A block is kept on a frictionless inclined surface with angle of inclination 'α'. 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 remain stationary if forces acting on it are in equilibrium i.e., ma cos α ⇒ ma sin α  ⇒ a = g tan αHere mg sin α = Pseudo force on block, mg = Weight