A bead of mass \(m\) slides on a frictionless wire under the influence of gravity and the shape of wire is parabolic with axis begin along the vertical upwards. The wire rotates about the its axis, (\(z\)- axis), with constant angular velocity \(\omega\). Take \(z^2= a\rho\) as equation of the parabola.
- Set up Lagrangian and obtain equations of motion.
- Obtain the Hamiltonian. Is theHamiltonian equal to energy? Is the Hamiltonian or energy or both areconstants of motion?
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4727:Diamond Point
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