Rott's Chaotic Pendulum

Rott’s damped double pendulum exhibits two modes of motion: regular, linear, and predictable, the other is chaotic, nonlinear, and unpredictable.
When the frequency of the entire pendulum system is one half of the red pendulum, the two pendulums draw energy from each other at a slow periodic rate. The exchange of energy period contains many pendulum-oscillation periods and this motion reproduces itself with great accuracy.
When one pendulum oscillates with maximum amplitude, the other stands almost still and the process reverses itself as the energy passes from one pendulum to the other. This process, which is associated with low energy and small amplitudes, is linear, including the coupling effect.
At very large amplitude oscillations, especially when the pendulums have enough energy to overturn (high-energy initial conditions), the behavior becomes chaotic. Chaotic or unpredictable behavior is usually associated with sensitivity to the initial data. Chaotic behavior implies that two slightly different initial conditions give rise to solution that differ greatly, one of the defining features of chaotic dynamical systems.
Chapters
00:15 Anatomy of Rott’s Pendulum
00:35 Rott’s Pendulum - Regular Motion
01:23 Rott’s Pendulum - Chaotic Motion, clockwise
02:30 Last gasp: red pendulum overturns 11 consecutive times
03:57 Rott’s Pendulum - Chaotic Motion, counterclockwise
Check out uncoupled Wave Pendulum which glows in the dark: • Lego Damped Wave Pendulum
Watch other chaotic pendulums in action at:
Triple Pendulum Chaotic Acrobatics: • Triple Pendulum Chaoti...
Double Pendulum Chaotic Gymnastics: • Double Pendulum Chaoti...
Double Pendulum Displays Chaotic Motion: • Double Pendulum Displa...
Double Pendulum Chaotic Acrobatics: • Double Pendulum Chaoti...
Chaotic Motion with Two Coupled Pendulums in Resonance: • Chaotic Motion with Tw...
Watch other coupled pendulums exchanging energy:
Lego Coupled Pendulums with Magnets: • Lego Coupled Pendulums
Electrostatic Coupled Oscillator with Door Chimes: • Electrostatic Coupled ...
Music
Title: Down The Street Blues
Artist: Unicorn Heads
Album: River Radio, Released 2018

[@davidziemkiewicz1350]

Fascinating. Some fragments of the chaotic motion resemble the action of a trebuchet. To think that people figured this out, just by trial and error, in middle ages...

[@AmiVarsano]

Thank you David! You made an interesting observation. Also, the potential energy stored in the trebuchet is transferred into kinetic energy in the projectile, while kinetic energy invested in the pendulum, propels it until friction stops the motion. Ami

[@arctodussimus6198]

This is what I want for Christmas 😎

[@AmiVarsano]

Shame on me! I should have chosen red and green instead of red and black. Well, maybe next time.

[@MissBevsta]

Dear santa... Me too 😍

[@KEvronista]

hm. had you not pointed out the points at which the energy exchanges occur, i wouldn't have recognized the phenomena. now, i can't not recognize them. KEvron

[@AmiVarsano]

It worked! It worked! This was a setup and you fell for it! Ami

[@KEvronista]

@@AmiVarsano burgers, says i! KEvron

[@AmiVarsano]

@@josephastier7421 If you blink, you'll miss it.

[@johnharry5262]

Once you added spin to the system it can no longer be described as simple pendulum motion. It is now spin plus pendulum, a different situation.

[@fredfredwerd4566]

The song describes it perfectly

[@AmiVarsano]

Thanks!

[@folchandre]

Amazing to watch... what if both sides have a ball bearing?

[@AmiVarsano]

Thank you! I've installed two ball bearings on the same axle but could not detect and difference in performance. If you are interested in watching a pendulum with two bearings on the same axle, here it is: Double Pendulum Chaotic Gymnastics kzbin.info/www/bejne/e5uxcqyFe8iqpcU

[@folchandre]

@@AmiVarsano Wow! That's really interesting! Thanks for sharing that link!

