1. Limited time only! Sign up for a free 30min personal 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!

Centroids Simplifying by symmetry

  1. Sep 29, 2009 #1
    If you have a 3d shape how do you simplify the problem using symmetry.

    eg with a sphere is symmetric along any axis therefore the centroid must be in the middle of it

    eg2 A cone sitting on the xy plane, where the pointy bit is points up the z axis.
    -nb it is sitting on point (0,0,0) where the circular crossection lines on the xy plane at z = 0
    with a centre at (0,0)

    you can intuitively see that the centroid must have an x coordinate of 0 and a y coordinate of 0 and there some random number for the z coordinate.

    where my understanding of symmetry is if a shape can be rotated about an axis and look the same then it is symmetric... this many not the be official definition though

    it seems to me that if a shape is symmetric across an axis, only a distance along that axis will need to be calculated to get the centroid. Is this right?
     
  2. jcsd
  3. Sep 30, 2009 #2

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    Hi SpartanG345! :wink:
    It's good enough! :smile:
    ("symmetric about an axis")

    Yup, that's completely right! :biggrin:
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Centroids Simplifying by symmetry
  1. Centroid Of A Triangle (Replies: 3)

Loading...