Part of ME-05 — Rotational Motion

Diagram: Parallel Axis Theorem Explained

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Parallel Axis Theorem: I = I_cm + $Md^{2}$ CM axis (I_cm) New axis (I) d CM I (new axis) = I_cm + $Md^{2}$ Valid for ANY body | d = distance between parallel axes

Reading the diagram: The CM axis (terracotta dashed line) gives minimum IcmI_{cm}. Any parallel axis displaced by dd gives I=Icm+Md2>IcmI = I_{cm} + Md^2 > I_{cm}. The distance dd is measured between the two parallel axes (not from the edge of the body).

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