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What techniques can be used to analyze a rod rotating about the edge of a table?

  1. Apr 29, 2012 #1
    A uniform rod of length 4x is rotating about the edge O of the table. (The rod does not fall off the table.) The centre of mass G of the rod is distance x away from O. The rod is making an angle θ with the horizontal.

    The only forces present are the weight W of the rod, the normal reaction N of the table on the rod and the frictional force S that prevents the rod from slipping off the table as it rotates. Let the Radial direction point from O to G, and the Transverse direction be anticlockwise.

    I apologise for not including a diagram but it should be very quick to sketch.

    Question: Would it be appropriate to approach this problem using Newton's 2nd Law and then resolving the equation into radial and transverse components? If so, am I suppposed to be considering the motion of a point on the rod, or the motion of the rod as a whole body?

    In particular, are these eqns meaningful??

    −m(xω^2)=S−Wsinθ
    m(xα)=Wcosθ−N
     
  2. jcsd
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