Moment Of Inertia And Theorems Of Perpendicular And Parallel Axes

Moment of Inertia, Perpendicular and Parallel Axes Theorems:

Parallel Axis Theorem:

  • Moment of inertia about an axis = Moment of inertia about parallel centroidal axis + (total mass) x (square of distance between the two axes)

Perpendicular Axis Theorem:

  • Moment of inertia about axis perpendicular to a line through COM = Sum of moments of inertia about two axes parallel to the line through the COM

Parallel Axis Theorem for a Uniform Rod:

  • Moment of inertia of a rod about an axis perpendicular to the rod through one end = (1/3) x (mass of rod) x (length of rod)^2

Important Points:

  • Moment of inertia depends on mass distribution and rotation axis.
  • It measures the resistance of an object to angular acceleration.
  • Moment of inertia of a system of particles equals the sum of individual particle moments of inertia.
  • A hollow object’s moment of inertia is greater than a solid object of the same mass and shape.


Table of Contents

sathee Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on

Please select your preferred language
कृपया अपनी पसंदीदा भाषा चुनें