The natural frequency of vibration, in bending, of the wing of a military aircraft is found to be \(20 \mathrm{~Hz}\). Find the new frequency of bending vibration of the wing when a weapon of mass \(850 \mathrm{~kg}\) is attached at the tip of the wing, as shown in Fig. 7.10. The stiffness of the wing tip, in bending, is known to be \(700 \mathrm{kN} / \mathrm{m}\).

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dob FIGURE 7.10 Military aircraft. Bending axis