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Homework Statement
Hello!
I have some problems with constructing Lagrangian for the given system:
(Attached files)
Homework Equations
The answer should be given in the following form: L=TU=...
The Attempt at a Solution
I tried to construct the Lagrangian, but I'm not sure if I did it correctly:
$$\frac{M}{2} \left(\dot z^{2} + \dot x^{2} + \dot y^{2}\right) = T$$
$$ U=mgz $$
$$ x=L*{\cos{\varphi}},$$
$$y=L*{\sin{\varphi}},$$
$$z=l*(1{\cos{\varphi}}) $$
$$ e l q \sin{\left (\varphi \right )}  g l M \left( \cos{\left (\varphi \right )} + 1\right) + \frac{L^{2} M}{2} \left(\dot {\varphi}^{2} + \left( \cos{\left (\varphi \right )} + 1\right)^{2}\right) = {\mathcal {L}}$$
I'll appreciate any help.
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