Figure shows a semi-cylindrical massless gate pivoted at the point `O` holding a stationary liquid of density `rho`. The length of the cylinder is `l`. Calculate, the horizontal force exerted by the liquid on the gate.

The fig shows a semo-cylinderical massless gate of unit length perpendicular to the plane of the page and is pivoted at the point O holding a stationary liquid of density rho . A horizontal foce F is applied at its lowest position to keep it stationary. The magnitude of the force is:

A light semi cylindrical gate of radius R is pivoted aat its mid point O, of radius R as shown in the figure holding liquid of density rho . The force F required to prevent the rotation of the gate is equal to

A light semi cylindrical gate of radius R is pivoted aat its mid point O, of radius R as shown in the figure holding liquid of density rho . The force F required to prevent the rotation of the gate is equal to

A liquid of density rho comes out with a velocity v from a horizontal tube of area of cross-section A. The reaction force exerted by the liquid on the tube is F :

A cylindrical vessel of radius r is filled with a homogeneous liquid upto a height h. It is found that the force exerted by the liquid column on the bottom of the cylinder is equal to the force exerted by the liquid on the sides of the cylinder. What is the relation between r and h?

The force F needed to support the liquid of density rho and the vessel on it, in figure, is