3. Comprehensive Questions (total 40 points, each question 20 points) 1) A seismic instrument like the one shown in Figure 1 is to be used to measure a periodic vibration having an amplitude of 0.5 cm and a frequency of 628 rad/s. To do: (a) Specify an appropriate combination of natural frequency and damping ratio such that the dynamic error in the output is less than 5%. (b) Specify spring constant and damping coefficient that would yield these values of natural frequency and damping ratio? (c) Calculate the phase lag for the output signal. (d) if the input frequency were changed to natural frequency? calculate the phase lag.
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