Please solve this problem by showing the manual calculation and choose the correct answer(SUBJECT: mechanical vibrations) Find the natural frequencies of the system for k₁= 250 N/m, k2 = 700 N/m, k3 = 100 N/m, m₁ = 1.8 kg, and m2 = 0.7 kg. Ţ x(1) a. Ţ x₂(1) 00000 k₁= k m₁ = m 00000 k₂ = nk m₂ = m k3= k W₁ = 5.73 rad/s and O b. w₁ 32.8 rad/s and O c. w₁ = 12.8819 rad/s and w2= 30.5624 rad/s O d. w₁ 917.2 rad/s and w2= 13082.8 rad/s w2 = 40.47 rad/s w2 = 1637.8 rad/s

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Please solve this problem by showing the manual calculation and choose the correct answer(SUBJECT: mechanical
vibrations)
Find the natural frequencies of the system for k₁= 250 N/m, k2 = 700 N/m, k3= 100 N/m, m₁ = 1.8 kg, and m2 = 0.7 kg.
Ţ
x₁ (1)
Ţ
x₂(1)
Show Transcribed Text
m₁ = m
00000
k₁= k
00000
k₂= nk
m₂ = m
k3= k
w₁ = 5.73 rad/s and w2= 40.47 rad/s
O b. w₁ 32.8 rad/s and w2 = 1637.8 rad/s
O c. w₁ = 12.8819 rad/s and w2= 30.5624 rad/s
O d. w₁ 917.2 rad/s and w2 = 13082.8 rad/s
Ć
Transcribed Image Text:Please solve this problem by showing the manual calculation and choose the correct answer(SUBJECT: mechanical vibrations) Find the natural frequencies of the system for k₁= 250 N/m, k2 = 700 N/m, k3= 100 N/m, m₁ = 1.8 kg, and m2 = 0.7 kg. Ţ x₁ (1) Ţ x₂(1) Show Transcribed Text m₁ = m 00000 k₁= k 00000 k₂= nk m₂ = m k3= k w₁ = 5.73 rad/s and w2= 40.47 rad/s O b. w₁ 32.8 rad/s and w2 = 1637.8 rad/s O c. w₁ = 12.8819 rad/s and w2= 30.5624 rad/s O d. w₁ 917.2 rad/s and w2 = 13082.8 rad/s Ć
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