Q.

A body is sliding down a rough inclined plane of angle of inclinationθ for which the coefficient of friction varies with distance x as μ(x)=kx , where k is a constant. Here x is the distance moved by the body down the plane. The net force on the body will be zero at a distance x0 given by :

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a

tanθk

b

kcotθ

c

cotθk

d

ktanθ

answer is A.

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Detailed Solution

mgsinθ=μmgcosθ

μ=tanθ

kx=tanθ

x=tanθk

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