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

2024
Views:

226

Pages:

1
Author:

Dixie Summers

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 11. −a At x = a : b = k 1 − e a    First note: or Have k = b 1 − e−1 I x = ∫ y 2dA b a 1− e 0 0 =∫ ∫ −x   1− e a  −1  3     y 2dydx 3 = −x 1  b  a 1 − e a  dx  −1  ∫ 0  31 − e    = −x −2 x −3 x 1  b  a 1 − 3e a + 3e a − e a  dx  −1  ∫ 0  31 − e    3 3 a −x 1 b    a  −2 x  a −3x   =  x − 3( − a ) e a + 3 −  e a −  − e a  −1   31 − e    2  3  0 3 1  b   1 1    =  a + 3ae−1 − 1.5ae−2 + ae −3  −  3a − 1.5a + a   −1   3  1 − e   3 3    = 1 ab3 3 1 − e −1 ( ) 3 11   1.91723 −  6  = 0.1107ab3 I x = 0.1107ab3

COSMOS Chapter 9 Solution 11

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