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A Uniform Ladder 12 Meters Long Rests Against a Vertical θ=51\theta = 51 ^ { \circ }

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A uniform ladder 12 meters long rests against a vertical frictionless wall, as shown in the figure. The ladder weighs 400 N and makes an angle θ=51\theta = 51 ^ { \circ } with the floor. A man weighing 874 N climbs slowly up the ladder. When he is 78 m from the bottom of the Iadder, it just starts to slip. What is the coefficient of static friction between the floor and the ladder?
 A uniform ladder 12 meters long rests against a vertical frictionless wall, as shown in the figure. The ladder weighs  400 N and makes an angle  \theta = 51 ^ { \circ }  with the floor. A man weighing  874 N climbs slowly up the ladder. When he is  78 m from the bottom of the Iadder, it just starts to slip. What is the coefficient of static friction between the floor and the ladder?


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