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

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

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genius_generous answered 1 year ago

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