Where Can I Find Classical Treatments of the Two Body Harmonic Oscillator?

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Discussion Overview

The discussion centers around finding classical treatments of the two-body simple harmonic oscillator, specifically focusing on mathematical resources that do not involve Lagrangian or Hamiltonian mechanics, but rather rely on energy, momentum, and Newton's laws.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • Vivek requests resources for a mathematical treatise on the classical two-body simple harmonic oscillator, emphasizing a preference for classical mechanics without quantum treatments.
  • Some participants clarify that the topic involves two masses connected by a spring.
  • Robphy provides links to resources that may be relevant and suggests a search strategy to exclude quantum mechanics from results.
  • Vivek expresses gratitude for the provided links and seeks additional resources specifically related to energy discussions for the system.

Areas of Agreement / Disagreement

Participants generally agree on the focus of the discussion, but there is no consensus on the availability of specific resources related to energy discussions.

Contextual Notes

The discussion does not resolve the completeness or applicability of the provided resources, nor does it address any assumptions about the definitions of terms used.

maverick280857
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Hi friends

I would be grateful if someone could point me to a mathematical treatise (on the internet) about the two body simple harmonic oscillator (classical mechanics only, but no Lagrangian/Hamiltonian...just energy, momentum, Newton's Laws).

I am googling right now but all I find is mostly quantum mechanical treatments.

Thanks and cheers
Vivek
 
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Are you talking about something that is essentially two masses on the ends of a spring ?
 
Yeah kinda.
 
Try:
http://aix1.uottawa.ca/~jkhoury/oscillations.htm
http://www.scar.utoronto.ca/~pat/fun/NEWT1D/PDF/COUPLED.PDF

(btw, a googling strategy that might help is to include "-quantum" in order to prefer non-"quantum" results.
I googled: coupled oscillations -quantum .)
 
Last edited by a moderator:
Robphy, thanks very much for the links and the search tip. The second link was quite useful. Do you know anyplace where I can find energy discussions for the system?
 

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