Question: For the 2 DOF system shown below: k 1 = 4 N m , k 2 = 4 N m , k 3 = 8

For the 2DOF system shown below:
k1=4Nm,k2=4Nm,k3=8Nm,m1=10kg,m2=20kg
subjected to initial displacements {xo}={[x10],[x20]} and initial velocities {xo}={[x10],[x20]}.
Suggest a combination of {xo} and {xo} that result in the response {x(t)} being a function of only one frequency. Support your answer with detailed calculations.
For the 2 DOF system shown below: k 1 = 4 N m , k

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