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I think it was called particle in a ring..so yeah lol

Yeah sounds useful and interesting if you wanna explain it!

T = kinetic energy
U = potential energy

Okkkkk

We need a better coordinate system so we have to use polar/ spherical :P

Lol we can do what ever, I think the difficult part is just finding the constraint really

|dw:1442818995523:dw| the constraint will be \[z=r-\sqrt{r^2-\rho^2}\] then

\[L = \frac{ 1 }{ 2 }(\dot \rho ^2 + \rho ^2 \dot \theta ^2 + \dot z^2)-mgz\]

hmmm wait I thought \(\rho\) was going to be the radius, but it's not?

Note \[y^2 = \rho^2\]