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199_Problem CHAPTER 9

199_Problem CHAPTER 9 - PROBLEM 9.146 An aluminum casting...

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PROBLEM 9.146 An aluminum casting has the shape shown. Knowing that the specific weight of aluminum is 3 0.100 lb/in , determine the moment of inertia of the casting with respect to the z axis. SOLUTION Have 3 2 0.10 lb/in 32.2 ft/s m V V V g γ ρ = = = ( ) 2 3 0.0031056 lb s /ft in V = Then ( ) ( )( )( ) 2 3 1 0.0031056 lbs /ft in 12 in. 3 in. 4.8 in. m = 2 0.53665 lb s /ft = ( ) ( )( )( ) 2 3 2 2 0.0031056 lb s /ft in
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