Dope Tech Episode 2

<<@MinutePhysics says : Check out Acoustics Today at https://acousticstoday.org, the ASA’s magazine featuring accessible articles about the latest discoveries and ideas in acoustics.>> <<@draftandwonder says : Pip here! I had no idea strings don't vibrate the simple back-and-forth way I always pictured. Do you play an instrument with strings?>> <<@Sq7Arno says : For some reason this reminds me of a video that was exploring how electricity propagates over a wire.>> <<@garygough3158 says : Easy to watch this if you hit a tower cable with a wrench, it also sounds like star wars.>> <<@DavidLee-jc9bf says : I wonder what the vibration pattern looks like for harmonics?>> <<@JoeKatzenberger-h6c says : Very well done, thank you!>> <<@Supuhstar says : Also remember that the straightness is also described by how the tension remains at full strength until the actual material of the string can change to relieve it, and that change propagates at the speed of sound in the material of the string. So release the string and the two sides remain in tension until the wave of relief from your release point gets to them at the speed of sound.>> <<@OMoanaigh says : I might be talking out my ass on this one but this makes sense because if the string vibrated how we thought it does wouldn't that change the note? Because the tension would need to change for that to be the case and thats how notes are changed>> <<@benjaminlamothe2093 says : Fundamental speeds always get us, whether that be the speed of sound or light, you can't have instant changes throughout an entire object all at once so instead at high speed intervals you get weird looking stuff instead. At least I hope that's right, I might be blabbing>> <<@ZeroSoza says : so the wavey shape is an optical illusion>> <<@Bob94390 says : Talking about jump rope, you can clearly see some of this effect using a jump rope. Tie one end of a jump rope to some object, hold it so that it's slack and doesn't touch anything else, an jerk the other end in one sudden moment, like a string that is being plucked close to one end. The jump rope does NOT immediately become a sine wave. Instead you will see one impulse travelling along the rope. When it hits the other end, it comes back.>> <<@orinblank2056 says : You can get a similar effect by plucking a kite string. Because the string is so much longer, you can actually see the wave propagating upwards with the naked eye>> <<@thenerdlet3171 says : this is interesting as fuck>> <<@reallymetoday says : Awesome info! Thanks!!!>> <<@golfer4life25 says : Nice! Now can you make a video talking about about golf shafts? More specifically, how "loading" the club and how a golfing should "release" it given the manufacturers kickpoint of the shaft. Another sports related one would be the strings tension in tennis racquets and why some players ask to have the mains strung at a lower tension than the crosses. Does it improve performance or is it simply for durability of the strings lasting longer? I'm sure there is a readily available answer, but the science is really cool! ;)>> <<@JamesLockerby says : Hi, physics student here. The mathematical background behind this is actually pretty interesting. The behavior of the string can actually be described by a differential equation called the one-dimensional wave equation. If you solve the wave equation by hand, you'll see that one of the most intuitive solutions is a combination of sine and cosine functions (which look like those jump-rope waves). If you set the string to initially have the correct shape and speed, you'll end up with something called a Fourier series, which is basically just a sum of infinite sines and cosines that add up to the initial shape. As you let the function evolve over time, you'll see that every individual sine and cosine will behave the way you expect, but when you add them all up it behaves like it does in the video. It's really interesting to see that the string actually behaves the way the math predicts.>> <<@CaptainBrawnson says : So the ideal wave form doesn't happen because we have to apply the force at some specific point with a physical object over some arbitrary amount of time, instead of being able to perfectly apply it over the entire string all at once. It does make sense that this is what gives different string instruments their particular character and timbre, though. If they all just produced an ideal waveform they'd all make the same sound.>> <<@MaxwellRyder1 says : Even having known the triangular looking wave thing is the mathematical solution to the wave equation, I had no idea how closely a real world guitar string actually sticks to that, this is really cool>> <<@MrGfunkstyler says : Great! 🔥🔥🔥 You also explain why the sound is so different where you plug. String players use that intuitively, to get the right sound for the song. Now, I know what I do... 