Consider a two particle system with particles having masses $m_1$ and $m_2$. If the first particle is pushed…

Consider a two particle system with particles having masses $m_1$ and $m_2$. If the first particle is pushed towards the centre of mass through a distance $d$, by what distance should the second particle be moved, so as to keep the centre of mass at the same position?
  1. $\mathrm{d}$
  2. $\frac{m_2}{m_1} \mathrm{~d}$
  3. $\frac{m_1}{m_1+m_2} d$
  4. $\frac{\mathrm{m}_1}{\mathrm{~m}_2} \mathrm{~d}$

Solution

$m_1 d+m_2 x=0$ $x=\frac{m_1 d}{m_2}$

Asked in: JEE Main 2006

Practice more Rotational Motion questions on Aicharya