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Thread: Tension with Vectors

  1. #1
    Sky is offline
    Mar 2011

    Question Tension with Vectors

    I have currently run across a problem that I have no idea how to solve. Here is the question:

    Two cranes that are directly opposite of each other are used to lift a 20000 lb cargo container from a ship. The cable of Crane I creates an angle of 30 degrees from the horizontal and the cable of Crane II creates an angle of 45 degrees from the horizontal.

    Write vectors representing the tension of the cable of Crane I, Crane II, the 20000 lb cargo container, and calculate the tension on both cables.

    I have no idea where to start, but I managed to draw a (rude) diagram:

    Help would be greatly appreciated!
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  2. #2
    MHF Contributor
    skeeter's Avatar
    Jun 2008
    North Texas
    let T_1 be the tension in crane I cable ... T_2 for crane II

    forces up = force down

    T_1\sin(30) + T_2\sin(45) = 20000

    force right = force left

    T_1\cos(30) = T_2\cos(45)

    solve the system for T_1 and T_2

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