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Which one of the following is a simple harmonic motion?

Correct answer: A. Wave moving through a string fixed at both ends.

  • A. Wave moving through a string fixed at both ends.
  • B. Earth spinning about its own axis.
  • C. Ball bouncing between two rigid vertical walls
  • D. Particle moving in a circle with uniform speed.

Explanation

In SHM, the motion is periodic, and the restoring force is proportional to the displacement from the equilibrium position. A wave moving through a string fixed at both ends is an example of simple harmonic motion. The restoring force provided by the tension in the string is directly proportional to the displacement, and the motion is periodic and repetitive. This type of motion is commonly observed in various wave phenomena, such as water waves, sound waves, and electromagnetic waves.

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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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