In the figure, a uniform ladder 12 meters long rests against a vertical friction

Question

In the figure, a uniform ladder 12 meters long rests against a vertical frictionless wall. The ladder weighs 400 N and makes an angle ?, of 66

In the figure, a uniform ladder 12 meters long rests against a vertical frictionless wall. The ladder weighs 400 N and makes an angle ?, of 66 degree with the floor. A man weighing 884 N climbs slowly up the ladder When he has climbed to a point that is 7.8 m from the base of the ladder, the ladder starts to slip. What is the coefficient of static friction between the floor and the ladder?

Explanation / Answer

Balancing the Moments about the Lower Point

u*(400+884)*Sin(66 degree)*12 = 884*7.8*Sin(90+66) + 6*400*Sin(90+66)

u = 0.268

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