Question 5-Multi-degree of freedom vibration (3 marks) Consider the system below where K₁=k₂ = 1000 N/m, k3= k4 = 1500 N

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Question 5 Multi Degree Of Freedom Vibration 3 Marks Consider The System Below Where K K 1000 N M K3 K4 1500 N 1 (42.34 KiB) Viewed 29 times

Question 5-Multi-degree of freedom vibration (3 marks) Consider the system below where K₁=k₂ = 1000 N/m, k3= k4 = 1500 N/m, c = 20 N. s/m, m₁ = 2 kg, m₂ = 0.5 kg, and m3 = 1 kg. Do the following a) Express the equations of motion in matrix form. b) Find the poles (eigenvalues) of the system. c) Find the dampings (C's) and natural frequencies (wn's) F m1 ooo k₁ M2 k₂ k3 Figure 6: Multi-degree of freedom vibration setup C M3 K4 000