Unformatted text preview: 4. Find the velocity and acceleration vectors, the speed ds dt , as well as the tangential and normal components of acceleration for the motion described by R = t i + ln t j for t > . 5. For the curve R = ( tt 3 / 3) ,t 2 ,t + t 3 / 3), ﬁnd (a) the unit tangent and normal vectors T ( t ) and N ( t ) at any point, (b) Now ﬁnd the curvature κ ( t ), (c) Find the binormal B ( t ) and the torsion τ ( t ), (d) Find the length of the arc of the curve cut oﬀ between the planes z = 0 and z = 12. 1...
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 Spring '08
 KarlPeterRussell
 Math, Calculus, Osculating circle, unit tangent vector, curve cut oﬀ

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