Chapter 8.3, Problem 35E

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8th Edition

James Stewart

ISBN: 9781305270336

Textbook Problem

Calculate the moments *M _{x}* and

**35.** *ρ* = 6

To determine

**To find:** The moments

Explanation

**Given:**

The density is

**Calculation:**

Calculate the area of given shape:

Substitute 4 for *r*, 4 for *b*, and 2 for *h* in Equation (1).

Calculate the mass of given shape:

Substitute 6 for *A* in Equation (2).

Consider the

Calculate the moment

Substitute 0 for *a*, 4 for *b*, 6 for

Integrate Equation (4).

Hence, the moment

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