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

AI Thread Summary
To calculate the coefficient of kinetic friction on an inclined plane with two connected blocks moving at constant velocity, the forces acting on each block must be analyzed. The kinetic frictional forces are given as f for block 1 and 2f for block 2, while the angle of inclination affects the normal force. The equations of motion indicate that the sum of forces equals zero due to the constant velocity condition. Additionally, determining the mass M that allows this constant velocity involves balancing the forces acting on the system. Accurate calculations of these forces and friction coefficients are essential for solving the problem effectively.
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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 \theta 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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