PROBLEM 9.154 Determine the mass products of inertia Ixy, Iyz, and Izxof the cast aluminum machine component shown. (The density of aluminum is 2700 kg/m3.)SOLUTION Have mVρ=Then ()3312700 kg/m0.1180.0360.044 m0.50466 kgm=××=222700 kg/m0.0220.036 m0.07389 kg2mπ=( )32700 kg/m0.0280.0220.024 m0.03992 kgm×=Now observe that ,xyyzII′′and zxIare zero because of symmetry Now 240.0230.118m0.12734 m3x×=−+30.0620.036m0.025 m2y=,kgm,mxyz2kg mmx y⋅2kg mmy z
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This note was uploaded on 07/11/2011 for the course EGM 2511 taught by Professor Jenkins during the Spring '08 term at University of Florida.