Pendulum Waves

Fifteen uncoupled simple pendulums of monotonically increasing lengths dance together to produce visual traveling waves, standing waves, beating, and (seemingly) random motion.
The length of the longest pendulum has been adjusted so that it executes 51 oscillations in 60 seconds, and the length of each successive shorter pendulum is carefully adjusted so that it executes one additional oscillation in this period. Thus, the 15th pendulum (shortest) undergoes 65 oscillations in 60 seconds.
Our apparatus was built from a design published by Richard Berg [Am J Phys 59(2), 186-187 (1991) doi.org/10.1119/1.16608] at the University of Maryland. The particular apparatus shown here was built by our own Nils Sorensen.
For more details see sciencedemonstrations.fas.harv...
Video courtesy of Harvard Natural Sciences Lecture Demonstrations, © 2010 President and Fellows of Harvard College

[@ixrym9678]

I saw a snake, spiral, christmas tree, DNA Structure, balls, agressive snake, some more balls and some more snake. What a journey.

[@kryrins]

Could have seen a billion things till it stops.

[@romeltano3021]

I see lots of garlic

[@rie8737]

@@romeltano3021 OMFG 😭

[@Abhishek-hy8xe]

Probably some backbones too

[@gamerslobyt6680]

And it was free, you didn't had to pay LSD for this Trip, dude I need one at home :D

[@cristiannicolas5349]

This video is: ✔ Life changing ✔ Informative ✔ Inspiring ✔ Heartwarming ✔ Useful ✔calming ✔Enjoyable ✔ Other

[@zynthanimate333]

*L I F E C H A N G I N G*

[@kxaerxn7003]

I saw this a million times.

[@idalygonzalez3954]

satisfying type though ;v;

[@matheusfuruwuka]

Bot?

[@claudiorosa3647]

life change??? nothing to see

[@anushiya1808]

0:24 : snake boi 0:33 : spiral 0:38 : disco ball/ light show 0:46 : powering up ultimate attack 0:53 : helix pattern 0:56 : swinging logs 0:58: helix pattern again 1:05 : disco party 1:08 : council of three 1:11 : disco again, they get invited to too many parties. 1:15 : spiral 1:23 : snek 1:26 : is it over? 1: 30 : nevermind

[@Percivaldimabuyu]

swing logs no its two sne

[@Mr.Parker27]

1:30

[@Hypertrophesio]

Can u pls edit comment and do it 1:30

[@Red-hot_Pyro]

Write in blue not black!

[@ScpVelvet]

@@Red-hot_Pyro what

[@genivaldopereiradasilva572]

Magnífico

[@siouxsiesiouxseyebrows]

🧛‍♂️

[@nguyentruongphu1383]

I'm just a poor boy nobody loves me

[@vimalravindran1055]

Well, this was surprisingly way more interesting than I thought it'd be

[@sisyphus9012]

I agree. But it is interesting just because of the ability of living organisms, to recognize patterns.

[@mr11zzz]

Yes.

[@imkuza]

I know right

[@matthiasrabanoson24]

How do we all see this until now?

[@yochi748]

true

[@Ace_Tails]

I need 10 hours of this.

[@issacstopmotions9432]

right click loop

[@minivinny7crl885]

Me too

[@syafira8149]

Gk bisa bahasa inggris

[@sandrogaluh8760]

And why you need this for 10 hour

[@minivinny7crl885]

@@sandrogaluh8760 he needs it to sleep maybe

[@depressed4587]

0:35 looks like they're spinning in circles!

[@Naruto-xk9qj]

0:46 I was so tripped out bro

[@aboutaorta2524]

I'm from 2076 and this waves still moving.

[@just-nat]

+Bakir Avdic Pfffft! Nice joke…

[@katakana1]

@Jeremy Mettler is on mobile... Yes, yes. His little kid may be mashing the word suggestions button...

[@The_Primary_Axiom]

Well I’m from cyberpunk 2077 age and it stopped.

[@mizbaibnbasher6269]

About AORTA So was we able to raid Area 51?

[@chroma9848]

these*

[@frapechinokelsey6451]

After 10 years KZbin be like its the correct time to suggest everyone.

[@lincolnoliveira3041]

Eliott

[@ROHAN-697]

Now 11

[@mxiicro7903]

I don't even understand what's going on but I'll just enjoy

[@ROHAN-697]

@@mxiicro7903 you surely can

[@thehitesh6464]

11

[@yagzefebektemur99]

Thanks Harvard Natural Sciences Lecture Demonstrations,now my brain hurts!

