Mikolitis-Quiz2 - EGM 3400/3401 Spring 2007 Quiz 2 Open...

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EGM 3400/3401 NAME:_______________________ Spring 2007 Quiz 2 Open book/Closed notes – Time limit = 25 minutes A particle moves with 2 2 () 5 , () 5 10 mm m x tt y ss == t s . Find the radius of curvature of the path when t = 0 seconds and when t = 0.4 seconds. 2 55 2 0 20 m vi t s m aj s ⎛⎞ =+− ⎜⎟ ⎝⎠ =− rr r r r j At t = 0, () 2 2 2 2 22 10 2 25 52 3.536 2 10 2 tn nn n j ei j e i m aa e s v v am m m ρ =+⇒ j =⋅ = =⇒ = = r rrr ± r r r At t = 0.4 s, 2 3 2 53 35 34 34
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