We wrap a light, non-stretching cable around a solid cylinder of mass 50 kg and diameter 0.120 m, which rotates in frictionless bearings about a stationary horizontal axis. We pull the free end of the cable with a constant 9.0-N force for 15 seconds; it turns the cylinder as it unwinds without slipping. The cylinder is initially at rest.

a) What is the torque applied on the cylinder? Include magnitude and direction.

b) What is the moment of inertia of the cylinder?

c) What is the angular acceleration of the cylinder when it rotates? Include magnitude and direction.

d) What is its final angular speed of the cylinder? Include magnitude and direction.

e) Find the final speed of the cable.

f) What is the final angular momentum of the cylinder?

g) What is the final rotational kinetic energy of the cylinder?