Unformatted text preview: i. d  r ( t )  dt ii. v ( t ) · ˆ r ( t ), where ˆ r is the unit vector constructed from r ( t ). This manner of calculating ˙ r is geometric (see the ﬁgure on page 33), and uses the ﬁrst term of problem 1.11 of K&K. (b) The other component of the velocity, from the ﬁgure on page 33, is r ˙ θ ˆ θ . This component, according to problem 1.11, should also be (ˆ r ( t ) × v ( t )) × ˆ r ( t ). Evaluate (ˆ r ( t ) × v ( t )) × ˆ r ( t ), and show from its magnitude that:  ˙ θ  = ab a 2 cos 2 ( ωt ) + b 2 sin 2 ( ωt )  ω  . What happens when a = b ?...
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 Winter '06
 Nelson
 Physics, Weekday names, K&K problem, Harry Nelson

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