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For the area indicated, determine the orientation of the principal axes at the origin and the corresponding values of the mom

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Solution | 16112 es of area (1) about x-axis of Inertia he moment de ( Ix) = -2 Try = I ñ (6in) og (Ix), = 508.94 inu The moBy portallel axis Theorem, the moment of Inertila of Area (2) about y qis (Ty), = (Iy), + Ad2 **** + (902) Cin) = $1(60) + (By Parallel axis theorem; (Isy), = Isly +(ZJA, = 0 + GJA, = (BN) ( 0 (2) M (ch) Cho Tay = 432ing (Isy), - Ixy + (aga), = 0 +(The product of Inentia Try = (1xy), + (Try), - 432 + 432 = 864 iny Isey = 864 in) At the poincipal axes, - Ixt lyt 11017.88-2Ipin = ( 107-8428574) po 15-2657672 HM Imin = 524.07 int The orientation of Principal aris - 2 Ixy Jan 20 - It-Ty Jan20 - - 2

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