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EXAMEN 01/06/2015 EJ7
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Ejercicio 7. Examen final
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EJERCICIO 7La mitad de un tubo circular de pequeño espesor, con masa m y radio r, se
suelta desde el reposo en la posición indicada. Si el medio tubo rueda sin
deslizar durante el movimiento, determine:
• Su velocidad angular después de haber girado 90º.
• La reacción producida por la superficie horizontal de apoyo en ese
mismo instante.
SUGERENCIAS.
Distancia GO = 2r/π.
Al ser el tubo de pequeño espesor, la inercia másica se puede calcular como
si toda la masa se encontrara a una distancia r del centro O, y por el
Teorema de Steiner, IG = mr² - m(GO)².
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