A small blob of putty of mass m falls from the ceiling and lands on the outer

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A small blob of putty of mass m falls from the ceiling and lands on the outer rim of a turntable of radius R and moment of inertia I0 that is rotating freely with angular speed ωi about its vertical fixed symmetry axis.

(a) What is the post collision angular speed of the turntable plus putty?

(b) After several turns, the blob flies off the edge of the turntable. What is the angular speed of the turntable after the blob flies off?

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