A window washer weighing 774.8 N is standing on a scaffold supported by a vertical rope at each end. The scaffold weighs 298.5 N and is 3.352 m long. What is the force in each rope when the window washer stands 1.55 m from one end? Force in Rope 1 (Rope closest to window washer.) Force in Rope 2 (Rope farthest from window washer.)
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Rope 1 = T1 (298.5 x (3.352/2)) + (774.8 x (3.352 - 1.55)) = 1896.48 1896.48 = 3.352 x T1 1896.48/3.352 = T1 = 565.77 N Rope 2 = T2 (298.5 x (3.352/2)) + (774.8 x 1.55) = 1701.23 1701.23 = 3.352 x T2 1701.23/3.352 = T2 = 507.53 N
