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A 3 kg disk of radius 0.25 m is rotating freely at an angular speed of...

A 3 kg disk of radius 0.25 m is rotating freely at an angular speed of 100 rad/s on a shaft passing through the center if mass of the disk. A 2 kg solid ball of the same radius, initially not rotating, slides down the shaft (the shaft passes through the ball's center of mass) and is coupled to the disk.

Assuming that the rotational inertia is of the shaft is negligible,

a) what is the angular speed of the disk-ball combination

b) How would the answer in (a) change if the ball dropped onto the disk next to the shaft and coupled to the disk?

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