Hello everyone,(adsbygoogle = window.adsbygoogle || []).push({});

I have a problem with 4 degrees of freedom, 2 of which are superfluous. My goal is to derive the equations of motion.

I have derived the equations connecting the superfluous DoFs with the independent ones, however they are nonlinear and interlaced, which means that I cannot solve the constraint equations to derive expressions for each variable in order to make substitutions.

I know that in larger scale problems where it is difficult to substitute the superfluous DOFs we use Lagrange multipliers. However, my books only mention cases of linear constraints and I cannot think of a way to use Lagrange multipliers with the interlaced equations.

Does anyone have a pointer?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Lagrangian Dynamic with non linear interlaced constraints

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**