triangles in each stroke عندي
+
+418
+00:52:38,200 --> 00:52:43,170
+هاي تاني moment diagramعندي suction stroke ,
+
+419
+00:52:43,170 --> 00:52:45,850
+compression stroke و expansion stroke و exhaust
+
+420
+00:52:45,850 --> 00:52:51,450
+stroke كل stroke ممثل بمثلث هاي مثلث لل suction و
+
+421
+00:52:51,450 --> 00:52:55,950
+مثلث لل compression و مثلث لل expansion و مثلث لل
+
+422
+00:52:55,950 --> 00:53:02,350
+exhaust ومعطنين ال areas a1 و a2 و a3 و a4 for
+
+423
+00:53:02,350 --> 00:53:07,610
+each cycle ال
+
+424
+00:53:07,610 --> 00:53:16,370
+suction stroke اللي هي a1بنعطينا a1 بتساوي خمسة في
+
+425
+00:53:16,370 --> 00:53:21,590
+عشر أقصى ناقص خمسة متر مربع بالسالب طبعا هذا خمسة
+
+426
+00:53:21,590 --> 00:53:29,750
+في عشر أقصى سالب خمسة متر مربع وال compression
+
+427
+00:53:29,750 --> 00:53:41,920
+stroke اتنين عبارة عن واحد ناقص واحد وعشرينفعشرة
+
+428
+00:53:41,920 --> 00:53:51,400
+أسالب خمسة متر مربع وال expansion stroke أي تلاتة
+
+429
+00:53:51,400 --> 00:54:03,300
+معطنية خمس وتمانين موجبة فعشرة أسالب خمسة متر مربع
+
+430
+00:54:03,300 --> 00:54:05,320
+وال axis stroke
+
+431
+00:54:08,350 --> 00:54:15,010
+تمانية سالف سالف تمانية في عشرة السالف خمسة متر
+
+432
+00:54:15,010 --> 00:54:19,490
+مربع All
+
+433
+00:54:19,490 --> 00:54:24,630
+areas accepting expansion stroke are negative يعني
+
+434
+00:54:24,630 --> 00:54:30,310
+واضح عند ال .. ال .. ال .. ال suction negative ال
+
+435
+00:54:30,310 --> 00:54:33,370
+compression negative و ال exhaust negative مع ده
+
+436
+00:54:33,370 --> 00:54:34,870
+ال expansion positive
+
+437
+00:54:37,830 --> 00:54:41,910
+لأن we have only done work during the expansion
+
+438
+00:54:41,910 --> 00:54:46,670
+عشان موجب الexpansion يكون عندها موجب each meter
+
+439
+00:54:46,670 --> 00:54:54,790
+square of air represents كل meter square بمثل
+
+440
+00:54:54,790 --> 00:55:05,580
+اربعتاشر ميجا نيوتن meter of workassuming
+
+441
+00:55:05,580 --> 00:55:10,660
+resistance torque to be constant على فرض ان
+
+442
+00:55:10,660 --> 00:55:15,540
+resistance torque ثابت determine moment of inertia
+
+443
+00:55:15,540 --> 00:55:19,900
+of the flywheel to keep
+
+444
+00:55:29,820 --> 00:55:34,640
+to keep the speed between 98 and 102 rpm يعني ال N
+
+445
+00:55:34,640 --> 00:55:44,580
+واحد ال minimum speed اللي هي 98 rpm و
+
+446
+00:55:44,580 --> 00:55:52,740
+ال N اتنين 102 rpm معناه ان ال minimum speed اصلا
+
+447
+00:55:52,740 --> 00:55:57,730
+متواصلة L هم هتكون ال average هم هتكون ال Nمي و
+
+448
+00:55:57,730 --> 00:56:07,530
+اتن زي تون سي على اتنين بتطلع ميت ر بي ام Also
+
+449
+00:56:07,530 --> 00:56:15,310
+find size of
+
+450
+00:56:15,310 --> 00:56:20,840
+a rim type fly wheelbased on minimum material
+
+451
+00:56:20,840 --> 00:56:23,920
+criterion given that the density of the flywheel
+
+452
+00:56:23,920 --> 00:56:26,820
+material is 8150 and the density of the flywheel
+
+453
+00:56:26,820 --> 00:56:31,540
+material rho 8150
+
+454
+00:56:31,540 --> 00:56:42,020
+kilogram ع المتر المكعب الاول
+
+455
+00:56:42,020 --> 00:56:45,780
+تنصيح ال stress of flywheel material sigma
+
+456
+00:56:49,340 --> 00:56:59,140
+اللي هي سبعة و نص ميجا باسكال ال
+
+457
+00:56:59,140 --> 00:57:02,440
+rim cross section is rectangular مقطع ال rim
+
+458
+00:57:02,440 --> 00:57:10,400
+مستطيل one side being four times the other يعني ال
+
+459
+00:57:10,400 --> 00:57:14,960
+B بيسوا أربعة في T
+
+460
+00:57:17,990 --> 00:57:24,670
+بده مساحة المقطع طيب
+
+461
+00:57:24,670 --> 00:57:37,250
+انا عندي .. هاي .. هاي عندي .. هاي
+
+462
+00:57:37,250 --> 00:57:43,810
+عندي ال
+
+463
+00:57:43,810 --> 00:57:49,620
+termogram ل .. ل .. ل .. ل .. للمحركخلّيني أستحضر
+
+464
+00:57:49,620 --> 00:57:54,220
+المعادلات عند المعادلات إذا فاكرينها الـ Delta E
+
+465
+00:57:54,220 --> 00:57:58,040
+إيش
+
+466
+00:57:58,040 --> 00:58:09,240
+بتساوي؟ خلّيني أرجع لجوه خلّيني
+
+467
+00:58:09,240 --> 00:58:13,640
+أحكي أولش ال Sigma بحط
+
+468
+00:58:13,640 --> 00:58:17,340
+المعادلات أمامنا ال Sigma بالساوية
+
+469
+00:58:20,130 --> 00:58:27,490
+Row R Square Omega Square هي المعادلة وعند الـ
+
+470
+00:58:27,490 --> 00:58:31,970
+Aerial بتاعة ال cross section بتاع الريم بيساوة M
+
+471
+00:58:31,970 --> 00:58:34,990
+على
+
+472
+00:58:34,990 --> 00:58:41,450
+باي D4 وعند
+
+473
+00:58:41,450 --> 00:58:52,550
+ال CS بيساوة N واحد minus N اتنين على Nواندي الـ
+
+474
+00:58:52,550 --> 00:58:56,610
+Delta A بتساوي
+
+475
+00:59:34,530 --> 00:59:46,910
+الـ Delta A بتساوي I Omega Square CS هو بده ال I
+
+476
+00:59:46,910 --> 00:59:55,130
+بده ال I معناه عشان احسب ال I بالزمن احسب Delta A
+
+477
+00:59:55,130 --> 01:00:00,310
+و بالزمن احسب CS CS هيه
+
+478
+01:00:11,490 --> 01:00:16,810
+cs بصوة n واحد ناقص n اتنين .. n اتنين ناقص n واحد
+
+479
+01:00:16,810 --> 01:00:26,770
+على n الهمية و اتنين ناقص تمانية وتسعين على مية
+
+480
+01:00:26,770 --> 01:00:33,810
+يعني بيطلع ال CS point o أربعة حسبنا ال CS
+
+481
+01:00:39,980 --> 01:00:44,360
+الاميجا معطيني الآن بحث الاميجا الان عندي مية مية
+
+482
+01:00:44,360 --> 01:01:04,380
+في اتنين by على ستين هتساوي تطلع
+
+483
+01:01:04,380 --> 01:01:06,460
+عشرة point اربعة سبعة عشرة
+
+484
+01:01:09,610 --> 01:01:17,310
+.47 radian لكل second سبنة الاميجا معناته بالزمن
+
+485
+01:01:17,310 --> 01:01:21,310
+كمان Delta E Delta E طب هو معطيني ال turning
+
+486
+01:01:21,310 --> 01:01:24,650
+moment diagram معطيني ال turning moment diagram
+
+487
+01:01:24,650 --> 01:01:30,230
+معطيني
+
+488
+01:01:30,230 --> 01:01:31,950
+ال turning moment diagram
+
+489
+01:01:39,290 --> 01:01:44,830
+عندي لحظة في ال .. في ال four stroke engine بتكون
+
+490
+01:01:44,830 --> 01:01:47,850
+الدورة كامة عندي suction و compression وعندي
+
+491
+01:01:47,850 --> 01:01:52,310
+expansion و exhaust عندي بتكون أربعة باى أربعة باى
+
+492
+01:01:52,310 --> 01:02:00,830
+بقناته ممكن انا احسب ممكن احسب ممكن
+
+493
+01:02:00,830 --> 01:02:07,310
+احسب اولش ال T main بعدين احسب ال delta E ال T
+
+494
+01:02:07,310 --> 01:02:14,640
+main كيف هحسبهاهتكون عندى ال net area هتكون اللى
+
+495
+01:02:14,640 --> 01:02:20,040
+هو a3 ناقص a1 ناقص a2 ناقص a4 خلنا نحطها عشان اذا
+
+496
+01:02:20,040 --> 01:02:29,620
+هستخدم minus هعملها plus اللى
+
+497
+01:02:29,620 --> 01:02:38,520
+هو ال total او ال work فى ال cycle
+
+498
+01:02:41,220 --> 01:02:52,400
+هيكون اللي هو a3 minus a1 minus a2 minus a4 هيساوي
+
+499
+01:02:52,400 --> 01:03:05,780
+a3 هيكون خمسة و تمانين minus a1 خمسة minus a2 واحد
+
+500
+01:03:05,780 --> 01:03:15,670
+و عشرين minus a4 تمانيةكله في عشرة أسالب خمسة يعني
+
+501
+01:03:15,670 --> 01:03:21,250
+خمسة تمانين ناقص خمسة تمانين تمانين ناقص عشرين
+
+502
+01:03:21,250 --> 01:03:35,350
+ستين ناقص تسعة واحد وخمسين هتكون واحد وخمسين في
+
+503
+01:03:35,350 --> 01:03:42,150
+عشرة أسالب خمسة متر مربعهذا هاولها انا المتر مربع
+
+504
+01:03:42,150 --> 01:03:45,830
+عندي equivalent لـ 14 ميجا نيوتن متر يعني هتكون 51
+
+505
+01:03:45,830 --> 01:03:55,850
+في 10 رقل سالب 5 في 14 في 10 رقل 6 يعني هتكون
+
+506
+01:03:55,850 --> 01:03:56,430
+تساوي
+
+507
+01:04:02,120 --> 01:04:07,400
+واحد و خمسين خنت أكسر الرقم خمس و تمانين ناقص خمسة
+
+508
+01:04:07,400 --> 01:04:13,340
+ناقص واحد و عشرين ناقص تمانية يسا واحد و خمسين في
+
+509
+01:04:13,340 --> 01:04:20,780
+أربعتاش مية و أربعين فتطلع
+
+510
+01:04:20,780 --> 01:04:27,540
+سبعتالاف و مية و أربعين in Newton سبعتالاف مية و
+
+511
+01:04:27,540 --> 01:04:30,940
+أربعين in Newton
+
+512
+01:04:35,350 --> 01:04:46,770
+متر هذا ال work per cycle work per cycle معناته
+
+513
+01:04:46,770 --> 01:04:54,010
+ال T من ال work per cycle بس
+
+514
+01:04:54,010 --> 01:04:58,410
+هو ال T من في ال theta ال theta عبارة عن أكام؟
+
+515
+01:04:58,410 --> 01:05:08,200
+عبارة عن أربعة باية معناته ال T منهتكون تساوي هو
+
+516
+01:05:08,200 --> 01:05:12,580
+سبعة ألف و مية و أربعين على
+
+517
+01:05:12,580 --> 01:05:31,300
+أربعة باي تطلع
+
+518
+01:05:31,300 --> 01:05:39,400
+خمسمية و تمانية و ستين و نصخمسمية تمانية و ستين و
+
+519
+01:05:39,400 --> 01:05:42,520
+نص نيوتن متر
+
+520
+01:06:18,330 --> 01:06:23,450
+طبعا انا عندي ال .. ال .. عندي هذه قيمتها خمس
+
+521
+01:06:23,450 --> 01:06:27,950
+فعشان رقم سالف خمسة و هذه واحد و عشرين فعشان رقم
+
+522
+01:06:27,950 --> 01:06:34,210
+سالف خمسة و ال a هذه كلها هذه ال a كلها بتساوي
+
+523
+01:06:34,210 --> 01:06:42,110
+اللي هي خمس تمانين و ال a الرابعة اللي هي بتساوي
+
+524
+01:06:42,110 --> 01:06:44,970
+تمانية ال net area
+
+525
+01:06:55,340 --> 01:07:02,480
+الـ net area هتكون
+
+526
+01:07:02,480 --> 01:07:09,440
+اندي واحد و خمسين ال net area واحد و خمسين هدي
+
+527
+01:07:09,440 --> 01:07:14,880
+كلها واحد و خمسين في عشر أقل سالب خمسة meter
