Coefficient of friction of a moving car

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SUMMARY

The discussion centers on calculating the coefficient of friction required for a car moving at 5 m/s to navigate a flat corner with a radius of curvature of 8 m without skidding. The relevant equations include the centripetal force equation, Fc = mv²/r, and the frictional force equation, Fc = Fn(mk). Participants emphasize the importance of understanding Newton's second law to determine the necessary forces and acceleration to maintain control while turning.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Familiarity with centripetal force concepts
  • Knowledge of frictional force equations
  • Basic algebra for solving equations
NEXT STEPS
  • Calculate the centripetal acceleration for the given speed and radius
  • Determine the normal force acting on the car during the turn
  • Apply the equations to find the minimum coefficient of friction required
  • Explore real-world applications of friction in vehicle dynamics
USEFUL FOR

Students studying physics, automotive engineers, and anyone interested in the dynamics of vehicle motion and safety during cornering.

katem
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Homework Statement



A car moving at 5 m/s tries to round a flat corner that has a radius of curvature of 8 m. How large must the coefficient of friction be between the wheels and the roadway if the car is not to skid?

Homework Equations



mv^2/r i don't know anything else. Fc=Fn(mk)

The Attempt at a Solution


Don't really know where to start?


 
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Start with the frictional force providing the centripetal force.
 
Welcome to PF!

Hi katem! Welcome to PF! :smile:

(try using the X2 and X2 tags just above the Reply box :wink:)

Use good ol' Newton's second law …

what must the acceleration be? and what must the forces be, to produce that acceleration? :smile:
 

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