**PH-304 Classical Mechanics**

- Functions, power series representation of an arbitrary function, kinematics, div, grad, curl. Basic theorems (Gauss, Green).
- Cylindrical and polar coordinates, expressions for velocity and acceleration, coordinate transformations, rotating reference frames.
- Newton’s laws, momentum, impulse of a force, applications.
- One-dimensional simple harmonic oscillator, damped SHO, forced SHO, resonance, 3-D SHO, response to several forces applied simultaneously, linear superposition principle.
- Potential energy, conservative and non-conservative forces.
- Motion in electromagnetic fields, cyclotron motion, motion in crossed electric and magnetic fields.
- Rotating coordinate systems, fictitious forces.
- Angular momentum and central forces, planetary motion under inverse-square force, constants of motion, Kepler’s Laws, orbital transfers and gravitational boosts, radial oscillations about a circular orbit.
- Systems of particles, motion with a variable mass, rocket motion.
- Collisions, center of mass frame, elastic and inelastic collisions.
- Rotations, angular momentum, moment of inertia and theorems, the inertia tensor, principal axes, diagonalization.
- Principle of least action, Brachistrochrone problem.
- Generalized coordinates, Lagrangian mechanics, generalized forces, Hamilton’s principle, Hamilton’s equations.
- Coupled oscillations, normal modes, CO2 oscillation modes.

**Recommended texts:**

*Classical Dynamics of Particles and Systems*, by Stephen T. Thornton and Jerry B. Marion, publisher: Brooks Cole; 5th revised edition, (2006).*Classical Mechanics*, by Herbert Goldstein, publisher: Safko and Poole, 3rd Edition (2006).*Classical Mechanics,*by John R. Taylor, publisher: University Science books, (2005).*Classical Mechanics*by L. Chow, publisher John Willey (1995).