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)).

I) a gas contained within a piston-cylinder assembly undergoes two processes, a and b, between the same end states, 1 and 2, where p1 = 10 bar, v1 = 0.1 m3 , u1 = 400 kj and p2 = 1 bar, v2 = 1.0 m3 , u2 = 200 kj: ' process a: process from 1 to 2 during which the pressure-volume relation is pv = constant. ' process b: constant-volume process from state 1 to a pressure of 2 bar, followed by a linear pressure-volume process to state 2. kinetic and potential energy effects can be ignored. for each of the processes a and b, a) sketch the process on a p-v diagram. b) evaluate the work, in kj. c) evaluate the heat transfer, in kj.(ans : qb,12 = -65.0 kj)