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Question 30553
JEE Physics · Hard

Center of Mass, Momentum and Collision: COM of L-shape MCQ

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COM of L-shapeHardQuestion 30553

Question

An L-shaped uniform wire has two arms: horizontal (3 m, mass 3 kg) and vertical (1 m, mass 1 kg). The horizontal arm's COM is at (1.5, 0) and vertical at (0, 0.5). System COM is:
  1. A
    (1.125, 0.125)
    Correct
  2. B
    (1.5, 0.5)
  3. C
    (1, 0.25)
  4. D
    (0.75, 0.25)

Correct answer

(1.125, 0.125)

Explanation

x_cm = (3×1.5 + 1×0)/4 = 4.5/4 = 1.125. y_cm = (3×0 + 1×0.5)/4 = 0.5/4 = 0.125. COM at (1.125, 0.125).

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