A hollow sphere with a mass 4.3 kg and radius 14.9 cm is released from height 1.0 m from the top of an incline. The angle of the inclined plane is o = 35° with respect to the horizontal. What is the speed of the sphere at the base of the incline.... (a) in the case that it slides frictionlessly witout rolling. (b) in the case that it rolls without slipping (c) Compare the time intervals required to reach the bottom in cases (a) and (b). (Hint: For this part, you can use Newton's Second Law for linear and rotational motion.)

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter11: Angular Momentum
Section: Chapter Questions
Problem 27P: A solid cylinder of radius 10.0 cm rolls down an incline with slipping. The angle of the incline is...
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A hollow sphere with a mass 4.3 kg and radius 14.9 cm is released from height 1.0 m
from the top of an incline. The angle of the inclined plane is = 35° with respect to
the horizontal. What is the speed of the sphere at the base of the incline....
(a) in the case that it slides frictionlessly witout rolling.
(b) in the case that it rolls without slipping
(c) Compare the time intervals required to reach the bottom in cases (a) and (b).
(Hint: For this part, you can use Newton's Second Law for linear and rotational
motion.)
Transcribed Image Text:A hollow sphere with a mass 4.3 kg and radius 14.9 cm is released from height 1.0 m from the top of an incline. The angle of the inclined plane is = 35° with respect to the horizontal. What is the speed of the sphere at the base of the incline.... (a) in the case that it slides frictionlessly witout rolling. (b) in the case that it rolls without slipping (c) Compare the time intervals required to reach the bottom in cases (a) and (b). (Hint: For this part, you can use Newton's Second Law for linear and rotational motion.)
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