Classical Mechanics | Lecture 1
ฝัง
- เผยแพร่เมื่อ 2 ก.ค. 2024
- (September 26, 2011) Leonard Susskind gives a brief introduction to the mathematics behind physics including the addition and multiplication of vectors as well as velocity and acceleration in terms of particles.
This course is the beginning of a six course sequence that explores the theoretical foundations of modern physics. Topics in the series include classical mechanics, quantum mechanics, theories of relativity, electromagnetism, cosmology, and black holes.
Stanford University
www.stanford.edu/
Stanford Continuing Studies
continuingstudies.stanford.edu/
Stanford University Channel on TH-cam:
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Notes about lecture:
conservation law
conserved quantaty
allowable laws of physics, allowable rules
25:40
non-allowable law (in classical physics)
can't retrodict the past (opposite of predict)
non reversable
if reversed, unpredictive (don't know this or that comes next)
29:20
predictive one way, not retrodivtive other way
not reversable, "I" don't call it irreversable
30:10
classical physics doesn't allow probability
conflicts with the rules of classical mechanics
quantum mechanics are not deterministic
ambiguity in knowledge of initial condition, so from this statistics in classical mechanics despite deterministic
33:30
how precise do you know the initial condition, this determins how far you can predict the future, example three day weather forcast
other way around, if you know how far you want to predict, then you can determine how exact you need to know the initial condition
35:50
allowable, if every state has one incoming and one outgoing arrow
next example: point particle(s) moving in space
37:30
first some preliminary mathematics
vectors, coordinate systems
coordinate system: describing space quantitatively
space with three dimensions/coordinates
but we are perfectly free to think of systems higher dimensioned or lower dimensioned
38:10
we are interested in describing the basic pricipals, so we don't have to restrict ourselves to specific examples
a particle can move in one dimension, it can move in five dimensions, but for now we use three dimensions
39:30
three coordinates, doesn't matter where we put the origin, but it's easiest to put it at the (? 0 location)
the three axis are mutually perpendicular
label e.g, x, y, z or x1,x2, x3
40:00
still ambiguity about the rotation of the axis, which direction they go in
fixing the origin, we also have to fix the orientation of the x,y,z axis
theres a convention, right handed coordinate system, if you pick x and y, still need to decide is z pointing in the blackboard or out of it, we settle at right hand, x thumb, y inex finger, then z middle finger points out of the board towards us
this is the right hand rule
another convention, for distance we choose units
41:50
point is labled by x,y,z, thats also how we describe a particle
43:10
what is a vector
has both length and direction, for example a position of a point, relative to it' origin, magnitude is the distance, and it has a direction
don't think of a vector of being located anywhere
43:55
vector is the same, no matter where it is drawn in space, doesn't need to be drawn in space
vector labled by bar on top, more precise a little arrow
it could e.g. be velocity, it could be acceleration, it could be an electronic field
it's got, length/magnitude, and it's gotndirection
47:55 (see formula) length equals square root the sum of squares of its components
adding vectors, multiplying vectors by numbers
53:30
VectA+VectB=VectC
VectA*VectB=AMagnit.*BMagnitude*cos(winkel feda) "the calculated dot product"
the product of two vectors is not a vector, it's a number
1:00:00
we can display the dot product in component form
VecA*VecB=Ax*Bx+Ay*By+Az*Bz, you can prove this with a little bit if trigonometry
VectA*VectA=AMagnt.*AMagnit.
1:08:40
The velocity is the time derivative of the position
Dot means derivative with respect to time (so this does not have to be writtenover and over again)
Velocity is x of i dot (x1, x2, x3 for the coordinates)
1:13:50
acceleration is derivative of velocity or second derivative of xi, so it's written x with 2 dots
X - position
V - velocity
a - acceleration
r-Vector for radius, positiin vector
1:16:00
Formula of an object falling in gravitational field with constant acceleration,
xt=a+bt+ct2
uniformly accelerated particle, that has acceleration 2c
1:18:00
Circular motion
x+y achsis, the angle increases linearly
feda=omega*t
2Pi/omega=period
omega is the angular frequency
X=cos(feda), y=sin(feda)
derivatives of trigonometric functions
velocityX=-omega*sin(omega)t
angle between velocity and position?
more on velocity, acceleration, calculated ways for this shown
U saved my life bro
Lol. It's "Theta" not "feda".
