Mention the position of centre of mass of ring, disc and spheres.
The centre of mass of system of particles does not depend on
A smaller cube with side $b$ (depicted by dashed lines) is excised from a bigger uniform cube with side $\alpha$ as shown below, such that both cubes have a common vertex $P$. Let $X=a / b$. If the centre of mass of the remaining solid is at the vertex $O$ of smaller cube, then $X$ satisfies
$Assertion$ : The position of centre of mass of a body depends upon shape and size of the body.
$Reason$ : Centre of mass of a body lies always at the centre of the body.
A carpenter has constructed a toy as shown in the adjoining figure. If the density of the material of the sphere is $12$ times that of cone, the position of the centre of mass of the toy is given by
A circular plate of diameter ' $a$ ' is kept in contact with a square plate of side $a$ as shown. The density of the material and the thickness are same everywhere. The centre of mass of composite system will be ...........