(a) Find the principal axes and principal moments of inertia of a uniform solid hemisphere of radius b and mass m about

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A Find The Principal Axes And Principal Moments Of Inertia Of A Uniform Solid Hemisphere Of Radius B And Mass M About 1 (29.34 KiB) Viewed 84 times

(a) Find the principal axes and principal moments of inertia of a uniform solid hemisphere of radius b and mass m about its center of mass. (The integrations are easier if you first find the moment of inertia tensor about the center of the circular face of hemisphere then use parallel axis theorem.) (b) Suppose the object is rotating in torque-free and force-free motion. In the body coordinate system (X1, X2, X3) consists of the principal axes in part (a), the angular velocity vector makes a 45° from the Xz axis, which is the axis going through the center of the mass and the top of the hemispherical dome. Find the angle between the angular momentum vector and the xz axis.