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

2020
Views:

265

Pages:

1
Author:

Hundebuchesn

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 90. From Problems 9.78 and 9.84 I xy = 2.81 in 4 I x = 9.45 in 4 I y = 2.58 in 4 1 I x + I y = 6.015 in 4 2 ( Then ) 1 I x − I y = 3.435 in 4 2 ( Equation (9.25): ) tan 2θ m = − 2 I xy Ix − I y 2θ m = −39.2849° Then =− and 2 ( 2.81) 9.45 − 2.58 = −0.8180 140.7151° or θ m = −19.64° and 70.36° ! Also, Equation (9.27): I max, min ( Ix + I y ) ± = 2 2  Ix − I y  2   + I xy 2   = 6.015 ± 3.4352 − 2.812 = ( 6.015 ± 4.438 ) in 4 or I max = 10.45 in 4 ! and I min = 1.577 in 4 ! Note: By inspection, the a axis corresponds to I max and the b axis corresponds to I min .

COSMOS Chapter 9 Solution 90

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