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Torque Problem: Hinge

  1. Nov 7, 2013 #1
    1. The problem statement, all variables and given/known data

    302sape.gif

    The massless bar, hinged at A, is inclined at an angle θ = 28.0° and subjected to horizontal and vertical forces F1 and F2, as shown. If L1 = 2.30 m, L2 = 1.00 m, F1 = 31 N, and the beam is in static equilibrium, what is the magnitude of F2?


    2. Relevant equations

    T=Fr

    3. The attempt at a solution

    sum of forces and torques must be null
    forces
    F1+Rx=0
    F2+Ry=0
    torques
    F2L2cosθ-F1L2sinθ=0
    F2=F1L2sinθ/(L2cosθ)
    F2=31*1*sin28/(2.30*cos28)=7.17 N
     
  2. jcsd
  3. Nov 7, 2013 #2

    SteamKing

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    Are you sure the torque produced by F1 about point A depends on L2 and not L1?
     
  4. Nov 7, 2013 #3
    Thanks
     
    Last edited: Nov 7, 2013
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