Newton's Second Law in Spherical Coordinates | Classical Mechanics

[@madspidey214]

Thank you so much Sir ❤️🛐

[@stewartcopeland4950]

Thank you for so much clarity in the mathematical development!

[@DotPhysics]

Glad it was helpful!

[@lb4970]

I enjoyed this presentation, not only the topic is very interesting, but the style is awesome. Congrat. I have a question for you: say we have a moving spherical coordinate system, like on Earth (constant speed of rotation around the z axix), how would you include the acceleration of the moving coordinate system into your final equations? I have an idea for that but I would like to cross check that with you. Thanks for your help!

[@7177YT]

Cool! ...and tedious. (;

[@DotPhysics]

VERY tedious - that's very true.

[@vusvis]

Very clear derivation! I'm currently doing my master's thesis in aerodynamics and am trying to derive a model for the dynamics of an energy-generating kite. The tether means that spherical coordinates are the most practical option. This was a very good refresher!

[@DotPhysics]

Glad you found it helpful!

[@babiyanathimotheyu2795]

It's very useful for me sir😊

[@DotPhysics]

Glad to hear that

[@babiyanathimotheyu2795]

Would you please post a video for Hamilton principle

[@mihaelacosinschi]

Thank you enormously! You've explained it so fluidly and made it into a very accessible shape, I love it. I wish more people could have been blessed with teachers like you!

[@DotPhysics]

thank you very much!

[@زينالعابدينماجدمحمد]

Thank you so much sir

[@alexandre6881]

Perfect class!

[@jakegroat4447]

That was fun!

[@cerendagyar]

Thank you so much! :)

[@Papinuer]

Excelente, muchísimas gracias. Espero pueda realizar videos para coordenadas cilíndricas y polares. Otra cosa que me gustaría pedirle si fuera posible es que pueda explicar a partir de las ecuaciones de Maxwell, las leyes de snell, anillos de newton, etc. En general la demostración a partir de las leyes de Maxwell de la óptica geométrica ¿Se puede deducir a partir de ahí? Le envió un gran saludo y agradecimiento desde Coyhaique, Chile.

[@DotPhysics]

Here's some stuff that might help - Cylindrical coordinates kzbin.info/www/bejne/qJ3RnX6Jma2Nd9k - polar coordinates kzbin.info/www/bejne/e4qzqHeMdrOiocU - Intro to Maxwell's equations kzbin.info/www/bejne/rYC3loqra66sr5I