$*$C$10-65$: A rod with a uniform mass density is initially at rest and begins to rotate with a constant angular acceleration of $1\mathrm{.}25ra\frac{d}{s^2}.$

$($a$)$ Using the parallel axis theorem, what is the moment of inertia of the rod of mass $m$ and length $L$ about the axis shown below? $($b$)$ What is the rotational kinetic energy of the rod at $t=3\mathrm{.}00s$ if its mass is $2\mathrm{.}50$ kg and its length is $0\mathrm{.}750$ m $?$

Answers: $($a$)($b$)$