But *must* be done using algrangian mechanics(adsbygoogle = window.adsbygoogle || []).push({});

(because its so much fun taht way)

A uniform rope of length l and mass m lies on a horizontal table with one side just barely over the edge. The rope is given a nudge, taht is an initial speed Vo and begins to slide off

Assuming that friction is negligible, determine the Lagrangina of this system and the resulting equation of motion

[tex] T = \frac{1}{2} m \dot{r}^2 [/tex]

the force of gravity acts on the mass hanging off the edge only so

[tex] F = \frac{my}{L}g = - \nabla V(y)[/tex]

[tex] V(y) = \frac{mgy^2}{2L} [/tex]

can r be found in terms of y, though?

any help is greatly appreciated!

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# Homework Help: Simple mechanics problem

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