Finding Center of Mass

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Can someone explain what I did wrong? I want to correct my mistakes on this midterm. I suspect my equation for the moment about the y-axis is wrong.

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Much better if I show the graph of the triangular region: It is given in the shaded area below:

enter image description here I do suggest you to reformulate the formulas for $\overline{x}$ and $\overline{y}$ by considering the horizontal segment approach. Its easier than the vertical segment approach.

I will go out for now. In case you want the details of the one I suggested, just ask me and I fix my answer when I come back.