A block with mass m1 is placed on an inclined plane with slope angle α and is connected to a second hanging block with mass m2 by a cord passing over a small, frictionless pulley (Figure 1). The coefficient of static friction is μs and the coefficient of kinetic friction is μk. Find the mass m2 for which block m1 moves up the plane at constant speed once it is set in motion. (Express your answer in terms of some or all of the variables m1, α, μs, and μk.) Find the mass m2 for which block m1 moves down the plane at constant speed once it is set in motion. (Express your answer in terms of some or all of the variables m1, α, μs, and μk.) For what minimum value of m2 will the blocks remain at rest if they are released from rest? (Express your answer in terms of some or all of the variables m1, α, μs, and μk.) For what maximum value of m2 will the blocks remain at rest if they are released from rest? Express your answer in terms of m1, α, μs, and μk.)

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A block with mass m1 is placed on an inclined plane with slope angle α and is connected to a second hanging block with mass m2 by a cord passing over a small, frictionless pulley (Figure 1). The coefficient of static friction is μs 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 is set in motion. (Express your answer in terms of some or all of the variables m1, α, μs, and μk.)
  2. Find the mass m2 for which block m1 moves down the plane at constant speed once it is set in motion. (Express your answer in terms of some or all of the variables m1, α, μs, and μk.)
  3. For what minimum value of m2 will the blocks remain at rest if they are released from rest? (Express your answer in terms of some or all of the variables m1, α, μs, and μk.)
  4. For what maximum value of m2 will the blocks remain at rest if they are released from rest? Express your answer in terms of m1, α, μs, and μk.)
m1
0
m2
Transcribed Image Text:m1 0 m2
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