PROBLEM 9.116 The machine component shown was cut from a thin, uniform plate. Denoting the mass of the component by m, determine its mass moment of inertia with respect to (a) the axis ,BB′(b) the centroidal axis CC′that is perpendicular to the plane of the component. SOLUTION First note ()42223mtAAaaaρ==−=or 23mtaρ=(a) Now , mass, areaBBBBItIρ′′=()()()()3342111612233333mtaaaaaaρ=−=−2, mass5or 3BBIma′=W(b) First locate centroid ()()222247264aaaayAYaAaa+−
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