answer the questions and show work

3 m R M a. Draw a free body diagram for each mass. (8 points) b. Derive an expression for the tangential velocity of the mass m. (8 points) c. Suppose that the radius R is quadrupled. (6 points) Derive an expression for the new tangential velocity of the mass m. d. Suppose that suddenly the mass M vanishes at the instant that m reaches its current location. Trace the path of m after M disappears. (6 points)