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Term 1
Statics prerequisites: friction, the resultant reaction and the angle of friction, equilibrium on rough horizontal and inclined planes; Unit 1 Moments: the moment of a force about a point, Varignon’s principle and the theorem of moments; Unit 2 Coplanar forces: the resultant of parallel forces, equilibrium of a rigid body under coplanar forces (boards, rods, ladders); Unit 3 Couples: the couple and its moment, equivalent couples, a system equivalent to a couple and the resultant couple
1
مراجعة الاحتكاك: السطوح الخشنة والمعامل μ وزاوية الاحتكاك
Statics prerequisites (Sec 2 friction revisited): smooth and rough surfaces, static friction and its limit, the coefficient of friction, kinetic friction, the resultant reaction and the angle of friction, equilibrium of a body on a rough horizontal plane and on a rough inclined plane
2
عزم القوة: التأثير الدوراني والإحداثيات ومبدأ فارينيون
Moments: the turning effect of a force about a point, moment arm and sign, the moment from coordinates, and Varignon’s principle
3
نظرية العزوم، وقوى على أضلاع مستطيل، واستنتاجات من عزمين عند نقطتين
Moments: the theorem of moments for forces meeting at a point, forces along the sides of a rectangle or square, and equal or opposite moments about two points
4
عزوم أي مجموعة قوى مستوية، والآلات، ومسائل متنوعة
Moments: the general statement for a system of coplanar forces, moments in machines and mixed problems with unknowns
5
القوى المتوازية: متحدة الاتجاه ومتضادة ونظرية العزوم
Parallel coplanar forces: the resultant of two like forces, of two unlike forces, and the theorem of moments for parallel forces
6
محصلة عدة قوى متوازية
Parallel coplanar forces: an unknown force from the resultant, sums of moments of parallel forces, and the resultant of several parallel forces
7
تحريك إحدى القوتين والقوى المعطاة بالمتجهات وتدريبات
Parallel coplanar forces: moving one force, parallel forces given as vectors, and practice with resultants and balance points
8
شرطا الاتزان: ألواح وقضبان وخيوط
Equilibrium of coplanar forces: the two conditions (zero resultant and zero moment), a board on two supports, and a rod on two strings
9
ألواح غير منتظمة وقضبان محملة وساق على وتد
Equilibrium of coplanar forces: a non-uniform board, rods and loads with unknown forces, and a bar on rough ground and a smooth wedge
10
السلالم والقضبان المسندة إلى حائط
Equilibrium of coplanar forces: ladders on rough ground and a smooth wall, a ladder held by a rope, and a rod about to slip
11
الازدواجات وعزومها
Couples: two equal opposite forces, the moment of a couple, its independence of the point, and equilibrium under several couples
12
إلغاء الازدواجات والأجسام المعلقة والازدواجات المتكافئة
Couples: cancelling a couple, a hanging body with a couple acting on it, equivalent couples and the exercises of Lesson 3-1
13
النظم المكافئة لازدواج
Resultant couple: a system equivalent to a couple, forces along the sides of a triangle, and of a closed polygon
14
قاعدة النقاط الثلاث والازدواج المحصل
Resultant couple: the three-point rule, the sum of several couples, and the exercises of Lesson 3-2
15
مراجعة الفصل الأول: العزوم والقوى المتوازية والاتزان والازدواجات
Term 1 review: moments, parallel forces and equilibrium of rods and ladders, couples
☰ Year plan · Applied Mathematics (Arabic)
Egypt
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Secondary 3
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Applied Mathematics (Arabic)
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Week 2
عزم القوة: التأثير الدوراني والإحداثيات ومبدأ فارينيون
Week 2 · Moments: the turning effect of a force about a point, moment arm and sign, the moment from coordinates, and Varignon’s principle · 3 lessons
Lesson 1
Lesson 2
Lesson 3
Quiz
8
Homework
5
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Week 2 ·
مبدأ فارينيون: عزم القوة يساوي مجموع عزمي مركبتيها، ومثال محلول بطريقتين
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Week 2 · Homework
