23Ha=Thus, the coordinates of the 4 atoms are: Oxygen: ()0,0,HHydrogen: 11,,0;,,022aabb−−−Carbon: 2,0,0b(a) The axes 1, 2, 3 are principal axes if the products of inertia are zero. 00xyiiiImxyb b− −==+−+−+≡ ∑000000yzI− =+++≡The 1,2,3 axes are principal axes. xzI(b) Find principal moments 216716116xxiii2IyzH==+ =++=∑a() ()()222221891611126yyiii212Ixbbb+=+++=∑a222311140zziii223Ixybbb++∑a2676896143Ia=(c) 312III<<therefore rotation about the1-axis is unstable (see discussion Sec. 9.4)
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This note was uploaded on 01/06/2012 for the course PHYSICS 4360C taught by Professor Johnanderson during the Fall '11 term at UNF.