A uniform solid cylinder A of mass m1 can freely rotate about a horizontal axis fixed to

Question:

A uniform solid cylinder A of mass m1 can freely rotate about a horizontal axis fixed to a mount B of mass m2 (Fig. 1.66). A constant horizontal force F is applied to the end K of a light thread tightly wound on the cylinder. The friction between the mount and the supporting horizontal plane is assumed to be absent. Find:
(a) The acceleration of the point K;
(b) The kinetic energy of this system t seconds after the beginning of motion.

A K B