Question

A weight $W$ rests on a rough horizontal plane. If the angle of friction be $\theta$, the least force that will move the body along the plane will be

• A. $W\cos \theta$
• B. $W\cot \theta$
• C. $W\tan \theta$
• D. $W\sin \theta$

Answer 1

Answer: (C)

$W\tan \theta$

$\begin{array}{c}\text{Correct option is}\left(C\right)\\ \text{Let the force}f\text{is applied;}\\ \text{If angle of friction is}\theta \text{then}\mu =\tan \theta \\ \therefore \text{for minimum force}F=N\tan \theta \\ =W\tan \theta \end{array}$