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A Simple Harmonic Motion (S.H.M) has amplitude A and time period T. Its maximum speed is:

Correct answer: D. 4Πa/T

  • A. 4A/T
  • B. 2πA/T
  • C. 2A/T
  • D. 4Πa/T

Explanation

In Simple Harmonic Motion (S.H.M), the maximum speed Vmax is attained at the equilibrium position (mean position), where the acceleration is maximum. The maximum speed is directly proportional to the amplitude of the motion and inversely proportional to the time period. Therefore, Vmax =2Πa/T ×2, which simplifies to 4πA/T .

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About Simple Harmonic Motion

Simple harmonic motion is oscillation in which acceleration is directly proportional to displacement and directed toward the equilibrium position. Work includes displacement, velocity, acceleration, phase, period, frequency, amplitude and energy, with applications to springs and simple pendulums. The restoring force and the conditions for SHM distinguish it from general periodic motion.

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