There are no numbers for this question - I just don\'t know where to start.... A

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There are no numbers for this question - I just don't know where to start.... A block with mass m1 is placed on an inclined plane with slope angle theta and is connected to a second hanging block that has mass m2 by a cord passing over a small, frictionless pulley. The coefficient of static friction is x and the coefficient of kinetic friction is y.

Find the mass of m2, for which the block m1 moves up the plane at constant speed once it has been set in motion.

Find the smallest value of m2 when the blocks will remain at rest once released from rest.

There are no numbers for this question - I just don't know where to start.... A block with mass m1 is placed on an inclined plane with slope angle theta and is connected to a second hanging block that has mass m2 by a cord passing over a small, frictionless pulley. The coefficient of static friction is x and the coefficient of kinetic friction is y. Find the mass of m2, for which the block m1 moves up the plane at constant speed once it has been set in motion. Find the smallest value of m2 when the blocks will remain at rest once released from rest.

Explanation / Answer

Find the mass of m2, for which the block m1 moves up the plane at constant speed once it has been set in motion.

net force on m2 = m2 - T = 0

net force on m1 = T - m1gsin - y*m1gcos = 0

so m2 = m1g(sin + y*cos)

Find the smallest value of m2 when the blocks will remain at rest once released from rest.

net force on m2 = m2 - T = 0

net force on m1 = T - m1gsin - x*m1gcos = 0

so m2 = m1g(sin + x*cos)

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