+
+528
+01:07:14,880 --> 01:07:17,380
+square واحد و خمسين في عشر أقل سالب خمسة meter
+
+529
+01:07:17,380 --> 01:07:23,680
+square مع أن الارتفاع هذا هيكون
+
+530
+01:07:23,680 --> 01:07:24,340
+كام؟
+
+531
+01:07:26,720 --> 01:07:33,320
+هسمي h انا تيمين احنا
+
+532
+01:07:33,320 --> 01:07:37,920
+رادي حسبنا تيمين بواحدة النيوتن متر هحسبها بواحدة
+
+533
+01:07:37,920 --> 01:07:49,520
+ال .. هحولها لأطول هذه
+
+534
+01:07:49,520 --> 01:07:54,120
+كلها اتنين اربعة باي معناه ان هذا الارتفاع h هسميه
+
+535
+01:07:55,090 --> 01:08:03,650
+او الارتفاع H او خلينا نسميه GF الارتفاع GF حيكون
+
+536
+01:08:03,650 --> 01:08:13,410
+ساوي عند 51 في عشرة أس سالب خمسة
+
+537
+01:08:13,410 --> 01:08:19,230
+على أربعة
+
+538
+01:08:19,230 --> 01:08:19,630
+باى
+
+539
+01:08:23,690 --> 01:08:33,650
+اللي هو هذا gf مساعة
+
+540
+01:08:33,650 --> 01:08:44,630
+المثلثة اللي هي a3 a3 a3 بتساوي نص
+
+541
+01:08:44,630 --> 01:08:50,130
+مثلثة في هذه المسافة by
+
+542
+01:08:57,140 --> 01:09:01,120
+في a g في
+
+543
+01:09:01,120 --> 01:09:06,680
+a g معناته
+
+544
+01:09:06,680 --> 01:09:17,080
+a g حسة و a تلاتة عنده اللي هي خمسة تمانين في عشرة
+
+545
+01:09:17,080 --> 01:09:22,460
+أس سالب خمسة في
+
+546
+01:09:22,460 --> 01:09:25,520
+اتنين على باي
+
+547
+01:09:31,620 --> 01:09:37,040
+يعني هتكون مية و سبعين في
+
+548
+01:09:37,040 --> 01:09:44,600
+عشرة السالب خمسة على باي هذا الاج هذا هيكون عندي
+
+549
+01:09:44,600 --> 01:09:50,360
+واحد و خمسين على أربعة واحد و خمسين على أربعة
+
+550
+01:09:50,360 --> 01:09:57,500
+اتناش
+
+551
+01:09:57,500 --> 01:09:58,560
+مون سبعة خمسة
+
+552
+01:10:06,550 --> 01:10:20,970
+على باى معناته
+
+553
+01:10:20,970 --> 01:10:28,810
+انا بدى طول AF AF هيكون
+
+554
+01:10:28,810 --> 01:10:33,510
+عنده AG minus
+
+555
+01:10:33,510 --> 01:10:34,450
+GF
+
+556
+01:10:36,860 --> 01:10:41,600
+الـ AG اللي هو مية و سبعين في عشر أقل سالب خمسة
+
+557
+01:10:41,600 --> 01:10:50,800
+على باي minus GF اتناش point سبعة خمسة في عشر أقل
+
+558
+01:10:50,800 --> 01:10:57,560
+سالب خمسة على باي هيساوي مية و سبعين ناقص اتناش
+
+559
+01:10:57,560 --> 01:10:58,420
+point سبعة خمسة
+
+560
+01:11:05,960 --> 01:11:15,480
+حصة مية و سبعة و خمسين و ربع على
+
+561
+01:11:15,480 --> 01:11:19,060
+باي هدقاش
+
+562
+01:11:19,060 --> 01:11:30,820
+ال AF الان عند المثلثين A D E و A B C متشابهين عند
+
+563
+01:11:30,820 --> 01:11:48,840
+المثلثينA D A و A B C Similar معناه
+
+564
+01:11:48,840 --> 01:11:54,880
+تحكونا من دي دي ايه على
+
+565
+01:11:54,880 --> 01:12:00,320
+بي سي بس او A F
+
+566
+01:12:03,290 --> 01:12:08,050
+على ag يعني
+
+567
+01:12:08,050 --> 01:12:14,250
+ال دي اي على
+
+568
+01:12:14,250 --> 01:12:20,850
+بي سي اللي هي باي بتساوي
+
+569
+01:12:20,850 --> 01:12:24,270
+ال اي اف اللي هو
+
+570
+01:12:31,250 --> 01:12:36,170
+اللي ألف اللي هو مية و سبعة و خمسين point اتنين
+
+571
+01:12:36,170 --> 01:12:45,570
+خمسة و ال .. و ال .. و ال AJ اللي هو مية و سبعين
+
+572
+01:12:45,570 --> 01:12:49,070
+انا طبعا حزفت العشرة الخمسة و ال by على مية و
+
+573
+01:12:49,070 --> 01:12:53,210
+سبعين معناته ال DE
+
+574
+01:12:56,970 --> 01:13:12,790
+هتكون سوى 157.25 سوى
+
+575
+01:13:12,790 --> 01:13:16,050
+0.925
+
+576
+01:13:16,050 --> 01:13:21,470
+في باي هذا ال دي ايه المعنى هو ال fluctuation of
+
+577
+01:13:21,470 --> 01:13:30,640
+energy دلتا ايههيستوى نص مساحة المثلث نص دي اي في
+
+578
+01:13:30,640 --> 01:13:38,880
+اي اف هيستوى نص دي اي اللي هي point تسعة اتنين
+
+579
+01:13:38,880 --> 01:13:45,020
+خمسة by في ال اي اف وين ال اي اف اللي هو مية و
+
+580
+01:13:45,020 --> 01:13:52,150
+سبعة و خمسينمية و سبعة و خمسين point اتنين خمسة في
+
+581
+01:13:52,150 --> 01:13:58,910
+عشر السالم خمسة على باي لحظة
+
+582
+01:13:58,910 --> 01:14:05,470
+باي تروح مع باي طبعا هذه الواحدة هتطلع بال meter
+
+583
+01:14:05,470 --> 01:14:14,730
+square هكون عندي نص في نص يساوي
+
+584
+01:14:14,730 --> 01:14:16,190
+في مية و سبعة و خمسين
+
+585
+01:14:30,730 --> 01:14:40,850
+.2572.72810-5m2 عشان احولها لنيوتر متر هضربها 72
+
+586
+01:14:40,850 --> 01:14:51,300
+.72810-5 هضربها في 14فى عشرة اقل ستة هتستيقظ
+
+587
+01:14:51,300 --> 01:14:59,960
+بالنيوتن متر فى
+
+588
+01:14:59,960 --> 01:15:05,800
+اربعتاش فى
+
+589
+01:15:05,800 --> 01:15:10,800
+عشرة تطلع
+
+590
+01:15:10,800 --> 01:15:20,440
+عشر تلاف ومية واتنين وتمانين عشر تلافو مية و اتنين
+
+591
+01:15:20,440 --> 01:15:31,480
+و تمانين نيوتن متر دلتا اي عشر
+
+592
+01:15:31,480 --> 01:15:36,540
+تلاف و مية و اتنين و تمانين نيوتن متر انا باختار
+
+593
+01:15:36,540 --> 01:15:41,320
+طبعا انكوا هتحلوا وراي اتراجعوا و اذا في خطأ
+
+594
+01:15:41,320 --> 01:15:45,180
+الارقام اتعدلوها الان ال delta E
+
+595
+01:15:48,060 --> 01:15:58,940
+بتساوي I Omega Square في ال CS برضه
+
+596
+01:15:58,940 --> 01:16:15,140
+بتساوي I عبارة عن M R Square Omega Square CS احنا
+
+597
+01:16:15,140 --> 01:16:17,200
+بدنا ال I يعني ال I
+
+598
+01:16:21,730 --> 01:16:28,610
+هتساوي دلتا ايه عندي عشر تلاف ومية واتنين وتمانين
+
+599
+01:16:28,610 --> 01:16:36,890
+على omega حسبنا omega احنا omega اللي هي عشرة
+
+600
+01:16:36,890 --> 01:16:41,950
+point اربعة سبعة تربية
+
+601
+01:16:41,950 --> 01:16:47,130
+CS اللي هي point اربعة
+
+602
+01:16:53,490 --> 01:17:02,650
+هتطلع عند ال I هشر
+
+603
+01:17:02,650 --> 01:17:18,030
+تلاف و بية و اتنين و تمانين تقسم هتطلع
+
+604
+01:17:18,030 --> 01:17:22,070
+الفين و تلاتمية و اتنين و عشرين
+
+605
+01:17:26,180 --> 01:17:37,160
+kilogram meter square المطلوب
+
+606
+01:17:37,160 --> 01:17:47,200
+التاني المطلوب التاني المطلوب التاني المطلوب
+
+607
+01:17:47,200 --> 01:17:47,260
+التاني
+
+608
+01:18:00,160 --> 01:18:09,860
+بنحسب ال area ال cross sectional area ال
+
+609
+01:18:09,860 --> 01:18:19,680
+area او خلينا نحكي ال I بالسواق M R تربيع وال R
+
+610
+01:18:19,680 --> 01:18:26,480
+عبارة عن D على 2 يعني هتكون M D على 2 الكل تربيع
+
+611
+01:18:26,480 --> 01:18:28,920
+يعني هتكون السواق M
+
+612
+01:18:31,650 --> 01:18:54,830
+اللي تربية على أربعة طيب
+
+613
+01:18:54,830 --> 01:19:00,690
+ال area هتكون
+
+614
+01:19:06,350 --> 01:19:14,750
+م على باي دي في رو الان في عندي missing كما انا
+
+615
+01:19:14,750 --> 01:19:19,890
+انا مش معروف عند الدي هذا المشكلة بس بعطيهم ال
+
+616
+01:19:19,890 --> 01:19:27,530
+sigma ال sigma مش بالساوي ال sigma بالساوي ال
+
+617
+01:19:27,530 --> 01:19:33,400
+sigma الساوي ال sigma الساوي ال روالسجم بالساوية
+
+618
+01:19:33,400 --> 01:19:39,160
+رو ار سكوير اوميجا سكوير معناته الار سكوير او الار
+
+619
+01:19:39,160 --> 01:19:43,280
+سكوير الار هتكون
+
+620
+01:19:43,280 --> 01:19:54,260
+الجزر التربيعي ل .. ل واحد على اوميجا الجزر
+
+621
+01:19:54,260 --> 01:20:03,990
+التربيعي لسجم على رو يعني هتكونممكن اعمل الجزر
+
+622
+01:20:03,990 --> 01:20:09,770
+التربيعي ل سيجما اللي هي انه سبعة و نص ميجا سبعة و
+
+623
+01:20:09,770 --> 01:20:17,190
+نص في عشر اقل ستة روء الكثافة اللي هي تمانت تلاف و
+
+624
+01:20:17,190 --> 01:20:22,810
+مية و خمسين في
+
+625
+01:20:22,810 --> 01:20:30,790
+الامجا تربيع اللي هي عشرة point اربعة سبعة تربيع
+
+626
+01:20:32,950 --> 01:20:41,630
+و انها بحسب ال R capital يعني
+
+627
+01:20:41,630 --> 01:20:46,570
+عندي
+
+628
+01:20:46,570 --> 01:20:55,590
+سبعة و نص في عشرة و ستة سبعة و نص تقسيم
+
+629
+01:20:55,590 --> 01:20:58,690
+تمان تلاف و مية و خمسين
+
+630
+01:21:11,710 --> 01:21:16,470
+تطلع اتنين بوينت تمانية تسعة سبعة ال R تطلع اتنين
+
+631
+01:21:16,470 --> 01:21:20,590
+بوينت تمانية
+
+632
+01:21:20,590 --> 01:21:31,290
+تسعة سبعة متر معناه ال D capital هتكون سوى اتنين R
+
+633
+01:21:31,290 --> 01:21:38,830
+هتكون اتنين و سبعة اربعة عشر اتنين و تسعة تسعة عشر
+
+634
+01:21:39,990 --> 01:21:46,590
+اتنين ب تمانية بسبعتاش اتنين في اتنين بخمسة متر
+
+635
+01:21:46,590 --> 01:21:56,570
+هتدي capital ال A هتكون
+
+636
+01:21:56,570 --> 01:22:07,930
+تساوي M على باي دي في رو هتساوي ال Mأنا بدي أحسب
+
+637
+01:22:07,930 --> 01:22:16,910
+ال M في الأول معناته ال M ال M بالسوء I على R
+
+638
+01:22:16,910 --> 01:22:24,670
+تربيع ال I عندي الفين و تلاتنية و اتنين و عشرين
+
+639
+01:22:24,670 --> 01:22:33,690
+على ال R اللي هي اتنين point تمانية تسعة سبعة
+
+640
+01:22:33,690 --> 01:22:35,230
+تربيع
+
+641
+01:22:55,350 --> 01:23:00,110
+بتطلع متين وسبع وسبعين kilogram متين وسبع وسبعين
+
+642
+01:23:00,110 --> 01:23:03,230
+kilogram
+
+643
+01:23:03,230 --> 01:23:09,030
+ال A هتكون
+
+644
+01:23:09,030 --> 01:23:18,340
+تساوي Mعلى باى دى ثروة الام اللى هى ميتين وسبعة
+
+645
+01:23:18,340 --> 01:23:29,720
+وسبعين على باى دى اللى هى خمسة point سبعة تسعة
+
+646
+01:23:29,720 --> 01:23:34,160
+اربعة ثروة تمان تلاف ومية وخمسين
+
+647
+01:24:02,150 --> 01:24:09,550
+تطلع point o o واحد
+
+648
+01:24:09,550 --> 01:24:17,170
+تمانية سبعة متر مربع بتساوي
