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Q.

A body of mass 10 kg lies on a rough inclined plane of inclination $θ = \sin^{- 1} \frac{3}{5}$ with the horizontal. When a force of 30 N is applied on the block parallel to and upward the plane, the total reaction by the plane on the block is nearly along:

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a

OA

b

OB

c

OC

d

OD

answer is A.

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Detailed Solution

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Frictional force along the in upward direction = $10 g \sin θ - 30 = 30 N$

N = mg $\cos θ = 80 N$

Direction of R is along OA.

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A body of mass 10 kg lies on a rough inclined plane of inclination θ = sin-135 with the horizontal. When a force of 30 N is applied on the block parallel to and upward the plane, the total reaction by the plane on the block is nearly along: