Half of the recrtangular plate shown in figure is made of a material of density `rho_1` and the other half of density `rho_2`. The length of the plate is L. Locate the centre of mass of the plate.

Half of the uniform rectangular plate of length .L. is made up of material of density d_(1) and the other half with density d_(2) . The perpendicular distance of centre of mass from AB is

The density of a rod of length L varies as rho=A+Bx where x is the distance from the left end. Locate the centre of mass.

The density of a rod of length L varies as rho=A+Bx where x is the distance from the left end. Locate the centre of mass.

The density of a linear rod of length L varies as rho = A+Bx, where x is the distance from the left end. Locate the centre of mass.

The space between the two large parallel plates is filled with a material of uniform charge density rho . Assume that one of the plate is kept at x=0 . The potential at any point x between these plates is given by (A and B are constants).

The density of a linear rod of length L varies as rho=A+Bx where x is the distance from theleft end. Locate the centre of mass.

A composite plate comprises a triangular area (1) and rectangular area (2) as shown in the figure. The triangular plate experiences forces due to the liquids of densities rho_(1) and the rectangular plate experiences the force due to liquid of density rho_(2) . Find the hydrostatic forces on (a) area 1 , (b) area 2 , (c) total composite area of the plate. Assume rho_(1)=rho and rho_(2)=2rho .

A composite plate comprises a triangular area (1) and rectangular area (2) as shown in the figure. The triangular plate experiences forces due to the liquids of densities rho_(1) and the rectangular plate experiences the force due to liquid of density rho_(2) . Find the hydrostatic forces on (a) area 1 , (b) area 2 , (c) total composite area of the plate. Assume rho_(1)=rho and rho_(2)=2rho .

A circular plate of diameter a is kept in contact with a square plate of edge a as shown. The density of the material and the thickness are same everywhere. The centre of mass of the composite system will be