Solve the below problem:
Q: A drum of radius 4 in. is mounted on a cylinder of radius 5 in. A cord is wound around the drum, and its extremity D is pulled to the left with a constant velocity of 6 in./s, causing the cylinder to roll without sliding. Determine
(a) The angular velocity of the cylinder,
(b) The velocity of the center of the cylinder,
(c) The length of cord which is wound or unwound persecond.