One end of a uniform rod of length 21 and mass m rests against a smooth
horizontal floor and the other against a smooth vertical surface.
Assuming that the rod is constrained to move under gravity with its ends
always in contact with the surfaces, use the Hamilton-Jacobi equations to
reduce the solution of the problem of quadratures.
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Answer:
The force exerted by the hinge on the rod is centripetal force and is given by:
F=mrω
2
⟹F=mlω
2
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