(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hello. I have this problem:

I have a ring which is sliding along a wire in the shape of a spiral because of gravity.

Spiral (helix) is given as the intersection of two surfaces: x = a*cos(kz), y = a*sin(kz). The gravity field has the z axis direction.

I have to find motion equations and find the wire reaction as a function of time.

2. Relevant equations

I have to solve it with this equation:

3. The attempt at a solution

This is the first time, when I solve a example with Lagrangian equations, so I am not sure what to do.

I created this equations:

I know, it is not the end. I have to find λ, motion equations and the wire reaction. But firstly, please, tell me, if I am right or where is mistake and why. Then I will continue.

Thank you very much.

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# Homework Help: Lagrangian equations - ring which is sliding along a wire

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