Laplace Transforms: Vertical Motion of a Coupled Spring System: Difference between revisions
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(New page: =Problem Statement= 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 sy...) |
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=Problem Statement= |
=Problem Statement= |
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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 k1=k2=k3=1, m1=m2=1, and x1(0)=0, x'1(0)=-1, x2(0)=0, and x'2(0)=1.[[1]] |
[[File:Figure1.gif|thumb|100px|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 k1=k2=k3=1, m1=m2=1, and x1(0)=0, x'1(0)=-1, x2(0)=0, and x'2(0)=1.[[1]] |
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Revision as of 01:54, 2 November 2009
Problem Statement
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 k1=k2=k3=1, m1=m2=1, and x1(0)=0, x'1(0)=-1, x2(0)=0, and x'2(0)=1.1