Consider the stability of a ladder of mass m and length L leaning against a wall. A painter wants to be sure the ladder will not slip across the floor. He knows that the frictional force exerted by the floor on the bottom end of the ladder is needed to keep the ladder in equilibrium, and he also knows that the coefficient of static friction between the ladder and the floor is μSf = 0.80. Assume there is friction between the vertical wall and the ladder, with μSw = 0.28.
Find the angle at which the ladder just begins to slip.
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