14. Derive the system of differential equations describing thestraight-line vertical motion of the coupled springs shown inequilibrium in FIGURE 4.6.4. Use the Laplace transform to solvethe system when k = 1, k, = 1, kz = 1, m, = 1, m, = 1 andx¡(0) = 0, x{(0) = -1, x,(0) = 0, x;(0) = 1.%3DXj = 0-X2 = 0FIGURE 4.6.4 Coupled springs in Problem 14

Given: k1=1, k2=1, k3=1, m=1,m2=1 and r2(0)=0, r2'=1 The equation of verification of two masses are…

Answered: I motion of the c E 4.6.4. Use the L =…

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Mechanical Engineering

I motion of the c E 4.6.4. Use the L = 1, kz = 1, k3 –1, x2(0) = 0, x½- %3D

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 undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

Question

14. Derive the system of differential equations describing the
straight-line vertical motion of the coupled springs shown in
equilibrium in FIGURE 4.6.4. Use the Laplace transform to solve
the system when k = 1, k, = 1, kz = 1, m, = 1, m, = 1 and
x¡(0) = 0, x{(0) = -1, x,(0) = 0, x;(0) = 1.
%3D
Xj = 0-
X2 = 0
FIGURE 4.6.4 Coupled springs in Problem 14

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