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UNIT-I

1. Vector Analysis

Scalar and vector fields, Gradient of a scalar field and its physical significance. Divergence and curl of a

vector field and related problems. Vector integration, Line, Surface and volume integrals. Stokes, Gauss

and Greens theorems – Simple applications.

UNIT-II

2. Mechanics of Particles

Laws of motion, Motion of variable mass system, Motion of a rocket, Multi-stage rocket, Conservation of

energy and momentum. Collisions in two and three dimensions, Concept of impact parameter, Scattering

cross-section.

3. Mechanics of Rigid Bodies

Definition of rigid body, Ratational kinematic relations, Equation of motion for a rotating body, Angular

momentum and inertial tensor. Euler’s equation, Precession of a top, Gyroscope.

UNIT-III

4. Central Forces

Central forces – Definition and examples, Conservative nature of central forces, Conservative force as

a negative gradient of potential energy, Equation of motion under a central force, Gravitational potential

and gravitational field, Motion under inverse square law, Derivation of Kepler’s laws, Coriolis force and

its expressions.

UNIT-IV

5. Special Theory of Relativity

Galilean relativity, Absolute frames, Michelson-Morley experiment, Postulates of special theory of relativity.

Lorentz transformation, Time dilation, Length contraction, Addition of velocities, Mass-energy relation.

Concept of four vector formalism.