Question

A block of mass m is placed on a smooth inclined wedge ABC of inclination $\theta$ as shown in the figure. The wedge is given an acceleration 'a' towards the right. The relation between ${}^{\prime }{a}^{\prime }$ and $\theta$ for the block to remain stationary on the wedge is?

• A. $a=g\cos \theta$
• B. $a=\frac{g}{cosec\theta }$
• C. $a=g\tan \theta$
• D. $a=\frac{g}{\sin \theta }$

Answer 1

The correct option is C $a=g\tan \theta$

The block will remain stationary when resultant force along the incline plane is zero.

$ma\cos \theta =mg\sin \theta a=g\tan \theta$