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Q.

A box of mass 4 Kg is placed on a rough inclined plane of inclination 600 . Its downward motion can be prevented by applying an upward pull F. And it can be made to slide upwards by applying a force 2F. The coefficient of friction between the box and inclined plane is

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a

23

b

13

c

12

d

12

answer is B.

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Detailed Solution

Fup=2Fd mg(sinθ+μcosθ)=2mg(sinθ−μcosθ) sinθ+μcosθ=2sinθ−2μcosθ 3μcosθ=sin θ 3μ=Tanθ μ=13Tanθ μ=13×Tan600=33=13
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