245_Problem CHAPTER 9

245_Problem CHAPTER 9 - PROBLEM 9.170 A piece of sheet...

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PROBLEM 9.170 A piece of sheet metal of thickness t and density ρ is cut and bent into the shape shown. Determine its mass moment of inertia with respect to a line joining points A and B . SOLUTION Have mV t A = = Then 22 12 1 2 mt a m t a ρρ == Compute moments and moments of inertia with respect to point A Now () ( ) xx x II I =+ 2 2 2 11 1 2 2 1 83 a ta a a ta a a     + + +        4 19 12 ta = ( ) ( ) yy y I 2 2 1 12 2 a ta a a  +  2 2 2 2 2 21 8 3 3 b ta a a
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