+
+649
+01:24:17,170 --> 01:24:27,690
+اربعة في ال T يعني بتساوي بي في T بي في T و بي
+
+650
+01:24:27,690 --> 01:24:38,910
+بتساوي اربعة TT تربية بالسوابونت O 187
+
+651
+01:24:38,910 --> 01:24:43,010
+وينها بحسب ال T
+
+652
+01:25:06,920 --> 01:25:14,880
+بنت او اتنين واحد ستة بنت او اتنين اتنين ت تطلع
+
+653
+01:25:14,880 --> 01:25:24,420
+بنت او اتنين اتنين اتنين متر يعني بالملي اتنين و
+
+654
+01:25:24,420 --> 01:25:31,640
+عشرين ملي بيكون اربعة في ت اربعة اتنين و عشرين
+
+655
+01:25:31,640 --> 01:25:32,480
+تمانية و تمانية
+
+656
+01:25:35,320 --> 01:25:45,440
+ملي ميتا هيك
+
+657
+01:25:45,440 --> 01:25:50,160
+منكون خلصنا ال chapter لل term moment diagram و ال
+
+658
+01:25:50,160 --> 01:25:54,420
+fly wheels ال exam اتطلعت عليها اشوف حالة في
+
+659
+01:25:54,420 --> 01:25:57,440
+الكتاب ممكن المعيد ساعدكوا فيها اي حد نحتاج
+
+660
+01:25:57,440 --> 01:26:00,980
+استفسار يتواصل معاه يعطيكوا العافية السلام عليكم
+
diff --git a/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/wJiGIlXDENY_raw.srt b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/wJiGIlXDENY_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..acbbda0b0e1011d40a601986103e18fbd4ab50be
--- /dev/null
+++ b/PL9fwy3NUQKwYGJNVBbAdPNdILtggY8OCU/wJiGIlXDENY_raw.srt
@@ -0,0 +1,2648 @@
+1
+00:00:05,720 --> 00:00:08,580
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,580 --> 00:00:13,880
+وبركاته اليوم هنكمل في مادة نظرية الألات اللي هو
+
+3
+00:00:13,880 --> 00:00:17,440
+ال chapter المتعلق بال turning moment diagrams and
+
+4
+00:00:17,440 --> 00:00:22,620
+flywheels نعمل مراجعة سريعة للمحاضرة الفاتة
+
+5
+00:00:22,620 --> 00:00:24,900
+اتعرفنا ال turning moment diagram هو graphical
+
+6
+00:00:24,900 --> 00:00:27,800
+representation لل turning moment أو ال crank
+
+7
+00:00:27,800 --> 00:00:35,960
+effort at various crank anglesتفرجنا على العديد من
+
+8
+00:00:35,960 --> 00:00:38,860
+ال turning moment diagrams في الحلقة اللى شوفناها
+
+9
+00:00:38,860 --> 00:00:41,680
+السابقة ان هي turning moment diagram ل single
+
+10
+00:00:41,680 --> 00:00:46,040
+cylinder double acting steam engine حكينا ان ال
+
+11
+00:00:46,040 --> 00:00:50,600
+turning moment on the crankshaft ال T بيستوى في FP
+
+12
+00:00:50,600 --> 00:00:54,780
+في R في sin θ زي sin 2θ على 2 في N تربيه minus sin
+
+13
+00:00:54,780 --> 00:00:57,440
+تربيه ثتا و FP ال piston effort
+
+14
+00:01:01,860 --> 00:01:04,960
+حكيها لما يكون عندى ال .. ال .. ال .. ال .. ال
+
+15
+00:01:04,960 --> 00:01:08,260
+generated torque at the crank أعلى من ال .. ال
+
+16
+00:01:08,260 --> 00:01:14,340
+required torque أو ال .. ال load بنخزن الطاقة
+
+17
+00:01:14,340 --> 00:01:18,500
+للزيادة في ال .. على شكل طاقة حركة flywheel ففي
+
+18
+00:01:18,500 --> 00:01:23,070
+الحالة هاد الصورة ال flywheel بتتزيد .. بتزيدإذا
+
+19
+00:01:23,070 --> 00:01:27,050
+كانت الطاقة المنتجة من ال .. ال .. ال .. ال crank
+
+20
+00:01:27,050 --> 00:01:32,490
+أقل من ال required beam torque باخد العجز عندي في
+
+21
+00:01:32,490 --> 00:01:35,070
+الطاقة من ال flywheel وبالتالي سرعة ال flywheel
+
+22
+00:01:35,070 --> 00:01:36,630
+هتت ناقص
+
+23
+00:01:49,590 --> 00:01:53,530
+عرفنا اللى هو المعامل التذبذب فى الطاقة اللى هو ال
+
+24
+00:01:53,530 --> 00:01:55,750
+maximum fluctuation of energy ع ال work done per
+
+25
+00:01:55,750 --> 00:01:59,150
+cycle و ال work done per cycle بيستوى ال mean
+
+26
+00:01:59,150 --> 00:02:02,950
+torque فى ال .. ال .. ال theta .. ال theta اللى هى
+
+27
+00:02:02,950 --> 00:02:06,820
+ال angle turned in one revolution by the crankثيتا
+
+28
+00:02:06,820 --> 00:02:10,040
+بيستوى اتنين بايفي حالة steam engine او two stroke
+
+29
+00:02:10,040 --> 00:02:13,440
+internal combustion engine وثيتا بيستوى اربع بايفي
+
+30
+00:02:13,440 --> 00:02:16,880
+حالة four stroke internal combustion engine
+
+31
+00:02:16,880 --> 00:02:22,240
+التيمين بيستوى ال power على ال angular velocity او
+
+32
+00:02:22,240 --> 00:02:26,340
+بيستوى بيفس ال T لع تنين بايفي Nال work done per
+
+33
+00:02:26,340 --> 00:02:33,600
+cycle معادلة جامعة P فى ستين على N small بستوى
+
+34
+00:02:33,600 --> 00:02:36,440
+N capital فى حالة steam engine او two stroke
+
+35
+00:02:36,440 --> 00:02:40,200
+internal combustion engine او بستوى N capital على
+
+36
+00:02:40,200 --> 00:02:42,640
+تلين فى حالة four stroke internal combustion
+
+37
+00:02:42,640 --> 00:02:48,570
+engineالـ flywheel عرفناها هي كان جهاز لتخزين
+
+38
+00:02:48,570 --> 00:02:52,630
+الطاقة على شكل طاقة ميكانيكية في مرحلة في .. يعني
+
+39
+00:02:52,630 --> 00:02:56,050
+بتخزن الطاقة لما نكون عندنا access of energy جاية
+
+40
+00:02:56,050 --> 00:03:01,090
+من ال crank بخزن الطاقة لزيادة فسرعتها أيش بالزيد
+
+41
+00:03:01,090 --> 00:03:03,670
+و في حالة في عندي عاجز في الطاقة باخد هذه الطاقة
+
+42
+00:03:03,670 --> 00:03:06,650
+من ال flywheel و فتالة سرعتها هتنقص ال flywheel
+
+43
+00:03:11,070 --> 00:03:14,370
+ال governor عرفناه اللي هو في ال .. ال governor
+
+44
+00:03:14,370 --> 00:03:19,290
+بيعمل تنظيم لسرعة ال engine لما نكون عنده ال load
+
+45
+00:03:19,290 --> 00:03:26,450
+متغيرة، إذا ال load بزيد محتاج أعطي وقود أكتر عشان
+
+46
+00:03:26,450 --> 00:03:30,850
+أحافظ على السرعة، إذا ال load بنزل محتاج أخفف كمية
+
+47
+00:03:30,850 --> 00:03:34,150
+الوقود تصل ال engine عشان .. عشان أحافظ على نفس
+
+48
+00:03:34,150 --> 00:03:39,900
+السرعةعرفنا اللى هو المعامل التذبد في السرعة
+
+49
+00:03:39,900 --> 00:03:44,100
+بالساوية اللى هو الفرق بين ال maximum speed و ال
+
+50
+00:03:44,100 --> 00:03:46,760
+minimum speed على ال average أو ال main speed
+
+51
+00:03:46,760 --> 00:03:50,040
+معامل
+
+52
+00:03:50,040 --> 00:03:53,560
+الثبات هو واحد على معامل التذبد في السرعة ال Cm
+
+53
+00:03:53,560 --> 00:03:54,660
+بالساوية واحدة على ال CS
+
+54
+00:03:59,350 --> 00:04:04,530
+ال energy stored in a flywheel او او التغير delta
+
+55
+00:04:04,530 --> 00:04:09,330
+E الفرق الفرق بين ال maximum ال maximum kinetic
+
+56
+00:04:09,330 --> 00:04:11,950
+energy و ال minor kinetic energy delta E مرتبط
+
+57
+00:04:11,950 --> 00:04:17,130
+علاقة I Omega Square في CS او MK Square Omega
+
+58
+00:04:17,130 --> 00:04:22,470
+Square في CS او 2E في CS حاليا مجموعة من ال
+
+59
+00:04:22,470 --> 00:04:22,870
+examples
+
+60
+00:04:30,200 --> 00:04:33,900
+الان هنشوف كيف نعمل design و dimensioning ل ال
+
+61
+00:04:33,900 --> 00:04:38,520
+flywheel انا
+
+62
+00:04:38,520 --> 00:04:43,460
+عندى هنا انبين فى الصورة انبين فى الصورة عندى ال
+
+63
+00:04:43,460 --> 00:04:50,580
+flywheel عندى ال R small ال R small هو ال mean rim
+
+64
+00:04:50,580 --> 00:04:56,870
+radius ال mean radius of the rimوالدائرة الحمرة
+
+65
+00:04:56,870 --> 00:05:02,110
+المنقطة هذه قطرها هو قطر الريم ال main diameter of
+
+66
+00:05:02,110 --> 00:05:07,650
+the rim المقطع لو أخدت مقطع عمودي على الصفحه هيكون
+
+67
+00:05:07,650 --> 00:05:11,530
+له thickness T وبعد تالت عمودي على الصفحه اللي هو
+
+68
+00:05:11,530 --> 00:05:15,390
+B يعني هيكون مقطع له بعدين B اللي هو البعد التالت
+
+69
+00:05:15,390 --> 00:05:22,050
+وT اللي هي thickness بتاعة الريمال raw هي الكثافة
+
+70
+00:05:22,050 --> 00:05:24,550
+لل rim material لأنها ممكن تكون cast ايرون ممكن
+
+71
+00:05:24,550 --> 00:05:30,110
+تكون ستيل ال N ال N اللي هي speed ال main speed of
+
+72
+00:05:30,110 --> 00:05:34,350
+a flywheel بوحدة ال RPM ال Omega اللي هي ال main
+
+73
+00:05:34,350 --> 00:05:37,330
+speed of the flywheel بوحدة ال radians per second
+
+74
+00:05:37,330 --> 00:05:41,190
+ال V اللي ينافلوستي قدمين radians ال V هتكون سواء
+
+75
+00:05:41,190 --> 00:05:47,610
+R كابيتال في Omega بتكون مماسة لزاوية لدائرة ال
+
+76
+00:05:47,610 --> 00:05:54,880
+main circle لل rimالصج السيجما هي hoop stress due
+
+77
+00:05:54,880 --> 00:05:59,680
+to centrifugal force وهى الدور الرم هستير قوة طرد
+
+78
+00:05:59,680 --> 00:06:04,120
+مركزى تعمل hoop stress بتحاول هنا يعني بتحاول تشد
+
+79
+00:06:04,120 --> 00:06:08,180
+او تفسخ ال .. ال .. ال .. ال .. المنطقة هذه ال due
+
+80
+00:06:08,180 --> 00:06:12,340
+to internal tensile stress عشان احسب ال internal
+
+81
+00:06:12,340 --> 00:06:19,010
+tensile stress السيجماباخد stress باخد element هاي
+
+82
+00:06:19,010 --> 00:06:25,210
+element هذي زي ال theta و هذي ال delta الثيتا الآن
+
+83
+00:06:25,210 --> 00:06:27,810
+ال element هذا إيه الكتلة؟ معناه تحكوا عليه قوة
+
+84
+00:06:27,810 --> 00:06:37,610
+طرد مركزي قوة طرد مركزي عند
+
+85
+00:06:37,610 --> 00:06:41,250
+هاي ال element تحكوا عليه هذا هو ال element تبعي
+
+86
+00:06:55,780 --> 00:07:00,880
+هتكون عليه قوة طرد مركزي differential force F
+
+87
+00:07:00,880 --> 00:07:09,640
+للخارج ال DF بالساوية
+
+88
+00:07:09,640 --> 00:07:20,960
