Chaotic pendulum - guess when it will stop flipping
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- Опубліковано 25 сер 2024
- I pendulum attached to the end of another pendulum will swing chaotically. It's really hard to predict when it will stop flipping. Give it a go!
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The real chaotic pendulum has a knife at the end
Its like Russian roulette, but more mathematical.
@@JacobRy more random
IIAOPSW stage hazard for the knife roombas
Chaotic evil pendulum
IIAOPSW have you seen the box with the tentacle knife at the end
I really liked the overlay! I'm here because of Objectivity
+SmarterEveryDay Hey Destin. Big fan of Smarter Every Day! Thanks for checking out my channel.
+SmarterEveryDay Objectivity also sent me here :)
+SmarterEveryDay anyone send me to there
+SmarterEveryDay I'm surprised how similar take one and two actually were. Usually the chaos appears much more drastic.
+SmarterEveryDay I'm surprised how similar take one and two actually were, especially toward the end. Usually the chaos appears much more drastic.
3:33 I want to find love the way Steve Mould stares at a double pendulum 3:33
My life is more chaotic than this pendulum.
Steve: posts video
"Four years later"
UA-cam algorithm: and you'll get recommended
oh wow, just noticed it's 2015. anyways, it's 3:47 for me
NOV 2019, video showed up on my recommended.
@@matthewcales8037 same
Know that one.
The real chaotic system: UA-cam recommendations
3:28.
admit it, when you said "completely different", after releasing it for the 2nd time, you briefly distrusted physics and thought about how you'd have to retake the shot if it for some reason turned out to be too similar:)
You got me!
+Steve Mould You should play 2048 hexagonal version, on the biggest grid the goal is a tile larger than 1,000,000!
2020 is a chaotic pendulum
Me: Surely now, the final flip has happened
2020: Nope, still got more to give!
so is 2021
No, no, we definitely had some expert models, that shit was predictably bad... the only variable that was unexpected was quite how stupid, stubborn, and lazy people were going to be... but that's what happens when an evil orange with mold for hair poisons a culture that's all too eager to be poisoned
3:26 for me, will edit once I watch the rest // edit: Damn, still had a lot of momentum apparently! Interesting to see that, thanks for involving us a bit in the video :)
3:40
... and then it immediately flipped again when I pressed play. Son of a bitch.
But only 2 more flips in the one swing :(
3:41 Missed it by one flip!
Jivan Scarano same
it was 3:44 the last flip was made
Same here!
Damn i did too!!!!
Same.
Went to hit the space bar, another flip happened and I literally paused exactly as it passed through again! Amazing! Nobody could get closer to that... at 3.32... Oh, turns out my next 2 guesses were wrong as well. I like this game! Can we have another dozen videos of the pendulum to play with please :-) Come on, it's been 6 years after all! (hopes he hasn't missed another13 of these videos)
The fact you have a permanently installed chaotic pendulum in your house is the single most hilarious and awesome thing I've seen all year.
Didn't end up pausing. I kept thinking it would somehow manage to flip again
Yeah, same. Does that make me an optimist? :-)
After what ended up being the last flip, I was thinking the next one is going to be last, but it never happened.
I don't understand how such a chaotic pendulum is possible
I waited too long, but was fascinated by your video. Thank you for posting. I would like to know how we know that this is chaotic, how sensitive must a system be to initial conditions for us to call the system, "Chaotic?" Is it provably chaotic?
I think it is. Chaos has a rather rigorous definition and the way I think about it is that a system is chaotic only when there is no threshold of accuracy (like “you must get the initial conditions to the 9th decimal place” or sth) that you can reach to get reliable results. Ie it is either bang on the exact initial conditions and or nothing.
3:41
Edit:I'm as confused as a chameleon in a bag of skittles.
Me too
@@hello9004 scary godmother
Same lmao
It's like jamming in a band and trying to guess when the guitarist stops soloing.
Idk why this thing is so hilarious. Laughed my butt off
I was waiting for the time, that it would flip in the lowest possible position and as slow as possible. That meant that it had exactly enough energy to flip, but it would lose some of it so it would not be possible to flip again
3:30
i also appreciated the overlap to show the variation of motion, nice trick!!
4 years later, 3:30
I guessed 3:30 as well
Dunno how to time stamp, but 3:28
Steve:this pendulum is the hardest thing to predict
UA-cam recommendations: allow us to introduce ourselves
The only funny UA-cam recommendation joke
@DeepSound Art fax
@@magica3526 I agree
Somehow this video popped up right after I randomly thought about chaotic pendulums.
A butterfly beats it’s wings in the Amazon..
Steve Mould’s pendulum flips an extra time..
3:38, but I'm probably wrong
Edit: yep, I was close but still too early. Also, I just realized this video is 4 years old...
Wait what...
Hahahahahah
Idiot
Algorithm Gave me this to day
me too, but it was pretty cool
2:33, fuck.. He said that if I pause the video I must comment the timestamp
lol
3:43 - although I suspect I've gone too early .. nope, was spot on.
