A large horizontal disk is rotating on a vertical axis through its center. Its moment of inertia

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A large horizontal disk is rotating on a vertical axis through its center. Its moment of inertia is I = 4000 kg · m2. The disk is revolving freely at a rate of 0.150 rev/s when a 90.0-kg person drops straight down onto it from an overhanging tree limb. The person lands and remains at a distance of 3.00 m from the axis of rotation. What will be the rate of rotation after the person has landed?

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