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State theorem of perpendicular axes....

State theorem of perpendicular axes.

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### Step-by-Step Text Solution: 1. **Understanding the Context**: The Perpendicular Axis Theorem is applicable only to planar bodies (laminar bodies), which means it is relevant for two-dimensional shapes and not for three-dimensional objects. 2. **Defining the Axes**: Consider a planar body (lamina) with two axes lying in its plane. Let's denote these axes as the x-axis and the y-axis. The moment of inertia of the body about the x-axis is represented as \( I_x \), and about the y-axis as \( I_y \). 3. **Introducing the Perpendicular Axis**: Now, introduce a third axis, which we will call the z-axis. This axis is perpendicular to the plane of the lamina and intersects the other two axes at a common point. The moment of inertia about this z-axis is denoted as \( I_z \). ...
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