What If Swings Had Springs Instead Of Ropes: Autoparametric Resonance

Ғылым және технология

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Parametric Resonance is when one parameter of an oscillator is varied at the right frequency to cause the amplitude to increase. Autoparametric Resonance is when that happens automatically!
Here's my video on resonance: • A better description o...
Here's my video about an upside down pendulum: • Upside down pendulum
Here's my video about a levitating liquid pendulum: • The Levitating Liquid ...
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Пікірлер: 2 700

  • @SteveMould
    @SteveMould2 жыл бұрын

    You can also discuss this video on Reddit: stvmld.com/gm9_zcuh The sponsor is Wren: Offset your carbon footprint with Wren and we'll plant 10 extra trees for the first 100 people: wren.co/start/stevemould

  • @cryptogenik

    @cryptogenik

    2 жыл бұрын

    Love your videos Steve! Bluest eyes on youtube :P +Cryptogenik

  • @MikkiPike

    @MikkiPike

    2 жыл бұрын

    kzread.info/dash/bejne/Z6ebtLabhNCfYbQ.html

  • @Nightowl_IT

    @Nightowl_IT

    2 жыл бұрын

    I would start with the carbon offsetting by supporting solar and wind energy with long lasting batteries like LTO cells. 15 - 30k cycles with 100% C1 and only a degradation to 80%. Don't believe me check it. Looking forward to your solar cell installation video^^ , preferably with LTO battery banks.

  • @projectaks4745

    @projectaks4745

    2 жыл бұрын

    Wren is a scam just like all other carbon offsets

  • @WakarimasenKa

    @WakarimasenKa

    2 жыл бұрын

    isnt bungee jumping basicly a swing with a "spring" in it?

  • @mousermind
    @mousermind2 жыл бұрын

    *"You're just shoving the thing, repeatedly."* -Steve Mould, describing the gentle act of pushing a child on a swing, 2022

  • @sumedalpaca

    @sumedalpaca

    2 жыл бұрын

    accidenaly breaking the childs back

  • @brookewestonctc

    @brookewestonctc

    2 жыл бұрын

    shortly before giving the child whiplash to make a scientific point

  • @gorillaau

    @gorillaau

    2 жыл бұрын

    Physics doesn't care about the child, any object of the same mass would have sufficed.

  • @qm3ster

    @qm3ster

    2 жыл бұрын

    gentle act? that child's spine was shattered in the end.

  • @justfellover

    @justfellover

    2 жыл бұрын

    In my brain, this moment is filed away right next to Dennis Kucinich holding a baby doll by its neck when challenged to problem solve by David Letterman.

  • @michaelimbesi2314
    @michaelimbesi23142 жыл бұрын

    I design ships and they can actually experience a form of parametric resonance called parametric roll. The ship’s stability is a function of its waterplane area. Waves can affect this, by changing how much of the ship is in the water at the ends. You can think of this as a torsional spring, with a variable spring constant. If the wave encounter frequency is at or near the ship’s roll frequency, the ship will begin to roll very violently, even in relatively small seas. This effect often causes container ships to lose containers over the side. They deal with this by slowing the ship down, which changes the frequency the ship *encounters* the waves at.

  • @verysmallcats1374

    @verysmallcats1374

    2 жыл бұрын

    That is amazing and scary. Amazing that it's such a universal concept.

  • @lemurgecko1513

    @lemurgecko1513

    2 жыл бұрын

    one step forward two steps back 🚢

  • @j_taylor

    @j_taylor

    2 жыл бұрын

    That's a fascinating example. Thank you!

  • @Spanky00Cheeks

    @Spanky00Cheeks

    2 жыл бұрын

    How long does it take for you to design a ship?

  • @codywhite8358

    @codywhite8358

    2 жыл бұрын

    Thats pretty smirt stuff i actually saw a video the other day of bill nye explaining this on noahs arc and the worlds largest wooden ship it would probably be a really cool short video to check out since thats ur profession

  • @mikeneubauer5086
    @mikeneubauer50862 жыл бұрын

    "The size of spring was starting to get into dangerous territory, like garage door spring" As a garage door tech I appreciate that comment. Working on your own door is statically as dangerous as working on your roof. I've known plenty of other techs and home owner with ER trips and a few that passed from being careless.

  • @MaxUgly

    @MaxUgly

    2 жыл бұрын

    A kid in my high school was doing something with his Jeep and failed at the DIY spring compression device. He came in to school the next day with a hole in his cheek! People are way too comfortable around springs and tight cables, ropes and stuff.

  • @danielf3623

    @danielf3623

    2 жыл бұрын

    You could probably do an autoparamatric resonance with a swing by both translational and rotational modes (instead of using a big spring). I'm sure I'm not the only one who as a kid remembers finding that one cheap swing with the rope attachments too close together that no matter how hard you tried whenever you tried to swing on it it you would just end up spinning eventually instead - likely autoparametric resonance between those modes.

  • @praisejesusrepentorlikewis6218

    @praisejesusrepentorlikewis6218

    2 жыл бұрын

    Repent to Jesus Christ ““Even now,” declares the Lord, “return to me with all your heart, with fasting and weeping and mourning.”” ‭‭Joel‬ ‭2:12‬ ‭NIV‬‬ h

  • @thenasadude6878

    @thenasadude6878

    2 жыл бұрын

    @@MaxUgly considering that the whole weight of a car is supported solely by 4 springs, and remembering that those can withstand potholes and speedbumps without issue, shuld be enough to scare people into handling with caution. You cant compress a bike spring with your full weight, let alone a car spring!

  • @MaxUgly

    @MaxUgly

    2 жыл бұрын

    @@thenasadude6878 Well, go back in time and tell that to my classmate in 2004! sheese man you act like I told him this was a good idea.. unbelievable, I'm gonna go chew on a ball bearing now..

  • @ABCLIEDful
    @ABCLIEDful2 жыл бұрын

    As a fisherman I know this phenomena all to well (parametric resonance). Any time I throw my bait over a branch or something I use this method to swing it free.

  • @100GTAGUY

    @100GTAGUY

    2 жыл бұрын

    With my skill I usually tug a bit too hard and end up hooking the branch like a grappling hook lmao

  • @Wesleystewart78

    @Wesleystewart78

    2 жыл бұрын

    @@100GTAGUY yup I have this luck then I switched to spiderwire 80lb and now I either straighten my hook or get a free branch lol

  • @100GTAGUY

    @100GTAGUY

    2 жыл бұрын

    @@Wesleystewart78 on the upside you can skewer your fish with the branch lol. I usually end up going after my lures and hooks and hand retrieving them off the branch, and or taking a swim.

  • @elmohead

    @elmohead

    2 жыл бұрын

    Oh wait... You're right!

