$11\mathrm{.}26-$ Rolling Motion

Points:$1$

A yo$-$yo can be thought of a solid cylinder of mass $m$ and radius $r$ that has a light string wrapped around its circumference $($see below$).$ One end of the string is held fixed in space. If the cylinder falls as the string unwinds without slipping, find an expression for the acceleration of the cylinder? Your expression should be in terms of the given variable$\_$and any other known constants such as acceleration due to gravity, $g.$

$|)/($ Tries$\frac{0}{5}$