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Newton's law - mechanics problem involving a frictionless pulley

(See attached file for full problem description with diagram)

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A block with mass is placed on an inclined plane with slope angle and is connected to a second hanging block that has mass by a cord passing over a small, frictionless pulley. The coefficient of static friction is and the coefficient of kinetic friction is .

1. Find the mass for which block moves up the plane at constant speed once it has
been set in motion.

2. Find the mass for which block moves down the plane at constant speed once it has been set in motion.

3. Find the smallest value of when the blocks will remain at rest if they are released from rest.

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Solution Summary

The solution provided calculates the different required masses of a block to control the speed of another block attached through a frictionless pulley.

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