  • @gogleeatmyshit

    @gogleeatmyshit

    2 жыл бұрын

    also very evident in the flyfishing casting techniques

  • @cameronbehar7358
    @cameronbehar73582 жыл бұрын

    This is actually how continuous Foucault pendulum demonstrations are typically powered in museums, since you need to keep inputting power to keep the oscillation going without pulling the bob in any particular direction or influencing the rotation of its plane of oscillation.

  • @SteveMould

    @SteveMould

    2 жыл бұрын

    Oh cool!

  • @darksector1389

    @darksector1389

    2 жыл бұрын

    O cool!

  • @massimookissed1023

    @massimookissed1023

    2 жыл бұрын

    Foucault, arch-enemy of flattards.

  • @lasagnahog7695

    @lasagnahog7695

    2 жыл бұрын

    Owe cool!

  • @Izandaia

    @Izandaia

    2 жыл бұрын

    I had wondered about that, but never bothered to look into it. Neat!

  • @HWHY
    @HWHY2 жыл бұрын

    Swings on springs would indeed be autoparamedic.

  • @mixer0014

    @mixer0014

    2 жыл бұрын

    Bruh. Report that bot, they are popping up everywhere recently. I’m sure that by clicking the link you get your account stolen.

  • @YellowLAVA

    @YellowLAVA

    2 жыл бұрын

    @@mixer0014 it's upto the creator to run the thioJoe script us viewers can't do anything since the bots will exist even after reporting

  • @mrnerd3143

    @mrnerd3143

    2 жыл бұрын

    @@YellowLAVA eventually, youtube will ban them.

  • @gibbogle

    @gibbogle

    2 жыл бұрын

    But would only work for swingers with the right mass.

  • @StopChangingUsernamesYouTube

    @StopChangingUsernamesYouTube

    2 жыл бұрын

    @@mrnerd3143 I've been thinking that for over a year now. I think Google gave up the fight.

  • @hebl47
    @hebl472 жыл бұрын

    Steve's dedication is just amazing! He's spent years to raise his latest physics teaching prop.

  • @sourcraft7436

    @sourcraft7436

    Жыл бұрын

    lol

  • @BrodieEaton
    @BrodieEaton2 жыл бұрын

    6:38 I discovered this as a child and was able to get to get as high as the bar of any swing with almost no effort in as little time as possible. Imagine the heart attacks my parents got each time they'd arrive at the park and see their 10yo (with Moderate Haemophilia) standing on a 3m-high swing going higher than the bar. The issue with your form from what I can tell is that your legs are still bent while you're travelling upward, so you're unintentionally pumping into the swing. Whenever I stand on a swing, I'll only slightly bend my legs and make sure my legs are fully straightened at the same moment I reached the bottom of the arc. I'm not sure if this is accurate scientifically (but it makes sense theoretically) but I found that it was the easiest way to go super high super quickly

  • @stefbrucker79

    @stefbrucker79

    Жыл бұрын

    You probably would have loved the "ship swings" (Schiffsschaukel) we have in Germany. Uses exactly your way to get the swing going and you can do rollovers :-) kzread.info/dash/bejne/gaCZl8-NmLqeqrA.html

  • @miso2923

    @miso2923

    Жыл бұрын

    That sounds incredibly terrifying, God bless your parents I'm doing this the next time I find a swing

  • @bsadewitz

    @bsadewitz

    Жыл бұрын

    We had a wooden swing set behind our house which featured a two-person "horse", which was a plank for a seat connected by two hinged joints at either end to two other planks, each of which had foot pegs and handlebars. The swing was suspended by a pair of ropes which ran between the handles and the frame. By standing on this in a surfing posture, you could get really high *very* quickly by leaning away from the direction of travel while pulling on one set of ropes while pushing on the other--essentially what you described. The ropes weren't nearly long enough to swing the full 180 degrees, though.

  • @Cora.T

    @Cora.T

    Жыл бұрын

    I've seen acrobats do the same thing :)

  • @neeltendulkar612

    @neeltendulkar612

    Ай бұрын

    @@miso2923I've done that as a child and thinking back, that sh!t's terrifying.

  • @jacobbaer785
    @jacobbaer7852 жыл бұрын

    "If swings had springs" sounds like a relative of "if wishes were fishes"

  • @kencarpenter1363

    @kencarpenter1363

    2 жыл бұрын

    I've always heard it as "if wishes were horses, beggars would ride".

  • @Rezzcom

    @Rezzcom

    2 жыл бұрын

    @@kencarpenter1363 "If wishes were fishes, we'd all cast nets" comes from Frank Herbert's novel "Dune"

  • @praisejesusrepentorlikewis6218

    @praisejesusrepentorlikewis6218

    2 жыл бұрын

    Repent to Jesus Christ ““Even now,” declares the Lord, “return to me with all your heart, with fasting and weeping and mourning.”” ‭‭Joel‬ ‭2:12‬ ‭NIV‬‬ h

  • @philcourteney4328

    @philcourteney4328

    2 жыл бұрын

    @@kencarpenter1363 “if wishes were horses we’d all be eating steak” can’t remember the show, but I feel like it was said by Jayne Cobb 🤔

  • @Argonak1

    @Argonak1

    2 жыл бұрын

    If if was a fifth we'd all be drunk.

  • @ElectroBOOM
    @ElectroBOOM2 жыл бұрын

    Eh, here I thought we are going to have a new Mould Effect, but instead it already has a boring name as Autoparametric Resonance

  • @PMA65537

    @PMA65537

    2 жыл бұрын

    It saves us all a month of argument though.

  • @adityatripathy5698

    @adityatripathy5698

    2 жыл бұрын

    Hey Mehdi!' Love your videos Any idea on the next topic?

  • @sakurojason

    @sakurojason

    2 жыл бұрын

    What about a rotational oscillation that switches to an up and down oscillation that switches to a pendulum oscillation? Do you think this works?

  • @VaniWorldTV

    @VaniWorldTV

    2 жыл бұрын

    Why did i read this in his voice ???🧐😯

  • @ovidius2000

    @ovidius2000

    2 жыл бұрын

    youDisinform.

  • @justinwhite2725
    @justinwhite27252 жыл бұрын

    It’s amazing how many things get discovered by pure chance from the exact right combination of things. Like cutting a grape in half (but leaving it connected by a little bit of skin)and microwaving it, turns out it refracts st exactly the length of the wave of a microwave and starts to glow white hot.

