The cups and the arms of an anemometer are fabricated from a material of density ρ. Knowing that the mass moment of inertia of a thin, hemispherical shell of mass m and thickness t with respect to its centroidal axis GG′ is 5ma2/12, determine
(a) The mass moment of inertia of the anemometer with respect to the e axis AA′,
(b) The ratio of a to l for which the centroidal mass moment of inertia of the cups is equal to 1 percent of the mass moment of inertia of the cups with respect to the axis AA′.