1. Simple Harmonic Motion & Problem Solving Introduction
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- Опубликовано: 5 авг 2024
- 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
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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!!!
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"*
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...
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
@Jean thanks for the reference! This brushed up my calculus so much
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.
Wow, his presentation on the blackboard is so clear and precise! Somehow, it increments my interest in this lecture
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.
We need more teachers like you!!
Congratulations
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.
Playlist: ruclips.net/p/PLUl4u3cNGP62JTiv0epD_FMmUV6Y7wMv_
Thank you so much for this wonderful lecture
Love from Bharatpur Rajasthan India 🙏🏻🙏🏻🙏🏻🙏🏻❤️
❤️❤️
❤️🙏🏻🙏🏻
👍👍🙏🙏
A new rock star is born. Thank you SOOO much for my kids generation!
You have seriously advanced my understanding of mathematics from this lecture. Thank you so much.
Thank you for sharing. It's very easy to understand. It's very best lecture that I've ever seen.
In love with the board work and the lecture ♥️
I am in eleventh standard and this video helped me a lot.
Thanks
Greetings from Venezuela. The professor explain very well the topic, I understood almost Simple Harmonic motion.
Thank you MIT this is an amazing lecture :D And an incredible professor
Yes really amazing lecture.
Thank you dear instructor for your clear explanation just I expect.
If only my college Physics professors were as clear. Fantastic
Thank You Sir Wit. Your teaching is really witty .
loved it!!
This video is really helpful indeed, specially for understanding the mathematical aspect of physics
outstandingly exceptional impedance showcased by you sir hats off to you
Love your blackboard set up too. Thank you.
THANK YOU MIT. my physics professor is the worst and this explained alot
+Misael Cifuentes lol every physics teacher seems the worst after a MIT lecture.
Every professor has something special noone is worst
@@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
@@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.
Eyyy this professor has good hand writing, wow
Hi. Are you alive? 😀
Good Blackboard, Good Explanation... Thank you soooooo much Sir..
@@fuji_films yes
Great professor and really fantastic lecture. helped alot thank you very much sir
I just loved it. Very nice teaching.
What a teacher!!! Amazing pedagogue.... Thank you sir..
Thank you MiT, thank you Professor Wit Busza.
Beautiful explanation
Thank you MIT, Prof Wit Busza
Great explanation, thanks MIT
Awesome. More of these, MIT. Please.
Very helpful!! Thanks professor!
thanks you Professor Wit Busza
That was really useful. Thank you prof
Excellent teacher👏👏
Great!!!! More power to MIT and You sir!!! ❤️
Thank u sir for such a nice explanation
This video is wonderful. Thank you.
KelliDiMera 👍
Absolutely AWESOME!
Thanks!
A model of clarity. A model teacher.
I really needed this! thanks!
it was very easy to understand.........thanx a lot
Great lesson, thank you
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.
Fernando Nora it's because the value of sin theta is almost equal to theta(very small)
for small angles, sin theta is theta
I'm extremely thankful sir❤️❤️❤️
This is the bomb. Thanks for all of it.
This is exactly what i was looking for😊
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
Nice video...i really understand with its concept used...
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
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.
Amazing!! Thank you
😍 lovely lecture..
Thank you very much.
pretty simple. But really good teacher.
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?
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) ..
Do you really need to get older to be so clear in such an explanation? Great lecture professor all The best for you.
Amazingly simple
is there an extra sin taken in the solution of theta.... 50:20
Eureka... helped a lot
∴ l =1 meter. Mind blown. Dr. Busza.
What grade are you in?
Thank you!
1:30 in to the video and wow... just awesome.
He is just awesome...
@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
So what about the minus sign? So as you explain it, it results in: (Ang. vel.)/w0=-A and not just A.
Thank you so much
+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?
@@Shumayal because (-angV/w0) x cos(w0 + pi/2) = (-angV/w0) x -sin(w0) @Imran Akram
Thank you so much sir
Thanks MIT
I love this man
Very helpful
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
EXCELLENT !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Awesome! !!
Thank you sir.
Shouldn't -w0*(ang vel/w0) = ang vel ? Shouldn't w0 be cancel out? Why w0 remain? At 49:55
how did he get the equation at 50:02 someone pls help :(
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
the basement line is Y=0. he defined the coordinate system that way.
Very good 🙏🙏🙏🙏
When talking about the LC circuit, he says "now let me derive the EQUATION OF MOTION".. hmm very interesting.
Does anyone know some weird SHM aplications? I' m looking something beyond pendulums, strings, bridges, eardrums, water tubes etc...
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.....
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.
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
Thanks soooo much
Love you sir
thanks ..sir
Awesome
MIT sure've got some finest teachers... No doubt
Thank you sir very much. Clarified a lot in my class.
at 49:27
cant we write
sin(omega0t + pi/2)
as
cos(omega0t)
it will be -cos(omega0t)
coz sin(pi/2 + x) = -cos(x)
I wish you were my instructor!
is equilibrium tha pivot point ?
Is this going to be on edX after class.mech next spring???
Well our indian teachers are on a whole new level of mastery of their subjects. But sir u are awesome too ☺😊
in many books it is written that y= A sin(wt + fi)
but sir say that it is cos.which one is correct?
both, doesn't matter.
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.
If the electric field inside the wire is zero how come there is a current..
AND PLZ SOME TREMENDOUS MATHS PROBLEMS I DIDNOT WANT SOLUTION JUST PROBLEMS PLZ
THE TOPICS CAN BE COMBINATRONICS,ALGEBRA OR GEOMETRY PLZ
Прекрасно произносит, великолепный методист! Как его звать?
Prof. Busza is a nice Recruitment by MIT after Prof. Lewin
I didn't get why did you divide the angular velocity by omega zero :(
iHeartPhysics :] and bloody awesome teacher!