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Question 31187
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Simple Harmonic Motion: SHM in 2D MCQ

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SHM in 2DHardQuestion 31187

Question

Superposition of x = A sinωt and y = A sin(ωt + φ) gives a circle when φ equals:
  1. A
    0
  2. B
    π
  3. C
    π/2
    Correct
  4. D
    π/4

Correct answer

π/2

Explanation

x = A sinωt, y = A sin(ωt + π/2) = A cosωt → x² + y² = A². Perfect circle. Any other phase: ellipse or line.

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