Question

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. $g\, cosec \,\alpha$

Answer 1

Answer: (B)

Let the mass of a block is $m$ It will remain stationary if forces acting on it are in equilibrium i.e., $ma\, \cos$
$\alpha \Rightarrow \,ma\,sin\,\alpha$
$\Rightarrow a=g \,tan\,\alpha$
Here $mg\,sin\,\alpha$ = Pseudo force on block, $mg =$ Weight