Chapter 15.4, Problem 18E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Find the moments of inertia *I _{x}, I_{y}, I*

To determine

**To find:** The moments of inertia

Explanation

**Given:**

The region *D* is the triangle enclosed by the lines

The density function is

**Formula used:**

The moments of inertia is,

Here, the density function is given by
*D* is the region that is occupied by the lamina.

**Calculation:**

Obtain the moment of inertia

Integrate with respect to *x* and apply it’s limit.

Integrate with respect to *y* and apply the limit.

=

Obtain the moment of inertia

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