![]() Then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a print format, Want to cite, share, or modify this book? This book uses the The moment of inertia about one end is 1 3 m L 2 1 3 m L 2, but the moment of inertia through the center of mass along its length is 1 12 m L 2 1 12 m L 2. ![]() ![]() This is because the axis of rotation is closer to the center of mass of the system in (b). ![]() We see that the moment of inertia is greater in (a) than (b). Using the parallel-axis theorem eases the computation of the moment of inertia of compound objects. I total = I Rod + I Sphere = 1 3 m Rod L 2 + 2 5 m Sphere R 2 + m Sphere R 2 I total = I Rod + I Sphere = 1 3 m Rod L 2 + 2 5 m Sphere R 2 + m Sphere R 2
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