$1.(2$ pt$)$ The $200$ mm radius disk rolls without sliding on the surface shown. Knowing that the distance $\backslash ($ B G $\backslash )$ is $160$ mm and that at the instant shown the disk has an angular velocity of $\backslash (8\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}\backslash )$ counterclockwise and an angular acceleration of $\backslash (2\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}^\{2\}\backslash )$ clockwise, determine the acceleration of $\backslash ($ A $\backslash ).$

Figure $1$: Question $1$