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Math Help - another vertors and oblique triangles problem

  1. #1
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    another vertors and oblique triangles problem

    someone help on this can? pls.....
    solve the given problems

    in lifting a heavy piece of equipment from the mud, a cable from a crane exerts a vertical force of 6500N, and a cable from a truck exerts a force of 8300N at 10.0 degree above the horizontal. find the resultant of these forces.
    Last edited by danielwu; September 14th 2006 at 05:40 AM.
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  2. #2
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    Quote Originally Posted by danielwu View Post
    someone help on this can? pls.....
    solve the given problems

    in lifting a heavy piece of equipment from the mud, a cable from a crane exerts a vertical force of 6500N, and a cable from a truck exerts a force of 8300N at 10.0 degree above the horizontal. find the resultant of these forces.
    Let us draw a coordinate system.
    With the origion of the point on which the two forces are applied.
    The vertial force of 6500 N can be expressed in vector form as,
    6500j.
    The truck on the left with an 8300 N for at a 10 degree angle above the x-axis needs a polar angle conversion. The x-coordinate is 8300 cos (10) = 8174. The y-coordinate is 8300 sin (10) = 1441.
    Thus, in vector form it can be expressed as,
    8174i+8174j.

    Now you add then and have a resultant.
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  3. #3
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    Quote Originally Posted by ThePerfectHacker View Post
    Let us draw a coordinate system.
    With the origion of the point on which the two forces are applied.
    The vertial force of 6500 N can be expressed in vector form as,
    6500j.
    The truck on the left with an 8300 N for at a 10 degree angle above the x-axis needs a polar angle conversion. The x-coordinate is 8300 cos (10) = 8174. The y-coordinate is 8300 sin (10) = 1441.
    Thus, in vector form it can be expressed as,
    8174i+8174j.

    Now you add then and have a resultant.
    i got the answers behind the book as 11000N, 44 degree above horizontal

    but by doing your method i couldnt understand and get the correct answers.
    pls help me understand further. thanks
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