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A damped single degree of freedom mass-spring system is excited at resonance by a harmonic forcing function which has an amplitude of 80N. It was observed that the steady state amplitude of the forced vibration is 6 mm. It was also observed that when the frequency of excitation is three times the natural frequency of the system, the amplitude of the steady state vibration becomes 1 mm. Determine the stiffness coefficient k and the damping factor .

A damped single degree of freedom mass-spring system is excited at resonance by a harmonic forcing function which has an amplitude of 80N. It was observed that the steady state amplitude of the forced vibration is 6 mm. It was also observed that when the frequency of excitation is three times the natural frequency of the system, the amplitude of the steady state vibration becomes 1 mm. Determine the stiffness coefficient k and the damping factor .

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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4.12. A damped single degree of freedom mass-spring system is excited at resonance by a harmonic forcing function which has an amplitude of 80 N. It was observed that the steady state amplitude of the forced vibration is 6 mm. It was also observed that when the frequency of excitation is three times the natural frequency of the system, the amplitude of the steady state vibration becomes 1 mm. Determine the stiffness coefficient k and the damping factor 5.
Transcribed Image Text:4.12. A damped single degree of freedom mass-spring system is excited at resonance by a harmonic forcing function which has an amplitude of 80 N. It was observed that the steady state amplitude of the forced vibration is 6 mm. It was also observed that when the frequency of excitation is three times the natural frequency of the system, the amplitude of the steady state vibration becomes 1 mm. Determine the stiffness coefficient k and the damping factor 5.
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