Susskind dinleyen türkler var duygulandım :D
holy ish dude i cant believe u took the time
Ayıp ettin
711,000 people viewed this and learned at least a little bit in a very short time. It was a free class taught by an extremely educated man. Imagine the world we would live in if we had this kind of access to every class
I remember watching videos like these before college, which definitely kindled a passion for physics and math deep inside me. Then I also started reading advanced books, which were not even part of the course syllabus, for example the famous series of books published by Lifshitz and Landau.
Among other things, I published the step-by-step solutions to many of the classical physics problems in the first book "Mechanics" in an online course on Udemy (called: "Multivariable Calculus and Classical Physics problems"), which deals with the mathematics and physics of rigid bodies, non-inertial systems, and much more. This is to say that videos like these can be very helpful in inspiring youngsters to appreciate physics.
The Udemy course you mentioned is not showing up. Is that still available ?
@@mpay2874 Oh I see, now it has a different name, it's called "Multivariable Calculus and Classical Physics problems", I decided to merge two courses into a single one, due to the strong connection between the two. So, yes, it is still available.
I'm in final year of my high-school and I'm slowly starting to love physics. Thinking about studying physics in undergraduate. So, spending my time watching these lectures.
I love this man. The way he explains things, the way he talks, the way he thinks, the way he moves, his wisdom. Having watched many of his lectures, I feel a deep friendship without ever having met him in person. Thank you so much, Lenny.
How are u doing now, 3 years later
@@YasoHisham They got married.
@@mtmind6560a beautiful relationship blossomed after such hard Dick riding
49:05 Yes professor, your lectures are like the music that one want to hear over and over again. ❤️
First 16 minutes is the most succinct and persuasive explanation for conservation of energy I’ve sat through. A lot of people tend to explain it through tautologies.
Extremely thanks for providing such quality content for free of cost and enabling it to be accessible from everywhere.
#LovefromIndia
Nandha Kumar yes this is one of the great things about our world today
❤️
Coin and dice configurations and laws of motion, conservation; infinite configuration space 22:00; non allowable laws, reversibility 26:00; vectors 37:30; particle position and motion and acceleration 1:05:30; 2 examples: motion on a line, circular motion 1:15:00;
Thanks Stanford. These lectures really get you interested into science and just the aspect of being in a university itself.
Native English speaker and I literally just learned the word 'retrodict' (opposite of predict) from Lenny. The perks of this class are boundless.
Not a native speaker and I learned die and retrodict too
hello brother
You are the definition of people who are awesome, Professor Leonard Susskind.
LONG LIVE Leonard Susskind.
We need you like how we need water to live.
100%
Thank you Leonard and Stanford for this. The extras and insights mean a lot. You could lean this stuff from a Dover reprint, but learning it on a trajectory towards Scrodinger and company really helps one focus on what counts. I have been able to make quantum work for a long time, but I find myself returning to the roots over and over again to regain a sense of what I'm actually doing. I think lecture series like this are invaluable for contributing towards a future in which a significant subset of us understand what the world we can make claims about actually us.
These lectures have changed my life! Watching this feels nostalgic!
I really like the book as a companion to these lectures. It gave me deeper insight in some physics concepts that I used to just "take for granted" otherwise. The exercises also help for that matter and I can't wait for a quantum mechanics sequel and the rest of the series.
One of the World's leading Physicists and Teachers, showing how to teach Science
Thank you stanford university for making this free to everyone, i decided to study physics however had (in germany) to decide between chemistry and physics as a school subject, i chose chemistry inorder to at least have some fundamental knowledge about it. Now i figured out that german university have their lectures uploaded however only on private servers which are unacessable to anyone whos not in their university.
Thanks for giving me the chance to learn the basics to prepare for university
He is always extraordinary..he always find the simplest version of explaination!!if anyone don't understand him,he never understand physics.
Finally I found someone who is going to teach me the concepts in math I need to understand my big love, astrophysics, a little better. That it's such a famous physicist, the better.
I'm somewhat proud I still remember and understand most of what he talked about in this lecture although I graduated from high school 38 years ago although I never really needed this since then.
listen to startalk if you love astrophysics!
ozdergecko the Closer to Truth channel has a lot of good conversations about cosmology and astronomy stuff.
