Laplace transforms: Under-damped Mass-Spring System on an Incline: Difference between revisions
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[[User:Brandon.plubell|Brandon.plubell]] 05:44, 26 October 2009 (UTC) |
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=Under-Damped Mass-Spring System on an Incline= |
=Under-Damped Mass-Spring System on an Incline= |
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===Problem Statement=== |
===Problem Statement=== |
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Find the equation of motion for the mass in the system subjected to the forces shown in the Free Body Diagram (FBD). |
Find the equation of motion for the mass in the system subjected to the forces shown in the Free Body Diagram (FBD). |
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[[Image: |
[[Image:Setup.jpg|300px]] |
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===Initial Conditions and Values=== |
===Initial Conditions and Values=== |
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A is the area of the box in contact with the surface; g is the gravitational acceleration field constant; b<sub>t</sub> is the thickness of the fluid covering the surface |
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===Equations of Equilibrium=== |
===Equations of Equilibrium=== |
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[[Image: |
[[Image:FBD.jpg|300px]] |
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===Laplace Transform=== |
===Laplace Transform=== |
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Revision as of 22:44, 25 October 2009
Brandon.plubell 05:44, 26 October 2009 (UTC)
Under-Damped Mass-Spring System on an Incline
Part 1 - Use Laplace Transformations
Problem Statement
Find the equation of motion for the mass in the system subjected to the forces shown in the Free Body Diagram (FBD).
Initial Conditions and Values
A is the area of the box in contact with the surface; g is the gravitational acceleration field constant; bt is the thickness of the fluid covering the surface
Equations of Equilibrium
