Moment of Inertia of a Thin Rod

on . Posted in Classical Mechanics

moment of inertia Rod 2This 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.

Moment of Inertia of a Thin Rod Index

  • Moment of Inertia of a Thin Rod, End Axis
  • Moment of Inertia of a Thin Rod, Center Axis

 

Moment of Inertia of a Thin Rod Formula, End Axis

End Axis - \( I_e = \frac{1}{3} \; m \; l^2 \) 

Center Axis -  \( I_c = \frac{1}{12} \; m \; l^2 \) 

Symbol English Metric
\(\large{ I }\) = moment of inertia  \(lbm \;/\; ft^2-sec\)  \(kg \;/\; m^2\)
\(\large{ l }\) = length \( in \) \( m \)
\(\large{ m }\) = mass \( lbm \) \( kg \)

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Tags: Moment of Inertia