Serway & Jewett — Temperature: Problem 41

Consider an object with any one of the shapes displayed in Table 10.2. What is the percentage increase in the moment of inertia of the object when it is warmed from $0^{\circ}\text{C}$ to $100^{\circ}\text{C}$ if it is composed of (a) copper or (b) aluminum? Assume the average linear expansion coefficients shown in Table 18.1 do not vary between $0^{\circ}\text{C}$ and $100^{\circ}\text{C}$. (c) Why are the answers for parts (a) and (b) the same for all the shapes?