kg, and D=1 Ns/m. (a) Calculate the resonant frequency ®, and quality factor Q. (b) Calculate the displacement magnitude of the proof mass, if a sinusoidal acceleration a(t) = 9.8 cosot [m/s²] is applied to the accelerometer with o much less than o1. (c) Calculate the displacement magnitude of the proof mass, if a sinusoidal acceleration a(t) = 9.8 coso1t [m/s] is applied to the accelerometer.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Problem 6.10 For an accelerometer built on a simple spring-mass system
shown in Fig. 6.17, answer the following, assuming that k = 1 N/m, M,= 1
kg, and D= 1 Ns/m. (a) Calculate the resonant frequency o, and quality
factor Q. (b) Calculate the displacement magnitude of the proof mass, if a
sinusoidal acceleration a(t) = 9.8 cosot [m/s?] is applied to the accelerometer
with o much less than o1. (c) Calculate the displacement magnitude of the
proof mass, if a sinusoidal acceleration a(t) = 9.8 cosojf [m/s*] is applied to
the accelerometer.
Spring constant
k (N/m]
|Damping coefficient
D (Ns/m]
Mp
FIGURE 6.17 Spring-mass-dashpot as an accelerometer.
Transcribed Image Text:Problem 6.10 For an accelerometer built on a simple spring-mass system shown in Fig. 6.17, answer the following, assuming that k = 1 N/m, M,= 1 kg, and D= 1 Ns/m. (a) Calculate the resonant frequency o, and quality factor Q. (b) Calculate the displacement magnitude of the proof mass, if a sinusoidal acceleration a(t) = 9.8 cosot [m/s?] is applied to the accelerometer with o much less than o1. (c) Calculate the displacement magnitude of the proof mass, if a sinusoidal acceleration a(t) = 9.8 cosojf [m/s*] is applied to the accelerometer. Spring constant k (N/m] |Damping coefficient D (Ns/m] Mp FIGURE 6.17 Spring-mass-dashpot as an accelerometer.
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