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 square gate of size 1mxx1m is hinged at its mid point. A fluid of density rho fill the space to the left of the gate. The force F required to hold the gate stationary is

A square gate of size 1mxx1m is hinged at its mid point. A fluid of density rho fill the space to the left of the gate. The force F required to hold the gate stationary is

A square gate of size 1mxx1m is hinged at its midpoint. A fluid of denisty rho fills the space to the left of the gate. The force F required to hold the gate stationary is

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 hemispherical portion of a radius R is removed from the bottom of a cylinder of radius R. The volume of the remaining cylinder is V and its mass is M. It is suspended by a string in a liquid of density rho where it stays vertical . The upper surface of the cylinder is at a depth of h below the liquid surface. THe force on the bottom of the cylinder by the liquid is