Unformatted text preview: t 2 t 1 dt X i ( ∂L ∂q i-d dt ∂L ∂ ˙ q i ) δq i . The last equality holds because of δq i ( t 1 ) = δq i ( t 2 ) = 0. As the variations are inde-pendent, the Fnally obtained relation is equivalent to ∂L ∂q i-d dt ∂L ∂ ˙ q i = for i = 1 , . . . , n ....
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- Spring '11
- Work, Calculus of variations, Lagrangian mechanics, Noether's theorem, Lagrangian