+اللي هي A normal في DM وال A normal عبارة عن omega
+
+89
+00:07:20,960 --> 00:07:21,560
+square
+
+90
+00:07:31,240 --> 00:07:35,780
+الان ال DM هذا
+
+91
+00:07:35,780 --> 00:07:39,520
+الطول ال
+
+92
+00:07:39,520 --> 00:07:46,380
+DM هتكون ساوى DM
+
+93
+00:07:46,380 --> 00:07:53,800
+رو فدي ال volume بتاع ال elementهو الكثافة و دي ال
+
+94
+00:07:53,800 --> 00:08:03,160
+volume بتاع ال element رو ال DV ال
+
+95
+00:08:03,160 --> 00:08:15,660
+DV عبارة عن مساحة المقطع اللي هي هتكون R D theta
+
+96
+00:08:24,480 --> 00:08:30,560
+ر دي ثيتا في ال
+
+97
+00:08:30,560 --> 00:08:36,440
+A ال
+
+98
+00:08:36,440 --> 00:08:47,420
+A هتكون رو ر اي دي ثيتا لو بنعوضها مثلا ال DF
+
+99
+00:08:51,160 --> 00:09:10,900
+بساوية omega square R DM رو ار اي دي ثتا رو
+
+100
+00:09:10,900 --> 00:09:15,060
+اي دي ثتا رو اي دي ثتا رو اي دي ثتا
+
+101
+00:09:19,930 --> 00:09:26,890
+لو حللت لمركبتين دي اف
+
+102
+00:09:26,890 --> 00:09:40,350
+اد زاوية ثيتا cosine ثيتا عندي هنا دي اف sin ثيتا
+
+103
+00:09:43,740 --> 00:09:49,800
+المراكبة Df sin θ هي اللى بتحاول تعمل stress هو ب
+
+104
+00:09:49,800 --> 00:09:54,760
+stress على المقطع يعنى
+
+105
+00:09:54,760 --> 00:10:01,280
+فانا
+
+106
+00:10:01,280 --> 00:10:13,240
+بهمن ال Df sin θ هتساوي omega squareR² Rho A Sine
+
+107
+00:10:13,240 --> 00:10:20,380
+Theta D Theta ال
+
+108
+00:10:20,380 --> 00:10:27,040
+total vertical upward force ال F upward هكون تكامل
+
+109
+00:10:27,040 --> 00:10:37,280
+D F D F Sine Theta من 0 ل 2 من 0 ل Pi يعني هتكون
+
+110
+00:10:38,010 --> 00:10:44,370
+تكامل من zero ل by نعود عن df sin θ omega square r
+
+111
+00:10:44,370 --> 00:10:52,470
+square rho a sin θ d θ هاخد طبعا omega square راح
+
+112
+00:10:52,470 --> 00:10:58,790
+تطلع بره الانتيجرال omega square r square rho a
+
+113
+00:10:58,790 --> 00:11:06,770
+تكامل sin θ d θ اللي هي عبارة عن minus cosine θمن
+
+114
+00:11:06,770 --> 00:11:12,610
+السفر لل باى هتساوي omega square minus omega
+
+115
+00:11:12,610 --> 00:11:23,910
+square r square rho a في cosine ال by minus
+
+116
+00:11:23,910 --> 00:11:29,190
+cosine ال zero cosine ال by واحد يعني هيكون minus
+
+117
+00:11:29,190 --> 00:11:34,090
+واحد minus واحد بيصير minus اتنين في minus بيصير
+
+118
+00:11:34,090 --> 00:11:45,920
+اتنينأتنين Omega Square R Square رو في A هاد ال
+
+119
+00:11:45,920 --> 00:11:53,500
+upward force ال stress سيجما حيساو
+
+120
+00:11:53,500 --> 00:12:00,720
+الأف upwards على ال area اللي حصير عندها stress لو
+
+121
+00:12:00,720 --> 00:12:10,090
+حيساو اتنينوميجا سكوار رو سكوار رو ا على اتنين ال
+
+122
+00:12:10,090 --> 00:12:17,370
+a هتكون على اتنين ال a يعني
+
+123
+00:12:17,370 --> 00:12:22,030
+هيروح عند ا مع ا و اتنين مع اتنين بيصير عندى
+
+124
+00:12:22,030 --> 00:12:26,310
+اوميجا سكوار ر سكوار رو
+
+125
+00:12:37,620 --> 00:12:42,360
+اللي هي ال stress ال hoop stress عند مقطع ال
+
+126
+00:12:42,360 --> 00:12:50,660
+flywheel ال mass ال mass هان ال
+
+127
+00:12:50,660 --> 00:12:57,380
+mass لو عملت integral هان ده من zero ل باي ال
+
+128
+00:12:57,380 --> 00:13:05,360
+mass هتكون المحيط بتاعة ال rim circle باي في دي
+
+129
+00:13:08,160 --> 00:13:16,020
+في مساحة المقطع في الكثافة يعني ال area هتكون
+
+130
+00:13:16,020 --> 00:13:27,900
+تساوي M على باى M على باى D M على
+
+131
+00:13:27,900 --> 00:13:31,240
+باى D R
+
+132
+00:13:35,740 --> 00:13:40,240
+معنى ان انا عندي معدلتين determined determining او
+
+133
+00:13:40,240 --> 00:13:43,920
+ممكن اسمه loss sizing لل .. لل flow اللي هي sigma
+
+134
+00:13:43,920 --> 00:13:48,980
+بالساوية رو ر رو ر رو ر رو رو رو رو رو رو رو رو رو
+
+135
+00:13:48,980 --> 00:13:49,720
+رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو
+
+136
+00:13:49,720 --> 00:13:50,020
+رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو
+
+137
+00:13:50,020 --> 00:13:50,040
+رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو
+
+138
+00:13:50,040 --> 00:13:50,060
+رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو رو
+
+139
+00:13:50,060 --> 00:13:53,620
+رو رو رو رو رو رو رو رو رو رو
+
+140
+00:13:53,620 --> 00:13:59,880
+رو
+
+141
+00:13:59,880 --> 00:13:59,880
+ر
+
+142
+00:14:12,760 --> 00:14:15,620
+Turning moment diagram for a multi-cylinder engine
+
+143
+00:14:15,620 --> 00:14:19,600
+has been drawn to a scale of one millimetre.عند
+
+144
+00:14:19,600 --> 00:14:22,960
+التاني moment diagram اللي هو هذا.هذا عند multi
+
+145
+00:14:22,960 --> 00:14:25,780
+-cylinder engine وهذا التاني moment diagram تبعه
+
+146
+00:14:25,780 --> 00:14:33,360
+مرسوم ل scale كل واحد millimetre على ال .. على ال
+
+147
+00:14:33,360 --> 00:14:38,460
+.. ال .. ال .. ال moment axis واحد millimetre
+
+148
+00:14:38,460 --> 00:14:49,710
+equivalent لخمسين نيوتن متر وعلى ال X-axis واحد
+
+149
+00:14:49,710 --> 00:14:58,470
+ملي متر equivalent لل six degrees of the crank
+
+150
+00:14:58,470 --> 00:15:05,590
+angle ال engine is running at eight hundred rpm ال
+
+151
+00:15:05,590 --> 00:15:12,460
+N بتاعة ال engine تمانمية RPMيعني الامج هتكون
+
+152
+00:15:12,460 --> 00:15:22,960
+ساوية تمانية في اتنين باي على ستين يعني
+
+153
+00:15:22,960 --> 00:15:34,420
+هتكون تساوية تمانين باي على تلاتة رديان لكل second
+
+154
+00:15:37,730 --> 00:15:40,410
+The engine has a stroke of three hundred
+
+155
+00:15:40,410 --> 00:15:45,630
+millimeters الستروك بتاعة ال engine تلتمية
+
+156
+00:15:45,630 --> 00:15:49,670
+مليمتر
+
+157
+00:15:49,670 --> 00:15:54,850
+and fluctuation of speed is not to exceed plus or
+
+158
+00:15:54,850 --> 00:15:59,370
+minus two percent of the mean speed معناه تبعطيني
+
+159
+00:15:59,370 --> 00:16:06,490
+معامل التدبد في السرعة CS بالساوة اتنين في bond O
+
+160
+00:16:06,490 --> 00:16:14,660
+twoبسوا point O أربعة هذا ال CS determine a
+
+161
+00:16:14,660 --> 00:16:22,000
+suitable diameter أوجد قطر مناسب دي capital للي
+
+162
+00:16:22,000 --> 00:16:27,600
+flywheel and cross section flywheel rim والي cross
+
+163
+00:16:27,600 --> 00:16:34,980
+section نية للي flywheelfor a limiting value of
+
+164
+00:16:34,980 --> 00:16:38,660
+safe centrial stress limiting value sigma عندي
+
+165
+00:16:38,660 --> 00:16:47,340
+المسموح فيها أو ال maximum سبعة ميجا بسكال the
+
+166
+00:16:47,340 --> 00:16:50,360
+material density may be assumed معتنق ال density
+
+167
+00:16:50,360 --> 00:16:54,960
+لسبعة
+
+168
+00:16:54,960 --> 00:17:04,900
+تلاف و متين كيلو جرام على المتر المكعبthe width of
+
+169
+00:17:04,900 --> 00:17:08,400
+the rim is
+
+170
+00:17:08,400 --> 00:17:11,760
+to be five times the thickness ال B بتاع ال rim
+
+171
+00:17:11,760 --> 00:17:18,700
+خمسة خمس مرات ال thickness بده
+
+172
+00:17:18,700 --> 00:17:24,080
+ال D و ال A طبعا
+
+173
+00:17:24,080 --> 00:17:31,540
+انا خليني نرجع نرجع جوا عشان
+
+174
+00:17:31,540 --> 00:17:32,380
+احسب ال
+
+175
+00:17:37,130 --> 00:17:42,330
+عشان احسب ال A عشان
+
+176
+00:17:42,330 --> 00:17:47,590
+احسب ال cross section عشان
+
+177
+00:17:47,590 --> 00:17:55,450
+احسب ال A ال A بيش سوى ايش M على
+
+178
+00:17:55,450 --> 00:18:02,710
+Y D R طب انا بعرف بعرش M ولا بعرف D بعرف R بس
+
+179
+00:18:02,710 --> 00:18:12,500
+المعنى هو لازم احسب ايشأحسب ال R لأن عشان أحسب ال
+
+180
+00:18:12,500 --> 00:18:21,360
+R ممكن نهدي المعادلة سيجما سيجما بالساوية
+
+181
+00:18:21,360 --> 00:18:27,220
+رو R Square Omega Square
+
+182
+00:18:30,980 --> 00:18:36,020
+معناته انا معروف عندي ال sigma معروف عندي ال raw
+
+183
+00:18:36,020 --> 00:18:41,200
+معروف عندي ال R ممكن نحسبه ال R معناته ال R هتكون
+
+184
+00:18:41,200 --> 00:18:52,000
+تساوي sigma على raw omega square تحت الجدر هتساوي
+
+185
+00:18:52,000 --> 00:18:56,040
+ال sigma عندي السابعة ماجي بسكالي هتكون الجدر
+
+186
+00:18:56,040 --> 00:19:01,520
+التربيهيلسبعة في عشرة اقل ستة عشان احولي على
+
+187
+00:19:01,520 --> 00:19:08,660
+باسكال على ال row سبعتلاف و متين و ال omega اللي
+
+188
+00:19:08,660 --> 00:19:20,140
+هي عنده تمانين باي على تلاتة تمانين باي على تلاتة
+
+189
+00:19:20,140 --> 00:19:25,800
+لكل تربية و منها بحسب ال R
+
+190
+00:19:39,210 --> 00:19:46,770
+يعني الانبعاد الـ R سبعة في عشر أقل ستة
+
+191
+00:19:46,770 --> 00:19:52,990
+على تين
+
+192
+00:19:52,990 --> 00:19:57,190
+على
+
+193
+00:19:57,190 --> 00:19:57,590
+باي
+
+194
+00:20:14,940 --> 00:20:25,260
+على باقص نص
+
+195
+00:20:49,190 --> 00:20:57,870
+كمان مرة اتأكد الحسبة عند السبعة في عشر او ستة على
+
+196
+00:20:57,870 --> 00:20:59,310
+سبعة تلاف و متين
+
+197
+00:21:25,230 --> 00:21:33,530
+تطلع point تلاتة سبعة اتنين متر تطلع ال R point
+
+198
+00:21:33,530 --> 00:21:40,610
+تلاتة سبعة اتنين متر معناة ال D هتكون اتساوة اتنين
+
+199
+00:21:40,610 --> 00:21:51,810
+R اللي هتكون point تلاتة سبعة اتنين في تطلع
+
+200
+00:21:51,810 --> 00:21:52,750
