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A uniform stationary ladder of length L = 4.5 m and mass M = 14 kg leans against a smooth vertical wall, while its bottom legs rest on a rough horizontal floor. The coefficient of static friction between floor and ladder is μ = 0.36. The ladder makes an angle θ = 59o with respect to the floor. A painter of weight 8M stands on the ladder a distance d from its base.
Randomized Variables
L = 4.5 m
M = 14 kg
μ = 0.36
θ = 59o
Magnitude = 1236.
What is the largest distance up the ladder dmax, in meters, that the painter can stand without the ladder slipping?
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