How Do You Calculate the Coefficient of Kinetic Friction on an Inclined Plane?

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SUMMARY

The discussion focuses on calculating the coefficient of kinetic friction for block 1 on an inclined plane, where blocks 1 and 2 are connected by a string and move with a constant velocity down the incline. The kinetic frictional force on block 1 is denoted as f, while block 2 experiences a frictional force of 2f. The problem also involves determining the mass M that allows both blocks to maintain this constant velocity. Key equations include the sum of forces equating to mass times acceleration and the kinetic friction force formula.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of kinetic friction and its calculation
  • Familiarity with inclined plane physics
  • Basic algebra for solving equations
NEXT STEPS
  • Study the derivation of the coefficient of kinetic friction in inclined plane scenarios
  • Learn about the dynamics of connected masses and tension in strings
  • Explore the effects of different angles of inclination on frictional forces
  • Investigate the role of mass distribution in systems involving pulleys
USEFUL FOR

Students in physics courses, educators teaching mechanics, and anyone interested in understanding the principles of friction on inclined planes.

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Homework Statement


Blocks 1 and 2 of masses m1 and m2, respectively, are connected by a light string. These blocks are further connected to a block of mass M by another light string that passes over a pulley of negligible mass and friction. Blocks 1 and 2 move with a constant velocity v down the inclined plane, which makes an angle [tex]\theta[/tex] with the horizontal. The kinetic frictional force on block 1 is f and that on block 2 is 2f.

determine the coefficient of kinetic friction between the inclined plane and block 1.

and

Determine the value of the suspend mass M that allows the two blocks to move with constant velocity down the plane



Homework Equations


(sum of forces) = (mass)(acceleration)
(kinetic friction force)=(kinetic friction coefficient)(normal force)


The Attempt at a Solution


I set the sum of the forces equal to zero for both the vertical and the horizontal components, but I don't think they came out right.
 
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Why don't you post what you got, and someone can check your work for you.
 

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