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Oscillating table and reference frames

  1. May 5, 2009 #1
    1. The problem statement, all variables and given/known data

    A horizontal table oscillates with a displacement A sin ωt , where A = (Ax , 0, Az ) is the amplitude vector and ω the angular frequency in an inertial frame of reference with the z axis vertically upwards, normal to the table. A block sitting on the table has mass m and linear friction that results in a force F = −λu, where λ is a constant and u is the velocity difference between the block and the table. Derive the equations of motion for this block in the frame of reference of the table using axes (ξ , η, ζ ) on the table parallel to the axes (x, y, z ) in the inertial frame.

    Can someone please help me just derive the equations of motion, so I can continue with the later parts of the question? I'm stuck! :(
     
  2. jcsd
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