1. Simple Harmonic Motion & Problem Solving Introduction

[@KostantisX]

If you know your stuff you don't add unneeded complexity. I've seen this in almost all MIT videos. The teachers there actually care and want you to understand. Thank you MIT!!!

[@pronaypramanick4467]

Respected Professor, the reason you gave at 8:10 , for *"why u r going slowly"* , honestly saying, made me clap(out of appreciation + joy) at that very moment....U observed that seemingly common yet important thing which both our teacher and we tend to overlook .... *That was really "Richard Feynman-ish"*

[@mridul2987]

Ehm...ehm...ehm... But it wasn't Feynman-ish... The professor above is unique by his own. I highly recommend you to watch The Feynman Lectures, and then think about what you said. But I agree wityh you that this was a masterpiece...

[@alexleviyev]

This really has the calculus revisited feeling to it. I love it when all the information is already on the board so you can see it, and then the lecturer works through it. You see where you're starting, where you're going, and you can understand which points are important and which aren't. Very well done

[@kiwi4731]

@Jean thanks for the reference! This brushed up my calculus so much

[@supern0is349]

this is to be honest, quite admirable and dare i say, even lovely a guy that even at this age, with white hair, still loves and understands the scientific method. Not only that, he cares enough about it to emphasize why it's so important so younger people can follow along this right here is a true scientist.

[@BoZhaoengineering]

Professor Wit is awesome to explain the SHM. And his example just before end of the lecture is very inspiring. As a practicing engineer, we always use the “ general features” to predict the product we are designing. Superb! Than you professor.

[@seoulatheart2015]

I've realized what a real pain it is to teach myself something but MIT is always very helpful. I'm glad I found this video, very helpful.

[@sarvesh0303]

Wow, his presentation on the blackboard is so clear and precise! Somehow, it increments my interest in this lecture

[@RafaelHenrique-jz2vw]

We need more teachers like you!! Congratulations

[@nishantsinghsogarwaloffici7025]

Thank you so much for this wonderful lecture Love from Bharatpur Rajasthan India 🙏🏻🙏🏻🙏🏻🙏🏻❤️

[@jeewallanibba5639]

❤️❤️

[@srinidhishetty679]

❤️🙏🏻🙏🏻

[@nirmameghwanshi88]

👍👍🙏🙏

[@unclefreddy2009]

If only my college Physics professors were as clear. Fantastic

[@DeepakAtreja]

I am in eleventh standard and this video helped me a lot. Thanks

[@jayceeappi8592]

You have seriously advanced my understanding of mathematics from this lecture. Thank you so much.

[@markptak5269]

A new rock star is born. Thank you SOOO much for my kids generation!

[@FingerThatO]

THANK YOU MIT. my physics professor is the worst and this explained alot

[@mdmobashshir432]

+Misael Cifuentes lol every physics teacher seems the worst after a MIT lecture.

[@beniwaljaat2312]

Every professor has something special noone is worst

[@nazishahmad1337]

@@beniwaljaat2312 yay actually u r ryt none of the professor are actually worst its actually r problem that we doesn't co operates with some of professorS

[@nushaierhamza7969]

@@nazishahmad1337 Not true. Some professors have a habit of torturing their students for no reason. My physics professor made me hate physics even though I'm an engineering student.

[@oWhiteMonster]

Eyyy this professor has good hand writing, wow

[@fuji_films]

Hi. Are you alive? 😀

[@muhittinselcukgoksu1327]

Good Blackboard, Good Explanation... Thank you soooooo much Sir..

[@oWhiteMonster]

@@fuji_films yes

[@andrewjames6676]

A model of clarity. A model teacher.

[@Axelonmorales]

Thank you MIT this is an amazing lecture :D And an incredible professor

[@mecheasy4024]

Yes really amazing lecture.

[@xxintu]

27:20 "The most incomprehensible thing about the world is that it is comprehensible"

[@bibh947]

Thank You Sir Wit. Your teaching is really witty .

