According to Eq. (21), the amplitude of forced steady periodic oscillations for the system mx" + cx' + kx = Fo cos ot is given by Fo C(@) = V(k – mo²)2 + (co)² (a) If c 2 Cer/2, where cer = V4km, show that C steadily decreases as w increases. (b) If c < cer//2, show that C attains a maximum value (practical reso- nance) when c2 < wo = 2m2 w = Wm =

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According to Eq. (21), the amplitude of forced steady
periodic oscillations for the system mx" + cx' + kx =
Fo cos ot is given by
Fo
C(@) =
V(k – mo²)2 + (co)²
(a) If c 2 Cer/2, where cer = V4km, show that C
steadily decreases as w increases. (b) If c < cer//2,
show that C attains a maximum value (practical reso-
nance) when
c2
< wo =
2m2
w = Wm
=
Transcribed Image Text:According to Eq. (21), the amplitude of forced steady periodic oscillations for the system mx" + cx' + kx = Fo cos ot is given by Fo C(@) = V(k – mo²)2 + (co)² (a) If c 2 Cer/2, where cer = V4km, show that C steadily decreases as w increases. (b) If c < cer//2, show that C attains a maximum value (practical reso- nance) when c2 < wo = 2m2 w = Wm =
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