A uniform plank \(6.0\text{ m}\) long and weighing \(300\text{ N}\) rests horizontally on two trestles, \(A\) and \(B\). Trestle \(A\) is \(1.0\text{ m}\) from the left end and trestle \(B\) is \(2.0\text{ m}\) from the right end. A painter weighing \(600\text{ N}\) walks along the plank from \(A\) towards the right end.



How far from the left end can the painter walk before the plank begins to tip?