Disk A is rolling without slipping along the $30$ incline. It is rotating counterclockwise at a rate of $=8\frac{\text{r}\text{a}\text{d}}{s}$ but slowing down at a rate of $=2\frac{\text{r}\text{a}\text{d}}{s^2}.$ Determine, at this instant, the angular velocity and angular acceleration of link $AB,$ and the velocity and acceleration of particle B$.$ Use purely relative and absolute motion analyses to solve this problem. Use $=20.$

Ans: ${}_{AB}=1\mathrm{.}4189\frac{\text{r}\text{a}\text{d}}{s}CCW,V_B=1\mathrm{.}0945\frac{(m)}{(s)}$larr,${}_{AB}=0\mathrm{.}3781\frac{\text{r}\text{a}\text{d}}{s^2}CCW,a_B=1\mathrm{.}5591\frac{(m)}{s^2}$