A uniform chain of inertia \(m\) and length \(\ell\) is lying on a slippery table. When just the tip hangs over the edge, the chain begins to slip off. (Ignore friction.) Calculate the speed of the chain as a function of time. (\(\int \frac{d x}{r}=\int d t\). What's the connection between \(x\) and \(v\) ?)