For the figure proven below in Fig. 1, a vertical hole metallic shaft of diameter 5mm and length 100mm is constant at its higher give up and has a strong round disc having a diameter (D) = 90mm and a mass (m) = 12kg constant rigidly to its decrease give up as proven. Taking G = 83 GN/m² for the metallic rod and assuming 0 damping, calculate: a) The torsional stiffness of the hole rod shaft. b) The moment of inertia of the strong round disc. c) The natural frequency of torsional vibration of the system. 1000

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For the figure proven below in Fig. 1, a vertical hole metallic shaft of diameter 5mm and length
100mm is constant at its higher give up and has a strong round disc having a diameter (D) = 90mm
and a mass (m) = 12kg constant rigidly to its decrease give up as proven. Taking G = 83 GN/m² for
the metallic rod and assuming 0 damping, calculate: a) The torsional stiffness of the hole rod
shaft. b) The moment of inertia of the strong round disc. c) The natural frequency of torsional
vibration of the system.
10 mm
1000 mm
Transcribed Image Text:For the figure proven below in Fig. 1, a vertical hole metallic shaft of diameter 5mm and length 100mm is constant at its higher give up and has a strong round disc having a diameter (D) = 90mm and a mass (m) = 12kg constant rigidly to its decrease give up as proven. Taking G = 83 GN/m² for the metallic rod and assuming 0 damping, calculate: a) The torsional stiffness of the hole rod shaft. b) The moment of inertia of the strong round disc. c) The natural frequency of torsional vibration of the system. 10 mm 1000 mm
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