## Three flywheels, no damping

### A 6^{th} order system with three modes of vibration

This system has three linked masses.

For mode 1 IC's → x_{1}(0)=90, x_{2}(0)=128,
x_{3}(0)=90, slowest frequency

For mode 2 IC's → x_{1}(0)=-128,
x_{2}(0)=0, x_{3}(0)=128, frequency 1.8 times faster
than mode 1

For mode 3 IC's → x_{1}(0)=90, x_{2}(0)=-128,
x_{3}(0)=90, frequency 2.4 times faster than mode 1