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183_Problem CHAPTER 9

# 183_Problem CHAPTER 9 - PROBLEM 9.139 The cover of an...

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PROBLEM 9.139 The cover of an electronic device is formed from sheet aluminum that is 2 mm thick. Determine the mass moment of inertia of the cover with respect to each of the coordinate axes. (The density of aluminum is 3 2770 kg / m .) SOLUTION Have m V ρ = Now ( ) ( )( )( ) 3 1 2770 kg/m 0.002 m 0.048 m 0.06 m m = 0.015955 kg = ( ) ( )( )( ) 3 2 2770 kg/m 0.002 m 0.06 m 0.124 m m = 0.041218 kg = ( ) ( )( )( ) 3 3 2770 kg/m 0.002 m 0.048 m 0.124 m m = 0.032974 kg = Using Fig. 9.28 and the parallel axis theorem, have ( ) ( ) ( ) ( ) ( ) ( ) 1 2 3 4 3 4 and x x x x x x x I I I I I I I = + + + = ( ) ( ) ( ) ( ) 2 2 2 2 1 1 1 1 0.015955 kg
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