Question
For this pulley system, I need to meet two requirements: the first is that the final tension of the cable going to the left must
For this pulley system, I need to meet two requirements: the first is that the final tension of the cable going to the left must be 120 N (?), and the other requirement is that it must have a weight of 30 N (?) hanging on the right side. In my scheme, pulleys A, C, and E are fixed, and pulleys B and D are movable. Segments 1 and 2 have a tension of 120 N, segments 3 and 4 have a tension of 60 N, and segments 5 and 6 have a tension of 30 N. The pulley found before segment 1 is fixed and only changes the direction of the cable. My logic in creating this scheme was that fixed pulleys are used to change the direction of the force without changing its magnitude, while movable pulleys reduce the force necessary to lift a weight, dividing the load among the rope segments that support the movable pulley. But it seems I made a mistake in adjusting the arrangement between the pulleys and the cable, and the mechanical advantage should be 1:4, besides that the tension is constant throughout the rope. Could you help me to correct my pulley scheme? As I mentioned before, the initial tension must be 120 N (?) and the weight at the right end must be 30 N (?). Aside from this, the scheme I have can be freely modified. For my better understanding, could you explain mathematically each pulley along with a free body diagram that represents each pulley individually?
A C 4 2 E 13 B S 4 6 T = 120 N D W w = 30 NStep by Step Solution
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