13.07.2015 Views

Momentos de inercia

Momentos de inercia

Momentos de inercia

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10.8 Momento <strong>de</strong> <strong>inercia</strong> <strong>de</strong> unadistribuciónTeorema <strong>de</strong> eje paralelo• Si el momento <strong>de</strong> <strong>inercia</strong> <strong>de</strong> un cuerpo repecto a uneje que pasa por el centro <strong>de</strong> masa es conocido, elmomento <strong>de</strong> <strong>inercia</strong> respecto a cualquier otro ejeparalelo se <strong>de</strong>termina por el teorema <strong>de</strong>l eje paralelo,r 2 = (d + x’) 2 + y’ 2• Para el momento <strong>de</strong> <strong>inercia</strong> respecto al eje z,I=∫ r 2 dm=∫ [ (d+x' ) 2 +y' 2 ] dm∫ ( x' 2 +y' 2 )dm+2d∫ x'dm+d 2 ∫ dm

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