Question: How do you know that this is a second order system? How do you determine where to draw the dashed lines? Please explain to me

How do you know that this is a second order system? How do you determine where to draw the dashed lines? Please explain to me step by step how to get the correct answer shown in red because I don't understand the work that was done to get the answer.

How do you know that this is a second order
Problem 4 A sensor has the frequency response given to the right. Find the dynamic parameters of the system magnitude, de 109 101 102 103 frequncy, rad/s Fitting a 0 dB/dec line to the low frequency data and a -40 dB/ dec line to the high frequency data, we see that the two lines cross at 50 rad's which is the breakpoint frequency. For a second order system (the frequency response plot has resonance, so it must be second order), the breakpoint frequency is the natural frequency. on - 50 rad/5 From the low frequency data. we see that Kay - 10 aB K - 1010420 - 3.16 From the value at the peak. M. = 14 25. M - 10 4 39 - 501 K M - 5.01 - K 3.16 # 0.32 RM 2(5.01)

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