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
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY