COSMOS Chapter 9 Solution 17 - Edubirdie

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

2024
Views:

466

Pages:

1
Author:

Athena Harrison

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 17. At x = a, y = b: k1 = or Then Now y1 = b 4 x a4 1 b = k1a 4 b = k2a 4 b a4 b k2 = y2 = and A = ∫ ( y2 − y1 ) dx = b∫ 1 a4  x 14 a  0 a 1 4 − b a 1 4 1 x4 x 4  dx a4   a  4 x 54 1 x5   = 3 ab = b − 1 4 5 5 a4 5 a   0 dA = ( y2 − y1 ) dx Now I y = ∫ x 2dA Then  b 1  b a I y = ∫ 0 x 2  1 x 4 − 4 x 4  dx  4  a a   9 x6  a x4 = b∫ 0  1 − 4  dx  a4 a    a  4 x 134 1 x 7  = b − 7 a4  13 a 14  0 1   4 = b  a3 − a3  7   13 or I y = Now ky = Iy A = 15 3 ab 91 = 3 ab 5 15 3 a b 91 25 a = 0.52414a 91 or k y = 0.524a

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