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Assume that a sinusoidal forcing function is impressed on the system shown in Fig. 1. The natural frequency is 60 Hz, and the damping ratio c/c, is 0.7. Calculate the amplitude ratio and time lag of the system for an input frequency of 30 Hz. Calculate these quantities if the input frequency is equal to the natural frequency. Further, compare the results with both the cases and select the desirable case the time lag is the time interval between the maximum force input and maximum displacement output. with adequate justification. Note that 19-2023/03/202218b100m 0218bt087-80609-2023/03/12ut 2 Case A FU)-Focos ! x(1) Fig. 1. Second order system subjected to harmonic forcing function Seco3/03-2-2 80609-2023/03/12-202218bt087-80609-202 7/12-20221861087-80609-2

Assume that a sinusoidal forcing function is impressed on the system shown in Fig. 1. The natural frequency is 60 Hz, and the damping ratio c/c, is 0.7. Calculate the amplitude ratio and time lag of the system for an input frequency of 30 Hz. Calculate these quantities if the input frequency is equal to the natural frequency. Further, compare the results with both the cases and select the desirable case the time lag is the time interval between the maximum force input and maximum displacement output. with adequate justification. Note that 19-2023/03/202218b100m 0218bt087-80609-2023/03/12ut 2 Case A FU)-Focos ! x(1) Fig. 1. Second order system subjected to harmonic forcing function Seco3/03-2-2 80609-2023/03/12-202218bt087-80609-202 7/12-20221861087-80609-2

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
Problem 1.1MA
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Assume that a sinusoidal forcing function is impressed on the system shown in Fig. 1. The natural frequency is 60 Hz, and the damping ratio c/c is 0.7. Calculate the amplitude ratio and time lag of the system for an input frequency of 30 Hz. Calculate these quantities if the input frequency is equal to the natural frequency. Further, compare the results with both the cases and select the desirable case with adequate justification. Note that the time lag is the time interval between the maximum force input and maximum displacement output. 20/201 the case y 609-2023/03/202218b100m 0218bt087-80609-2023/03/12utput A FU)-Focos ca x(1) Fig. 1. Second order system subjected to harmonic forcing function $23/03-12-2 80609-2023/03/12-202218bt087-80609-2023 0609-2 03/12-20221861087-80609-201
Transcribed Image Text:Assume that a sinusoidal forcing function is impressed on the system shown in Fig. 1. The natural frequency is 60 Hz, and the damping ratio c/c is 0.7. Calculate the amplitude ratio and time lag of the system for an input frequency of 30 Hz. Calculate these quantities if the input frequency is equal to the natural frequency. Further, compare the results with both the cases and select the desirable case with adequate justification. Note that the time lag is the time interval between the maximum force input and maximum displacement output. 20/201 the case y 609-2023/03/202218b100m 0218bt087-80609-2023/03/12utput A FU)-Focos ca x(1) Fig. 1. Second order system subjected to harmonic forcing function $23/03-12-2 80609-2023/03/12-202218bt087-80609-2023 0609-2 03/12-20221861087-80609-201
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