When two rigid bodies are fastened together and rotate as a single object about the…

PHYSICS · Single correct · A Level · Physics · Engineering physics · Engineering physics

Problem

When two rigid bodies are fastened together and rotate as a single object about the same fixed axis, the rotational inertia ItotalI_{\text{total}} of the combination is (a) the arithmetic mean of the individual rotational inertias about that axis (b) I1 2+I2 2\sqrt{I_1^{\,2}+I_2^{\,2}}, the root-sum-of-squares of the individual rotational inertias (c) the algebraic sum of the individual rotational inertias about that axis (d) I1I2I1+I2\displaystyle \frac{I_1 I_2}{I_1+I_2}, the product of the inertias divided by their sum

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