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Unformatted text preview: y I 2 2 x ( 29 m z y I I 2 2 x x + + ′ = ( 29 ( 29 m y x I I and m z x I I similiarly 2 2 z z 2 2 y y + + ′ = + + ′ = … more Recall Note is square of distance between x and x’ axes. Let d be this distance. Then Parallel Axis Theorem ( 29 m z y I I 2 2 x x + + ′ = x x y z O x’ y’ z’ C y z ∆ m ( 29 2 2 z y + m d I I 2 + = Thin Uniform Plate ∆ m = ρ t ∆ A, ρ ,t const. I A is second moment of area. Similarly, J 0 is polar moment of inertia A 2 2 I t dA r t dm r I ρ ρ = ∫ = ∫ = 2 2 J t dA r t dm r I ρ ρ = ∫ = ∫ = x y z ∆ m r...
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 Fall '08
 MACNAMARA
 Moment Of Inertia, parallel axis, Iz, inertia characterized

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