Question

Two particles of masses $m$ and $2m$ start moving from origin with same constant speed along $x$ and $y$ axis respectively. The centre of mass of system of particles will move along the line

• A. $3y=x$
• B. $y=3x$
• C. $y=2x$
• D. $y=\frac{2x}{5}$

Answer 1

The correct option is C $y=2x$

Let $l$ be distance moved by each mass,
Finding position of COM
$x=\frac{ml}{3m}=\frac{l}{3};y=\frac{2ml}{3m}=\frac{2l}{3}\therefore y=2x$
$\therefore \left(c\right)$