The spring-mass system shown in Figure
is initially at rest. If mass $m$ is excited by
a sinusoidal force $p(t) = P \sin \omega t$, what is the response $x(t)$? Assume that
$m = 1 \text{ kg}$, $k = 100 \text{ N/m}$, $P = 5 \text{ N}$, and $\omega = 2 \text{ rad/s}$. The displacement $x(t)$ is measured
from the equilibrium position before the force $p(t)$ is applied.
