3 kN/m3 kN/m2 kNm2 kNmww80 N.3 kN/m3 kN/mww-60 N-wwwThe equilibrium equations of the blocks in the spring-block system are3(x2 – x1) – 2.x1 = -803(x3 – x2) – 3(x2 – x1) = 03(x4 – x3) – 3(x3 – x2) = 0%3D3(x5 – x4) – 3(x4 – x3) = 60%3D-2.x5 – 3(x5 – x4) = 0where xi are the horizontal displacements of the blocks measured in mm.Solve these equations by the Gauss-Seidel method.Start with x = 0 and iterate until four-figure accuracy after the decimal point is achieved.

Answered: Image /qna-images/answer/58647389-78eb-446b-8cac-c83ac678c31a.jpg

The equilibrium equations of the blocks in the spring-block system are 3(x2 – x1) – 2x1 = -80 3(x3 – x2) – 3(x2 – x1) = 0 3(x4 – x3) – 3(x3 – x2) = 0 - 3(x3 – x4) – 3(x4 – x3) = 60 - - - -2.x5 – 3(x5 – x4) = 0 where xi are the horizontal displacements of the blocks measured in mm. Solve these equations by the Gauss-Seidel method. Start with x = 0 and iterate until four-figure accuracy after the decimal point is achieved.

The equilibrium equations of the blocks in the spring-block system are 3(x2 – x1) – 2x1 = -80 3(x3 – x2) – 3(x2 – x1) = 0 3(x4 – x3) – 3(x3 – x2) = 0 - 3(x3 – x4) – 3(x4 – x3) = 60 - - - -2.x5 – 3(x5 – x4) = 0 where xi are the horizontal displacements of the blocks measured in mm. Solve these equations by the Gauss-Seidel method. Start with x = 0 and iterate until four-figure accuracy after the decimal point is achieved.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 65EQ

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