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A uniform spherical shell of mass M = 8.60 kg and radius R = 0.440 m can rotate about a vertical axis on frictionless bearings

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A uniform spherical shell of mass M = 8.60 kg and radius R = 0.440 m can rotate about a vertical axis on frictionless bearings (see the gure). A massless cord passes around the equator of the shell, over a pulley of rotational inertia l = 0.200 kg-m2 and radius r = 0.0560 m, and is attached to a small object of mass m = 4.20 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 0.821 m after being released from rest? Use energy considerations. Number I Units v

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