How to determine the static frictional force?

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SUMMARY

The discussion centers on determining the static frictional force in a lab setup involving a pulley system with two masses, 'M' on the table and 'm' hanging off the pulley. The key equation derived is μs = m/M, which relates the coefficient of static friction (μs) to the ratio of the hanging mass to the mass on the table. Additionally, the static frictional force (Fs) is defined by the equation Fs = μN, where N represents the normal force acting on the wooden block. A clear understanding of force diagrams is essential for solving these types of physics problems.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with static friction and its coefficient
  • Knowledge of force diagrams and free-body diagrams
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the derivation of the static friction coefficient in pulley systems
  • Learn how to construct and analyze free-body diagrams
  • Explore the relationship between normal force and frictional force
  • Investigate lab experiments involving inclined planes and friction
USEFUL FOR

Students in physics courses, educators teaching mechanics, and anyone interested in understanding the principles of friction and force in practical applications.

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Homework Statement


We have to do a lab on friction in which there was a pulley with a mass attached to it which is held by another mass on the table and an inclined plane with a mass on it. The question is "Based on your work above, show why μs = m/M". I don't understand how to do this. Also "what is the static frictional force on the wooden block equal to?"


Homework Equations


The mass on the table holding the mass dangling off the pulley is 'M' and the mass dangling off the pulley is 'm'


The Attempt at a Solution


Maybe the mass is giving off a force to the mass on the table? But how would I explain this? And the second question would it be that Fs = μN?
 
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The question isn't clear! Could you draw a diagram?
The usual approach for this type of question is to draw the forces on each mass and then write that the sum of the forces = 0 for each one.
 

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