[@user-ug2uc1cs7t]

頭おかしくなりそうだけど、 同時に「科学ってすげえ〜！」とも 思わせてくれる神動画

[@nome4578]

sim

[@KanyeTroll]

The set of pendulums act like discreet samples of a sinusoid which gradually increases in frequency. It starts to look more and more 'random' until the frequency reaches the Nyquist Frequency - the wavelength equals two samples. At that point, 'aliasing' occurs: the frequency appears to decrease and go through the exact same process in reverse, until it reaches 0 and all the pendulums are lined up again.

[@tjonesauto]

I need you to make a post. That info was great.

[@gedesatya6372]

Not really random -- since the increase is gradual, you can see that the pendulums reach 90 deg. (0:42) and 120 deg. (0:46) phase when the pendulums look like they are divided into smaller parts (360/90) and (360/120)

[@fatmagamal3701]

I thought of it like Fourier series, it's multiple harmonics that sum up to make one sinasudal wave and repeat itself again.. But I'm not really sure

[@Raikaska]

Maybe I am not understing your point on aliasing, but it seems to me that in this case it's not that but just superposition of periodic signals with very similar individual frequencies that start in phase. Gradually, they start getting more and more out of phase, until finally most pairs are very desynqued (a pair can fall in sync again, but it doesnt matter since we want the whole system to be in phase again). This eventually happens and the process seems to repeat, albeit with less kinetic energy. Correct me if I'm wrong since this is very interesting, but I can't see the correlation with sampling here

[@tysonmayberry1208]

@@Raikaska duh! everyone knows this why post?

[@DavidD-KingWolf65]

This is one of the coolest things I have seen throughout my KZbin watching life. It's so beautiful.

[@Aidaryan2012]

It's still hold's up a decade later and i like it! :D

[@DavidD-KingWolf65]

@@Aidaryan2012 Ikr and hey it's you again wassup :D

[@Aidaryan2012]

@@DavidD-KingWolf65 I'm gud

[@DavidD-KingWolf65]

@@Aidaryan2012 went back to sleep after making that last comment lol. And I am actually thinking of a romance between Wolves story lol. The female lead Camille deals with a loss of her younger sister after a Brutish forest fire but finding herself in a relationship with Prillian, the male lead, changes her life and helps her get over the loss since she's a lonely wolf. It's an abstract drama consisting of poetry and music the style of mideval and ancient styles.

[@John_pork6969]

ya

[@katyaynijaiswal8672]

This video is 12 years old but it's still in my recommendations

[@ghostlyblaze7793]

1:08 Wtf. They can rotate left or rotate right depending on how your brain decides to see it. Focus on 1 side & you’ll see it rotate that way. It’s trippy

[@lzwl.]

My brain just couldn’t accept it

[@AuralVirus]

The secrets of the universe are in there, somewhere......

[@killgarraghforever]

42

[@AllTheBestCO]

@@holidayla3840 This was the perfect comment. Very well balanced for these times.

[@larjkok1184]

Fuck yeah! That thing just did everything!

[@CorelUser]

In Vsauce videos

[@tfossgh]

...over the rainbow

[@chandrakantsoti6954]

"The End is the beginning, the beginning is the End" -Dark

[@Aryan_626]

Edam

[@davideee7189]

The patterns these make are honestly mind blowing

[@pablocs3311]

I liked how: 1. It starts looking like a spiral right before it serpentines like a snake before desynchronizing again 2. How each of the above increase in duration with increasing period

[@DanDassow]

This is an amazing demonstration of the transition from periodic motion to apparently chaotic motion and back.

[@depletedsmile4684]

Hi

[@user-rb9wz8or1m]

ok

[@talentlesscommenter1329]

Nerd

[@7MinutozRapsLetras]

​@@talentlesscommenter1329bro I think your photo just leaked: 🤡🤡

[@user-jn1tr8mo3g]

I remember making one of these many years ago. It took ages to figure out just the right lengths, but was extremely rewarding.

[@kitsuinarinightshade4474]

This is oddly hypnotic to watch...

[@jimmy_ate_johns-3428]

For this being 11 years old it is really good quality

[@claudewinchester7068]

Now, that's how you hypnotize someone! 🤩 Going on the favorites.

[@Kikigantdng]

p

[@mr.savagetruthfilmstudio6888]

p

[@thebacongodfather777]

p

[@mr.savagetruthfilmstudio6888]

Majesty P

[@josephcandelora]

Awesome. Would love to see a split screen of the head-on view and side view at the same time. edit: top view, too

[@tylerandari12]

Yes

[@AdventureTimeFan10]

Can we just appreciate that they done this in a cinema?

