@@RazvanGabor Greetings, it is the math itself which is abstract, since it relies on logic and theorems. Coincidentally, it very well explains many of the things and behaviors that happen or exist in real life, such as the way a system responds to frequency in this case. The matlab library that plots frequency response probably uses an algorithm that employs the fourier transform itsef somehow. In terms of measuring equipment, oscilloscopes (amplitude vs time) and spectrum analyzers (amplitude vs frequency) use complex circuitry to sample and then plot these things. Hope that helps. Cheers 🍻
@@bk-sl8ee Hello. Depending on your level and the languages you speak, there are several in math and physics which I happen to enjoy: - Frederick Schüller (German lecturing IN ENGLISH in Physics and math for physics grads, working at the perimeter institute) - Pavel Grinfeld's MathTheBeautiful channel, and his books. Vectors, tensors, with AND without coordinate systems - BlackPenRedPen for quick problems in math (integrals, sequences, series, complex numbers, differential equations) - Leonard Susskind's lectures at Stanford - Walter Lewin's own. He has a true pedagogical talent and the lectures are quite entertaining. He's the real life Dr "Doc" Emett Brown from Back to the Future, if you know the movies (the movie character is not inspired by him but.. the character is very close to lewin) - Michael Penn for maths, he proves almost everything, very good stuff. - (In French) Etienne Parizot (Math for Physics, Special Relativity, Quantum mechanics) - (In French) Electronics, classical mechanics (no Lagrangian or Hamiltonian): "E-Learning Physique" from a professor at a reputed institution. - (in German) "Urknall Welt und das Leben" channel and especially its series "Von Aristoteles zur String Theorie" with calculations and insights provided by theoretical Physicist Josef Gaßner Then, books😁 I'd like some input from other people if possible if you have interesting channels in: - classical electrodynamics (up to antennas included) - electronics - nuclear physics - particle physics - theoretical lectures on black holes - quantum electrodynamics Any help would be much appreciated How my answer helps refine your choices of teachers on YT😊
Can confirm. Some videos have an enormous replay value, in an unlikely event of one becoming smarter few years later. Unlike the latest video about some smartphone that is outdated one week after
I am from Iraq, a physics student at Mustansiriya University. This channel has helped me a lot and I respect all its topics. Thank you to the staff. This channel
Excellent use of computer graphics to connect an intuitive "ball and spring" model to an abstract frequency response graph. I've dreamed about using computer graphics to teach math since at least high school, but couldn't do the computer graphics because I couldn't do the math because I didn't have computer graphics helping me understand the math behind computer graphics.
This is most opportune! I have an exam this Monday that covers this topic and I've been having a hard time grasping it. This video has been very useful
When you're interested in DSP (Digital Signal Processing), you need to understand time domain vs frequency domain, Fourier transform, and converting unit impulse response to frequency response and vice-versa.
0:40 I programmed an audio filter using this concept many years ago. I didn't even know the maths of a filter but it worked fine! Fantastic videos, Eugene.
Wow...thank you so much. This is the most incredible youtube channel I have seen and it has allowed me to gain such a deep understanding of physics and mathematics! Thank you Eugene!
Eugene,have been following your videos for a long time. As an Electronics Engineer, I can only marvel at the fact how simple you make tough concepts of Signal Processing so easily understandable to us. Thanks a lot! Please keep on making such wonderful videos. I wish I knew the art of making such videos, because I have a lot of ideas which can be effectively conveyed (especially in Finance and Economics).
Amazing creation ...✨ I was egarly waiting for your next video. My favourite channel ❤️ It is a great thing that you are helping Physics lovers like me to go in depth of this beautiful subject. And also making others to love Physics.
This channel has gold content, sometimes, it feels bad TH-cam doesn't recommend such content and you have to find it yourself. It is quite difficult to understand abstract topics and these visualizations help a lot! I could not understand the concept of frequency response the video started the dawn of understanding and now I am willing to learn! Thanks a lot Eugene!!
Speaking of frequency analysis, here is a trivia tidbit for history buffs - 1940's bombshell actress Hedy Lamarr was as smart as she was beautiful ... she was credited with the invention of Frequency Agile communications, which she used as a way to posit a new secure wireless guidance system for torpedoes for the US Navy during the desperate early years of WWII. She was ahead of her time, and it took the Navy many months to implement it. In later decades it formed the basis for a variety of encrypted communications including electronic warfare (jam-resistant radar IFF & guidance, et al). Her bio is a fascinating read - google her on wikipedia.
