COSMOS Chapter 9 Solution 21 | Michigan State University - Edubirdie

University:
Michigan State University
Course:
ERG 160 | Success in Science, Technology, Engineering, and Mathematics
Academic year:

2024
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1
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omiliar74be

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 21. dI x = (a) Ix = 1 3 a dx 3 1 3 a a3 2 a ∫ − a dx = ( 2a ) = a 4 3 3 3 dI y = x 2dA = x 2adx I y = a∫ a 2 x dx −a JO = I x + I y = JO = kO2 A a  x3  2 = a   = a4  3  −a 3 2 4 2 4 a + a 3 3 4 4 a JO 2 k = = 3 2 = a2 A 3 2a 2 JO = 4 4 a 3 kO = a 2 3 (b) dI x = Ix = 1 3 a dx 12 a 3 2a a3 2a 1 4 dx = [ x] = 6 a ∫ 12 0 12 0 dI y = x 2dA = x 2 ( adx ) I y = a∫ 2a 2 x dx 0 JO = I x + I y = J O = kO2 A 2a  x3  8 = a   = a4 3  3 0 1 4 8 4 17 4 a + a = a 6 3 6 17 4 a J 17 2 kO2 = O = 6 2 = a A 12 2a JO = 17 4 a 6 kO = a 17 12

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