  • @brianevans9231

    @brianevans9231

    Жыл бұрын

    Which sane person microwaved grapes after failing to cut it in half

  • @Parker-nm9cg

    @Parker-nm9cg

    Жыл бұрын

    @@brianevans9231 which is why insane people make discoveries lmao

  • @crazychicken7125

    @crazychicken7125

    6 ай бұрын

    hmm... interesting

  • @jeepien

    @jeepien

    5 ай бұрын

    the wavelength of a 2.4 GHz microwave is 12.5 cm. So the grape antenna must be some fractional wavelength.

  • @simonmathman5443
    @simonmathman5443 Жыл бұрын

    I'm glad Steve mentioned the double pendulum that is loosely coupled. I run into a similar thing carrying my water bottle (it has a string tied to the top, making it a mass at a short distance) and lunch kit (a larger mass at a longer length). I wind up swinging my arm slightly, causing both the water bottle and lunch kit to oscillate rhythmically like a loosely coupled pendulum. Turns out the masses and lengths are such that my water bottle moves counter to my lunch kit and I can feel the resonance build up if I don't slow my arm down.

  • @LeeSmith-cf1vo
    @LeeSmith-cf1vo2 жыл бұрын

    This video reminds me that, back in school, we were asked to do an experiment to fin out what parameters affect the period of the pendulum. I made the (what seemed reasonable at the time) hypothesis that the mass would affect it. So I set up my experiment, did lots of testing and, of course, had a negative result. Undeterred I kept testing, being very thorough. I then got told off, maybe I should try something else. I didn't get good marks for that experiment. Which I maintain is very unfair. The point of science is not have the answers before you test, but to hypothesis and then try to prove or disprove! My hypothesis may have been wrong, but my approach was, I believe, entirely correct. Everyone else in the class tested length. Statistically speaking I think the majority of them must have had prior knowledge of the answer before starting.

  • @YannickBo

    @YannickBo

    2 жыл бұрын

    When we found out that our hypothesis was wrong and we could explain why we could still get full marks, that's how it should be

  • @LawTaranis

    @LawTaranis

    2 жыл бұрын

    In fairness to you, the density and size of the pendulum will have a very small effect in atmosphere, but it would be difficult to measure that effect with grade school equipment. So you weren't entirely wrong, you just didn't have the equipment to show how air resistance and weight will change the resonance.

  • @theslimeylimey

    @theslimeylimey

    2 жыл бұрын

    You are right. Science is supposed to be a relentless and thorough pursuit of the truth leaving no stone unturned until it's discovered. You should have been praised for your determination not docked marks for it.

  • @whollypotatoes

    @whollypotatoes

    2 жыл бұрын

    Definitely unfair. If each student or group of students used a different hypothesis, together you would have discovered which parameters matter and don't matter. If each team did it rigorously then as a class you would have derived the truth. Honestly, your experiment was more realistic.

  • @MOSMASTERING

    @MOSMASTERING

    2 жыл бұрын

    @@YannickBo When did it change? I finished school in 2000 and the way you describe it should be is exactly the way I aced all of my physics - a good write up that reaches the right conclusion. Lets see if I still remember how to say out a physics experiment all these years later - Hypothesis, Experiment, Results, Conclusion etc.. haa

  • @OceanBagel
    @OceanBagel2 жыл бұрын

    You could probably use bungee cords instead of springs for a real-life version of this sort of swing

  • @MOSMASTERING

    @MOSMASTERING

    2 жыл бұрын

    Oh God, I just pictured of a Bungee jump going horribly wrong by bouncing off to one side instead of up and down. Falling to the lowest point and instead of going up... bouncing off sideways into a rockface.

  • @nialltracey2599

    @nialltracey2599

    2 жыл бұрын

    ​@@MOSMASTERING Bungee cables are always tuned in terms of length and weight for precisely that reason. And that's also why you need to make sure you're working with proper professionals.

  • @NGC1433

    @NGC1433

    2 жыл бұрын

    Cords are still springs and since they have same energy capacity - till take your arm off just as well.

  • @DeadlyPlatypus

    @DeadlyPlatypus

    2 жыл бұрын

    Bungee cords are *way* less durable, especially when exposed to UV radiation. Placing a metal spring out of reach of the rider would be a better option

  • @HermitianAdjoint

    @HermitianAdjoint

    2 жыл бұрын

    He could just go toprope climbing and swing on the climbing rope at the highest wall his local climbing gym has (preferably not that high off the ground). Climbing ropes are dynamic ie. they are springy and the longer the rope, the more pronounced it is.

  • @tannerbass7146
    @tannerbass71462 жыл бұрын

    I used to have this bungie rope swing when I was little. I always used to wonder why It would bounce around all weird when I tried to swing normally. I guess this is why!

  • @tek4
    @tek42 жыл бұрын

    You earned my like with the flute solo. You earned my subscription years ago. I love these deep rabbit hole dives. Thank you friend.

  • @MrPinguinzz
    @MrPinguinzz2 жыл бұрын

    A toy infinite pendulum that constantly makes a really small timed pull to keep the pendulum seemly going forever seems like a good idea Would be really cool to have one in a desk

  • @ekothesilent9456

    @ekothesilent9456

    2 жыл бұрын

    Would you buy one? I wonder if could be integrated into a ball clicker.

  • @circuitgamer7759
    @circuitgamer77592 жыл бұрын

    Whenever someone brings up resonance, I immediately think of orbits, and as soon as you said you have to put energy in when it is moving the fastest I thought "just like it being more efficient to burn at periapsis to expand/lower the orbit than any other point". Anyway, amazing video, and now I want to find other more unusual examples of autoparametric resonance :)

  • @SteveMould

    @SteveMould

    2 жыл бұрын

    Cool!

  • @cezarcatalin1406

    @cezarcatalin1406

    2 жыл бұрын

    @@SteveMould Please make a video about an oscillator with all three modes of operation: Swinging, twisting and bouncing ! I suspect it will behave chaotically but I might be wrong.

  • @oscarpatxot659

    @oscarpatxot659

    2 жыл бұрын

    I’ll have to thank Kerbal Space Program for letting me understand your comment

  • @circuitgamer7759

    @circuitgamer7759

    2 жыл бұрын

    @@oscarpatxot659 KSP was where I really started to understand orbital mechanics. At this point I've looked into it a bit outside of the game, but that's where I learned a lot (mostly from Matt Lowne at the beginning).

  • @funkyfromage

    @funkyfromage

    2 жыл бұрын

    @@cezarcatalin1406 the wilberforce pendulum can be set up like that. But from what I remember the energy ended up being spread among two of the modes and so the pattern didn't look as pretty.

  • @DruNature
    @DruNature Жыл бұрын

    I freaking love this channel! Steve you are such a talented and goofy guy, as an artist and audio engineer I really love these especially!

  • @mattjohnson8644
    @mattjohnson86442 жыл бұрын

    I have a toy kinetic double pendulum on my desk. Its powered by AAA batteries to continue motion, but the changes of phase reminded me of the spring pendulum. I love how you use other examples to get a different perspective!

