1. Simple Harmonic Motion & Problem Solving Introduction

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Күн бұрын

View the complete OCW resource: ocw.mit.edu/resources/res-8-00...
Instructor: Wit Busza
We discuss the role problem solving plays in the scientific method. Then we focus on problems of simple harmonic motion - harmonic oscillators with one degree of freedom in which damping (frictional or drag) forces can be ignored.
NOTE: These videos were originally produced as part of a physics course that is no longer available on OCW.
Chapters
0:00:00 Title slate
0:00:27 Why learn about waves and vibrations?
0:01:31 What is the Scientific Method?
0:03:19 Ideal spring example
0:10:27 Oscillations of a bird after landing on a branch (example of a more qualitative understanding of a physical phenomenon).
0:12:53 The LC circuit (charge and current oscillations in an electrical circuit).
0:24:17 Motion of a mass hanging from a spring (a simple example of the scientific method in action).
0:25:07 Oscillation of a hanging ruler pivoted at one end (example of SHM of a rigid body-problem involves the understanding of angular motion, torques and moment of inertia).
License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
More courses at ocw.mit.edu

Пікірлер: 221

@KostantisX 10 жыл бұрын

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 4 жыл бұрын

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 4 жыл бұрын

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 10 жыл бұрын

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 4 жыл бұрын

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

@BoZhaoengineering 5 жыл бұрын

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.

@RafaelHenrique-jz2vw 6 жыл бұрын

We need more teachers like you!! Congratulations

@sarvesh0303 10 жыл бұрын

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

@seoulatheart2015 10 жыл бұрын

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.

@supern0is349 3 жыл бұрын

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.

@nishantsinghsogarwaloffici7025 3 жыл бұрын

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

@jeewallanibba5639 3 жыл бұрын

❤️❤️

@srinidhishetty679 3 жыл бұрын

❤️🙏🏻🙏🏻

@nirmameghwanshi88 3 жыл бұрын

👍👍🙏🙏

@Axelonmorales 5 жыл бұрын

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

@mecheasy4024 5 жыл бұрын

Yes really amazing lecture.

@markptak5269 10 жыл бұрын

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

@DeepakAtreja 9 жыл бұрын

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

@jayceeappi8592 10 жыл бұрын

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

@Akshaygupta13 4 жыл бұрын

In love with the board work and the lecture ♥️

@sirikamons 10 жыл бұрын

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

@data7traveller 8 жыл бұрын

loved it!!

@mulunehgetnet4827 8 жыл бұрын

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

@unclefreddy2009 10 жыл бұрын

If only my college Physics professors were as clear. Fantastic

@FingerThatO 8 жыл бұрын

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

@mdmobashshir432 8 жыл бұрын

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

@beniwaljaat2312 6 жыл бұрын

Every professor has something special noone is worst

@nazishahmad1337 5 жыл бұрын

@@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 3 жыл бұрын

@@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.

@jesusalexispachecomonagas8664 4 жыл бұрын

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

@snigdhadobhal9679 9 жыл бұрын

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

@bibh947 2 жыл бұрын

Thank You Sir Wit. Your teaching is really witty .

@oWhiteMonster 10 жыл бұрын

Eyyy this professor has good hand writing, wow

@fuji_films 2 жыл бұрын

Hi. Are you alive? 😀

@muhittinselcukgoksu1327 2 жыл бұрын

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

@oWhiteMonster 2 жыл бұрын

@@fuji_films yes

@loboalamo 10 жыл бұрын

Love your blackboard set up too. Thank you.

@pranavnair5317 5 жыл бұрын

outstandingly exceptional impedance showcased by you sir hats off to you

@Waranle 10 жыл бұрын

Thank you MIT, Prof Wit Busza

@supriyaroy2738 4 жыл бұрын

I just loved it. Very nice teaching.

@feiyanglin6879 9 жыл бұрын

Very helpful!! Thanks professor!

@user-ue2gr7bv1m 5 жыл бұрын

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

@rolandgerard6064 10 жыл бұрын

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

@johntelesengmec 10 жыл бұрын

Absolutely AWESOME! Thanks!

@daedra40 10 жыл бұрын

Thank you MiT, thank you Professor Wit Busza.

@AlexBrunner94 10 жыл бұрын

Awesome. More of these, MIT. Please.

@KelliDiMera 9 жыл бұрын

This video is wonderful. Thank you.

@faisalreyaz1481 6 жыл бұрын

KelliDiMera 👍

@physicsboy3108 3 жыл бұрын

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

@azad4921 3 жыл бұрын

Great explanation, thanks MIT

@tonyjose5456 9 жыл бұрын

That was really useful. Thank you prof

@Amox625 7 жыл бұрын

Thank u sir for such a nice explanation

@fxnoob7486 3 жыл бұрын

Beautiful explanation

@Lemonjamin 10 жыл бұрын

I really needed this! thanks!

@trungac2414 6 жыл бұрын

thanks you Professor Wit Busza

@dhananjaychavhan6192 9 жыл бұрын

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

@rolandgerard6064 10 жыл бұрын

Great lesson, thank you

@WiskundeTraining 3 жыл бұрын

Excellent teacher👏👏

@daedra40 10 жыл бұрын

This is the bomb. Thanks for all of it.

@abhaysankarml8546 3 жыл бұрын

I'm extremely thankful sir❤️❤️❤️

@jorgevega7084 7 жыл бұрын

Amazing!! Thank you

@nurihijau2262 10 жыл бұрын

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

@andrewjames6676 10 жыл бұрын

A model of clarity. A model teacher.

@alimukhtar4759 5 ай бұрын

This is exactly what i was looking for😊

@VivianaVillanuevaPicolini 9 жыл бұрын

Thank you!

