Lagrangian, Hamiltonian coordinates

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SUMMARY

The discussion focuses on the transition from Newtonian mechanics to Lagrangian and Hamiltonian mechanics, highlighting the challenges faced in understanding coordinate systems. The user expresses difficulty in solving problems involving complex systems, such as a disk rolling on an inclined plane with a pendulum. It is concluded that a solid understanding of generalized coordinates is essential for tackling these problems, with recommendations for introductory texts like Fowles' "Analytical Mechanics" to aid in this transition.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with momentum principles
  • Basic knowledge of coordinate systems
  • Introductory concepts in analytical mechanics
NEXT STEPS
  • Study Fowles' "Analytical Mechanics" for foundational knowledge
  • Explore generalized coordinates and their applications in mechanics
  • Learn about Lagrangian mechanics and its formulation
  • Investigate Hamiltonian mechanics and its differences from Lagrangian mechanics
USEFUL FOR

Students and professionals in physics, particularly those transitioning from classical mechanics to analytical mechanics, as well as anyone seeking to deepen their understanding of Lagrangian and Hamiltonian formulations.

badri89
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Dear All,

To give a background about myself in Classical Mechanics, I know to solve problems using Newton's laws, momentum principle, etc.

I din't have a exposure to Lagrangian and Hamiltonian until recently. So I tried to read about it and I found that I was pretty weak in coordinate systems. Especially in problems such as, a disk rolling on a inclined plane with a pendulum attached to it. I find much difficulty in finding the coordinates of the bob.

What prerequisite I need to crack these sort of problems? Give me some links to brush up coordinate system or suggest some reading! Thanks
 
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Any introductory text on analytical mechanics should provide adequate guidance - they all have to move between the "generalized" coordinates that are natural to a problem and the cartesian coordinates where you know how to express the kinetic energy.

For example, Fowles "Analytical Mechanics" is a good undergraduate text.
 

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