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to find the center of mass of this triangle
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I can divide it into vertical
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strips which are parallel to each other,
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and find the center of mass by adding
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the weighted average of all these things.
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For that, I need to know what's the mass of the shaded region.
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So, let's call it δm.
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The mass of the shaded region is the mass per unit area.
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I'll find the area later on in terms of b and h,
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but this is mass per unit area.
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Then, I need to know the area of the strip.
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I'm going to give the answer