Steel Wire
Steel wire is bent in the shape of white stripe on the surface of tennis ball?
http://alexandersemenov.tripod.com/ya/tnsb/index.htm
Mass of the wire is 20g and radius of the (imaginary) ball is 3cm.
Axis zz’ is the axis of (rotation90+reflection) symmetry, and xx’ is perpependicular to zz.
Moment of inertia of the wire Izz is 130 g cm².
What is moment of inertia of the wire Ixx?
The book says that exact shape of the strip does not matter. Its group of spatial symmetry plus the fact that all the mass is equidistant from the center is sufficient.
That is absolutely true, Ixx = Izz = I of any plane centered on the geometric center of the “tennis ball.” The strip on a tennis ball is symmetrical across any axis, and mass distribution is always hemispherical 3cm.
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