Unformatted text preview: t is given by . cos sin ) ( 2 k j i r t t t t + + = (a) Set up an integral that gives the distance travelled by the particle in the time interval . π ≤ ≤ t (b) Find the curvature of the particle’s path at t = 0. (c) Find the tangential and normal components of the particle’s acceleration at t = 0. 3. Consider the curve given by the pair of equations . 2 , 1 2 2 = + + = + z y x y x (a) Find a parametrization for this curve. Hint: Consider the first equation of the pair. (b) Find the curvature of the curve at the point (0,1,1). (c) Show that the curve is planar. Can you say anything about its shape?...
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 Spring '10
 BLUMAN
 Topology, General Relativity, Osculating circle

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