Question

Two particles of mass $6\text{kg}$ and $24\text{kg}$ are separated by a certain distance. The ratio of distance of COM from $6\text{kg}$ mass and that from $24\text{kg}$ mass will be

• A. $3:1$
• B. $4:1$
• C. $1:5$
• D. $2:1$

Answer 1

The correct option is B $4:1$


Centre of mass divides the line joining two masses in the inverse ratio of masses.

$\because 6{\text{x}}_1=24{\text{x}}_2$

$\Rightarrow \frac{{\text{x}}_1}{{\text{x}}_2}=\frac{4}{1}$