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F.P. Journe

Thanks for explaining!

 

But this phenomenon makes me more doubtful. I would imagine the vibrational forces coupling the two balances together at the moment of impact would be orders of magnitude less than external shocks acting on the balances as they move, and so only would affect synchronization after many periods (which is indeed what we see on startup)
If you want to do some citizen science, here's what I would do. First, obtain a set of data measuring the time it takes for the balances to sync on startup. I would imagine the results will be a range, depending on what the phase difference between balances happened to be on startup. If we get enough points to represent the whole range, then we can plug those into Andrea's equations to obtain an effective k. Once we know a k, then we can model how many periods it takes to re-sync given an external shock which knocks the balances off sync by however many 2pi/period.
It may be that the phase difference resulting from external shock will be corrected in a few periods so in the second timescale, or it may be longer. I believe that this is what BFP is actually asking for - however this goes much beyond proof of concept, as we are now working with empirical numbers. Just building a scale up model won't do, as you're interrogating the timescale of re-sync which depends entirely on the forces and constants specific to the working movement.

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