  • @obiwanpez
    @obiwanpez2 жыл бұрын

    7:00 - You can leave your feet in the "up" position on a swing and still "pump" by just putting tension into the rope / chain at the right time. Takes longer, but it works.

  • @gibbogle

    @gibbogle

    2 жыл бұрын

    Yes. The girl is doing that.

  • @Winter_B12

    @Winter_B12

    2 жыл бұрын

    Cool I'll try doing that

  • @tim40gabby25

    @tim40gabby25

    2 жыл бұрын

    Or by pushing/pulling the rope with the right timing. Takes even longer. Must raise/lower your centre of mass just a bit.

  • @obiwanpez

    @obiwanpez

    2 жыл бұрын

    @@gibbogle The girl leans back and pulls her feet down again, like all of us do/did when we pumped. I'm saying you can remain completely stationary and still make your swing higher by either pushing/pulling to cause your center of mass to shift up, as @andrew_cobb said, or maybe it moves the seat forward/backward a bit, and gains angular momentum. I'll have to investigate this further... (Hey, kids! Time for a trip to the playground! ... for you to have fun!)

  • @Pheonix0114
    @Pheonix01142 жыл бұрын

    I love how, after explaining the initial phenomenon, you just continue right on teaching related concepts you can showcase similarly. Definitely my favorite subscription of the past year

  • @miaouew

    @miaouew

    2 жыл бұрын

    I like this part the best 14:42

  • @jigyansudash5403
    @jigyansudash5403 Жыл бұрын

    What a wonderful explanation, parametric oscillation never heard before ,but always wanted an explanation why pumping a swing, increases the velocity of it.This is amazing.

  • @jonathanfruchtnicht4966
    @jonathanfruchtnicht4966 Жыл бұрын

    Couldn't figure out why my sound wasn't on, but also was fortunate enough to discover that watching Steve push a child on a swing in slow motion is quite relaxing stock footage.

  • @integza
    @integza2 жыл бұрын

    You playing that flute is gonna become a meme, that I can guaranty

  • @mckennadevore8692

    @mckennadevore8692

    2 жыл бұрын

    guarantee

  • @BillBob-dk4bl

    @BillBob-dk4bl

    2 жыл бұрын

    Makeing it now 🤣

  • @FuncleChuck

    @FuncleChuck

    2 жыл бұрын

    It’s already a meme. It’s the Titanic Flute Meme

  • @UTKETCHUP

    @UTKETCHUP

    2 жыл бұрын

    Yep

  • @jongmassey

    @jongmassey

    2 жыл бұрын

    Recorder

  • @batman3698
    @batman36982 жыл бұрын

    I don't know why but watching the pendulum gain amplitude from the resonant tugging is very satisfying

  • @SteveMould

    @SteveMould

    2 жыл бұрын

    Isn't it!

  • @kanjakan

    @kanjakan

    2 жыл бұрын

    @@SteveMould I encourage you to try ThioJoe's spam comment removal tool. These bots are real annoying.

  • @tsamridh86

    @tsamridh86

    2 жыл бұрын

    @@SteveMould linus tech tips had posted a video about removing these kinds of spam.

  • @lasagnahog7695

    @lasagnahog7695

    2 жыл бұрын

    @@kanjakan If he does that then how am I supposed to find special dating?

  • @Matt_10203

    @Matt_10203

    2 жыл бұрын

    @@lasagnahog7695 suddenly all the hot singles in my area go silent. Curious

  • @seankaelin8068
    @seankaelin80682 жыл бұрын

    Haha I love how you answer questions I've asked myself for years as a child! Great work Steve thank you

  • @thebige5961
    @thebige59618 ай бұрын

    You know it's good quality when he's willing to break his child's back for the video

  • @5SMA
    @5SMA2 жыл бұрын

    @01:31 - A tip for pushing kids on a swing- It might be a better idea to stand in front of the swing and push the kid's knees/ lower tummy. That way one can 1. Avoid the possibility of kid slipping off of the swing by the push (the naturally leg gets stuck at the knee joint) 2. have better conversation with them when you are facing them. 3. get to look at their cute little smile as they enjoy the ride. 😍

  • @davishall

    @davishall

    2 жыл бұрын

    4. A nice kick in the balls

  • @5SMA

    @5SMA

    2 жыл бұрын

    @@davishall 😂😂 Worth the risk??🙃 You actually need to stand a bit offset from the line of motion of the swing. Otherwise your arm can not really reach the kid.

  • @jaredf6205
    @jaredf62052 жыл бұрын

    2:28 this is revoltingly unsatisfying!

  • @DelsTradingPost
    @DelsTradingPost Жыл бұрын

    Best video I’ve seen this year!!! Keep it up Steve!

  • @jeffwestbrooke279
    @jeffwestbrooke2792 жыл бұрын

    I made a swing of springs for my daughter. Great fun. Look for hose tender springs, they usually go under a trailer or behind a semi to hold hoses up.

  • @johnchessant3012
    @johnchessant30122 жыл бұрын

    Oh boy, the normal modes are bringing back nightmares of my mechanics class. We did a whole chapter on coupled oscillators and basically what happens is you have a matrix differential equation and the normal modes correspond to the eigenvectors. They're important because all the other solutions are linear combinations of the normal modes.

  • @milandavid7223
    @milandavid72232 жыл бұрын

    This reminds me of the spinning T shaped thing they showed on the ISS, and how it was oscillating between different axes of rotation.

  • @zerog2000

    @zerog2000

    2 жыл бұрын

    Yes! Veritasium did an awesome vid on it: kzread.info/dash/bejne/Y4qEyLyYiN3Po7g.html

  • @MushookieMan

    @MushookieMan

    2 жыл бұрын

    That's torque free rigid-body precession, which is very cool, but not related. It just falls out of the conservation of energy and angular momentum for a body with three distinct principle moments of inertia.

  • @Luckyfeller

    @Luckyfeller

    2 жыл бұрын

    That was mind blowing. I was looking at that video and scratching my head.

  • @Neophoia
    @Neophoia11 ай бұрын

    thanks for explaining something I've done instinctively as a child to make the swing go faster/higher. I basically pulled the ropes in a way that shortened, or released them to make longer, because then I didn't need somebody to push on the swing to get this effect. Didn't know why it worked, just that it did.

  • @alexandertemplsmith4897
    @alexandertemplsmith48972 жыл бұрын

    I appreciate that Professor Mould’s grey hairs take up the duty of being the least ruly of the bunch. I shall watch their progress with interest.

