Based on the response curve, answer the following questions: (a) What can be said about the order and damping of the system? (b) Show that the damping ratio 3 = 0.4699 and natural frequency wn = 1.7174 rad/s. (c) Write the transfer function G (s) for this system in standard form. (d) Obtain the time-domain equation describing the motion of the mass shown in Figure 2. Hint: A plot of your equation obtained in part (d) should be identical to the step response in Figure 2. You are not required to provide this plot.
Based on the response curve, answer the following questions: (a) What can be said about the order and damping of the system? (b) Show that the damping ratio 3 = 0.4699 and natural frequency wn = 1.7174 rad/s. (c) Write the transfer function G (s) for this system in standard form. (d) Obtain the time-domain equation describing the motion of the mass shown in Figure 2. Hint: A plot of your equation obtained in part (d) should be identical to the step response in Figure 2. You are not required to provide this plot.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Must answer all the four questions. Dont attempt partially. Solve fully otherwise dont attempt it. Otherwise i will dislike your answer.
Transcribed Image Text:Q3. A single-DOF translating spring-mass-damper system with unknown properties is subjected to a
unit-step input and the first seven seconds of the corresponding system response is recorded (shown in
Figure 2).
1.2
1
0.8
Peak value: 1.1878
0.6
Peak time: 2.0723 sec
0.4
0.2
1
2
3
4
6 7
Time (seconds)
Figure 2. Step response of a single-DOF translating spring-mass-damper system.
Displacement of mass
Transcribed Image Text:Based on the response curve, answer the following questions:
(a) What can be said about the order and damping of the system?
(b) Show that the damping ratio 3 = 0.4699 and natural frequency wn = 1.7174 rad/s.
(c) Write the transfer function G(s) for this system in standard form.
(d) Obtain the time-domain equation describing the motion of the mass shown in Figure 2.
Hint: A plot of your equation obtained in part (d) should be identical to the step response in Figure 2.
You are not required to provide this plot.
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