23_Problem CHAPTER 9

23_Problem CHAPTER 9 - PROBLEMS 9.19 AND 9.20 CONTINUED h...

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PROBLEM 9.19 PROBLEMS 9.19 AND 9.20 CONTINUED 2 0 2s i n 2 2 a h A dA h x hx x dx aa π  == +   ∫∫ 2 2 4 cos 2 22 a a ax hx x =− + () 2 2 4 cos 2 2 2 a a ha a + 2 4 cos 2 a −− + 44 1 42 2 a h a a h ππ + + 0.77324 A ah = Moment of inertia 2 a x x a I dI = where ( ) 33 21 1 3 x dI y y dx Now 1 i n 2 32 x h dI h x h x dx 3 3 1 8s i n 2 x h d x Then 3 3 8 sin 2 323 x hh x I xdx dx Now 2 3 sin sin 1 cos 222 sin sin cos 2 cos cos 23 2 xdx x x dx aaa x dx x x dx a xx + πππ Then 2 2 sin cos cos 3 2 a a a a a x dx x x 4 1 − + =
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