(1) (a) A solid cylinder having mass m and radius R rolls down on a wedge without slipping (gure below). (i) Draw an accurate force diagram indicating all the forces exerting on m. [3%] (ii) What is the angular acceleration and the linear acceleration of m? [7%] The moment ofinertia ofthe cylinder is mRZ/Z. (b) The cylinder initially spinning with the angular velocity am is now placed on the wedge (gure shown below). The coefficient of kinetic friction between the cylinder and the wedge surface is p. Draw a force diagram indicating all the forces exerting on the cylinder just after it is placed on the wedge. Find the corresponding acceleration and angular acceleration of m, as well as their directions. [10%]