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Thread: vectors

  1. #1
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    vectors

    an object P is acted upon by 3 coplanar forces one force is a hundred pounds due south another is 150 pointing due east and the third is 200 lbs 30 degrees north of east. What is the force needed to prevent P from moving
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  2. #2
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    Hello, leinadwerdna!

    Do you know how to write vectors and add vectors?


    An object P is acted upon by 3 coplanar forces.
    One force is 100 pounds due south,
    another is 150 pounds due east
    and the third is 200 pounds 30° north of east.
    What is the force needed to prevent P from moving?
    Code:
                              w
                            *
                  200   *
                    *
            P   * 30°
            o - - - - - - * v
            |     150
        100 |
            |
            *
            u

    We have: . \begin{array}{ccc} \vec u &=& \langle 0,\:\text{-}100\rangle \\<br />
\vec v &=& \langle 150,\:0\rangle \\<br />
\vec w &=& \langle 100\sqrt{3},\:100\rangle \end{array}


    The resultant vector is: . \vec u + \vec v + \vec w \;=\;\langle 250\sqrt{3},\:0\rangle

    P is moving directly east with a force of 250\sqrt{3} pounds


    To prevent movement, 250\sqrt{3} pounds of force must be applied directly west.
    . . The applied vector would be: . \langle \text{-}250\sqrt{3},\:0\rangle

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  3. #3
    Member eXist's Avatar
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    Shouldn't this:
    Quote Originally Posted by Soroban View Post

    The resultant vector is: . \vec u + \vec v + \vec w \;=\;\langle 250\sqrt{3},\:0\rangle
    Be this?
    \vec u + \vec v + \vec w \;=\;\langle 150+100\sqrt{3},\:0\rangle
    Last edited by eXist; January 23rd 2010 at 08:41 PM.
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  4. #4
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    the answer in the book is 323 lbs due west not equivalent to either of the answers u two gave. what is wrong
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  5. #5
    Member eXist's Avatar
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    I edited my previous post. Check the answer now, it should be correct.
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  6. #6
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    ok i get that but how do u know the force must be applied due west to stop the object
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