List of top Physics Questions on Center of Mass asked in KEAM

The objects and the corresponding positions of centre of mass are given below. The FALSE one is
Two bodies A and B of masses 80 g and 120 g move with same speed, $6~cm~s^{-1}$ in a plane. The speed of the centre of mass of the system is
The centre of mass of a thin uniform rod of length L lies at a distance (from one end) of ________.
The center of mass of a rod of length \( l \) is at a distance ______ from one end of the rod.
4 masses are placed at 4 corners of square ABCD. If one mass is removed from the corner B, then the centre of mass lies in the line joining
A block of mass $M$ moves with a velocity $v$ along a frictionless horizontal surface towards another block of mass $2M$ at rest. The velocity of the center of mass of the system of blocks is
The X and Y coordinates of the three particles of masses m, 2m and 3m are respectively (0,0), (1,0) and (-2,0). The X-coordinate of the centre of mass of the system is