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What is the radius of gyration of a right circular cone of base radius R for rotation about the central symmetry axis of the cone? -

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Question

What is the radius of gyration of a right circular cone of base radius R for rotation about the central symmetry axis of the cone?

Short Note

Solution

A solid right circular cone with mass M and base radius R has a moment of inertia of `3/10 MR^2` about its central symmetry axis. Therefore, the radius of gyration about that axis is k = `sqrt(3/10 R)`.

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Radius of Gyration
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