A shaft having length equal to 10 m and diameter equal to 70mm is simply supported at both ends. The shaft carries four masses 170 kg, 220 kg, 270kg and 320 kg. These masses are located at a distance of 1.5 m, 2.5 m, 5.5 m and 7.5 m from the left hand side support, respectively. The modulus of elasticity, E, for the material of the shaft is 200 GN/m2 and mass density for the shaft material is 7500 kg/m3. Determine critical speed of the shaft in revolutions per minute for the following two cases:Effect of the mass of the shaft is neglected.Effect of the mass of the shaft is considered.What is the usefulness of the answers determined in this problem?

Answered: A shaft having length equal to 10 m and…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A shaft having length equal to 10 m and diameter equal to 70mm is simply supported at both ends. The shaft carries four masses 170 kg, 220 kg, 270kg and 320 kg. These masses are located at a distance of 1.5 m, 2.5 m, 5.5 m and 7.5 m from the left hand side support, respectively. The modulus of elasticity, E, for the material of the shaft is 200 GN/m² and mass density for the shaft material is 7500 kg/m³. Determine critical speed of the shaft in revolutions per minute for the following two cases:

Effect of the mass of the shaft is neglected.
Effect of the mass of the shaft is considered.

What is the usefulness of the answers determined in this problem?

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