Lab8 Answer Template

Drexel University, College of Engineering 2023-2024 Academic Year Drexel University Office of the Dean of the College of Engineering ENGR 232 – Dynamic Engineering Systems Lab 8 Answer Template Section: 60 Name: _ _ _ _ Stanley _ _ _ _ _ _ _ _ _ _ _ _ _ _ Zhu Water Clocks – Polyvascular Clepsydra First Last Questions 3-4: Paste your completed phase plot here. (2 points) Question 1: Record your answer for H ( t ) = 1 − y 1 ( t ) here. Answer: H ( t ) = ¿ 1-e^-t Question 2: Record your answer for H ( 1 ) here. Answer: H ( 1 ) = ¿ 0.633 Give answer to at least three decimals. 1

Drexel University, College of Engineering 2023-2024 Academic Year Question 9: Replace the sample plot with the correct graph for a clepsydra with four vessels. (not 6!) Question 5: Record your solution for the two unknowns y 1 ( t ) and y 2 ( t ) . The first is given for you. Answer: y 1 ( t ) = e − t , y 2 ( t ) = ¿ Question 6: Record your answers for the cumulative outflows. The first is given for free. Answer: f 1 ( t ) = 1 − e − t , f 2 ( t ) = ¿ Question 7: The solution in the transform domain is: ⃗ X ( s ) = [ X 1 ( s ) X 2 ( s ) ] where X 1 ( s ) = 1 s + 1 and X 2 ( s ) = ¿ (s+2)/(s+1)^2 Question 8: Complete this code to find the cumulative flow vector ⃗ f ( t ) using Laplace transforms: syms s A = [-1 0; 1 -1]; x0 = [1; 1]; X = inv(s*eye(2) - A)*x0; F = X/s; f = ilaplace(F); 2