If the vertical rod has a downward velocity $v = 2.5 \, ft/sec$ and upward acceleration $a = 3.6 \, ft/sec^2$ when the device is in the position shown, determine:
(a) the corresponding angular acceleration $\alpha$ of bar AB
(b) the magnitude of the acceleration of roller B
Knowing that $\omega_{link} = 15.36 \, rad/sec$,
$v_B = 19.36 \, ft/sec$.
The value of R = 16 in.