Oh, I think I figured it out. The virtual displacements ∂q_i are not independent in these coordinates, therefore if my T depends on both x and θ, I have to take both in account to create an equation of motion.
Please let me know if any these comments are correct :)
Hello everyone!
I have a (supposedly) calculus problem that I just can't seem to figure out. Basically, I'm trying to understand why alternative kinetic energy formulation does not yield the same equations of motion in problem 11 of Goldstein's Classic Mechanics 3 edition.
The text of problem...