What I mean is that to find the amplitude and phase at any frequency, we first calculate w = 2*pi*frequency, and then we calculate the transfer function H(s) at s= (i)(W). In other words, we calculate H(iw). The output of this gives a complex number with a magnitude and a phase.
@@EugeneKhutoryansky Oh 😓now I got it. All the points on that blue imaginary axis i.e 1i, 2i, 3i, .... are actually angular velocity (w=2πf) multiplied by iota (i)? The output is the amplitude and the colour indicates the difference in phase of input and output? Am I right. Then what was that orange real axis for?
@@EugeneKhutoryansky Oh 😳 you mean to say that even at the resonant frequency, it is not necessary that the system will be damaged. Only the amplitude is maximum at resonant frequency; breaking of the system is an exceptional case?
Yes, the amplitude is a maximum at the resonant frequency, and whether or not the system will break depends on whether or not it can handle this amplitude. If there is no damping, then the amplitude at the resonant input frequency would theoretically reach infinity.
@@EugeneKhutoryansky Wow. 😱😱 Thank you very much my mentor for giving me this precious conceptual sentence . "If there is no damping in the system, the amplitude at the resonant input frequency will theoretically reach infinity." 💖💖💖💖💖💖💚💚
All the music in this video is from the free TH-cam audio library, and the names of the songs are the following. Wedding_Invitation Wigs Fur_Elise_by_Beethoven
“Like” is too weak a term. “Am grateful for” is a little closer. Becoming a Patreon as soon as I finish typing this. You are doing unmitigated good for the world
Thanks for the compliment. I make my 3D animations with "Poser." Though, Poser does not have built in functions for complex variables. I had to create those myself.
Are transfer functions usually/always anti-symmetric across the real axis? What would it mean to have a transfer function that has a different magnitude with negative omega input frequency than it does with omega input frequency?
It' s a great explanation. Can you please show in the same way when we throw a stone into a pond. I Mean: to show the whole process mathematically and visually. Thanks
What is K? I feel like the end of that video showed some crazy phenomena happening in the graph at K = 4.0 Also wondering what are the components of s are... I’m guessing spring tension, length, spiral diameter? Pretty new to this over here
"s" is the frequency parameter, so Im(s) is the frequency. Re(s) is, well, the imaginary frequency, so exp(st) has both oscillatory and exponential behavior. The springs were all the same, with resonant frequency squared f^2=k/m, and damping ratio "g". The transfer function then goes like 1/sqrt( (2fg)^2+ (f^2-s^2)^2/s^2)
It relates to many applications i.e being studying mechanical engineering, I am gonna use this concept to prevent the parts of machines to break or fail due to mechanical vibrations. I hope you got it.
Not an engineer here. But doesn’t this concept explain why the infamous Tacoma Narrows bridge collapsed. The wind being the input frequency and the “gallop” of the bridge being the output frequency? So the engineering mistake was not accounting properly for the transfer function? Anyone can help me here?
David, yes you are basically correct. To be more precise, the wind created an input function which included frequency components at the resonant frequency.
@@Pseudify Yes you are right. They forgot to take the wind into account. You must have noticed that when high speed winds flow, they don't keep on flowing. The first high pressure wind slap move the bridge from its mean position to one extreme position, after that slap of wind the pressure suddenly drops down and the bridge moves (oscillates) to its other extreme position. I mean to say that like sound waves, winds also flow like waves, i.e, in the form of compressions and rarefactions of large wavelengths. I hope you got it. The solution to your problem is to simulate the wind analysis for that bridge. Thank you.
It is a humble request to the owner of this wonderful & unique channel, that, please try making videos on MAL and MAP detection/estimation, concepts related to digital signal processing, random processes, power spectral density, DFT, FFT, etc. I will be waiting. Thank you very much 😊😊
Thanks for the compliment about my video. I make my 3D animations with Poser. I discuss how I make my 3D animations in my video at th-cam.com/video/6Hl5dvA88Uo/w-d-xo.html
No, the real part of s is not omega. We first calculate w = 2*pi*frequency, and then we calculate the transfer function H(s) at s= (i)(w). In other words, we calculate H(iw). The output of this gives a complex number with a magnitude and a phase. Thanks.
First I would like to correct myself: 1:43 clearly shows that what I was referring to is the imaginary part and not the real part. I just thought it was omega because 1:27 said so. It suggested to me that changing the frequency would only move on that line, change the imaginary part of the input. So I thought that if changing the frequency can't move the input in the direction of the real component, what parameter other than the frequency would I have to change to get to those massive magnitudes that aren't on the original line? Maybe something about the mass, the stiffness of the spring, or the damping?
