A solid disk of mass 3 kg, radius 0.5 m, and initial angular velocity 10 rad/sec is dropped onto an initially stationary second disk having the same radius and twice the mass. The second disk cannot fall, but is free to rotate. The disks stick and rotate together. Assume that there are no external torques. Please find each of the following.
a) The kinetic energy of the first disk before it is dropped
b) The final angular velocity of the combined disks
c) The final kinetic energy of the combined disks