DYNAMICS MECHANICAL ENGINEERING

In a simple mechanism design, the horizontal motion of the piston rod CD of the hydraulic cylinder is used to control the rotation of link $AB$ about $A$ in a limited range through the connecting rod $BC$ as shown in Figure Q$3.$ At the instant shown where $AB$ is horizontal, the piston retracts at a constant rate of $5\mathrm{.}6\frac{m}{s}.$ Given the angular velocity of link $AB$ and $BC$ is $20$rad$/$s $($clockwise$)$ and $28$rad$/$s$($counter clockwise$)$; respectively, determine at this instant, the angular acceleration of link $AB$ and $BC.$

$(5$ marks$)$

$($PLEASE REFER TO THE FIGURE GIVEN AND DRAW FREE BODY DIAGRAM TO SOLVE THIS QUESTION $)$ THANKS