In the figure, a ladder of mass m is shown leaning against a wall. It is in static equilibrium making an angle $$\theta$$ with the horizontal floor. The coefficient of friction between the wall and the ladder is $$\mu_1$$ and that between the floor and the ladder is $$\mu_2$$. The normal reaction of the wall on the ladder is $$N_1$$ and that of the floor is $$N_2$$. If the ladder is about to slip, then