FrictionHard

Question

A small mass slides down an inclined plane of inclination q with the horizontal. The co-efficient of friction is μ= μ0 x where x is the distance through which the mass slides down and μ0, a constant. Then the speed is maximum after the mass covers a distance of  

Options

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D.

Solution

Acceleration of mass at distance x
a = g(sinθ − μ0 x cosθ)
Speed is maximum, when a = 0
g(sinθ − μ0 x cosθ) = 0
x =

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