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A Ladder Is Extended to a Length of 8 M

question 27

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A ladder is extended to a length of 8 m.It rests against a smooth frictionless vertical wall at an angle of 55 degrees to the horizontal.The ladder has a mass of 30 kg,and its center of mass is three-eighths of the way up the ladder from the floor.If the coefficient of static friction between the ladder and the floor is 0.2,calculate how far a man of 80 kg can stand along the ladder without it slipping away at the floor.


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