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Question

A body of mass 10 kg lies on a rough inclined plane of inclination θ=37 with the horizontal. When the force of 30 N is applied on the block parallel to and upward the plane, the contact force by the plane on the block is nearby along


A
OA
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B
OB
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C
OC
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D
OD
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Solution

The correct option is A OA
The given arrangement can be reframed as shown

So, the force down the incline is
mgsinθ=10gsin37=100×(35)=60 N
This 60N>30N which is applied on the block externally.So, the block will slide down the plane.Hence, friction force f will act up the incline as shown in the below figure.

Thus, contact force by the plane on the block is given by
R=N2+f2
And, the direction will be near by along OA as per given in the question.

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