(hrw8c10p66) A uniform spherical shell of mass M = 4.0 kg and radius R = 14.0 cm

Question

(hrw8c10p66) A uniform spherical shell of mass M = 4.0 kg and radius R = 14.0 cm rotates about a vertical axis on frictionless bearings (see the figure). A massless cord passes around the equator of the shell, over a pulley of rotational inertia I = 2.00

A uniform spherical shell of mass M = 4.0 kg and radius R = 14.0 cm rotates about a vertical axis on frictionless bearings (see the figure). A massless cord passes around the equator of the shell, over a pulley of rotational inertia I = 2.00A?10^-3 kg m^2 and radius r = 5.0 cm, and its attached to a small object of mass m = 5.0 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 after it has fallen a distance h = 1.4 m from rest: Use work - energy considerations.

Explanation / Answer

The rotational kinetic energy of the pulley and the sphere is equal to the gravitational potential energy of the falling object.

Kp+ Ks = U

[(1/2) (2.00

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