The four particles shown below are connected by rigid rods of negligible mass where $y_1=5\mathrm{.}90m.$ The origin is at the center of the rectangle. The system rotates in the $xy$ plane about the $z$ axis with an angular speed of $5\mathrm{.}40ra\frac{d}{s}.$

$($a$)$ Calculate the moment of inertia of the system about the $z$ axis.

$kg*m^2$

$($b$)$ Calculate the rotational kinetic energy of the system.

J