How Do You Calculate the Coefficient of Kinetic Friction in a Pulley System?

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SUMMARY

The discussion focuses on calculating the coefficient of kinetic friction in a pulley system involving two masses, m1=10 kg and m2=5 kg. The system is set up with m1 on a desk and m2 hanging off a frictionless pulley. The key equations discussed include the force of friction equation and the kinematic equation for displacement. Participants emphasized the importance of drawing free body diagrams (FBDs) and correctly applying Newton's Laws of Motion to derive the acceleration and subsequently the coefficient of kinetic friction.

PREREQUISITES
  • Understanding of Newton's Laws of Motion
  • Familiarity with kinematic equations
  • Ability to draw and analyze free body diagrams (FBDs)
  • Basic knowledge of forces and friction
NEXT STEPS
  • Learn how to effectively draw and interpret free body diagrams (FBDs)
  • Study the application of Newton's Laws of Motion in various systems
  • Explore the relationship between acceleration and tension in pulley systems
  • Investigate the calculation of coefficients of friction in different scenarios
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Students studying physics, particularly those focusing on mechanics, as well as educators and tutors who assist with understanding dynamics in pulley systems.

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Homework Statement


2 objects with mass m1=10 and m2=5 are connected by a light string that passes over a frictionless pulley, they are set up so that m1 is sitting on the desk and m2 is attached to a pulley, is over he desk. if when the system starts from rest, m2 falls 1 meter in 1.2seconds, determine the coeeficiant of kinectic friction between m1 and the desk.

force Friction = Force normal * cooeficiant of kinetic friction

change in x= v-initial*time + .5(accelration)(time^2)



ok so i first found out what the acceleration would be of m2 under those conidtions, found out the force of it then, and then i found the force for if the accelration of m2 was just 9.8m/s^2, and found the difference between that and the first force, and then set that difference equal to Force normal * cooeficiant of kinetic friction, but i still get the wrong answer for kinetic friction cooeficiant.

 
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Did you draw a proper FBD? What did you get for acceleration? And why did you try to find F when a = 9.8m/(s^2)? If you draw a set of FBDs for each part (and one for the whole), all you really need to do is find the acceleration of m2 (which will be the same for m1), and use it to calculate the tension of the string. Then it should be fairly easy to find the coefficient of kinetic friction, using the first equation in conjunction with Newton's 2nd law.EDIT: Basically, you know (by the title) that it's a Newton Motion Law problem, but you don't seem to have used Newton's Laws of Motion!
 

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