Question
Download Solution PDFFor a thin rod of length L, rotating about its center, the radius of gyration is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
The radius of gyration k for a thin rod of length L rotating about its center is given by the formula: \(\rm \frac{L}{\sqrt 12}\)
The radius of gyration represents the distance from the axis of rotation at which the entire mass of the body can be thought of as being concentrated, to give the same moment of inertia.
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The radius of gyration is a measure of how far the mass of an object is distributed from its axis of rotation.
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It helps to simplify complex shapes by representing the distribution of mass with a single distance.
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It is used in the calculation of the moment of inertia, which describes an object's resistance to rotational motion.
Last updated on Jun 7, 2025
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