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You look down on a spinning disk with mass M and radius R. recall a disk...

You look down on a spinning disk with mass M and radius R. recall a disk has moment of inertial (1/2)MR^2. The disk is spinning on a frictionlessly (supported on a perfect air hockey table). The disk is spinning at 21.00rad/s. A hoop (at rest--not spinning) with the same mass and same radius is centered over the disk and dropped on the disk --- where the hoop sticks to the disk. What is the final angular speed (in Rad/s) of the disk and joop together after the rotationally ineleasic collision?

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