A painter wishes to know whether or not he can safely stand on a ladder. The ladder has a mass M1 = 6.00 kg which is uniformly distributed throughout its length L = 6.60 m. The ladder is propped up at an angle θ = 73.0°. The coefficient of static friction between the ground and the ladder is μs = 0.178, and the wall against which the ladder is resting is frictionless. Calculate the maximum mass of the painter for which the ladder will remain stable when he climbs a distance d = 3.90 m up the ladder.
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