Consider the mass-spring system shown in the figure below. Assume the natural frequency of the system is wn = 10 rad/s. The system is subject to a time-dependent force Fo cos (wt) N, where Fo = 0.3m N and w = 2wn rad/s (m: mass in kg). The system is subjected to initial displacement and velocity, i.e. ro = 10 mm and vo = 30 mm/s. The response of the system at t = 24 s is: Displacement x(t) F = Focos(wt) m 21.63 mm 5.77 mm 7.21 mm 3.61 mm 43.26 mm O 0000

Consider the mass-spring system shown in the figure below. Assume the natural frequency of the system is wn = 10 rad/s. The system is subject to a time-dependent force Fo cos (wt) N, where Fo = 0.3m N and w = 2wn rad/s (m: mass in kg). The system is subjected to initial displacement and velocity, i.e. ro = 10 mm and vo = 30 mm/s. The response of the system at t = 24 s is: Displacement x(t) F = Focos(wt) m 21.63 mm 5.77 mm 7.21 mm 3.61 mm 43.26 mm O 0000

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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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

Consider the mass-spring system shown in the figure below. Assume the natural frequency of the system is wn = 10 rad/s. The system is subject to a time-dependent force Fo cos (wt)
N, where Fo = 0.3m N and w = 2wn rad/s (m: mass in kg). The system is subjected to initial displacement and velocity, i.e. xo = 10 mm and vo = 30 mm/s. The response of the
system at t = 24 s is:
Displacement
x(t)
F = F,cos(wt)I
m
21.63 mm
5.77 mm
7.21 mm
3,61 mm
43.26 mm
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