The Sound of those Buzzing Magnets

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  • Опубліковано 3 чер 2024
  • You know those magnets that buzz when you throw them in the air? Why do they make that sound? In this video, we'll learn about magnetism, inelastic collisions, the geometric series, and the short-time Fourier transform and spectrograms.
    Become a Patreon member: / physicsforthebirds
    0:00 Intro
    1:02 Modeling Magnetism
    3:03 Collisions
    4:09 Finding the Frequency
    7:59 Audio
    Thank you to Caleb Birtwistle for captioning!
    You can try the code I used here: drive.google.com/drive/folder...
    Models of magnets: p.2-5, www2.fisica.unlp.edu.ar/magnet...
    Coulomb's original paper: www.ifi.unicamp.br/~assis/Cou...
    Inelastic collisions: phys.libretexts.org/Courses/M...
    STFT and other time-frequency transforms: arxiv.org/abs/2101.06707

КОМЕНТАРІ • 848

  • @sandordugalin8951
    @sandordugalin8951 9 місяців тому +6096

    If I was a spherical human in a perfect vacuum, this is the kind of stuff I'd spend my time on all day.

    • @ZebraLemur
      @ZebraLemur 9 місяців тому +119

      If people knew how easy finite element analysis was with ms excel, they could remove all the silly assumptions

    • @austinpeterson4898
      @austinpeterson4898 9 місяців тому +43

      Felonious Bolus disagrees

    • @heather19515
      @heather19515 9 місяців тому +40

      not if. When.

    • @Crosseyedhero
      @Crosseyedhero 9 місяців тому +45

      Don't forget that it's a perfect yet breathable vacuum.

    • @AlbertoCiarrocca
      @AlbertoCiarrocca 9 місяців тому

      Did you just point out being spherical because otherwise you would have spent all your time wanking?

  • @Palozon
    @Palozon 9 місяців тому +195

    "Just shy of infinite" is a _very_ funny phrase.

    • @lyrimetacurl0
      @lyrimetacurl0 9 місяців тому +4

      Yes, I'm sure it's far lower than TREE(3).

    • @asheep7797
      @asheep7797 3 місяці тому +1

      Forever minus one day.

    • @Neuro_nActivation
      @Neuro_nActivation 3 місяці тому

      One day divided by forever?

    • @Disregardedinc
      @Disregardedinc 2 місяці тому +1

      It’s an oxymoron, just shy of infinite also means infinitely far from infinite, funny thought lol.

    • @PWMV573
      @PWMV573 2 місяці тому

      9.9999999e307

  • @headcrabking9054
    @headcrabking9054 9 місяців тому +3232

    I feel like this channel is the epitome of the idea that anything in the world can be interesting if you look at it from the correct angle!

    • @michaelf8221
      @michaelf8221 9 місяців тому +28

      Just as long as you don't look at the world as only right angles!

    • @muhfuckersfuckfuckers1108
      @muhfuckersfuckfuckers1108 9 місяців тому +1

      Vsauce?

    • @headcrabking9054
      @headcrabking9054 9 місяців тому

      @@muhfuckersfuckfuckers1108 maybe, but it doesn't click with me the same way Bird does. Vsauce is also super cool though!

    • @blacklistnr1
      @blacklistnr1 9 місяців тому +3

      I mean.. everything is connected to everything else and you like something, therefore you like everything if you allow enough connection hops.

    • @headcrabking9054
      @headcrabking9054 9 місяців тому +6

      @@blacklistnr1 I'm not sure I agree with that logic. I find spiderman cool, but even though Superman is a comic book super hero, I find him dreadfully dull. Just because they're related doesn't mean that they're equally interesting

  • @jucom756
    @jucom756 9 місяців тому +1325

    I love this channel, because it doesn't assume the audience knows nothing like most science channels, but it still explains everything clearly in case you don't.

    • @alluringvoice7081
      @alluringvoice7081 9 місяців тому

      I would rather go to Hell than submit to a false god.

    • @eagonwild
      @eagonwild 9 місяців тому +44

      ​@@repentandbelieveinJesusChrist9no thank you

    • @divat10
      @divat10 9 місяців тому +26

      ​@@repentandbelieveinJesusChrist9
      Take your beleaves somewhere else john

    • @snailcheeseyt
      @snailcheeseyt 9 місяців тому +8

      @@repentandbelieveinJesusChrist9nuh uh

    • @mrbanana6464
      @mrbanana6464 9 місяців тому +3

      @@repentandbelieveinJesusChrist9False prophet

  • @mathpuppy314
    @mathpuppy314 9 місяців тому +860

    For a while you've been making videos that are honestly some of my favorite on the entirity of youtube! They're niche but interesting and engaging which I find so impressive. They're also sneakily educational which is wonderful. Thank you for the incredible works.

