None of them. The floating platform causes a resistance in swings which start slowing them all down. Those that are off rhythm the most get more resistance. Eventually, like an asymptote curve on a graph, they all begin to converge on each other.

Also like a asymptote curve they may never actually achieve a %100 sync because as a metronome begins to match its sync more, the more the resistance against it lessens, but as the resistance lessens the amount of force to correct it is less.

Cool, yes, but a bit passé - https://videosift.com/video/32-Metronomes-Become-Synchronized (2012)

Every single movie by PTA wow i'm just weirded out -- it's like there's a broken metronome of pacing that feels almost on beat and always escalating like Willy Wonka in that damn tunnel creeping me out about the rowers rowing.

Literally just used mine as a metronome the other day. So true hahaha, she rocks.

Yup, truly terrible.. The volume was not the issue, the dude needs to spend few weeks with a metronome.

176 seems almost as if he is arguing with the metronome

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>> ^messenger:

So would two pendulums of the same length hung from the same string (like on the Wikipedia page) be considered in phase, even though they have opposite patterns? What about the Wilberforce pendulum? Is it considered to be in phase?>> ^crotchflame:
You're right: a double pendulum is a coupled oscillator and is a good example. It's a coupled oscillator with multiple normal modes that can give it a complex motion even for small oscillations where it isn't chaotic - some would argue that at larger amplitudes it's no longer a simple oscillator so a lot of the terminology in use here doesn't apply. The point is that it doesn't settle into one coupled mode that is stable against perturbations the way phase locked oscillators would.



The two pendula on a string can be put into motion where they are in phase but they aren't phase locked because they don't have to stay that way. Like the example being shown on the wikipedia entry, they are mode coupling where one oscillates but loses amplitude as the other begins to move - this is the motion it will be in if you start one of them but not the other. If you set them both swinging at the same time from the same height they would be in phase but if you then perturbed them they would go into a more complex modal behavior so you couldn't say they are phase locked.

The Wilberforce is the same - if you just twist the spring, it will be twist back and forth for a while until it loses energy to the pendulum motion; it will eventually stop as the pendulum takes over and then it will start coupling back the other way. You can put the system in phase where the rotations and the swings are aligned in phase but the strong coupling allows them to share energy more rapidly and to take on more complex modal interactions.

So would two pendulums of the same length hung from the same string (like on the Wikipedia page) be considered in phase, even though they have opposite patterns? What about the Wilberforce pendulum? Is it considered to be in phase?>> ^crotchflame:

You're right: a double pendulum is a coupled oscillator and is a good example. It's a coupled oscillator with multiple normal modes that can give it a complex motion even for small oscillations where it isn't chaotic - some would argue that at larger amplitudes it's no longer a simple oscillator so a lot of the terminology in use here doesn't apply. The point is that it doesn't settle into one coupled mode that is stable against perturbations the way phase locked oscillators would.

>> ^messenger:

I'd imagine very few of them phase lock, no? Most of them result in chaos, I'd think, assuming a double pendulum counts as coupled oscillation.>> ^crotchflame:
>> ^draak13:
Actually, the answer is known as coupled oscillation
http://en.wikipedia.org/wiki/Oscillation#Coupled_oscillations

Oscillators have to be coupled to phase lock but not every coupled oscillator phase locks.




You're right: a double pendulum is a coupled oscillator and is a good example. It's a coupled oscillator with multiple normal modes that can give it a complex motion even for small oscillations where it isn't chaotic - some would argue that at larger amplitudes it's no longer a simple oscillator so a lot of the terminology in use here doesn't apply. The point is that it doesn't settle into one coupled mode that is stable against perturbations the way phase locked oscillators would.

I'd imagine very few of them phase lock, no? Most of them result in chaos, I'd think, assuming a double pendulum counts as coupled oscillation.>> ^crotchflame:

>> ^draak13:
Actually, the answer is known as coupled oscillation
http://en.wikipedia.org/wiki/Oscillation#Coupled_oscillations

Oscillators have to be coupled to phase lock but not every coupled oscillator phase locks.

>> ^draak13:

Actually, the answer is known as coupled oscillation
http://en.wikipedia.org/wiki/Oscillation#Coupled_oscillations


Oscillators have to be coupled to phase lock but not every coupled oscillator phase locks.

>> ^messenger:

Up. The answer is always up. It's a law. In this case, it's the amount of energy randomly dissipated through sound, the unwinding of the springs, and other movement. Unless you're being cheeky, in which case pretend I said something witty and didn't just kill the joke by explaining it.>> ^crotchflame:
Ah phase locking: http://salt.uaa.alaska.edu/dept/metro.html
Here's one to ponder: is the entropy of the system going up or down?



I was being a little cheeky. The entropy is going up but not only because of dissipation in the metronomes themselves: even if they were perfect, the system's entropy would increase as the coupled oscillators synchronized. I like it because it's a system moving towards what seems to be a more ordered state as the entropy increases.

Another free example: the gravitational collapse that turned a disordered molecular cloud into our current, well-structured solar system generated an enormous amount of entropy.

I saw these guys live once, it was a real banger of a show. My favorite part was when all the metronomes were in sync.

Up. The answer is always up. It's a law. In this case, it's the amount of energy randomly dissipated through sound, the unwinding of the springs, and other movement. Unless you're being cheeky, in which case pretend I said something witty and didn't just kill the joke by explaining it.>> ^crotchflame:

Ah phase locking: http://salt.uaa.alaska.edu/dept/metro.html
Here's one to ponder: is the entropy of the system going up or down?