Explanation Given Info: V → = < 2,2,–1> a → = < 0,4,3> T → = ? N → = ? Decomposition a → = | a N | N → + | a T | T → = ? Formula Used: T → = V → | V → | ––––––– (1) Calculation: Substituting the given data in eqn(1) ð T → = 〈 2 , 2 , − 1 〉 2 2 + 2 2 + 1 1 ð T → = 〈 2 , 2 , − 1 〉 3 | a T | = a → · T → –––– ––– (2) Substituting the given data in eqn(2) ð | a T | = | 〈 0 , 4 , 3 〉 · 1 3 〈 2 , 2 , − 1 〉 | ð | a T | = 1 3 ( 0 + 8 − 3 ) = 5 3 N → = a N N → | a N | –––––– (3) Numerator of eqn(3) can be obtained by a N N → = a → − a T T → ––––––––– (4) Substituting the given data in eqn(4) ð a N N → = 〈 0 , 4 , 3 〉 − 5 3 1 3 〈 2 , 2 , − 1 〉 ð a N N → = 1 9 &...

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ISBN: 9781319055844

Author: FRANZOSA

Publisher: VST

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 14.5, Problem 30E

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$\vec{T}$ , $\vec{N}$ and the decomposition of $\vec{a}$ into tangential and normal components

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Chapter 14.5, Problem 29E

Chapter 14.5, Problem 31E

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Chapter 14 Solutions

EBK CALCULUS

Ch. 14.1 - Prob. 1PQ Ch. 14.1 - Prob. 2PQ Ch. 14.1 - Prob. 3PQ Ch. 14.1 - Prob. 4PQ Ch. 14.1 - Prob. 5PQ Ch. 14.1 - Prob. 6PQ Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E

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T → , N → and the decomposition of a → into tangential and normal components

Solution Summary: The author explains the formula used to determine T, N, and the decomposition of a tangential and normal component.

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$\vec{T}$ , $\vec{N}$ and the decomposition of $\vec{a}$ into tangential and normal components

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Chapter 14 Solutions

T → , N → and the decomposition of a → into tangential and normal components

Solution Summary: The author explains the formula used to determine T, N, and the decomposition of a tangential and normal component.

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T→,N→ and the decomposition of a→ into tangential and normal components

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Chapter 14 Solutions

$\vec{T}$ , $\vec{N}$ and the decomposition of $\vec{a}$ into tangential and normal components