The centre of mass of a system of particle is at the origin the number of particle to the left

The centre of mass of a system of particles is at the origin. It follows that

The centre of mass of two particles system lies

Does centre of mass of a system of two particles lie on the line joining the particles ?

Statement-1 : The centre of mass of a system of n particles is the weighted average of the position vector of the n particles making up the system . Statement-2 : The position of the centre of mass of a system is independent of coordinate system

Questions on centre of mass of system of particle and bodies

Centre of mass of system of particle and continuous bodies

The position vector of the centre of mass of a system of particles is the _________ of the position vectors of the particles, each particle making a contribution proportional to its _________

Statement-1 : The centre of mass of a two particle system lies on the line joining the two particles, being closer to the heavier particle. Statement-2 : Product of mass of one particle and its distance from centre of mass is numerically equal to product of mass of other particle and its distance from centre of mass.