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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 h h h + = = The weight of the body is given by ( ) ( ) 1 2 3 1 2 3 W mg g m m m g V V V ρ = = + = + or ( ) ( ) ( ) ( ) ( ) ( ) 3 2 2 2 2 3 1 ft 0.9 lb 32.2 ft/s 0.8 2.4 0.2 1.2 0.6 3.6 in 3 3 12 in. π π ρ π = × + × ( ) 2 3 3 32.2 ft/s 2.79253 0.02909 0.78540 10 ft ρ = × + × or 2 4 13.7266 lb s /ft ρ = Then ( ) ( ) 3 2 1 13.7266 2.79253 10 0.038332 lb s /ft m = × = ( ) ( ) 3 2 2 13.7266 0.02909 10 0.000399 lb s /ft m = ×
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