Pendulum with spring instead of rod

AI Thread Summary
The discussion revolves around the complexities of modeling a pendulum that uses a spring instead of a solid rod. Unlike a simple pendulum with one degree of freedom (the angle), this setup introduces two degrees of freedom: the angle and the spring's extension. Traditional methods like Euler's or Runge Kutta are mentioned as suitable for simpler models, but the spring complicates the equations of motion. Lagrangian mechanics is suggested as a standard approach to derive the necessary equations for this non-harmonic oscillation. The conversation emphasizes the need for a dedicated thread to maintain forum organization.
nneutrino
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When we have solid rod instead of spring I can solve this problem in Microsoft Excel either with Euler´s method or Runge Kutta method, but that spring makes this problem hard for me.
 
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That problem is a lot more complicated. Basically, instead of the one degree of freedom that you had for the simple pendulum (the angle), you have two (the angle, and the extension of the spring). The standard way to solve such a problem is to obtain the equations (note that I said it in plural) of motion with, say, Lagrangian mechanics. To keep this thread dedicated to its original title (Non-harmonic oscillation of pendulum) it would probably be better if you created a new thread with this question to keep the forum neatly organized. :oldbiggrin:
 
Hi,
Can you help me to find out appropriate numerical model of calculating position depending on time of special pendulum. It is basically gravity pendulum but we have a spring instead of rod. (picture)
300px-Simple_gravity_pendulum.svg.png
 
Thread closed for Moderation...

Edit (fresh_42): Post #3 is actually the opening post, which has been separated from another thread.
Thread re-opened.
 
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