PROBLEM 9.113 The quarter ring shown has a mass mand was cut from a thin, uniform plate. Knowing that 1122,rr=determine the mass moment of inertia of the quarter ring with respect to (a) axis ,AA′(b) the centroidal axis CC′that is perpendicular to the plane of the quarter ring. SOLUTION First note massmVtAρ===( )22214trrπ=−Also massareaItI=()area4mI=−(a) Using Figure 9.12, ( )44, area2116AAI′Then ( ), mass21164AAm
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