3:49 - Looks like it's finally lost enough energy now. The black section isn't going more than a few degrees either way and it's been about three seconds since last pink flip, with it looking like it just can't make it any more.
2:33 had to go to the bathroom
Weak
Fuck I thought she had another one in her.
Yeah same xD
She?
If you wanted "before the final flip, without going over," you could've just said. "The Price is Right rules." (3:37, btw)
3:31, but only because you said I had to...which immediately led to the temptation to cheat, but I didn’t and thus I was incorrect
3:39 but at least 4 years late. I loved this chaotic pendulum in my physics classroom.
4:11 I think it stoped
Lol
U r too far
I think the second bar will flip twice clockwise before stop flipping
Fuck. it flipped once before stop
July 1st 2020 at 12:22:34 Pacific. I really hope no one else watches this video because thatd definitely be the last time we see that pendilulum flip
3:50, funny how predictive it is, estimating how much energy it has left !
I was like gambling saying "one more flip" and i missed it entirely
Missed it, was certain it could flip again.
3:30 and I just saw someone else with the same time 😂😂😂😂 those 2 seconds of non flipping is getting to our head even tho we're well aware it's too little time to judge
3:51. In the spirit of honesty I initially went to pause it at around 3:40 but it flipped like crazy just as I was tapping the screen so I stopped 😂
This is a chaotic pendulum, it's motion is---WHACK
0:15 : "Chaotic means there is no equation you can come up with... which will give you the position of the arms in the future in a reliable way."
This statement can be misleading for the uninitiated. You're technically correct, but that is not the reason of Chaos.
You can definitely come up with the "certain" equations. Reason why chaos happens is because you don't know the exact value of the "Parameters" and/or the (initial) "Variables" which you have to feed to the equation. And since the equations of such systems are non-linear, small mistake in these parameters/variables can propagate to big changes, and so the system becomes unpredictable over long period of time.
Nope. Computing the future state is not only impossible in a physical sense as you suggests, It is impossible even in the mathematical sense. You can come up with the differential equations describing the evolution (obviously), but you cannot write down an equation that explicitly computes the state as a function of any given point in time. Series expansion with infinite number of terms, or timestepping with infinitely small steps will do you no good. Given that there is no analytical solution, whatever scheme you propose for advancing such a solution through its algorithmic steps, will serve the same role as physical unknowns/disturbances.
@@eelcohoogendoorn8044 I think he meant the same thing you said...that we can get a general differential equation of motion but that is pointless in mathematical sense also as we can't get the particular equation that can predict the space coordinates from time coordinates
@@chiranjitray760 His literal words are strictly about uncertainty in initial conditions, like a physical measurement problem; but even given mathematically exact initial conditions, it is still mathematically impossible to extrapolate to arbitrary timepoints in a convergent manner. And contrary to what is stated, yes, that is the essence of chaos in a mathematical sense.
3:00 I panicked after the first flip. It the flipped 35 times in the next 20 seconds...
Wait a minute, that should comply with the mathematics of two object intersecting orbits. Like for example, when a larger orbiting body captures a smaller orbiting body with enough energy to eventually eject its self.
3:32
I can already see it flipping again fml
I had the same guess lol, flips a thousand times rigjt after that.
Same
No one:
Weebs with butterfly knives: 0:50
That is literally my friend
Literally me.
LMFAO!
I paused the video around 3:00 mark! And as my intuition suggested not to tempt myself going through the comments section below! My unlucky guess would be that it should stop flipping around time mark around 4:00 secondly although this video is 5 years old but I just stumbled upon it and thought to honour your request as per for pure science sake!! And glad that I discovered a good UA-cam channel which can always indulge your mind in a healthy way with a sheer British humour on top! A fan and an admirer from Pakistan!
Why did I never have a science teacher like you?
So what if you used the chaotic pendulum in a vacuum and put it in the exact same position?
Plank's Brother, Mike you still couldn't really recreate it
Plank's Brother, Mike like he said, not unless you could get every single molecule in the right place.
(And the whole thing to exactly 0 kelvin, which isn't even possible)
Since chaotic systems rapidly amplify any differences in starting conditions.
Plank's Brother, Mike
Yea like if a robot set the position
HumorVortex Mosco A Robot will not be able to be precise enough :/ To get it to do the same thing, The position would have to be precise by micrometers, if not even nanometers
read comment again. 100% faceplam
3:44
Edit: Steve's face while looking at the pendulum is beautiful
@@funtechu I want Steve to look at me like he looks at the pendulum
3:50 it's clear it has no more energy by that point so the last flip must have been the one at 3:44
Please revisit this, Mould.
3:44
Okay that's pure damn luck
Edit: Okay I just realized that this video is 4 years old
lmao yeah me too. i paused it at 3:45. a tad late tho
@@TeeRexWrecksFace same
Same to both of you actually
Wizard! Where are my tools for making a bonfire...
xD
Please Do a triple pendulum!
