How Do I Solve for w2 in a Con-Rod Performance Index Problem?

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The discussion revolves around solving for the variable w2 in a Con-Rod Performance Index problem. The user has eliminated variable A but is struggling with a w2 term that remains in the equation, along with a cubed l term and an unsquared ρ term. They are seeking step-by-step guidance to resolve this issue. The request emphasizes the need for clarity in the solution process. Assistance is needed to navigate through the algebraic complexities involved.
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Homework Statement



Please see the attachment for the question, thanks

Homework Equations



Also given in attachment

The Attempt at a Solution



After eliminating A, I have a w2 term which I cannot eliminate and my l term is cubed and my ρ term is not squared. If anyone can guide me through step-by-step, that would be great.

Thanks!
 

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Can you show your work up to the point where you get stuck?
 
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