PROBLEM 9.138 A 3-mm-thick piece of sheet metal is cut and bent into the machine component shown. Knowing that the density of steel is 37850 kg / m , determine the moment of inertia of the component with respect to each of the coordinate axes. SOLUTION First compute the mass of each component. Have ststmVtAρρ==()()317850 kg/m0.003 m0.70 m0.780 m12.858 kgm2327850 kg/m0.003 m0.39 m5.6265 kg2mπ()3317850 kg/m0.003 m0.780 m0.3 m2.7554 kg2mUsing Fig. 9-28 for component 1 and the equations derived above for components 2 and 3 have () () ()123xxx xIIII=++22210.7812.858 kg0.78m122=+2222211640.395.6265 kg
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