Find the steady-state response of the hydraulic control valve shown in Fig. 4.4 (a) to the forcing functions obtained by replacing \(x(t)\) with \(F(t)\) and \(A\) with \(F_{0}\) in Figs. 1.114.

Figure 4.4 (a) and Figure 1.114:-

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00000 m p(t) x(t) 50 mm, diameter p(t) = pressure, Pa 50,000 50,000t Chamber (a) 50,000(2-t) t(s) 0 1 T = 2 3 27=4 5 (b) FIGURE 4.4 Periodic vibration of a hydraulic valve.