Question: M b k k m y b Figure 1 Figure 2 2. (25 points) The system shown in Figure 2 has m = 10

M b k k m y b Figure 1 Figure 2 2.

M b k k m y b Figure 1 Figure 2 2. (25 points) The system shown in Figure 2 has m = 10 kg, b = 40 N-s/m, and k = 130 N/m. The system is at rest initially and a displacement input u(t) is applied at t = 0. Find the transfer function Y(s) and determine the damping ratio 3, natural frequency wn, and damped natural U(s) frequency wa of the system.

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