Spherical and Disk Pulleys with Falling Mass Due in 1 hour, 44 minutes A uniform spherical shell of mass M=2.50kg and radius R=32.0cm can rotate 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 times 10^(-3)kg*m^(2) and radius r=8.00cm solutionspile.com

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Spherical and Disk Pulleys with Falling Mass Due in 1 hour, 44 minutes A uniform spherical shell of mass

M=2.50kg

and radius

R=32.0cm

can rotate 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\times 10^(-3)kg*m^(2)

and radius

r=8.00cm

, and is attached to a small object of mass

m=2.00kg

. 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 2.00 m after being released from rest? Use energy considerations.

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