What is the friction force required for a wheel to roll without slipping?

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SUMMARY

The friction force required for a wheel to roll without slipping can be calculated using the given parameters: a pulling force of 200N, a wheel mass of 50 kg, and a radius of gyration of 0.07 m. The static friction coefficient (ms) is 0.20, and the kinetic friction coefficient (mk) is 0.15. The analysis reveals that the friction force at the wheel's ground contact point must be determined and compared to the maximum friction force (Fmax) to validate the rolling without slipping condition.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of static and kinetic friction coefficients
  • Familiarity with rotational dynamics and moment of inertia
  • Ability to apply equations of motion for rolling objects
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  • Calculate the maximum friction force (Fmax) using the static friction coefficient.
  • Explore the equations of motion for rolling without slipping.
  • Investigate the relationship between torque and friction in rolling objects.
  • Review case studies on friction in mechanical systems and their applications.
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kareem_3d
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A cord is wrapped around the inner drum of a wheel and pulled horizontally with a force of 200N. The wheel has a mass of 50 kg and a radius of gyration of 0.07 m. Let ms = 0.20 and mk = 0.15.
(a) Determine the friction force, F at the wheel ground contact point assuming that the wheel rolls without
slipping.
(b) Compare the friction force F found in (a) to Fmax and comment with respect to the rolling without slipping assumption

[PLAIN]http://img194.imageshack.us/img194/7377/ms2la.jpg
 
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Hi kareem_3d and welcome to PF. Please follow the rules of this forum and use the template when you seek help with homework. Show us the relevant equations and tell us what you tried and what you think about the problem. We just don't give answers away.
 

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