course
312 Phys.
Energy and Momentum: Conservative
forces, Moments, central forces, calculus of
variation.
Central conservative forces: Inverse squarelaw, 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.