300_Problem CHAPTER 9

300_Problem CHAPTER 9 - PROBLEM 9.198 A 20-mm-diameter hole...

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PROBLEM 9.198 A 20-mm-diameter hole is bored in a 32-mm-diameter rod as shown. Determine the depth d of the hole so that the ratio of the moments of inertia of the rod with and without the hole with respect to the axis AA is 0.96. SOLUTION First note Cylinder: ( ) 22 1 2 AA I ma m V a L ρρ π == = × 4 1 2 aL πρ = Cone: 3 10 3 AA I ma m V a h  = ×   4 1 10 ah = Now ( ) () bored solid 0.96 AA AA I I = or ( ) ( ) ( ) solid solid hole 0.96 AA AA AA III ′′′
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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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