162_Problem CHAPTER 9

162_Problem CHAPTER 9 - PROBLEM 9.129 Shown is the cross...

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PROBLEM 9.129 Shown is the cross section of a molded flat-belt pulley. Determine its mass moment of inertia and its radius of gyration with respect to the axis . AA (The specific weight of brass is 0.306 lb/in 3 and the specific weight of the fiber-reinforced polycarbonate used is 0.0433 lb/in 3 .) SOLUTION First note for the cylindrical ring shown that () 22 21 4 mV t dd π ρρ == × and, using Figure 9.28, that 11 2 2 AA Im m  =−   1 84 4 td d d ππ × 44 1 td d ρ 2121 1 td d d d + ( ) 12 1 8 md d =+ Now treat the pulley as four concentric rings and, working from the brass outward, have ( ) ( ) 3 2 0.306lb/in 0.875 in. 0.55 in. 0.25 in.
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This note was uploaded on 07/11/2011 for the course EGM 2511 taught by Professor Jenkins during the Spring '08 term at University of Florida.

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