The system shown in Figure 4-54 is initially at rest, and the displacement $x$ is measured from the equilibrium position. At $t = 0$, a force $u$ is applied to the system. If $u$ is the input to the system and $x$ is the output, obtain the transfer function $X(s)/U(s)$.
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The system consists of a mass \( m \), a damper with damping coefficient \( b \), and three springs with spring constants \( k_1 \), \( k_2 \), and \( k_3 \). Show more…
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