Chapter 15.6, Problem 47E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Set up, but do not evaluate, integral expressions for (a) the mass, (b) the center of mass, and (c) the moment of inertia about the z-axis.

**47**. The solid of Exercise 21;

**21**. The solid enclosed by the cylinder *y* = *x*^{2} and the planes *z =* 0 and *y + z =* 1

(a)

To determine

**To find:** The integral expression for the mass and not to evaluate the value.

Explanation

**Given:**

From exercise 21 notice that, the solid enclose by the cylinder

**Calculation:**

Mass of the solid,

The mass of the solid is,

(b)

To determine

**To find:** The integral expression for the center of mass and not to evaluate the value.

(c)

To determine

**To find:** The integral expression for the moment of inertia about the *z*-axis and not to evaluate the value.

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