Re: Help with Lagrangian mechanics

bit188 skrev:
Sorry for not getting back sooner. I figured it out -- here are my
results. If there are any errors, please let me know.

Generalized coordinates are X and x, the position of the wedge and the
distance along the hypotenuse from the thin edge of the wedge to m,
respectively. I got

x" = [(M+m)gsin(alpha)cos(alpha)]/M+msin^2(alpha)
X" = [mgsin(alpha)cos(alpha)]/M+msin^2(alpha)


The result for X" looks OK (for a proper choice of
the X direction), but the expression for x" can't
be right. Check it by invoking momentum conservation
in the X-direction for particle + wedge :

MX' + mx'cos(alpha) = const,

so MX" + mx"cos(alpha) = 0,

and x" = ...

/mel
.

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