Equations of Motion using Euler-Lagrange Formalism for Small Vertical Motions

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The discussion focuses on deriving equations of motion using the Euler-Lagrange formalism for small vertical motions. Key steps include identifying generalized coordinates and constraints, calculating potential and kinetic energies, and determining the Lagrangian (L = T - V). Participants emphasize the importance of correctly applying the Euler equations to complete the analysis. The thread highlights the collaborative effort to solve the problem, with users offering assistance and encouragement. Overall, the conversation centers on applying theoretical principles to practical motion problems.
pedromcrosa
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(sorry for my english :P)

Hi,

I need help with this problem:

.The question is:

Write the equations of motion using the Euler-Lagrange formalism, assuming small motions around the vertical position.
clue:determine the work of the forces as a function of degrees of freedom.
 

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You need to make an attempt to solve the problem, but in general,
1. write down your generalized coordinates i.e. identify and use your constraints.
2. write the potential and kinetic energies of the system
3. find L = T-V, where T =kinetic and V = potential and L = lagrangian
4. Write the Euler equations
 
Thanks for the help Dikmikkel,

i'm going to try to do .


PMCR
 
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