Question

The position of the centre of mass of a system consisting two particles of masses M1 and M2 separated by a distance l apart from them one will be

Answer 1

position of centre of mass of the system from M1 = M2 × l / ( M1 + M2)

Answer 2

centre of mass of the system consisting two particles of masses m1 and m2 seperated by a distance l apart from then one will be m2l/(m1 + m2)

we have to suppose one one them is at origin. let mass m1 is located at origin and m2 is located at (l, 0).

from concept of centre of mass,

x_cm = (m1x1 + m2x2)/(m1 + m2)

here, x1 = 0 , x2 = l

then, x_cm = (m1 × 0 + m2 × l)/(m1 + m2)

= m2l/(m1 + m2)

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