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tehdiddulator
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Homework Statement
Consider a bead of mass m sliding without friction on a wire that is bent in the shape of a parabola and is being spun with constant angular velocity ω about its vertical axis. Use cylindrical polar coordinates and let the equation of the parabola be ##z = kρ^{2}##. Write down the lagrangian in terms of ρ as the generalized coordinate. Find the equation of motion.
Homework Equations
$$L = T-U = \frac{1}{2}mv^2-mgy$$
The Attempt at a Solution
I just need a hint on how to set up the kinetic energy of the parabola, maybe someone can explain it in a different way that would push me in the right direction.
Also, sorry if this isn't considered advanced physics. This is a classical mechanics class (upper level at my school) and it seems like a gray area for me.
Thanks!
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