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A particle is executing simple harmonic motion with angular frequency ω then angular frequency of its kinetic energy will be:

A particle is executing simple harmonic motion with angular frequency ω then angular frequency of its kinetic energy will be: Correct Answer 2ω 

CONCEPT:

Simple harmonic motion
  • Simple Harmonic Motion or SHM is defined as a motion in which the restoring force is directly proportional to the displacement of the body from its mean position.
    • The direction of this restoring force is always towards the mean position.
  • Amplitude: It is the maximum displacement of the particle.
  • Time period: The minimum time after which the particle keeps on repeating its motion is known as the time period.

EXPLANATION:

  • Since in one complete cycle of the SHM, there are two instants when the kinetic energy of the particle becomes maximum.
  • Hence, if the angular frequency of the SHM is 2ω, then the angular frequency of the kinetic energy will be 2ω.
  • Hence, option 3 is correct.

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