[@fernandonora1464]

Dear Professor: First of all I want to thank you by this excellent video. I also want to make you a comment: In minute 42, when you write the equation of motion for a rule, you forget to explain why is possible to aproximate sinus(theta) by theta. At this point, maybe you could talk about MacLaurin development of sinus function and aproximation of small oscilations. It´s just a mathematical sugestion that could be useful for many students. Yours faithfully. Fernando Nora.

[@Gaurav1921]

Fernando Nora it's because the value of sin theta is almost equal to theta(very small)

[@touficfakhreddine6017]

for small angles, sin theta is theta

[@jesusalexispachecomonagas8664]

Greetings from Venezuela. The professor explain very well the topic, I understood almost Simple Harmonic motion.

[@Akshaygupta13]

In love with the board work and the lecture ♥️

[@msunardi]

When he said he'll be 'going through the gory details', I was hoping there are more explanations on how to arrive at y(t) = A cos(omega_0.t + phi). I understand that it satisfies the equations, but I think for a viewer who is not familiar with trigonometric functions and calculus, that would be a big void to cross

[@pramodkharel2082]

this is for 2nd year undergraduate physics student. how can u can ask the professor for trigonometry classes...if u want to understand trigonometry and calculus see high school mathematics.

[@pablopelaez721]

@Rafic Dalati because, cos( something + π/2) = sen (something) A it replace by the angular velocity with is: Angular velocity/wo because if you replace t=0 , then sen (0+π/2)=1 and the it go. anguluar velocity=-w0.A, he replace that A for angular velocity/wo

[@MrMytubevidmaker]

So what about the minus sign? So as you explain it, it results in: (Ang. vel.)/w0=-A and not just A.

[@TKTBC777]

Thank you so much

[@Shumayal]

+Pablo Pelaez I know this is 2 years ago. But Angular velocity = 0 at t=0 So how can you keep Angular Velocity at t=0 when you know Angular Velocity is Zero?

[@finlay5033]

@@Shumayal because (-angV/w0) x cos(w0 + pi/2) = (-angV/w0) x -sin(w0) @Imran Akram

[@jardimmanuel]

Do you really need to get older to be so clear in such an explanation? Great lecture professor all The best for you.

[@snigdhadobhal9679]

This video is really helpful indeed, specially for understanding the mathematical aspect of physics

[@sirikamons]

Thank you for sharing. It's very easy to understand. It's very best lecture that I've ever seen.

[@prateeksingh6018]

Well our indian teachers are on a whole new level of mastery of their subjects. But sir u are awesome too ☺😊

[@pranavnair5317]

outstandingly exceptional impedance showcased by you sir hats off to you

[@Waranle]

Thank you MIT, Prof Wit Busza

[@gustavobagu7156]

FIRST SPRING-MASS PROBLEM: There is something strange. You cannot have Y=0 at the point where both forces are equal, since according to your drawings, Y is measured from the basement line. That Y-value must clearly be positive

[@netrapture]

the basement line is Y=0. he defined the coordinate system that way.

[@mridul2987]

MIT sure've got some finest teachers... No doubt

[@WiskundeTraining]

Excellent teacher👏👏

[@daedra40]

Thank you MiT, thank you Professor Wit Busza.

[@fxnoob7486]

Beautiful explanation

[@rolandgerard6064]

What a teacher!!! Amazing pedagogue.... Thank you sir..

[@azad4921]

Great explanation, thanks MIT

[@avilahoti4244]

Amazingly simple

[@isadoralavina-macleod8432]

∴ l =1 meter. Mind blown. Dr. Busza.

[@santoshpandey234]

What grade are you in?

[@fedophile]

When talking about the LC circuit, he says "now let me derive the EQUATION OF MOTION".. hmm very interesting.

[@loboalamo]

Love your blackboard set up too. Thank you.

[@AlexBrunner94]

Awesome. More of these, MIT. Please.