    • @ForestFire369
      @ForestFire369 9 місяців тому +5

      I'm not very good with words, but this is exactly what I wanted to say. Clearly, I must be a bird. ❤

  • @SnailSnail622
    @SnailSnail622 9 місяців тому +72

    As a kid I once accidentally found two oddly-shaped magnetic rocks while goofing around in my neighbors’ backyard, and I loved them, and they made a similar sound. Sadly I’ve since lost them but I have never forgotten them.

    • @wheedler
      @wheedler 9 місяців тому +7

      Wait a minute, there's a magnet behind that rock!

    • @amitakler4710
      @amitakler4710 9 місяців тому +7

      Lost but not forgotten 07

    • @kaitlyn__L
      @kaitlyn__L 7 місяців тому +8

      That's also how magnetism was first discovered way back when :) they would've been called lodestones for the longest time. Some cultures highly valued polished and shaped ones, I wouldn't be surprised if they liked the sound too.

  • @JCisHere778
    @JCisHere778 9 місяців тому +252

    Great video! Fun fact, the magnets don't bounce infinitely many times due to the air's viscosity... There is a cutoff for a critical Stokes number (and another characteristic elastic number) for which particles approach one another without rebounding.

    • @wiegraf9009
      @wiegraf9009 9 місяців тому +14

      Thank you for saving us from absurdity 😂

    • @woomy2343
      @woomy2343 9 місяців тому +16

      If the magnets were in a vacuum, would they buzz infinitely?

    • @TeamTechSkaters
      @TeamTechSkaters 9 місяців тому +53

      ​@@woomy2343no, heat is still generated albeit a small amount. No system is perfectly closed.

    • @NXTangl
      @NXTangl 9 місяців тому +9

      ​@@TeamTechSkatersheat is just the magnets buzzing at a very small scale, so technically, yes, in the classical limit. But also no, heat/sound is actually quantized in solid-state physics, and also, with no air they wouldn't be making noise at all.

    • @TeamTechSkaters
      @TeamTechSkaters 9 місяців тому +2

      @@NXTangl I had replied but I need to investigate your comment about solid-state quantization before I think I make it again. Care to explain so I understand?
      What I had said before is that heat will still be generated by the exchange of kinetic energy even on the small scale. This exchange excites the atoms and would give rise to temperatures because heat is still incurred, even in a vacuum. To answer woomy's question in an applicable sense, no system is closed, and losses are always expected. If start changing givens, my answer may change

  • @leoanimations4360
    @leoanimations4360 9 місяців тому +174

    My greatest accomplishment in life will be when I can understand everything being said in physics videos like these.
    I understood about half of the video so I’m getting closer.

    • @physicsforthebirds
      @physicsforthebirds  9 місяців тому +97

      My greatest accomplishment will be when my viewers can understand everything being said in physics videos like these!

    • @marcello9476
      @marcello9476 9 місяців тому +4

      A couple of advanced placement high school courses will get you more than all the way there lol

    • @LemonsRage
      @LemonsRage 9 місяців тому +3

      Almost everything he is talking to is being thaught in advanced mathmetics (you will have to take if you want a degree in engeneering)

    • @kaitlyn__L
      @kaitlyn__L 7 місяців тому +3

      Stuff like this is why so many physicists are also musicians! Understanding harmonics comes far more naturally after you've played with timbres and disharmonic overtones in a musical context. (Which is exactly why I suspect the creator chose this subject!)

  • @silverspuppet
    @silverspuppet 9 місяців тому +379

    I love your video topics. They are simultaneously so disconnected, unpredictable and somehow still carry similar „vibes“. I hope you will be able (want to) continue to explore such unique topics.

    • @physicsforthebirds
      @physicsforthebirds  9 місяців тому +94

      Believe me, I cover these topics because I'm having fun with it. I'm just amazed that other people want to hear ramble about them!

  • @LimitedWard
    @LimitedWard 9 місяців тому +315

    Once again you've managed to create an absolutely captivating video about a topic that most people never really think about. I love the pacing of your videos and how you manage to connect two seemingly unrelated concepts in unexpected ways.

