Center of Mass and System of Particles

A disc of radius 20 cm has its center at origin. If a disc of radius 5 cm is cut from it such that its edge touches the edge of the bigger disc, find the location of centre of mass of the new system.

(Shift I Memory Based)

A disc of radius 20 cm has its center at origin. If a disc of radius 5 cm is cut from it such that its edge touches the edge of the bigger disc, find the location of centre of mass of the new system.

(Shift I Memory Based)

Consider a circular disc of radius 20 cm with centre located at the origin. A circular hole of radius 5 cm is cut from this disc in such a way that the edge of the hole touches the edge of the disc. The distance of centre of mass of residual or remaining disc from the origin will be

[JEE Main 2025, 23 Jan (Shift 1)]

Two bodies A and B of same mass undergo completely inelastic one dimensional collision. The body A moves with velocity $v_1$ while body B is at rest before collision. The velocity of the system after collision is ${\mathit{v}}_2$. The ratio $v_1:v_2$ is :

[NEET 2024]