Finding the Coefficient of friction on an incline plane

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SUMMARY

The coefficient of friction on an incline plane can be calculated using the equation μ = tan(θ), where θ is the angle of the incline. This equation is valid under the assumption that the only forces acting on the object are gravity, the normal force, and friction. The discussion emphasizes the importance of using trigonometric functions to accurately determine the angle and mass of the object, which can be measured using a protractor and scale, respectively. Understanding these principles is crucial for conducting experiments related to friction on inclined planes.

PREREQUISITES
  • Understanding of basic physics concepts, specifically forces and friction.
  • Familiarity with trigonometric functions, particularly sine and tangent.
  • Ability to use a protractor for measuring angles.
  • Knowledge of how to measure mass using a scale.
NEXT STEPS
  • Research the derivation of the equation μ = tan(θ) in the context of inclined planes.
  • Explore the role of normal force in friction calculations.
  • Learn about the effects of different surfaces on the coefficient of friction.
  • Investigate experimental methods for measuring friction on inclined planes.
USEFUL FOR

Students in physics courses, educators teaching mechanics, and anyone conducting experiments involving friction and inclined planes will benefit from this discussion.

Trent Horn
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I need to find the coeffcient of friction on an incline plane. I need the equation to find the coefficient for any givien angle. It part of a lab where I'm required to create the procedure and am stuck with how to create the equation. We can use a protractor or trigonomic functions to find the angle and the mass of the object can be found with a scale.
 
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Show me the equation for the coefficient if you don't have an incline?
 
Well, mu = tan(theta) is sometimes used. Depends though.
 
thanks watermelon that was the equation i couldn't get too that equation because i didnt have the trig functions to get there.
 
Maybe I don't understand what is going on, but it seems to me that mu = tan (theta) is just plain wrong.
 
Assuming the only forces acting on the mass are gravity, the normal force, and friction, then it is true. SumF = mgsin(theta) - mu*mgcos(theta) = 0.
 

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