(Solved): The figure shows a four-bar mechanism. Link 2 rotates at constant angular velocity \( \omega_{2} \ ...

The figure shows a four-bar mechanism. Link 2 rotates at constant angular velocity \( \omega_{2} \). Determine \( \omega_{3} \) in rad/s using a moving coordinate system if \( \omega_{2} \) is \( 3 \mathrm{rad} / \mathrm{s} \mathbf{c c w} \). Indicate whether this value is clockwise or counterclockwise. Do not enter the units. Fo example, if the answer is \( 5 \mathrm{rad} / \mathrm{s} \) cw, enter only 5 and click the cw radio button. If the answer is \( 5 \mathrm{rad} / \mathrm{s} \) ccw, enter only 5 and click the ccw radio button. There is a \( 1 \% \) tolerance on the final answer so avoid rounding off intermediate answers. Give your final answer with up to 3 decimal points. \( \mathrm{O}_{2} \mathrm{~A}=152 \mathrm{r} \) \( \mathrm{O}_{2} \mathrm{O}_{4}=356 r \)