[@honeyavocado]

is this... the meaning of life?

[@mushman3744]

42

[@ARoundThing]

Lol, I was thinking of writing 42 and oh...

[@lsbrother]

not mine - yours maybe

[@AnaPerez-ru1qc]

42 what

[@RepublicOfCatyes]

43 now

[@midnytevega2777]

This can either make your good mood better or amplify you when you're pissed

[@lilkairos5695]

no

[@mello9586]

Yes

[@func-camera]

整ってまたバラけるタイミング。好き。

[@SCPguy]

This might just be the most satisfying thing on the internet

[@MrBiffi]

it feels like thats how the universe works

[@jesusginard]

String theory

[@nefertariwhite]

it does

[@evegd]

Compañeros, hoy nos reunimos de nuevo por los recomendados de KZbin :D

[@carlosrosales9486]

Coronavirus :v

[@pou7930]

@@carlosrosales9486 si papu :v wknslwjeus :vvvv

[@xXManolo666Xx]

:v

[@novato7u717]

°-°

[@SuperTenienteMantequilla]

Casi te doy like pero vi el Pacman en tu nombre y casi vomito

[@rudrapratapsinghyadav6913]

Duration of an oscillation depend upon the length of the chord, through which the pendulum is suspended. We can see that the lengths of all the chords vary from one another, which is why it is creating this illusion.

[@dragonfly9786]

The oscillations started at 0:26 and the same pattern is repeated at 1:28. This time interval between pendulums again coming in phase is equal to the LCM of the time periods of all the pendulums

[@nefertariwhite]

what is LCM?

[@stephaniestevens8508]

@@nefertariwhite Linear Conservation of Momentum.

[@HimanshuSharma-xn6uc]

I don't think due to drag the motion will stop soon

[@alaziziomar_]

@@yourlordandsaviouryeesusbe2998 multiple*

[@spyder3461]

Least Common Multiple?

[@xitup1]

Yo, I have to rewatch this video when I'm high as f*** and I will re-post my reaction! lol.

[@hacker52057]

Did you do it?

[@Pinkie007]

Still waiting

[@Zuion_Art]

Bruh 9 year old

[@gyntman9822]

well I guess he died trying

[@bernardenorth]

You'll forget

[@cercastudios7957]

Man, this is so beautiful!

[@cathys949]

That is extremely cool! Blew my little mind.

[@TONEakaSHOW]

When yt recommends these videos im always like what was I doing then, in this case 10 years ago....

[@gaurimaurya.2671]

Me toooo....

[@user-oi5ph4wv7o]

its amazing how a simple swing can do fantastic dance

[@user-se6og9jg3i]

That’s got to be the best dance team i’ve ever seen.

[@yee-pt7qq]

Why was this cooler than I thought?

[@RMJ1984]

Wow, this blew my mind. This is so beautiful. I seriously want one of these!

[@mello9586]

Hello sir!

[@lincolnoliveira3041]

Red

[@jetspeedjeswa7154]

Wow! One of the rare moments that get me surprised and excited! I've seen really a lot but never came across this. Thank you for getting me fascinated.

[@NatSciDemos]

Glad you enjoyed it!

[@zx7990]

@@NatSciDemos bang

[@Unknown-xz1ho]

@@NatSciDemos Jesus,this video is from 11 years ago and you still commented?What a legend Also thank you for showing this satisfying masterpiece

[@zx7990]

@@msatriaputrasatria wkwkw

[@happy200777]

あと2時間半は見ていられる❣️

[@doublebassful]

I'd really liked to buy this for watching at home. Hypnotic and relaxing!

[@playscript3381]

Recommended after 10 years ..this is amazing

[@tripathi26]

Wow.. I watched it again and again. How soothing it is! ❤️

[@salaampakistan44]

Hi, Can you please watch and share this as well kzbin.info/www/bejne/eGi6kHp8r9SInKs

[@rohitkumardas5746]

Just delightful. Awesome. Words fail to describe it.

[@utube11235]

Beautiful. Would be interesting to hear any sounds those different lengths of string would make, and if these patterns would change the overall sound we hear

[@MusicalSamurai]

I love how from that perspective you can see the different patterns emerge, stages of various familiar shapes found in nature and then once the wave had split perfectly, the stages of patterns reversed back to how they were initially started. Good ol' Physics :)

[@muqsit81]

A 9 year old comment HELLO

[@RohitPatel247u]

Are u alive?