  • @microwave221
    @microwave2212 жыл бұрын

    Now I want to see a swinging Wilberforce pendulum, maybe even one linked to another to throw in some driven resonance as well. Maybe bungee cord would be a safer alternative to making a science swing?

  • @kimonisandi1435

    @kimonisandi1435

    2 жыл бұрын

    𝐒͠𝐩͠𝐞͠𝐜͠𝐢͠𝐚͠𝐥͠ 𝐝͠𝐚͠𝐭͠𝐢͠𝐧͠𝐠͠ 𝐟͠𝐨͠𝐫͠ 𝐲͠𝐨͠𝐮͠➺ sexy-nudegirls.host Anna is a beautiful girl. He's the person I love, he's my light day. The way the music flows and sounds is extravagant and fun. Anna is icon, legend, beautiful girl, princess, inspiration, a star. I could go on and on, understand this. I love NBA Anna.#垃圾

  • @brentbrisbois2209

    @brentbrisbois2209

    2 жыл бұрын

    University of Michigan has a swingset like this on the engineering campus

  • @maclee5381

    @maclee5381

    2 жыл бұрын

    You beat me to it. We have one of those pendulums in my department and I tried doing that just last week lol

  • @TheHongKonger

    @TheHongKonger

    2 жыл бұрын

    @Casey Lewis They come around every few months. Some hacker finds a vulnerability, KZread bans the bot accounts, KZread patches the vulnerability, rinse and repeat.

  • @Jens.Krabbe

    @Jens.Krabbe

    2 жыл бұрын

    @@TheHongKonger Do you know if it helps reporting them?

  • @MrBunnyInc
    @MrBunnyInc2 жыл бұрын

    Would love to see the first one with an LED attached, in a low light setting!

  • @LarryBloom

    @LarryBloom

    2 жыл бұрын

    Yes, perhaps with a very long exposure to map the locations.

  • @extrastuff9463
    @extrastuff94632 жыл бұрын

    I was vaguely aware of the non-auto variant, very interesting concept. Also a fascinating demonstration seeing it shift multiple times between primarily working as a pendulum and spring... converting the energy that's in the system between the two states. At first it really seems like something that should not be happening.

  • @MrEDMeaner
    @MrEDMeaner2 жыл бұрын

    Have missed your videos, including our zany sense of humour and your amazing descriptions of your discoveries!

  • @EwingTaiwan
    @EwingTaiwan2 жыл бұрын

    The tensioning at the right point is actually a perfect analogy of the Oberth effect, which is used to accelerate spacecrafts.

  • @verysmallcats1374

    @verysmallcats1374

    2 жыл бұрын

    YEAH! I was just thinking about that but I couldn't remember the name of the effect. It's crazy how this one concept applies to so many fields, yet most people know nothing of it.

  • @youngtschakaloff

    @youngtschakaloff

    2 жыл бұрын

    Not sure if that really is an analogy. The Oberth-effect is the most efficient way of increasing an orbit because of the conservation of impulse, not resonance

  • @Element4ry

    @Element4ry

    2 жыл бұрын

    @@youngtschakaloff Both examples; adding force to the pendulum and efficiently increasing velocity of a spacecraft, follow the principles of Newton's law of motion.

  • @ClashBluelight

    @ClashBluelight

    2 жыл бұрын

    @@Element4ry well a man walking and a spacecraft also both follow the principles of newton's laws of motion. not exactly analogous though.

  • @Element4ry

    @Element4ry

    2 жыл бұрын

    @@ClashBluelight They do. But the point is about efficiency in doing so.

  • @iZeeRix
    @iZeeRix2 жыл бұрын

    You can see the parametric resonance in action in swiss rings (Schaukelringe), which is a gymnastics skill I learned in college. It's really fun feeling the acceleration when you get the timing right

  • @davidlatoche8751

    @davidlatoche8751

    2 жыл бұрын

    I used to do it on a swing along with moving my legs, doing both really gets you a lot of speed

  • @maxgotts5895
    @maxgotts58955 ай бұрын

    Wow… Expertly explained. A true professional

  • @abuladula
    @abuladula2 жыл бұрын

    Really enjoy your channel. I learn about things that I didn't even knew was a thing.

  • @TheJamie109
    @TheJamie1092 жыл бұрын

    Love the videos and the concepts Steve. Always a great watch

  • @kimonisandi1435

    @kimonisandi1435

    2 жыл бұрын

    𝐒͠𝐩͠𝐞͠𝐜͠𝐢͠𝐚͠𝐥͠ 𝐝͠𝐚͠𝐭͠𝐢͠𝐧͠𝐠͠ 𝐟͠𝐨͠𝐫͠ 𝐲͠𝐨͠𝐮͠➺ sexy-nudegirls.host Anna is a beautiful girl. He's the person I love, he's my light day. The way the music flows and sounds is extravagant and fun. Anna is icon, legend, beautiful girl, princess, inspiration, a star. I could go on and on, understand this. I love NBA Anna.#垃圾

  • @CharlieSolis
    @CharlieSolis2 жыл бұрын

    I remember learning this in my advanced mechanics class. I had never seen the spinning/twisting mass on a spring one though. That was super cool to see.

  • @ClickClack_Bam
    @ClickClack_Bam Жыл бұрын

    Up at my camp many campsites hang a 2 person bench swing up. 1 of my friends used car springs at the end of the chain. The "give" in the springs was PERFECT for when you sit down & it's never a hard seat when you're sitting in it. Best idea ever: Hang springs on the end of your chains where they attach to your bolt.

  • @TimberTrainer
    @TimberTrainer2 жыл бұрын

    Thanks for the explanation of the pendulum (penjilum). Tree workers use that method with throwline tricks.

  • @needamuffin
    @needamuffin2 жыл бұрын

    Reminds me of the relationship between inductors and capacitors. In an LC circuit, energy is constantly exchanged by the two components, each being stored in a different field. Capacitors store energy as electric potentials and and inductors store it as magnetic potential. As one discharges, it charges the other which then discharges and starts to charge the first.

  • @nicolaeberbece8112
    @nicolaeberbece81122 жыл бұрын

    I just realized that I have stumbled upon this phenomenon in-person while I was trying to work my way up a half pipe starting from the bottom, going back and forth and timing the balancing of my body weight to work my way up progressively higher up the ramp

  • @CommonPeafowl_2
    @CommonPeafowl_22 жыл бұрын

    Love the videos, the channel, but also, and this is rare, the comments. All very informative and interesting

  • @rpow6861
    @rpow68612 жыл бұрын

    0:57 beautiful, brings a tear to the eye.

