296_Problem CHAPTER 9

296_Problem CHAPTER 9 - PROBLEM 9.195 Determine the mass...

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PROBLEM 9.195 Determine the mass moment of inertia of the 0.9-lb machine component shown with respect to the axis AA . SOLUTION First note that the given shape can be formed adding a small cone to a cylinder and then removing a larger cone as indicated. Now 2.4 or 1.2 in. 0.4 1.2 hh h + == The weight of the body is given by ( ) ( ) 123 1 2 3 Wm gg mmm g VVV ρ + −= + or () 3 222 23 1 ft 0.9 lb 32.2 ft/s 0.8 2.4 0.2 1.2 0.6 3.6 in 33 1 2 i n . ππ ρπ  + ×    ( ) 3 32.2 ft/s 2.79253 0.02909 0.78540 10 ft + × or 24 13.7266 lb s /ft =⋅ Then ( ) 32 1 13.7266 2.79253 10 0.038332 lb s /ft m = ( ) 2 13.7266 0.02909 10 0.000399 lb s /ft
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