A uniform spherical shell of mass M = 20.0 kg and radius R=0.360 m 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 /= 0.110 kg-m² and radius r = 0.0630 m, and is attached to a small object of mass m= 2.20 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 when it has fallen a distance 0.548 m after being released from rest? Use energy considerations. M. R
A uniform spherical shell of mass M = 20.0 kg and radius R=0.360 m 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 /= 0.110 kg-m² and radius r = 0.0630 m, and is attached to a small object of mass m= 2.20 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 when it has fallen a distance 0.548 m after being released from rest? Use energy considerations. M. R
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