Question 22: 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: