The relationship between angle and static coefficient

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SUMMARY

The discussion centers on determining the static friction coefficient of an incline by measuring the angle at which an object begins to move. Participants suggest using an additional known force parallel to the slope to explore the relationship between angle and static friction. The conversation highlights the importance of accurately representing forces, particularly the gravitational force components, in diagrams. The static friction coefficient can be calculated consistently, regardless of the additional forces applied, reinforcing the reliability of the experimental method.

PREREQUISITES
  • Understanding of static friction and its coefficient
  • Knowledge of forces acting on inclined planes
  • Familiarity with free-body diagrams
  • Basic principles of mechanics, including Newton's laws
NEXT STEPS
  • Explore the concept of slip/no slip boundaries in static friction
  • Research methods for measuring static friction coefficients experimentally
  • Learn about the role of pulleys and additional forces in friction experiments
  • Study the effects of angle on static friction using different materials
USEFUL FOR

Physics students, educators, and researchers interested in mechanics, particularly those studying friction and inclined planes.

Solweak
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Homework Statement
Hello, I'm very confused about one of my lab activities. It asks "Design a procedure to find the coefficient for static friction of a mass at different angles." But from what I've read online there should be no relationship as you find the static friction from when it begins to slide and the tangent of that angle. Do I just say there is no relationship?
Relevant Equations
tan(θ) = μs
I know you find the static friction of an incline by raising it until it begins to move and then measure the tangent of that angle, but I'm not sure how I'm supposed to show a relationship or create a procedure based off that.
 
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One possibility would be to introduce another (known) force parallel to the slope. I'll leave you to come up with options for that.
 
haruspex said:
One possibility would be to introduce another (known) force parallel to the slope. I'll leave you to come up with options for that.
If we had a pulley and string would that work? Also sorry I'm a little confused but what does the spring system show us?
 
Solweak said:
If we had a pulley and string would that work? Also sorry I'm a little confused but what does the spring system show us?
By having another force in there you can get the slip/no slip boundary at a different angle. Knowing the applied force, you can still calculate the static friction coefficient. You should find it comes out the same, of course, but the scientific spirit says it is worth checking.
 
haruspex said:
By having another force in there you can get the slip/no slip boundary at a different angle. Knowing the applied force, you can still calculate the static friction coefficient. You should find it comes out the same, of course, but the scientific spirit says it is worth checking.
Oh okay, that makes more sense, also if we didn't apply some force wouldn't the applied force be the downhill force from the normal force? So if we didn't do anything the applied force would just be mgsin(a)
e-body-force-diagram-block-on-frictionless-incline.png
 
Yes. But your diagram omits friction, and you should not show the whole mg as well as a component of it. Just show mg or both components.
 
Oh okay thank you so much for your time
 

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