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A particle of mass m moves under the influence of gravity g on the inner surface...

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Physics

A particle of mass m moves under the influence of gravity g onthe inner surface of a smooth cone of half-angle α. The axis of thecone is vertical, with its vertex downward. (a) Find theequation(s) of constraint of the system. (b) Find Lagrange’sequations of motion using the method of undetermined multipliers.(c) Determine the condition on the angular velocity ω such that theparticle can describe a horizontal circle at a height h above thevertex.

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