write the expression of centre of mass of three particle system in cartesian coordinate system
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This is nothing but the position vector and is called the centre of the mass of the two-particle system. It is the point where the total external force is supposed to act. For a two-particle system, the centre of mass lies between the two particles and on the line joining themCentre of mass is the point where entire mass of object is concentrated. It is very important because if we balance at any other point other than this centre of mass then it won't balance at that particular point
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