p0414 - 384 CHAPTER 4. KINEMATICS 4.14 Chapter 4, Problem...

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384 CHAPTER 4. KINEMATICS 4.14 Chapter 4, Problem 14 By definition, the velocity components in the Lagrangian description are u = X x t ~ x o ,y o = U w 1+ x L W and v = X y t ~ x o ,y o = U y L Hence, we can solve for x and y from the following differential equations: dx x/L = Udt and dy y = L Integrating, we find L f n (1 + x/L )= L f n (1 + x o /L )+ Ut and f ny = f ny o Ut/L whereweassume
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