If we reduce the damping to zero, then the two locations where the magnitude is infinity will be on the imaginary axis, and it will be possible to pick a frequency such that |H(iw)| = infinity.
Another great video !I still have doubt please respond. Poles of transfer function means resonant frequency of function ? If yes then it any system/circuit have freq of 50 Hz then how would you represent it in complex s= x + iy form ?
To calculate the frequency response, we enter s = (i)(w). This will have the highest amplitude where w is equal to the imaginary component of one of the poles, and w is equal to 2*pi*frequency.
The pole can have both a real component and an imaginary component. But, the frequency response is at a maximum when (i)(w) is equal to the imaginary component of the pole.
@@EugeneKhutoryansky I am confused in s=iw part. I can understand that as 50 Hz sine input can be represented as s=iw .but in what kind of input we represent with real part(x) of s=x+iw
The pole can have both a real component and an imaginary component. But, the frequency response is always H(iw), which is at a maximum when (iw) is equal to the imaginary component of the pole. We first calculate w = 2*pi*frequency, and then we calculate the transfer function H(s) at s= (iw).
I make my 3D animations with "Poser." Though, Poser does not have any built in functions for complex variables. I had to write those myself. Thanks for the compliment.
I explain Kirchhoff's Laws in my video at th-cam.com/video/m4jzgqZu-4s/w-d-xo.html I explain Maxwell's Laws in my video at th-cam.com/video/9Tm2c6NJH4Y/w-d-xo.html
Those answers are not answerable by physics, it's really more philosophy. Either way, you would probably be more interested in a channel like Arvin Ash to answer those questions.
Many of my videos already have Turkish subtitles available. If you would like to help me add Turkish subtitles to a video that does not already have them, please send me an email. My email address is available in the "about" tab on my TH-cam home page. I will email you the subtitle file in English (which includes the timings). You will then be able to edit the file to replace the English with the translation, and then email the file back to me, and I will then upload the translation to my channel. Thanks.
@@EugeneKhutoryansky I just noticed your channel and be curious what happened the video ? My english is not enough for your video .I am writing help with translation . So I hink I can't help you for subtitles . But I'll watch your another videos with subtitle. I think there are good videos , even though i haven't watched yet.
Astro-Physics Community (with 12,541 likes) has now given the following three writings the thumbs up. TOTAL PERFECTION: E=MC2 AS F=MA CLEARLY PROVES (ON BALANCE) WHY AND HOW THE PROPER AND FULL UNDERSTANDING OF TIME (AND TIME DILATION) UNIVERSALLY ESTABLISHES THE FACT THAT ELECTROMAGNETISM/ENERGY IS GRAVITY: A PHOTON may be placed at the center of what is THE SUN (as A POINT, of course), AS the reduction of SPACE is offset by (or BALANCED with) the speed of light; AS E=mc2 IS F=ma; AS ELECTROMAGNETISM/energy is gravity. Indeed, the stars AND PLANETS are POINTS in the night sky. E=mc2 IS F=ma. Gravity IS ELECTROMAGNETISM/energy. Time DILATION ULTIMATELY proves ON BALANCE that ELECTROMAGNETISM/energy is GRAVITY, AS E=mc2 IS F=ma. Indeed, TIME is NECESSARILY possible/potential AND actual IN BALANCE; AS ELECTROMAGNETISM/ENERGY IS GRAVITY; AS E=MC2 IS F=MA. Great. "Mass"/ENERGY IS GRAVITY. ELECTROMAGNETISM/ENERGY IS GRAVITY. E=mc2 IS F=ma. (Very importantly, outer "space" involves full inertia; AND it is fully invisible AND black.) BALANCE and completeness go hand in hand. It ALL CLEARLY makes perfect sense. I have mathematically unified physics/physical experience, as I have CLEARLY proven that E=mc2 IS F=ma in what is a truly universal and BALANCED fashion. By Frank DiMeglio Mr. Boris Stoyanov is a super bright and an HONEST physicist. He has agreed that the following post is "crystal clear": ELECTROMAGNETISM/energy is gravity. This is proven by F=ma AND E=mc2. Accordingly, gravity/acceleration involves balanced inertia/inertial resistance; as ELECTROMAGNETISM/energy is gravity. "Mass"/energy involves balanced inertia/inertial resistance consistent with/as what is balanced ELECTROMAGNETIC/GRAVITATIONAL force/energy, as electromagnetism/energy is gravity. Gravity IS electromagnetism/energy. That objects fall at the same rate (neglecting air resistance, of course) PROVES that ELECTROMAGNETISM/energy is gravity. Think about it. By Frank DiMeglio