Two particles of masses 1kg and 2kg are located at `x=0` and `x=3m`. Find the position of their centre of mass.

Explanation

Since, both the particles lies on x-axis, the COM will also lie on x-axis. Let the COM is located at x = x, then `r_(1) =` distance of COM from the particle of mass 1 kg = x

and `r_(2) =` distance of COM from the particle of mass 2 kg = (3 – x)
Using `(r_(1))/(r_(2))=(m_(2))/(m_(1))`
or `(x)/(3-x)=(2)/(1) or x=2m`
Thus, the COM of the two particles is located at x = 2 m.