A uniform spherical shell of mass M and radius R rotates about a vertical axis on frictionless bearing. A massless cord passes around the equator of the shell

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A uniform spherical shell of mass M and radius R rotates about a vertical axis on frictionless bearing. A massless cord passes around the 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 the influence of gravity. There is no friction of pulley’s axle; the cord does not slip on the pulley. What is the speed of the object after it has fallen a distance h from rest? Use work-energy considerations.
29
Sep
A uniform spherical shell of mass M and radius R rotates about a vertical axis on frictionless bearing. A massless cord passes around the 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 [...]
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Tags: A uniform rod of mass m and length l which can rotate freely in vertical plane without friction , A uniform spherical shell of mass M and radius R rotates about a vertical axis on frictionless bearing. A massless cord passes around the equator of the shell , is hinged at its lower end on a tablev . A sphere of mass m and radius R = l/3 is placed in contact with the vertical rod annd a horizontal force F is applied at the upper end of the rod. ,