+point سبعة اربعة
+
+201
+00:21:59,910 --> 00:22:05,050
+الان صارت دي معروفة عندى الان محتاج اعرف ال M
+
+202
+00:22:05,050 --> 00:22:13,210
+محتاج اعرف ال M ال M عشان اعرفها محتاج معدلات
+
+203
+00:22:13,210 --> 00:22:21,550
+تانية اذا فاكرين نرجع
+
+204
+00:22:21,550 --> 00:22:28,010
+جوا في ال slides نرجع
+
+205
+00:22:28,010 --> 00:22:28,410
+جوا
+
+206
+00:22:34,230 --> 00:22:39,710
+الـ Delta E ال Delta ممكن نستخدم معدلة Delta E
+
+207
+00:22:39,710 --> 00:22:44,230
+بتساوي
+
+208
+00:22:44,230 --> 00:22:48,010
+M
+
+209
+00:22:48,010 --> 00:22:57,290
+K تربية Omega تربية في
+
+210
+00:22:57,290 --> 00:22:57,930
+CS
+
+211
+00:23:06,210 --> 00:23:31,790
+معطين ال CS نرجع للمثال اه
+
+212
+00:23:31,790 --> 00:23:39,770
+ال K تقريبابساوي ال R يعني ال Delta E هتكون تساوي
+
+213
+00:23:39,770 --> 00:23:50,730
+MR تربيع Omega تربيع CS معناته ال M هتكون تساوي
+
+214
+00:23:50,730 --> 00:24:01,910
+Delta E على R Square Omega Square CSالـ R المعروفة
+
+215
+00:24:01,910 --> 00:24:04,830
+والـ C اسمها وضعي اللي بدى يحسب دلتا ايه الدلتا
+
+216
+00:24:04,830 --> 00:24:10,810
+ايه المهم بحسبها من ال turning moment diagram
+
+217
+00:24:29,780 --> 00:24:36,060
+لازم اعرف ال maximum moment وين فهعمل جدول هعمل
+
+218
+00:24:36,060 --> 00:24:46,380
+جدول احكي ال point و
+
+219
+00:24:46,380 --> 00:24:54,140
+ال energy و ال E انا
+
+220
+00:24:54,140 --> 00:24:55,240
+هبدأ من عند A
+
+221
+00:24:59,520 --> 00:25:07,960
+ABCDEFGHKL من هنا نقطة A and
+
+222
+00:25:07,960 --> 00:25:12,540
+A كانت ده فرض ال energy انها E بالساوية and B
+
+223
+00:25:12,540 --> 00:25:22,040
+هتكون E ناقص تلاتين E ناقص
+
+224
+00:25:22,040 --> 00:25:39,120
+تلاتين and CE-30 E-30 E-40 E-40 E-30 E-40 E-40 E
+
+225
+00:25:39,120 --> 00:25:39,620
+-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E
+
+226
+00:25:39,620 --> 00:25:39,620
+-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E
+
+227
+00:25:39,620 --> 00:25:39,760
+-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E
+
+228
+00:25:39,760 --> 00:25:41,560
+-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E
+
+229
+00:25:41,560 --> 00:25:44,560
+-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E
+
+230
+00:25:44,560 --> 00:25:44,800
+-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E-40 E
+
+231
+00:25:44,800 --> 00:25:49,500
+-40 E-40 E-40 E-40 E-40 E
+
+232
+00:25:49,500 --> 00:25:54,920
+-40 E-40
+
+233
+00:25:54,920 --> 00:26:01,210
+E-عند D هتكون
+
+234
+00:26:01,210 --> 00:26:08,930
+ال E عند C ناقص 280 يعني هتكون E زائد 380 ناقص 280
+
+235
+00:26:08,930 --> 00:26:19,170
+يعني E زائد 100 عند E E زائد 100 عند E هتكون
+
+236
+00:26:19,170 --> 00:26:27,420
+ال energy عند D زائد 320 يعني هتكون Eزائد أربعمية
+
+237
+00:26:27,420 --> 00:26:32,280
+و عشرين and
+
+238
+00:26:32,280 --> 00:26:38,020
+if هتكون
+
+239
+00:26:38,020 --> 00:26:43,700
+هتطرح اللي هتكون E زائد أربعمية و عشرين ناقص
+
+240
+00:26:43,700 --> 00:26:52,300
+تلتمية و تلتين يعني هتكون E زائد تسعين and
+
+241
+00:26:52,300 --> 00:26:52,740
+G
+
+242
+00:26:58,530 --> 00:27:02,970
+هتكون E زائد تسعين زائد متين وخمسين يعني E زائد
+
+243
+00:27:02,970 --> 00:27:13,150
+تلاتمية واربعين E زائد تلاتمية واربعين عند
+
+244
+00:27:13,150 --> 00:27:17,330
+H هترح
+
+245
+00:27:17,330 --> 00:27:23,710
+منها تلاتمية وستين هتصير E ناقص عشرين
+
+246
+00:27:26,370 --> 00:27:33,390
+عند K هضيف عليها 280 عند K هضيف عليها 280 هصير E
+
+247
+00:27:33,390 --> 00:27:47,190
+زائد 260 عند L هطرح 260 هتكون تساوي E طيب
+
+248
+00:27:47,190 --> 00:27:53,830
+واضح وين ال maximum في عندي هنا ال B is minimum
+
+249
+00:28:01,200 --> 00:28:05,580
+هذه ايه minimum و
+
+250
+00:28:05,580 --> 00:28:15,680
+maximum and ايه هذه
+
+251
+00:28:15,680 --> 00:28:24,700
+ايه max اما
+
+252
+00:28:24,700 --> 00:28:32,910
+انا اتوحك دلتا ايه هتكون اذا ايه maxminus E
+
+253
+00:28:32,910 --> 00:28:44,850
+minimum هتساوي اللي هي E زاد 420 minus
+
+254
+00:28:44,850 --> 00:28:53,350
+E ناقص تلاتين
+
+255
+00:28:53,350 --> 00:28:58,250
+يعني هتكون تساوي 450
+
+256
+00:29:01,570 --> 00:29:07,790
+ملي متر تربيع الان نرجع هنا في ال scale بتاعنا
+
+257
+00:29:07,790 --> 00:29:14,010
+هحولها لوحدات طاقة هذه لوحدات ملي متر الواحد ملي
+
+258
+00:29:14,010 --> 00:29:18,830
+متر square يعادل
+
+259
+00:29:18,830 --> 00:29:29,080
+خمسمية نيوتن متر في ست درجاتيعني هضرب الدرجة ده و
+
+260
+00:29:29,080 --> 00:29:39,220
+احولها ال radians يعني هحولها في Y على 180 انا
+
+261
+00:29:39,220 --> 00:29:46,840
+عندي 450 يعني عند 450 هتكون
+
+262
+00:29:46,840 --> 00:29:51,020
+equivalent ل450 في الرقم هذا يعني هصير عندي ال
+
+263
+00:29:51,020 --> 00:29:55,140
+delta E هتكون
+
+264
+00:29:55,140 --> 00:30:08,060
+تساوي450 في خمسمية في ستة في باى على مية و تمانين
+
+265
+00:30:08,060 --> 00:30:13,600
+النيوتن
+
+266
+00:30:13,600 --> 00:30:19,960
+متر هتكون 450 في خمسمية
+
+267
+00:30:22,390 --> 00:30:31,690
+في ستة في باع تقسيم مية و تمانين تطلع تلاتة و
+
+268
+00:30:31,690 --> 00:30:37,710
+عشرين ألف و خمسمية و خمسين تلاتة و عشرين ألف و
+
+269
+00:30:37,710 --> 00:30:41,910
+خمسمية و خمسين نيوتن متر
+
+270
+00:30:45,680 --> 00:30:48,160
+معناته خلص Delta E صارت معروف والـ R معروف حسينا
+
+271
+00:30:48,160 --> 00:30:51,180
+ان ال .. ال .. ال .. ال .. ال mass Delta E اللي هي
+
+272
+00:30:51,180 --> 00:30:59,100
+تلاتة عشرين ألف وخمسمية وخمسين على ال R اللي هي R
+
+273
+00:30:59,100 --> 00:31:06,120
+square point تلاتة سبعة اتنين تربيع في ال Omega
+
+274
+00:31:06,120 --> 00:31:15,860
+square اللي هي تمانين by ع تلاتة لكل تربيعفى ال CS
+
+275
+00:31:15,860 --> 00:31:24,620
+تحت في المقام اللى هى point O أربعة منها
+
+276
+00:31:24,620 --> 00:31:31,580
+بحسب إيش ال mass هتطلع تقسيم
+
+277
+00:31:31,580 --> 00:31:33,900
+point تلاتة سبعة
+
+278
+00:32:11,330 --> 00:32:19,970
+بتطلع ستمية و سبعة كيلو جرام ال
+
+279
+00:32:19,970 --> 00:32:23,870
+mass الانصار
+
+280
+00:32:23,870 --> 00:32:27,490
+معروف عندي لما انا ممكن احسب ال area ال area بتاعة
+
+281
+00:32:27,490 --> 00:32:37,870
+المقطع بيساوي M على by D for all ال M عندي ستمية و
+
+282
+00:32:37,870 --> 00:32:51,580
+سبعةعلى ال buy ال دي اللي هي point 744 euro
+
+283
+00:32:51,580 --> 00:33:06,760
+معطينيها سبعتلاف و متين يعني
+
+284
+00:33:06,760 --> 00:33:22,640
+انا هكون لسه اتنية و سبعةتقسيم by بتطلع
+
+285
+00:33:22,640 --> 00:33:33,840
+point o تلاتة ستة point o تلاتة ستة متر مربع طيب
+
+286
+00:33:33,840 --> 00:33:37,920
+ال area بتساوي
+
+287
+00:33:40,400 --> 00:33:45,100
+بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت
+
+288
+00:33:45,100 --> 00:33:49,500
+بفت بفت بفت بفت بفت بفت بفت بفت
+
+289
+00:33:49,500 --> 00:33:51,240
+بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت
+
+290
+00:33:51,240 --> 00:33:51,920
+بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت
+
+291
+00:33:51,920 --> 00:33:54,100
+بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت
+
+292
+00:33:54,100 --> 00:33:55,620
+بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت بفت
+
+293
+00:33:55,620 --> 00:34:05,240
+بفت بفت بفت بفت بفت بفت
+
+294
+00:34:05,240 --> 00:34:08,460
+بف
+
+295
+00:34:21,160 --> 00:34:32,960
+و منها بحسب ال T اللي هتكون point O تقسيم
+
+296
+00:34:32,960 --> 00:34:45,480
+خمسة تحت الجدر تطلع point O تمانية خمسة متر تطلع T
+
+297
+00:34:45,480 --> 00:34:56,210
+بالساعة point Oتمانية خمسة متر يعني في ال
+
+298
+00:34:56,210 --> 00:35:01,390
+millimeter حضره في الف هتكون خمس تمانين millimeter
+
+299
+00:35:01,390 --> 00:35:08,190
+و ال B هتكون خمسة في خمس تمانين خمسة في خمسة بخمسة
+
+300
+00:35:08,190 --> 00:35:14,670
+و عشرين خمسة في تمانية باتنين و أربعين millimeter
+
+301
+00:35:19,840 --> 00:35:23,120
+هك احنا عملنا design flywheel جيبنا كل مقاساتها
+
+302
+00:35:23,120 --> 00:35:30,200
+بناء على المعلومات المتاحة عنها طيب
+
+303
+00:35:30,200 --> 00:35:31,860
+انحل مثال تاني
+
+304
+00:36:17,750 --> 00:36:22,010
+الحلو مثال تاني عندي
+
+305
+00:36:22,010 --> 00:36:26,870
+a single cylinder double acting steam engine يعني
+
+306
+00:36:26,870 --> 00:36:35,350
+single خلال خصة single cylinder double
+
+307
+00:36:35,350 --> 00:36:42,690
+acting steam engine single cylinder double acting
+
+308
+00:36:42,690 --> 00:36:48,230
+steam enginedevelops مية و خمسين كيلو وات يعني ال
+
+309
+00:36:48,230 --> 00:36:56,630
+power بتاعته بالسواء مية و خمسين كيلو وات at a
+
+310
+00:36:56,630 --> 00:37:11,950
+mean speed الان بالسواء تمانين by تمانين rpm يعني
+
+311
+00:37:11,950 --> 00:37:18,570
+ال omega هتكون تمانينفى اتنين باى ع ستين يعني
+
+312
+00:37:18,570 --> 00:37:24,230
+هتساوى
+
+313
+00:37:24,230 --> 00:37:32,970
+هتساوى
+
+314
+00:37:32,970 --> 00:37:45,660
+تمانية point تلاتة سبعة تلاتة radian كل secondthe
+
+315
+00:37:45,660 --> 00:37:49,020
