How Does a Bowling Ball Accelerate Up a Ramp?

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SUMMARY

The discussion focuses on the physics of a bowling ball rolling up a ramp inclined at an angle beta. The acceleration of the center of mass of the ball is calculated as gsin(beta)/(7/5). To determine the minimum coefficient of static friction required to prevent slipping, participants suggest using the relationship μ_static ≥ F/N, where F is the frictional force and N is the normal force. This approach allows for the calculation of the necessary static friction coefficient based on the previously derived acceleration.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concepts of friction and normal force
  • Knowledge of rotational dynamics and solid sphere properties
  • Basic trigonometry for analyzing inclined planes
NEXT STEPS
  • Calculate the normal force on an inclined plane using N = mgcos(beta)
  • Explore the derivation of frictional force in rolling motion
  • Learn about the relationship between static friction and acceleration in rotational dynamics
  • Investigate the effects of different ramp angles on the motion of rolling objects
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Physics students, educators, and anyone interested in mechanics, particularly those studying rotational motion and friction in real-world applications.

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 [tex]\mu _{static}\geq F/N[/tex], and you get the minimum static friction coefficient.
 

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