In the shown figure, let m1 = 1 kg, m2 = 2 kg, k1 = k3 = 100 N/m and kɔ = 200 N/m. (a) Write the equations of motion for the system shown. (b) Determine the system natural frequencies. (c) Evaluate and logically explain the mode shapes. H k2 k3 m2

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In the shown figure, let m1 = 1 kg, m, = 2 kg, k = k3 = 100 N/m and k = 200 N/m.
(a) Write the equations of motion for the system shown.
(b) Determine the system natural frequencies.
(c) Evaluate and logically explain the mode shapes.
k2
kz
m2
Transcribed Image Text:In the shown figure, let m1 = 1 kg, m, = 2 kg, k = k3 = 100 N/m and k = 200 N/m. (a) Write the equations of motion for the system shown. (b) Determine the system natural frequencies. (c) Evaluate and logically explain the mode shapes. k2 kz m2
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