Question

A block is kept on a wedge of inclination ${30}^0$ to the horizontal as shown. With what acceleration the wedge should be moved so that the block does not move relative to the wedge?

• A. g
• B. $g/\sqrt{3}$
• C. $\sqrt{3}g$
• D. $g/\sqrt{2}$

Answer 1

The correct option is B $g/\sqrt{3}$

F is the pseudo force on the block.

From the FBD, balancing the forces along the inclined plane:

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

$ma\cos \theta =mg\sin \theta$

$a=g\tan \theta$
$a=g/\sqrt{3}$