A damped single degree of freedom mass–spring system has a mass m = 3 kg,a spring stiffness k = 2700 N/m, and a damping coefficient c = 18 N·s/m. Themass is subjected to a harmonic force which has an amplitude F0 = 20 N anda frequency ωf = 15 rad/s. The initial conditions are x0 = 4 cm, and x˙0 = 0.Determine the displacement, velocity, and acceleration of the mass after timet = 0.5 s. A damped single degree of freedom mass-spring system has a mass m =3 kg,a spring stiffness kmass is subjected to a harmonic force which has an amplitude Foa frequency wf = 15 rad/s. The initial conditions are xo2700 N/m, and a damping coefficient c =18 N.s/m. The20 N and4 cm, and io0.||Determine the displacement, velocity, and acceleration of the mass after timet = 0.5 s.

The equation for response of system for given damped forced vibration system after putting initial…

Answered: 3 kg, 18 N-s/m. The A damped single…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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A damped single degree of freedom mass–spring system has a mass m = 3 kg,
a spring stiffness k = 2700 N/m, and a damping coefficient c = 18 N·s/m. The
mass is subjected to a harmonic force which has an amplitude F0 = 20 N and
a frequency ωf = 15 rad/s. The initial conditions are x0 = 4 cm, and x˙0 = 0.
Determine the displacement, velocity, and acceleration of the mass after time
t = 0.5 s.

A damped single degree of freedom mass-spring system has a mass m =
3 kg,
a spring stiffness k
mass is subjected to a harmonic force which has an amplitude Fo
a frequency wf = 15 rad/s. The initial conditions are xo
2700 N/m, and a damping coefficient c =
18 N.s/m. The
20 N and
4 cm, and io
0.
||
Determine the displacement, velocity, and acceleration of the mass after time
t = 0.5 s.

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