Chapter 16.4, Problem 25E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

A plane lamina with constant density

(*ρ**x*, *y*) =

occupies region in the *ρ**xy*-plane bounded by a simple closed path *C*. Show that its moments of inertia about the axes are

To determine

**To show**: The moments of inertia of plane lamina about axes as

Explanation

**Given data:**

The density of plane lamina is

**Formula used:**

Consider a region *D* bounded by a closed path *C*.

Write the Green’s Theorem in case of sample region *D*.

Here,

*A* is area.

Find the value of

Find the value of

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