Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

henpen

  • 3 years ago

Is the definition \-[\frac{\partial \mathbf{U}}{\partial \mathbf{x}}=\mathbf{F}\] arrived at only by minimising action (that is, using the Euler-Lagrange equation) and F=ma (that is, is there any other equally thorough way of doing it)?

  • This Question is Closed
  1. henpen
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    That is, if you assume \[T=0.5mv^2\] and \[U=U\], and plug this into the Euler-Lagrange equation, you get \[m\ddot{x}=\frac{dU}{dx}\]. Is this the only fundamental way to get to this equation, or is it only one example of many equally fundamental ones?

  2. henpen
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    *with a minus sign, of course

  3. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy