A bird strike on the engine of an airplane can be considered as an impulse (Fig. 4.60(a)). If the stiffness and damping coefficient of the engine mount are given by \(k=50,000 \mathrm{~N} / \mathrm{m}\) and \(c=1000 \mathrm{~N}-\mathrm{s} / \mathrm{m}\), and the engine mass is \(m=500 \mathrm{~kg}\), find the response of the engine. Assume the mass of the bird as \(4 \mathrm{~kg}\) and the velocity of the airplane as \(250 \mathrm{~km} / \mathrm{h}\).

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Wing Engine mount F8(t) m Engine -x(t) F (Impulse) (a) Physical system FIGURE 4.60 Bird strike on engine. (b) Model