The 140 mm long shaft shown in Figure 1 carries a two-gear wheel at each end. The gear wheel connected on left end has a mass moment of inertia of 15 kgm?. Whereas the mass moment of inertia of the gear wheel connect at right end of the shaft is 12 kgm?. The diameters of sections AB and BC of the shaft are 20 mm and 50 mm, respectively. If the modulus of rigidity of the shaft material is 80 GN/m, calculate the diameter of portion CD of the shaft that ensures that the node of the torsional vibration of the system will be at the centre of portion BC. A B D 20 mm 100 mm 20 mm

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The 140 mm long shaft shown in Figure 1 carries a two-gear wheel at each
end. The gear wheel connected on left end has a mass moment of inertia of
15 kgm?. Whereas the mass moment of inertia of the gear wheel connect at
right end of the shaft is 12 kgm?. The diameters of sections AB and BC of the
shaft are 20 mm and 50 mm, respectively. If the modulus of rigidity of the shaft
material is 80 GN/m, calculate the diameter of portion CD of the shaft that
ensures that the node of the torsional vibration of the system will be at the
centre of portion Bc.
A
20 mm
100 mm
20 mm
Transcribed Image Text:The 140 mm long shaft shown in Figure 1 carries a two-gear wheel at each end. The gear wheel connected on left end has a mass moment of inertia of 15 kgm?. Whereas the mass moment of inertia of the gear wheel connect at right end of the shaft is 12 kgm?. The diameters of sections AB and BC of the shaft are 20 mm and 50 mm, respectively. If the modulus of rigidity of the shaft material is 80 GN/m, calculate the diameter of portion CD of the shaft that ensures that the node of the torsional vibration of the system will be at the centre of portion Bc. A 20 mm 100 mm 20 mm
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