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Q.

A box of mass 8 Kg is placed on a rough inclined plane of inclination θ . 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

12tanθ

b

13tanθ

c

2tanθ

d

3tanθ

answer is A.

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Detailed Solution

F=mgsinθ−f

2F=mgsinθ+f

2(mgsinθ−f)=mgsinθ+f

2mgsinθ−2f=mgsinθ+f

mgsinθ=3μmgcosθ

tanθ=3μ

μ=13tanθ

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