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4th Edition

Andrew Pytel And Jaan Kiusalaas

Publisher: CENGAGE L

ISBN: 9781305501607

Chapter 8, Problem 8.43P

Textbook Problem

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Use integration to find the centroidal coordinates for the volume obtained by revolving the area shown about the *x*-axis.

To determine

Centroidal coordinates of the volume obtained by revolving the area about x-axis.

**Given Information:**

The following plane in given,

**Calculation:**

Consider the following figure,

Consider the revolution of a rectangular strip about x-axis as shown in figure above.

The volume generated by the strip is,

Integrate the differential volume to get the total volume as,

By symmetry the y-coordinates of centroid is

International Edition---engineering Mechanics: Statics, 4th Edition

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