Is theta independent of theta_dot? The last but two row shows when taking partial derivative, we treats the two as two regular variables.
I think they are not independent since for the rotational kinetic energy, we are replacing angular velocity with the theta_dot, angular velocity should be dtheta/dt
quite useful page for quiz 12 as well
I feel like I understand this derivation but I'm still confused as to how it works for quiz 12 part 2 of this part when vector is involved
I have the same question why we ignore that theta_dot when we do partial derivative of theta. From intuition, theta_dot is kind of related to theta?
I believe here we view theta_dot and theta independently. It's something related to the definition of partial derivitive.
Lagrangian mechanics is an amazing form of Newton's second law, except extremely tedious to compute.