Question

if m1 and m2 are the masses constituting the rigid body bound by some internal forces so that the distance between the masses remain constant then
define centre of mass
derive expression for positive vector of centre of mass​

Answer 1

Distance of center of mass from M1=M1+M2M1(0)+M2(R)=M1+M2M2R

Distance of center of mass form M2=R−M1+M2M2R=M1+M2M1R

Ratio of the distances=M1M2