217_Problem CHAPTER 9

217_Problem CHAPTER 9 - PROBLEM 9.154 Determine the mass...

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PROBLEM 9.154 Determine the mass products of inertia I xy , I yz , and I zx of the cast aluminum machine component shown. (The density of aluminum is 2700 kg/m 3 .) SOLUTION Have mV ρ = Then () 33 1 2700 kg/m 0.118 0.036 0.044 m 0.50466 kg m × = 2 2 2700 kg/m 0.022 0.036 m 0.07389 kg 2 m π  =   ( ) 3 2700 kg/m 0.028 0.022 0.024 m 0.03992 kg m × = Now observe that , x yy z I I ′′ and zx I are zero because of symmetry Now 2 40 . 0 2 3 0.118 m 0.12734 m 3 x ×  =− +   3 0.062 0.036 m 0.025 m 2 y = ,kg m ,m x y z 2 kg m mx y 2 kg m my z
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