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Question

A block of mass placed on a wedge of inclination θ. The whole system is accelerated horizontally so that the block does not slip on the wedge. The force exerted by the wedge on the block has a magnitude:

A
mg
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B
mgcosθ
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C
mgcosθ
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D
mgtanθ
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Solution

The correct option is D mgtanθ
Diagram given below, representing the given situation.

As system is accelerating a pseudo force will act on the body as shown

On balancing the forces,
macosθ=mgsinθ
a=gtanθ

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