Parallel Axis Theorem Statement:
The moment of inertia of any object about any arbitrary axis is equal to the sum of moment of inertia about a parallel axis passing through the centre of mass and the product of mass of the body and the square of the perpendicular distance between the two axes.
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Parallel Axis Theorem in Physics | Definition, Formula – Rotational Motion
Parallel axis Theorem Diagram:
Mathematically, I = ICM + Mr²
where,
I is the moment of inertia about the arbitrary axis,
ICM is the moment of inertia about the parallel axis through the centre of mass,
M is the total mass of the object,
r is the perpendicular distance between the axis.
Rotational Motion:
In this portion, we will learn about the rotational motion of the objects. A body moves completely in rotational motion when each particle of the body moves in a circle about a single line. When a force is applied on a body about an axis it causes a rotational motion. The force applied here is called the torque. The axis of the rotation usually goes through the body. Also, learn the two theorems such as parallel axes and perpendicular theorem explained with respect to rotational motion of objects.