Asked by Darcy
A point mass m is connected by a massless rod of length L to a fixed point of support, such that the mass is free to rotate about the support in any direction under the influence of
gravity.
(a) Construct a Lagrangian in terms of suitable generalised coordinates, and hence write down the equations of motion.
(b) Consider the special case in which the mass moves on a circular path, the rod making a constant angle £c0 with the vertical. Find the angular velocity of motion around the circle.
gravity.
(a) Construct a Lagrangian in terms of suitable generalised coordinates, and hence write down the equations of motion.
(b) Consider the special case in which the mass moves on a circular path, the rod making a constant angle £c0 with the vertical. Find the angular velocity of motion around the circle.
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