Understanding some notation of the Lagrangian in Landau & Lifshitz' book

  • #1
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Hello :

i am reading now landau & lifshitz book on mechanics and i have small question :

about L(v^2) notation it was not very clear in the book and i couldnt understand it correctly any one can explain it or provide a link with explanation
page (4 - 5)

Best regards
Hagop
 
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Answers and Replies

  • #2
anuttarasammyak
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Do you have a problem to derive (3.1) ? I understand :

L is function of only ##\mathbf{v}##, not of ##r## and t. Further L is function of ##|\mathbf{v}|=\sqrt{v^2}##. Thus L is function of ##v^2##.
 
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