A cup `ABC` is kept in a liquid of density `rho` as shown in the figure. Find the vertical thrust on the cup by the liquid present in region `2`, if the maximum volume of the liquid that can be kept in the cup is equal to `V`.

A solid hemisphere of radius R is made to just sink in a liquid of density rho . Find a. the vertical thrust on the curved surface b. the vertical thrust on the flat surface c. the side thrust on the hemisphere. d. the total hydrostatic force acting on the hemisphere.

Consider a regular tank of size (lxxb) filled with a liquid of density rho to a height H as shown in figure. Find the force at the base and on the wall of the tank.

A liquid of density 'rho' is rotated with an angular speed 'omega' as shown in figure. Using the pressure equation concept find the equation of free surface of the liquid. .

A solid of density D is floating in a liquid of density d. If upsilon is the volume of solid submerged in the liquid and V is the total volume of the solid, then upsilon//V equal to

Two liquids of densities 2 rho " and " rho having their volumes in the ratio 3 : 2 are mixed together. Density of the mixture will be

A vertical U-tube contains a liquid of density rho and surface tension T. if the radius of the meniscus of liquid in the limbs of the U-tube are R_(1) and R_(2) find the difference in the liquid column in the limbs.

A solid of density D is floating in a liquid of density d. If V is the volume of solid submerged in the liquid and V is the total volume of the solid, then V//V is equal to

A liquid of density rho is in a bucket that spins with angular velocity 'omega' as shown in figure. Prove that the free surface of the liquid has a parabolic shape. Find equation of this. .

An object of volume V is submerged in a liquid of density rho . It has flat bottom of area A which is at depth of H in the liquid and a dome shaped top find the total force of liquid acting on the top of the object.