@@tomstalley3179 can you comment the link of the channel? or is he a person?
Puspita Das just search ‘startalk’ kn TH-cam, it’s Neil degrasse Tyson’s channel
I've never seen a video on classical mechanics that quite starts like this, informative
For those, who are starting this course..... It's very slow and a bit dull, But it's THE best. He won't show you experiments and stuff , but all your common questions and misunderstanding will be addressed in this course. Really it's the best.
46:00 When a world-leading theoretical physicist struggles to draw a vector in three dimensions, there's hope for us all.
it's normal. My grandfather Ph.D in his 80 can't even draw a 2d vector lol
JLongTom Lenny in perfectly imperfect!
Даниель Крузе (But u didnt say what area your grandfather specialised in, lol.
not in art ^
JLongTom haha
Indeed your lectures are amazing everytime we hear them.
Wow. That cleared up a lot for me. I'm looking forward to the next lecture.
Last 15 minutes, describing of circular motion, was awesome! Everything become clear!
53:30 That little slip from his Quantum Mechanics lectures
Christopher Soelistyo I know this is a super old comment but HAHA I saw that.
49:09
Such a good analogy. And yes, Prof. Susskind, your lectures are like good music. Bravo maestro and thank you.
This was hilarious
Professor Susskind, thank you for these videos. Theoretical Minimum Classes suit me to a tee. I really like them.
Highly insightful lectures I ever came across, thank you sir for your work
jesus this is incredible
it's like watching the hulk trying teach someone how to lift a 10lb dumbell
Super N0iS3 😂 lol bro
@Andrew Walter III Kaamo 'D La Simmetrie what the fuck
@@ForeverStill_Fan1 and physics.
@@Joepage69 Don't use phone then. Be a Priest.
Without Physics you are still trieng to use Pigeons as mail man.
@@sadunfdo2888 physics is very much the unknown that was my point it changes all the time
I clicked classical mechanics and I'm watching graph theory. This is gonna be good!
This is amazing. Big Thanks to Stanford and to L. Susskind.
Leonardo,your lectures ARE music to our ears
Just 10 minutes in, I already have a feeling I'd learn more once I finish watching this vid than 10 hours in class...
Once again im glad to find a lecture from stanford to help me learn more
oh its unbelievable... Thank you so much to Standford and this gentle man
This is fantastic, thanks to Stanford and professor Susskind :)
Mike from Breaking Bad
Now , I can't unsee😂
Put your pencil away Walt. I’m not having a lecture with you.
@@IAyala1010💀💀☠️
No half measures walter
The book is called The theoretical minimum. Authors Susskind and Hrabovsky. The latter added some extra mathematics parts where needed. Electromagnetism is discussed, Hamiltonians, Poisson brackets etc.
These videos are absolutely fantastic. Leonard Susskind is amazing!
This is invaluable, i love learning tho I cant afford to go to a big university
In
r u alive now
Bad for you to not be french
You can apply for financial aid
@@jolanmoussier9267 what?
I would like to thank the professor for his nice and interesting lecture he did!!!!!!!!!!!!
This guy teaches classical mechanics in one class and can teach string theory in the other, hat's off to you
Loved the lecture so much.
1:23:33 Actually, the dot product being zero isn't enough information to draw the velocity vector. The sign of vx tells you what direction the perpendicular vector is pointing in.
53:25
HAHAAHA best thing to write in classical mechanics.
it always music to my ears , thank you very much
So In Love With Leonard Suskind.
What a great lecture & what a great lecturer.Thx.
A wondrous lecture in classical mechanics
I had lost my way and my love of physics due to depression. Decided to take a break from my astrophysics studies for a year. I think I will spend the year going through his lectures just to see if I can fall in love with physics again.
if u dont love physics, u literally dont want to understand reality, and that's like death
at 19:03, the laws of evolution for die world are categorized by number and TYPE of cycles, e.g. there might be three cycles: one 1-cycle, one two-cycle and one 3-cycle, like his example but there could also be three 2-cycles, so it is more than just the number of cycles - as he hinted.
Could please activate in the video the option of automatic subtitles, that depends on the administrator, if they do not activate the other people does not get that option.
