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Question 30571
JEE Physics · Hard

Center of Mass, Momentum and Collision: Advanced — COM of Composite MCQ

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Advanced — COM of CompositeHardQuestion 30571

Question

A square (side 2a, mass 4m) has a circular disc (radius a, mass m) placed at one corner. The COM of the combined system from the centre of the square:
  1. A
    a/(5) toward that corner
  2. B
    a/4 toward that corner
  3. C
    √2 a/5 toward that corner
    Correct
  4. D
    3a/5 toward that corner

Correct answer

√2 a/5 toward that corner

Explanation

Square COM at (0,0). Disc COM at corner: (a,a). System COM: (m×a/(m+4m), m×a/(5m)) = (a/5, a/5). Distance from origin = √2×a/5.

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