Show that the inertia matrix at the centre of a uniform solid cube with mass m and edges of length 2a is 2/3ma2I. Find the principal axes and principal moments of inertia at a vertex. 5.3. Show that the principal moments of inertia at the centre of mass of a uniform solid circular cylinder, radius a, height 2h, and mass m, are 1/2ma2 and 1/12m(4h 2 + 3a 2 ) (repeated). Find the principal axes and principal moments of inertia at a point distance D from the centre of mass in the plane through the centre of mass perpendicular to the axis of the cylinder.
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