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A wire is bent in a helix, with the radial distance always equal to the same...

A wire is bent in a helix, with the radial distance always equal to the same radius, s=R, while the height z is some constant k times the angle φ. Using z as the generalized coordinate, (a) what is the acceleration of a bead on the wire? (b) In the limit that R goes to zero, does your answer make sense?

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