Laws Of Motion Question 150

Question: A particle of weight W rests on a rough inclined plane which makes an angle α with the horizontal. If the coefficient of static friction μ=2 tan a, find the horizontal force H acting transverse to the slope of the plane when the particle is about to slip.

Options:

A) 2Wsinα

B) Wsinα

C) 32Wsinα

D) W3sinα

Show Answer

Answer:

Correct Answer: D

Solution:

[d] Net force: F=(Wsinα)2+H2 When the particle is about to slip: F=μN

(Wsinα)2+H2=(2tanα)Wcosα

H=3Wsinα



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