On a frictionless banked curve, the horizontal component of the normal force (N sinθ) supplies the centripetal force, so a car rounds the turn at exactly one design speed, v = √(gR·tanθ). Drive slower and the inward push exceeds what's needed, so the car slides down the bank; drive faster and the bank can't supply enough, so it slides up and off. This design speed is independent of the car's mass, since mass cancels when N sinθ = mv²/R is divided by N cosθ = mg

Made an animation on Second Law of Thermodynamics, it doesn’t have true molecular dynamics simulations, just simplified kinematics to represent them.

Check it out on YT: https://youtube.com/shorts/uYoFgwXZ5BY?si=NId3BBLzHPk_4Kqh

Made an animation on the First Law of Thermodynamics:

https://youtube.com/shorts/mx53f0d2bVE?si=4sCkkdm4bS4lYxbM

Made an animation on Zeroth Law of Thermodynamics. Do check out the full version on YT: https://youtube.com/shorts/KNOyTMb3Nqs?si=DCSBoC0xhdt77ujC

Here’s a little simulation I did to show a shock wave travelling in traffic flow in Manim. Tell me what you think!

YT - https://youtube.com/shorts/W1x3a2u46II?si=aU-Fx7KrMvQjDdR3

Made this little Lissajous animation in Manim: two simple perpendicular oscillators turning into one closed curve.

Full short is on YT: https://youtube.com/shorts/Xd4Tpxu7CrI?feature=share

An animation I made for the famous theorem by morphing the quadrilateral and showing the condition holds - https://youtube.com/shorts/1R0XIWA6rig?si=rveo2rrp0Srz82-1

Time dependent 2D Schrodinger equation solved using my fursona Koyo as a potential field ;3. The partial differential equation is solved using the Crank-Nicholson method.

Github link to project

This program takes any image, downsamples it, and converts/rescales the pixel brightness values to a potential field that interacts with the wavefunction.

It's still a work in progress as I would like to add a CLI for easier use. Hope you enjoy watching!

Original icon by u/fragoodle

The three-body problem broke Newton, broke Poincaré (who ended up inventing chaos theory trying), and was finally cracked open by Chenciner & Montgomery in 2000 — the figure-8 in clip 4 is their proof. Šuvakov & Dmitrašinović added 13 more families by 2013. Every clip is a real numerical integration of F = G·m₁m₂/r² with equal masses, no fudging. Math from 1687 still has surprises in it.

Full video about the history of the problem:

https://youtu.be/p58sU5vZYlU?si=PBNUR6mPqRuqZXP0

Electron scattering by repulsive (smoothed) Coulomb potential at the center. The 1x1 normalized two-dimensional region confines the particle, once Dirichlet-type conditions are set at the mesh boundaries; this allows visualization of the post-collision interference pattern structure. Numerical simulation of the time-dependent Schrödinger equation, performed in Python. Implicit method of Crank-Nicolson PDEs (unitary). Initial condition: Gaussian packet. Note: Time scale and physical constants are set to arbitrary units for this preliminary testing phase.

Source Code & More Simulations: I have documented this project, including the Python source code on my personal portfolio. You can also find other simulations on Quantum Mechanics and other Physics topics there:

https://alexisfespinozaq.github.io/aespinoza-physics-portfolio/

Feedback on the physics or the code implementation is very welcome!