Pendulum Motion in PYTHON

No paper required! Set up the problem, derive the differential equations, and solve them with only sympy and numpy. Also sympy if you're watching this I hope you enjoyed the FIRE theme song I made for you.

Code located in the link below. Go to "Python Metaphysics tutorials" and then "Vid 4"

[aliexpress.official]

I cant explain how much I appreciate this channel. It's making me a better physicist and you make it look so cool

[srijayadhikari]

I recently finished an assignment to visualise the lagrangian of a simple pendulum by plotting the odeint solution along with the hands-on mathematical solution of the second degree diff equation. I loved the way you put the animations. I'm gonna try it as well!

[bingodeagle]

wow this is amazing, I recently undertook a long project for my degree based entirely on numerically integrating the 3 body problem, finding this out now makes me wonder how much time I could have saved just using sympy. Thanks so much for this content!

[renegaed]

Best channel on physics, engineering and python! A real treasure trove.

[AJ-etvf]

Awesome! I love the animations! Definitely hope to do animations too myself. As always, great content.

[allenjackson]

Thanks for your videos! Although I am now retired, I am just having fun working physics problems, and your videos are incredibly helpful.

[christophekapuschenski]

Looking forward to your 1K and 1M subs videos

[gustavopazrequejo]

New subscriber here, appreciate a lot your videos (already in the discord channel) keep going

[lioneloddo]

At 8:30, the order of the terms are not keeped, the m and the g are inverted.
Is there a way to avoid this ?
Thanks for yours video. Very very useful.

[luisruiz-iedm]

how would you go about plotting theta dot vs theta inorder to obtain the phase space of these motions?

[mprencipe]

I was trying to compute kinetic energy by lambdifying the expression for T (getting T_f). I got no error when I did the lambdification, but when I invoked T_f with the appropriate parameters I got the error name 'Derivative' is not defined. What to do?

[PtrickJmes]

great video, how would i add a dissipation function?

[asimdahal]

How do you get output in beautiful LATEX form? It doesn't happen when I do it.

[robellish]

Thank you for your video. How can we use other numerical solvers such as RK45, ODE45, besides odeint. can you please give us some recommendation?

[jtong]

Help me, please. Instead of showing a proper d(theta)dt, it shows Derivative(\theta(t), t) instead.

[HamzaAsif-ov]

how did you learn to to do that?!!
I want to do that too!

[perlindholm]

What about an absolut() curve pendelum? Something about the derivative from math

[emersoncpp]

Very nice work! Congrats!

I don't know if you've been through this but I'm having the following error when calling the lambdify method:
deriv2_f = smp.lambdify((g, the, the_d), deriv_2)

File "<string>", line 1
lambda _Dummy_168, _Dummy_169, Derivative(\theta(t), t): (0.25*(-_Dummy_168 + 4.0*Derivative(_Dummy_169, t)**2)*tan(_Dummy_169))
^
SyntaxError: invalid syntax

[yashshukla]

You know you are doing awesome things on youtube, but it's hurting me so bad that you could not get the same amount of views that one would get with the shity stuff they are doing.