Moment of Inertia for a cylinder

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This page discusses the moment of inertia specifically in the case of a ring

Written by Jack Corelli

The Main Idea

See The Moments of Inertia for a more general explanation of moments of inertia.

The moment of inertia of an object relates the mass of the object, the distance between the center of mass and the shape of rotation. In a ring, or uniform loop, the center of mass is exactly at the center of the ring, and the moment of inertia can be found by approximating the exterior ring as a single line, akin to a circle.

A Mathematical Model

In its simplest form, the moment of inertia can be found for a simple, constant density and shape rod by the equation:

[math]\displaystyle{ I = \frac{1}{2}*M*R^2 }[/math] Where I is the moment of inertia, M is the mass of the object being rotated and R is the radius of the rod. This describes the moment of inertia calculated when a rod is spun about its center axis. As can be seen here ->


A Computational Model

How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript

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