Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 10, Problem 50SP
To determine
To find: the tangential and normal components
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Please help with #2. I need to solve for the Unit tangent vector "T", the Unit Normal Vector "N", and the Curvature of the function "K"
thank you!
The Normal component of the acceleration of a moving object in space at
time t is given by aN
2
+ 1
If the radius of curvature at time t is given by p = 2(t3 + 1)3/2 , find the
Tangential component of the acceleration a, at t = 2.
Enter an integer or a fully reduced fraction such as -2 ,0, 15 ,3/4, -7/9 , etc.
No Spaces Please.
13. The position vector of a particle at time t is R = cos (t – 1) i + sinh (t – 1) j + ark. If at t = 1,
the acceleration of the particle be perpendicular to its position vector, then a is equal to
1
(a) 0
(b) 1
(c)
2
(d)
(AMIETE, Dec. 2009) Ans. (d)
Chapter 10 Solutions
Calculus
Ch. 10.1 - Prob. 1PSCh. 10.1 - Prob. 2PSCh. 10.1 - Prob. 3PSCh. 10.1 - Prob. 4PSCh. 10.1 - Prob. 5PSCh. 10.1 - Prob. 6PSCh. 10.1 - Prob. 7PSCh. 10.1 - Prob. 8PSCh. 10.1 - Prob. 9PSCh. 10.1 - Prob. 10PS
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