Find the moments of inertia Ix, Iy, I0 for a lamina in the shape of an...

Find the moments of inertia Ix, Iy, I0 for a lamina in the shape of an isosceles right triangle with equal sides of length a if the density at any point is proportional to the square of the distance from the vertex opposite the hypotenuse. (Assume that the coefficient of proportionality is k, and that the lamina lies in the region bounded by x = 0, y = 0, and y = a-x).

Question: in other answers, they state that p(x, y) = k(x^2+y^2) but I'm having a difficult time understanding how they came up with that? A step by step process would be greatly appreciated.

Expert Solution

I hope this is clear enough. If you have any other doubts, don't hesitate to ask. That's how we learn.

Thank you!

genius_generous answered 2 years ago

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