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

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SUMMARY

The discussion focuses on deriving the equations of motion for small vertical motions using the Euler-Lagrange formalism. Key steps include identifying generalized coordinates and constraints, calculating the potential and kinetic energies of the system, and formulating the Lagrangian as L = T - V. Participants emphasize the importance of applying the Euler equations to complete the analysis. The conversation highlights the systematic approach required for solving dynamics problems in classical mechanics.

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  • Understanding of Lagrangian mechanics
  • Familiarity with potential and kinetic energy concepts
  • Knowledge of generalized coordinates and constraints
  • Basic proficiency in applying the Euler-Lagrange equations
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  • Study the derivation of the Euler-Lagrange equations in detail
  • Explore examples of Lagrangian mechanics applied to simple harmonic motion
  • Learn about constraints in mechanical systems and their implications
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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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