[@jasminetaank4847]

hi! is there any where i could find a breakdown of the physics going on here? as in the equations and what values are being put into the equations...kind of a silly question but I really would love to learn more about this stuff!

[@AmiVarsano]

That's not a silly question; curiosity is key to learning. Here are 2 sources, the first, offers a non-mathematical explanation: www.scienceabc.com/pure-sciences/what-is-a-double-pendulum.html The second, contains a mathematical analysis: web.mit.edu/jorloff/www/chaosTalk/double-pendulum/double-pendulum-en.html Enjoy it.

[@schumacherenator]

Hell yeah

[@juanpablotupper691]

HOw does the conservation of energy/inertia in the chaotic movement compared to that of a regular regime for a pendulum of same characteristics?

[@AmiVarsano]

Great question. There is neither conservation of energy during chaotic motion nor regular regime with Rott’s pendulum because it is not a closed system. Over time, energy in the pendulum is converted into heat, sound, and air movement due to friction and drag. The motion of Rott’s pendulum is rotational and so we can consider the moment of inertia which is a measure of an object’s resistance to rotational motion. But again, Rott’s pendulum is not a closed system and therefore the moment of inertia is not conserved.

[@SINANOZYOLDAS]

I am ready to carry out the electricity generation project with angular resonance together with investors who agree to make an official protocol. I have worked for 15 years for this project. After the official signatures are signed, everything will be done openly. 98% of the videos published on are wrong and do not work. I know the mistake they all make.

[@SunDance00]

Again we learn that chaos make no sense

[@AmiVarsano]

Weather is a chaotic system and forecasts are continually improving, so you figure out whether it does or doesn't make sense.

[@burningfarts]

Is there a link to purchase one, or did you make it yourself?

[@AmiVarsano]

This was a "Do It Yourself" project and I made it at home (on my kitchen floor). Instructions on constructing similar pendulums using acrylic are available from Make Magazine at kzbin.info/www/bejne/mmOoZqKln9SLoM0

[@Vjklv-ty7mn]

can i make this from iron..i am a metal worker and have a bunch of scrap metal..mostly iron...if i make all pieces correct size and they are all the same material will it work like this?...is it better if its very light like 2 milimeter plates or heavyer?

[@AmiVarsano]

5-millimeter-wide iron can store more energy than 2 millimeter, so when you apply the torque manually, the pendulum should oscillate for a longer period before friction makes it stop. Otherwise, this should work well.

[@edwarddavidson868]

Reminds me of ballet for some reason.

[@AmiVarsano]

Yeah, you could think of it as a duet dance choreographed for the red bar and black L-shaped arm of the pendulum.

[@Jayeeyee]

Pretty sure its battery powered.

[@AmiVarsano]

Yeah, if you call my biceps "battery"

[@robert02588]

1:37 lol it looks like some mobile phone game animation

[@AmiVarsano]

This pendulum is made of stuff that you can feel and touch.

[@tantitan8573]

Somehow, I saw nazi's swastika is spinning fast, not pendulum

[@Alex-is-a-daddy]

看我的双截棍哼哼哈嗨

[@mohnjarx7801]

When he spins it fast it looks like a stick figure guy falling down the up escalator

[@AmiVarsano]

Sometimes he even falls back. Let's hope he survives the fall.

[@Dominik40301]

If this actually works it would be an perpetual motion machine, but it will stop going slower and slower.

[@AmiVarsano]

If it is a perpetual motion machine why "will stop going slower and slower"? Isn't this contradictory?

[@Dominik40301]

@@AmiVarsano As i said, if it actually works it would be perpetual motion machine. But this isnt the case since this toy goes slower and slower until it stops. Perpetual motion machine would not stop, or lose speed so quickly.

[@johnnyllooddte3415]

and

[@AmiVarsano]

and?

[@quazar912]

why the hell did I waste my time and watch this???