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Finding The Centre of Mass

  1. Nov 15, 2005 #1
    A cubical container has been constructed from metal plate of uniform density and negligible thickness. The box has an edge length of 40 cm.

    Find the x, y, & z coordinates of the centre of mass of the box.

    Im guessing that the x and y coordinates are found by the symmetry..But how do i find the y coordinate?

    Any help would be appreciated
  2. jcsd
  3. Nov 15, 2005 #2
    Now that I think about it, Wouldnt the y coordinate 0?

    If this is right, is their any method to show my work, or is it all just found by symmetry?
  4. Nov 15, 2005 #3
    I'm guessing you mean how do you find the z coordinate. Since a box has uniform length in every dimension it is easy to find the COM in every component through symmetry.
  5. Nov 15, 2005 #4
    what I meant was : "remember that the box has no top
    I can find the centre of mass in the x & z directions through symmetry

    How do i find the y component? then i thought about it and realized that it would be "0"...therefore the centre of mass is (20, 0, 20)?

    How do I show work for this?
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