Pure rolling-1!

Classical Mechanics Level 4

A uniform disc of mass \(m\) and radius \(R\) is projected horizontally with velocity \(v_0\) on a rough horizontal floor so that it starts off with a purely sliding motion at \(t = 0\). After \(\large t_0 = \frac{v_0}{nμg}\) second, it acquires a purely rolling motion. Find the value of \(n\).