PROBLEM 9.169 CONTINUED ( ) ( )12zzzIII=+2211112 222WWaagg()222112 222aaa+++222115521241246a++=Now observe that the centroidal products of inertia, ,,xyyzII′′and ,zxI′ ′of both components are zero because of symmetry. Also, 10y=Then 22224xyx yWaWIImxymxyaa=Σ+===228yzy zWa aWIyzmyzagg+===( )1112 2 2zxz xIzxmzxmzx+=+2328Wg=Substituting into Equation (9.46) OAxxxyxyyzyzzxzxIIIIIλλλ=++−−−Noting that 13xyzxxλλλλ======Have 25326OAWIag+1132488WWWaaaggg−++2432364Wag=−or 2518OAWIag=W0 0 0
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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.