[@Quagigitymire]

That is an awesome piece of art! I would love to have one similar to this, maybe a bit larger scale. Amazing how just the difference in length of the hanging balls can create such a cool display by swinging at different speeds.

[@lotharliersch9325]

Quagigitimire , Du bist einer der wenigen Kommentoren ,der dieses geniale Experiment samt seiner physikalischen Komponenten verstanden hat, - Glückwunsch !

[@thesecretmember5448]

Incredibly incredible!

[@kuswanto6488]

Amazing pendulum vibrations

[@zer0furuya]

I was eating, when the video ended I'm already at our rooftop singing Let it go... *WHAT IS THIS SORCERY*

[@dxg_x009]

Wtf?

[@nonottheacorn1022]

?

[@okperson9771]

what

[@zer0furuya]

Bros don't get the reference LMAO

[@zer0furuya]

I was hypnotized by these swinging BALLS

[@deanwal1962]

It never ceases to amaze me when people give such a video a "thumbs down". This video is exactly as described, it does not try to sway an opinions or garner a response that the person who posted it wanted it is basically what it say on the tin. Anyway I enjoyed it and was mesmerized by it, thank you for the post.

[@KyranZade]

What thumbs down

[@logancurran]

1 video from this guy taught me more that 2 years of school

[@trillium.3.24]

That was the coolest thing I've seen today!!

[@Hrynnn]

Allen’s performance was truly stellar

[@gandalf7262]

Ahhhh aliens.....rrrrright

[@gandalf7262]

The World was Created by Eru Iluvatar. With the syncronicity of his Music, then Ainurs came and they started their own music and was syncronized. But one called Melkor was envy of others music

[@sherbie8870]

0:26 Imma frickin snaaaake

[@maxxh5331]

12 years later, KZbin recommends this to me.

[@alyssacyleneanimation1288]

0:53 Its look like a DNA

[@ChaosBW]

This is my favorite pendulum song.

[@xXBenutzer235Xx]

1:15 anyone else seeing the spiral going upwards ?

[@tuxedosteve9556]

⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻ no

[@Constantine_xP]

Yes I do

[@ZzSlumberzZ]

Now i can't unsee it.

[@krispyhoe2126]

...no..

[@justabox5979]

SORCERY

[@anlisaaan7514]

This is AWSOME!

[@syahrulramadhan5384]

Amazing pattern, momentum

[@Eliminator__]

I feel something... oh no... *THIS IS YOUR DAILY DOSE OF INTERNET*

[@NomadUrpagi]

His content is good but his voice is annoying

[@MiggyDiablo]

@@NomadUrpagi he emphasizes his words for his non-english viewers, its in his community post

[@zzzrrv]

@@NomadUrpagi it isnt to me its actually calming

[@neyo509]

If you look at it a certain way it appears 3D

[@katakana1]

@largraf Do you mean Poincaré recurrence? Yes... Entropy...

[@benwoodard6851]

It is 3d

[@FERAL_ENTITY]

This is consuming my day

[@k.a7223]

凄い！11年前も昔の動画に出会えたの初めてで驚き‼️2022/05/19

[@bloodbeliever]

Only legends have this in recommendations after 10 years

[@SpiritualAtheist]

Better than porn.

[@TheCatJoker]

You're gross.

[@Rakanvid]

Better than porn (❌) Better than soccer ⚽️ (✅)

[@Josef_R]

Why are you calling what women do for money gross?

[@darkplayer2557]

Agree

[@Saurabh_Tewari007]

Far more

[@ExplodingSteve]

i love the switch from chaos to order (and vise versa)

[@evernard_gaming_88]

Whoa absolutely amazing

[@Byehk2047]

Moral of the story : At the end, everything will be in the beginning again , and history repeats itself. Secrets of the universe solved

[@kiluaaaaa8824]

@@k.r.99 😂😂

[@varunthakur3210]

@@k.r.99 😌🤣🤣🤣🤣

[@DinakarB_]

@@k.r.99 😂😂😂😂😂😂😂

[@CameronHimlie]

Coolest thing I've seen in a while

[@PotatoMuncher967]

I'm very Mesmerized by this

[@sooa818]

I really love this video

[@localbigman]

This wave is the same feeling you get with church songs..it just keeps going..

[@_sul74n]

After 100 years, the waves still loop moving.

