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

Explanation

Since, both the particles lie 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`
thus, the COM of the two particles is located at x = 2m.