@kantawichpiyanirun2128 6 жыл бұрын

Thank you very much.

@sawansrivastava2838 4 жыл бұрын

😍 lovely lecture..

@AdityaElectron 5 жыл бұрын

Eureka... helped a lot

@thebizzle2605 10 жыл бұрын

Awesome! !!

@hackeroo13 5 жыл бұрын

I love this man

@ashishawasthi4350 6 жыл бұрын

He is just awesome...

@Papayalexius 10 жыл бұрын

pretty simple. But really good teacher.

@isadoralavina-macleod8432 9 жыл бұрын

∴ l =1 meter. Mind blown. Dr. Busza.

@santoshpandey234 5 жыл бұрын

What grade are you in?

@fernandonora1464 10 жыл бұрын

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.

@GauravSingh-yv2sp 6 жыл бұрын

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

@touficfakhreddine6017 6 жыл бұрын

for small angles, sin theta is theta

@shinhessen3073 10 жыл бұрын

Thank you sir.

@avilahoti4244 2 жыл бұрын

Amazingly simple

@blacktoothgriner 2 жыл бұрын

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

@kedarkawade2482 5 жыл бұрын

Very helpful

@shristipandey3497 4 жыл бұрын

Thank you so much sir

@samuelhampongo7278 6 жыл бұрын

Thanks soooo much

@lubime10 7 жыл бұрын

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

@msunardi 5 жыл бұрын

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 4 жыл бұрын

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.

@mikkikiki3700 7 жыл бұрын

thanks ..sir

@sampannap26 9 жыл бұрын

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

@surendrakverma555 2 жыл бұрын

Very good 🙏🙏🙏🙏

@RaficDalati 10 жыл бұрын

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 10 жыл бұрын

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 3 жыл бұрын

Thanks MIT

@atharvat223 6 жыл бұрын

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

@jardimmanuel 10 жыл бұрын

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

@pablopelaez721 10 жыл бұрын

@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 10 жыл бұрын

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

@TKTBC777 9 жыл бұрын

Thank you so much

@Shumayal 8 жыл бұрын

+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 2 жыл бұрын

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

@user-xs2og4fy9d 8 ай бұрын

Love you sir

@bujiririemmanuel5091 2 жыл бұрын

Awesome

@fedophile 10 жыл бұрын

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

@luqkiiim 4 жыл бұрын

how did he get the equation at 50:02 someone pls help :(

@loboalamo 10 жыл бұрын

I wish you were my instructor!

@maximusflash0997 5 жыл бұрын

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

@noobkilla3 5 жыл бұрын

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

@funkysagancat3295 5 жыл бұрын

Does anyone know some weird SHM aplications? I' m looking something beyond pendulums, strings, bridges, eardrums, water tubes etc...

@arunnegi93 4 жыл бұрын

Any mechanical system when disturbed from stable equilibrium undergoes SHM. Waves and osciilations/vibration (in my view) has importance because of applications rather then being a subject by itself.....

@mridul2987 4 жыл бұрын

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

@KavinTeenakul 8 жыл бұрын

Shouldn't -w0*(ang vel/w0) = ang vel ? Shouldn't w0 be cancel out? Why w0 remain? At 49:55

@RbtV92 10 жыл бұрын

Is this going to be on edX after class.mech next spring???

@sushantodas5948 5 жыл бұрын

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

@Fr1sen0 9 жыл бұрын

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

@Yu.mobile 3 жыл бұрын

is equilibrium tha pivot point ?

@jshaku7905 6 жыл бұрын

Thanks for......

@robinsingh905 9 жыл бұрын

in many books it is written that y= A sin(wt + fi) but sir say that it is cos.which one is correct?

@abhishekcherath2323 6 жыл бұрын

both, doesn't matter.

@lordmurphy4344 6 жыл бұрын

Its cos if it starts from extreme point, where in it start from the amplitude. The value of the sum of wt and phi hence would be zero, if the distance from the mean position is the amplitude, or conversely it could be sin of wt + phi which would yield pi/2 to obtain the same value as the amplitude.

@gustavobagu7156 4 жыл бұрын

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 4 жыл бұрын

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

@gustavobagu7156 4 жыл бұрын

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 Жыл бұрын

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

@diegorodrigues8287 10 жыл бұрын

Second from Brasil!

@mohammadraees9770 8 жыл бұрын

awseome

@pratiksharma8969 6 жыл бұрын

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

@MolodkinVA 10 жыл бұрын

Прекрасно произносит, великолепный методист! Как его звать?

@Slayer14731 10 жыл бұрын

iHeartPhysics :] and bloody awesome teacher!

@shylildude 10 жыл бұрын

what happened in 49:29? how did he solve for theta(t)?

@abhijitsingh734 4 жыл бұрын

He use some trigonometry......very late reply😅😅

@nina27707 8 жыл бұрын

Which book would you recommend for learning the subject?

@mitocw 8 жыл бұрын

+Athanasia The following textbooks were used when this course was taught on the MIT campus: French, A. P. Vibrations and Waves. The M.I.T. Introductory Physics Series. Cambridge, MA: Massachusetts Institute of Technology, 1971. ISBN-10: 0393099369; ISBN-13: 9780393099362 (www.amazon.com/exec/obidos/ASIN/0393099369/ref=nosim/mitopencourse-20) Bekefi, George, and Alan H. Barrett. Electromagnetic Vibrations, Waves, and Radiation. Cambridge, MA: MIT Press, 1977. ISBN: 9780262520478. (www.amazon.com/exec/obidos/ASIN/0262520478/ref=nosim/mitopencourse-20)

@nina27707 8 жыл бұрын

***** thank you very much