5 Amplitude 4. W 3 1 2- 1 1. I 1 1 1.0 20 rime (secs) Figure 1 The graph in Figure 1 is the response y(t) of a mechanica

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5 Amplitude 4 W 3 1 2 1 1 I 1 1 1 0 20 Rime Secs Figure 1 The Graph In Figure 1 Is The Response Y T Of A Mechanica 1 (52.25 KiB) Viewed 23 times

5 Amplitude 4. W 3 1 2- 1 1. I 1 1 1.0 20 rime (secs) Figure 1 The graph in Figure 1 is the response y(t) of a mechanical system to a step input of magnitude 9. a) What is the order of the system? b) c) d) Estimate the values of the relevant parameters off the graph and determine the transfer function of the system. If the values of K and wn are the same as determined in b), what would be the minimum value of that results in a zero percentage overshoot? If the values of and K are the same as determined in b), and wn is increased by 25%, what would be the new value of the percentage overshoot? Find the settling time. e) f) Determine the initial and final values of the unit impulse response of the system. g) Use the transfer function determined in part b) to derive the time domain mathematical model with x(t) and y(t) being the input and the output respectively. h) If function x(t)=4sin(4t) is applied as the input, sketch the steady state component of the output.