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. $gtan\alpha$
• C. $g/tan\alpha$
• D. $gcosec\alpha$

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., $ma\cos$

$\alpha \Rightarrow masin\alpha$

$\Rightarrow a=gtan\alpha$

Here $mgsin\alpha$ = Pseudo force on block, $mg=$ Weight