Consider a bead of mass m on a circular wire of radius R. Assume a force kx acts on the bead, where x and y axes run through the center of the circle. Using θ as the generalized coordinate (measured relative to the x axis), (a) Write the Lagrangian in terms of θ. (b) Find the equations of motion.
Consider a bead of mass m on a circular wire of radius R. Assume a force kx acts on the bead, where x and y axes run through the center of the circle. Using θ as the generalized coordinate (measured relative to the x axis), (a) Write the Lagrangian in terms of θ. (b) Find the equations of motion.
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Consider a bead of mass m on a circular wire of radius R. Assume a force kx acts on the
bead, where x and y axes run through the center of the circle. Using θ as the generalized
coordinate (measured relative to the x axis),
(a) Write the Lagrangian in terms of θ.
(b) Find the equations of motion.
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