What equations are used for coupled pendulums?

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The discussion focuses on the equations relevant for analyzing two separate pendulums connected by a string, excluding those that are conjoined or have springs between them. Key equations mentioned include energy conservation (∆E = mg∆h), velocity (v = √2g∆h'), period (t = 2π√l/g'), and frequency (f = 1/t). There is a request for clarification on the system's dynamics, including a diagram to illustrate the setup. The conversation also touches on exploring dependent and independent variables when adjusting the pendulums' lengths and their distance apart. The impact of delays in perturbation transmission between the pendulums and the connecting string is also considered.
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This is for just two separate pendulums on a string, not conjoined pendulums or ones with a spring between them. All I can think of is ∆E = mg∆h, v = √2g∆h', t = 2π√l/g' and f = 1/t.
 
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Callum Johnston said:
This is for just two separate pendulums on a string, not conjoined pendulums or ones with a spring between them. All I can think of is ∆E = mg∆h, v = √2g∆h', t = 2π√l/g' and f = 1/t.
I do not understand the system. could you explain the situation with a diagram? Also, what is the question?
 
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What equations could you use to explore the dependant and independent variables if I plan to change the length of the pendulums and the distance between them?
 
It's the same as with a spring between them. The spring here is essentially the string connecting them at the top.

I suppose you could consider a delay as the perturbation travels from the swinging part to the spring string.
 

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