(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hello!

I have some problems with constructing Lagrangian for the given system:

(Attached files)

2. Relevant equations

The answer should be given in the following form: L=T-U=...

3. 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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# Homework Help: Construct the Lagrangian for the system

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