Newton's Second Law in Polar Coordinates | Classical Mechanics

[@Teting7484f]

Thanks for making this video, Im on the second section and it is already helping me understand things. My physics professor is one of those professors that doesn't show you answer or solutions so you are basically on your own but we can't miss class that is a no no.

[@leandronavarro554]

Thank you for this amazing content as always. I forgot some of it but watching this again thanks to you, i now remember some of it.

[@DotPhysics]

Glad you enjoyed it!

[@אסףמלרן-ז2ט]

The videos you make are a gift for every physics student. I didn't understand the definition of the unit vector. On one side, as I learnd it and as you introduced, you shold take the vector and devide it by it's magnitude. However, the defintion you used in order to find the r hat vector and the theta hat vector is using the partial derivatives. My question is what is the meaning of these partial derivatives, and why is this definition is also correct and usable. Thanks a lot.

[@DotPhysics]

Thank you for the nice feed back. As for the partial derivative - I try to explain that in this other video kzbin.info/www/bejne/e3bMZ51nnqyrasU

[@אסףמלרן-ז2ט]

You welcome, I wish I had these videos when I was in the first year of my degree, it could have been much easier. About my question, I'll try to be more specific: In the video you attached the explenation refers to the pratial derivatives of the polar vectors with respect to time. However, I'm asking about the calculation of the theta hat vector, using the derivative of r vector with respect to theta devided by the magnitude of r vector with respect to theta. Thanks for the quick respond earlier.

[@james_win]

A really good video

[@DotPhysics]

Thanks!

[@MrFirelord]

Thanks!

[@زينالعابدينماجدمحمد]

Thank you

[@DotPhysics]

glad you found it useful

[@valentinogasch4603]

is there any way of finding out that we have to define theta hat without knowing that we'll need it beforehand?

[@stewy0013]

You should build upon this into celestial mechanics / 2-body problem / Kepler’s laws.

[@DotPhysics]

I do have a video on central forces and the 2-body problem - hope this helps kzbin.info/www/bejne/mmGYoKyMf9WpaJY