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Balancing torques, static equalibrium

  1. Jun 21, 2008 #1
    1. The problem statement, all variables and given/known data

    A uniform rod of mass M sticks out from a vertical wall and points toward teh floor. If the smaller angle it makes with the wall is theta, and its far end is attached to teh ceiling by a string parallel to the wall, find the tension in the supporting string.

    2. Relevant equations
    ok I know that this involves balancing torques and the object is in static equalibrium.
    this is a MCAt style question so I'm giving multiple choice answers, I know the answer to the question, but I wasn't sure how it was derived.

    3. The attempt at a solution

    I know that my downward torque based on the rod is (L/2)Mg sin theta. since net torque is 0, the CCW torque must balance the CW torque, but how does this make T = mg/2?
  2. jcsd
  3. Jun 21, 2008 #2


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    Staff Emeritus
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    Gold Member

    Hi BU2009 and welcome to PF,

    Your downward torque is correct. Now consider your upward torque, provided by the tension. At what [perpendicular] distance does this tension act from the pivot (wall)?
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