by uency of the harmonic force coinc: and stiffness of an absorber that w quency of 10 Hz, if the amplitude rved to be 0.1 × 8 cm. chine part is operated in the speed: n of vibration absorber in Q3(c) is s
by uency of the harmonic force coinc: and stiffness of an absorber that w quency of 10 Hz, if the amplitude rved to be 0.1 × 8 cm. chine part is operated in the speed: n of vibration absorber in Q3(c) is s
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
![A mass of flexible machine part, m, of 10 ×10 kg was observed to vibrate badly at frequency
of 10 Hz. The vibration was caused by the application of a harmonic force, F of 10 ×15 N to
the flexible part. A judgment was made by a mechanical engineer that the vibration was
excessive because the frequency of the harmonic force coincides with the natural frequency
of the flexible part.
(c)
Analyze the mass and stiffness of an absorber that would eliminate vibrations of the
flexible part at frequency of 10 Hz, if the amplitude motion of the absorber mass, Xa
at 10 Hz was observed to be 0.1 × 8 cm.
(d)
If the flexible machine part is operated in the speed range of 500 to 750 rpm, justify
whether the design of vibration absorber in Q3(c) is safe to be used or not.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01b5aaa7-b194-4d05-9d6e-fe09e5ba9594%2Fd1781c78-b80b-4053-a648-a6408a400bd2%2Fle80g9h_processed.png&w=3840&q=75)
Transcribed Image Text:A mass of flexible machine part, m, of 10 ×10 kg was observed to vibrate badly at frequency
of 10 Hz. The vibration was caused by the application of a harmonic force, F of 10 ×15 N to
the flexible part. A judgment was made by a mechanical engineer that the vibration was
excessive because the frequency of the harmonic force coincides with the natural frequency
of the flexible part.
(c)
Analyze the mass and stiffness of an absorber that would eliminate vibrations of the
flexible part at frequency of 10 Hz, if the amplitude motion of the absorber mass, Xa
at 10 Hz was observed to be 0.1 × 8 cm.
(d)
If the flexible machine part is operated in the speed range of 500 to 750 rpm, justify
whether the design of vibration absorber in Q3(c) is safe to be used or not.
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