The cups and the arms of an anemometer are fabricated from a material of density . Knowing

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The cups and the arms of an anemometer are fabricated from a material of density ρ. Knowing that the moment of inertia of a thin, hemispherical shell of mass m and thickness t with respect to its centroidal l axis GG′, is 5ma2/12, determine

(a) The moment of inertia of the anemometer with respect to the axis AA′,

(b) The ratio of a to l for which the centroidal moment of inertia of the cups is equal to 1 percent of the moment of inertia of the cups with respect to the axis AA′.




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