Question: A plane lamina with constant density p(x, y) = p occupies a region in the xy-plane bounded by a simple closed path C. Show that

A plane lamina with constant density p(x, y) = p occupies a region in the xy-plane bounded by a simple closed path C. Show that its moments of inertia about the axes are

x' dy dx 3 Jc .3 I, I, 3 Jc

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