Question: Solve Problem 8.73 using the Rayleigh-Ritz method with the mode shape [U(x)=c_{1} sin frac{pi x}{2 l}+c_{2} sin frac{3 pi x}{2 l}]

Solve Problem 8.73 using the Rayleigh-Ritz method with the mode shape

\[U(x)=c_{1} \sin \frac{\pi x}{2 l}+c_{2} \sin \frac{3 \pi x}{2 l}\]

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