Question

In the diagram shown below, $ m_{1} $ and $ m_{2} $ are the masses of two particles and $ x_{1} $ and $ x_{2} $ are the respective distances from the origin $O$. The centre of mass of the system is

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

Answer 1

Answer: (C)

The centre of mass of the system
$ r=\frac{m_{1}x_{1}+m_{2}x_{2}}{m_{1}+m_{2}} $