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Last updated 7:42 AM on 12/12/22
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14 Terms
1
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parameterize arc length
int a to b, abs value of r’ (u) du
2
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curvature equation 1
|T’(t)| / |r’(t)|
3
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curvature equation 2
|r’(t) x r’’(t)| / |r’(t)| ^ 3
4
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special curvature equation
|f’’(x)| / (1 + f’(x)^2)^3/2
5
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radius of circle
1/k
6
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normal plane direction
r’(t)
7
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osculating plane direction
r’(t) x r’’(t)
8
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motion in space: normal acceleration
|r’(t) x r’’(t)| / |r’(t)|
9
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motion in space: tangential acceleration
r’(t) dot r’’(t) / |r’(t)|
10
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unit T(t)
r’(t) / |r’(t)|
11
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unit N(t)
T’(t) / |T’(t)|
12
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normal plane equation
r’(t)
13
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Law of vectors
TNB
14
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osculating plane equation
r’(t) x r’’(t) < x-x0, y-y0, z-z0?
