Magnitude of 23N harmonic force is acting on an undamped system with mass of 10kg and stiffness of 1000N/m. The harmonic force frequency is twice the system natural frequency, and initial condition given by x₁=0 and vo= 0.2m/s. Obtain the equation of motion for the system. 3 /WWW Fcosot X

Magnitude of 23N harmonic force is acting on an undamped system with mass of 10kg and stiffness of 1000N/m. The harmonic force frequency is twice the system natural frequency, and initial condition given by x₁=0 and vo= 0.2m/s. Obtain the equation of motion for the system. 3 /WWW Fcosot X

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

Magnitude of 23N harmonic force is
acting on an undamped system with
mass of 10kg and stiffness of 1000N/m.
The harmonic force frequency is twice
the system natural frequency, and
initial condition given by Xo=0 and v₁=
0.2m/s. Obtain the equation of motion
for the system.
3
Fcoset
X

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