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Part of JME-04 — Rotational Motion & Moment of Inertia

Standard MOI Table

by Notetube Official127 words182 views
BodyAxisMOI
Thin rod (M, L)Centre, perp.ML^2/12
Thin rodEnd, perp.ML^2/3
Ring (M, R)Central axisMR^2
RingDiameterMR^2/2
Disc (M, R)Central axisMR^2/2
DiscDiameterMR^2/4
Solid sphere (M, R)Diameter(2/5)MR^2
Hollow sphere (M, R)Diameter(2/3)MR^2
Solid cylinder (M, R)Central axisMR^2/2

Memory trick: Ring > Hollow sphere > Disc = Solid cylinder > Solid sphere (for same M, R about natural axis). The more mass is concentrated far from the axis, the larger the MOI.

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