A hollow metal ball (mass = m, radius= R) rolls without slipping down a ramp that slopes down at an angle 8. a. Draw a clearly labeled free-body diagram of the ball. Which way does friction point, up the ramp or down the ramp? b. Use forces and torques to find an expression for the acceleration of the ball's center-of- mass, in terms of g and 0. c. Find an expression for the minimum coefficient of static friction needed to prevent slipping, in terms of g and 8.

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A hollow metal ball (mass = m, radius= R) rolls without slipping down a ramp that slopes down at an
angle 8.
a.
Draw a clearly labeled free-body diagram of the ball. Which way does friction point, up the
ramp or down the ramp?
b.
Use forces and torques to find an expression for the acceleration of the ball's center-of-
mass, in terms of g and 0.
c.
Find an expression for the minimum coefficient of static friction needed to prevent slipping,
in terms of g and 8.
Transcribed Image Text:A hollow metal ball (mass = m, radius= R) rolls without slipping down a ramp that slopes down at an angle 8. a. Draw a clearly labeled free-body diagram of the ball. Which way does friction point, up the ramp or down the ramp? b. Use forces and torques to find an expression for the acceleration of the ball's center-of- mass, in terms of g and 0. c. Find an expression for the minimum coefficient of static friction needed to prevent slipping, in terms of g and 8.
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