Where does the centre of mass of a two particle system lie, if one particle ismore massive than the other ?

The centre of mass of two particles system lies

Where does the centre of mass of a uniform rectangular lamina lie ?

Prove that the centre of mass of two particle divides the line joining the particles in the inverse ratio of their masses.

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 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.

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