A pendulum consists of a mass \(M\) hanging at the bottom end of a massless rod of length \(\ell\) which has a frictionless pivot at its top end. A mass \(m\), moving with velocity \(v\), impacts \(M\) and becomes embedded. In terms of the given variables and constants, what is the smallest value of \(v\) sufficient to cause the pendulum (with embedded mass \(m\)) to swing clear over the top of its arc?