Find the decomposition of a(t) into tangential and normal components at the point indicated, as in Example
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Find the decomposition of a(t) into tangential and normal components at the point indicated, as in Example 6.
r(t) = (et, 1 − t), t = 0
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EXAMPLE 6 For r(t)= (1,2t, Int), determine the acceleration a(r). At t = 1, decom- pose the acceleration vector into tangential and normal components, and find the curva- ture of the path (Figure 8). * a=-2T+4N
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We have At t 0 this gives Therefore and by Eq 2 in the text Next ...View the full answer
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