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Tension in Rope and Reaction Forces for a Leaning Ladder Scenario

A 20 kg ladder leans against a frictionless wall at a 60-degree angle, with its base 6.0 m from the wall. A rope tied horizontally 0.5 m up from the ladder's base holds it in place. When a 72 kg plasterer climbs 3/4 up the ladder and stops, calculations are needed to determine the tension in the rope and the reactive forces at the wall and floor. This problem involves concepts of static equilibrium and tension in physics.

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Tension in Rope and Reaction Forces for a Leaning Ladder Scenario

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  1. A 12.0 m ladder, whose mass is 20 kg, is leaning against a wall , with its base 6.0 m from the wall and at a slope of 60 degrees to the floor. Because both the wall and floor are frictionless, a rope is tied horizontally 0.5 m from the bottom of the ladder to the wall. A 72 kg plasterer climbs 3/4 of the way up the ladder and stops. What is the tension in the rope and what are the reactive forces at the wall and the floor?

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