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Superposition

Superposition. Year 11 Physics. Some useful links showing animations of wave superposition. Here is three links to websites which provide good animations of wave superposition. http://www.kettering.edu/~drussell/Demos/superposition/superposition.html

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Superposition

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  1. Superposition Year 11 Physics

  2. Some useful links showing animations of wave superposition. • Here is three links to websites which provide good animations of wave superposition. • http://www.kettering.edu/~drussell/Demos/superposition/superposition.html • http://www.colorado.edu/physics/2000/applets/fourier.html • http://id.mind.net/~zona/mstm/physics/waves/interference/waveInterference2/WaveInterference2.html

  3. Two simple pulses • The following is an animation of the superposition of two pulses approaching from different directions.

  4. Two waves in same direction • The following is an animation of the superposition of two sine waves of same frequency and amplitude but travelling at slightly different velocities.

  5. Two waves in opposite direction – ‘Standing Waves’ • The following is an animation of the superposition of two sine waves of same frequency and amplitude but travelling from opposite directions. • Note how the resultant wave is a ‘Standing Wave’

  6. Two waves of slightly different frequencies – ‘Beats’ • The following is an animation of the superposition of two sine waves of slightly different frequencies travelling in the same direction. • Note how the resultant wave is a ‘Beat’ with a much lower frequency

  7. Captured Waveforms from a Yamaha Clavinova Digital Piano • Sound waveform for a Grand piano

  8. Captured Waveforms from a Yamaha Clavinova Digital Piano • Sound waveform for Vibraphone – G above middle C • Note how the waveform is more sinusoidal

  9. Captured Waveforms from a Yamaha Clavinova Digital Piano • Sound waveform for Vibraphone – two G’s above middle C • Note how the waveform is more sinusoidal and is now twice the frequency of the previous slide

  10. Superposition on the Digital Piano- The individual notes are played • Firstly, here are waveforms for the note G above middle C and the next D above that note. Each note has been played separately. G above Middle C The next D above this G note

  11. Superposition on the Digital Piano- Both notes played at the same time • Here is the waveform for when the note G above middle C and the next D above that note are played at the same time. • Note the complex resultant waveform produced.

  12. Captured Waveforms from a Yamaha Clavinova Digital Piano- Decaying of waveform • The following is an animation of a grand piano note been played showing the decay of the signal. • (Mouse click in the middle of the image to start the animation)

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