4.11. A damped single degree of freedom mass-spring system is excited atresonance by a harmonic forcing function which has an amplitude of 40 N.The system has mass m of 3 kg, a stiffness coefficient k of 2700 N/m, anda damping coefficient c of 20 N · s/m. If the initial conditions are suchthat xo = 5 cm, and to = 0, determine the displacement, velocity, andacceleration of the mass after t = 0.2 s.

Given data:Force amplitude, Fo=40 Nmass of the system, m=3 kgStiffness coefficient, k=2700…

Answered: A damped single degree of freedom…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Q.4 A damped single degree of freedom mass-spring system is excited at resonance by a harmonic forcing function which has an amplitude of 40 N. The system has mass m of 3 kg, a stiffness coefficient k of 2700 N/m, and a damping coefficient c of 20 N·s/m. If the initial conditions are such that xo = 5 cm, and xo = 0, determine the displacement, velocity, and acceleration of the mass after t = 0.2 s.
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 fre- quency of the system, the amplitude of the steady state vibration becomes 1 mm. Determine the stiffness coefficient k and the damping factor š.

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