Question: The cable between two electric transmission towers has a length of 2000m. It is clamped at its ends under a tension P (see figure

The cable between two electric transmission towers has a length of 2000m.

The cable between two electric transmission towers has a length of 2000m. It is clamped at its ends under a tension P (see figure below). The density of the cable material is 8890 kg/m3. Derive and explain the mode shapes and natural frequencies of the cable (clamped-clamped). If the first four natural frequencies are required to lie between 0 and 10 Hz., determine the necessary cross-sectional area of the cable and the initial tension. 2000 m

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