+coefficient of fluctuation of energy معامل التذبذب
+
+316
+00:37:49,020 --> 00:37:53,500
+في الطاقة CE بتساوي
+
+317
+00:37:53,500 --> 00:37:57,940
+point one and
+
+318
+00:37:57,940 --> 00:38:00,980
+fluctuation of speed is plus or minus two percent
+
+319
+00:38:00,980 --> 00:38:06,180
+of the mean speed بيعني ال CS هيكون سوى اتنين في
+
+320
+00:38:06,180 --> 00:38:09,220
+point O اتنين هيسوى point O اربعة
+
+321
+00:38:13,410 --> 00:38:17,130
+if the main diameter of the flywheel rim is two
+
+322
+00:38:17,130 --> 00:38:21,330
+meters and
+
+323
+00:38:21,330 --> 00:38:25,290
+the
+
+324
+00:38:25,290 --> 00:38:30,590
+hub and spokes provide أنا عندي ال flywheel بتكون
+
+325
+00:38:30,590 --> 00:38:37,750
+زي هيك شكلها في عندى في النصو في عند ال hub ال rim
+
+326
+00:38:37,750 --> 00:38:54,070
+الخارجي و في ال spokes بتاعتها هذه ال spokes the
+
+327
+00:38:54,070 --> 00:38:57,130
+hub and spokes provide 5% of the rotational
+
+328
+00:38:57,130 --> 00:39:04,070
+inertia of the flywheel يعني ال I الكليةهتكون ال I
+
+329
+00:39:04,070 --> 00:39:08,590
+تاعة ال Hub و
+
+330
+00:39:08,590 --> 00:39:21,290
+ال Spokes زاد ال I تاعة ال Rim ال
+
+331
+00:39:21,290 --> 00:39:25,510
+I تاعة ال Hub معطينة
+
+332
+00:39:25,510 --> 00:39:31,450
+بالساوية point O خمسة من ال I الكلية
+
+333
+00:39:33,940 --> 00:39:42,120
+معناته I تاعت ال rim لسه point O point 9 5 من ال I
+
+334
+00:39:42,120 --> 00:39:46,920
+الكلية لل flywheel find
+
+335
+00:39:46,920 --> 00:39:55,120
+the mass بده ال mass and
+
+336
+00:39:55,120 --> 00:39:58,480
+the cross sectional area of the flywheel rim هو
+
+337
+00:39:58,480 --> 00:40:01,720
+مقطع ال flywheel rim ال A
+
+338
+00:40:08,300 --> 00:40:11,660
+assume density of the flywheel material cast iron
+
+339
+00:40:11,660 --> 00:40:16,300
+الدينسيته للمصنوع من الcast iron الدينسيته هتكون
+
+340
+00:40:16,300 --> 00:40:22,940
+سبتمبر متين كيلو جرام على المتر المكعب
+
+341
+00:40:44,830 --> 00:40:50,270
+طيب بده ال I معطيني ال coefficient of fluctuation
+
+342
+00:40:50,270 --> 00:40:59,890
+of ال CE ال CE ايه شو يساوي؟ ال CE بيساوي delta E
+
+343
+00:40:59,890 --> 00:41:04,230
+على E نرجع لها .. نرجع رجوع .. نرجع للمعدلات
+
+344
+00:41:23,640 --> 00:41:31,060
+الـ CE بتساوي
+
+345
+00:41:31,060 --> 00:41:35,480
+ال maximum fluctuation of energy يعني ال maximum
+
+346
+00:41:35,480 --> 00:41:43,360
+delta E على ال work done per cycle
+
+347
+00:41:54,090 --> 00:42:05,770
+و ال CS بيستوى N واحد minus N اتنين على N مابدنياش
+
+348
+00:42:05,770 --> 00:42:12,570
+الماس و ال Delta E انا بحاول احطلكم عشان نستكشف
+
+349
+00:42:12,570 --> 00:42:17,570
+الحل Delta E بيستوى
+
+350
+00:42:17,570 --> 00:42:21,190
+Delta
+
+351
+00:42:21,190 --> 00:42:21,510
+E
+
+352
+00:42:25,390 --> 00:42:42,130
+Delta A بيساوي M K Square Omega Square CS و
+
+353
+00:42:42,130 --> 00:42:45,070
+ال .. و ال mass هذه ال mass و ال area
+
+354
+00:42:54,920 --> 00:43:01,660
+و ال area بالساوية ال
+
+355
+00:43:01,660 --> 00:43:11,920
+mass على by D في رو عشان
+
+356
+00:43:11,920 --> 00:43:15,400
+أجد ال cross section محتاج ال mass ال mass مش
+
+357
+00:43:15,400 --> 00:43:21,760
+معروفة عنده و محتاج ال D موجودة و ال رو موجودةلأن
+
+358
+00:43:21,760 --> 00:43:25,440
+ممكن ارجع لجوة delta E عشان احسس ال mass delta E
+
+359
+00:43:25,440 --> 00:43:28,840
+بيساوي M K Square Omega Square CS ال CS معروفة و
+
+360
+00:43:28,840 --> 00:43:32,700
+ال K معروفة و ال delta E مش معروفة معناته لازمني
+
+361
+00:43:32,700 --> 00:43:41,680
+احسس في delta E معناته delta E هتكون تساوي CE في
+
+362
+00:43:41,680 --> 00:43:47,100
+ال work done per cycle ال work done per cycle
+
+363
+00:43:50,880 --> 00:44:05,220
+work done per cycle نرجع رجوع بالساوية
+
+364
+00:44:05,220 --> 00:44:17,840
+من صفحة البعد P work done per cycle P في ستين على
+
+365
+00:44:17,840 --> 00:44:18,620
+N small
+
+366
+00:44:21,410 --> 00:44:27,150
+فى هى ال power ال N صغير فى حالة steam engine
+
+367
+00:44:27,150 --> 00:44:33,010
+بيساوي N capital ال N صغير بيساوي N capital معناته
+
+368
+00:44:33,010 --> 00:44:45,570
+ال work per cycle سواء P فى ستين على N هيكون
+
+369
+00:44:45,570 --> 00:44:54,030
+الساوية W ال cycleالـ power عندى 150 كل واط يعنى
+
+370
+00:44:54,030 --> 00:45:00,750
+150 في الف في
+
+371
+00:45:00,750 --> 00:45:07,490
+ستين الان عندى تمانين بمعنى ان انا حسبت ال work
+
+372
+00:45:07,490 --> 00:45:18,830
+per cycle هكون عندى 150 الف في
+
+373
+00:45:18,830 --> 00:45:19,450
+ستين
+
+374
+00:45:23,220 --> 00:45:33,300
+تقسيم تمانين بيطلع مية و اتناشر الف و خمسمية نيوتن
+
+375
+00:45:33,300 --> 00:45:38,520
+متر و
+
+376
+00:45:38,520 --> 00:45:42,860
+هنعطي ال delta E العكينة
+
+377
+00:45:42,860 --> 00:45:48,100
+بالساوة ال CE اللي هي عشر في ال work done per
+
+378
+00:45:48,100 --> 00:45:53,590
+cycle في مية و اتناشر الفوخمسمية هتساوب معناته
+
+379
+00:45:53,590 --> 00:45:58,090
+احداشر
+
+380
+00:45:58,090 --> 00:46:07,530
+الف و متين و خمسين النيوتن متر هذا ال delta A ال
+
+381
+00:46:07,530 --> 00:46:12,330
+M ال
+
+382
+00:46:12,330 --> 00:46:17,570
+M من هذه المعادلة ال M
+
+383
+00:46:27,190 --> 00:46:33,690
+هتساوي ال I او خلينا نحكي اكتر معادة مرة تانية ال
+
+384
+00:46:33,690 --> 00:46:37,450
+delta E ال
+
+385
+00:46:37,450 --> 00:46:47,530
+delta E بالسواء I الكلية في
+
+386
+00:46:47,530 --> 00:46:52,110
+omega square CS
+
+387
+00:46:57,520 --> 00:47:02,800
+معناته ال I الكلية
+
+388
+00:47:02,800 --> 00:47:08,780
+هتكون الساوى Delta E اللي هي مية و اتناشر الف و
+
+389
+00:47:08,780 --> 00:47:13,560
+متين و خمسين على
+
+390
+00:47:13,560 --> 00:47:20,940
+Omega square اللي هي تمانية point تلاتة سبعة
+
+391
+00:47:23,200 --> 00:47:30,060
+تلاتة تربية في ال CS اللي هو point O أربعة يعني ال
+
+392
+00:47:30,060 --> 00:47:30,840
+I هتطلع
+
+393
+00:47:59,160 --> 00:48:08,300
+تطلع اربع تلاف و اتناش كيلو جرام اربع تلاف و اتناش
+
+394
+00:48:08,300 --> 00:48:15,190
+كيلو جراممتر تربيع هذه الآية الكلية including ال
+
+395
+00:48:15,190 --> 00:48:23,550
+hub و ال rim الآية
+
+396
+00:48:23,550 --> 00:48:24,230
+بتاعة ال rim
+
+397
+00:48:38,390 --> 00:48:43,470
+هتساوبون تسعة خمسة الاي الكلية يعني هتكون ساوبون
+
+398
+00:48:43,470 --> 00:48:49,910
+تسعة خمسة الاي الكلية اللي هي اربع تلاف و اتناش
+
+399
+00:48:49,910 --> 00:48:53,790
+هتساوي
+
+400
+00:48:53,790 --> 00:49:00,330
+طيب
+
+401
+00:49:00,330 --> 00:49:03,350
+يعني
+
+402
+00:49:03,350 --> 00:49:11,100
+اربع تلاف و اتناشبن تسعة خمسة بيعطين التلك تلفت من
+
+403
+00:49:11,100 --> 00:49:16,620
+مية واحداش كيلو
+
+404
+00:49:16,620 --> 00:49:24,160
+جرام متر square ال
+
+405
+00:49:24,160 --> 00:49:29,020
+I بتاعة الرم هتكون يستوى M I بتاعة الرم برضه هتكون
+
+406
+00:49:29,020 --> 00:49:35,860
+M بتاع الرم M للرم في R square
+
+407
+00:49:37,880 --> 00:49:44,940
+وبينها بحسب ال M بتاعة ال rim اللى هى IR اللى هى
+
+408
+00:49:44,940 --> 00:49:48,060
+3811
+
+409
+00:49:48,060 --> 00:49:53,000
+ال R عند دى ماطينى هو اتنين متر بناته على واحد
+
+410
+00:49:53,000 --> 00:50:03,120
+بتطلع 3811 كيلو جرام ال
+
+411
+00:50:03,120 --> 00:50:15,780
+Aللرم ال A so M للرم على باي D رو ال M بتاعة الرم
+
+412
+00:50:15,780 --> 00:50:23,040
+هي تلت تلاف و تمانمية و احداش على ال باي في D
+
+413
+00:50:23,040 --> 00:50:29,280
+اتنين في رو سبعتلاف و متين هتساوي
+
+414
+00:50:56,970 --> 00:51:04,190
+تمانية أربعة تلاتة متر مربع
+
+415
+00:51:47,900 --> 00:52:11,080
+حل examen سبعة ستاشر سبعتاشر حل
+
+416
+00:52:11,080 --> 00:52:16,980
+examen ستاشر سبعتاشرturning moment diagram of a
+
+417
+00:52:16,980 --> 00:52:27,420
+four stroke engine أول شي عندي four stroke engine
+
+418
+00:52:27,420 --> 00:52:34,360
+أي مسألة أول شي بلغصها may be assumed to be
+
+419
+00:52:34,360 --> 00:52:38,200
+represented by four triangles in each stroke عندي
+
+420
+00:52:38,200 --> 00:52:43,170
+هاي تاني moment diagramعندي suction stroke ,
+
+421
+00:52:43,170 --> 00:52:45,850
+compression stroke و expansion stroke و exhaust
+
+422
+00:52:45,850 --> 00:52:51,450
+stroke كل stroke ممثل بمثلث هاي مثلث لل suction و
+
+423
+00:52:51,450 --> 00:52:55,950
+مثلث لل compression و مثلث لل expansion و مثلث لل
+
+424
+00:52:55,950 --> 00:53:02,350
+exhaust ومعطنين ال areas a1 و a2 و a3 و a4 for
+
+425
+00:53:02,350 --> 00:53:07,610
+each cycle ال
+
+426
+00:53:07,610 --> 00:53:16,370
+suction stroke اللي هي a1بنعطينا a1 بتساوي خمسة في
+
+427
+00:53:16,370 --> 00:53:21,590
+عشر أقصى ناقص خمسة متر مربع بالسالب طبعا هذا خمسة
+
+428
+00:53:21,590 --> 00:53:29,750
+في عشر أقصى سالب خمسة متر مربع وال compression
+
+429
+00:53:29,750 --> 00:53:41,920
+stroke اتنين عبارة عن واحد ناقص واحد وعشرينفعشرة
+
+430
+00:53:41,920 --> 00:53:51,400
+أسالب خمسة متر مربع وال expansion stroke أي تلاتة
