I realize now that there shouldn't really be any more of a reason to get stuck on this as there is to get stuck on why the centroid of a pyramid is h/4 from the base while a triangle is h/3. The fractional cone as theta goes to 0 basically becomes a pyramid.
I think I'm satisfied enough with...
To calculate the centroid of a cone, it seems that you have to use calculus. It comes out to be h/4, where h is the height from the base of the cone. But intuitively I thought that the centroid would have been h/3 because that's a triangle's centroid, and the cone can be obtained by rotating a...
you probably need some time to think about what complex numbers are and what it means to have physical meaning. It's a deep question that you have to struggle with for yourself and probably no short answer on this board can make you satisfied. And don't be down on yourself for struggling to...