$6.($Bonus$,5).$ A uniform square plate with a mass $\backslash ($ m$=5\backslash$mathrm$\{$~kg$\}\backslash )$ and sides measuring $0\mathrm{.}4$ m $,$ is supported by hinges to two massless links, each having a length of $0\mathrm{.}3$ m $.$ The links are rotating with an angular velocity of $\backslash (5\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}\backslash ).$

$($a$)$ Determine the kinetic energy of the system

$($b$)$ How would your answer change if the mass of each link was known to be $5$ kg $?$ Please show and explain the steps clearly. Thank you!