Moment of Inertia of a Mass

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

moment of inertia Mass 2moment of inertia Mass 1Single Mass formula

(Eq. 1)  \(\large{ I = m \; r^2 }\)        

Multiple Masses formula

(Eq. 2)  \(\large{ I = m_1 \; r_1{^2} + m_2 \; r_2{^2} + m_3 \;  r_3{^2}  }\)        

Where:

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

\(\large{ m }\) = mass

\(\large{ m_1 }\) = mass

\(\large{ m_2 }\) = mass

\(\large{ m_3}\) = mass

\(\large{ r }\) = radius

\(\large{ r_1 }\) = radius

\(\large{ r_2 }\) = radius

\(\large{ r_3 }\) = radius

 

Tags: Equations for Mass Equations for Moment of Inertia