A block with mass m1 is placed on an inclined plane with slope angle a and is connected to a hanging block with mass m2 by a cord passing over a small, frictionless pulley . The coefficient of static friction is ms, and the coefficient of kinetic friction is mk. (a) Find the value of m2 for which the block of mass m1 moves up the plane at constant speed once it is set in motion. (b) Find the value of m2 for which the block of mass m1 moves down the plane at constant speed once it is set in motion. (c) For what range of values of m2 will the blocks remain at rest if they are released from rest?

A block with mass m1 is placed on an inclined plane with slope angle a and is connected to a hanging block with mass m2 by a cord passing over a small, frictionless pulley . The coefficient of static friction is ms, and the coefficient of kinetic friction is mk. (a) Find the value of m2 for which the block of mass m1 moves up the plane at constant speed once it is set in motion. (b) Find the value of m2 for which the block of mass m1 moves down the plane at constant speed once it is set in motion. (c) For what range of values of m2 will the blocks remain at rest if they are released from rest?