Consider the sysstem shown in Figure 3-45, where m = 2 kg, b = 4 Nx/m, and k = 20 N/m. Assume that x(0) = 0.1 m and xdot(0) = 0. The dsplacement x(t) is measured from the equilibrium position. Derive a mathematical model of the system. Then find x(t) as a function of time t.