GATE Mechanical 2024 | Question: 44

Question

At the instant when $\text{OP}$ is vertical and $\text{AP}$ is horizontal, the link $\text{OD}$ is rotating counter clockwise at a constant rate $\omega=7 \mathrm{rad} / \mathrm{s}$. Pin $\mathrm{P}$ on link $\text{OD}$ slides in the slot $\text{BC}$ of link $\text{ABC}$ which is hinged at $\text{A}$, and causes a clockwise rotation of the link $\text{ABC}$. The magnitude of angular velocity of link $\text{ABC}$ for this instant is ______________$\mathrm{rad} / \mathrm{s}$ (rounded off to $2$ decimal places).