PROBLEM 9.127 A thin steel wire is bent into the shape shown. Denoting the mass per unit length of the wire by ,m′determine by direct integration the moment of inertia of the wire with respect to each of the coordinate axes. SOLUTION First note 11222333dyxaxdx−=−−Then 22233 3211dyxaxdx−+=+−23ax=For the element shown 21dydmm dLmdxdx′′==+13amdxx′=Then 131300aaamxmaxmax′=∫==Now 1313320axaIydmaxmdxx′=−∫514123331320aamaax x dxx′−+−84423333039332428aa xx′+−
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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.