(a) Show that the polar radius of gyration kO of the semiannular area shown is

Chapter 9, Problem 9.26

(choose chapter or problem)

(a) Show that the polar radius of gyration kO of the semiannular area shown is approximately equal to the mean radius Rm = (R1 + R2)/2 for small values of the thickness t = R2 R1. (b) Determine the percentage error introduced by using Rm in place of kO for the following values of t/Rm: 1, 1 2, and 1 10.

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