20_Problem CHAPTER 9

20_Problem CHAPTER 9 - PROBLEM 9.17 Determine the moment of...

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PROBLEM 9.17 Determine the moment of inertia and the radius of gyration of the shaded area shown with respect to the y axis. SOLUTION At 12 , x ay y b = == 3 1 3 :o r b ybk a k a 2 r b ybm a m a = = Then 3 1 3 b yx a = 2 b a = Now () 3 21 3 bb dA y y dx x x dx a a  =− =   3 24 22 0 0 11 2 4 a a bx b A dA x dx x x aa = ∫∫ 2 4 2 2 4 ba b a a  =   Now 5 23 2 y dI x dA x dx a a Then 5 3 2 00 2 yy I dI x dx a a 46 0 1 44 6 6 a a a xx =−= 3 1 6 ab = or 3 1 6 y I =
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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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