Question 21: Centre of Mass and Rotational Motion

Question

In the diagram shown below, $$m_1$$ and $$m_2$$ are the masses of two particles and $$x_1$$ and $$x_2$$ are their respective distances from the origin $$O$$.
The centre of mass of the system is

Accepted Answer

The centre of mass of the system is given by
$$x = {{{m_1}{x_1} + {m_2}{x_2}} \over {{m_1} + {m_2}}}$$

Answer

$$\frac{m_1 x_2+m_2 x_2}{m_1+m_2}$$

Answer

$$\frac{m_1+m_2}{2}$$

Answer

$$\frac{m_1 x_1+m_2 x_2}{m_1+m_2}$$

Answer

$$\frac{m_1 m_2+x_1 x_2}{m_1+m_2}$$

Centre of Mass and Rotational Motion

In the diagram shown below, $m_1 and m_2 are the masses of two particles and x_1 and x_2 are their respective distances from the origin O$. The centre of mass of the system is

Choose the correct answer: