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COMEDK2023PhysicsCenter of Mass, Momentum and Collision

In the diagram shown below, m₁ and m₂ are the masses of two particles and x₁ and x₂ are their respective distances from the origin O . The centre of mass of the system is

Options

  1. Am₁ x₂+m₂ x₂ m₁+m₂
  2. Bm₁+m₂ 2
  3. Cm₁ x₁+m₂ x₂ m₁+m₂
  4. Dm₁ m₂+x₁ x₂ m₁+m₂

Correct answer

C. m₁ x₁+m₂ x₂ m₁+m₂

Step-by-step solution

The centre of mass of the system is given by x= m₁ x₁+m₂ x₂ m₁+m₂

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