Find the natural frequencies of the system shown in Fig. 6.19 with m = 1 kg, != 1 m, k = 1000 N/m, and c = 100 N-s/m.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Find the natural frequencies of the system shown in Fig. 6.19 with m = 1 kg = 1 m, k = 1000 N/m, and c = 100 N-s/m.
19
4
0(1)
2k
000
k
a.
w₁ = 2.761 rad/s
O b. w₁ = 0.4848 rad/s
Oc. w₁-23.6612 rad/s
O d. w₁ = 22.0189 rad/s
2m
exe
m
M₂(1)
T
x₁ (1)
F₁(1)
T
x₂(1)
F₂(1)
31
4
Rigid bar, mass = 2m
W₂ = 7.544 rad/s
and
W2 = 1.955 rad/s and
W2 = -88.879 rad/s
and
w2 = 44.2155 rad/s and
W3 = 6.1211 rad/s
W3 = 4.747 rad/s
3k
W3 = -9.8976 rad/s
w3 = 68.9012 rad/s
Transcribed Image Text:Find the natural frequencies of the system shown in Fig. 6.19 with m = 1 kg = 1 m, k = 1000 N/m, and c = 100 N-s/m. 19 4 0(1) 2k 000 k a. w₁ = 2.761 rad/s O b. w₁ = 0.4848 rad/s Oc. w₁-23.6612 rad/s O d. w₁ = 22.0189 rad/s 2m exe m M₂(1) T x₁ (1) F₁(1) T x₂(1) F₂(1) 31 4 Rigid bar, mass = 2m W₂ = 7.544 rad/s and W2 = 1.955 rad/s and W2 = -88.879 rad/s and w2 = 44.2155 rad/s and W3 = 6.1211 rad/s W3 = 4.747 rad/s 3k W3 = -9.8976 rad/s w3 = 68.9012 rad/s
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