Problem 1 A solid cylinder is rolling down an inclined plane. The radius of the cylinder is \"Em, and its mass is 21mg. The plane makes a 30\" with the horizontal. [3} Draw an extended free-body diagram, identifying and labeling all the forces that act on the cylinder. {b} What is the acceleration of the cylinder's center of mass? {c} What is the magnitude of the frictional force exerted on the cylinder? Is this static or kinetic friction? {d} Find the angular acceleration of the cylinder and the magnitude of the torque acting on it. What force is responsible for this torque? {e} Assuming that the cylinder starts from rest, and that the vertical drop is 1 n1, what are the cylinder's total kinetic energy and angular momentum at the bottom of the ramp