Find B and t for the space curve below. r(t) = = (4 sin 6t)i + (4 cos 6t)j + 10tk 12 cos 6t -i- 12 sin 6t -j+ , 13 5 -k 13 T = 13 N = sin 6ti – cos 6tj 36 K = 169 (Type an integer or a simplified fraction.)

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter4: Nonlinear Oscillations And Chaos
Section: Chapter Questions
Problem 4.21P
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Find B and t for the space curve below.
r(t) = (4 sin 6t)i + (4 cos 6t)j + 10tk
12 cos 6t
T =
12 sin 6t
-i-
j+ 13
13
-k
13
N =
sin 6ti – cos 6tj
36
K =
169
B = (Di+ Dj+ O «
(Type an integer or a simplified fraction.)
LO
Transcribed Image Text:Find B and t for the space curve below. r(t) = (4 sin 6t)i + (4 cos 6t)j + 10tk 12 cos 6t T = 12 sin 6t -i- j+ 13 13 -k 13 N = sin 6ti – cos 6tj 36 K = 169 B = (Di+ Dj+ O « (Type an integer or a simplified fraction.) LO
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