+
+431
+00:53:51,400 --> 00:54:03,300
+معطنية خمس وتمانين موجبة فعشرة أسالب خمسة متر مربع
+
+432
+00:54:03,300 --> 00:54:05,320
+وال axis stroke
+
+433
+00:54:08,350 --> 00:54:15,010
+تمانية سالف سالف تمانية في عشرة السالف خمسة متر
+
+434
+00:54:15,010 --> 00:54:19,490
+مربع All
+
+435
+00:54:19,490 --> 00:54:24,630
+areas accepting expansion stroke are negative يعني
+
+436
+00:54:24,630 --> 00:54:30,310
+واضح عند ال .. ال .. ال .. ال suction negative ال
+
+437
+00:54:30,310 --> 00:54:33,370
+compression negative و ال exhaust negative مع ده
+
+438
+00:54:33,370 --> 00:54:34,870
+ال expansion positive
+
+439
+00:54:37,830 --> 00:54:41,910
+لأن we have only done work during the expansion
+
+440
+00:54:41,910 --> 00:54:46,670
+عشان موجب الexpansion يكون عندها موجب each meter
+
+441
+00:54:46,670 --> 00:54:54,790
+square of air represents كل meter square بمثل
+
+442
+00:54:54,790 --> 00:55:05,580
+اربعتاشر ميجا نيوتن meter of workassuming
+
+443
+00:55:05,580 --> 00:55:10,660
+resistance torque to be constant على فرض ان
+
+444
+00:55:10,660 --> 00:55:15,540
+resistance torque ثابت determine moment of inertia
+
+445
+00:55:15,540 --> 00:55:19,900
+of the flywheel to keep
+
+446
+00:55:29,820 --> 00:55:34,640
+to keep the speed between 98 and 102 rpm يعني ال N
+
+447
+00:55:34,640 --> 00:55:44,580
+واحد ال minimum speed اللي هي 98 rpm و
+
+448
+00:55:44,580 --> 00:55:52,740
+ال N اتنين 102 rpm معناه ان ال minimum speed اصلا
+
+449
+00:55:52,740 --> 00:55:57,730
+متواصلة L هم هتكون ال average هم هتكون ال Nمي و
+
+450
+00:55:57,730 --> 00:56:07,530
+اتن زي تون سي على اتنين بتطلع ميت ر بي ام Also
+
+451
+00:56:07,530 --> 00:56:15,310
+find size of
+
+452
+00:56:15,310 --> 00:56:20,840
+a rim type fly wheelbased on minimum material
+
+453
+00:56:20,840 --> 00:56:23,920
+criterion given that the density of the flywheel
+
+454
+00:56:23,920 --> 00:56:26,820
+material is 8150 and the density of the flywheel
+
+455
+00:56:26,820 --> 00:56:31,540
+material rho 8150
+
+456
+00:56:31,540 --> 00:56:42,020
+kilogram ع المتر المكعب الاول
+
+457
+00:56:42,020 --> 00:56:45,780
+تنصيح ال stress of flywheel material sigma
+
+458
+00:56:49,340 --> 00:56:59,140
+اللي هي سبعة و نص ميجا باسكال ال
+
+459
+00:56:59,140 --> 00:57:02,440
+rim cross section is rectangular مقطع ال rim
+
+460
+00:57:02,440 --> 00:57:10,400
+مستطيل one side being four times the other يعني ال
+
+461
+00:57:10,400 --> 00:57:14,960
+B بيسوا أربعة في T
+
+462
+00:57:17,990 --> 00:57:24,670
+بده مساحة المقطع طيب
+
+463
+00:57:24,670 --> 00:57:37,250
+انا عندي .. هاي .. هاي عندي .. هاي
+
+464
+00:57:37,250 --> 00:57:43,810
+عندي ال
+
+465
+00:57:43,810 --> 00:57:49,620
+termogram ل .. ل .. ل .. ل .. للمحركخلّيني أستحضر
+
+466
+00:57:49,620 --> 00:57:54,220
+المعادلات عند المعادلات إذا فاكرينها الـ Delta E
+
+467
+00:57:54,220 --> 00:57:58,040
+إيش
+
+468
+00:57:58,040 --> 00:58:09,240
+بتساوي؟ خلّيني أرجع لجوه خلّيني
+
+469
+00:58:09,240 --> 00:58:13,640
+أحكي أولش ال Sigma بحط
+
+470
+00:58:13,640 --> 00:58:17,340
+المعادلات أمامنا ال Sigma بالساوية
+
+471
+00:58:20,130 --> 00:58:27,490
+Row R Square Omega Square هي المعادلة وعند الـ
+
+472
+00:58:27,490 --> 00:58:31,970
+Aerial بتاعة ال cross section بتاع الريم بيساوة M
+
+473
+00:58:31,970 --> 00:58:34,990
+على
+
+474
+00:58:34,990 --> 00:58:41,450
+باي D4 وعند
+
+475
+00:58:41,450 --> 00:58:52,550
+ال CS بيساوة N واحد minus N اتنين على Nواندي الـ
+
+476
+00:58:52,550 --> 00:58:56,610
+Delta A بتساوي
+
+477
+00:59:34,530 --> 00:59:46,910
+الـ Delta A بتساوي I Omega Square CS هو بده ال I
+
+478
+00:59:46,910 --> 00:59:55,130
+بده ال I معناه عشان احسب ال I بالزمن احسب Delta A
+
+479
+00:59:55,130 --> 01:00:00,310
+و بالزمن احسب CS CS هيه
+
+480
+01:00:11,490 --> 01:00:16,810
+cs بصوة n واحد ناقص n اتنين .. n اتنين ناقص n واحد
+
+481
+01:00:16,810 --> 01:00:26,770
+على n الهمية و اتنين ناقص تمانية وتسعين على مية
+
+482
+01:00:26,770 --> 01:00:33,810
+يعني بيطلع ال CS point o أربعة حسبنا ال CS
+
+483
+01:00:39,980 --> 01:00:44,360
+الاميجا معطيني الآن بحث الاميجا الان عندي مية مية
+
+484
+01:00:44,360 --> 01:01:04,380
+في اتنين by على ستين هتساوي تطلع
+
+485
+01:01:04,380 --> 01:01:06,460
+عشرة point اربعة سبعة عشرة
+
+486
+01:01:09,610 --> 01:01:17,310
+.47 radian لكل second سبنة الاميجا معناته بالزمن
+
+487
+01:01:17,310 --> 01:01:21,310
+كمان Delta E Delta E طب هو معطيني ال turning
+
+488
+01:01:21,310 --> 01:01:24,650
+moment diagram معطيني ال turning moment diagram
+
+489
+01:01:24,650 --> 01:01:30,230
+معطيني
+
+490
+01:01:30,230 --> 01:01:31,950
+ال turning moment diagram
+
+491
+01:01:39,290 --> 01:01:44,830
+عندي لحظة في ال .. في ال four stroke engine بتكون
+
+492
+01:01:44,830 --> 01:01:47,850
+الدورة كامة عندي suction و compression وعندي
+
+493
+01:01:47,850 --> 01:01:52,310
+expansion و exhaust عندي بتكون أربعة باى أربعة باى
+
+494
+01:01:52,310 --> 01:02:00,830
+بقناته ممكن انا احسب ممكن احسب ممكن
+
+495
+01:02:00,830 --> 01:02:07,310
+احسب اولش ال T main بعدين احسب ال delta E ال T
+
+496
+01:02:07,310 --> 01:02:14,640
+main كيف هحسبهاهتكون عندى ال net area هتكون اللى
+
+497
+01:02:14,640 --> 01:02:20,040
+هو a3 ناقص a1 ناقص a2 ناقص a4 خلنا نحطها عشان اذا
+
+498
+01:02:20,040 --> 01:02:29,620
+هستخدم minus هعملها plus اللى
+
+499
+01:02:29,620 --> 01:02:38,520
+هو ال total او ال work فى ال cycle
+
+500
+01:02:41,220 --> 01:02:52,400
+هيكون اللي هو a3 minus a1 minus a2 minus a4 هيساوي
+
+501
+01:02:52,400 --> 01:03:05,780
+a3 هيكون خمسة و تمانين minus a1 خمسة minus a2 واحد
+
+502
+01:03:05,780 --> 01:03:15,670
+و عشرين minus a4 تمانيةكله في عشرة أسالب خمسة يعني
+
+503
+01:03:15,670 --> 01:03:21,250
+خمسة تمانين ناقص خمسة تمانين تمانين ناقص عشرين
+
+504
+01:03:21,250 --> 01:03:35,350
+ستين ناقص تسعة واحد وخمسين هتكون واحد وخمسين في
+
+505
+01:03:35,350 --> 01:03:42,150
+عشرة أسالب خمسة متر مربعهذا هاولها انا المتر مربع
+
+506
+01:03:42,150 --> 01:03:45,830
+عندي equivalent لـ 14 ميجا نيوتن متر يعني هتكون 51
+
+507
+01:03:45,830 --> 01:03:55,850
+في 10 رقل سالب 5 في 14 في 10 رقل 6 يعني هتكون
+
+508
+01:03:55,850 --> 01:03:56,430
+تساوي
+
+509
+01:04:02,120 --> 01:04:07,400
+واحد و خمسين خنت أكسر الرقم خمس و تمانين ناقص خمسة
+
+510
+01:04:07,400 --> 01:04:13,340
+ناقص واحد و عشرين ناقص تمانية يسا واحد و خمسين في
+
+511
+01:04:13,340 --> 01:04:20,780
+أربعتاش مية و أربعين فتطلع
+
+512
+01:04:20,780 --> 01:04:27,540
+سبعتالاف و مية و أربعين in Newton سبعتالاف مية و
+
+513
+01:04:27,540 --> 01:04:30,940
+أربعين in Newton
+
+514
+01:04:35,350 --> 01:04:46,770
+متر هذا ال work per cycle work per cycle معناته
+
+515
+01:04:46,770 --> 01:04:54,010
+ال T من ال work per cycle بس
+
+516
+01:04:54,010 --> 01:04:58,410
+هو ال T من في ال theta ال theta عبارة عن أكام؟
+
+517
+01:04:58,410 --> 01:05:08,200
+عبارة عن أربعة باية معناته ال T منهتكون تساوي هو
+
+518
+01:05:08,200 --> 01:05:12,580
+سبعة ألف و مية و أربعين على
+
+519
+01:05:12,580 --> 01:05:31,300
+أربعة باي تطلع
+
+520
+01:05:31,300 --> 01:05:39,400
+خمسمية و تمانية و ستين و نصخمسمية تمانية و ستين و
+
+521
+01:05:39,400 --> 01:05:42,520
+نص نيوتن متر
+
+522
+01:06:18,330 --> 01:06:23,450
+طبعا انا عندي ال .. ال .. عندي هذه قيمتها خمس
+
+523
+01:06:23,450 --> 01:06:27,950
+فعشان رقم سالف خمسة و هذه واحد و عشرين فعشان رقم
+
+524
+01:06:27,950 --> 01:06:34,210
+سالف خمسة و ال a هذه كلها هذه ال a كلها بتساوي
+
+525
+01:06:34,210 --> 01:06:42,110
+اللي هي خمس تمانين و ال a الرابعة اللي هي بتساوي
+
+526
+01:06:42,110 --> 01:06:44,970
+تمانية ال net area
+
+527
+01:06:55,340 --> 01:07:02,480
+الـ net area هتكون
+
+528
+01:07:02,480 --> 01:07:09,440
+اندي واحد و خمسين ال net area واحد و خمسين هدي
+
+529
+01:07:09,440 --> 01:07:14,880
+كلها واحد و خمسين في عشر أقل سالب خمسة meter
+
+530
+01:07:14,880 --> 01:07:17,380
+square واحد و خمسين في عشر أقل سالب خمسة meter
+
+531
+01:07:17,380 --> 01:07:23,680
+square مع أن الارتفاع هذا هيكون
+
+532
+01:07:23,680 --> 01:07:24,340
+كام؟
+
+533
+01:07:26,720 --> 01:07:33,320
+هسمي h انا تيمين احنا
+
+534
+01:07:33,320 --> 01:07:37,920
+رادي حسبنا تيمين بواحدة النيوتن متر هحسبها بواحدة
+
+535
+01:07:37,920 --> 01:07:49,520
+ال .. هحولها لأطول هذه
+
+536
+01:07:49,520 --> 01:07:54,120
+كلها اتنين اربعة باي معناه ان هذا الارتفاع h هسميه
+
+537
+01:07:55,090 --> 01:08:03,650
+او الارتفاع H او خلينا نسميه GF الارتفاع GF حيكون
+
+538
+01:08:03,650 --> 01:08:13,410
+ساوي عند 51 في عشرة أس سالب خمسة
+
+539
+01:08:13,410 --> 01:08:19,230
+على أربعة
+
+540
+01:08:19,230 --> 01:08:19,630
+باى
+
+541
+01:08:23,690 --> 01:08:33,650
+اللي هو هذا gf مساعة
+
+542
+01:08:33,650 --> 01:08:44,630
+المثلثة اللي هي a3 a3 a3 بتساوي نص
+
+543
+01:08:44,630 --> 01:08:50,130
+مثلثة في هذه المسافة by