THE SIMPLE, PROPER, FULL, AND BALANCED UNDERSTANDING OF THE SHAPE, FORM, AND RELATIONAL MOTION OF WHAT IS THE MOON IN UNIVERSAL ACCORDANCE WITH THE FACT THAT E=MC2 IS F=MA: What is THE MOON is moving AND not moving IN BALANCED RELATION to the Earth AND the Sun AS a linked AND BALANCED opposite in accordance with the UNIVERSAL fact that E=mc2 IS F=ma. THEREFORE, the rotation of WHAT IS THE MOON necessarily matches it's revolution; AS gravity/acceleration involves BALANCED inertia/INERTIAL RESISTANCE; AS ELECTROMAGNETISM/ENERGY IS GRAVITY. Accordingly, the shape AND form of the Moon is basically constant or invariant. The Moon is a BALANCED MIDDLE DISTANCE manifestation or form that is in fundamental accordance with the Earth/Sun BALANCE pursuant to the fact that E=mc2 IS F=ma. GREAT !!! Therefore, the Moon is electromagnetically/gravitationally extended AND contracted ON BALANCE in true agreement with the fact that E=mc2 IS F=ma. Gravitational force/ENERGY IS proportional to (or BALANCED with/as) inertia/INERTIAL RESISTANCE, AS E=mc2 IS F=ma; AS ELECTROMAGNETISM/ENERGY IS GRAVITY. "Mass"/ENERGY involves BALANCED inertia/INERTIAL RESISTANCE consistent with/AS what is BALANCED electromagnetic/gravitational force/ENERGY, AS ELECTROMAGNETISM/ENERGY IS GRAVITY; AS E=mc2 IS F=ma. It ALL CLEARLY makes perfect sense. Gravity IS ELECTROMAGNETISM/energy. By Frank DiMeglio
I make my 3D animations with "Poser." Though, Poser does not have built in functions for imaginary numbers and complex variables. I had to create those myself.
As an electrical engineer, it is incredibly satisfying to visualize such abstract topics we study.. thank you so much!
Thanks. I am glad you liked my visualization.
How is this abstract when you can literally plot bode on an oscilloscope or in matlab and clearly see it?
@@RazvanGabor Greetings, it is the math itself which is abstract, since it relies on logic and theorems. Coincidentally, it very well explains many of the things and behaviors that happen or exist in real life, such as the way a system responds to frequency in this case. The matlab library that plots frequency response probably uses an algorithm that employs the fourier transform itsef somehow. In terms of measuring equipment, oscilloscopes (amplitude vs time) and spectrum analyzers (amplitude vs frequency) use complex circuitry to sample and then plot these things. Hope that helps. Cheers 🍻
@@RazvanGabor psst: that’s still abstract
The best physics channel on TH-cam!! We all are glad that we found this channel aren't we?!
Thanks for that really great compliment.
@@EugeneKhutoryansky welcome!!
No doubt about that. Since I'm a proponent of Everett's interpretation of QM, I cannot help but pity that other me who never found that channel....
@@ChaineYTXF which other channels do u recommend and which do u think are gems?
@@bk-sl8ee Hello. Depending on your level and the languages you speak, there are several in math and physics which I happen to enjoy:
- Frederick Schüller (German lecturing IN ENGLISH in Physics and math for physics grads, working at the perimeter institute)
- Pavel Grinfeld's MathTheBeautiful channel, and his books. Vectors, tensors, with AND without coordinate systems
- BlackPenRedPen for quick problems in math (integrals, sequences, series, complex numbers, differential equations)
- Leonard Susskind's lectures at Stanford
- Walter Lewin's own. He has a true pedagogical talent and the lectures are quite entertaining. He's the real life Dr "Doc" Emett Brown from Back to the Future, if you know the movies (the movie character is not inspired by him but.. the character is very close to lewin)
- Michael Penn for maths, he proves almost everything, very good stuff.
- (In French) Etienne Parizot (Math for Physics, Special Relativity, Quantum mechanics)
- (In French) Electronics, classical mechanics (no Lagrangian or Hamiltonian): "E-Learning Physique" from a professor at a reputed institution.
- (in German) "Urknall Welt und das Leben" channel and especially its series "Von Aristoteles zur String Theorie" with calculations and insights provided by theoretical Physicist Josef Gaßner
Then, books😁
I'd like some input from other people if possible if you have interesting channels in:
- classical electrodynamics (up to antennas included)
- electronics
- nuclear physics
- particle physics
- theoretical lectures on black holes
- quantum electrodynamics
Any help would be much appreciated
How my answer helps refine your choices of teachers on YT😊
Im 50, these videos would have made a world of difference for me back at university.
