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

2023
Views:

489

Pages:

1
Author:

Lily Callahan

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 48. Locate centroid: 4 (12 in.) y1 = = 3π 16 in. π y2 = 4 in. A1 = π 2 (12 in )2 = 72π in 2 A2 = − (12 in.)( 8 in.) = − 96 in 2 Then y = Σ yi Ai ΣΑi  16  2 2  in.  72π in + ( 4 in.) − 96 in π   = 72π in 2 − 96 in 2 ( ) ( ) = 5.8989 in. (a) Have JO = I x + I y Where I x = ( I x )1 − ( I x )2 1 4 3 π =  (12 in.) − (12 in.)( 8 in.)  3 8  = 6095.0 in 4 And ( )1 − ( I y )2 Iy = Iy 1 4 3 π =  (12 in.) − ( 8 in.)(12 in.)  12 8  = 6991.0 in 4 Then J O = ( 6095.0 + 6991.0 ) in 4 = 13086.0 in 4 (b) Have J O = 13.09 × 103 in 4 J O = J C + Ay 2 2 13086.0 in 4 = J C + ( 72π − 96 ) in 2  ( 5.8989 in.) J C = 8.555 × 103 in 4 J C = 8.56 × 103 in 4

COSMOS Chapter 9 Solution 48

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