Question

A block is placed on a smooth inclined plane as shown . For what value of horizontal force F , The block will remain at rest?

• A. $mgtan\theta$
• B. $mgsin\theta$
• C. $mgcos\theta$
• D. $mgcot\theta$

Answer 1

The correct option is A $mgtan\theta$

(Refer to Image)

$F\cos \theta =mg\sin \theta$

$\Rightarrow F=mg\frac{\sin \theta }{\cos \theta }=mg\tan \theta$

For force of $mg\tan \theta$ block will remain at rest.