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Science · Physics
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A uniform spherical shell of mass M = 18.0 kg and radius R = 0.400 m can rotate about a vertical axis on frictionless bearings (see the figure). A massless cord passes around the equator of the shell, over a pulley of rotational inertia I = 0.230 kg·m2 and radius r = 0.0920 m, and is attached to a small object of mass m = 4.90 kg. There is no friction on the pulley's axle; the cord does not slip on the pulley. What is the speed of the object when it has fallen a distance 0.513 m after being released from rest? Use energy considerations.

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