Problem

For the right circular cone of Sample Prob. 9.11, determine the value of the ratio a/h f...

For the right circular cone of Sample Prob. 9.11, determine the value of the ratio a/h for which the ellipsoid of inertia of the cone is a sphere when computed (a) at the apex of the cone, (b) at the center of the base of the cone.

Reference of Prob. 9.11:

Determine by direct integration the moment of inertia of the shaded area with respect to the x axis.

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