A cable of length \(l\) and mass \(ho\) per unit length is stretched under a tension \(P\). One end of the cable is connected to a mass \(m\), which can move in a frictionless slot, and the other end is fastened to a spring of stiffness \(k\), as shown in Fig. 8.24. Derive the frequency equation for the transverse vibration of the cable.

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22 0000000000 k2 FIGURE 8.24 Cable connected to mass at one end and springs at the other end. 1+ m