A 6 m long uniform ladder leans against a frictionless wall, Physics

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A 6 m long uniform ladder leans against a frictionless wall

A 6 m long, uniform ladder leans against a frictionless wall and makes an angle of 67.3 with the floor. The ladder has a mass 21 kg. A 54.6 kg man climbs 82% of the way to the top of the ladder when it slips and falls to the floor. What is the coefficient of static friction between the ladder and the floor?

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