Classical Mechanics
Classical Mechanics
Fundamentals of Dynamics (Reference frames. Inertial frames; Galilean transformations; Galilean invariance. Review of Newton's Laws of Motion. Dynamics of a system of particles. Centre of Mass. Angular momentum of a system of particles, Principle of conservation of linear and angular momentum. Impulse. Momentum of variable-mass system: motion of rocket): Link
Work and Energy: (Work and Kinetic Energy Theorem. Conservative and non-conservative forces. Potential Energy. Energy diagram. Stable and unstable equilibrium. Elastic potential energy. Force as gradient of potential energy. Work & Potential energy. Work done by non-conservative forces. Law of conservation of Energy.) Link
Moment of Inertia: (Moment of Inertia. Calculation of moment of inertia for rectangular, cylindrical and spherical bodies. Kinetic energy of rotation. Motion involving both translation and rotation) Link
Oscillations (Introduction to oscillations, simple harmonic motion(SHM), equation of motion of SHM, energy of SHM, damped harmonic motion (DHM), energy of DHM, forced harmonic motion and its energy, resonance, sharpness of resonance, quality factor : Link
Superposition of SHM (Linearity and superposition, superposition of two colinear and two perpendicular harmonic oscillations, Lissajous figures):Â Link
Special theory of relativity (Michelson-Morley experiment, postulates of special theory of relativity, Lorentz transformations, simultaneity and order of events, length contraction, time dilation, relativistic transformation and addition of velocities, variation of mass with velocity, mass-energy equivalence, transformation of energy and momentum): Link