Figure Q9 shows part of a system with many degrees of freedom. Write the equation of motion for mn. Specify the assumptions that you may need to consider in determining the relative displacements and subsequent spring forces. Kn-1 Fn-1 mn-1 Kn mn Kn+1 Fn Mn+1 Kn+2 --- ..

Figure Q9 shows part of a system with many degrees of freedom. Write the equation of motion for mn. Specify the assumptions that you may need to consider in determining the relative displacements and subsequent spring forces. Kn-1 Fn-1 mn-1 Kn mn Kn+1 Fn Mn+1 Kn+2 --- ..

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

Figure Q9 shows part of a system with many degrees of freedom. Write
the equation of motion for m₂. Specify the assumptions that you may
need to consider in determining the relative displacements and
subsequent spring forces.
■ ■ ■
Kn-1
i
M
Fn-1
Kn
Juny
mn-1
mn
kn+1
Fn
mn+1
Kn+2
n

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