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Question

In the figure shown, the acceleration of wedge is (neglect friction) :
287091.PNG

A
FM
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B
Fm+M
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C
Zero
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D
Fm
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Solution

The correct option is C Zero
Consider the free body diagram of wedge.

Net force on wedge =0 (see figure)

At first pulley there is horizontal force F eastward and an inclined force F along the wedge slope downward.

At second pulley force F westward and F along the wedge slope upward hence the forces along wedge cancelling each other and also horizontal forces hence the resultant force on the wedge is zero therefore acceleration is zero.

453232_287091_ans.PNG

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