$1$ Points$]$ OSUNIPHYS$111\mathrm{.}2.$WA$\mathrm{.}014.$TUTORIAL.

The diagram shows a thin rod of uniform mass distribution pivoted about one end by a pin passing through that point. The mass of the rod is $0\mathrm{.}720$ kg and its length is $1\mathrm{.}29$ m $.$ When the rod is released from its horizontal position, it swings down to the vertical position as shown.

What is the angular momentum of the center of mass of the rod about the pin when the rod has rotated through an angle $=22\mathrm{.}5?$ We use the standard rectangular coordinate system with $+x$ axis to the right, $+y$ axis ertically up$,$ and $+z$ axis out toward you. $($Express your answer in vector form.$)$