[@ZoltroMAX]

“Son, What are you watching?” Balls

[@saadibnasaadhusain]

The pendulums have different periods because of their different lengths. Hence the phase relationships change continually throughout their motion. However, the time periods are commensurate (i.e. they have constant integral ratios). Hence the pattern repeats after a while.

[@richardstevens5961]

sa'ad ibn Asaad Husain What he said..!!

[@nefertariwhite]

i wish I could speak this language lol

[@thalesnemo2841]

@EllaParaQuien El Sol Brilla It adds up if one thinks about it ! Take a period to think about and missed-steaks are an ERA!🤪🤪🤪🤪🤣🤣🤓🤓🖖🏽🖖🏽

[@dennissteyn8864]

How come the amplitude increased again.

[@Yuiyu-jp4xw]

KZbin e seus incríveis recomendados.AMEI

[@matheuzinholima4992]

sim kkkkkk

[@Yuiyu-jp4xw]

@@matheuzinholima4992 akkaka

[@matheuzinholima4992]

@@Yuiyu-jp4xw S I M

[@Yuiyu-jp4xw]

@@matheuzinholima4992 avocados 🥑 from mexico 🇲🇽avocados 🥑 from mexico 🇲🇽avocados 🥑 from mexico 🇲🇽avocados 🥑 from mexico 🇲🇽avocados 🥑 from mexico 🇲🇽avocados 🥑 from mexico 🇲🇽avocados 🥑 from mexico 🇲🇽avocados 🥑 from mexico 🇲🇽avocados 🥑 from mexico 🇲🇽avocados 🥑 from mexico 🇲🇽avocados 🥑 from mexico 🇲🇽avocados 🥑 from mexico 🇲🇽avocados 🥑 from mexico 🇲🇽avocados 🥑 from mexico 🇲🇽avocados 🥑 from mexico 🇲🇽avocados 🥑 from mexico 🇲🇽avocados 🥑 from mexico 🇲🇽avocados 🥑 from mexico 🇲🇽avocados 🥑 from mexico 🇲🇽avocados 🥑 from mexico 🇲🇽avocados 🥑 from mexico 🇲🇽

[@charlotte3955]

As someone with ocd Edit vid almost ended on me so this is finish I love this

[@GDplazma]

truly amazing

[@ilovesharkz_]

OH GOD STOP MESSING WITH MY MIND AJDIHFISKJDHKSKSKDJKSk

[@CravingForCoffey]

I was looking for Pendulum the band when I typed in Pendulum, but I can dig this, too.

[@lincolnoliveira3041]

Fooding

[@samyaksingh297]

Playing this on Loop is pure satisfaction

[@bennettdaniel7779]

God when he was creating physics must've been like "haha wouldn't this be cool"

1:28 how did it gain more energy

[@scene6289]

They were still swinging at the same height, they didn't gain energy

[@sulanims5836]

This really satisfying I can't keep my eyes open

[@murugavel7056]

I am after 1 hour

[@lauragutierrez80]

It is so cool. I like how you made it

[@bird123pg3d]

youtube: “I say we shall recommend this 12 years later.”

[@turnerkirk1920]

This is awesome. You can use the same principle to produce another cool optical illusion with LEDs set up in a single row. Just modulate the brightness of the LEDs (just like the amplitude of the pendulum) and put a semi-transparent acrylic panel over the strip of LEDs to diffuse the light a little bit. Ends up looking like a lava lamp but also can be timed to happen in a cycle. The math behind this is super simple AND fun! A really great way to learn about trigonometry. It would be cool if you guys would include the simplified mathematical formula to calculate the period of each individual pendulum with regard to string length. I'm not exactly sure what the math is in this situation (I'm not a math person really), but I think it's close to the below equation. And I'm talking about how to describe the oscillation of each individual pendulum. Then to get them to do cool synchronized patterns like the video you just have to adjust the ratio of the lengths of string. Sin(2pi * (time / rate) where the rate is controlled by the length of the string

[@Nabil_Bennai]

Maybe too late, but the period of an ideal pendulum is T= 2 Pi Sqrt(length/gravitational constant)

[@dexorne9753]

i need to see a video on this

[@mateussoaresff]

Em pena 2021 assistindo videos aleatórios ✌❤🍃🇧🇷

[@shiridoka3504]

Ss kkkkkkjjjjjjjkkkkk

[@zyrondevera1670]

This one makes me happy

[@JomarD30]

legend says its still moving till this day

[@shreyanshutrivedi7865]

It's even satisfied more than my life🤘!!

[@d.j.finest5598]

Was not quite expecting all of that🤔

[@avashapava1528]

Great, now I’m hypnotized.