The position Vectors of two identical particles with respect to the origin in the three-dimensional coordinator system are `r_1and r_2` The position of the centre of mass of the system is given by

Derive an expression for the position vector of the center of mass of particle system.

The position vector of a particle with respect to origin "0" is vec r .If the torque acting on the particle is zero,then

What is the position vector of the origin of a coordinate system ?

If the centre of mass lies at the origin of the frame of refrence then what is the magnitude of position vector of the centre of mass of the system ?

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

Position vectors of two equal masses with respect to the origin are veca and vecb respectively. Position vector of the centre of mass of these masses is