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179_Problem CHAPTER 9 - PROBLEM 9.137 A 0.1-in-thick piece...

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PROBLEM 9.137 A 0.1-in-thick piece of sheet metal is cut and bent into the machine component shown. Knowing that the specific weight of steel is 3 0.284 lb/in , determine the moment of inertia of the component with respect to each of the coordinate axes. SOLUTION 1 m V tA g γ ρ = = ( )( )( ) 3 2 0.284 lb/in 0.10 in. 38 in. 24 in. 32.2 ft/s = 2 0.80438 lb s /ft = ( ) ( )( ) 2 0.284 1 0.1in. 38 in. 24 in. 32.2 2 m = 2 0.402186 lb s /ft = ( ) ( ) 2 2 3 0.284 0.1in. 24 in. 0.39900 lb s /ft 32.2 4 m π = = Using Fig. 9.28 for component 1 and the equations derived for components 2 and 3, have ( ) ( ) ( ) 1 2 3
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