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7. A 3 kg uniform rod has a length of 2 m. What is the moment of inertia around an axis at the center of the rod perpendicular to the rod?

7. A 3 kg uniform rod has a length of 2 m. What is the moment of inertia around an axis at the center of the rod perpendicular to the rod?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem 7: Moment of Inertia of a Uniform Rod** A 3 kg uniform rod has a length of 2 m. What is the moment of inertia around an axis at the center of the rod perpendicular to the rod? --- **Diagram Explanation:** The diagram shows a horizontal rod labeled with its length \( L \). There is a vertical dashed line representing an axis at the center of the rod, perpendicular to its length. The rod is uniform, meaning its mass is distributed evenly along its length. **Key Concepts:** - **Moment of Inertia (I):** A measure of an object's resistance to changes in its rotation, calculated as \( I = \frac{1}{12} m L^2 \) for a rod rotating around an axis through its center. - **Given Values:** - Mass (\( m \)) = 3 kg - Length (\( L \)) = 2 m
Transcribed Image Text:**Problem 7: Moment of Inertia of a Uniform Rod** A 3 kg uniform rod has a length of 2 m. What is the moment of inertia around an axis at the center of the rod perpendicular to the rod? --- **Diagram Explanation:** The diagram shows a horizontal rod labeled with its length \( L \). There is a vertical dashed line representing an axis at the center of the rod, perpendicular to its length. The rod is uniform, meaning its mass is distributed evenly along its length. **Key Concepts:** - **Moment of Inertia (I):** A measure of an object's resistance to changes in its rotation, calculated as \( I = \frac{1}{12} m L^2 \) for a rod rotating around an axis through its center. - **Given Values:** - Mass (\( m \)) = 3 kg - Length (\( L \)) = 2 m
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