Podrían por favor activar en el vídeo la opción de subtitulos automáticos, eso depende del administrador, si no lo activan a las otras personas no le sale esa opción.
Confused? Sloppy? Look at his lecture on 'Demystifying the Higgs Boson' - Of all the lectures this was the clearest overview of all of the great rash of such lectures that came out this year. I find the lectures leave me just enough to think about and sort out myself. I am a big fan.
Put it at 1.25 speed. Saved my life.
+Klanos 2x and 1.5x for me, but I had to go back to the stuff on dot product and proving the law of cosines cause I was playing Factorio and not paying attention. I love the speed feature of TH-cam. I feel like I have been robbed of some of my life because I didn't discover it sooner xD
+Klanos You, my friend are a fucking genius and I would forever be in your debt!
thank god i went down here before i saw the vid
Thank you so much!(:
Great suggestion. Thanks.
Time in nature might not actually be the abstract of perceiving it as going back or forward to actual events but instead are actually the observable chronological movements of objects that are speeding up or slowing down "DEPENDING" on the level(amount) of gravity and perhaps G-force that's constricting or not constricting the atoms that gives the "OBSERVABLE CHRONOLOGICAL MOVEMENT" we all see around us
My brain lasted for 55 minutes. Started to watch bits again more to try and understand. Great lecture.
The point of using modulo arithmetic is that you don't even need to assign value 6 on the dice to 0, because 0, 6, 12, etc. are considered the "same" element (they belong to same equivalency class).
thank you so much..... I learned many new things about vector's,before which I didn't get even after watching many other videos.....you are awesome...... :)
According to this source, dice was once the plural of die, “but in modern standard English dice is both the singular and the plural: 'throw the dice' could mean a reference to either one or more than one dice.”
I agree, Lewins is a great teacher as well, he's awesome.
53:25
That's what happens when you do Quantum mechanics alot
This made me laugh 😂
hahah!
Hey do u know what the general eqn was for the six-sided die? I cant figure it out
Ah my god
Which is easier, classical mechanics or quantum mechanics? I am only just today starting to study classical mechanics.
I am very much interested in mass, acceleration, force, distance and energy. I like this video. He explains in very simple manner.
This is the thing with top Institutions... They teach you 'how to think' rather than what to think.
Yes, but perhaps the world is full of people who do not have the same grasp or perspective. Plus, one can never over emphasize the basics. This is what separates great teachers from ordinary ones. I find that a lot of the students brush through the basics and find later that they do not have a deep understanding. The concepts of state/phase space are actually not as simple and are so critical in understanding a lot of the world, it is worth spending some time on.
He is a great teacher!
Wonderful Lecture, thanks for the laws of motion lecture.
this is such awesome content, thank you so so much !
Well I am a high school student and I am glad that some great universities give a way knowledge for free. I love Walter Lewins Videos he is a great lecturer but they are limited to classical mechanic and electromagnetism. nothing complicated just freshmen's physics.
Susskind: *show a group of people how to draw a simple 2-dimensional graph*
Also Susskind: *Assumes that the same group of people can differentiate trigonometric functions*
@@hiruki8 u didn't get the joke lol. Susskind tries to explain simple stuff and skips over relatively advanced stuff ( students know both) but just the way he is going on
@@sirius3333 I think she just explained it further
Best teaching ever.
Regulate surface temp to know/control weather patterns.
