Find the moment of Inertia of a thin rod
of mass M
and length L
about an axis passing through one
end of the rod
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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. I = kg m². If the thickness is not negligible, then the expression for I of a cylinder about its end can be used.
Thus, the moment of inertia of the rod about an axis perpendicular to its length and passing through its one end is 3ML2.
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