Laplace Transforms: Vertical Motion of a Coupled Spring System: Difference between revisions
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=Problem Statement= |
=Problem Statement= |
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[[Image:Figure1.gif|thumb|Figure 1. Coupled Spring System.]]Derive the system of differential equations describing the straight-line vertical motion of the coupled spring shown in Figure 1. Use Laplace transform to solve the system when <math>k_1=k_2=k_3=1</math>, <math>m_1=m_2=1</math>, and <math>x_1(0)=0</math>, <math>x'1(0)=-1</math>, <math>x_2(0)=0</math>, and <math>x'_2(0)=1</math>. |