It is known that for a given area Iy 5 48 3 106 mm4 and

Chapter 9, Problem 9.107

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It is known that for a given area \(\bar{I}_{y}=48\times10^6\mathrm{\ mm}^4\) and \(\bar{I}_{xy}=-20\times10^6\mathrm{\ mm}^4\), where the x and y axes are rectangular centroidal axes. If the axis corresponding to the maximum product of inertia is obtained by rotating the x axis \(67.5^{\circ}\) counterclockwise about C, use Mohr’s circle to determine (a) the moment of inertia \(\bar{I}_{x}\) of the area, (b) the principal centroidal moments of inertia.

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