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Homework Help: Aligning 3 point plate - vector cross product useful?

  1. Sep 16, 2010 #1
    1. The problem statement, all variables and given/known data
    Hello,
    I have a plate that needs levelling. I can only twist the back 2 feet threaded feet, while the single front foot is fixed, as in the diagram:

    Setup.jpg

    As mentioned above I can only TWIST the back two feet (separately or together) causing the plate to tilt around the fixed front foot.

    Given an initial setup where one back foot is higher than another and given that I know the acceleretation due to g in each axis (x,y and z), how do I find the ratio of turn amount of each backfoot to get the system level. That is how many turns on one back foot to the other backfoot is required to bring the system to acceleration:

    X axis 0g
    Y axis 0g
    Z axis 1g

    2. Relevant equations



    3. The attempt at a solution


    One way of aligning to to align the axis axis first by adjusting the 2 back feet until x axis is 0, then moving them both the same amount to get y to 0g as well (by moving them by the same amount the acceleration of x axis is not varied)

    I thought perhaps the cross product would help, but it's just a guess

    Thanks
    Thomas
     
  2. jcsd
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