  • @pic10r
    @pic10r2 жыл бұрын

    Excellent explanation. As usual: breaking down the problem into understandable parts. Respect👍

  • @PaulOsbornesChannel
    @PaulOsbornesChannel2 жыл бұрын

    You need to do one with all 3 modes: twisting, swinging, and springing

  • @cezarcatalin1406

    @cezarcatalin1406

    2 жыл бұрын

    YES Chaos ensues

  • @krzysztofprzybylski2750

    @krzysztofprzybylski2750

    2 жыл бұрын

    +

  • @Norsilca

    @Norsilca

    2 жыл бұрын

    Bop it! Twist it!

  • @asailijhijr

    @asailijhijr

    2 жыл бұрын

    The opening scene technically had that.

  • @vigilantcosmicpenguin8721

    @vigilantcosmicpenguin8721

    2 жыл бұрын

    That'd be some neat choreography.

  • @davidcruz5605
    @davidcruz56052 жыл бұрын

    The botafumeiro in the Cathedral of Santiago de Compostela has been studied also in wind tunnel... amazing. thank you Steve!!!

  • @zircon256ua
    @zircon256ua4 ай бұрын

    Wow. This is very cool! That's crazy how the energy is transferred from one pendulum to the other!

  • @johnquest3102
    @johnquest31022 жыл бұрын

    There is a phenomenon, I noticed it decades ago with a super ball, bounce the ball about 3 feet high, on a smooth driveway, the ball bounces straight up with lots of spin on it, then the next bounce it travels forward about 2 feet but with no spin on it, then hits the ground again and bounces straight up with lots of spin on it but no forward motion, and it repeats, up with spin then forward with no spin...gain and again, and i could tell it was periodic, physics is interesting.

  • @Tikorous

    @Tikorous

    2 жыл бұрын

    That's not physics, you lived near a witch. I'll pray for you

  • @jaymethodus3421

    @jaymethodus3421

    2 жыл бұрын

    I know exactly what you’re talking about!

  • @jaredf6205

    @jaredf6205

    2 жыл бұрын

    That’s really cool!

  • @MushookieMan

    @MushookieMan

    2 жыл бұрын

    If you spin a superball and throw it under a low table, it will come back out because of this effect.

  • @tim40gabby25

    @tim40gabby25

    2 жыл бұрын

    We tried to Max out spin rates, measuring how wide was the left/right bounce..

  • @packetlossgaming9886
    @packetlossgaming98862 жыл бұрын

    Love the video, as always, and I don't have an issue with your sponsor. I do think they're doing good things. What I have a problem with is the fact that we have been brainwashed into thinking that our individual carbon footprint is the issue to the point that a company like this was started. We should be holding those actually responsible for the majority of carbon, and other greenhouse gas emissions, responsible for their actions. Instead, through the media, the energy companies have turned the tables on us by telling us to be more responsible for our personal carbon footprint. While I agree that in a small way our individual impacts added together are significant, and that I and everyone should try to change even if slightly to help the planet. What really needs to happen is to hold these greedy planet destroying emitters responsible. Make them fund the projects to undo the damage that they have caused. Sorry about that. /rant

  • @simonofferlbauer5166

    @simonofferlbauer5166

    2 жыл бұрын

    KZread needs to get a handle on these Bot-Accounts

  • @pasikavecpruhovany7777

    @pasikavecpruhovany7777

    2 жыл бұрын

    I can't fathom how they can successfully pull the same trick twice. It's keep america beautiful campaign all over again.

  • @danieljensen2626

    @danieljensen2626

    2 жыл бұрын

    The complication is that corporations aren't just causing carbon emissions for no reason. Manufacturers try to keep production pretty well in line with demand, so it's not insane to say you as an individual are responsible for the carbon emissions associated with all of the items you buy. If you didn't buy that stuff, the manufacturer wouldn't have to make as many, and thus their carbon emissions would be lower. You also have the option of trying to find a manufacturer who produces a similar product with less emissions. That said, I do think it would be easier to just collectively vote on regulations and deal with price increases later rather than all individually trying to vote with our dollars. But the dollar cost of the changes are most likely going to be passed on to the consumers either way.

  • @kruks

    @kruks

    2 жыл бұрын

    @@danieljensen2626 - This is still passing the buck to where it doesn't belong. Corporations only worry about their bottom line and as such, created the narrative that climate change didn't exist, moved the responsibility of who's responsible once they couldn't ignore that it exists, and continue to avoid responsibility in order to avoid the cost of change. You say it's us who need to change what we buy, yet the oil and car industries stalled progress on public transportation, electric cars, nuclear and solar/wind energy, and so on. The burden is not on individuals, but it's on our government and on corporations to shift from a model of profit at all costs to a model of responsibility.

  • @beady0081

    @beady0081

    2 жыл бұрын

    @@kruks I think the buck doesn't belong in a single place. We should see this as everyones problem. Make individual changes to the way we live to reduce our carbon footprint and absolutely hold companies to account too. And they will need regulating I agree, the cheapest way is often not the most environmentally sustainable way so an incentive or disentive needs to be applied by government. But don't discount your own part in this

  • @deybmen
    @deybmen2 жыл бұрын

    My final project as an ME student was something like this!! My project takes its form by combining the concept of a see saw and a swing with a spring as a connector, never got the chance to perfect it but this was the main idea.

  • @PhysicsUnsimplified
    @PhysicsUnsimplified2 жыл бұрын

    This is an excellent video. Thanks Steve.

  • @MasterHigure
    @MasterHigure2 жыл бұрын

    1:00 A flute or a whistle isn't actually resonance. There is no rhythmic external influence here. Just continuous airflow. And another parameter of a pendulum that's relatively easy to adjust is the distribution of mass. Is it all bunched up at the center of mass or spread out? A more spread out pendulum (along the radial direction, at least) will be slower than a more concentrated pendulum with the same distance from center of rotation to center of mass. Also happy to see someone that's not afraid to use centrifugal force. Too many were taught "There is no such thing" in school and stay in that narrow frame of mind the rest of their life.

  • @michaelsleator6326

    @michaelsleator6326

    2 жыл бұрын

    No resonance? Then what, pray tell, determines the pitch of the tone? Yes, the input airflow is continuous, but do you understand how a whistle works? The airflow at the fipple is not continuous. That's precisely why there is a blade across which the air passes. If you look around, you can probably find some good Schlieren imagery of the airflow at the blade edge. (Perhaps Steve needs to do a video on how whistles and flutes work.)

