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Question

By what distance do the wedges move if horizontal plank moves by x cm downwards?

A
xtanθ cm
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B
xcotθ cm
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C
xsinθ cm
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D
xcosθ cm
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Solution

The correct option is B xcotθ cm
By the condition of wedge constrained, the accelerations along the normal to the common interface are equal.
Let the plank acceleration be aP
and the wedges acceleration be aW
xcosθ=x0sinθ
( displacement will be in ratio of acceleration)
x0=xcotθ

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