In S.H.M. the velocity of a particle is maximum at________________?
Correct answer: A. mean position
- A. mean position
- B. extreme position
- C. middle between the mean and extreme position on the right side
- D. middle between the mean and extreme position on the left side
Explanation
For SHM, v = ω√(A² - x²), so velocity is greatest when displacement x = 0. The mean position is therefore the point of maximum velocity, while velocity is zero at the extreme positions. Students often choose b because the particle reaches its greatest displacement there, but that is where its instantaneous velocity is zero.
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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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