Question

A block is kept on a frictionless inclined surface with an angle of inclination $\alpha$. The incline is given an acceleration ${}^{\prime }{a}^{\prime }$ to keep the block stationary, then ${}^{\prime }{a}^{\prime }$ is equal to.

Answer 1

$M$ is the mass of the small block. The force is in the direction of acceleration $a$ as shown in the fig. The force F should be such that the block remains in equilibrium.

Therefore, for equilibrium $maCos\alpha$= $mgSin\alpha$

$a=gtan\alpha$