Static friction on an inclined plane.

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SUMMARY

The discussion centers on the calculation of static friction on an inclined plane, specifically addressing the confusion between the equations f = mg cos(theta) and f = mg sin(theta). The correct equation for the frictional force, which opposes the motion of the block, is f = mg sin(theta), as this represents the component of gravitational force acting parallel to the incline. The participants clarify that the frictional force is distinct from the normal force, which acts perpendicular to the surface.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concepts of static friction and normal force
  • Knowledge of trigonometric functions related to angles
  • Basic principles of inclined planes in physics
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  • Study the derivation of forces on inclined planes in physics
  • Learn about the role of static friction in different scenarios
  • Explore the application of Newton's second law in inclined plane problems
  • Investigate the effects of angle of inclination on frictional forces
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for clear explanations of static friction concepts on inclined planes.

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Homework Statement



http://img124.imageshack.us/img124/9997/problem3.jpg



Homework Equations



f=mgcos theta


The Attempt at a Solution


I am thinking the answer is f = mgcos theta because gravity only acts on y-component but the answer is f=mgsin theta . Can anyone explain?
 
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In the problem, f is the frictional force ,not the normal reaction.
Frictional force acts in the opposite direction of the motion of the block.The block moves down due to the component of weight along the inclined plane. What is that component?
 
rl.bhat said:
In the problem, f is the frictional force ,not the normal reaction.
Frictional force acts in the opposite direction of the motion of the block.The block moves down due to the component of weight along the inclined plane. What is that component?

x-component of weight?
 

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