COSMOS Chapter 9 Solution 76 - Edubirdie

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

2020
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485

Pages:

1
Author:

Kundulu8mbj

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 76. ( I xy )1 = 0 Symmetry implies Using Sample Problem 9.6 and Equation 9.20, note that the orientation of A2 corresponds to a 1 2 2 90° rotation of the axes; thus I x′y′ = b h 2 72 ( ) ( I x′y′ )3 = 721 b2h2 Also, the orientation of A3 corresponds to a 270° rotation of the axes; thus ( I x′y′ )2 = 721 ( 9 in.)2 ( 6 in.)2 = 40.5 in 4 Then and x2 = − 6 in., y2 = 2 in., x3 = 6 in., and Then 1 ( 9 in.)( 6 in.) = 27 in 2 2 ( I x′y′ )3 = ( I x′y′ )2 = 40.5 in 4 Also Now A2 = 0 y3 = − 2 in., ( )1 − ( I xy )2 − ( I xy )3 I xy = I xy and A3 = A2 = 27 in 2 I xy = I x′y′ + x y A ( ( I xy )2 = ( I xy )3 ) I xy = −2  40.5 in 4 + ( 6 in.)( −2 in.) 27 in 2    = −2 ( 40.5 − 324 ) in 4 or I xy = 567 in 4

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