193_Problem CHAPTER 9

193_Problem CHAPTER 9 - PROBLEM 9.143 The machine element...

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PROBLEM 9.143 The machine element shown is fabricated from steel. Determine the mass moment of inertia of the assembly with respect to ( a ) the x axis, ( b ) the y axis, ( c ) the z axis. (The specific weight of steel is 3 0.284 lb/in . ) SOLUTION Have 3 2 0.284 lb/in 32.2 ft/s mV V V g γ ρ = == × ( ) 23 0.0088199 lb s /ft in V =⋅ Then ( ) ()() 2 3 2 1 0.0088199 lb s /ft in 4 2 in 0.88667 lb s /ft m π  =   ( ) 2 3 2 2 0.0088199 lb s /ft in 1 3 in 0.083126 lb s /ft m = ( ) ()( ) 2 3 2 3 0.0088199 lb s /ft in 1 2 in 0.055417 lb s /ft m = Using Fig. 9-28 and the parallel theorem, have ( a ) () ( ) ( ) 123 x xx x I III =+− () () () 2 22 2 11 f t 0.88667 lb s /ft 3 4 2
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