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 endsalways in contact with the surfaces, use the Hamilton-Jacobi equations toreduce the solution of the problem of quadratures.

One end of a uniform rod of length 21 and mass m rests against a smoot

1.	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 endsalways in contact with the surfaces, use the Hamilton-Jacobi equations toreduce the solution of the problem of quadratures.
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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