6 .C4 VI.C.2: ESTIMATE OF MOMENT OF INERTIA ABOUT TRANSVERSE AXIS OF FIRST HULL DESIGN Figure 6.C2 shows the first hull configuration model used in this analysis. It is the same as that used to find the moment of inertia about the spin axis, but a set of transverse a:{es has be.en added to the figure. y is the axis through the center of mass of the whole model. y 1 goes through the sphere-center of the endcap. y 2 goes through the center of mass of the endcap. y 3 passes through the center of mass of the housing torus, and y 4 goes through the center of mass of the torus of machinery. Y 5 goes through the center of mass of the solid hemisphere of atmosphere. I Ycylindrical hull section ri(Mass cylindrical hull section) (6Radius) 2 + (Length) 2 ) 1.61 x 10 11 kg-m 2 The center of mass of a thin-shell hemisphere is on its axis of.symmetry, halfway between the sphere-center and the tip of the hemisphere. From the parallel axes theorem, where I Y2 . Radius 2 I y 1 - (Mass hemisphere) (- 2 --) I = ~ 3 (Mass hemisphere) (Radius) 2 Y1 Again, by the parallel axes theorem, I = I + (Mass hemisphere} (100) 2 Yone endcap Y2 (i - ¼ +l) \2n (l00) 2 (.056) (7.86.xl0 3 ) (100) 2 ) 3.92 x 10 11 kg-m 2
RkJQdWJsaXNoZXIy MTU5NjU0Mg==