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Problem 1:A second order measurement system is given a series of input signals ranging in frequency from 0.01 <= w <= 400 [rad/sec] and the amplitude of the output was

recorded. Based on this data the magnitude ratio curve was plotted as function of frequency (Figure 1). The peak magnitude ratio and corresponding angular frequency are given in the figure. If the sensitivity of the system is known to be K = 1[V/N] and the system's effective mass is known to be m = 0.25 [kg],determine the damping ratio, natural frequency, damping coefficient and spring constant of the measurement system.

Fig: 1

Fig: 2