04/A/ The mechanical system consists of two bodies of mass 1 on three springs of the same spring constant k and of negligibly small masses of the springs. Also damping is assumed to be practically zero. Then the model of the physical system is the system of ODES. -ky₁+k(y2 - Y₁) y" 2² -k(y2-y₁)-k y₂ We shall determine the solution corresponding to the initial conditions y₁ (0) = 1, y₂ (0) = 1, y'₁ (0) = √3k, and y'₂ (0) = -√3k. Use the Laplace transform method to find y₁ (t) 2 and y₂ (t). y"₁ 1 =

04/A/ The mechanical system consists of two bodies of mass 1 on three springs of the same spring constant k and of negligibly small masses of the springs. Also damping is assumed to be practically zero. Then the model of the physical system is the system of ODES. -ky₁+k(y2 - Y₁) y" 2² -k(y2-y₁)-k y₂ We shall determine the solution corresponding to the initial conditions y₁ (0) = 1, y₂ (0) = 1, y'₁ (0) = √3k, and y'₂ (0) = -√3k. Use the Laplace transform method to find y₁ (t) 2 and y₂ (t). y"₁ 1 =

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 31E

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