Damping in a coupled pendulum system

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SUMMARY

The discussion focuses on damping in a coupled pendulum system, emphasizing the impact of increased damping on the separation of frequencies. It suggests implementing a damper in parallel with the spring to observe its effects on the "opposite" mode. Additionally, the conversation encourages applying arbitrary drag to each pendulum for further analysis. Understanding these dynamics is crucial, as they represent fundamental principles in physics.

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  • Coupled pendulum dynamics
  • Damping mechanisms in mechanical systems
  • Frequency analysis in oscillatory systems
  • Basic principles of LC resonators
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I was going through my old lab experiments ans stumbled upon a coupled pendulum experiment I did few years ago. Now That I have learnt about damping, I was wondering how a damping which would be present in the individual pendulums affect their coupling?
The beat frequency was equal to the difference in frequencies of the two normal modes. What would be the beat frequency in the case of damping present?
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From analogy with LC resonators, I think the increased damping will move the two frequencies further apart.
 
I think you should first think about putting a damper on (in parallel with) the spring. You know intuitively only the "opposite" mode would be affected. Work that through in detail.
Then put an arbitrary drag on each pendulum and work it out.
If you really understand this system you are looking at half of known physics IMHO. We use it over and over.
 
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