Question

Two particles of masses $1\, kg$ and $2\, kg$ are located at $x_{1}=0, y_{1}=0$ and $x_{2}=1,\, y_{2}=0$ respectively. The centre of mass of the system is at.

• A. $ x=1;\,y=2 $
• B. $ x=2;\,y=1 $
• C. $ x=\frac{1}{3};\,y=\frac{2}{3} $
• D. $ x=\frac{2}{3};\,y=\frac{1}{3} $

Answer 1

$x_{C M}=\frac{m_{1} x_{1}+m_{2} x_{2}}{m_{1}+m_{2}} ;$
$y_{C M}=\frac{m_{1} y_{1}+m_{2} y_{2}}{m_{1}+m_{2}}$
$=\frac{1 \times 0+2 \times 1}{3}=\frac{2}{3} ; y=\frac{1 \times 0+2 \times 0}{3}=0$
${\left[\frac{2}{3}, 0\right]}$
Hence, no option is correct.