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Question: Answered & Verified by Expert
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
PhysicsCenter of Mass Momentum and CollisionCOMEDKCOMEDK 2023
Options:
  • A $\frac{m_1 x_2+m_2 x_2}{m_1+m_2}$
  • B $\frac{m_1+m_2}{2}$
  • C $\frac{m_1 x_1+m_2 x_2}{m_1+m_2}$
  • D $\frac{m_1 m_2+x_1 x_2}{m_1+m_2}$
Solution:
2666 Upvotes Verified Answer
The correct answer is: $\frac{m_1 x_1+m_2 x_2}{m_1+m_2}$
The centre of mass of the system is given by


$x=\frac{m_1 x_1+m_2 x_2}{m_1+m_2}$

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