    • @lorenzodiambra5210
      @lorenzodiambra5210 9 місяців тому +2

      when I was little I used to do drugs

    • @TheKeller101
      @TheKeller101 9 місяців тому

      Can you please tell your pfp to stop spinning?

  • @alienbroccoli8296
    @alienbroccoli8296 9 місяців тому +49

    Congratulations on the 100k!

  • @Mcbuzzerr
    @Mcbuzzerr 9 місяців тому +79

    Something about this video hit different. They usually feel like you are here to teach me something neat, but this time we were on an adventure to calculate the physics of a random part of life! It was so much more engaging!

  • @pyglik2296
    @pyglik2296 9 місяців тому +21

    As an engineering student my first thought after realizing that the force is inversly proportional to the inverse of the distance, was "Just approximate with a linear function", so when you said you're gonna assume constant force it just got better.

    • @jajefan123456789
      @jajefan123456789 9 місяців тому +4

      lol us engineers and our linear approximations
      pi^2=g=10

  • @leobattle9489
    @leobattle9489 9 місяців тому +38

    It would be interesting to use those frequency curves to synthesize an audio clip, and see if it sounds like the real magnets.

    • @rich1051414
      @rich1051414 4 місяці тому

      It wouldn't be perfect. Every material has it's own resonant frequencies which would help sustain some frequencies while muting other frequencies. This is why different shaped rattlesnake eggs sound different. Making real world sounds synthetically is really hard.

  • @idontwantahandlethough
    @idontwantahandlethough 9 місяців тому +37

    _What is the sound of two buzzing magnets?_
    -- ancient bird proverb

  • @dominiklukacs7677
    @dominiklukacs7677 9 місяців тому +5

    "Just shy of infinity" is my new favourite phrase

  • @13mschen
    @13mschen 9 місяців тому +11

    rarely do I watch a math video where I feel the math as much as I hear it. This just FEELS right as you go through explaining it.

  • @thespacetimesignature
    @thespacetimesignature 9 місяців тому +4

    I'm an Audio Engineer, and I just found a couple of these magnet sets the other day! I'm absolutely going to try to get a higher resolution spectrogram.

  • @yokeshhsekoy
    @yokeshhsekoy 9 місяців тому +29

    I absolutely love your videos because they're this wonderful combination of niche topics with eloquent explanations and amazing visualizations! Nothing else on UA-cam can come close to these! Thank you!

  • @mojoxide
    @mojoxide 4 місяці тому +1

    Absolutely in love with the intro music at 0:58 - ESPECIALLY the arpeggiated synth fade out. It makes me feel a certain way, can’t stop replaying it

  • @Ntrpy_
    @Ntrpy_ 9 місяців тому +11

    I used to have a pair of those magnets as a kid that i haven't thought about in almost 2 decades. Amazing video as always, and thanks for the blast of nostalgia!

    • @napoleonbonerfarte6739
      @napoleonbonerfarte6739 9 місяців тому +1

      You should swallow one wait a few hours then swallow another

    • @kaitlyn__L
      @kaitlyn__L 7 місяців тому

      @@napoleonbonerfarte6739 you get a free trip to hospital and time off school, assuming you don't die :)

  • @GuildOfCalamity
    @GuildOfCalamity 9 місяців тому +30

    This is slowly becoming the best science channel on UA-cam.

  • @yanikb.1312
    @yanikb.1312 9 місяців тому +14

    As many said, your videos are amazing.
    One thing I have to mention is about your video on music. The part where you explained why and how certain harmonies sound good for us has a special meaning to me. I experienced this before watching your video, while messing around with sound. Your explanation was kind of a miracle to me.

    • @physicsforthebirds
      @physicsforthebirds  9 місяців тому +5

      Hey, thanks for letting me know that. That makes me happy!

  • @lephtovermeet
    @lephtovermeet 9 місяців тому +7

    Just discovered your channel: love it. You elaborate with simple but clever and effectice animations, and you explain the math behind it without dumbing stuff down too much but pacing it enough that its entertaining even to people who aren't here the check or recreate your work.

