Problem 1 A solid cylinder is rolling down an inclined plane. The radius of the cylinder is 0.2111. and its mass is 2.0kg. The plane makes a 30 with the horizontal. (a) Draw an extended free-body diagram, identifying and labeling all the forces that act on the cylinder. (1)) 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 m, what are the cylinder's total kinetic energy and angular momentum at the bottom of the ramp