Omg.same here. this would have made a huge impact on my life if i saw it 10 years back! Even life decisions:/
If i had a time machine and could go back even 25 years to college i could Ace any test with this type o info.
Im 29 and also couldnt agree more
I hear you. Unfortunately with or without internet there still are a lot of teachers out there that puts out the thirst for knowledge.
th-cam.com/video/i3560RBklL0/w-d-xo.html
I am again certifying that this is the best Mathematical and natural science animation channel👍
Thanks for the compliment.
@12345shushi I appreciate 👍
Can confirm. Some videos have an enormous replay value, in an unlikely event of one becoming smarter few years later. Unlike the latest video about some smartphone that is outdated one week after
I am from Iraq, a physics student at Mustansiriya University. This channel has helped me a lot and I respect all its topics. Thank you to the staff. This channel
Excellent use of computer graphics to connect an intuitive "ball and spring" model to an abstract frequency response graph. I've dreamed about using computer graphics to teach math since at least high school, but couldn't do the computer graphics because I couldn't do the math because I didn't have computer graphics helping me understand the math behind computer graphics.
This is the best TH-cam channel for everyone who love science. Best animation ever. You deserve 1 billion subscriber 🧠
Thanks for the compliments.
I cannot stress enough about how much your videos have helped me understand core topics for my degree.Thankyou so much for this!❤
I am glad my videos are helpful. Thanks.
This is most opportune! I have an exam this Monday that covers this topic and I've been having a hard time grasping it. This video has been very useful
Thanks. I am glad my video came out just in time for your exam. Good luck with it.
When you're interested in DSP (Digital Signal Processing), you need to understand time domain vs frequency domain, Fourier transform, and converting unit impulse response to frequency response and vice-versa.
0:40 I programmed an audio filter using this concept many years ago. I didn't even know the maths of a filter but it worked fine!
Fantastic videos, Eugene.
Thanks. I am glad you like my videos.
Wow...thank you so much. This is the most incredible youtube channel I have seen and it has allowed me to gain such a deep understanding of physics and mathematics! Thank you Eugene!
Thanks for the compliment. I am glad my videos are helpful.
These visualization are absolutely amazing. Thank you so much.
Thanks.
Eugene,have been following your videos for a long time. As an Electronics Engineer, I can only marvel at the fact how simple you make tough concepts of Signal Processing so easily understandable to us. Thanks a lot!
Please keep on making such wonderful videos. I wish I knew the art of making such videos, because I have a lot of ideas which can be effectively conveyed (especially in Finance and Economics).
Thanks for the compliments.
Unimaginable how many more scientists we'd have if the basics were explained in understandable terms like this one.
The voice and music is soo soothing. I sleep on this video without understanding anything.
Amazing creation ...✨ I was egarly waiting for your next video. My favourite channel ❤️
It is a great thing that you are helping Physics lovers like me to go in depth of this beautiful subject. And also making others to love Physics.
Thanks for the compliments.
@@EugeneKhutoryansky Thank you ...😊
This channel has gold content, sometimes, it feels bad TH-cam doesn't recommend such content and you have to find it yourself.
It is quite difficult to understand abstract topics and these visualizations help a lot!
I could not understand the concept of frequency response the video started the dawn of understanding and now I am willing to learn!
Thanks a lot Eugene!!
Thanks. I am glad my visualizations are helpful.
I have wanted to learn physics for a long time but could never get enough motivation to actually study. So happy to have found this channel.
I am also happy you found my channel. Thanks.
This is real treat
I love control theory, would love to see more videos. Have already seen that stability video long time ago
I plan to do additional videos on control theory in the future. Thanks.
Cool. I did chem engineering and control theory was one of the most challenging bits for me
Only youtube channel that i have bell icon turned on for....amazing!!!
Thanks.
Finally a video on one of my favorite topics!
Your work is always worth watching. Very neat visualisations. I will spread the word of their existence to my students.
Thanks.
About to send this off to friends in a controls engineering class. This really helps nail down the concept.
Thanks for sharing the link to my video and I am glad that it is helpful.
I was waiting for this for years!
Your videos are priceless!
Simply wonderful!!!
Thanks for the compliment about my videos.
I am studying a signals course and i was struggling to visualize concepts . Thanl you for helping me. God bless you.
I am glad my video was helpful. Thanks.
Amazing as Always !!!
Thanks.
I dont have time right now to watch this video but sure when I finish what ik doing I'll watch it! Nice work keep on going!!!
