A horizontal $2\mathrm{.}00-$m long, $5\mathrm{.}00-$kg uniform beam that lies along the east$-$west direction is acted on by two forces. At the east end of the beam, a $200-$N forces pushes downward. At the west end of the beam, a $200-$N force pushed upward. What is the angular acceleration of the beam?

Group of answer choices

$240$ rad$/$s $2$south

$1\mathrm{.}33102$rad$/$s $2$south

$1\mathrm{.}33102$rad$/$s $2$north

$240$ rad$/$s $2$north

zero