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# A uniform spherical shell of mass M =45 kg and radius R = 8.5 cm with moment of inertia HMR? can rotate about a vertical axis 0n frictionless bearings. massless cor...

## Question

###### A uniform spherical shell of mass M =45 kg and radius R = 8.5 cm with moment of inertia HMR? can rotate about a vertical axis 0n frictionless bearings. massless cord passes around the equator of the shell, over & pulley of rotational moment of inertia [ = 3x 10 kg . m? and radius r = 5 cm; and is attached to a small box of mass m 0.6 kg: There is n0 friction 0n the pulley's axle; the cord does not slip 0n the pulley: Use conservation of energy to answer the following: what is the speed

A uniform spherical shell of mass M =45 kg and radius R = 8.5 cm with moment of inertia HMR? can rotate about a vertical axis 0n frictionless bearings. massless cord passes around the equator of the shell, over & pulley of rotational moment of inertia [ = 3x 10 kg . m? and radius r = 5 cm; and is attached to a small box of mass m 0.6 kg: There is n0 friction 0n the pulley's axle; the cord does not slip 0n the pulley: Use conservation of energy to answer the following: what is the speed of the box when it has fallen 82 cm after being released from rest? (Hint: the speed of the box is the same a8 the speed of a point 01 the equator of the sphere which is v Rw. It is also the same as the speed of a point on the outer radius of the pulley rw) M, R

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