Consider an infinite 2D body, bounded by a parabola. It is made of an non-uniform material, so it's center of mass is finite. Initlaly, the body lies on a horizontal line in a stable position, so that the line that connects the center of mass with the bottom point is normal to the boundary. The center of mass starts moving, and the body changes its position. Sometimes, when the center of mass crosses certain line C (shown in red at the picture), the body makes a sharp swing. Explain this phenomenon, and find the line C.(adsbygoogle = window.adsbygoogle || []).push({});

http://www.math.uiuc.edu/~roitman/m...catastrophe.gif [Broken]

help me out guys, im really really

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# Catastrophe theory, please help

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