A bob of heavy mass m is suspended by a light string of length l. The bob is given a horizontal velocity v_0 as shown in figure. If the string gets…

A bob of heavy mass $\displaystyle m$ is suspended by a light string of length $\displaystyle l$. The bob is given a horizontal velocity $\displaystyle v_0$ as shown in figure. If the string gets slack at some point $\displaystyle P$ making an angle $\displaystyle \theta$ from the horizontal, the ratio of the speed $\displaystyle v$ of the bob at point $\displaystyle P$ to its initial speed $\displaystyle v_0$ is: