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Question

A block of mass m slides down an inclined plane of inclination θ with uniform speed. The coefficient of friction between the block and the plane is μ. The contact force between the block and the plane is

A
mg sinθ1+μ2
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B
(mg sinθ)2+(μmg cosθ)2
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C
mg sinθ
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D
mg
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Solution

The correct option is D mg
Block slides down with constant velocity. Hence, net force on the block is zero.

So, net contact force FC on the body is
FC=f2+N2
where f=mg sinθ{a=0f = mg sinθ}
and N=mg cosθ
FC=m2g2(cos2θ+sin2θ)=mg
Hence, the correct answer is (D).

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