Question

A plane is inclined at an angle $\theta$ with the horizontal. A body of mass $m$ rests on it, if the coefficient of friction is $\mu$, then find the minimum force that has to be applied on the body to make the body just move up the inclined plane.

• A. $mgsin\theta$
• B. $\mu mgcos\theta$
• C. $\mu mgcos\theta -mgsin\theta$
• D. $\mu mgcos\theta +mgsin\theta$

Answer 1

The correct option is D $\mu mgcos\theta +mgsin\theta$

$F_{min}=mgsin\theta +\mu mgcos\theta =mg(sin\theta +\mu cos\theta )$