Results 1 to 2 of 2

Math Help - Statics problem

  1. #1
    Newbie
    Joined
    Feb 2009
    Posts
    2

    Statics problem

    Can I get some help with problem 2.53 shown below?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,674
    Thanks
    445
    let \theta be the angle AB makes with the horizontal

    \phi be the angle BC makes with the horizontal

    T = wire tension

    W = weight of aerailist

    \sum{F_x} = 0

    (T+35)\cos{\theta} = T\cos{\phi}

    \sum{F_y} = 0

    (T+35)\sin{\theta} + T\sin{\phi} = W


    let the length of AB = x ... then the length of BC = 8-x

    let h = vertical distance (amount of "dip") point B is below AC

    h^2 = x^2 - 2.5^2

    h^2 = (8-x)^2 - 5.45^2

    (8-x)^2 - 5.45^2 = x^2 - 2.5^2

    solve for x, then you can determine

    \cos{\theta} = \frac{2.5}{x}

    \cos{\phi} = \frac{5.45}{8-x}

    finally, solve your system of force equations for T and W.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Statics Problem. Reaction forces, etc.
    Posted in the Advanced Applied Math Forum
    Replies: 5
    Last Post: September 13th 2011, 06:33 AM
  2. Stuck on a statics problem..
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: January 23rd 2011, 08:17 PM
  3. Tension Statics Problem
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: February 1st 2010, 08:04 AM
  4. another simple statics problem
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: October 16th 2009, 11:55 PM
  5. Statics problem
    Posted in the Advanced Applied Math Forum
    Replies: 3
    Last Post: September 28th 2009, 08:49 PM

Search Tags


/mathhelpforum @mathhelpforum