Moment of Inertia of a Thin Rod

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

This calculation is for the moment of inertia of a thin rod.  For the purposes of this calculation, a thin rod is one where the diameter of the rod is neglible.  The moment of inertia is calculated two different ways, about the center Ic and about the end Ie.

Thin Rod, End Axis formula

\(\large{ I_e = \frac {1}{3} m  l^2 }\) 

Thin Rod, Center Axis formula

\(\large{ I_c = \frac {1}{12} m  l^2 } \)

Where:

\(\large{ I }\) = moment of inertia

\(\large{ l }\) = length

\(\large{ m }\) = mass
moment of inertia Rod 1

Tags: Equations for Moment of Inertia