The amount of respect I have for this channel is nothing compared to the amount of respect I have I have for their bg music selection.
Yes same case with me.
That was better than the college book explanation!
Thanks.
Великолепно! Спасибо огромное! Подобный формат, это будущие всего образования.
WOW.. thank U sir. I never realize it in this way. Always doing the calculations, but without this understanding! Again, Thank you!
Thanks. I am glad my video was helpful.
Dear Eugene, continue the quality job. Thank you
Thanks. More videos are on their way.
This is excellent. Thank you so much.
Thanks.
:O MFW subwoofer box design and frequency response curves of a given speaker driver finally starts making sense.
Wow ..... amazing ❤️❤️
Thanks.
@@EugeneKhutoryansky I thought it was "Frequent Questions"
love this channel. thanks God for this channel existence
Thanks. I am glad that you like my videos.
Your all videos are always awesome madam.more physics lover always waiting for ur video all around the world.
Good video, it was a useful refresher for my engineering course in sound and vibration control ❤
I am glad my video was useful.
Спасибо за видео и за субтитры на русском!
Отдельное спасибо за русские субтитры ^_^
I love the way you present the ideas of physics so brilliantly by 3d animation
by the way big fan of you sir
Thanks for the compliments. I am glad you like my videos.
Speaking of frequency analysis, here is a trivia tidbit for history buffs - 1940's bombshell actress Hedy Lamarr was as smart as she was beautiful ... she was credited with the invention of Frequency Agile communications, which she used as a way to posit a new secure wireless guidance system for torpedoes for the US Navy during the desperate early years of WWII. She was ahead of her time, and it took the Navy many months to implement it. In later decades it formed the basis for a variety of encrypted communications including electronic warfare (jam-resistant radar IFF & guidance, et al).
Her bio is a fascinating read - google her on wikipedia.
I wish I had course material like this for Physics 363: Vibrations, Waves and Optics.
I ❤ how the music changes
Best YT channel ever❤️
Thanks for the compliment.
At 2:32 why did you remove orange axis? 😵😵😵😵
That is the axis for the real number line. When calculating the frequency response, we enter s = (i)(w).
@@EugeneKhutoryansky What do you mean by s= (i)(W) ? Do you mean we can only enter the imaginary part in input?
What I mean is that to find the amplitude and phase at any frequency, we first calculate w = 2*pi*frequency, and then we calculate the transfer function H(s) at s= (i)(W). In other words, we calculate H(iw). The output of this gives a complex number with a magnitude and a phase.
@@EugeneKhutoryansky Oh 😓now I got it. All the points on that blue imaginary axis i.e 1i, 2i, 3i, .... are actually angular velocity (w=2πf) multiplied by iota (i)? The output is the amplitude and the colour indicates the difference in phase of input and output? Am I right.
Then what was that orange real axis for?
Yes, you are correct. The orange real axis was to show the output of H(s) for "all" possible values of s. Thanks.
a 3:18 you can see why 90 degrees out-of-phase transfers maximum power.
Oh now I got it that when the frequency will reach resonant frequency , the spring will break. 😨😨 Well done my mentor 🙆😳
Thanks. Though, the spring will still be OK at the resonant frequency if there is sufficient damping to the system, as in the original example.
@@EugeneKhutoryansky Oh 😳 you mean to say that even at the resonant frequency, it is not necessary that the system will be damaged. Only the amplitude is maximum at resonant frequency; breaking of the system is an exceptional case?
Yes, the amplitude is a maximum at the resonant frequency, and whether or not the system will break depends on whether or not it can handle this amplitude. If there is no damping, then the amplitude at the resonant input frequency would theoretically reach infinity.
@@EugeneKhutoryansky What is spring?
@@EugeneKhutoryansky Wow. 😱😱 Thank you very much my mentor for giving me this precious conceptual sentence .
"If there is no damping in the system, the amplitude at the resonant input frequency will theoretically reach infinity."
💖💖💖💖💖💖💚💚
the music does not need to go this hard
I was missing you very much.
So far -- didn't understand it at all -- will try to watch it several more times... ;-((
I'm going to have to rewatch this one
Again one awesome video ❤️
Thanks. Glad you liked it.
Question: does the tiny peak reach infinity at 4:40?
Yes.
I'm only commenting so more people see this c:
I wish I could have seen the channel when I was a mechanical engineering student!
What is the music in this video?
Thank you :)
All the music in this video is from the free TH-cam audio library, and the names of the songs are the following.
Wedding_Invitation
Wigs
Fur_Elise_by_Beethoven
I love your videos so much
Thanks. I am glad you like my videos.
