Coupled Oscillator: Jonathan Schreven

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Problem

In this problem we will explore the solution of a double spring/mass system under the assumption that the blocks are resting on a smooth surface. Here's a picture of what we are working with.

Equations of Equilibrium

Using F=ma we can then find our four equations of equilibrium.

Equation 1
Equation 2
Equation 3
Equation 4


Now we can put these four equations into the state space form.

Eigen Values

Eigen Vectors