Please answer all parts with work

M SCORE /18 23 A W 25 14 Name TOTAL SCORE PROBLEM 1 (18 pts) 1 80 = 100 pulley shaped like a uniform solid disk (radius R = 0.2 m and mass M = 5 kg) is able to rotate without friction about its axis of symmetry. A massless string wound around the disk is connected to a block of mass m = 3 kg suspended below. The block is released from rest. For simplicity, assume that as the pulley turns, the string does not slip around the pulley. Also, The moment of inertia of a uniform solid disk of mass M and radius R rotating about its center is ? MR. (A) (4 pts) Draw a free body diagram for the block and a force diagram for the pulley. m in any numbers). (B) (4 pts) Write Newton's 2nd law for translation (Fnet = ma) for the block. The equation should be symbolic (don't plug (C) (4 pts) Write Newton's 2nd law for rotation (Tnet = Ia) for the pulley. The equation should be symbolic (don't plug in any numbers). (D) (4 pts) Use your equations in (B) and (C) to calculate the acceleration of the block. Hint: You will need to use the connection between the linear acceleration of the block and the angular acceleration of the pulley. Acceleration = (E) (2 pts) Suppose the pulley was instead a shaped like a hoop (most of its mass close to the edge), but with the same mass and radius. In this situation: . The acceleration of the block would be smaller b. The acceleration of the block would be the same c. The acceleration of the block would be larger