Question: Using the results of Chapter Problem 10.13, determine the natural frequencies of longitudinal vibrations of a bar fixed at one end and free at the

Using the results of Chapter Problem 10.13, determine the natural frequencies of longitudinal vibrations of a bar fixed at one end and free at the other.

Data From Chapter Problem 10.13:

The elastic bar of Figure P10.13 is undergoing longitudinal vibrations. Let $u(x, t)$ be the time-dependent displacement of a particle along the centroidal axis of the bar, initially a distance $x$ from the left support.

u(x, t) dx -p.A.E X FIGURE P10.13 L

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