Laws Of Motion Question 56

Question: A body of mass m rests on horizontal surface. The coefficient of friction between the body and the surface is $ \mu . $ If the mass is pulled by a force P, the limiting friction between body and surface will be [BHU 2004]

Options:

A) $ \mu mg $

B)$ \mu [ mg+( \frac{P}{2} ) ] $

C) $ \mu [ mg-( \frac{P}{2} ) ] $

D) $ \mu [ mg-( \frac{\sqrt{3}P}{2} ) ] $

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Answer:

Correct Answer: C

Solution:

Normal reaction $ R=mg-P\sin 30^{o} $

$ =mg-\frac{P}{2} $

Limiting friction between body and surface is given by, $ F=\mu R=\mu ( mg-\frac{P}{2} ) $ .



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