How to Formulate Lagrangian Equations for a Horizontally Oscillating Pendulum?

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Homework Help Overview

The discussion revolves around formulating Lagrangian equations for a simple pendulum with a horizontally oscillating suspension point, described by the equation x = a.cos(ωt). Participants are exploring the identification of generalized coordinates in this context.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to define the generalized coordinates as functions of the angle θ and the oscillation parameters. Some participants question the correctness of these definitions and seek clarification on what constitutes the generalized coordinates.

Discussion Status

The discussion has seen some participants confirm the identification of θ as a generalized coordinate, but there is no explicit consensus on the complete formulation of the Lagrangian equations. Guidance has been offered regarding the identification of coordinates, but further exploration appears necessary.

Contextual Notes

Participants are working within the constraints of homework guidelines, which may limit the depth of exploration and the information available for discussion.

Fabio010
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Homework Statement

Write the lagrangian equations for:

A simple pendulum whose suspension point oscillates horizontally in its plan according to the law x = a.cos(ωt)My problem is trying to know which are the generalized coordinates.

i considered :x (θ) = a.cos(ωt) + l.sinθ

y (θ) = l.cos θIs that correct?
 
Last edited:
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That looks good. But to be specific, what is (or are) your generalized coordinate(s)?
 
θ isn't it?
 
Right. I was just making sure. Thanks.
 
TSny said:
Right. I was just making sure. Thanks.

ok thanks for the help.
 

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