With what minimum acceleration should the wedge move horizontally for which the block B falls freely Take g = 10m/s2

The wedge must move to the right. From the frame of the wedge,N+masinθ−mgcosθ = 0∴ masinθ−mgcosθ = 0⇒ a = gcotθ = 10cot300 = 103m/s2 = 17.32m/s2