Equations of Motion for the Spherical Pendulum | 100 Subscriber Special

Here we use Lagrangian Mechanics to find the equation of motion for a Spherical Pendulum. Thanks to everyone who has subscribed to the channel so far. Enjoy :3

[@clifforddicarlo9178]

Note that your X, Y, and Z axis, as drawn, form a Left-Handed co-ordinate system.

[@coronavirusiscoming3461]

hey man even tho im a high school senior and i dont get any of this at all lol i just wanna say ur explanations seem rly concise and good. u also seem rly passionate abt what u do, so keep up the good work!

[@madaydude_physics]

Thanks!!

[@fcvgarcia]

Thanks for sharing. Live your ckear explanations!

[@chiccomarviccico1424]

Literal life saving video, thanks so much!!!!

[@madaydude_physics]

Of course, glad to hear this helped you out!

[@CrsBurgi]

Youre saving my life with these videos

[@madaydude_physics]

Awesome, glad to hear it!

[@fabjulian7926]

Thank god, you've uploaded such a helpful video! You actually saved my master's thesis in aerospace engineering :D it's all about the basics, once you've understood those you can build upon them
thanks!

[@madaydude_physics]

Awesome to hear, glad this helped!!

[@marsmensch1540]

Amazing video!!

[@madaydude_physics]

Thanks!

[@xwyl]

The movements of the ball with the change of \phi and \theta are perpendicular to each other, so the kinetic energy can be directly obtained as at 12:28. And you can also set the origin as 0 potential point to simplify the Lagrangian.

[@littlebluebasil]

I just saw this video and it was really helpful for me; and I'm sure if this question comes up in the exam, I will definitely write it correctly. Thank you so much. Way to go

[@madaydude_physics]

Excellent, glad this helped!

[@mclark23]

This was question in a final in College. I got it right but man, just barely

[@lanefaulhaber1824]

So, is phi representing the angular distance between the the mass and the x axis, or between the current position and last position on the x-axis?

[@lanefaulhaber1824]

How do you apply these equations? Would the result you get from theta double dot be used to affect theta for its next change in relation to time?

[@miniibeto]

Nice! Now add Coriolis and its a Focault pendulum!