Determine the natural frequencies and mode shapes of the torsional system of Problem 7.81. Data From Problem

Question:

Determine the natural frequencies and mode shapes of the torsional system of Problem 7.81.

Data From Problem 7.81:
Derive the differential equations governing the torsional oscillations of the turbomotor of Figure P7.81. The motor operates at 800 rpm and the turbine shaft turns at 3200 rpm. 

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