PROBLEM 9.197 Determine the moments of inertia of the shaded area shown with respect to the xand yaxes. SOLUTION Have ( ) ( ) ( )123xxx xIIII=+−where ()3411422123xIaaa==Now 4238AABBIIaπand ( )( )222AAxzIIAd=+or 242234823xxaIIaaππ−4889a=−Then 222224228423aIIAda=−++44538a33322323ada=−+−4a=− +Finally 44454533838xIa+−−+4or 4xIa=WAlso ( ) ( ) ( )yyyyIwhere () ()()132241162123yIa=2a+4163yIa∴=W
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This note was uploaded on 07/11/2011 for the course EGM 2511 taught by Professor Jenkins during the Spring '08 term at University of Florida.