A flywheel is mounted on a vertical shaft. The both ends of a shaft are fixed and its diameter is 50 mm. The flywheel has a mass of 500 kg, the modulus of rigidity for the shaft material is 80 GN/m^2 and its radius of gyration is 0.5 m. Find the natural frequency of torsional vibrations.
(a) 5.32
(b) 5.86
(c) 5.65
(d) 6.66
I had been asked this question in an international level competition.
I would like to ask this question from Effect of Inertia of the Constraint on Torsional Vibrations in section Torsional Vibrations of Machine Dynamics