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4. (Problem 2.29 on main book) A flow is described by the velocity field V = ayi + btj, where a = 0.2s-1, %3D b = 0.4m/s?. At t = 2 seconds, what are the coordinates of the particle that passed through point (1, 2) at t = 0? At t = 3s, what are the coordinates of the particle that passed through point (1,2) at t = 2s? Plot the pathline and streakline through point (1,2) and plot the streamlines through the same point at the instants t = 0, 1, 2, and 3 seconds.

4. (Problem 2.29 on main book) A flow is described by the velocity field V = ayi + btj, where a = 0.2s-1, %3D b = 0.4m/s?. At t = 2 seconds, what are the coordinates of the particle that passed through point (1, 2) at t = 0? At t = 3s, what are the coordinates of the particle that passed through point (1,2) at t = 2s? Plot the pathline and streakline through point (1,2) and plot the streamlines through the same point at the instants t = 0, 1, 2, and 3 seconds.

Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.11P
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4. (Problem 2.29 on main book) A flow is described by the velocity field V = ayi + btj, where a = 0.2s-1, %3D b = 0.4m/s?. At t = 2 seconds, what are the coordinates of the particle that passed through point (1, 2) at t = 0? At t = 3s, what are the coordinates of the particle that passed through point (1,2) at t = 2s? Plot the pathline and streakline through point (1,2) and plot the streamlines through the same point at the instants t = 0, 1, 2, and 3 seconds.
Transcribed Image Text:4. (Problem 2.29 on main book) A flow is described by the velocity field V = ayi + btj, where a = 0.2s-1, %3D b = 0.4m/s?. At t = 2 seconds, what are the coordinates of the particle that passed through point (1, 2) at t = 0? At t = 3s, what are the coordinates of the particle that passed through point (1,2) at t = 2s? Plot the pathline and streakline through point (1,2) and plot the streamlines through the same point at the instants t = 0, 1, 2, and 3 seconds.
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