Math Is Fun Forum

Agnishom

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From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,974

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Moment of Inertia

The moment of inertia of a continuous mass distribution is defined as

or simply:

where \rho is density.

How do I calculate the moment of inertia of a right circular cone about an axis passing through the center of its base and its vertex?

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Bob

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Registered: 2010-06-20

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Re: Moment of Inertia

hi Agnishom,

Firstly, consider a thin disc of the cone and work out its M of I.

Then sum up all such moments along the axis of the cone, integrating wrt distance from base to vertex.

Bob

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