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Figure 2). 1.2 1 0.8 Peak value: 1.1878 0.6 Peak time: 2.0723 sec 0.4 splacement of mass

Figure 2). 1.2 1 0.8 Peak value: 1.1878 0.6 Peak time: 2.0723 sec 0.4 splacement of mass

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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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 Time (seconds) 4 6 7 Figure 2. Step response of a single-DOF translating spring-mass-damper system. Displacement of mass
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 Time (seconds) 4 6 7 Figure 2. Step response of a single-DOF translating spring-mass-damper system. Displacement of mass
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.
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.
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