😂>> <<@reoreodecat says : please explain to me how different tiller split and crawl distances affects the vibration of a bowstring that get transferred to the behavior of arrow flight in archery, especially barebow archery that uses 3 under hook method.>> <<@LarryMickelson says : I'm reading Fundamentals of Musical Acoustics where Benade takes a hundred or so pages to explain about sine waves and harmonics. It's too bad he didn't have access to high speed cameras to get this footage.>> <<@thecarr0tmaster36 says : Great video! I love to see videos like this that challenge the way I assumed things work.>> <<@AAkCN1 says : Now this is the best ad in a long time>> <<@Dyas777 says : Missed opportunity to mention the shape of harmonics (natural, artificial, etc)>> <<@Samstagnachmittag says : Very interesting, thank you!>> <<@Ars__1_3 says : Notice: Curve Look inside: triangles>> <<@nathansherwoodliang says : As a guitarist this was mind-blowing, but it really made me wonder: how do harmonics work on a string instrument? Why does touching the node affect the resulting pitch? Would love to see your answer.>> <<@BayToEstuary says : We try to find the real answer by adding different sin waves together. It is not the reallity of strings but Masters in our university didn't know this. Old men that believes everything he says is true, cannot hear any sound. This is the reason I don't like Calculus even if it is nice. all they do is trying to find the answers from the cheatbook then demanding the whole answer from us.>> <<@denissevostyanov says : Thank you guys! As a physicist, I've always felt that something is odd here, because so many harmonics cannot be glued into one of them.>> <<@nitrospidergaming7394 says : Could you please do a part 2 of this where you look at the different types of harmonics that can be played on a guitar>> <<@DanielLanphear says : I have an multidisciplinary engineering degree from PSU, and worked as an electronics engineer on RF equipment. I learned more from this free video than I did from years of paying tuition to watch professors slowly wear down chalk sticks and dry erase markers scribbling hieroglyphics.>> <<@Benjaminbadakhshon says : Okay 👍>> <<@MrDivagation says : 2:15 I genuinely thought there was a mosquito next to my right ear 😂>> <<@Balls-1337 says : Interesting! I would love to see a deeper breakdown of this and how it plays into natural and artificial harmonics>> <<@DelfaTime says : kinda logic makes sense when though about it>> <<@maz_hat34 says : Would the string still be considered a wave? Just like a light wave or a ocean wave, the movement of the string still has a Wave Crest (The highest corners), Wave length (The distance between the corners), Amplitude (The strings distance from the original shape), Wave Height (How tall the corners are), and a Wave Trough (The lowest corner of the string).>> <<@tilkomp says : so your telling me plucked strings are essentially saw waves or triangle waves depending on where they're plucked?>> <<@Ayeye_Brazof says : great>> <<@NOTREALQC says : Point one: video doesnt imagine string movement correctly Evidence: video of string movement>> <<@donmalone5824 says : this is very misleading the distortion of the medium(the string) does travel to the ends and gets reflected back at the ends (but not completely) these reflections start adding and subtracting (canceling out the non resonant frequencies) after a short amount of time the only thing left are the standing waves at the resonant frequencies there are never any sharp corners to make a triangle a similar process happens to a column of air in a wind instrument>> <<@Gato-Cascoteado says : Hi, former vibrating string here, very interesting video, but some of the quantum folks will certainly disagree.>> <<@HardToVaryPhysics says : The high-speed footage of the string's actual motion versus the simple vibrate-in-place picture was the reveal that landed hardest. Seeing how bizarre the real path is made the acoustics suddenly impossible to hand-wave.>> <<@emilyrln says : And yet the triangle wave doesn't sound like a triangle wave… my brain hurts 😂>> <<@qiguaimusic says : If you want a slower, much larger, illustration of this, just watch a highliner walk across a long slackline>> <<@diggydwarfman1224 says : This video singlehandedly shaped how I use synthesizers>> <<@louisaruth says : the weird part is, when plucked from the middle, the triangle the string makes is the same as a diminished chord when expressed as plots on a circle. it's almost like, duh, of course>> <<@mihailpramatarov says : this a little clickbait-y...but in a good way:) it depends on the stiffness. imagine you have a metal strip, like the bimetal strips, now try the same. it will produce sound, but will not bend like this....>> <<@spoocyguy says : No seriously how much adderall is this guy on?>> <<@dollarbr says : Great video, this is the kind of content i want to see>> <<@TheMcSebi says : It took me 3 minutes to realize this was not about the strings from string theory but instead was only a 5 minute video>>