COSMOS Chapter 9 Solution 42

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

2024
Views:

201

Pages:

1
Author:

MoGhoadoAnotozj11

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 42. Locate centroid y1 = 52.5 mm A1 = ( 84 mm )(105 mm ) = 8820 mm 2 y2 = 90 mm A2 = − 1 ( 42 mm )( 45 mm ) 2 = − 945 mm 2 y = Then = Σyi Ai ΣAi ( 52.5 mm ) (8820 mm 2 ) + ( 90 mm ) ( − 945 mm 2 ) 8820 mm 2 − 945 mm 2 = 48.0 mm I x = ( I x )1 − ( I x )2 Have 3 2 1 =  ( 84 mm )(105 mm ) + 8820 mm 2 ( 52.5 mm − 48.0 mm )  12  ( ) 3 2 1 −  ( 42 mm )( 45 mm ) + 945 mm 2 ( 90.0 mm − 48.0 mm )   36  ( ) = ( 8103375 + 178605 ) − (106312.5 + 1666980 )  mm 4 I x = 6.51 × 106 mm 4 ( )1 − ( I y )2 And I y = I y 3 3 1 1 =  (105 mm )( 84 mm )  − 2  ( 45 mm )( 21 mm )  12  12  = 5186160 − 2 ( 34728.75 )  mm 4 I y = 5.12 × 106 mm 4

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