Laplace transforms: Under-damped Mass-Spring System on an Incline
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Contents
1
Under-Damped Mass-Spring System on an Incline
1.1
Part 1 - Use Laplace Transformations
1.1.1
Problem Statement
1.1.2
Initial Conditions and Values
1.1.3
Equations of Equilibrium
1.1.4
Laplace Transform
1.1.5
Inverse Laplace Transform
1.1.6
Equation of Motion
1.2
Part 2 - Final and Initial Value Theorems
1.2.1
Initial Value Theorem
1.2.2
Final Value Theorem
1.3
Part 3 - Bode Plot
1.4
Part 4 - Breakpoints and Asymptotes on Bode Plot
Under-Damped Mass-Spring System on an Incline
Part 1 - Use Laplace Transformations
Problem Statement
Initial Conditions and Values
Equations of Equilibrium
Laplace Transform
Inverse Laplace Transform
Equation of Motion
Part 2 - Final and Initial Value Theorems
Initial Value Theorem
Final Value Theorem
Part 3 - Bode Plot
Part 4 - Breakpoints and Asymptotes on Bode Plot
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