A 5.00 meter long ladder, weighing 200 Newton, rests against a smooth vertical wall with its base on a horizontal rough floor, a distance1.2 meter away from the wall. The center of mass of the ladder is 2.5 meter from its base, and the coefficient of static friction between the floor and the ladder is .200. Compute how far up the ladder can a 600 N man climb before the ladder begins to slip?