I want to show the Lagrange's equations reduces to Newton's equation of motion if we take the Cartesian coordinates as the generalised coordinates.(adsbygoogle = window.adsbygoogle || []).push({});

So let T be the K.E. of the system and V be the P.E. of the system. So the Lagrangian is L=T-V.

So [tex]T = \frac{1}{2}m(\dot{x}^2 + \dot{y}^2 + \dot{z}^2)[/tex]

& [tex]V = V(x,y,z)[/tex]

Help me proceed with the proof .

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# Lagrange's equations to Newton's equations

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