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6. For a rotational system, the output is related to the input T by the differential equation: d²e dt² de + cat + k0=T For the system to be critically damped, we must have: A. c = 1 B. c=k C. c= kl D. c = 2/(kl) VICE

6. For a rotational system, the output is related to the input T by the differential equation: d²e dt² de + cat + k0=T For the system to be critically damped, we must have: A. c = 1 B. c=k C. c= kl D. c = 2/(kl) VICE

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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w G | |S|S s/instrumentation-and-control-systems-3nbsped-0128234717-9780128234716_compress.pdf CD Page view A Read aloud $ D me B. Less than 1 C. 1 PROBLEMS dh P8 dt R A + O Search 5. Decide whether each of these statements is True (T) or False (F). For a hydraulic system model, the input rate of flow q is related to the output of the liquid level h in a container by the differential equation: de dt2 dt 19²0 TAdd text When there is a step input to the system: i. The steady-state gain will be 1. ii. The time constant for the system will be A. A. (i) T (ii) T B. (i) T (ii) F C. (i) F (ii) T D. (i) F (ii) F 6. For a rotational system, the output is related to the input T by the differential equation: + Fc h=q +k0= T PUS 4 Draw a 2 Clow to G For the system to be critically damped, we must have: A. c = I B. c=k C. c = kl D. c = 2√/(kl) 7. For a system which can be represented by a second-order differential equation relating its input and output, for a step input to give an output which rises to the steady-state value with no oscillations about the steady- state value and take the minimum amount of time, the damping constant has to be: A. Zero Highlight D. More than 1 8. If a system has a gain of 5, what will be the output for an input voltage of 2 V? 9. An open-loop system consists of three elements in series, the elements having gains of 2, 5 and 10. What is the overall gain of the system? 10. A closed-loop control system has a forward loop with a gain of 6 and a feedback loop with a gain of 2. What will be the overall steady-state gain of the system if the feedback is (a) positive, (b) negative? 11. Derive a differential equation relating the input and output for each of the systems shown in Figure 8.27. Water 207 X V
Transcribed Image Text:w G | |S|S s/instrumentation-and-control-systems-3nbsped-0128234717-9780128234716_compress.pdf CD Page view A Read aloud $ D me B. Less than 1 C. 1 PROBLEMS dh P8 dt R A + O Search 5. Decide whether each of these statements is True (T) or False (F). For a hydraulic system model, the input rate of flow q is related to the output of the liquid level h in a container by the differential equation: de dt2 dt 19²0 TAdd text When there is a step input to the system: i. The steady-state gain will be 1. ii. The time constant for the system will be A. A. (i) T (ii) T B. (i) T (ii) F C. (i) F (ii) T D. (i) F (ii) F 6. For a rotational system, the output is related to the input T by the differential equation: + Fc h=q +k0= T PUS 4 Draw a 2 Clow to G For the system to be critically damped, we must have: A. c = I B. c=k C. c = kl D. c = 2√/(kl) 7. For a system which can be represented by a second-order differential equation relating its input and output, for a step input to give an output which rises to the steady-state value with no oscillations about the steady- state value and take the minimum amount of time, the damping constant has to be: A. Zero Highlight D. More than 1 8. If a system has a gain of 5, what will be the output for an input voltage of 2 V? 9. An open-loop system consists of three elements in series, the elements having gains of 2, 5 and 10. What is the overall gain of the system? 10. A closed-loop control system has a forward loop with a gain of 6 and a feedback loop with a gain of 2. What will be the overall steady-state gain of the system if the feedback is (a) positive, (b) negative? 11. Derive a differential equation relating the input and output for each of the systems shown in Figure 8.27. Water 207 X V
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