I need a recommendation on a book for Lagrangian Mechanics

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SUMMARY

The discussion focuses on recommendations for books on Lagrangian Mechanics, specifically those that include solved problems involving mechanical and geometric constraints. The user seeks resources that provide practical examples, such as pin connections and 3D functions defining particle movement. A suggested resource is the free book by Lawden, although its clarity is noted as an issue. The user expresses a desire for guidance on problem sets applicable to Lagrangian Mechanics.

PREREQUISITES
  • Understanding of basic mechanics principles
  • Familiarity with Lagrangian formulation
  • Knowledge of mechanical and geometric constraints
  • Ability to interpret mathematical functions in a physical context
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  • Research "Lagrangian Mechanics problem sets" for practical applications
  • Explore "Analytical Mechanics by Lawden" for theoretical insights
  • Study "mechanical constraints in dynamics" for advanced understanding
  • Investigate "geometric constraints in physics" for broader applications
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Students and educators in physics, mechanical engineers, and anyone interested in applying Lagrangian Mechanics to solve complex mechanical problems.

gezibash
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I have just started studying Lagrangian Mechanics, and I can find decent material on the internet that describes the theory behind it, several proofs on equivalence and even some good solved examples.

However, I would really appreciate if someone could recommend a book that has some of the following features:

  1. Solved problems with mechanical constraints
  2. Solved problems with geometric constraints

Now I'd like to be more clear on this issue. I refer to mechanical constraints as say a pin connecting two rods or even two welded rods, basically things of this nature.

Geometric constrains are say a 3D function that would define some kind of a field in which the particle would move.

I realize that what I'm asking might even be outside of the nature of Lagrangian Mechanics, and I'd be glad if someone could help, at least guide me to the set of problems that I could solve using Lagrangian.

Thanks.
 
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Have a look at this thread. Also see the free book by Lawden https://archive.org/details/AnalyticalMechanics_862, unfortunately the writing is a little blurred.

Also look here.
 

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