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A child of mass m=45kg runs at a speed v=3m/s tangent to the rim of a...

A child of mass m=45kg runs at a speed v=3m/s tangent to the rim of a merry-go-round when it is at rest, and then jumps onto it. The merry-go-round has a mass M=140kg, a radius R=1.1m, and can be thought of as uniform disk. Neglecting friction in the bearings, find the angular velocity of the merry-go-round once the child jumped on.

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