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.

Nationalism has participated in a very important part of why the current events occur in today’s society. Nationalism is defined as the love and loyalty to a nation and it is widely believed to be the cauldron from which wars often spring. Nationalism is seen as the most powerful political force in today’s world as it is known to be a set of beliefs of a particular idea that inspires people...