$(2$ pts$)$ Problem $2$:

For the following system, the system parameters are given by: $M=10kg,b=200N\frac{s}{m},$ and $k=1600\frac{N}{m}.$ The applied force on the system is: $p(t)=5sin(20t).$ Find:

$1-(1$ pt$)$ The steady$-$state amplitude and the phase

$2-(1$ pt$)$ The frequency at the maximum amplitude $($resonance frequency$)$ and its amplitude