All of the following are the examples of free oscillation EXCEPT

Correct answer: C. Motion of a child on a swing.

  • A. Prongs of a tuning fork.
  • B. Bob of a simple pendulum.
  • C. Motion of a child on a swing.
  • D. Vibrating wire of a sonometer.

Explanation

Free oscillation refers to the motion of a system that occurs at its natural frequency after an initial disturbance, without any external periodic forces acting upon it. The prongs of a tuning fork, the bob of a simple pendulum, and the wire of a sonometer all exhibit free oscillations after being disturbed. In contrast, the motion of a child on a swing typically requires continuous external input (e.g., pushes) to sustain the motion, which does not qualify as free oscillation. Therefore, the correct answer is the motion of a child on a swing.

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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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