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Mass Moments of Inertia Introduction

The mass moment of inertia of the differential mass dm about 0-0 axis (perpendicular to the plane of rotation of centre of mass) is

dI = r2 dm

I = ʃ r2 dm

where I is the mass moment of inertia of the body of mass m. It is obvious that we take into account of mass moment of inertia for rotational motion of a body.

 

If the mass density pis kept constant, we can write dm = p dV. where dV =element

of volume.

(8.1) => I = ʃ r2 p dV  =P ʃ r2 dV