The Dance of Coupled Oscillators | Understanding Normal Modes & Frequencies

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Күн бұрын

Coupled Oscillators are systems in which two or more oscillating systems are coupled together so that each can exchange energy with the other. The motion is quite interesting.
The general solution is a linear superposition of two distinct frequencies, known as Normal frequencies. Under certain initial conditions, the entire system can execute Simple harmonic oscillations with these normal frequencies. Such modes are known as Normal Modes.
If we know the normal modes of a coupled oscillator, we can construct its general solution by the linear combination of the distinct normal frequencies! Voila.
00:00 Introduction
02:03 Obtain equations of Motion
19:40 Normal Modes & Frequencies
31:12 Beats
48:15 Revision
Interested in moreeeeee....?
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1. The Simple Pendulum is not so Simple - • It's NOT so Simple: P...
2. The Chaos of the Double Pendulum - • The Chaos of Double Pe...
3. The Double Pendulum as Coupled Oscillator - • Double Pendulum as Cou...
4. The Coupled Pendulum (Normal Modes) - • The Love Affair of "Co...
5. Coupled Oscillators (Normal Modes/ Frequencies) • The Dance of Coupled O...
6. Damped Harmonic Oscillators - • The Physics of Damped ...
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7. What if you fell through a TUNNEL through Earth - • PHYSICS PROBLEM: What ...
8. BLOCK Stacking Problem (Very Interesting) - • How many Blocks can yo...
9. Terminal Velocity (Force Equations) - • Why Objects reach Term...
10. WELL OF DEATH - Physics Problem - • Well of Death - Mechan...
11. Fermat's Principle to Snell's Law - • Fermat's Principle to ...
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PLAYLIST on Various Problems on MECHANICS
• Problems in Mechanics
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*My Notes (PDF), and SCILAB Programs are uploaded to my PATREON, and Telegram Channel*

Пікірлер: 49

@FortheLoveofPhysics 3 жыл бұрын

All this talk about SHM. Let's add some DAMPING :) kzfaq.info/get/bejne/bqd4hJmYp7nccYk.html

@souravrana3585 3 жыл бұрын

Sir, I am fan of your pronunciation♥️♥️

@ayushthakur8836 3 жыл бұрын

Your explanation is just mind blowing 🔥🔥

@officialKairosYT 2 жыл бұрын

Very informative! Thank you very much!

@StutiKGP Жыл бұрын

Simple and crisp explanation. Thank you sir.

@MarcusCTomazetti 3 жыл бұрын

Best explanation on the beats. In a manner, I use expressions on Adobe After Effects, using the “wiggle expression” on AE to adjust the frequency and amplitude for given visual effects (47:45) Kudos!!

@bamlakyekidanemhret5738 Жыл бұрын

wow , your explanation is just mind blowing ! thank you very much🙏🙏🙏🙏🙏

@siddhanth5616 Жыл бұрын

extremely well presented in the simplest manner.. hats off to the efforts

@preethbera 10 ай бұрын

Thank you sir for this simple explanation

@cluxketti404 Жыл бұрын

Thank you very much sir..keep up the good work

@datsmydab-minecraft-and-mo5666 2 жыл бұрын

Wonderful Explanation

@NRUSINGHAPRASADMAHAPATRA 3 жыл бұрын

Great explanation Sir 😊🙏🙏

@snigdha3969 3 жыл бұрын

Please make a play list putting the vedios in order. Your way of teaching is great.

@user-rg5qr6zn9m 3 жыл бұрын

Thank you very much

@keshosingh5645 Жыл бұрын

extremely helpful topic🙏

@shubhangamshukla3364 7 ай бұрын

Amazing lecture❤

@deepsati51 Ай бұрын

complete realization ho gya topic ka thank you sir

@AlanSantos-ct3ge 2 жыл бұрын

thanks very much!

@abirroy8695 2 жыл бұрын

Best video on this topic

@somyaagarwal627 8 ай бұрын

thank you so much

@saumypandey2184 2 жыл бұрын

Well explained

@MuhammadNabeel-cb4rf 5 ай бұрын

Amazing ❤🎉🎉

@chandramoulisanthanam6964 Жыл бұрын

When considering the change in length of the second spring, why is it (x1-x2) for the first mass and (x2-x1) for the second mass?

@armalify 3 жыл бұрын

Regarding the first mass, you said " if x1 >x2" and for the second mass you said "if x2>x1" , could you please explain why did you assume these two contradicting assumptions for the same system? Thank you.

@rahulgarg1865 2 жыл бұрын

suppose x1>x2 while considering second mass, then the direction of force would be opposite (in this case rightwards). - k(x2 - x1)= + k (x1 - x2).

@zaheerahmed8574 3 жыл бұрын

Ultimate sir

@pkhisanjeevkumar2048 4 ай бұрын

sir how you explained this confused topic is very nice

@rpgtalkout8793 Жыл бұрын

Amazing

@chimyang8851 2 жыл бұрын

Maza ayae 👌

@letsgetit2983 2 жыл бұрын

7:05 Force due to middlespring.. If we take it as x1-x2..is it right.. Like what u did in the case of fst mass

@CHEESYhairyGASH 2 жыл бұрын

7:18 Regarding the first mass, you said " if x1 >x2" and for the second mass you said "if x2>x1" , could you please explain why did you assume these two contradicting assumptions for the same system? Thank you.

@sagnikdey828 Жыл бұрын

They are assumed to be different in both the cases just for the sake of simplicity. You can stick to a single assumption for both the masses and will end up getting the same pair of equations of motion.

@keshosingh5645 Жыл бұрын

sir, pls include lagranges eq for coupled oscillator

@PRITAMSAHA-cv7dv 9 ай бұрын

Sir just wow...watching b4 xm n8😅

@shareknowledgegainknowledg3557 Жыл бұрын

tq sir

@feveathim184 9 ай бұрын

Sir pls put a video for linear tri-atomic molecule in classical mecanics

@srinugadde4676 3 жыл бұрын

Which tools you used to teach!! Please tell me!??

@sauravveedu5667 3 жыл бұрын

I'm 3rd year hons students Thank you sir

@Conquer369 2 жыл бұрын

What if the entire system is being suspended vertically with both the ends being fixed and gravitational force also needs to be considered.

@anasfarid2492 3 жыл бұрын

Made us love Physics

@adilraza7902 Жыл бұрын

Sir are this lecture is from book nk bajaj wave and oscillation.

@saharshiitkgp7046 Жыл бұрын

💖

@aaryansingh2231 2 жыл бұрын

king

@LearnWithFardin 3 жыл бұрын

For the first mass, you considered x1 to be greater than x2 (at 5:18) And here (at 7:13) as for the second mass you considered x2 to be greater than x1!!! Why???? How can this even be possible at the same time? (Like Schrodinger's cat) 🤔🇧🇩