13.07.2015 Views

Momentos de inercia

Momentos de inercia

Momentos de inercia

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10.6 <strong>Momentos</strong> <strong>de</strong> Inercia respecto a ejesinclinados• Integrando,I u =I x cos 2 θ+I y sin 2 θ−2I xy sin θ cos θI v=I xsin 2 θ+I ycos 2 θ+ 2I xysin θ cosθI uv=I xsin θ cosθ−I ysin θ cosθ+2I xy(cos 2 θ−sin 2 θ )• Simplificando mediante i<strong>de</strong>ntida<strong>de</strong>s trigonométricas,sin2θ=2sin θ cosθcos2θ=cos 2 θ−sin 2 θ

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