A bead can slide on a straight wire which is always in the vertical plane. C is point on wire and wire is moving so the line joining origin O and Point C is rotated in the vertical plane with constant angular velocity ω. (a) Find appropriate generalised coordinates, Lagrangian, and the Euler-Lagrange equations and solve it for the position of the bead. (b) Find Hamiltonain. Comment on the total energy of the system.

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