A trolley containing a liquid slides down a smooth inclined plane of angle α with the horizontal. Find the angle of inclination θ of the free surface with the horizontal.
The angle of inclination of the free surface with the horizontal is given as,
tanθ=axay
tanθ=mgsinαmgcosα
tanθ=tanα
θ=α
Thus, the angle of inclination of the free surface with the horizontal is α.