How Do You Calculate Frictional Forces on a Car on an Incline?

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SUMMARY

The discussion focuses on calculating frictional forces acting on a car weighing 10,700 N on a 32.5° incline. Each wheel supports a vertical force of 2,680 N, and the tire radius is specified as 35 cm while the brake radius is corrected to 20 cm. The frictional force exerted by the road on each wheel and the total frictional forces applied by the brakes are the primary calculations addressed. Accurate understanding of these forces is essential for solving the problem effectively.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of frictional force calculations
  • Familiarity with trigonometric functions related to angles
  • Basic principles of mechanics involving forces on inclines
NEXT STEPS
  • Study the calculation of frictional forces in inclined planes
  • Learn about the role of normal force in friction calculations
  • Explore the effects of tire and brake radius on frictional force
  • Investigate real-world applications of friction in automotive engineering
USEFUL FOR

Students studying physics, automotive engineers, and anyone interested in the mechanics of vehicles on inclines will benefit from this discussion.

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Homework Statement


A car weighing 1.07 104 N is at rest on a 32.5° incline. Each wheel bears an equal part of the car's weight. Thus the axles apply a vertical downward force of 2.68 103 N to the center of each wheel. The tire radius is 35 cm and the brake radius is 20sm
(a) Find the frictional force exerted by the road on each wheel.


(b) Find the sum of the magnitudes of the frictional forces fB applied by the brakes to the wheel, as shown in the figure below.



Homework Equations





The Attempt at a Solution

 

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what is 20sm?
 
SORRY IT SHOULD READ 20 cm
 

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