Find the kinetic friction of an object at an angle

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SUMMARY

The kinetic friction for a box weighing 87 lb being pulled with a force of 60 lb at a 15-degree angle is determined using the coefficient of kinetic friction of 0.35. The weight's components along and perpendicular to the inclined plane are essential for calculating the frictional force. The formula used is F = mgCos(alpha), where 'm' is the mass, 'g' is the gravitational acceleration, and 'alpha' is the angle of inclination. This analysis provides a clear understanding of how forces interact to produce kinetic friction in this scenario.

PREREQUISITES
  • Understanding of basic physics concepts such as weight, force, and friction.
  • Familiarity with trigonometric functions, particularly cosine.
  • Knowledge of Newton's laws of motion.
  • Ability to perform calculations involving angles and forces.
NEXT STEPS
  • Study the principles of static and kinetic friction in detail.
  • Learn how to resolve forces into components in inclined planes.
  • Explore the application of Newton's laws in real-world scenarios.
  • Investigate the effects of different coefficients of friction on motion.
USEFUL FOR

Students in physics courses, educators teaching mechanics, and anyone interested in understanding the dynamics of frictional forces in inclined planes.

Samantha Durrey
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A box weighing 87 lb is being pulled with a rope that exerts a force of 60. lb at an angle of 15 degrees with the horizontal. If the coefficient of kinetic friction is .35, what is the kinetic friction?
 
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Hello,

you see in this case weight mg have two componets along the plane and prependicular to plane. component along the plane tries to bring weight down the slide and the other component pushes the plane. As this component push plane, plane would also push it with same force unless plain would have deprssed. This resultant gives rise to friction.
F = mgCos(alpha)
Rest you can calculate. Hope this one helps.
 

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