When damping is applied to a simple harmonic oscillator its frequency of oscillation changes from wo to a different frequency w. Show for a very lightly damped harmonic oscillator of quality factor Q that the fractional change in frequency is approximately equal to go remembering that (1-x)¹/21-/2.

When damping is applied to a simple harmonic oscillator its frequency of oscillation changes from wo to a different frequency w. Show for a very lightly damped harmonic oscillator of quality factor Q that the fractional change in frequency is approximately equal to go remembering that (1-x)¹/21-/2.

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Question

When damping is applied to a simple harmonic oscillator its frequency of
oscillation changes from wo to a different frequency w. Show for a very lightly damped
harmonic oscillator of quality factor Q that the fractional change in frequency is
approximately equal to 802 remembering that (1-x)¹/21-/2.

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