Answered: n order to reduce vibrations being…

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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In order to reduce vibrations being transmitted to the floor, a machine of mass m = 150kg is supported on 4 helical steel springs together with 4 dashpots which all act in parallel with each other. The stiffness of each spring is given by k1= 3.7 MN/m, and the damping coefficient of each dash-pot is given by c1 = 6.1kNs/m. To test how well the isolation system works, the machine is turned off and a shaker that produces a driving force of 100N at a frequency of 65 Hz is attached to the machine, causing it to vibrate. The mass of the shaker is negligible compared to the mass of the machine.

Use a phasor diagram to determine:

The displacement amplitude X of the machine,
The phase angle by which the driving force leads the displacement.

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