Model + Simulate Spring Mass in Python

Learn how to model and simulate a spring mass system. Create and animate plots of x, x_dot, and create a phase diagram.

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========= Video Chapters =========
0:00 - Intro
0:10 - Model System by Hand
1:16 - Model System w/ Python
2:00 - Simulation
2:44 - Time Domain Plot
3:13 - Phase Diagram
3:44 - Model System with Friction
4:11 - Update Simulation
4:47 - What's Next!
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[ramos_]

As someone looking into studying Computational Science and Engineering, this is some incredible stuff, thank you

[zarm]

Way to underrated... INSANELY underrated... Keep going 👍👍

[javiergaliani]

That super cool! Your work is so great, thanks and please keep updating it

[draupathumesh]

Hi logan...pls tell how did you made that motion picture of oscillating spring mass system

[ThrowTop]

inconsistent mic volume but interesting videp. GJ

[timreed]

Awesome video! How are you outputting the latex?

[olsea]

Another question is why on the diagram of speed versus time the speed does not tend to zero, it remains somewhere around 0.5?

[fillahalamsyah]

Did you using manim to animate mass pendulum at intro?

[romanrolla]

Ey! I have a question, It’s the energy of the system constant? I mean, silly question, but when I plot E = T + V, it’s not constant...

[gaz_]

I was wondering if you can change the setup to a horizontal one therefore getting rid of potentiel energy Vm and only leaving the elastic potentiel energy of the spring
and starting the simulation after an initial displacement of the mass m

[talhaabid]

The code you provide on your GitHub, is not working on my VS code.... So kindly tell me that which libraries or modules I have to install in VS code like minam, ffmpeg etc....

[mohamedeljahmi]

Why is positive x towards the ground and negative x towards the ceiling?

[olsea]

How to increase the oscillation time so that the pendulum swings to a complete stop?

[jhanolaer]

how can we apply gas pressure in spring mass?

[giacomobracci]

You cannot call this a simulation, this is only a visual representation of the solution of a problem analitically solved...

[BenjaminAster]

I really don't like Python and would prefer e.g. JavaScript/TypeScript, but the video quality is excellent nonetheless!

[__hannibaal__]

In complex system of more freedom coordinate Python is useless, C/ and C++ is better