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In the case of a vibrating pendulum, the potential energy is maximum at:

Correct answer: B. Extreme Position

  • A. Mean position
  • B. Extreme Position
  • C. Both a and b
  • D. None

Explanation

The potential energy of a simple pendulum is given by:U=mghWhere:m= massg= gravitational accelerationh= heightIn the context of a vibrating (oscillating) pendulum, the potential energy is related to the displacement from the equilibrium position. At the extreme position (maximum displacement from the equilibrium), the height h above the reference point is maximized. This results in the maximum potential energy for the pendulum.

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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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