[@mulunehgetnet4827]

Thank you dear instructor for your clear explanation just I expect.

[@blacktoothgriner]

1:30 in to the video and wow... just awesome.

[@abhaysankarml8546]

I'm extremely thankful sir❤️❤️❤️

[@data7traveller]

loved it!!

[@dhananjaychavhan6192]

it was very easy to understand.........thanx a lot

[@trungac2414]

thanks you Professor Wit Busza

[@alimukhtar4759]

This is exactly what i was looking for😊

[@pratiksharma8969]

Prof. Busza is a nice Recruitment by MIT after Prof. Lewin

[@muavilatuc3951]

It's really us Vietnamese students who learned this when they were 17 years old!!!

[@curuy3090]

And it's me Turkish student who learned it when they are 16 years old...

[@mohsheenraza7376]

I'm indian ....you should try jee advance paper which is entrance exam for engineering

[@blancolexitimo]

Deducing the equation of simple harmonic motion is a kinematic problem that should not be posed from a dynamic point of view. In the Cinematic Universe there are neither masses nor forces.

[@Papayalexius]

pretty simple. But really good teacher.

[@أحمدعبدالسلام-ك5ذ]

Great professor and really fantastic lecture. helped alot thank you very much sir

[@physicsboy3108]

Great!!!! More power to MIT and You sir!!! ❤️

[@supriyaroy2738]

I just loved it. Very nice teaching.

[@tonyjose5456]

That was really useful. Thank you prof

[@feiyanglin6879]

Very helpful!! Thanks professor!

[@sanjayregmi4908]

watch it at 1.5 speed

[@abdullahfarag6358]

+Sanjaya Regmi how can i do that ????

[@sanjayregmi4908]

+Abdullah Farag just go the little settings thing and change speed to 1.5

[@abdullahfarag6358]

Sanjaya Regmi WOW It worked :) Thank you buddy

[@aapp776]

I watch all lectures at 1.5 speed because I feel it difficult to concentrate on the lecture when its going at normal speed.

[@legoffour8466]

I tend to prefer 2.2-2.8x speed, which is not a default option, so for Google Chrome such speeds can be obtained by opening the console (Ctrl+Shift+J) and entering the command: document.getElementsByTagName("video") [0].playbackRate = x Where x is the desired video playback rate (A rational number from 0 to 3). Enjoy :)

[@MolodkinVA]

Прекрасно произносит, великолепный методист! Как его звать?

[@KelliDiMera]

This video is wonderful. Thank you.

[@faisalreyaz1481]

KelliDiMera 👍

[@loboalamo]

I wish you were my instructor!

[@AdityaElectron]

Eureka... helped a lot

[@nurihijau2262]

Nice video...i really understand with its concept used...

[@RaficDalati]

At 50:40 I don't understand how he can write theta(t) = (something) sin(w_0*t). Isn't the angle equation theta(t) = Acos(w_0*t +pi/2 ) here? why did the sine function appear? Can someone please explain?

[@fedophile]

MrOmnos It's better to understand conceptually what is happening, rather than memorising high school notes, otherwise you can end up looking pretty stupid. cos(theta + pi/2) = -sin(theta) ..

[@Schrodinger8509]

Thanks MIT

[@ashishawasthi4350]

He is just awesome...

[@Amox625]

Thank u sir for such a nice explanation

[@Fr1sen0]

Thank you sir very much. Clarified a lot in my class.

[@SigitPriyanggoro]

W0 divide by W0 should be gone for the complete equation

[@heavenlyknighthood]

Hello, I have to say, you said at 8 minutes or so why you are going slow, then at 21 you jump straight in and skip several steps, great there. As for the explanation of what's happening I find English works perfectly, release the mass whilst the spring is under load and the mass will move back and forth, what more do we need to know. Sorry to say but a little disappointed.

[@sawansrivastava2838]

😍 lovely lecture..

