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- Thread starter goldfish9776
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- #2

HallsofIvy

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it pass thru centroid , why it is 0 ?definedas the vertical line passing through the center of mass.

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The shape can be thought of as made up of many little areas like A. Each little area has its own (x', y') coordinatesit pass thru centroid , why it is 0 ?

- #5

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why only the second integral = 0 , why not the first integral equal to 0 also ?The shape can be thought of as made up of many little areas like A. Each little area has its own (x', y') coordinatesrelative to the centroid. y-bar is here defined as the average value of y' across all these little areas. By definition of centroid, that average is zero.

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SteamKing

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Because in the first integral, y' is squared.why only the second integral = 0 , why not the first integral equal to 0 also ?

When y' is by itself, you are adding products of y' dA on either side of the centroidal axis, so some products are negative and some are positive. When you calculate y'

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