# Chapter 10 - Exercises and Problems - Page 185: 50

$\frac{5}{8}MR^2$

#### Work Step by Step

We add the inertias of the inner and outer rings using the equation for the moment of inertia of a ring: $I =(\frac{1}{2}M)(\frac{1}{2}R)^2+(\frac{M}{2})R^2=\frac{5}{8}MR^2$

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