Problem Set-II, PH-201
1. Consider the following Lagrangian,
L = (r 2 + r2 2 ) f (r)
b)Calculate the generalized momentum corresponding to (r, ) coordinates.
c) What are the symmetries of the Lagrangian and compute the corresponding conserved
Problem Set-1, PH-201
1. A bead slides without friction down a wire that has the shape y = x + 2 sin x. Wrtie down
the Lagrangian and the equation of motion of the bead. Consider gravity as an external force.
If the intial energy of the bead is 4 at t = 0
Problem Set-III, PH-201
1. A pendulum with a weightless string of length D and mass m is attached to a moving car as
shown. The car is continuously accelerated along a horizontal track with constant acceleration
a, starting from an initial horizontal velo