  • @Ashinle
    @Ashinle 9 місяців тому +4

    I remember how much I used to play with these as a kid. Never knew there'd be a video so many years later explaining how they work

  • @samuelspace101
    @samuelspace101 4 місяці тому +1

    It’s really nice to see a science channel that doesn’t explain how sound waves work like there talking to pre schoolers

  • @Jimmy-H
    @Jimmy-H 9 місяців тому +4

    it would be really interesting to use the equation to synthesize audio waveforms and see how well it matches, plus turn some knobs to generate sounds from preposterous magnets

  • @mishram4446
    @mishram4446 9 місяців тому +6

    I seriously love your contents. keep em coming, you will be one of the best educators in youtube, I can see it happening.

  • @meme6793
    @meme6793 9 місяців тому +4

    It would be nice to hear sound that fitted curve and its harmonics make.

  • @sammy-the-haze
    @sammy-the-haze 9 місяців тому

    I really enjoy your videos. I feel like all of them are stuff you fell into a rabbit hole googling then realized you had enough understanding to look into it much further than the average person

  • @ConsultingHumor
    @ConsultingHumor 6 місяців тому

    I love how you are able to present and explain content that can conceptually be understood by almost everyone

  • @shivajoshi9068
    @shivajoshi9068 9 місяців тому +3

    I hope ur content reaches even a wider audience...! you somehow spark the joy of science in me...! thanks!!

  • @Crystal-ef3dm
    @Crystal-ef3dm 9 місяців тому

    Really nice explanation with a neat visual check to back it up! Haven't thought about these magnets in years, but now I kinda want to go dig them up again...

  • @bonnibel_honeycomb
    @bonnibel_honeycomb 8 місяців тому

    I've been getting this recommended since you uploaded it for some reason... I'm so glad I decided to watch.

  • @Arcsfinx5984
    @Arcsfinx5984 9 місяців тому

    I really enjoyed this video! The explanations are straightforward and I really like your use of coding tools for analysis. It really gives the video a “hands-on” sort of feel!

  • @skyhighflying1525
    @skyhighflying1525 9 місяців тому

    I just finished physics to I actually understood some of the math that you were doing so I could see your logic behind it. Having the stuff I learned being applied in a different waves so interesting to see!!

  • @Melliyel
    @Melliyel 9 місяців тому

    I'm not a physics guy, but this video was awesome. I liked seeing calculus used! I don't really intend to study and use many physics concepts, but I really respect people like you who can find a question about something and just use them to find the answer.

  • @Gunbudder
    @Gunbudder 9 місяців тому +1

    this is one of the first things i ever modeled when i was first learning programming. i modeled the finite bounces by simply having a threshold for velocity where if the velocity of a ball was below the threshold, the velocity of the ball in the y direction was set to zero, and a different threshold for the x direction. this allowed for separate coefficient of friction and restitution and resulted in super realistic bounces. you can model this very easily though without using any formulas and instead just adding values each frame of a simulation with discrete time. if you make the discrete time steps 25 ms or less, your eye will not be able to see the steps and it will appear continuous. its pretty slick

  • @gedaliakoehler6992
    @gedaliakoehler6992 9 місяців тому

    Very cool and fun video! Enjoyed seeing you play around with equations to see if they fit the experiment!

  • @daltonbuffinton7275
    @daltonbuffinton7275 8 місяців тому

    knowing nothing about most of what you just said, I still found this extremely interesting. Thank you.

  • @TheDanielVictorLA
    @TheDanielVictorLA 9 місяців тому +4

    Olá, sou brasileiro. Adorei seu canal. Seu conteúdo é muito legal e didático. Espero que você continue fazendo mais vídeos e que eles sejam compartilhados. Propagar o conhecimento da maneira que você faz é louvável. Desejo muita sorte e felicidade para você. Abraço.

  • @jonathandavis7019
    @jonathandavis7019 4 місяці тому

    Its always awesome when your model actually fits your data. Great ending!

  • @hollowflower
    @hollowflower 9 місяців тому +1

    These videos are so well done that honestly it's just amazing, i hope you continue doing this because it's just amazing :)

  • @kaister901
    @kaister901 4 місяці тому

    Bruh, I clicked on the video thinking it will be like a simple fun physics video. I did not expect it to be this deep at all and that's a compliment.

  • @CasMcAss
    @CasMcAss 9 місяців тому

    honestly amazing! i love the idea behind this

  • @yumnuska
    @yumnuska 4 місяці тому

    I really, truly, love your channel. I hope you keep going.

  • @ashtonsnelgrove2893
    @ashtonsnelgrove2893 9 місяців тому

    I love that the example music at 8:15 is the infamous "the lick".

