COSMOS Chapter 9 Solution 58 | Michigan State University - Edubirdie

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

2021
Views:

218

Pages:

1
Author:

Dixie Summers

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 58. From Sec. 9.2: R = γ ∫ ydA M AA′ = γ ∫ y 2dA Let yP = Distance of center of pressure from AA′. We must have RyP = M AA ' : For a semiellipse yP = I AA′ = y = 2 M AA′ γ ∫ y dA I AA′ = = R γ ∫ ydA yA π 8 ab3 4b π , A = ab 3π 2 π Then yP = ab3 8  4b  π    ab   3π  2  or yP = 3π b 16

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