(Solved): Determine the velocity and acceleration of the plate at the instant \( \theta=30^{\circ} \), if at ...

Determine the velocity and acceleration of the plate at the instant \( \theta=30^{\circ} \), if at this instant the circular cam is rotating about the fixed point \( O \) with an angular velocity \( \omega=4 \mathrm{rad} / \mathrm{s} \) and an angular acceleration \( \alpha=2 \mathrm{rad} / \mathrm{s}^{2} \). Ans. \[ \begin{array}{l} \mathrm{v}_{\mathrm{c}}=0.416 \mathrm{~m} / \mathrm{s} \\ \mathrm{a}_{\mathrm{c}}=0.7 \Omega 2 \mathrm{~m} / \mathrm{s} \end{array} \]