  • @juliet4093
    @juliet4093 6 місяців тому

    Dude I watched this high has a kite and while I didn’t understand the math at all; I was thoroughly intrigued and impressed by the quality of this video, well done homie keep doing this!

  • @somedude8604
    @somedude8604 9 місяців тому

    I got a couple of these as a kid and still have them. Thank you for making them interesting to play with again haha.

  • @LithiumThiefMusic
    @LithiumThiefMusic 9 місяців тому +1

    Yo thank you for answering questions I've always wondered about in an approachable way. Your videos really inspire me to learn about how the world works

  • @uub_
    @uub_ 9 місяців тому

    Hi I just wanted to say thank you. Recently I went on a trip to Georgia to visit a museum and I bought those magnets. I loved playing with them until I dropped them on the tile in my house and they cracked. When I saw this video it made me so happy

  • @mrnobody2344
    @mrnobody2344 9 місяців тому +1

    You continue to create absolutely brilliant videos! Please keep up your work I love it dearly ❤

  • @scottr2624
    @scottr2624 9 місяців тому +1

    Nice! A very solid analysis with good math! Well executed. It got me thinking about how delta/impulse functions might factor into it. In the early windows of the frequency analysis, where there's only one bounce per window, we can see the impulses as the vertical bars, covering every frequency. I think that the harmonics you see later on might actually be best considered an artifact of the fourier transform operating on a series of impulses occurring at a given frequency. It falls into that weird area of psychoacoustics where we transition from hearing them as separate events and instead hear them as sounds of a given frequency.

  • @joaofreitas5483
    @joaofreitas5483 7 місяців тому +1

    Really liked the video, keep up the good work, I like who you explain things and really cool themes and subjects you bring up on this channel:)

  • @DonTinker
    @DonTinker 9 місяців тому

    I'm loving this, and I really hope your channel blow up because it's really interesting!

  • @brenobarbosa3489
    @brenobarbosa3489 9 місяців тому

    Absolute madman content, love it, had to get my magnets off the shelf

  • @marcovillalobos5177
    @marcovillalobos5177 9 місяців тому

    Really good physics, it reminded me of the Tadashi Tokieda course "Invitation to simple modeling of complex fenomena"

  • @mkb6418
    @mkb6418 9 місяців тому

    From theory to experiment and proof. Excellent video, that shows the scientific method into action.

  • @douglaslowe6628
    @douglaslowe6628 9 місяців тому

    i had this exact question in my head last week, thanks for answering it :)

  • @wunderedich5101
    @wunderedich5101 9 місяців тому

    Your channel certainly is an ascending star!
    Can't wait to see the next video :)
    Also I love how you drew the magnets. They look like extremely cute eyes

  • @tomn.9987
    @tomn.9987 9 місяців тому

    Never would have thought I would be watching a video about bouncing magnets and enjoy it. You have earned a sub.

  • @saitougin7210
    @saitougin7210 9 місяців тому

    Nice. Well done little physics experiment and analysis.

  • @BenjaminEhrlich272
    @BenjaminEhrlich272 9 місяців тому

    Thank you for making content like this. It makes me happy.

  • @Sakrosankt-Bierstube
    @Sakrosankt-Bierstube 9 місяців тому

    I didn't understand anything after 3:00 but i somehow love videos like that.. about physics, chemistry, engineering. I Just love it.

  • @Zyrchin
    @Zyrchin 9 місяців тому

    For functionally no reason you have done some excellent work and that's wonderful👍🏻

  • @dracorey
    @dracorey 9 місяців тому

    this made my brain happy, subscribed !

  • @amitakler4710
    @amitakler4710 9 місяців тому

    Just found this channel immediately subscribed

  • @MetalManiak93
    @MetalManiak93 9 місяців тому

    Amazing topic my dude. I always think about this kind of stuff that we take for granted. Got my subscribe!

  • @brickshitter8015
    @brickshitter8015 8 місяців тому

    I don't know why this was recommended to me, but I am so happy it was. Subbed, and cheers!

  • @charltonrodda
    @charltonrodda 9 місяців тому

    Since you could see those vertical lines at the start of the STFT plot, you could add a second visual: individual bounces, maybe with an extra slider for phase. That way you can show that when the frequency line matches, the spacing of those hits matches at the start. Would be a nice way to bring everything together IMO!

  • @AndyChamberlainMusic
    @AndyChamberlainMusic 9 місяців тому +1

    that was a lovely watch!

