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A stirring Rod in a hemispherical bowl

  1. Dec 10, 2006 #1
    [. The problem statement, all variables and given/known data
    Once you place a stirring rod (uniform density) of length 2R in a frictionless hemispherical bowl of radius R, it always comes to rest after one of its ends makes an angle of θ0 with respect to the vertical
    (diagram attached)

    a) derive a root equation for f(θ)=0 that can be used to solve for θ0]
    b) what is the numerical value of θ0?


    2. Relevant equations

    none

    3. The attempt at a solution

    sorry but I dont know the concepts that can be used to solve such problem. please help me. Thank you very much
    we are currently taking up oscillations and i tried to relate it but i end up totally messed up.
     

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  3. Dec 10, 2006 #2

    Meir Achuz

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    The rod is touched by the bowl at two points where there is a radial force on the rod. Draw a free body diagram and wrilte the force and torque equations.
    Include mg at the center of the rod.
     
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