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Question

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? 


A
d
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B
m2m1d
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C
m1m1+m2d
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D
m1m2d
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Solution

The correct option is D $$\dfrac{m_{1}}{m_{2}}d$$
$$COM\quad should\quad be\quad at\quad the\quad same\quad position\\ { m }_{ 1 }d+{ m }_{ 2 }x=0\Rightarrow x=-\dfrac { { m }_{ 1 }d }{ { m }_{ 2 } } $$

Physics

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