A TV antenna tower is braced by four cables, as shown in Fig. 2.77. Each cable is under tension and is made of steel with a cross-sectional area of \(322 \mathrm{~mm}^{2}\). The antenna tower can be modeled as a steel beam of square section of side \(25 \mathrm{~mm}\) for estimating its mass and stiffness. Find the tower's natural frequency of bending vibration about the \(y\)-axis.

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4 m 4 m 0.6 m 0.6 m Antenna tower 15 m Cables 30 m 4 m 4 m FIGURE 2.77 TV antenna tower braced by cables.