Watched twice but couldn't figure out any end point before you stop it.
3:31 was my pause, saw it slowing down quite a bit but just as i paused it it flipped once more, however, no lying!
3:02
i paused to go to the toilet...
im not here to guess, just watch you staring at it dead, like a zombie lol
I have a chaotic pendulum app from the game store, and it's awesome! 🖖
3:32 EDIT: damn, it flipped like a million more times
3:48
Edit. Turns out I was late. The way it seems to work is like two rods randomly moves rotational energy to each other. When the longer rod is pointing down without moving, the shorter spins like crazy. And vice versa.
3:43 and then it fliped the second i played the video :(
3:59 is when it kinda died off and just a few seconds before that is the last flip 🤷♂️
3:28 seems promising, but I don't actually believe it will ever not flip anymore until the whole pendulum just stops entirely.
My guess is 3:32
COME ON! I unpaused the video and it just did like, 5 flips!
Naviron Ghost 8 flips
Naviron Ghost SSSAAAAAMMMEEEE
3:45 - I really want a chaotic pendulum now.
3:24 but I can already see by the motion blur how wrong I am. Look forward to watching this again with timed comments enabled.
3:41
Edit: Turns out there was still energy left for one more.
3:42
Damnit 1 flip away :P
Anki lel same
Anki omg I did same
Anki same
yeah i paused at the same spot but instantly regretted it, it looked like it might flip right as i paused it but it was just a little after
3:28, waiting for the top of the pink one to not reach the height of the joint.
3:43, was starting to worry it had already done the last flip though
3:34
Edit: right before it spun a bunch >.
DynamicWorlds i saw that one and then it stopped flipping for a while, I went "oh no! I've missed it, I'll have to get the next one if there is one." And then I got it right.
But only by accident I guess.
0:00
damn! so close.
On the universal scale, everything is close.
It looks like there’s some kind of motor in it (though there isn’t)
im goimg to save this for Saturday
3:48
... I think I was overly cautious this time around.
Exactly what I did, 3:48. Should have done a couple seconds earlier
3:48 as well
3:28... Here's to hoping
Edit: Well I suppose if I learned anything from the nonlinear dynamics course I took last year, it's that this stuff really is rather hard to predict intuitively. If anyone's interested in learning a bit of the math behind systems like this, that class I took was based off a textbook by Professor Strogatz at Cornell. Strogatz's actual lectures for his version of the course are actually uploaded in full on UA-cam (and they ended up helping me a bit when I was studying). Searching "Strogatz nonlinear dynamics" will lead you to a neat little playlist of videos. Awesome video, by the way! Great channel, and looking forward to your other content.
3:35 I wasn't as unsure as now ever before in my life
3:49 I think I missed it a few seconds before. But it may still surprise me. At least that's more than 1 second before the end of the video.
There should be a robot and a laser scanner that can reset it precisely. This will *_really_* highlight how infinite chaos truly is.
I like your thinking
What about the movement of air?
@@ariuss3009
That's my point
@@ariuss3009
But...what if this is rigged in a vacuum? Still would probably never be the same.
3:00
Edit: Wait, I think I've messed this up
3:35 final flip oh, why do I got the feeling I'm way off
I paused at 3:30 as that's where I feel certain that there is no longer enough momentum in the pendulum for it to flip again, anyway on with the rest of the video.
3:32 but just watching 1 second ahead i already see i lost lol
I paused it at 3.32 too and scrolled down the comments to see if it was right or wrong XD
I think that possibly the best chaotic pendulum I've seen. Was it bought, or home-made?
3:43 hit the penultimate flip and I'm not even upset
3:44
Edit: dang it off by one flip
i did stop it at 3,41 and bugger did just two more flips right after!!! >______
3:42 let's guess
Edit: God damn it, 2 seconds later!!!!
3:48 playin for myself lol, it's not that hard if you only look at the top bit, you can tell how much energy the system has by its max amplitude when the bottom bit is in a relatively low energy state and kinda watch it slow down.
Guess I'm just not exciting, 4:05... Expected it to do one more miraculous flip.
03:42
EDIT: It was the flip before the last flip xd
3:44 i feel because it's barely making it through now. Maybe 1 or 2 more.
You got it
@@thedillestpickle I was off by "maybe 1 or 2" 😅
3:33
This reminds me to the "Knife wielding tentacle" video...
i was so entranced by this flippy thing that i forgot what i was even doing until steve grabbed it. XD
4:04 - thought you were gonna ask the number of total flips -- my initial was 946 would have been way high i think
I was waiting for that last flip. But it had already happened and I realized I was too late just before you stopped it XD fun video doh! Cheers.
3:50
Though I wanted to pause earlier but by the time I had moved my finger to pause it had flipped again so I waited a bit more 😉
3:56, took a long time for me to be sure.
3:47, but I think it might have juice for a few more last minute flips
3:39 I have a feeling
Edit: bummer still flipped