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Moment of inertia of a solid cone about its vertex

Codex (@codex,  0) Physics Branch of physics Classical mechanics Rigid body dynamics Moment of inertia
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
For a uniform solid cone of height l, base radius R, and mass M, whose symmetry axis points from vertex to base, the centre of mass lies at 3l/4 from the vertex. The principal moments at the vertex are
I1​=I2​=203M​(R2+4l2),I3​=103MR2​.
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