A horizontal vinyl record of radius 00786 m rotates freely, Physics

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A horizontal vinyl record of radius 00786 m rotates freely

A horizontal vinyl record of radius 0.0786 m rotates freely about a vertical axis during its center with an angular speed of 4.59 rad/s. The rotational inertia of the record about its axis of rotation is 2.54 x 10^-4 kg·m². A wad of wet putty of mass 42.8 g drops vertically onto the record from above and sticks to the edge of the record. What is the angular speed of the record immediately after the putty sticks to it?

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Physics: A horizontal vinyl record of radius 00786 m rotates freely

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