Determine the first two natural frequencies and mode shapes, Physics

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Determine the first two natural frequencies and mode shapes

Using Holzer's method, determine the first two natural frequencies and mode shapes of the torsional system shown in Figure with the following values of J and K:

J₁=J₂=J₃=1.13 Kg.m²
J₄=2.26Kg.m²
K₁=K₂=0.169 Nm/rad 10⁶
K₃=0.226Nm/rad 10⁶

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