Going back to this slide, this schematic,

if I changed my 20k resistor to a 100 ohm resistor and

recalculate what the roots are, I now find that the roots are imaginary,

they're complex, where j is the square root of -1.

So this is the imaginary part versus the real part.

The smaller the value of R, then this gets to be low damping.

So as R is decreased, it's decreased to some value at which I have complex roots,

and then if I continue decreasing R, then my system has lower and lower damping.

So right here looking at the roots, complex roots means it's underdamped,

low values of R means that the imaginary part becomes

large with respect to the real part.

What is that happened with regard to the response that I see?