[@KavinTeenakul]

Thanks my teacher don't know how to teach.

[@shreyastambat1813]

mathematics is the language of physics excellent dialouge like that of godfather movie

[@lubime10]

EXCELLENT !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

[@rolandgerard6064]

Great lesson, thank you

[@clo7473]

There are some small but very important mistake made on the board around @11:00 and onwards. At y(0) the mass-spring has already been stretched and is subject to upward acceleration starting from 0 velocity! So what is written on the board: y''=0 at y=0, y(0)=y_{initial}, and y'=0 is WRONG! The equation works out just because of algebra but the concept is false. Your ground reference is y=0 where y(t) is measured from. The initial position is y(0)=y_{initial} where velocity y'=0 and y''=a(0). And at equilibrium position is exactly when the mass travels at maximum velocity with zero acceleration, hence: y_0 = y_{equilibrium} where y''=0 and y'=y'_{max} I respect Prof. Busza and MIT and such but this mistake should be amended before open students get the wrong concept up in their head and think they understand because the algebra works out

[@netrapture]

@clo7473 Prof. Busza did not make a mistake. The mass-spring system is only already stretched if y(0) is negative, below the baseline, since the 0 of the y-coordinate system is chosen so there is no net force on the mass. What you said about "y''=0 at y=0, y(0)=y_{initial}, and y'=0" being wrong are in fact all correct namely y''=0 at y=0 is from the definition of the y-coordinate system, y(0) = y_initial is just notation and y'(0)=0 he chose as the initial condition.

[@hackeroo13]

I love this man

[@sampannap26]

is there an extra sin taken in the solution of theta.... 50:20

[@shristipandey3497]

Thank you so much sir

[@surendrakverma555]

Very good 🙏🙏🙏🙏

[@kantawichpiyanirun2128]

Thank you very much.

[@kedarkawade2482]

Very helpful

[@phibeslives4048]

Am I the only knuckle-head who noticed there's no "p" in "description" and patted himself on the back for being a genius?

[@gustavobagu7156]

Regarding the first problem: You seem to measure distances from the base line at (let us call it "the floor")... but then, how come Y=0 is where both forces balance each other out? To my mind, that location should have Y positive.

[@kevincardenas6629]

he didn't set y=0 at "the floor" he set it at the equilibrium point (a.k.a. when the forces cancel out) and so acceleration is zero at that point

[@sushantodas5948]

The magnetic field inside the inductor is variable implies that in the inductor there's an induced electric field,how come u have not included that in the line intergral

[@abhaypastor7494]

THIS IS A REALLY GOOD VIDEO ON THE HARMONIC MOTIONS BUT CAN U GUYS PLZ PLZ POST ANOTHER ON THIS TOPIC WHICH IS OF SOMEWHAT A BETTER LEVEL THAN THIS AND I M REALLY LOOKING FORWARD FOR SOME VERY GOOD PROBLEMS. PLZ PLZ

[@atharvat223]

in the first example till the object reaches equilibrium net force is in downward direction so even acceleration should be in downward direction thus making it negative so why is it shown positive

[@SSBRocks]

really knowledgeable

[@FujutsuTow]

Love you sir

[@Slayer14731]

iHeartPhysics :] and bloody awesome teacher!

[@nazishahmad1337]

Watch it at1.5×

[@maximusflash0997]

at 49:27 cant we write sin(omega0t + pi/2) as cos(omega0t)

[@noobkilla3]

it will be -cos(omega0t) coz sin(pi/2 + x) = -cos(x)

[@Lemonjamin]

I really needed this! thanks!

[@shinhessen3073]

Thank you sir.

[@MaazKhan-fn6gq]

Walter lewin is amazing

[@johntelesengmec]

Absolutely AWESOME! Thanks!

[@jorgevega7084]

Amazing!! Thank you

[@daedra40]

This is the bomb. Thanks for all of it.

[@bujiririemmanuel5091]

Awesome