Coupled Horizontal Spring Mass Oscillator

Coupled Oscillator Spring Mass Oscillator: State Space

Problem Statement

Two 4 Kg Weights are suspended between two walls. They are connected by a spring between them with a spring constant k2. They are connected to the walls by two springs k1 and k3 with k1=k3. m1 is a distance x1 form m2 and m2 is x2 from the wall.

Solution

Things we know

$m_{1}=4kg{\frac {}{}}$

$m_{2}=4kg{\frac {}{}}$

$k_{1}=50Nm{\frac {}{}}$

$k_{2}=100Nm{\frac {}{}}$

$k_{3}=50Nm{\frac {}{}}$