SOLVED:The following formulas, called the Frenet-Serret formulas,… | Numerade
SOLVED:The following formulas, called the Frenet-Serret formulas,…
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The following three formulas (called the Frenet-Serret formulas... | Filo
The following three formulas (called the Frenet-Serret formulas... | Filo
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SOLVED:Use the Frenet-Serret formulas (see exercise 42 ) to establish each of the following formulas: (a) 𝐫^''(t)=s^''(t) 𝐓 κ[s^'(t)]^2 𝐍 (b) 𝐫^'(t) ×𝐫^''(t)=κ[s^'(t)]^3 𝐁 (c) 𝐫^'''(t)={s^'''(t)-κ^2[s^'(t)]^3} 𝐓 {3 κs^'(t) s^''(t). . κ^'(t)[s^'(t)]^2} 𝐍 κτ[s^'(t)]^3 𝐁 (d) τ=([𝐫^'(t) ×𝐫^''(t)] ·𝐫^'''(t))/(𝐫^'(t) ×𝐫^''(t)^2)
SOLVED:Use the Frenet-Serret formulas (see exercise 42 ) to esta…
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