312 Phys.

Energy and Momentum: Conservative forces, Moments, central forces, calculus of variation. Central conservative forces: Inverse square law, orbits, gravitational potential. Non-inertial reference frames and inertial forces. Two- and Three body systems. Rigid bodies: rotation about axes, effects of small forces. Lagrangian mechanics: action, principle of least action, generalized coordinates, Lagrange equations. Hamiltonian mechanics: Hamilton’s equations of motion, Liouville’s theorem. Small oscillations: orthogonal coordinates, normal modes, and coupled oscillators.

:Text Book

Classical Dynamics of Particles And Systems By S
Thornton And J. Marion, Brooks Cole; 5th Edition (2003).