A steel bar is pinned at $A$ and rotating at constant angular velocity $\displaystyle{\omega _{A}}$ $= 2$ $rad/s$ in the vertical plane. A brass collar of mass $m= 2$ $kg$ is located $0.6$ $m$ away from the pin and is moving along the bar with relative velocity $\displaystyle{v_{B{\verb/}A}}$$= 8$ $m/s$ to the right. The coefficient of friction between the bar and the mass is $0.05$. Find the relative acceleration, $\displaystyle{\left(a_{B{\verb/}A}\right)_{xyz}}$ of the collar with respect to the bar (in $m/$$\displaystyle{s^{2}}$). Use $g = 10$ $m/$$\displaystyle{s^{2}}$. Hint: Write both the dynamic equations of motion and kinematic equations to solve this problem. $\displaystyle{\left(a_{B{\verb/}A}\right)_{xyz}}$ = $m/s^2$