A 4.2-m-diameter merry-go-round is rotating freely with an angular velocity of 0.80 rad/s. Its total moment of

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A 4.2-m-diameter merry-go-round is rotating freely with an angular velocity of 0.80 rad/s. Its total moment of inertia is 1360 kg·m2. Four people standing on the ground, each of mass 65 kg, suddenly step onto the edge of the merry-go-round.

(a) What is the angular velocity of the merry-go-round now?

(b) What if the people were on it initially and then jumped off in a radial direction (relative to the merry-go-round)?

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