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# Second Moment of Area Problem: Let R be the region under the graph of y = sin x from x =

ISBN: 9781559536547 285

## Solution for problem 9 Chapter 11-4

Calculus: Concepts and Applications | 2nd Edition

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Problem 9

Second Moment of Area Problem: Let R be the region under the graph of y = sin x from x = 0 to x = (Figure 11-4k), where x and y are in centimeters. Figure 11-4k a. Show that the centroid of R is at x = /2. b. Find the second moment of area of theregion with respect to the y-axis.c. Find the radius of gyration (displacement tocenter of second moment) of R with respectto the y-axis.

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