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Equilibrium friction on an incline

  1. Mar 31, 2009 #1
    1. The problem statement, all variables and given/known data
    A uniform pole of mass is at rest on an incline of angle , secured by a horizontal rope as shown in the figure.
    http://session.masteringphysics.com/problemAsset/1034182/4/RW-12-57.jpg
    For what angle does the situation require the greatest coefficient of friction?


    2. Relevant equations

    Sum of all forces, x and y, as well as torque equaling to zero.

    3. The attempt at a solution

    I got that the friction force would be static acting upward on the ramp, being Fs=musmgsin. and the angle would be the same as the theta in the picture. any ideas on how to start?
     
  2. jcsd
  3. Mar 31, 2009 #2

    LowlyPion

    User Avatar
    Homework Helper

    Actually you have a good start already.

    Write out the equations for the Σ F and Σ T to be 0, being sure to include the Normal component of Tension with the normal component of the weight to the incline. (The presumption is that the rope must be horizontal for any θ.)

    The Σ T should allow you to resolve the Tension in terms of mg and θ.
     
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