A uniform spherical shell of mass M = 7.70 kg and radius R = 0.910 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 / = 0.0960 kg-m² and radius r = 0.0910 m, and is attached to a small object of mass m = 1.20 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 1.50 m after being released from rest? Use energy considerations. Number i M, R ? Units 128
A uniform spherical shell of mass M = 7.70 kg and radius R = 0.910 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 / = 0.0960 kg-m² and radius r = 0.0910 m, and is attached to a small object of mass m = 1.20 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 1.50 m after being released from rest? Use energy considerations. Number i M, R ? Units 128
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Transcribed Image Text:A uniform spherical shell of mass M = 7.70 kg and
radius R = 0.910 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 / = 0.0960 kg⋅m² and radius r =
0.0910 m, and is attached to a small object of mass m
=
=
= 1.20 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 1.50 m after
being released from rest? Use energy considerations.
Number i
M, R
Units
728
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