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Zale101
 one year ago
"Frenetserre reference frame"
Zale101
 one year ago
"Frenetserre reference frame"

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Zale101
 one year ago
Best ResponseYou've already chosen the best response.2Find T(t), N(t), B(t) at the given point. \(r(t)=(t^21)i+tj;~ t=1\) \(r'(t)=2t+1j\) \(r'(t))=\sqrt{(2t)^2+1}=\sqrt{4t^2+1}\) \(T(t)=\LARGE \frac{r'(t)}{r'(t)}\) \(T(t)=\LARGE \frac{2ti+j}{\sqrt{4t^2+1}}\) \(T(1)=\LARGE \frac{2}{\sqrt{5}}i+\frac{1}{\sqrt{5}}j\) I am having trouble finding N(t).

Zale101
 one year ago
Best ResponseYou've already chosen the best response.2\(N(t)=\large\frac{T'(t)}{T'(t)}\)

Zale101
 one year ago
Best ResponseYou've already chosen the best response.2I tried solving for N(t) but when i took the derivative of T(t), it seemed complex in the N(t) equation. Is that okay?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1I think so, there is no easy way... you will have to work the messy derivatives...

Zale101
 one year ago
Best ResponseYou've already chosen the best response.2\(T'(t)=\large \frac{2}{(4t^2+1)^{3/2}}\frac{4t}{4t^2+1)^{3/2}}\) \(T'(t)=\sqrt{\frac{4}{(4t^2+1)^3}\frac{1}{4t^2+1}^{3/2}}}\)
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