COSMOS Chapter 9 Solution 125 - Edubirdie

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

2024
Views:

412

Pages:

1
Author:

Arielle Armstrong

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 125. For the element shown: ab  y  y  dm = ρ  b  a  dy = ρ 2 y 2dy h  h  h  For thin plate: dI y = dI x′′ + dI z′′ 2 1 y  1 y  1 2 2 2  b  dm +  a  dm = 2 b + a y dm 3 h  3 h  3h = 1  ab  ρ ab 2 a 2 + b 2 y 2  ρ 2 y dy  = a + b 2 y 4dy 2 4 3h  h  3h ( m = ρV = ( ) I y = ∫ dI y = For pyramid, 2 = ρ ab 3h 4 (a ) ( 2 + b2 )∫ h 0 y 4dy = ρ ab 15 (a ) 2 ) + b2 h 1 ρ abh 3 1 1 I y =  ρ abh  a 2 + b 2 3 5 ( ) Iy = 1 m a 2 + b2 5 ( )

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