What equations are used for coupled pendulums?

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SUMMARY

The discussion focuses on the equations relevant to analyzing two separate pendulums connected by a string. Key equations mentioned include ∆E = mg∆h for energy change, v = √2g∆h' for velocity, t = 2π√l/g' for period, and f = 1/t for frequency. The conversation also highlights the need for a diagram to clarify the system and explores how changing the length of the pendulums and their distance affects the dynamics, similar to a spring system. The concept of delay in perturbation transmission is also introduced as a factor in the analysis.

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Callum Johnston
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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 dependent 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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