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220_Problem CHAPTER 9 - PROBLEM 9.156 A section of sheet...

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PROBLEM 9.156 A section of sheet steel 3 mm thick is cut and bent into the machine component shown. Knowing that the density of the steel is 3 7860 kg/m , determine the mass products of inertia , xy I , yz I and zx I of the component. SOLUTION First compute the mass of each component Have sT sT m V tA ρ ρ = = Then ( ) ( )( )( ) 3 3 1 7860 kg/m 0.003 0.08 0.09 m m = 0.169776 kg = ( ) 3 3 2 1 7860 kg/m 0.003 0.09 0.036 m 2 m = × × 0.03820 kg = Now observe that ( ) ( ) ( ) 1 1 1 0 ′ ′
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