Learn · Newtonian Mechanics with Examples
Lecture 34 of 44Week 7
Translation and rotation of rigid bodies - I (centre of mass)
Prof. Shiladitya Sengupta · IIT Roorkee
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All the lectures
- Scalars, vectors and tensors - I (basic definitions)
- Scalars, vectors and tensors - II (most general definition)
- Scalars, vectors and tensors - III (unit vector, dot product)
- Scalars, vectors and tensors - IV (cross product, triple product)
- Review of Newton’s laws of motion - I (tools for analysis)
- Review of Newton’s laws of motion - II (third and second law)
- Review of Newton’s laws of motion - III (first law)
- Review of Newton's laws of motion - IV (how to draw free body diagram correctly)
- Statics: Mechanical equilibrium - I (force and torque balance)
- Statics: Mechanical equilibrium - II (force and torque balance - more examples)
- Statics: Mechanical equilibrium - III (rope like structures, nature of tension force)
- Statics: Mechanical equilibrium - IV (Massless, flexible suspension cable)
- Statics: Mechanical equilibrium - V (Massive flexible suspension cable)
- Statics: Mechanical equilibrium - VI (truss (framework) - nature of internal forces)
- Statics: Mechanical equilibrium - VII (truss (framework) - examples)
- Statics: Condition of mechanical equilibrium - I (truss - uniqueness of solution, beam with distributed load)
- Condition of mechanical equilibrium - II (truss - beam with distributed load)
- Statics: Condition of mechanical equilibrium - III (more examples, principle of virtual work, constrained motion)
- Condition of mechanical equilibrium - IV (constraints, degrees of freedom, work done by constrained force)
- Statics: Condition of mechanical equilibrium (d’Alembert - Lagrange principle of virtual work - statement and examples)
- Statics and Friction - I (Equivalence of principles of force, torque balance and virtual work, stability analysis)
- Statics and Friction - II (stability analysis, energy diagram technique)
- Statics and friction - III (between solids - Amonton-Coulomb laws, common misconceptions)
- Statics and friction - IV (between solids - worked out examples)
- Statics and friction - V (between solid and fluid - drag force)
- Statics and friction - VI (examples - projectile motion with drag force, tying a rope)
- Work-energy theorem, energy, momentum balance - I (in one dimension, importance of conservation laws)
- Work-energy theorem, energy, momentum balance - II (in higher dimensions, conservative forces)
- Work-energy theorem, energy, momentum balance - III (projectile motion in real-life)
- Work-energy theorem, energy, momentum balance - IV (Projectile motion - effect of lift and thrust force)
- Work-energy theorem, energy, momentum balance -V (rocket motion - comparing effect of thrust in deep space and at lift off)
- Work-energy theorem, energy, momentum balance -VI (Collisions in daily life - application of energy and momentum balance principles)
- Work-energy theorem, energy, momentum balance - VII (Collision at micro-meter, atomic and sub-atomic scales - Brownian motion, Compton effect)
- Translation and rotation of rigid bodies - I (centre of mass)
- Translation and rotation of rigid bodies - II (Centre of mass of composite objects)
- Translation and rotation of rigid bodies - III (moment of inertia)
- Translation and rotation of rigid bodies - IV (moment of inertia - 3D objects, composite objects, engineering applications)
- Translation and rotation of rigid bodies - V (Symmetry of mass distribution - product of inertia)
- Translation and rotation of rigid bodies - VI (Determining the principal axes of rotation and moment of inertia about them)
- Translation and rotation of rigid bodies - VII (Example of finding principal axes, introduction to rotation, the angular velocity vector)
- Translation and rotation of rigid bodies - VIII (the angular momentum vector)
- Translation and rotation of rigid bodies - IX (torque)
- Translation and rotation of rigid bodies - X (computing rules)
- Translation and rotation of rigid bodies - XI (examples of rolling, collision with rotation)