A uniform disk of mass 10m and radius 3.0r can rotate freely aboutits fixed center like a merry-go-round. A smaller uniform disk of mass m and radius r lies on top of the larger disk, concentric withit. Initially the two disks rotate together with an angularvelocity of 33 rad/s. Then a slight disturbance causes the smallerdisk to slide outward across the larger disk, until the outer edgeof the smaller disk catches on the outer edge of the larger disk.Afterwards, the two disks again rotate together (without furthersliding).
a) What then is their angular velocity about the center of the larger disk?
b) What is the ratio K/K0 of the new kinetic energy of thetwo-disk system to the system's initial kinetic energy?