GATE Mechanical Engineering (ME) 2019 Shift 1 Solved Paper

In a four bar planar mechanism shown in the figure, $\mathit{A}\mathit{B}=5\mathit{c}\mathit{m},\mathit{A}\mathit{D}=4\mathit{c}\mathit{m}$ and $\mathit{D}\mathit{C}=2\mathit{c}\mathit{m}$. In the configuration shown, both $\mathit{A}\mathit{B}$ and $\mathit{D}\mathit{C}$ are perpendicular to $\mathit{A}\mathit{D}$. The bar AB rotates with an angular velocity of $10\mathit{r}\mathit{a}\mathit{d}∕\mathit{s}$. The magnitude of angular velocity (in rad\/s) of bar DC at this instant is