UNIT 1..........................................................................1
INTRODUCTION TO CLASSICAL MECHANICS
1.1 What is Classical Mechanics?
1.2 The place of Classical Mechanics in Physics and some basic definitions
1.3 Newton’s laws of motion
1.4 Force Laws and corresponding motions
1.5 Limitations of Newton’s laws

UNIT 2.......................................................................15
LAGRANGIAN AND HAMILTONIAN FORMULATION OF MECHANICS
2.1 Introduction
2.2 Constraints
2.3 Degrees of freedom
2.4 Generalized coordinates
2.5 Virtual Displacement
2.6 Virtual Work
2.7 D’ Alembert’s Principle
2.8 Illustrative problem
2.9 Lagrange’s Equations
2.10 Properties of Lagrange’s equations
2.11 Applications of Lagrange’s equations
2.12 Illustrative problem
2.13 Cyclic or ignorable coordinates
2.14 Conservation theorems
2.15 Phase space
2.16 Hamiltonian
2.17 Hamilton’s canonical equations of motion
2.18 Illustrative Problems

UNIT 3........................................................................40
MOTION IN CENTRAL FORCE FILED
3.1 Introduction
3.2 Central force
3.3 Properties of Central force
3.4 Reduction of two body problem into equivalent one body problem
3.5 Motion in a Central Force Field
3.6 General features of the motion
3.7 Motion in an inverse - square law force field
3.8 Equation of the Orbit
3.9 Nature of the orbits
3.10 Kepler’s Laws of Planetary motion
3.11 Illustrative problems