Question

A system consists of three particles, each of mass $m$ and located at $(1,1),(2,2)$ and $(3,3)$, the co-ordinates of the centre of the mass are

• A. $(1,1)$
• B. $(2,2)$
• C. $(3,3)$
• D. $(6,6)$

Answer 1

The correct option is B $(2,2)$

Let COM of the system lies at $a$ distance from A.

$a=\frac{m\left(0\right)+m(\sqrt{2}+m(2\sqrt{2})}{3m}=\sqrt{2}$

Thus COM lies at B (2,2).