PROBLEM 9.196 Determine the moments of inertia and the radii of gyration of the steel machine element shown with respect to the xand yaxes. (The density of steel is 7850 kg/m3.) SOLUTION First compute the mass of each component. Have stmVρ=Then ()3317850 kg/m0.240.040.14 mm=××10.5504 kg=2237850 kg/m0.070.04 m2.41683 kg2mmπ==×=()2457850 kg/m0.0440.04m1.90979 kg×=Using Figure 9.28 for components 1, 4, and 5 and the equations derived above (before the solution to Problem 9.144) for a semicylinder, have () () () () () ( ) ( )123452 3where xxx xx xxxIIIIIIII=+++−=()()2221110.5504 kg 0.040.14m
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