MEC104 Experimental, Computer Skills and Sustainability: MATLAB Assignment
Due on Friday, 4th April, 2025, 18:00
Assignment Regulations
l This is an individual assignment. Every student MUST submit one soft copy of the assignment via the Learning Mall before the due date.
l A cover sheet can be created by yourself, but the following information MUST be included: student ID number, full name, and email address.
l In your answer sheet, all the formulas, derivations, completed MATLAB scripts and functions with original highlighted text format in MATLAB editor, computational results in the command window, and plotted figures, should be part of the answers. For each question, you can use screenshots to provide 1) your coding in MATLAB editor, 2) prompts in Command Window, 3) results in Command Window, 4) results shown by plots/figures.
l There is no hard requirement on how the answer sheet must be organized. You can organize your report question by question (i.e. give one section for each question). Then, for each section, you can organize it in your own way. However, the contents and information required by each question MUST be provided. You may follow a template on the next page to decide what information to be presented for each question.
l You may refer to MathWorks Documentation, textbooks, and lecture notes to discover approaches to problems. However, the assignment should be your own work.
l Where you do make use of other reference, please cite them in your work. Students are reminded to refer and adhere to plagiarism policy and regulations set by XJTLU. References, in IEEE style. can be attached as an appendix.
l Assignments may be accepted up to 5 working days after the deadline has passed; a late penalty of 5% will be applied for each working day late without an extension being granted. Submissions over 5 working days late will not be marked. Emailed submissions will NOT be accepted without exceptional circumstances.
A Suggestion on Information to be Presented for Each Question
For each problem, for example, Problem 4:
1. Equation derivations:
1) What equation do you use in your coding?
2) Also give all the coefficients, and source terms (e.g., external force/voltage), as necessary.
2. What initial conditions, boundary conditions, time periods, domain size, etc., (computational conditions) are used? Provide schematic diagrams as necessary.
3. Main programme:
Provide the coding below, with necessary comments.
4. Functions
1) Give information on what is this function used for, and what equation is solved, related to point 1.
2) Provide the coding below, with necessary comments.
5. Results
1) Present the results required by each question, which can be numbers, data tables, figures, as appropriate.
2) Comments and analysis of the results:
If required by a question, then you need to do this.
If not required, you can still do this if you wish, which is great!
If you think it is necessary to clarify your results and methods used, then please provide your comments.
6. Flow charts of your programme (if applicable).
Problem 1 (10 Marks)
Write a script. that can generate the figure below using the conditions and provide a screenshot. Hint: Check the descriptions of ‘figure’ in MathWorks Documentation.
Figure 1. Conditions and the example of the figure plotted for P 1.
Problem 2 (20 Marks)
P 2-1 (5 Marks, 1 Mark for each small question)
Type this matrix in MATLAB and use MATLAB to carry out the following instructions.
a) Create a vector v consisting of the elements in the third row of AA.
b) Create a vector w consisting of the elements in the second column of AA.
c) Create a 3 x 3 array BB consisting of elements consisting of rows 1 to 3 and columns 2 to 4 of AA.
d) Create a 2 x 2 array CC consisting of the first and second columns in the second and third rows of AA.
e) Create a 1 x 4 array DD consisting of all elements of CC by attaching the elements in the second row to the right side of the first row of CC.
P 2-2 (5 Marks, a): 1 Mark; b) 2 Marks; c) 2 Marks)
Generate and show arrays following the given conditions.
P 2-3 (10 Marks)
Find i1, i2, and i3 for the given circuit using MATLAB.
Figure 2. A schematic of an electronic circuit for P 2-2.
Problem 3 (30 Marks (20 Marks for programming and 10 Marks for displaying results)) The equation of motion for a pendulum whose base is accelerating horizontally with an acceleration a(t) is
Suppose that g = 9.81 m/s2 , L = 2 m, and θ (0) = 0. Plot θ(t) for 0 ≤ t ≤ 10 s for the following three cases:
a) The acceleration is constant: a = 3 m/s2 , and θ(0) = 0.5 rad.
b) The acceleration is constant: a = 5 m/s2 , and θ(0) = 3 rad.
c) The acceleration is linear with time: a = 0.5t m/s2 , and θ(0) = 3 rad.
Problem 4 (20 Marks, with 1) 10 Marks, 2) 10 Marks)
Consider a circuit system as shown in Figure 4.
Figure 4. A circuit with multiple resistors and inductors for Problem 4.
Question:
1) Derive the equations for i1 (t) and iL (t) for all t.
2) Obtain the plots of i1 (t) and iL (t) for all t.
Problem 5 (20 Marks, with 1) 5 Mark, 2) 5 Marks, 3) 10 Marks)
1) In Simulink, generate a model that simulates a noise-added sine wave with an amplitude offset of -1 at a time interval between 0 and 0.1 seconds. Set the noise to have 0 mean and 0.01 variance. Set the sample time of the icons to 0.0001 seconds. Show the screenshot of the Simulink model, the parameter setups for each icon, and the result using the scope of Simulink.
2) In Simulink, generate a model that simulates the addition of 2sin(2t) and 0.5sin(4t) with time between 0 and 5 seconds and show the result using the scope of Simulink.
3) Using Simulink, generate a model that can solve 0.2 + 5u. + 2u = 4t with the initial conditions of u(0) = 1 u. (0) = 1. Set the simulation time between 0 to 1 seconds and show the result using the scope of Simulink.