Which of the following is an example of simple harmonic motion?

  1. Earth spinning on its axis 
  2. Simple pendulum motion
  3. Ball bouncing on floor
  4. Motion of a ceiling fan

Answer (Detailed Solution Below)

Option 2 : Simple pendulum motion
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Detailed Solution

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CONCEPT:

  • Simple Harmonic Motion (SHM): Simple harmonic motion is a special type of periodic motion or oscillation where the restoring force is directly proportional to the displacement and acts in the direction opposite to that of displacement.
    • Example: Motion of an undamped pendulum, undamped spring-mass system.

The equation of shm is given by:

Y = A Sin (ω t + θ)

Where A is amplitude, ω is the angular frequency, t is time and θ is the initial phase angle

EXPLANATION:

  • Oscillation is going back and forth repeatedly between two positions or states. Oscillation can be a periodic or aperiodic motion.
  • The motion of a simple pendulum is an example of simple harmonic motion.

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