الرياضيات التطبيقية (بالعربية) · الصف الثالث الثانوي

15/15 أسبوعًا جاهزًا · Follows the order of the Statics part of the Egyptian Ministry of Education and Technical Education textbook Applied Mathematics (Mechanics), Third Form Secondary (Grade 12), as the plan for Term 1 (the statics prerequisites on friction, then three units and five lessons: Moments, Coplanar forces, Couples; printed pages 2–57; the English and Arabic editions are the same book; the Dynamics part, printed pages 58–159, is not part of this plan). All explanations, exercises and quizzes are Darslab’s own.

Term 1Statics 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

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

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

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

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

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

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

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

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

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

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

الازدواجات وعزومها Couples: two equal opposite forces, the moment of a couple, its independence of the point, and equilibrium under several couples

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

النظم المكافئة لازدواج Resultant couple: a system equivalent to a couple, forces along the sides of a triangle, and of a closed polygon

قاعدة النقاط الثلاث والازدواج المحصل Resultant couple: the three-point rule, the sum of several couples, and the exercises of Lesson 3-2

مراجعة الفصل الأول: العزوم والقوى المتوازية والاتزان والازدواجات Term 1 review: moments, parallel forces and equilibrium of rods and ladders, couples

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