The cable between two electric transmission towers has a length of (2000 mathrm{~m}). It is clamped at
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The cable between two electric transmission towers has a length of \(2000 \mathrm{~m}\). It is clamped at its ends under a tension \(P\) (Fig. 8.25). The density of the cable material is \(8890 \mathrm{~kg} / \mathrm{m}^{3}\). If the first four natural frequencies are required to lie between \(0 \mathrm{~Hz}\) and \(20 \mathrm{~Hz}\), determine the necessary cross-sectional area of the cable and the initial tension.
Figure 8.25:-
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