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 (t) Ţ x₂(1) 00000 k₁ = k = m m₁ = k₂ = nk m₂ = m k3= k a. 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

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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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.
W
Ţ
x₂ (1)
a.
Ţ
x₂(1)
k₁ = k
m₁ = m
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
Transcribed Image Text: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. W Ţ x₂ (1) a. Ţ x₂(1) k₁ = k m₁ = m 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
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