Alan,
What approach do you take when you are interested in determining
forces of constraint? Using Lagrange's method to obtain the equations
of motion is convenient, but I've never explored constraint forces in
problems that I've solved using Lagrange's method. Do you have to use
Lagrange multipliers, or is there another way?
In the approach I outlined, you would simply dot the vector form of
the motion equation into a direction aligned with the rod
(-sin(theta)*\hat{i} - cos(theta)*\hat{j}), and then solve for F.
~Luke
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