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Math Help - Need help figuring out how to rewrite a system of equations

  1. #1
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    Need help figuring out how to rewrite a system of equations

    Hello,

    I'm doing a problem in static mechanics dealing with the sum of equilibrium forces.
    The two equations I come up with are
    EFx=T-Nsin20=0
    EFy=Ncos20-mg=0

    The goal is to solve for T, which has been given to me as T=(mgsin20)/cos20. My question is how does T equate to this? The example I am following along with gives the answer but not the steps required. It says to eliminate N to yield the previous equation for T but I do not understand how T can equal (mgsin20)/cos20. Is this even a system of equations problem or am I looking at it wrong to begin with? any help is appreciated!
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  2. #2
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    Re: Need help figuring out how to rewrite a system of equations

    What you gives depends upon some other relation between "EFx" and "EFy". I take those are components of vector EF. What are you told about EF?
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  3. #3
    Senior Member MaxJasper's Avatar
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    Lightbulb Re: Need help figuring out how to rewrite a system of equations

    N =m*g/\text{Cos}[20]

    T=N *\text{Sin}[20]\text{  }=m*g* \text{Sin}[20]/\text{Cos}[20] = m*g* \text{Tan}[20]
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    Re: Need help figuring out how to rewrite a system of equations

    ahhh I knew it had to be something as simple as that. I guess 3 hours of studying had fried my brain. Many thanks
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    Re: Need help figuring out how to rewrite a system of equations

    Quote Originally Posted by HallsofIvy View Post
    What you gives depends upon some other relation between "EFx" and "EFy". I take those are components of vector EF. What are you told about EF?
    My fault for not clarifying the entire problem, I was just concerned with how to rewrite the equation to solve for T. Also the E's i wrote were to represent Sigma. Thanks for the reply though!
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