+
+544
+01:08:57,140 --> 01:09:01,120
+في a g في
+
+545
+01:09:01,120 --> 01:09:06,680
+a g معناته
+
+546
+01:09:06,680 --> 01:09:17,080
+a g حسة و a تلاتة عنده اللي هي خمسة تمانين في عشرة
+
+547
+01:09:17,080 --> 01:09:22,460
+أس سالب خمسة في
+
+548
+01:09:22,460 --> 01:09:25,520
+اتنين على باي
+
+549
+01:09:31,620 --> 01:09:37,040
+يعني هتكون مية و سبعين في
+
+550
+01:09:37,040 --> 01:09:44,600
+عشرة السالب خمسة على باي هذا الاج هذا هيكون عندي
+
+551
+01:09:44,600 --> 01:09:50,360
+واحد و خمسين على أربعة واحد و خمسين على أربعة
+
+552
+01:09:50,360 --> 01:09:57,500
+اتناش
+
+553
+01:09:57,500 --> 01:09:58,560
+مون سبعة خمسة
+
+554
+01:10:06,550 --> 01:10:20,970
+على باى معناته
+
+555
+01:10:20,970 --> 01:10:28,810
+انا بدى طول AF AF هيكون
+
+556
+01:10:28,810 --> 01:10:33,510
+عنده AG minus
+
+557
+01:10:33,510 --> 01:10:34,450
+GF
+
+558
+01:10:36,860 --> 01:10:41,600
+الـ AG اللي هو مية و سبعين في عشر أقل سالب خمسة
+
+559
+01:10:41,600 --> 01:10:50,800
+على باي minus GF اتناش point سبعة خمسة في عشر أقل
+
+560
+01:10:50,800 --> 01:10:57,560
+سالب خمسة على باي هيساوي مية و سبعين ناقص اتناش
+
+561
+01:10:57,560 --> 01:10:58,420
+point سبعة خمسة
+
+562
+01:11:05,960 --> 01:11:15,480
+حصة مية و سبعة و خمسين و ربع على
+
+563
+01:11:15,480 --> 01:11:19,060
+باي هدقاش
+
+564
+01:11:19,060 --> 01:11:30,820
+ال AF الان عند المثلثين A D E و A B C متشابهين عند
+
+565
+01:11:30,820 --> 01:11:48,840
+المثلثينA D A و A B C Similar معناه
+
+566
+01:11:48,840 --> 01:11:54,880
+تحكونا من دي دي ايه على
+
+567
+01:11:54,880 --> 01:12:00,320
+بي سي بس او A F
+
+568
+01:12:03,290 --> 01:12:08,050
+على ag يعني
+
+569
+01:12:08,050 --> 01:12:14,250
+ال دي اي على
+
+570
+01:12:14,250 --> 01:12:20,850
+بي سي اللي هي باي بتساوي
+
+571
+01:12:20,850 --> 01:12:24,270
+ال اي اف اللي هو
+
+572
+01:12:31,250 --> 01:12:36,170
+اللي ألف اللي هو مية و سبعة و خمسين point اتنين
+
+573
+01:12:36,170 --> 01:12:45,570
+خمسة و ال .. و ال .. و ال AJ اللي هو مية و سبعين
+
+574
+01:12:45,570 --> 01:12:49,070
+انا طبعا حزفت العشرة الخمسة و ال by على مية و
+
+575
+01:12:49,070 --> 01:12:53,210
+سبعين معناته ال DE
+
+576
+01:12:56,970 --> 01:13:12,790
+هتكون سوى 157.25 سوى
+
+577
+01:13:12,790 --> 01:13:16,050
+0.925
+
+578
+01:13:16,050 --> 01:13:21,470
+في باي هذا ال دي ايه المعنى هو ال fluctuation of
+
+579
+01:13:21,470 --> 01:13:30,640
+energy دلتا ايههيستوى نص مساحة المثلث نص دي اي في
+
+580
+01:13:30,640 --> 01:13:38,880
+اي اف هيستوى نص دي اي اللي هي point تسعة اتنين
+
+581
+01:13:38,880 --> 01:13:45,020
+خمسة by في ال اي اف وين ال اي اف اللي هو مية و
+
+582
+01:13:45,020 --> 01:13:52,150
+سبعة و خمسينمية و سبعة و خمسين point اتنين خمسة في
+
+583
+01:13:52,150 --> 01:13:58,910
+عشر السالم خمسة على باي لحظة
+
+584
+01:13:58,910 --> 01:14:05,470
+باي تروح مع باي طبعا هذه الواحدة هتطلع بال meter
+
+585
+01:14:05,470 --> 01:14:14,730
+square هكون عندي نص في نص يساوي
+
+586
+01:14:14,730 --> 01:14:16,190
+في مية و سبعة و خمسين
+
+587
+01:14:30,730 --> 01:14:40,850
+.2572.72810-5m2 عشان احولها لنيوتر متر هضربها 72
+
+588
+01:14:40,850 --> 01:14:51,300
+.72810-5 هضربها في 14فى عشرة اقل ستة هتستيقظ
+
+589
+01:14:51,300 --> 01:14:59,960
+بالنيوتن متر فى
+
+590
+01:14:59,960 --> 01:15:05,800
+اربعتاش فى
+
+591
+01:15:05,800 --> 01:15:10,800
+عشرة تطلع
+
+592
+01:15:10,800 --> 01:15:20,440
+عشر تلاف ومية واتنين وتمانين عشر تلافو مية و اتنين
+
+593
+01:15:20,440 --> 01:15:31,480
+و تمانين نيوتن متر دلتا اي عشر
+
+594
+01:15:31,480 --> 01:15:36,540
+تلاف و مية و اتنين و تمانين نيوتن متر انا باختار
+
+595
+01:15:36,540 --> 01:15:41,320
+طبعا انكوا هتحلوا وراي اتراجعوا و اذا في خطأ
+
+596
+01:15:41,320 --> 01:15:45,180
+الارقام اتعدلوها الان ال delta E
+
+597
+01:15:48,060 --> 01:15:58,940
+بتساوي I Omega Square في ال CS برضه
+
+598
+01:15:58,940 --> 01:16:15,140
+بتساوي I عبارة عن M R Square Omega Square CS احنا
+
+599
+01:16:15,140 --> 01:16:17,200
+بدنا ال I يعني ال I
+
+600
+01:16:21,730 --> 01:16:28,610
+هتساوي دلتا ايه عندي عشر تلاف ومية واتنين وتمانين
+
+601
+01:16:28,610 --> 01:16:36,890
+على omega حسبنا omega احنا omega اللي هي عشرة
+
+602
+01:16:36,890 --> 01:16:41,950
+point اربعة سبعة تربية
+
+603
+01:16:41,950 --> 01:16:47,130
+CS اللي هي point اربعة
+
+604
+01:16:53,490 --> 01:17:02,650
+هتطلع عند ال I هشر
+
+605
+01:17:02,650 --> 01:17:18,030
+تلاف و بية و اتنين و تمانين تقسم هتطلع
+
+606
+01:17:18,030 --> 01:17:22,070
+الفين و تلاتمية و اتنين و عشرين
+
+607
+01:17:26,180 --> 01:17:37,160
+kilogram meter square المطلوب
+
+608
+01:17:37,160 --> 01:17:47,200
+التاني المطلوب التاني المطلوب التاني المطلوب
+
+609
+01:17:47,200 --> 01:17:47,260
+التاني
+
+610
+01:18:00,160 --> 01:18:09,860
+بنحسب ال area ال cross sectional area ال
+
+611
+01:18:09,860 --> 01:18:19,680
+area او خلينا نحكي ال I بالسواق M R تربيع وال R
+
+612
+01:18:19,680 --> 01:18:26,480
+عبارة عن D على 2 يعني هتكون M D على 2 الكل تربيع
+
+613
+01:18:26,480 --> 01:18:28,920
+يعني هتكون السواق M
+
+614
+01:18:31,650 --> 01:18:54,830
+اللي تربية على أربعة طيب
+
+615
+01:18:54,830 --> 01:19:00,690
+ال area هتكون
+
+616
+01:19:06,350 --> 01:19:14,750
+م على باي دي في رو الان في عندي missing كما انا
+
+617
+01:19:14,750 --> 01:19:19,890
+انا مش معروف عند الدي هذا المشكلة بس بعطيهم ال
+
+618
+01:19:19,890 --> 01:19:27,530
+sigma ال sigma مش بالساوي ال sigma بالساوي ال
+
+619
+01:19:27,530 --> 01:19:33,400
+sigma الساوي ال sigma الساوي ال روالسجم بالساوية
+
+620
+01:19:33,400 --> 01:19:39,160
+رو ار سكوير اوميجا سكوير معناته الار سكوير او الار
+
+621
+01:19:39,160 --> 01:19:43,280
+سكوير الار هتكون
+
+622
+01:19:43,280 --> 01:19:54,260
+الجزر التربيعي ل .. ل واحد على اوميجا الجزر
+
+623
+01:19:54,260 --> 01:20:03,990
+التربيعي لسجم على رو يعني هتكونممكن اعمل الجزر
+
+624
+01:20:03,990 --> 01:20:09,770
+التربيعي ل سيجما اللي هي انه سبعة و نص ميجا سبعة و
+
+625
+01:20:09,770 --> 01:20:17,190
+نص في عشر اقل ستة روء الكثافة اللي هي تمانت تلاف و
+
+626
+01:20:17,190 --> 01:20:22,810
+مية و خمسين في
+
+627
+01:20:22,810 --> 01:20:30,790
+الامجا تربيع اللي هي عشرة point اربعة سبعة تربيع
+
+628
+01:20:32,950 --> 01:20:41,630
+و انها بحسب ال R capital يعني
+
+629
+01:20:41,630 --> 01:20:46,570
+عندي
+
+630
+01:20:46,570 --> 01:20:55,590
+سبعة و نص في عشرة و ستة سبعة و نص تقسيم
+
+631
+01:20:55,590 --> 01:20:58,690
+تمان تلاف و مية و خمسين
+
+632
+01:21:11,710 --> 01:21:16,470
+تطلع اتنين بوينت تمانية تسعة سبعة ال R تطلع اتنين
+
+633
+01:21:16,470 --> 01:21:20,590
+بوينت تمانية
+
+634
+01:21:20,590 --> 01:21:31,290
+تسعة سبعة متر معناه ال D capital هتكون سوى اتنين R
+
+635
+01:21:31,290 --> 01:21:38,830
+هتكون اتنين و سبعة اربعة عشر اتنين و تسعة تسعة عشر
+
+636
+01:21:39,990 --> 01:21:46,590
+اتنين ب تمانية بسبعتاش اتنين في اتنين بخمسة متر
+
+637
+01:21:46,590 --> 01:21:56,570
+هتدي capital ال A هتكون
+
+638
+01:21:56,570 --> 01:22:07,930
+تساوي M على باي دي في رو هتساوي ال Mأنا بدي أحسب
+
+639
+01:22:07,930 --> 01:22:16,910
+ال M في الأول معناته ال M ال M بالسوء I على R
+
+640
+01:22:16,910 --> 01:22:24,670
+تربيع ال I عندي الفين و تلاتنية و اتنين و عشرين
+
+641
+01:22:24,670 --> 01:22:33,690
+على ال R اللي هي اتنين point تمانية تسعة سبعة
+
+642
+01:22:33,690 --> 01:22:35,230
+تربيع
+
+643
+01:22:55,350 --> 01:23:00,110
+بتطلع متين وسبع وسبعين kilogram متين وسبع وسبعين
+
+644
+01:23:00,110 --> 01:23:03,230
+kilogram
+
+645
+01:23:03,230 --> 01:23:09,030
+ال A هتكون
+
+646
+01:23:09,030 --> 01:23:18,340
+تساوي Mعلى باى دى ثروة الام اللى هى ميتين وسبعة
+
+647
+01:23:18,340 --> 01:23:29,720
+وسبعين على باى دى اللى هى خمسة point سبعة تسعة
+
+648
+01:23:29,720 --> 01:23:34,160
+اربعة ثروة تمان تلاف ومية وخمسين
+
+649
+01:24:02,150 --> 01:24:09,550
+تطلع point o o واحد
+
+650
+01:24:09,550 --> 01:24:17,170
+تمانية سبعة متر مربع بتساوي
+
+651
+01:24:17,170 --> 01:24:27,690
+اربعة في ال T يعني بتساوي بي في T بي في T و بي
+
+652
+01:24:27,690 --> 01:24:38,910
+بتساوي اربعة TT تربية بالسوابونت O 187
+
+653
+01:24:38,910 --> 01:24:43,010
+وينها بحسب ال T
+
+654
+01:25:06,920 --> 01:25:14,880
+بنت او اتنين واحد ستة بنت او اتنين اتنين ت تطلع
+
+655
+01:25:14,880 --> 01:25:24,420
+بنت او اتنين اتنين اتنين متر يعني بالملي اتنين و
+
+656
+01:25:24,420 --> 01:25:31,640
+عشرين ملي بيكون اربعة في ت اربعة اتنين و عشرين
+
+657
+01:25:31,640 --> 01:25:32,480
+تمانية و تمانية
+
+658
+01:25:35,320 --> 01:25:45,440
+ملي ميتا هيك
+
+659
+01:25:45,440 --> 01:25:50,160
+منكون خلصنا ال chapter لل term moment diagram و ال
+
+660
+01:25:50,160 --> 01:25:54,420
+fly wheels ال exam اتطلعت عليها اشوف حالة في
+
+661
+01:25:54,420 --> 01:25:57,440
+الكتاب ممكن المعيد ساعدكوا فيها اي حد نحتاج
+
+662
+01:25:57,440 --> 01:26:00,980
+استفسار يتواصل معاه يعطيكوا العافية السلام عليكم
+