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A block with mass m2 is placed on an inclined plane with slope angle α 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 μg is and the coefficient of kinetic friction is μk .

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

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

3. Find the smallest value of m2 when the blocks will remain at rest if they are released from rest.

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