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In simple harmonic motion, the speed of the body is maximum

Correct answer: B. at the mean position

  • A. at the extreme positions
  • B. at the mean position
  • C. midway between mean and extreme
  • D. everywhere, since it is constant

Explanation

At the mean position the displacement is zero, so all the energy is kinetic and the speed peaks, while at the extremes the body is momentarily at rest with all the energy stored as potential. The total energy stays constant throughout, simply exchanging between the two forms twice every cycle. Acceleration follows the opposite pattern to speed.

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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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