A block is kept on a frictionless inclined

Your Ultimate Guide to JEE & NEET Question Solutions

A block is kept on a frictionless inclined surface with angle of inclination '$\alpha$'. The incline is given an acceleration $ 'a'$ to keep the block stationary. Then a is equal to

A

$g$

B

$g \tan \alpha$

C

$g / \tan\alpha$

D

$g \,cosec \alpha $

A block is kept on a frictionless inclined surface with angle of inclination '$\alpha$'. The incline is given an acceleration $ 'a'$ to keep the block stationary. Then a is equal to

Let the mass of a block is m. It will remains stationary if forces acting on it are in equilibrium

i.e, $ma\cos \alpha = mg\sin \alpha $

$⇒$ $a = g\tan \alpha $

Here $ma$ = Pseudo force on block, $mg = Weight.$