A ball of mass m is tied to a vertical (Cyclinder) post of radius R. The mass slides on a frictionless, horizontal surface. As the ball travels around the post the string wraps around the post, shortening the length. At t = 0s, its speed is V(initial) and the distance from the axis of rotation is r(initial). Assume the ball is a point particle when calculationg its inertial mass.
1. As the string wraps its way around the post, what quantities are preserved? Explain.
2. What is the angular momentum of the ball after the string has wrapped once around the post?