A stepped bar, fixed at (x=0) and free at (x=l), has a cross-sectional area of (2 A)
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A stepped bar, fixed at \(x=0\) and free at \(x=l\), has a cross-sectional area of \(2 A\) for \(0 \leq x \[U(x)=c_{1} \sin \frac{\pi x}{2 l}+c_{2} \sin \frac{3 \pi x}{2 l}\] estimate the first two natural frequencies of longitudinal vibration.
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