Unit - I
Physical Law and frame of Reference:
(a) Inertial and non-inertial frames, Coordinate transformation: transformation of displacement, velocity, acceleration between different frames of reference involving translation motion, Galilean transformation and invariance of Newton's laws.
(b) The Special theory of relativity: Postulates of STR (Special theory of relativity), the Lorentz transformation, transformation of velocity, acceleration, Length contraction, time dilation and its experimental evidence.
(c) Coriolis Force: Transformation of displacement, velocity and acceleration between rotating frame, Pseudo forces, Coriolis force, motion relative to earth, Foucault's pendulum.
(d) Conservative Forces: Introduction about conservative and non-conservative forces, rectilinear motion under conservative forces, discussion of potential energy curve and motion of a particle.
Unit -II:
Centre of Mass: Introduction about Centre of Mass, Centre of Mass Frame: Collision of two particles in one and two dimensions (elastic and inelastic), Slowing down of neutrons in a moderator, Motion of a system with varying mass, Angular momentum concept, conservation and charge particle scattering by a nucleus.
Rigid body: Equation of a motion of a rigid body, Inertial coefficient, Case of J not parallel to ω, the kinetic energy of rotation and the idea of principal axes, the processional motion of the spinning top.
Unit -III
Motion under Central Forces: Introduction about Central Forces, Motion under Central Forces, gravitational interaction, inertia and gravitational mass, General solution under gravitational interaction, Kepler’s laws, Discussion of trajectories: Cases of elliptical and circular orbits, Rutherford scattering.
Damped Harmonic Oscillations: Oscillations in a potential well, Damped force and motion under damping, Damped Harmonic Oscillator, Power dissipation, Anharmonic oscillator and simple pendulum as an example.
Unit-IV
Driven Harmonic Oscillations: Driven harmonic oscillator with damping, Frequency response, Phase relation, Quality factor, Series and parallel of LCR circuit, Electromechanical system: (Ballistic galvanometer).
Coupled Oscillations: Equation of motion of two coupled Harmonic Oscillators, Normal modes, motion in mixed modes and transient behaviour, Dynamics of many number of oscillators.