A carpenter has constructed a toy as shown in figure. If the density of the material of the sphere is 12 tirnes that of cone, the `y-` coordinate of `COM` of toy point `O`

A carpenter has constructed a toy as shown in the figure. If the density of a material of the sphere is 12 times that of cone, the position of the centre of mass of the toy is given by : .

A carpenter has constructed a toy as shown in the figure. If the density of a material of the sphere is 12 times that of cone, the position of the centre of mass of the toy is given by : .

A wooden toy rocket is in the shape of a cone mounted on a cylinder, as shown in figure. The height of the entire rocket is 26 cm, while the height of the conical part is 6 cm. The base of the conical partition has a diameter of 5 cm, while the base diameter of the cylindrical protion is 3 cm.Find the slant height of conical portion.

In figure-I is shown a sphere of mass m and radius r resting at the bottom of a large container filled with water. Depth of the container is h . Density of material of the sphere is the same as that of water. Now hte whole sphere is slowly pulled out of water as shown in figure-II Work done by the agent in pulling the sphere is equal to

A solid wooden cone has been supported by a string inside water as shown in the figure. The radius of the circular base of the cone is R and the volume of the cone is V . In equilibrium the base of the cone is at a depth H below the water surface. Density of wood is d (lt rho , density of water) Then tension in the string is

A solid wooden cone has been supported by a string inside water as shown in the figure. The radius of the circular base of the cone is R and the volume of the cone is V . In equilibrium the base of the cone is at a depth H below the water surface. Density of wood is d (lt rho , density of water) Then tension in the string is