Chapter 20 of 2363 min read
Moment of inertia, theorems of axes
Why this is asked: The perpendicular axis theorem (Iz = Ix+Iy) applies only to flat, planar bodies — using it on a solid sphere or cylinder is a common invalid move — while the parallel axis theorem works for any rigid body.
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- •A sphere of radius is cut from a larger solid sphere of radius as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of the sphere about the -axis is:
- •The moment of inertia of a thin rod about an axis passing through its midpoint and perpendicular to the rod is . The length of the 400 g rod is nearly:
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