9.3(a) From equation 9.2.13, 2tan 2xyxxyyIIIθ=−From Prob. 9.1, 23xxmaI=, 243yymaI=, 22xymaI=−tan 21=24522.5θθ==DDThe 1-axis makes an angle of with the x-axis. 22.5D(b) From symmetry, the principal axes are parallel to the sides of the lamina and perpendicular to the lamina, respectively. 9.4(a) From symmetry, the coordinate axes are principal axes. From Table 8.3.1: ωGz x ()()222113231212mIaam=+=a()221031212mIm=+=a23521212mImay 123ˆˆˆ14eee+GFrom equation 9.2.5, 21131045921214 12141214Tmamama2ωω=⋅+⋅724ma=(b) From equation 9.2.4, 1310253121212141414Lemaemaema2=⋅G21213201512 14
This is the end of the preview. Sign up
access the rest of the document.
This note was uploaded on 01/06/2012 for the course PHYSICS 4360C taught by Professor Johnanderson during the Fall '11 term at UNF.