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5- Coupled oscillators

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1
<p>What is the equation of motion for two coupled oscillators?</p>

What is the equation of motion for two coupled oscillators?

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2

What is a symmetric mode(x1=x2)?

  • Its where the oscillators move in the same direction (masses move together)

  • They move with the same amplitude

  • The system oscillates at the lower frequency.

<ul><li><p>Its where the oscillators move in the same direction (masses move together)</p><p></p></li><li><p>They move with the same amplitude</p></li></ul><p></p><ul><li><p>The system oscillates at the lower frequency.</p></li></ul><p></p>
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3

What is an anti-symmetric mode(x1=-x2)?

  • The oscillators move in opposite directions (masses have opposite motion)

  • They move with the same amplitude ratio

  • The system oscillates at the higher frequency.

<ul><li><p>The oscillators move in opposite directions (masses have opposite motion)</p><p></p></li><li><p>They move with the same amplitude ratio</p><p></p></li><li><p>The system oscillates at the higher frequency.</p></li></ul><p></p>
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