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A merry-go-round is rotating at an angular speed of 0.2 radians/s. Its motor falls off and it rotates freely. A technician jumps on the edge

A merry-go-round is rotating at an angular speed of 0.2 radians/s. Its motor falls off and it rotates freely. A technician jumps on the edge along the direction of the radius. The angular velocity after he lands is 0.04 radians/s. The moment of inertia of the technician, in (kg m2) with respect to the axis of the merry-go-round’s axis of rotation is 5000 kg m2 . What is the moment of inertia of the merry-go-round?

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