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Math Help - Vector addition

  1. #1
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    Vector addition



    Could someone please explain how to resolve the forces? I dont understand how to go about solving this question. Cheers.
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  2. #2
    Member Greengoblin's Avatar
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    You have the magnitudes and angles with the x-axis of each vector. To find the resultant vector you need to convert these into vector components, and add them all together.

    So first of all solve for the x-component:

    1275+4000\cos(45)+5000cos(150)+0=-226.7N

    Next for the y-components:

    -3000+4000\sin(45)+5000\sin(150)+0=2328.4N

    So your resultant force vector is:

    \left(\begin {array} {cl} -226.7 \\ 2328.4 \end {array} \right)

    And you can calculate the magnitude using pythagoras, and the direction using basic trig.

    Once you have these:

    F=ma\implies a=\frac{F}{m}

    Will give you the magnitude of your acceleration. And its direction will be the smae as that of the force vector.
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