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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
gx21
b
gx21x
c
gxx21
d
gx21

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detailed solution

Correct option is D

macosθ = mgsinθ

a=gtanθ. . . . . . . . .(1)

Given, sinθ=1x

cosθ=1sin2θ=x21x

tanθ=1x21. . . . . .(2)

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

a=gx21

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