164_Problem CHAPTER 9

164_Problem CHAPTER 9 - PROBLEM 9.130 Shown is the cross...

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PROBLEM 9.130 Shown is the cross section of an idler roller. Determine its moment of inertia and its radius of gyration with respect to the axis . AA (The density of bronze is 8580 kg/m 3 ; of aluminum, 2770 kg/m 3 ; and of neoprene, 1250 kg/m 3 .) SOLUTION First note for the cylindrical ring shown that ( ) () 22 21 44 mV t dd t π ρρ ρ == × −= and, using Figure 9.28, that 11 2 2 AA Im m  =−   1 84 4 td d d ππ × 1 td d 2121 1 td d d d + ( ) 12 1 8 md d =+ Now treat the roller as three concentric rings and, working from the bronze outward, have Have ( ) ( ) { 3 8580 kg/m 0.0195 m 0.009 m 0.006 m 4 m   
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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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