Mathematics · Rotational Motion

Consider a two-particle system with masses m1 and m2. If the first particle is pushed towards the centre of mass through a distance d, by what distance should the second particle be moved to keep the centre of mass at the same position?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1d
2(m2 / m1) d
3(m1 / (m1 + m2)) d
4(m1 / m2) d✓

Correct answer

(m1 / m2) d

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Consider a two-particle system with masses m1 and m2. If the first particle is pushed towards the centre of mass through a distance d, by what distance should the second particle be moved to keep the centre of mass at the same position?

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Consider a two-particle system with masses m1 and m2. If the first particle is pushed towards the centre of mass through a distance d, by what distance should the second particle be moved to keep the centre of mass at the same position?

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