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Q.49

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 180

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Short Answer

Find an expression for the magnitude of the horizontal force in for which m1 does not slip either up or down along the wedge. All surfaces are frictionless.

An expression for the magnitude of the horizontal force

See the step by step solution

Step by Step Solution

Step 1: Given information 

the horizontal force acting on the large sliding wedge block is

mass of the small sliding block.

mass of the large sliding wedge block.

the inclination angle of wedge block is

All surfaces are frictionless.

Step 2: Explanation

Resolving horizontal and vertical forces for the smaller block:

Resolving horizontal forces

The above equation gives the expression for acceleration of mass .

Similarly, resolving vertical forces to get the normal force acting on the smaller block.

Now, find the horizontal forces for the system,

Substituting the equation in the above expression, we get

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