Question

define centre of mass of a system of two bodies M1 and M2 separated by a small distance R write an expression for it​

Answer 1

Xcm = M1X1 + M2X2 / M1 + M2

centre of mass is a point of the body where mass of the whole body is concentreted....

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Answer 2

The center of mass is the average position of all the parts of the system, weighted according to their masses. The center of mass is a pseudo concept used to solve problems and it doesn't actually exist.

For the bodies M1 and M2 the center of mass is a the point between the masses where the mass is concentrated.

Let M1 be at a distance x1 from the center of mass and M2 be at a distance x2 from the center of mass.

The position of center of mass (Xcm) = (M1x1 + M2x2)/(M1 + M2)