Consider that the free response of the mechanical system is given by y(t) = 5e-at cos(2nf) (Eq. 1) whose plot is illustrated in Figure 3: 5 AAAA 0,05 0,15 0,25 0,10 0,20 0 0,30 (s) Figure 3 - Response of the mechanical system as described by Eq. 1. DETERMINE the frequency of damped oscillations of the system in Hertz and rad/s. Considering the damping factor as = 0.075, CALCULATE the system's natural (undamped) frequency. CALCULATE the stiffness of the system if its mass is 25 kg.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Consider that the free response of the mechanical system is given by
y(t) = 5e-at cos(2лƒ)
(Eq. 1)
whose plot is illustrated in Figure 3:
Yh(t)
5
0
0,15
0,25
Arca
0,10
0,20
0,05
0,30 {[s]
Figure 3 - Response of the mechanical system as described by Eq. 1.
DETERMINE the frequency of damped oscillations of the system in Hertz and rad/s.
Considering the damping factor as = 0.075, CALCULATE the system's natural
(undamped) frequency. CALCULATE the stiffness of the system if its mass is 25 kg.
Transcribed Image Text:Consider that the free response of the mechanical system is given by y(t) = 5e-at cos(2лƒ) (Eq. 1) whose plot is illustrated in Figure 3: Yh(t) 5 0 0,15 0,25 Arca 0,10 0,20 0,05 0,30 {[s] Figure 3 - Response of the mechanical system as described by Eq. 1. DETERMINE the frequency of damped oscillations of the system in Hertz and rad/s. Considering the damping factor as = 0.075, CALCULATE the system's natural (undamped) frequency. CALCULATE the stiffness of the system if its mass is 25 kg.
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