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

2020
Views:

197

Pages:

1
Author:

Tyshawn Shaffer

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 166. 2 dOA = First note that λ OA = Then 9 2 2 3   a  + ( −3a ) + ( 3a ) = a 2 2   1 3  1 ai − 3aj + 3ak  = ( i − 2 j + 2k ) 9  2  3 a 2 For a rectangular coordinate system with origin at point A and axes aligned with the given x, y, z axes, have (using Figure 9.28) Ix = Iz = = 3 1 2 2 m  a + ( 3a )  5 4  Iy = 3 ma 2 10 111 2 ma 20 I xy = I yz = I zx = 0 Also, symmetry implies With the mass products of inertia equal to zero, Equation (9.46) reduces to I OA = I xλx2 + I yλ y2 + I z λz2 2 2 = 111 2  1  3 111 2  2   2 ma   + ma 2  −  + ma   20 3 10 3 20     3 = 193 2 ma 60 2 or I OA = 3.22ma 2

COSMOS Chapter 9 Solution 166

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