A liquid at rest exerts force perpendicular to the surface of the container at every point.

Show that a liquid at rest exerts force perpendicular to the surface of the container at every point.

Proof:

Suppose the force exerted by the liquid on the container’s surface acts at an angle to the perpendicular (normal) to the surface.

We can resolve this force into two components:

  1. Normal component: Acts perpendicular to the surface.
  2. Tangential component: Acts parallel to the surface.

The tangential component would cause the liquid layers near the surface to move, which contradicts the condition that the liquid is at rest.

Therefore, the tangential component must be zero, and the force acts only perpendicular to the surface.

Hence, a liquid at rest exerts force perpendicular to the surface of the container at every point.