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Centroid of composite area (one question)

  1. Nov 21, 2013 #1
    I was doing this example from my textbook and looked at the solution guide. I'm confused as to where the textbook got a certain number.

    UZfv3Vg.jpg


    In the numerator of their work, they got (1)(6)(2), which I'm assuming is the width of the skinny rectangle, the total length of the bottom section, and the height of the bottom rectangle, respectively...correct me if I'm wrong.

    The next part is 2[3.5(3)(1)]

    The 2 outside the square bracket is for the two smaller rectangles poking up, the 3 would be the length of them, and the 1 would be the width of them. But what is that 3.5?

    Sorry for cutting off the denominator from the picture, but I understand that part. It's just that 3.5 that I'm unsure of.

    Thanks!
     
  2. jcsd
  3. Nov 21, 2013 #2
    The 3.5 is the y-distance of the centroid of the skinny rectangles from the x axis.
     
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