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Q.

A body is placed on a smooth inclined plane of inclination 1 in x. The horizontal acceleration to be given to the inclined plane so that the body on it remains at rest with respect to inclined plane is

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a

gx2−1

b

gxx2−1

c

gx2−1

d

gx2−1x

answer is D.

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Detailed Solution

Question Image

macosθ = mgsinθ

a=gtanθ. . . . . . . . .(1)

Given, sinθ=1x​

cosθ=1−sin2θ​=x2−1​x​

tanθ=1x2−1​. . . . . .(2)

Put equation (2) in equation (1), and we get

a=gx2−1

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