How Does a Bowling Ball Accelerate Up a Ramp?

AI Thread Summary
The discussion focuses on the physics of a bowling ball rolling up a ramp inclined at an angle beta. The acceleration of the ball's center of mass is calculated as gsinB/(7/5). To determine the minimum coefficient of static friction required to prevent slipping, participants suggest using the relationship between the acceleration, normal force, and frictional force. The formula \mu_static ≥ F/N is recommended for calculating the minimum static friction coefficient. Understanding these dynamics is crucial for solving the problem accurately.
cuman12
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A bowling ball rolls without slipping up a ramp that slopes upward at an angle beta to the horizontal. Treat the ball as a uniform, solid sphere, ignoring the finger holes.

What is the acceleration of the center of mass of the ball?
Express your answer in terms of the variable beta and appropriate constants.

I got this part:
gsinB/(7/5)

What minimum coefficient of static friction is needed to prevent slipping?
Express your answer in terms of the variable beta and appropriate constants.

Any suggestions for this part?
 
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If you got the acceleration of C (center of mass), you should be able to calculate the normal force N and the frictional force F, right? We have \mu _{static}\geq F/N, and you get the minimum static friction coefficient.
 
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