# Lagrangian Multipliers with messy Solution

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Mishal0488
Hi Guys

Please refer to the attached file.
I have not included any of the derivatives or partial derivatives as it does get messy, I just just included the kinetic and potential energy equations and the holonomic constraint.

The holonomic constraint can be considered using Lagrange multipliers. The result is 4 equations, one for each coordinate and the holonomic constraint.

I am not sure what to do once I am at this point, can someone please assist?
With regards to the holonomic constraint, I can make one of the variables the subject of the formula, however due to the squared terms there are two equations which will arise.

Kind regards
Mishal Mohanlal

#### Attachments

• Second option revised.pdf
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