NEET Physics Simple Harmonic Motion MCQ Question
Consider a diagram of a particle executing uniform circular motion with a center-directed radial acceleration. The particle's projection on the x-axis at any time t can be described by a specific acceleration equation. Which of the following equations correctly represents the instantaneous acceleration of the particle's projection executing simple harmonic motion?
a(t) = -ω²A cos(ωt + φ)
a(t) = ω²A sin(ωt + φ)
a(t) = -ω²A sin(ωt + φ)
a(t) = ω²A cos(ωt + φ)
Correct Answer
Detailed Explanation
The equation a(t) = -ω²A cos(ωt + φ) represents the instantaneous acceleration of a particle executing simple harmonic motion, as derived from the projection of radial acceleration in circular motion, per the NCERT context.
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