A window washer is standing on a scaffold supported by a vertical rope at each end. The scaffold weighs 210 N and is 3.30 m long. What is the tension in each rope when the 690 N worker stands 2.30 m from one end?
______ N (smaller tension)
______ N (larger tension)A window washer is standing on a scaffold supported by a vertical rope at each end. The scaffold weighs 210 N?
assuming the scaffold is uniform weight, take moments around 1 end to get the tension in the rope of the other
the 鈭慚 = 0, take the rope tension direction as positive
690 x 2.3 + 210 x (3.3 / 2) = T1 x 3.3
T1 = 586N
Now moments around the other end
690 x (3.3-2.3) + 210 x (3.3/2) = T2 x 3.3
T2 = 314N
You can check your answers as 鈭慒 = 0, so
586 + 314 - 210 - 690 = 0
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