  • @MannFace51
    @MannFace51 9 місяців тому

    Can i just say, thank you so much for using a dark background with white text. So much easier on the eyes 👍

  • @user-iq6en8ed7q
    @user-iq6en8ed7q 9 місяців тому

    this is my first video of this channel and I love the name of the channel:° unironically :3

  • @inakioalgoasi3693
    @inakioalgoasi3693 9 місяців тому

    this is one of the best channels on UA-cam

  • @deliriouscheeto
    @deliriouscheeto 9 місяців тому

    Omg I had these magnets as a kid and I frikkin loved them!

  • @jakipop3397
    @jakipop3397 9 місяців тому

    This video is so nerdy, and I say that with a just-shy-of-infinite amount of love. I want more nerds in my recommendeds. Great stuff.

  • @joshuazeeman7553
    @joshuazeeman7553 9 місяців тому +7

    Just noticed you hit 100k subs!! Congratulations man, it's so well deserved. Hope you have a good place on your wall for that play button

  • @ipeaceful6
    @ipeaceful6 9 місяців тому

    so cool! thank you for making these videos

  • @fawal.1997
    @fawal.1997 9 місяців тому

    Wonderful video. Very interesting.

  • @finlayrivers9839
    @finlayrivers9839 9 місяців тому

    your videos are sick my man, always super creative ideas and good production, even if I don't understand a lick of the physics aha

  • @Eliasmizuki
    @Eliasmizuki 9 місяців тому

    Man I used to have these and other shaped ones as a kid, haven’t heard or seen anything about them in probably nearly 15 years until this video was randomly recommended

  • @HimanXK
    @HimanXK 9 місяців тому

    These videos really scratch that particular brain itch

  • @syncalcal6802
    @syncalcal6802 9 місяців тому

    I literally just started playing with these maybe a few weeks ago crazy

  • @KompakterOperator
    @KompakterOperator 9 місяців тому

    5:55 *a geometric sum :)
    Wonderful video!

  • @notjerrett
    @notjerrett 9 місяців тому

    Loved this one!

  • @PaulFisher
    @PaulFisher 9 місяців тому +1

    The “infinite bounces” phenomenon is a supertask! I first learned about that concept from a vsauce video that is also well worth watching.

  • @PlasmaWisp100
    @PlasmaWisp100 9 місяців тому

    I opened the video thinking it would be someone clanking the magnets for 10 minutes. Ended up watching the whole video and got a mini lesson to boot, I call that a win.

  • @Dithernoise
    @Dithernoise 9 місяців тому +1

    Interesting and entertaining as always! Now do one for Eulers disc... :)

  • @minimoth
    @minimoth 9 місяців тому

    Ive never at all been interested in physics and its 2 am currently but I am paying full attention to this video

  • @insooklee4294
    @insooklee4294 9 місяців тому +1

    Great vid!

  • @HayCorvus
    @HayCorvus 4 місяці тому

    Ah yes, finally. A physics channel for birds, like me. Subscribed!

  • @adityakhanna113
    @adityakhanna113 9 місяців тому

    This was really cool!

  • @zacharymesecke9638
    @zacharymesecke9638 9 місяців тому

    I love watching people do cool stuff

  • @Harpy-with-Legs
    @Harpy-with-Legs 9 місяців тому

    I have my first day of college today and instead of sleeping I’m watching this video at 12:35AM
    Good content bro have a sub

  • @Supersonicx9000
    @Supersonicx9000 9 місяців тому

    8:16 as a mech eng major and someone with music experience my worlds collided when you put that specific "chart" on the screen

  • @NoWayHaze
    @NoWayHaze 9 місяців тому +1

    These magnets are not magnetic monopoles, so the force should not fall off as inverse-square of distance. They are approximately dipole magnets, so it should be about 1/r^4, depending on the exact geometry. We can still make the constant force approximation for the small displacements of the vibrations of course.

  • @bigbluebuttonman1137
    @bigbluebuttonman1137 9 місяців тому

    I had these.
    Miss em.

  • @simonnygaardjensen1367
    @simonnygaardjensen1367 9 місяців тому +1

    Congrats on the 100K subs!

  • @Bedogg25
    @Bedogg25 6 місяців тому

    Wow a channel that’s exactly what my mom wanted me to watch, “why don’t you watch math videos instead of interesting facts” and this video is a mix I’m fine with

  • @Djungelmannen1
    @Djungelmannen1 9 місяців тому

    8:17 This guy really snuck in the lick, man you are cultured.