Waffles And Harmonic Motion [Part 1]

In this two part series, we dig into understanding and quantifying simple harmonic motion (SHM). We try to figure our why oscillating systems that move the way they do, and what ideas from physics govern this motion.

@stephencwelch

[lucccar]

Your videos are great, 3B1B, Mathloger and your channel are the best of math/science.

[btc-joe]

I'm nerd/man-crushing on this guy... amazing, engaging teacher and he uses Python FTW!

[phos]

Always liked your videos, with good amount of maths and code! More in-depth than many 'introductory' things which is good.

[ErfanNoury]

Hello,
Thank you for your great videos. They are excellent and your narratives are great.

I think there is a problem in written equations at 3:20.
You have written "v = \Delta a / \Delta t" where as it should be "a = \Delta v / \Delta t", and also you've written "x = \Delta v / \Delta t" where as it should be "v = \Delta x / \Delta t".

[gevrapatapich]

on Python 3.5
>>> from IPython.html.widgets import interact
The `IPython.html` package has been deprecated. You should import from `notebook` instead. `IPython.html.widgets` has moved to `ipywidgets`.

so at 5:48 you should rather run
>>> from ipywidgets import interact

[RonWolfHowl]

3:19 That’s wrong. If it were true, then *position* would describe how fast *speed* was changing, and *speed* would describe how fast *acceleration* was changing. It should be _v = ∆x/∆t_ and _a = ∆v/∆t_. And even those only describe the _average_ velocity and acceleration, respectively; unless position and velocity are changing at a constant rate, they fail to describe the complete differential behavior of those quantities.

[iustinianconstantinescu]

Or, shorter, any function f that is its second derivative* -1 can be written like f(x)=a*sin(x+phi), where a and phi are the amplitude and phase.

[francesco]

That's great! I always wanted to understand things at a fundamental level and from many perspectives, and these videos help a lot. Good job :)
Will you do something about the true meaning of gyroscopic precession in the future?

[ohaRega]

May I ask what Python libraries were used to visualize the data?

[methodiconion]

What IDE do you use? It looks Perfect for doing mathy things, which is all i ever use python for anyway.

[pabilbadoespecial]

Cool videos may I kow which program you have used to write the code?

[vincentv.]

Didn't you miss the value x=0, 9801 for the third position in the table?^^
Great video, thank you!:-)

[darwinkim]

It's a circle because e^ix = cos x + i sin x

[nico]

Is it me or x = v/t is wrong. Since they removed annotation I can't tell if u already fixed this...

[sjgabhane]

How do I learn python so I can use it like you do?

[RonWolfHowl]

Plotting acceleration with respect to velocity would have also resulted in a circle, albeit one that’s drawn starting from a different angle.

But I think I know why this is. Each value is just the derivative of another with respect to time, but they have a circular tendency due to the inverse relationship between position and acceleration. …yeah, I got nothin’.

[avanishpadmakar]

you read feynman lectures throughly it even has the exact same readings