A yo$-$yo can be thought of a solid cylinder of mass $m=0\mathrm{.}2kg$ and radius $r=0\mathrm{.}1m$ that has a

light string wrapped around its circumference $($as illustrated below$).$ One end of the string is held fixed in space. If the cylinder falls as the string unwinds without slipping, what is the accelera!on of the cylinder? $($ Hint: $I_{\text{c}\text{y}\text{l}\text{i}\text{n}\text{d}\text{e}\text{r}}=\frac{1}{2}m{R}^2)$