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NEET 2004 (AIPMT) · Centre of Mass of Discrete Particles

Centre of Mass of Discrete Particles question from NEET 2004 (AIPMT)

Q23NEET 2004 · AIPMTEasy

Centre of Mass of Discrete Particles

Consider a system of two particles having masses m1 and m2. If the particle of mass m1 is pushed towards the mass centre of particles through a distance d. by what distance would be particle of mass m2 move so as to keep the mass centre of particles at the original position?

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Answer: (b)

CM unchanged: $m_1 \Delta x_1 + m_2 \Delta x_2 = 0$ , so the displacements are opposite and $m_1 d = m_2 d_2$ .
$d_2 = \frac{m_1}{m_2} d$ (towards the CM)
So the answer is (b) $\frac{m_1}{m_2} d$ .

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