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

2022
Views:

100

Pages:

2
Author:

FrextWhestembki

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 28. y = By observation b y 2h x= or  b dA = xdy =   2h Now dI x = y 2dA = Then I x = ∫ dI x = 2∫ 0 h b 3 y dy 2h 1 3 bh 4 = 0 y = From above Now h  y  dy  b 3 y dy 2h And b y4 = h 4 h x b 2 2h x b 2h   dA = ( h − y ) dx =  h − x  dx b   = h ( b − 2 x ) dx b And dI y = x 2dA = x 2 Then I y = ∫ dI y = 2∫ 02 b h ( b − 2 x ) dx b h 2 x ( b − 2 x ) dx b b h 1 1 2 = 2  bx3 − x 4  b 3 2 0 3 4 h b  b  1b  1 3 =2    −    = bh b  3  2  2  2   48 continued COSMOS: Complete Online Solutions Manual Organization System Now JO = I x + I y = 1 3 1 3 bh + bh 4 48 or J O = And bh 12h 2 + b 2 J 1 2 48 O kO = 12h 2 + b 2 = = 1 A 24 bh 2 ( ) ( bh 12h 2 + b 2 48 ( ) ) or kO = 12h 2 + b 2 24

COSMOS Chapter 9 Solution 28

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