moi of rod having linear mass density
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Moment of Inertia: Rod. The moment of inertia about the end of the rod can be calculated directly or obtained from the center of mass expression by use of the Parallel axis theorem. If the thickness is not negligible, then the expression for I of a cylinder about its end can be used.
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Consider a rod of mass ‘M’ and length ‘L’ such that its linear density λ is M/L. Depending on the position of the axis of rotation, the rod illustrates two moments: one, when the axis cuts perpendicular through the center of mass of the rod, exactly through the middle; and two, when the axis is situated perpendicular through one of its two ends.
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