Friction Equilibrium Problem: Solving for Minimum Coefficient of Friction

AI Thread Summary
The discussion revolves around solving a friction equilibrium problem by determining the minimum coefficient of friction. Participants emphasize the importance of analyzing the forces acting on the system, particularly the normal force at point B, and suggest summing forces in both the X and Y directions to establish equations with two unknowns. There is some confusion regarding the relationship between the normal force and the friction force, with clarifications needed on how to approach the problem using tension forces. One participant mentions arriving at a force value of 9.15N but expresses uncertainty about its correctness. The conversation highlights the necessity of breaking down the forces systematically to find a solution.
Oblivion77
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Homework Statement



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Homework Equations



Sum of forces in x,y and f/N=coefficient of friction

The Attempt at a Solution



I am not sure where to begin, I think each member there is a 2 force member. I already found the minimum coefficient of friction by doing Tan(8)
 
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Oblivion77;1969180I think each member there is a 2 force member[/QUOTE said:
Correct. What you now need to find is the force normal to the wall acting at point B. Sum the foces in the X and Y, you will have two equations with two unkowns. Finding the friction force is simply just the Y component at B.
 
Topher925 said:
Correct. What you now need to find is the force normal to the wall acting at point B. Sum the foces in the X and Y, you will have two equations with two unkowns. Finding the friction force is simply just the Y component at B.

Thanks, would I need to use both members or can I only use the bottom member to find the answer?
 
Topher925 said:
Correct. What you now need to find is the force normal to the wall acting at point B. Sum the foces in the X and Y, you will have two equations with two unkowns. Finding the friction force is simply just the Y component at B.

Are you sure that is correct? I didn't know the y component of the normal is the friction? If there was just the normal what would be the other unknown?
 
anyone have any ideas? I tried some stuff, and got an answer as 9.15N. Not sure if that is correct.
 
Last edited:
Still stuck on it.
 
try and break it down into forces in y direction and forces in x direction

here is what I get for the y direction, T is the tension force
<br /> T_{1} \cos (30^{ \circ }) + T_2 \sin( 8^{\circ}) -mg = 0<br />

try and get the x direction forces into an equation
 
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