Synchronisation of 5 coupled metronomes done in Lancaster University, Physics Dep, Nonlinear dynamics and medical physics group.
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Synchronisation of 5 coupled metronomes done in Lancaster University, Physics Dep, Nonlinear dynamics and medical physics group. Emails related to this video can be sent to: a.bahraminasabNOSPAM at gmail dot com.
Some explanation by 'shoonya' which I think is pretty good:
Here you go: metronomes (or "pendula") when on table, oscillate with random phases, since that is how they started and they are "uncoupled" (no energy/information flows from one to other so they do not "know" each other.) When they are all together on the cans, notice that the cans themselves oscillate little, providing coupling/information crossover. which forces "synchronization" in periodic systems (discovered by Huygens in 17th century).
A useful book: "Synchronization: A Universal Concept in Nonlinear Sciences " by Arkady Pikovsky, Michael Rosenblum and Jurgen Kurths.
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This is actually a demonstration of damped harmonic oscillation. The metronome needles are at the same speed & the only variable left is time. When he adds the board there is a transfer of angular momentum because of the phenomenon of Angular momentum as a generator of rotation. As the soda cans move, angular momentum is being transferred from the needle, to the system & cans. This transfer of angular momentum is the damping force. This & conservation of angular momentum makes the needles sync
Does the fact that he uses an odd number of metronomes enter into it? If he were to use four or six, would their motion exactly cancel each other out, and destroy the synchronizing effect?
Not at all. It's specifically called the entrainment of frequencies. Where there is a forced vibration on each other. They then "lock" in time with a lower frequency afterwards. Hense the movement of the cans due to the conversation of angular momentum. Sorry if I was unclear before. I forgot the name of the phenomenon. Also, WHO PUT -1? Guess you don't know what your talking about
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