carrying on from lower post ,if a speed is constant then i'm intuitively confident that the G-force will remain and acceleration would "NOT" be a factor "IF THERE ARE NO OUTSIDE FORCES LIKE ATMOSPHERIC FRICTION"-An example would be the vacuum of space that would not require acceleration to continue the G-force effect once the optimum speed has been obtained- -So provided the atomic clock that slowed in the plane had continued motion(IN atmosphere that creates friction acceleration would be needed for constant speed "BUT" in vacuum of space "ACCELERATION WOULD "NOT" be needed for continued "PALPABLE/OBSERVABLE" G-force effect once the optimum speed is obtained) the atomic clock's movement of atoms "MIGHT ACTUALLY" be constricted by a miniscule G-force effect , thus slowing down the chronological movement of hands or digital face-Even light is affected by Gravity (as in gravity lensing) and i should imagine it's restriction would include anything observable by us-In the "MOVING" airplane cabin air and other unseen things may be the "OTHER" key factors interacting with motion to create the miniscule G-force effect that restricts the movement of atoms in atomic clock that creates the slowing down of it's actions as a clock-THIS might be the reason for time slowing down when movement is applied "OR" extreme gravity is applied and not the classical idea of the ability to go forward or back in time to see past or future events-THE black holes theoretically churning out constantly huge numbers of these gravity repeling particles and any matter with gravity to cause the expansion of the universe- "raw" Quantum particles which are in unusually small size repelling gravity and any matter with gravity(unlike the ones on earth )
1:06:15 : the r doesn't stand for radius. The official explanation is that the position of a single point in space can be defined by three different rotations defined in a rotational matrix. So the r stands for rotation
Thanks for the download option. Pleas provide a link to playlist, eg. Classical Mechanics | Lecture 1
You speak a tune with your voice so yes you make notes and numbers sounding like a song 🥰
Searching Amazon for dental pliers to pull my molars. Thought I grasped the concepts from Dr. Lewin. Going on to a different concept of grasp.
Top notch lecturer♥️
didn't know mike ermanthraut had the best classical mechanics lecture series on youtube
I am loving this
I think what he means is that some systems are different from others. Like you know, Euclidean geometry is different from Riemannian sphere geometry because it plays by different rules. So for example, the system of the coin (and only the coin), according to him, has only 1 rule. Nothing ever changes. However, in the system of the universe, we have many different rules, and that not everything stays the same.
Awesome lecture!
Imagine explaining physics in a simplified way thanks alot
Will he talk about the Hamiltonian mechanics and Legendre transformation later in this course? I am looking for physics underlying Symplectic and Poisson Geometry would appreciate it if you introduce some materials to me.
my like was the 7,000th. feeling very special.. lol
Stanford, thanks for sharing these priceless knowlege with the world..
"Thinkwell". It's online lectures with a fantastic instructor. Not sure how much it is since my university uses it as a supplement to the class, but it is probably worth every penny. It has made calculus my easiest class. You'll be knocking derivatives out of the park in no time. Just google Thinkwell calculus.
I have a question: Are there exercises (and solutions) that was made for this lecture? I really like Susskind's lectures but I think one can only learn, if you do exercises. So I'd really like to get access to exercises that fits to this lecture. If anybody can give me some hints, where to find such exercises, I'd be very grateful. :)
Excellent lecturer
thanks for sharing Stanford
It doesn’t get the more simply explained than this.
Loved the way he forgot and put ket bracket instead of modulus at 50:00
He really does follow/ match his book series, the fundamental minimum.
He look like mike from breaking bad
exactly what i thought :D
AyoJeffy He IS Mike from Breaking Bad
nah he looks like mike from better call saul
Admit
Was thinking this watching season 5 of community today .. Sounds like him anyways
"Mechanics is basically a set of rules about what those laws of motion look like" ❤️
Good lecture. Helped me a lot. Just need to brush up on my calculus for derivatives of trigonometric functions.
Sam Smith if you know calculus and linear algebra the world of physics is more open to you
The Physics Connection Differential equations and other advanced math such as complex analysis and topology make physics easier to understand.
No tiene fuersas
No tiene fuersas el motor
Ke puedo ser pera mi troka
He is brilliant.
Very well explained ❤️❤️🙏
Thanks for your work : )
Lloyd Smith you have the Coolest channel ever !!
1st of all. Thank you You are one of the greatest teachers I've ever come across. You love this Sh*t and it shows. I have one question. Do you mind showing me the equation of the simple rotating dice example. The one where 1 goes to 2 which goes to 3, etc... I apologize I am but a lowely plumber and electrician. I have been extremely interested in general relativity and quantum physics for over 30 years but the equations are over my head. Thank you
Thank You, Sir
[Paraphrased] "There are some things you only want to experience once, like a book. You don't want to read the same thing over and over again. But there are other things, like music, that you'll want to listen to continually because it just feels good. I hope my lectures are like that... (paraphrased)." Why yes, Professor Susskind, your lectures are a treasure to listen to. Stanford for the win. :)
YES THANK YOU STANDFORD! Learning!