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

2019
Views:

84

Pages:

1
Author:

marthamanayay9qr15

COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 19. (a) Have MO = r × F i j k = − 6 3 1.5 N ⋅ m 7.5 3 − 4.5 = [ (−13.5 − 4.5)i + (11.25 − 27) j + (−18 − 22.5)k ] N ⋅ m = ( −18.00i − 15.75 j − 40.5k ) N ⋅ m or M O = − (18.00 N ⋅ m ) i − (15.75 Ν ⋅ m ) j − ( 40.5 N ⋅ m ) k W (b) Have MO = r × F i j k = 2 − 0.75 −1 N ⋅ m 7.5 3 − 4.5 = [ (3.375 + 3)i + (−7.5 + 9) j + (6 + 5.625)k ] N ⋅ m = ( 6.375i + 1.500 j + 11.625k ) N ⋅ m or M O = ( 6.38 N ⋅ m ) i + (1.500 Ν ⋅ m ) j + (11.63 Ν ⋅ m ) k W (c) Have MO = r × F i j k = − 2.5 −1 1.5 N ⋅ m 7.5 3 4.5 = [ (4.5 − 4.5)i + (11.25 − 11.25) j + (−7.5 + 7.5)k ] N ⋅ m or M O = 0 W This answer is expected since r and F are proportional ( F = −3r ) . Therefore, vector F has a line of action passing through the origin at O. .

COSMOS Chapter 3 Solution 19

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