Laplace transforms: Under-damped Mass-Spring System on an Incline

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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). File:FBD

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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