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Q.

A box of mass 9kg is placed on a rough inclined plane of inclination θ. Its downward motion can be prevented by applying an upward pull of 20N and it can be made to slide upwards by applying a force 40N. The coefficient of friction between the box and the inclined plane is

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a

13tan⁡θ

b

3tan⁡θ

c

12tan⁡θ

d

2tan⁡θ

answer is A.

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Detailed Solution

Force required to prevent slidingmg(sin⁡θ−μcos⁡θ)=20N→(1)Force required to move up mg(sin⁡θ+μcos⁡θ)=40N→(2)Solving (1) & (2) μ=13tan⁡θ
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A box of mass 9kg is placed on a rough inclined plane of inclination θ. Its downward motion can be prevented by applying an upward pull of 20N and it can be made to slide upwards by applying a force 40N. The coefficient of friction between the box and the inclined plane is