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

2024
Views:

24

Pages:

1
Author:

gaarmaakbn9h

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 72. Note: Orientation of A3 corresponding to a 180° rotation of the axes. Equation 9.20 then yields I x′y′ = I xy • Symmetry implies Using Sample Problem 9.6 and Similarly, and ( I xy )1 = 0 ( I x′y′ )2 = − 721 ( 9 in.)2 ( 4.5 in.)2 = − 22.78125 in 4 X 2 = 9 in. Y2 = 1.5 in. A2 = 1 ( 9 in.)( 4.5 in.) = 20.25 in 2 2 ( I x′y′ )3 = − 721 ( 9 in.)2 ( 4.5 in.)2 = − 22.78125 in 4 X 3 = − 9 in. Y2 = −1.5 in. 0 A3 = ( )1 + ( I xy )2 + ( I xy )3 1 ( 9 in.)( 4.5 in.) = 20.25 in 2 2 Then I xy = I xy and I xy = I x′y′ + x y A Therefore, I xy = 2  − 22.78125 + ( 9 )(1.5)( 20.25)  in 4 with ( I xy )2 = ( I xy )3 = 501.1875 in 4 or I xy = 501 in 4