Coupled Oscillator: Jonathan Schreven

Coupled Oscillator System

In this problem I would like to explore the solution of a double spring/mass system under the assumption that the blocks are resting on a smooth surface. Our system might look something like this.

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

$F=ma$

$F=m{\ddot {x}}$

$-k_{1}x_{1}-k-{2}(x_{1}x_{2})=m{\ddot {x}}$