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.
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EXAMPLE 6 For r(t)= (1,2t, lnt), determine the acceleration a(r). Atr=, 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 1 this gives Therefore vt r t 13 at v t r t 2t0 and by Eq 2 in th...View the full answer
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