A delicate instrument weighing \(200 \mathrm{~N}\) is suspended by four identical springs, each with stiffness \(50,000 \mathrm{~N} / \mathrm{m}\), in a rigid box as shown in Fig. 9.50. The box is transported by a truck. If the truck is subjected to a vertical harmonic motion given by \(y(t)=0.02 \sin 10 t \mathrm{~m}\), find the maximum displacement, velocity, and acceleration experienced by the instrument.

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Rigid box 00000 00000 m 00000 x(t) y(t) 0.02 sin 10t m T Truck bed FIGURE 9.50 Harmonic base motion of spring-supported instrument.