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A ladder of uniform density and mass m rests against a frictionless vertical wall, making an angle of 60.0 with the horizontal. The lower end

A ladder of uniform density and mass m rests against a frictionless vertical wall, making an angle of 60.0° with the horizontal. The lower end rests on a flat surface where the coefficient of static friction is μs = 0.400. A window cleaner with mass M = 2m attempts to climb the ladder. What fraction of the length L of the ladder will the worker have reached when the ladder begins to slip?

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