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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff158ab4f-495f-4184-a88f-3f9eb3948f90%2Fb33f3089-063a-405c-a901-cdddb65da526%2Fjv5l0d8_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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