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

2023
Views:

215

Pages:

1
Author:

Lamghari6kx

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 86. From the solutions to Problem 9.72 and 9.80 1 I x + I y = 2812.21875 in 4 2 ( I xy = 501.1875 in 4 ) 1 I x − I y = −1946.53125 in 4 2 ( Then Equation (9.25): or ) tan 2θ m = − 2I xy Ix − I y 2θ m = 14.4387° =− 501.1875 = 0.257477 −1946.53125 194.4387° and or θ m = 7.22° and 97.2° Equation (9.27): I max, min = Ix + I y 2 2  Ix − I y  ±  + I xy2  2    = 2812.21875 ± ( −1946.53125 )2 + ( 501.1875 )2 = ( 2812.21875 ± 2010.0181) in 4 or I max = 4.82 × 103 in 4 and I min = 802 in 4 By inspection, the a axis corresponds to I min and the b axis corresponds to I max .

COSMOS Chapter 9 Solution 86

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