Is research still being done in Classical Mechanics? (and another question)

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Discussion Overview

The discussion revolves around the relevance and ongoing research in Classical Mechanics, particularly in relation to its application in future physics courses and various fields of engineering. Participants also reflect on the importance of reviewing Classical Mechanics concepts after completing a university course.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • Some participants suggest that Classical Mechanics is a "complete" sub-field of Physics, prompting questions about its ongoing relevance in research.
  • There is a consensus that reviewing Classical Mechanics material is beneficial for physics majors, particularly regarding the Hamiltonian and Lagrangian formalisms, Hamilton-Jacobi theory, and Euler-Lagrange equations.
  • Participants mention various applications of Classical Mechanics in fluid dynamics, solid body mechanics, thermodynamics, and engineering fields, indicating its broad relevance.
  • Some argue that modern computational methods have opened new avenues for research in Classical Mechanics, particularly in nonlinear and chaotic systems.

Areas of Agreement / Disagreement

Participants generally agree on the importance of Classical Mechanics in future studies and its applications in engineering. However, there is no explicit consensus on the extent of ongoing research or the specific areas of focus within Classical Mechanics.

Contextual Notes

Participants express varying degrees of certainty regarding the necessity of Classical Mechanics in future courses and the nature of current research, highlighting the dependence on individual academic paths and interests.

Who May Find This Useful

This discussion may be useful for physics majors, engineering students, and anyone interested in the applications and ongoing research in Classical Mechanics.

Wishingwell
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^ topic

It just seems Classical Mechanics seems to be the most "complete" sub-field of Physics but I was just wondering.

Also, I have just finished taking my Classical Mechanics I class at my university (and I want to give a thank you to the forum again for helping me) and to be honest I've forgotten a lot of what I learned in the class. Do you think it would be wise to try and review as much of the material as possible? Note I'm a physics major and I just wanted to see if I'll be extensively be using classical mechanics in future physics classes.
 
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Wishingwell said:
Do you think it would be wise to try and review as much of the material as possible?

Yes

Note I'm a physics major and I just wanted to see if I'll be extensively be using classical mechanics in future physics classes.

At the very least you will need the Hamiltonian and Lagrangian formalisms, Hamilton-Jacobi theory, the variational principle and Euler-Lagrange equations, Euler angles and angular momentum representation.
 
Wishingwell said:
^ topic
<snip>

Yes.
Off the top of my head: in fluid flow (turbulence, wetting, microfluidic devices), solid body mechanics (shocks, fractures), constitutive relations, thermodynamics... lots of different topics.
 
Andy Resnick said:
Yes.
Off the top of my head: in fluid flow (turbulence, wetting, microfluidic devices), solid body mechanics (shocks, fractures), constitutive relations, thermodynamics... lots of different topics.
Most definitely. Essentially all engineering is applied classical physics.

Aeronautics and transportation, structural mechanics, chemical engineering, . . . all use computational physics based on 'classical physics'. There's a lot of work in multiphysics these days.
 
Yeah, you'll definitely need the ideas learned in classical mechanics in later courses. :) As for the research question...lots of exciting stuff still being done in classical physics. Computers have allowed us to explore some really interesting phenomena that were off limits a century ago...non linear and chaotic systems are the first thing that spring to my mind.
 

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