“Like” is too weak a term. “Am grateful for” is a little closer. Becoming a Patreon as soon as I finish typing this.
You are doing unmitigated good for the world
Thanks. I really appreciate your support!!!
Greate video ! Hope to see some videos about Control Theory, Feedback loops and e.t.c.
Thanks for the compliment about my video. I already have a few videos on Control Theory. The links are at the end of the video.
Finally understood it
Ps: after I graduated from engineering school
Glad my video was helpful. Thanks.
I wish they taught it like this in the systems engineering course I took.
First, thank you for the Creative way you teaching electrical engineering ,sir.
Second, can you mention the software you use for these animations?
Thanks for the compliment. I make my 3D animations with "Poser." Though, Poser does not have built in functions for complex variables. I had to create those myself.
Very informative, thanks!
Thanks.
Are transfer functions usually/always anti-symmetric across the real axis? What would it mean to have a transfer function that has a different magnitude with negative omega input frequency than it does with omega input frequency?
The transfer function is always symmetric across the real axis, for any system that can actually be physically implemented.
It' s a great explanation. Can you please show in the same way when we throw a stone into a pond. I Mean: to show the whole process mathematically and visually. Thanks
Thanks for the compiment. I have a detailed video on waves at th-cam.com/video/Io-HXZTepH4/w-d-xo.html
I don't really get it. Except the visualisation with the spring wich is brillant, it's just a regular transfer fonction graph ?
Yes, it is a regular transfer function graph. I am showing the relationship between the transfer function and the frequency response. Thanks.
Please make a video on zeros and poles of a system function
I cover that in my video on imaginary numbers and functions of complex variables at th-cam.com/video/bIY6ahHVgqA/w-d-xo.html
simple and brilliant
Thanks.
What is K? I feel like the end of that video showed some crazy phenomena happening in the graph at K = 4.0
Also wondering what are the components of s are... I’m guessing spring tension, length, spiral diameter? Pretty new to this over here
"s" is the frequency parameter, so Im(s) is the frequency. Re(s) is, well, the imaginary frequency, so exp(st) has both oscillatory and exponential behavior. The springs were all the same, with resonant frequency squared f^2=k/m, and damping ratio "g". The transfer function then goes like 1/sqrt( (2fg)^2+ (f^2-s^2)^2/s^2)
Hey man. Great video, as always but some context would be nice. I have no idea what it's about or what it relates to 😅
It relates to many applications i.e being studying mechanical engineering, I am gonna use this concept to prevent the parts of machines to break or fail due to mechanical vibrations. I hope you got it.
Not an engineer here. But doesn’t this concept explain why the infamous Tacoma Narrows bridge collapsed. The wind being the input frequency and the “gallop” of the bridge being the output frequency? So the engineering mistake was not accounting properly for the transfer function? Anyone can help me here?
David, yes you are basically correct. To be more precise, the wind created an input function which included frequency components at the resonant frequency.
@@Pseudify Yes you are right. They forgot to take the wind into account. You must have noticed that when high speed winds flow, they don't keep on flowing. The first high pressure wind slap move the bridge from its mean position to one extreme position, after that slap of wind the pressure suddenly drops down and the bridge moves (oscillates) to its other extreme position. I mean to say that like sound waves, winds also flow like waves, i.e, in the form of compressions and rarefactions of large wavelengths. I hope you got it.
The solution to your problem is to simulate the wind analysis for that bridge. Thank you.
It is a humble request to the owner of this wonderful & unique channel, that, please try making videos on MAL and MAP detection/estimation, concepts related to digital signal processing, random processes, power spectral density, DFT, FFT, etc.
I will be waiting.
Thank you very much 😊😊
I will add that to my list of topics for future videos. Thanks.
Hi, Congrats on this amazing video. I'm a professor and I would like to know which software are you using to make such animations? Thanks in advance.
Thanks for the compliment about my video. I make my 3D animations with Poser. I discuss how I make my 3D animations in my video at th-cam.com/video/6Hl5dvA88Uo/w-d-xo.html
So the real part of s is omega, with dimension cycles per time. Does the imaginary component have the same unit/dimension? What does it represent?
No, the real part of s is not omega. We first calculate w = 2*pi*frequency, and then we calculate the transfer function H(s) at s= (i)(w). In other words, we calculate H(iw). The output of this gives a complex number with a magnitude and a phase. Thanks.
First I would like to correct myself: 1:43 clearly shows that what I was referring to is the imaginary part and not the real part.
I just thought it was omega because 1:27 said so. It suggested to me that changing the frequency would only move on that line, change the imaginary part of the input.
