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

2019
Views:

444

Pages:

1
Author:

Athena Harrison

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 63. x dV x = ∫ EL ∫ dV Have dV = ydA where and xEL = x 60 1 x= x 300 5 Now y = Then 1    x = 1  ∫  5 x  dA   ∫ x  5 x  dA = ∫ x dA = ( I z ) A ∫ xdA ( xA) A 2 where ( I z ) A is the moment of inertia of the area with respect to the z axis, and x is analogous to y p Now ( Iz )A = 1 1 ( 240 mm )( 300 mm )3 + ( 240 mm )( 300 mm ) ( 200 mm )2 36 2 = 1.620 × 109 mm 4 and Then 1  xA = ( 200 mm )  ( 240 mm )( 300 mm )  = 7.20 × 106 mm 3 2  x = 1.620 × 109 mm 4 7.20 × 106 mm 3 or x = 225 mm

COSMOS Chapter 9 Solution 63

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