Answer to Question #210671 in Classical Mechanics for maria

Question

A smooth wire is bent into the shape of a helix with cylindrical polar coordinates ρ=R

and z=λφ, where R and λ are constants and the z axis is vertically up. Using z as your generalized

coordinate, write down the lagrangian for a bead of mass m threaded on the wire. Find the lagrange

equation and hence the bead’s vertical acceleration d2 z/dt

2 . In the limit that R goes to zero, what is

d2 z/dt

2

? Does the make sense?

Answer 1

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