The two rotors a and b are attached to the end of a shaft 500 mm long. the mass of the rotor a is 300 kg and its radius of gyration is 300 mm. the corresponding values of the rotor b are 500 kg and 450 mm respectively. the shaft is 70 mm in diameter for the first 250 mm ; 120 mm for the next 70 mm and 100 mm diameter for the remaining length. the modulus of rigidity for the shaft material is 80 gn/m2. find : 1. the position of the node, and 2. the frequency of torsional vibration.
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3. the two rotors a and b are attached to the end of a shaft 500 mm long. the mass of the rotor a is 300 kg and its radius of gyration is 300 mm. the corresponding values of the rotor b are 500 kg and 450 mm respectively. the shaft is 70 mm in diameter for the first 250 mm ; 120 mm for the next 70 mm and 100 mm diameter for the remaining length. the modulus
Question: 3. The Two Rotors A And B Are Attached To The End Of A Shaft 500 Mm Long. The Mass Of The Rotor A Is 300 Kg And Its Radius Of Gyration Is 300 Mm. The Corresponding Values Of The Rotor B Are 500 Kg And 450 Mm Respectively. The Shaft Is 70 Mm In Diameter For The First 250 Mm ; 120 Mm For The Next 70 Mm And 100 Mm Diameter For The Remaining Length. The Modulus
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Answer - Given data - Now let the dia of torsionally equivalent…View the full answer

Transcribed image text: 3. The two rotors A and B are attached to the end of a shaft 500 mm long. The mass of the rotor A is 300 kg and its radius of gyration is 300 mm. The corresponding values of the rotor B are 500 kg and 450 mm respectively. The shaft is 70 mm in diameter for the first 250 mm ; 120 mm for the next 70 mm and 100 mm diameter for the remaining length. The modulus of rigidity for the shaft material is 80 GN/m”. Find : 1. The position of the node, and 2. The frequency of torsional vibration [Ans. 225 mm from A : 27.3 Hz
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