Mathematics, 21.03.2020 00:27 kyleataylor2005

A plane lamina with constant density rho(x, y) = rho occupies a region in the xy-plane bounded by a simple closed path C. Its moments of inertia about the axes are given below.
Ix = -rho/3 ∮ᴄ y³ dx
Iy = rho/3 ∮ᴄ x³ dy

Find the moment of inertia of a circular disk of radius a with constant density p about a diameter.

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A plane lamina with constant density rho(x, y) = rho occupies a region in the xy-plane bounded by a...