22_Problem CHAPTER 9

22_Problem CHAPTER 9 - PROBLEMS 9.19 AND 9.20 P 9.19...

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PROBLEMS 9.19 AND 9.20 P 9.19 Determine the moment of inertia and the radius of gyration of the shaded area shown with respect to the x axis. P 9.20 Determine the moment of inertia and the radius of gyration of the shaded area shown with respect to the y axis. SOLUTION First determine constants m , b, and c 1 :a t 2 , 0 yx ay = = ( ) 02 ma b = + At , x h = = ( ) hm a b = + Solving yields 2 h mb h a =− = Then 1 2 h h a + 2 t 2 , 0 a y = = ( ) 0s i n 2 ck a = At , 2 x h = = 2s i n hc k a = Solving ( ) sin 2 0 0 a c = () () sin
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