Question: Consider the spring and mass shown in Figure 3.3 where M = 1 kg, k = 100 N/m, and b = 20 Ns/m. (a) Find

Consider the spring and mass shown in Figure 3.3 where M = 1 kg, k = 100 N/m, and b = 20 Ns/m.

(a) Find the state vector differential equation.

(b) Find the roots of the characteristic equation for this system.

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