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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 31E

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3. Obtain the displacement vector (x) from the 3 mass 4 spring system equation given below using Gauss-Seidel method
for 10 iterations. Tabulate the results.
A₁ + [(k1+k2)/m1] x1 = (k2/m1) x2
A2+ [(k2+k3)/m2] x2 = (k2/m2) x1 + (k3/m2) x3
A3+ [(k4+k3)/m3] x3 = (k3/m3) x2
Where kl = k2= 10.75N/m, k3= k4 = 38.25N/m, m1 to m4 = 1.8Kg and the acceleration A3, A2 and A1 are 9.95, 8.85 and 7.75
m/s2 respectively.
X1
X2
X3

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