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Question

A block of mass m is placed on a smooth 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 (g is the acceleration due to gravity) will be


Your Answer
A
mgcosθ
Your Answer
B
mgsinθ
Your Answer
C
mg
Correct Answer
D
mgcosθ

Solution

The correct option is D mgcosθ


Applying pseudo force on block


As block does not slip,
ma cosθ=mg sinθ
a=g tanθ(1)
N=masinθ+mgcosθ
N=mgtanθsinθ+mgcosθ
N=mgcosθ

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