unit for the coordinates is meters. the pathline that passes through the point (x-1 m, y=1 m) at time t=0 pare the streamlines through the point (x=1 m, y=1 m) at time t=0, 1,

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Question

Please answer step by step so I can understand 

A flow is described by the flow field of V = A(1 + Bt)i + Ctyĵ, where A=1 m/s, B=1 s¹, and
C=1 s². The unit for the coordinates is meters.
a. Plot the pathline that passes through the point (x=1 m, y=1 m) at time t=0
b.
Compare the streamlines through the point (x=1 m, y=1 m) at time t=0, 1, and 2 s
c.
Calculate the acceleration at time t=0 along the streamline passing the point (x-1 m,
y=1 m) at time t=0
Transcribed Image Text:A flow is described by the flow field of V = A(1 + Bt)i + Ctyĵ, where A=1 m/s, B=1 s¹, and C=1 s². The unit for the coordinates is meters. a. Plot the pathline that passes through the point (x=1 m, y=1 m) at time t=0 b. Compare the streamlines through the point (x=1 m, y=1 m) at time t=0, 1, and 2 s c. Calculate the acceleration at time t=0 along the streamline passing the point (x-1 m, y=1 m) at time t=0
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Follow-up Question

Wouldn't C change at all different times(t)? 

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Follow-up Question

Can you please explain and show work on why y = 1?

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for part b, what happened to the t on the cty when integrating, can you please show this work again?

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