Calculo de Momento de Inercia de Disco e Esfera - Formulas e Deducoes

I Barra I v2 v2 r2 dm v2 v2 r2 dr 13 r3 v2 v2 13 l23 l23 13 l38 l38 13 l34 l3 32 I mL l3 32 I 0L r2 dm 0L r2 λ dr λ r33 0L 13 λ L3 mk l33 I mL23 II Disco I 0R r2 dm 0R r2 δ da δ0R r2 2πr dr 2π δ 0R r3 dr 2π δ r44 0R π δ R42 mπ R2 π R42 m2 R2 I0 m R2 2 III Esfera IESF x2 dm 2 1 2 π x2 π x2 dy ρπ 2 R2 33 2 R3 33 3 5 R R ρ π 2 R R R2 2R2 y2 3 y4 3 dy ρ π2 R R R2 2 y2 3 y4 3 dy ρ π R5 55 10 3 15 ρ π R5 815 43 π R3 ρ π R5 815 I 25 m R2 ρ m v v r2 dm ρ dv dm ρ π x2 dy r2 x2 y2 x2 R2 y2