Question: A uniform spherical shell of mass M = 4.5 kg and radius R = 8.5 cm can rotate about a vertical axis on frictionless bearings

A uniform spherical shell of mass M = 4.5 kg and radius R = 8.5 cm can rotate about a vertical axis on frictionless bearings (Figure). A massless cord passes around the equator of the shell, over a pulley of rotational inertia I = 3.0 x 10-3 kg-m2 and radius r = 5.0 cm, and is attached to a small object of mass m = 0.60 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 82 cm after being released from rest? Use energy considerations.

M, R I, r

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From Table the rotational inertia of the spherical shell is 2MR3 so the kinetic energy after ... View full answer

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