(a) Show that the polar radius of gyration rO of the annular 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 rO for the following values of t/Rm: 1,
, and
.
Fig. P7.22

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