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2.
Consider a system of coupled oscillators with masses defined in the figure below.
Describe the motion of this system by solving for the normal modes and normal frequencies of
this system. Assume M1=M4=M, M3-M4-2M, K1=k5=2k, k2=k4=k, and k3 = 3k.
k₁
M₁
k₂
M₂
X₂
k3
M3
X3
K₁
M₁
X4
k5

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