The ladder and the person weigh 30 lb and 180 lb, respectively. The center of mass of the 12-ft ladder is at its midpoint.
The angle α = 30°. Assume that the wall exerts a negligible friction force on the ladder.
(a) If x = 4 ft, what is the magnitude of the friction force exerted on the ladder by the floor?
(b) What minimum coefficient of static friction between the ladder and the floor is necessary for the person to be able to climb to the top of the ladder without slipping?
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