COSMOS Chapter 9 Solution 36 - Edubirdie

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

2024
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1
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crawniadxfo

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 36. Have I x = ( I x )1 − ( I x )2 − ( I x )3 3 1 π  π  =  ( 3a )( 2a )  −  a 4  −  a 4  12   8  8  π π π   =  2 − −  a4 =  2 −  a4 8 8 4   or I x = 1.215a 4 Also ( )1 − ( I y )2 − ( I y )3 Iy = Iy 2 1 3 a  =  ( 2a )( 3a ) + ( 3a )( 2a )     2   12 2 2   π π  4a   π  4a   −   a 4 − a 2    + a 2  2a −   2  3π   2  3π     8  2 2   π π  4a   π  4a   −  a4 − a2    + a2  a −   2  3π   2  3π     8  8 8 8  4 9 3 π =  +  a4 −  − + 2π − + a 3 9π  2 2  8 9π 8 π 4 8 π − − + − + 2 3 9π  8 9π 11π  4   a =  10 − 4    4 a  = 1.3606a 4 or I y = 1.361a 4

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