  • @MasterHigure

    @MasterHigure

    2 жыл бұрын

    @@michaelsleator6326 Yes, no resonance, precisely because the input airflow does not have that frequency to it. The input airflow isn't perfectly smooth, and that's enough. The whistle makes the frequency all on its own. The pitch in a whistle is decided by the size of the chamber and the speed of sound. Many physical systems have such a "preferred" oscillation frequency, called the eigenfrequency. And they will oscillate at that frequency when acted upon, regardless of the frequency of the input. Yes, they will oscillate way, way more with way weaker influence if the input oscillates with a frequency that matches. This is resonance. But it doesn't have to match. Like in a whistle. Like Tacoma Narrows bridge. Like a guitar string (the string itself, mind you, not the box it's attached to and the air inside that; I don't know whether that's true resonance, but at least the influence of the string is very rhythmic, so I won't exclude it without knowing more). Like a xylophone. Like a car hurtling down the freeway with one window slightly open. Like swings in the wind.

  • @PsychedelicStorm
    @PsychedelicStorm2 жыл бұрын

    I love the science community on KZread. Thanks for asking questions I don’t know if I’d ever ask!

  • @katej392
    @katej3922 жыл бұрын

    I'm a science channel addict but for some reason I havent seen this channel until now! Subscribed for sure!!

  • @Tarkov.
    @Tarkov.2 жыл бұрын

    Steve, you don't have to use a spring for this, you could use a bungie cord.

  • @thomasa5619

    @thomasa5619

    2 жыл бұрын

    Which is just a different type of spring

  • @a52productions
    @a52productions2 жыл бұрын

    I love these! Just as the simple pendulum swings from side to side, alternating between kinetic and potential energy, these autoparametric systems swing through phase space, alternating between energy in the spring and energy in the pendulum.

  • @Narnald_Ewman
    @Narnald_Ewman Жыл бұрын

    I have never felt so entertained by a simple breakdown of a complex mechanism. The bird going poo was icing on the cake!

  • @notgate2624
    @notgate26242 жыл бұрын

    The swing analogy was great! I'll be sure to use that in the future

  • @halonothing1
    @halonothing12 жыл бұрын

    I love anything to do with harmonic resonators and resonant motion or resonance in general. I'm a hobbyist electrical engineer, and one of my favourite areas of EE is in oscillators, like ones made of an inductor and capacitor, which work based on a lot of concepts of resonance that can be applied to a system like this. Except instead of the harmonic motion being mechanical, it's electrical. But despite this difference you can use the exact same formulas to describe them. Which I absolutely LOVE it when I find overlaps between two topics in science/physics that seem to be unrelated at first, but when you look closer, you find the reality is that they can be described the the exact same set of rules. It's almost as if the physics is coming full circle or something.

  • @shanelahousse3344

    @shanelahousse3344

    3 ай бұрын

    I think the various system equations are translatable since they all relate energy.

  • @eternalsunshine1651
    @eternalsunshine16512 жыл бұрын

    1:34 pull your pants up Steve LOL

  • @HolmWrecker
    @HolmWrecker2 жыл бұрын

    Fascinating! For all we know, we know so very little. The mysteries of life intrigues me to no end.

  • @themonsieurmonsieur7629
    @themonsieurmonsieur7629 Жыл бұрын

    6:36 this was definitely the most wholesome shot I've ever seen on KZread 🤣

  • @khalilahd.
    @khalilahd.2 жыл бұрын

    My childhood would’ve been a lot more fun…and a bit more dangerous 😂

  • @RohitSharma-wx2ky

    @RohitSharma-wx2ky

    2 жыл бұрын

    How are all of them bots!!!?

  • @DaniStarEngland
    @DaniStarEngland2 жыл бұрын

    I've used the string technique while climbing to help someone swing back to a wall when they fall off a large overhang. I never knew why it worked

  • @markallison4794

    @markallison4794

    2 жыл бұрын

    That statement triggered my acrophobia, which has worsened (from a base of zero) as I've aged. You have fun your way I'll sit in my recliner watching Steve Mould videos.

  • @MrArdister
    @MrArdister2 жыл бұрын

    The Mathieu equation, (pronounced matew or mathew) is a fun equation. There are papers written that describe what happens when tweak various parameters. Parametric excitation is a fascinating topic. If you perform a multiple scales expansion (I would guess a first order would be sufficient) on your model you will be able to see the slow change from swinging to bobbing in your spring pendulum.

  • @kennethkoppel1934
    @kennethkoppel19342 жыл бұрын

    Bro! Thank you! This principle applies to more then you know. I will try this on something else. And if I get the frequency right, the end result is more movement!

  • @justanotheryoutuber1554
    @justanotheryoutuber15542 жыл бұрын

    Is anyone going to talk about how he broke that child's back 2:21

  • @TheSpiffyNeoStar
    @TheSpiffyNeoStar2 жыл бұрын

    Here's a fun swing related question that I've been meaning to sit down and find a general solution to: what is the ideal angle to jump off of a swing to maximize horizontal distance? Its not 45°, because at 44° I think you're moving faster than the benefit you gain from the ideal launch angle. But then is the same thing true at 43°? It's a surprisingly tricky problem to work out, and I've been meaning to get to it, but you're free to beat me to it.

  • @petertrudelljr

    @petertrudelljr

    2 жыл бұрын

    I always fel it was near 68°, enough to get the momentum from the downward motion through the center with about half the lift from the upswing before you started to lose momentum.

  • @fbrickerlp

    @fbrickerlp

    2 жыл бұрын

    I dont think there is a definite answer to that like on a throw because it should depend on the length of the swing which varies your jumping height. I guess on a swing you dont really jump as well you just let go at one time and get the angle perpendicular to the swing angle and the speed at that point

  • @fbrickerlp

    @fbrickerlp

    2 жыл бұрын

    @@petertrudelljr how do you define the angle?

  • @TheSpiffyNeoStar

    @TheSpiffyNeoStar

    2 жыл бұрын

    @@fbrickerlp I did a brute force test of this and found that the variables for determining the answer were pendulum length, how high up you swing from, and height from the ground at the lowest point. All that considered, I only saw a 2-3° difference in results. Somewhere around 25° if I remember right.

  • @TheSpiffyNeoStar

    @TheSpiffyNeoStar

    2 жыл бұрын

    @@fbrickerlp a fun thing about the geometry of the problem: the angle of the rope of the swing (assuming vertical is 0°) is equal to your launch angle from the ground (assuming horizontal is 0°).

  • @noahhollingsworth3303
    @noahhollingsworth3303 Жыл бұрын

    Although the content was bouncing around a little bit, the real message really resonated with me. I’m sure I’ll swing back later when I feel tense.

  • @althor9997
    @althor9997 Жыл бұрын

    Changing trajectory and adding power simultaneously. Got it

  • @ClearerThanMud
    @ClearerThanMud2 жыл бұрын

    When you pump a swing, don't you change the centripetal force vector so that it is in the direction of travel more of the time? Perhaps that just boils down to angular momentum in the end?

  • @browner1873
    @browner18732 жыл бұрын

    Funny how this was literally on my physics test today, big up Steve!

