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A uniform spherical shell of mass M and radius R rotates about a vertical axis on frictionless bearing as shown in figure. A massless

 

A uniform spherical shell of mass M and radius R rotates about a vertical axis on frictionless bearing as shown in figure. A massless cord passes around equator of the shell over a pulley of rotational inertia I and radius r and is attached to a small object of mass m that is otherwise free to fall under influence of gravity. There is no friction of pulley axle. The cord does not slipon the pulley the speed of object after it has fallen a distance h from rest is

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