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

2023
Views:

51

Pages:

1
Author:

teespagmaxrtf

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 67. y = a 1− First note = 1 4a 2 − x 2 2 dI xy = dI x′y′ + xEL yEL dA Have dI x′y′ = 0 where yEL = ( symmetry ) xEL = x 1 1 y = 4a 2 − x 2 2 4 dA = ydx = Then x2 4a 2 1 4a 2 − x 2 dx 2 2a  1  1  I xy = ∫ dI xy = ∫ 0 x  4a 2 − x 2  4a 2 − x 2  dx 4  2  2a 1 2a 1 1  = ∫ 0 4a 2 x − x3 dx =  2a 2 x 2 − x 4  8 8 4 0 ( = a4 8 ) 1 2 4  2 ( 2 ) − 4 ( 2 )    or I xy = 1 4 a 2

COSMOS Chapter 9 Solution 67

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