A point mass m is attached to a weightless string fixed to a cylinder (radius R). Initially, the string is fully wound, causing the mass to touch the cylinder. The impulse toward radial direction is now given to the mass that is beginning to unravel. Required:
a. Setup the equation of motion in terms of generalized coordinators.
b. find the general solution satisfying the initial condition
c. Find the angular momentum of the mass about the cylinder axis (please use the result of (b)).