So I thought that if changing the frequency can't move the input in the direction of the real component, what parameter other than the frequency would I have to change to get to those massive magnitudes that aren't on the original line? Maybe something about the mass, the stiffness of the spring, or the damping?
If we reduce the damping to zero, then the two locations where the magnitude is infinity will be on the imaginary axis, and it will be possible to pick a frequency such that |H(iw)| = infinity.
Thanks for the video!
Thanks.
Love your visualization. What do you use for making your videos and visualization?
I make my 3D animations with "Poser." Thanks.
Another great video !I still have doubt please respond. Poles of transfer function means resonant frequency of function ? If yes then it any system/circuit have freq of 50 Hz then how would you represent it in complex s= x + iy form ?
To calculate the frequency response, we enter s = (i)(w). This will have the highest amplitude where w is equal to the imaginary component of one of the poles, and w is equal to 2*pi*frequency.
@@EugeneKhutoryansky so you mean pole won't have real component ,only imaginary component s=iw ?
The pole can have both a real component and an imaginary component. But, the frequency response is at a maximum when (i)(w) is equal to the imaginary component of the pole.
@@EugeneKhutoryansky I am confused in s=iw part. I can understand that as 50 Hz sine input can be represented as s=iw .but in what kind of input we represent with real part(x) of s=x+iw
The pole can have both a real component and an imaginary component. But, the frequency response is always H(iw), which is at a maximum when (iw) is equal to the imaginary component of the pole. We first calculate w = 2*pi*frequency, and then we calculate the transfer function H(s) at s= (iw).
what program are you using to create these visuals? it would really help my paper to show graphs like this.
I make my 3D animations with "Poser." Though, Poser does not have built in functions for complex variables. I had to create those myself.
A mathematical application of this? Can we see some examples related to a few RCL circuits?
I cover resonance in RCL circuits in my video at th-cam.com/video/Mq-PF1vo9QA/w-d-xo.html
Thanks.
what programs do you use to animate these videos? they are truly amizing
I make my 3D animations with "Poser." Though, Poser does not have any built in functions for complex variables. I had to write those myself. Thanks for the compliment.
can you do a video explaining electronics laws like kirchoff, maxwell, etc. I think having a visual would help me.
I explain Kirchhoff's Laws in my video at th-cam.com/video/m4jzgqZu-4s/w-d-xo.html
I explain Maxwell's Laws in my video at th-cam.com/video/9Tm2c6NJH4Y/w-d-xo.html
@@EugeneKhutoryansky Thank you!
Basic concepts and geometrical analysis are purely explained with graphic visualizations
Awesome 🙏🏻🙏🏻🙏🏻
Thanks.
What are the explanation in physics regarding consciousness and reality..... I mean why do life exist?
Those answers are not answerable by physics, it's really more philosophy. Either way, you would probably be more interested in a channel like Arvin Ash to answer those questions.
Are you the narrator from Robocraft? Your voice is very similar.
What took you so long? If only you publish this 30 years ago...
Great score 👍
Thanks.
Hey Eugene, what animation software do you use?
I make my 3D animations with "Poser."
Am I the only person that watched this and got more confused?
Please also add Turkish subtitles.
Many of my videos already have Turkish subtitles available. If you would like to help me add Turkish subtitles to a video that does not already have them, please send me an email. My email address is available in the "about" tab on my TH-cam home page. I will email you the subtitle file in English (which includes the timings). You will then be able to edit the file to replace the English with the translation, and then email the file back to me, and I will then upload the translation to my channel. Thanks.
@@EugeneKhutoryansky I just noticed your channel and be curious what happened the video ? My english is not enough for your video .I am writing help with translation . So I hink I can't help you for subtitles . But I'll watch your another videos with subtitle. I think there are good videos ,
even though i haven't watched yet.
Hi hope your remember me,
Please make more videos on astronomy🙏🙏
If you make same type of content for Chemical and Biological phenomena
It would be very useful
Please reply ❤️
My knowledge of chemistry and biology are unfortunately not as strong as my knowledge of physics.
@@EugeneKhutoryansky oh okay thanks ♥️👍
nice vid!
Thanks.
Nice explanation.
Thanks.
@@EugeneKhutoryansky my pleasure
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Very nice. But the music is distracting.
Anyone knows what programm does he use?
I make my 3D animations with "Poser." Though, Poser does not have built in functions for imaginary numbers and complex variables. I had to create those myself.
Skin effect would make a good video?
The skin effect is on my list of topics for future videos.
Thanks you great video
Thanks. I am glad you liked my video.