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2. Consider the motion of a bead on a rotating hoop of radius a as in the figure. The angular velocity of the hoop is

2. Consider the motion of a bead on a rotating hoop of radius a as in the figure. The angular velocity of the hoop is w. m * wt (a) Write down the Lagrangian in terms of 0, 0. (b) Derive the Euler-Lagrange equation of motion

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