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Q.

A box of mass 8 kg is placed on a rough inclined plane of inclination 30°. Its downward motion can be prevented by applying a horizontal force F, then value of F for which friction between the block and the incline surface is minimum, is

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a

403 N

b

803 N

c

803 N

d

403 N

answer is A.

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Detailed Solution

For friction to be minimum,

Question Image

F cosθ = mg sinθ

⇒  F = mg tanθ = 8×10×tan300  = 803 N

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