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  3. consider what happens once the restraint is removed 1 assume...

Question: consider what happens once the restraint is removed 1 assume...

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As shown in the figure, two blocks are connected by a block-and-tackle system with block 2 hanging vertically below the block-and-tackle system and block 3 supported by a fixed inclined plane. Block 3 is initially restrained (the restraint is not shown) from moving so both blocks are initially stationary. Assume that the mass of block 2 is m2, the mass of block 3 is m3, the gravitational field is characterized by the constant y and the direction shown in the figure, the angle of the incline with respect to the horizontal is , and the static and kinetic coefficients of friction between block 3 and the incline are μs and μk respectively with the coefficient of static friction greater than the coefficient of kinetic friction 3 2

Consider what happens once the restraint is removed.

1. Assume the blocks do not move once the restraint is gone (there is static friction between block 3 and the incline). What is the value of the tension, T , in the rope?

2.Under what conditions will block 3 begin to move along the incline?

3. Without knowing any numerical values, can you say definitively if block 3 would have impending motion up or down the incline?

4. Assume the blocks move (there is kinetic friction between block 3 and the incline). Does the magnitude of the acceleration of block 2 increase or decrease as it moves vertically?

5.Assume the blocks move. Does the magnitude of the acceleration of block 3 increase or decrease as it moves along the incline?

6.Assume the blocks move. If mu subscript k cos ϕ minus sin ϕ greater than 0 , will block 2 rise or fall?

7.Assume the blocks move. If mu subscript k cos ϕ minus sin ϕ equals 0 , will block 2 rise or fall?

8.Assume the blocks move. If mu subscript k cos ϕ minus sin ϕ less than 0 , will block 2 rise or fall?

9.Comparing the value of the tension in the rope under static friction to that under kinetic friction, is the value of the tension under kinetic friction greater than or less than the value of the tension under static friction?

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