Solving Friction Problems on an Incline: A Cal-Trig Guide

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SUMMARY

This discussion focuses on solving friction problems on an incline using principles from calculus and trigonometry. A specific scenario is presented involving a 4.33 kg block sliding down a 25.8-degree incline with a coefficient of kinetic friction of 0.481. Key calculations include determining the work done by gravity, friction, and the normal force, emphasizing the importance of drawing a free body diagram to visualize forces acting on the block. The equation for frictional force, Ffriction = μN, is highlighted as essential for solving these problems.

PREREQUISITES
  • Understanding of basic physics concepts such as forces and motion.
  • Familiarity with trigonometric functions and their application in physics.
  • Knowledge of free body diagrams and their role in analyzing forces.
  • Basic understanding of kinetic friction and its calculation.
NEXT STEPS
  • Learn how to calculate work done by various forces in physics problems.
  • Study the principles of free body diagrams in detail.
  • Explore the relationship between friction and normal force in inclined planes.
  • Investigate advanced problems involving multiple forces and inclines.
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for effective teaching strategies for friction and inclined plane problems.

lostinthespiral
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I am having real problems understanding friction and how it relates to problems. Right now all I have to work with is a Cal-oriented book, but the class I'm in is taught with just Trig. I am completely lost. Your help would be greatly appreciated.

Starting from rest, a 4.33 kg block slides 2.82 m down a rough 25.8 degree incline. The coeficient of kinetic friction between the block and the incline is 0.481. The acceleration of gravity is 9.8 m/s2.

a.) Find the work done by the force of gravity. Answer in units of J.
b.) Find the work done by the friction force between block and incline. Answer in units of J.
c.) Find the work done by the normal force. Answer in units of J.
 
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Well, what have you done??

Did you draw the free body diagram?
 
Yupp - cyclovenom said it - Draw a free diagram - label all the forces, including the normal force and the force parallel to the surface.

Remember from the last problem I helped u with that

[tex]F_{friction} = \mu N[/tex]
 

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