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Math Help - Is this assumption correct? (force vectors and moment)

  1. #1
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    Is this assumption correct? (force vectors and moment)

    Three forces are applied to a body. They are :

    F1 = (4,5) applied at (1,2)

    F2 = (2,-1) applied at (3,-1)

    F3 = (-3, 2) applied at (-2,1)


    i) Find the resultant force

    Answer : R = (3,6)

    ii) Find the total moment about the origin

    Answer: I calculated this and it is -5 Nm

    iii) The line of action of R cuts the Y-axis at (0,d). Find d

    Question: Can I assume that R = (3,6) is applied at (0,d) and its moment about the origin is - 5Nm? In order to find what d is?

    If that assumption is wrong then how do i find d?
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  2. #2
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     <br />
(x,y) \times (3,6) = 6x-3y<br />

    6x-3y = -5 is the line of action
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