Lagrangian, Hamiltonian coordinates

AI Thread Summary
A user with a background in Classical Mechanics seeks help with Lagrangian and Hamiltonian mechanics, specifically struggling with coordinate systems in complex problems like a disk rolling on an inclined plane with a pendulum. They express a need for foundational knowledge to tackle these issues effectively. Suggestions for resources include introductory texts on analytical mechanics, with Fowles' "Analytical Mechanics" recommended as a suitable undergraduate reference. Understanding the transition between generalized and Cartesian coordinates is emphasized as crucial for solving such problems. Mastering these concepts will enhance problem-solving skills in analytical mechanics.
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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