  • @archangelappel8566
    @archangelappel85669 ай бұрын

    One important thing to note about most garage door springs is that only when you install it do you twist it tighter so when you order one I shouldn't have any stored energy

  • @jonahgetz5882
    @jonahgetz58822 жыл бұрын

    That recorder line really resonated with me.

  • @gautamr.singhvie3653
    @gautamr.singhvie36532 жыл бұрын

    I love how steves videos are getiing better and better. First the ballerina cosplay and now this. Great work man, great work

  • @emdivine
    @emdivine2 жыл бұрын

    I thought it was pretty cool that when they're a quarter out of phase, the moment they switch is when one part of the pendulum reverses its phase. I didn't look at which is which for this, but it appears then that the pendulum that's either ahead by 1/4 or behind by 1/4 becomes the consumer of the other pendulum's momentum, and when one of them is entirely "eaten up" and reverses direction, this relationship switches (because the swinging shifts by 1/2 phase) which is why they keep going back and forth between modes like that :) Thinking on it (still without looking at the video again because thought experiments are more fun) I'm going to say the behind-phase one is the consumer. I assume this intuitively because I spent a lot of my childhood jumping on trampolines with my friends, and to give my friend all my bounce I'd stomp down on the trampoline a little bit before them. Likewise stomping just after them landing lets you kill their momentum, but I rarely did that because that energy is all absorbed by the legs and hurts quite a bit when you're not prepared for it. Edit: now I'm actually getting a little bit unsure of if I got that right, because originally I said stomp ahead of them for both and I can't decide which is which. Memory is unreliable and I don't have a trampoline and friend handy...

  • @ljvob863
    @ljvob863Ай бұрын

    6:40 i love me some steve mould twrking on the swing

  • @theSultanofSquares
    @theSultanofSquares2 жыл бұрын

    Can we all appreciate how much this is just how so much science was found. That, sure, Steve isn't *discovering* anything here, not in the big picture. But so much of science started as "person is doing some unrelated thing, and notices by coincidence some weird phenomenon". It's so great that the internet exists for us to notice these things and find an answer, but it is also how ACTUAL science works too! We should definitely all treat these as moments of discovery and self-led experimentation. Make predictions, then go find an answer - even better with your families and children.

  • @alexeytsybyshev9459
    @alexeytsybyshev94592 жыл бұрын

    The "other" way to pump a swing is the more powerful one, and the one you normally use to swing 360 degrees all the way around

  • @matthewbartsh9167

    @matthewbartsh9167

    2 жыл бұрын

    Thanks for telling about that.

  • @alaeriia01

    @alaeriia01

    Жыл бұрын

    Wait, you can get it to go all the way around? I always ended up falling off the swing when I got to about 120°.

  • @Baconlessness
    @Baconlessness2 жыл бұрын

    The strongest selling point of this idea is all the concussions it would give to children as they try to dismount

  • @coloradomountainman8659
    @coloradomountainman86598 ай бұрын

    Experienced pendulum dowsers as well as L rod dowsers are all quite familiar with what is known as mechanical parametric amplifiers. In the case of a pendulum hovering over an object sensitivity is increased or decreased depending on the length of the string. Naturally, reactions are affected as well.

  • @anagramofevil8824
    @anagramofevil88242 жыл бұрын

    I like how captions describe you playing the recorder as gentle pipe organ music

  • @MarcosProjects
    @MarcosProjects2 жыл бұрын

    "That's clearly a bird doing a poo" Hahaha, I thought for sure you were going to point out how well the area has been conserved based on the wildlife or something, but no, bird doing a poo :D BTW I've been meaning to sign up for Wren for a while, this was what finally inspired me to follow through and I did it. Turns out that to offset 100% of my family's emissions is $42/mo (no coincidence it's answer to life the universe and everything), well worth it to do my part in the Climate Crisis and get some peace of mind, cheers!

  • @mitchkovacs1396
    @mitchkovacs13962 жыл бұрын

    I'd love to see the phase diagram between the length of the spring and the amplitude of the pendulum

  • @kimonisandi1435

    @kimonisandi1435

    2 жыл бұрын

    𝐒͠𝐩͠𝐞͠𝐜͠𝐢͠𝐚͠𝐥͠ 𝐝͠𝐚͠𝐭͠𝐢͠𝐧͠𝐠͠ 𝐟͠𝐨͠𝐫͠ 𝐲͠𝐨͠𝐮͠➺ sexy-nudegirls.host Anna is a beautiful girl. He's the person I love, he's my light day. The way the music flows and sounds is extravagant and fun. Anna is icon, legend, beautiful girl, princess, inspiration, a star. I could go on and on, understand this. I love NBA Anna.#垃圾

  • @andrewkepert923

    @andrewkepert923

    2 жыл бұрын

    The most natural phase diagram will have 4 dimensions. You can get it down to three by assuming constant energy, which removes one bit of reality but it would still capture the interplay between the different modes - the orbits would likely be something like lissajous figures, at a guess, but distorted by the non linearity of pendulums to gradually nudge it from one bunch of orbits to another.

  • @PKMartin

    @PKMartin

    2 жыл бұрын

    I'd like to see a graph of the meta-period (the time between shifts from bouncy oscillation to swingy oscillation) as a function of the ratio of bounce period to swing period.

  • @SingingblissofRajat
    @SingingblissofRajat Жыл бұрын

    Such great art. Nice playing 🙏

  • @auerbacher69
    @auerbacher692 жыл бұрын

    when me and my sister were kids we had this trampoline and when we took it down for the winter we actually hooked all the springs together and used them as a swing once. it was fun and surprisingly no one was hurt :)

  • @macronencer
    @macronencer2 жыл бұрын

    When I was a kid, pumping a swing was one of my absolute favourite things. It's such an exhilarating feeling!

  • @JakubNarebski
    @JakubNarebski2 жыл бұрын

    You can vary the "gravitational constant" by making the mass out of ferromagnetic material, and varying the magnetic field.

  • @clonkex

    @clonkex

    2 жыл бұрын

    Yeah but that's not _actually_ varying the gravitational constant.

  • @andrewferguson6901

    @andrewferguson6901

    2 жыл бұрын

    brb grabbing a compass

  • @thedevilinthecircuit1414
    @thedevilinthecircuit1414 Жыл бұрын

    Holy smokes! The spring pendulum in auto parametric mode describes the same pattern as the Lorenz Attractor: repeating patterns within an outwardly chaotic system. Fascinating stuff, Steve!

  • @universalrandomizer405
    @universalrandomizer4052 жыл бұрын

    Fascinating stuff, albeit a bit too difficult for a lunch break video. Can't wait to go through the formulae

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