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Math Help - Solving Simulataneous equations derived from 2d Concurrent Forces

  1. #1
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    Solving Simulataneous equations derived from 2d Concurrent Forces

    Hey Guys,
    After analysing a 2d Concurrent Force system I have found the 2 following equations. The question asks to find the value of x and I am unsure of what is the simpliest, hassle free method to do this. The question is posed in an assignment, however no working is required and use of a computer is fine.

    Sum of Forces in Horizontal:
    197cos(x) - 210cos(y) = 0

    Sum of Forces in Vertical:
    197cos(x) + 210sin(y) = 139

    Find x.

    Thanks Guys!
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  2. #2
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    Quote Originally Posted by holmesb View Post
    Hey Guys,
    After analysing a 2d Concurrent Force system I have found the 2 following equations. The question asks to find the value of x and I am unsure of what is the simpliest, hassle free method to do this. The question is posed in an assignment, however no working is required and use of a computer is fine.

    Sum of Forces in Horizontal:
    197cos(x) - 210cos(y) = 0

    Sum of Forces in Vertical:
    197cos(x) + 210sin(y) = 139

    Find x.
    subtract the horizontal equation from the vertical equation, term for term ...

    197cos(x) + 210sin(y) = 139
    -[197cos(x) - 210cos(y) = 0]
    ------------------------------
    210sin(y) + 210cos(y) = 139

    sin(y) + cos(y) = 139/210

    solve for y, then go back to either original equation and solve for x.
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