Question

The centre of mass of a system of two particles of masses m1 and m2 is at a distance dl from $m_{1}$ and at a distance d2 from mass m2 such that

• A. $\frac{d_{1}}{d_{2}} = \frac{m_{2}}{m_{1}}$
• B. $\frac{d_{1}}{d_{2}} = \frac{m_{1}}{m_{2}}$
• C. $\frac{d_{1}}{d_{2}} = \frac{m_{1}}{m_{1} + m_{2}}$
• D. $\frac{d_{1}}{d_{2}} = \frac{m_{2}}{m_{1} + m_{2}}$

Answer 1

Answer: (A)

$\frac{d_{1}}{d_{2}} = \frac{m_{2}}{m_{1}}$

Answer 2

Refer figure.

The distances of centre of mass CM form masses $m_{1}$and $m_{2}$are

$d_{1} = \frac{m_{2}d}{m_{1} + m_{2}}andd_{2} = \frac{m_{1}d}{m_{1} + m_{2}} \therefore\frac{d_{1}}{d_{2}} = \frac{m_{2}}{m_{1}}$