A lamina has the shape of the region bounded by the graph of the ellipse x2/a2 + y2tb2 =
Chapter 9, Problem 61(choose chapter or problem)
A lamina has the shape of the region bounded by the graph of the ellipse x2/a2 + y2tb2 = 1. If its density is p(x, y) = 1, find: (a) the moment of inertia about the x-axis of the lamina, (b) the moment of inertia about the y-axis of the lamina, (c) the radius of gyration about the x-axis [Hint: The area of the ellipse is 7Tab ], and (d) the radius of gyration about the y-axis.
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