Express the vectors illustrated in Figs. 1-11(c), 1-13, 1-14, and 1-15 in the form R= Ri + Rj+ R.k (leave out the units). 5.7 m -3.2 m 71 m 94 m Fig. 1-13 Fig. 1-14 S = 60 sin 40° = 39 m 60 m 40° 60 cos 40° = 46 m Fig. 1-15

Classical Dynamics of Particles and Systems
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ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter1: Matrices, Vectors, And Vector Calculus
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Problem 1.19P
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Express the vectors illustrated in Figs. 1-11(c), 1-13, 1-14, and 1-15 in the form R= R‚i + R,j + R¸k
(leave out the units).
5.7 m
-3.2 m
71 m
94 m
Fig. 1-13
Fig. 1-14
= 60 sin 40° = 39 m
60 m
40°
S = 60 cos 40° = 46 m
Fig. 1-15
Remembering that plus and minus signs must be used to show direction along an axis,
R = -0.88Î + 4.48ĵ
R = 5.7i – 3.2j
R = -94i + 71j
R = 46i + 39j
For Fig. 1-11(c):
For Fig. 1-13:
For Fig. 1-14:
For Fig. 1-15:
%3D
Transcribed Image Text:Express the vectors illustrated in Figs. 1-11(c), 1-13, 1-14, and 1-15 in the form R= R‚i + R,j + R¸k (leave out the units). 5.7 m -3.2 m 71 m 94 m Fig. 1-13 Fig. 1-14 = 60 sin 40° = 39 m 60 m 40° S = 60 cos 40° = 46 m Fig. 1-15 Remembering that plus and minus signs must be used to show direction along an axis, R = -0.88Î + 4.48ĵ R = 5.7i – 3.2j R = -94i + 71j R = 46i + 39j For Fig. 1-11(c): For Fig. 1-13: For Fig. 1-14: For Fig. 1-15: %3D
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