PROBLEM 9.15 Determine the moment of inertia and the radius of gyration of the shaded area shown with respect to the xaxis. SOLUTION At 12,xayyb===1:orbybmama==323rbybkakaThen 11orbayxxyab13133223orxyabNow ()131321aadAxx dyyy dybb=−=−143320031242bbaaAdAyydyyybb−=−∫∫ababab=Then 1313xdIy dAyyy dybb−Now 710340032104bbxxyyyyIdIadya−=−31104104babor 3110xIab=W And 31101215xxabIkbAab=5xbk=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.