Free torsional vibrations will occur in a two rotor system only if both rotors have same frequency.

Free torsional vibrations will occur in a two rotor system only if both rotors have same frequency. Correct Answer True

In a two rotor system the free torsional vibration will occur only if both the rotors have the same frequency of vibration, it follows the following relation between length and mass moment of inertia: L(A)I(A) = L(B)I(B).
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The natural frequency of free torsional vibrations of a shaft is equal to (where q = Torsional stiffness of the shaft and $$I$$ = Mass moment of inertia of the disc attached at the end of a shaft)