Problem

A ladder of mass M and length L = 4.00 m is on a level floor leaning against a vertical wa...

A ladder of mass M and length L = 4.00 m is on a level floor leaning against a vertical wall. The coefficient of static friction between the ladder and the floor is μs = 0.600, while the friction between the ladder and the wall is negligible. The ladder is at an angle of θ = 50.0° above the horizontal. A man of mass 3M starts to climb the ladder. To what distance up the ladder can the man climb before the ladder starts to slip on the floor?

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