An 18.5 kg person climbs up a uniform ladder with negligible mass. The upper end of the ladder rests on a frictionless w

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An 18.5 kg person climbs up a uniform ladder with negligible mass. The upper end of the ladder rests on a frictionless w

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An 18.5 kg person climbs up a uniform ladder with negligiblemass. The upper end of the ladder rests on a frictionless wall. Thebottom of the ladder rests on a floor with a rough surface wherethe coefficient of static friction is 0.4 . The angle between thehorizontal and the ladder is θ . The person wants to climb up theladder a distance of 1.5 m along the ladder from the ladder’s foot.18.5 kg 1.5 m 2 m θ b µ = 0.4 µ = 0 What is the minimum angle θmin(between the horizontal and the ladder) so that the person canreach a distance of 1.5 m without having the ladder slip? Theacceleration of gravity is 9.8 m/s 2 . Answer in units of◦
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