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Question

A rod of mass 2 m moves vertically downward on the surface of wedge of mass as shown in the figure. Find the relation between velocity of rod and that of the wedge at any instant.

A
u=vtanθ
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B
u=vtan2θ
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C
v=utanθ
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D
v=usinθ
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Solution

The correct option is A u=vtanθ
Using wedge constraint.
Component of velocity of rod along perpendicular to inclined surface is equal to velocity of wedge along that direction.
ucosθ=vsinθ
uv=tanθ
u=vtanθ

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