A light shaft supported in bearings at its ends carries a rotor of mass m at its mid span. When displaced laterally, the elastic restoring force due to flexure of the shaft is Kper unit deflection. If the centre of gravity of the beam is at a distance e from the axis of rotation when at rest, (a) show that the elastic deflection y of the shaft at mid span, at an angular velocity of is given by w²e y = {-w²} (b) Explain how the magnitude and direction of y change as oois increased from zero to higher values. (c) If e 0.25 mm and the whirling speed is 1000 rev/min, find the speed range over which the magnitude of y will exceed 1.30 mm.

A light shaft supported in bearings at its ends carries a rotor of mass m at its mid span. When displaced laterally, the elastic restoring force due to flexure of the shaft is Kper unit deflection. If the centre of gravity of the beam is at a distance e from the axis of rotation when at rest, (a) show that the elastic deflection y of the shaft at mid span, at an angular velocity of is given by w²e y = {-w²} (b) Explain how the magnitude and direction of y change as oois increased from zero to higher values. (c) If e 0.25 mm and the whirling speed is 1000 rev/min, find the speed range over which the magnitude of y will exceed 1.30 mm.

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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