Parallel Axis Theorem
According to Parallel Axis theorem, the moment of inertia of a body about a given axis is the sum of the moment of inertia about an axis passing through the center of mass of that body and the product of the square of the mass of the body and the perpendicular distance between the two axes.
Let in the above figure, we have to find the moment of inertia of IO of the body passing through the point O and about the axis perpendicular to the plane, while the moment of inertia of the body passing through the center of mass C and about an axis parallel to the given axis is IC, then according to this theorem
IO = IC + Ml2
where
M is the mass of the entire body
l is the perpendicular distance between two axes.
Moment of Inertia
Moment of inertia is the property of a body in rotational motion. Moment of Inertia is the property of the rotational bodies which tends to oppose the change in rotational motion of the body. It is similar to the inertia of any body in translational motion. Mathematically, the Moment of Inertia is given as the sum of the product of the mass of each particle and the square of the distance from the rotational axis. It is measured in the unit of kgm2.
Let’s learn about the Moment of Inertia in detail in the article below.
Table of Content
- Moment of Inertia Definition
- Moment of Inertia Formula
- Factors Affecting Moment of Inertia
- How to Calculate Moment Of Inertia?
- Moment Of Inertia Formula for Different Shapes
- Radius of Gyration
- Moment of Inertia Theorems
- Moments of Inertia for Different Objects
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