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If the polar moment of inertia is increased to four times, then what will be the effect on free torsional vibrations of a single motor system?

(a) Increases 4 times

(b) Increases 2 times

(c) Decreases 4 times

(d) Decreases 2 times

This question was posed to me in exam.

This key question is from Free Torsional Vibrations of a Single Rotor System topic in chapter Torsional Vibrations of Machine Dynamics

1 Answer

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by (38.6k points)
Correct option is (b) Increases 2 times

Explanation: Since the free torsional vibrations of a single motor system depend on the square root of the polar moment of inertia of the system, increasing 4 times will lead to increase in two times the initial vibration.

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