STANDARD Physics Simple Harmonic Motion MCQ Question
The displacement of a particle is represented by the equation y = sin³ ωt. The motion is
non-periodic
periodic but not simple harmonic
simple harmonic with period 2π/ω
simple harmonic with period π/ω
Correct Answer
Detailed Explanation
As sin³ ωt = (sin ωt)³ = [sin(ωt + 2π)]³ = [sin(ωt + 2π/ω)]³, y = sin³ ωt represents a periodic motion with period 2π/ω. Further, as d²y/dt² is not ∝ (−y), the function does not represent SHM.
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