A uniform rod of length 2$l$ and mass m is suspended from one end by inextensible string and other end lies on smooth ground. The angle made by rod with vertical is  $\theta ={\sin }^{-1}\left(\frac{1}{\sqrt{3}}\right)$. If  $N_1$ and $N_2$ represents the contact force from ground on rod just before and just after cutting string then find the ratio of $N_1/N_2.$