The triangle has uniform surface mass density of. The method that I've been taught involves some basic integration and substitution of dm for (Density X dA). And then substituting dA with one expression in terms of dy, and another in terms of dx.(adsbygoogle = window.adsbygoogle || []).push({});

I don't really like the method I was taught... 'feels' inconsistent. I don't like having to look at the graph to determine an expression for dA... I keep thinking that if the problem gets tougher, like with some complex graph, then I'm screwed.

What I was wondering however, is if we could use double integration to solve it? I haven't really learnt double integration, but I've sorta used it for moments of areas.

So for example, maybe we could make the substitution dm = (density) dx dy?

Then do some fancy math? It just seems more logical. I hope I'm making sense. Any advise?

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# Homework Help: Center of mass of a triangle (uniform density)

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