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Physics for Scientists and Engineers, | 6th Edition | ISBN: 9781429201247 | Authors: Paul A. Tipler, Gene Mosca
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A block of mass 0.50 kg rests on the inclined surface of a

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QUESTION:

A block of mass 0.50 kg rests on the inclined surface of a wedge of mass 2.0 kg, as in Figure 5-71. The wedge is acted on by a horizontal applied force and slides on a frictionless surface. (a) If the coefficient of static friction between the wedge and the block is and the wedge is inclined with the horizontal, find the maximum and minimum values of the applied force for which the block does not slip. (b) Repeat part (a) with ms _ 0.40.

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QUESTION:

A block of mass 0.50 kg rests on the inclined surface of a wedge of mass 2.0 kg, as in Figure 5-71. The wedge is acted on by a horizontal applied force and slides on a frictionless surface. (a) If the coefficient of static friction between the wedge and the block is and the wedge is inclined with the horizontal, find the maximum and minimum values of the applied force for which the block does not slip. (b) Repeat part (a) with ms _ 0.40.

ANSWER:

Step 1 of 8

(a) According to the Newton's second law, forces acting along x axis is given by,

According to the Newton's second law, forces acting along y axis is given by,

That is,

Where frictional force,

 

So,

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