question_answer

A body 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 as shown in the figure, the limiting friction between body and surface will be -

A) \[\mu mg\]

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

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

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

Correct Answer: C

Solution :

\[{{f}_{man}}=\mu N\] \[=\mu (mg-p\,\sin \,30{}^\circ )\] \[=\mu \left[ mg-\left( \frac{p}{2} \right) \right]\]