Problem No. 5 A rotating shaft carries four masses A, B, C and D rigidly attached to it; the centers of mass are at 30 mm, 36 mm, 39 mm and 33 mm respectively from the axis of rotation. The masses are 7.5 kg, mB, 5 kg and 4 kg respectively. The axial distance between A and B is 0.4 m, that between B and C is 0.5 m and the axial distance between C and D is H meters. The eccentricities of A and C are at 90° to one another. If the shaft is to be balanced completely, find mB, H and the angular positions of the masses B and D.

Problem No. 5 A rotating shaft carries four masses A, B, C and D rigidly attached to it; the centers of mass are at 30 mm, 36 mm, 39 mm and 33 mm respectively from the axis of rotation. The masses are 7.5 kg, mB, 5 kg and 4 kg respectively. The axial distance between A and B is 0.4 m, that between B and C is 0.5 m and the axial distance between C and D is H meters. The eccentricities of A and C are at 90° to one another. If the shaft is to be balanced completely, find mB, H and the angular positions of the masses B and D.

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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Question

Problem No. 5
A rotating shaft carries four masses A, B, C and D rigidly attached to it; the centers of mass are
at 30 mm, 36 mm, 39 mm and 33 mm respectively from the axis of rotation. The masses are 7.5
kg, mB, 5 kg and 4 kg respectively. The axial distance between A and B is 0.4 m, that between B
and C is 0.5 m and the axial distance between C and D is H meters. The eccentricities of A and C
are at 90° to one another.
If the shaft is to be balanced completely, find mB, H and the angular positions of the masses B and
D.

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