In figure, a massive \( \operatorname{rod} A B \) is held in horizontal position by two massless...

In figure, a massive \( \operatorname{rod} A B \) is held in horizontal position by two massless strings. If the string at \( B \) breaks and if the horizontal acceleration of centre of mass, vertical acceleration and angular acceleration of rod about the centre of mass are \( a_{x}, a_{y} \) and \( \alpha \), respectively, then
(1) \( 2 \sqrt{3} a_{y}=\sqrt{3} \alpha l+2 a_{x} \)
(2) \( \sqrt{3} a_{y}=\sqrt{3} \alpha l+a_{x} \)
(3) \( a_{y}=\sqrt{3} \alpha l+2 a_{x} \)
(4) \( 2 a_{y}=\alpha l+2 \sqrt{3} a_{x} \)