Q:A man of mass 74.4 kg stands on a scaffold supported by a vertical rope at each end. The scaffold has a mass of 21.9 kg and is 3.9 m long. Suppose the man stands to the right from the middle of the scaffold that is a distance one sixth of the length of the scaffold. What is the tension in the right rope? b) What is the tension in the left rope? thanks in advance.

Left rope = T1 Right rope = T2 1/6 of 3.9 m = 0.65 m 3.9/2= 1.95 1.95 - 0.65 = 1.3 m from right rope. Take g = 10m/s^2 T1 = ((219 x 3.9)/2) + (744 x 1.3) = 1394.25 1394.25 = 3.9 x T1 1394.25/3.9 = T1 = 357.5 N (answer for left rope) T2 = ((219 x 3.9)/2) + (744 x (3.9 -1.3)) = 2361.45 2361.45 = 3.9 x T2 2361.45/3.9 = T2 = 605.5 N (answer for right rope)

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