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Help understanding the mathematical expression of product of Inertia

  1. Apr 15, 2012 #1
    1. The problem statement, all variables and given/known data
    Hello! I'm stuck and confused. I've been browsing the web, and reading books but can't seem to get it right. I've been looking for the mathematical expression for product of Inertia. I've managed to understand the 50% of it. But I'm stuck on the first part.




    2. Relevant equations
    Equation:

    Ixy = Ix'y' + AX*Y*

    Where A = Area of the figure
    X* = The center of gravity in "x" axis
    Y* = The center of gravity in "y" axis


    But I can't figure what's Ix'y'. I know that if the figure is symmetrical it will give 0. But how is that possible?

    Please note that I'm trying to solve problems without integration. I've been given real values.

    Thanks a lot in advance.

    3. The attempt at a solution
     
  2. jcsd
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