COSMOS Chapter 9 Solution 120 - Edubirdie

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

2019
Views:

477

Pages:

1
Author:

Lily Callahan

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 120. First locate the centroid C 1   X 2a 2 + a 2 = a 2 a 2 +  2 a + × 2 a  a 2 3   ( X ΣA = ΣxA: ) ( ) X = or Z ΣA = ΣzA: 14 a 9 1  1  Z 2a 2 + a 2 =  a  2a 2 +  a  a 2 2   3  ( ) ( ) Z = or (a) Have ( ) ( ) 4 a 9 ( I y, mass = I CC ′, mass + m X 2 + Z 2 ) From the solution to Problem 9.119 I y, mass = Then I cc′, mass = 65 2 ma 18  14 2  4 2  65 2 ma − m  a  +  a   18  9    9  or I cc′ = 0.994 ma 2 (b) Have and Then ( ) I x, mass = I BB′, mass + m Z 2 I AA′, mass = I BB′, mass + m (1.5a ) I AA′, mass = I x, mass 2 2  2 4   + m (1.5a ) −  a    9    From the solution to Problem 9.119 I x, mass = Then I AA′, mass = 5 ma 2 18 2  5 2 4   ma 2 + m (1.5a ) −  a   18  9    or I AA′ = 2.33ma 2

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