Theory of Machine
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)

(1/2π). √(q/I)
2π. √(q/I)
2π qI
1/2π

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Theory of Machine
The maximum fluctuation of energy is the

Variations of energy above and below the mean resisting torque line
Difference between the maximum and minimum energies
Sum of the maximum and minimum energies
Ratio of the mean resisting torque to the work-done per cycle

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