Where Am I Going Wrong in Calculating Minimum Coefficient of Friction?

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SUMMARY

The forum discussion centers on calculating the minimum coefficient of friction required to prevent a small block (mass m) from sliding on a larger block (mass M) on an incline. The participants clarify that static friction must be considered instead of kinetic friction, as both blocks must accelerate together. The correct approach leads to the conclusion that the minimum coefficient of friction, μ, must satisfy the inequality 0.75 ≤ μ, based on the angle of the incline (θ = 37 degrees) and the forces acting on the blocks.

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  • Understanding of static and kinetic friction
  • Knowledge of free body diagrams (FBDs)
  • Familiarity with Newton's second law of motion
  • Basic trigonometry, specifically sine and tangent functions
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  • Study the principles of static friction and its applications in physics problems
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  • #61
gracy said:
Actually I am running out of time.
How much time does it take to resolve a vector into two components, one horizontal and the other vertical?

Chet
 
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  • #62
Chestermiller said:
How much time does it take to resolve a vector into two components, one horizontal and the other vertical?
I have done this but not getting answer.
 
  • #63
gracy said:
I have done this but not getting answer.
Well tell us what you get for the two components of the acceleration.

Chet
 
  • #64
gracy said:
I have done this but not getting answer.
I do not see that you gave the horizontal and vertical components of the force F=mgsin(37). Recall that force is parallel with the incline, so makes 37°angle with the horizontal.
 

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