1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Calculate the center of mass on the force plate

  1. Oct 4, 2009 #1
    1. The problem statement, all variables and given/known data

    The attached jpeg shows a force plate with four measured masses each corresponding to a corner node. Calculate the center of mass on the force plate.



    2. Relevant equations

    I think they would be:

    xcg = (x1M1 + x2M2 + x2M3 + x4M4) / (M1 + M2 + M3 + M4)

    The ycg would be the same except you put yn in for xn.


    3. The attempt at a solution

    The textbook I've seen will place the lower left node at (0,0), thus zeroing out two of the nodes in each calculation. How does this give an accurate answer?

    So for this method, the xcg would be:

    xcg = (19*20 + 9*20) / (20 + 42 + 9 + 19)

    Is this correct?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     

    Attached Files:

  2. jcsd
  3. Oct 4, 2009 #2

    Doc Al

    User Avatar

    Staff: Mentor

    They are just choosing a reference point for describing the coordinates. They chose the origin to be at the lower left. No problem--it doesn't change where the center of mass is, just how you describe it.

    Sure. Why not? Note that this is consistent with the formula you gave.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook