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Physics 321

Physics 321. Hour 13 Driven Oscillators and Fourier Transforms. fourier_osc.nb resonance_width.nb. Example. Natural frequency with damping is slightly different than without damping Starting from rest, the system tries to oscillate at the natural frequency

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Physics 321

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  1. Physics 321 Hour 13 Driven Oscillators and Fourier Transforms

  2. fourier_osc.nb resonance_width.nb Example

  3. Natural frequency with damping is slightly different than without damping • Starting from rest, the system tries to oscillate at the natural frequency • In time, it oscillates at the driving frequency • The resonant frequency is close to the natural frequency • Below resonance, the oscillation is in phase with the driving force. Above resonance, it is 180° out of phase. • The energy in an oscillation vs frequency is proportional to the response function, • The FWHM of the response function is about . • The response function at a given frequency is proportional to the Fourier transform of the undrivendamped oscillation at that frequency. Driven Oscillators: Summary

  4. Q is defined in a driven oscillator as: This is equivalent to: Q-Factor

  5. The Q of a damped oscillator is Q-Factor

  6. Physics 321 Hour 14 Test Review – See Handout

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