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{"ops":[{"insert":"A smooth wire is bent into the shape of a helix with cylindrical polar coordinates \u03c1=R\nand z=\u03bb\u03c6, where R and \u03bb are constants and the z axis is vertically up. Using z as your generalized\ncoordinate, write down the lagrangian for a bead of mass m threaded on the wire. Find the lagrange\nequation and hence the bead\u2019s vertical acceleration d2 z\/dt\n\n2 . In the limit that R goes to zero, what is\n\nd2 z\/dt\n2\n? Does the make sense?\n"}]}
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