ME2543 Exam3

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School

Louisiana State University *

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Course

2543

Subject

Mechanical Engineering

Date

Dec 6, 2023

Type

pdf

Pages

Uploaded by EarlToad129

ME2543 Exam 3 TOTAL POINTS 81/100 QUESTION 1 - 6 pts No response for **[|]** T5pts QUESTION 3 1.17@2/4 3 10 pts - 0 pts Correct 3.17a@3/5 - 1 pts Denominator is $$2\Delta t$$ -0 pts Correct - 1 pts Terms in approximation should be $$f(x_i)$$ etc. not $$x_i$$ v - 2 pts Incorrect; need to use a backward looking v -2 pts I[Matrix.JPG](/files/8affa452-4f12-499b-8c13- **second order** approximation since you're at the 205530b35¢59) **end** of the array, i = 501, see page 11 3.2bs/5 1.2b 171 v - 0 pts Correct v - 0 pts Correct - 2 pts Incorrect -1 pts N =501 - 5 pts No response QUESTION 2 QUESTION 4 229/1 9/10 4 20 pts - 0 pts Correct - 1 pts Incorrect unkowns, $$\vec{x} = [\theta_1; 47d4/4 \theta_R; L_2]$$ v - 0 pts Correct Vv - 1 pts Need to include **full equations** in - 0.5 pts Notation in correct (including a $$\vec{f}$$ (including constant terms) $$\sums$$, for example) -3 pts -2 pts $$1/R {eff} =1/100 + 1/150 + 1/200%$%, etc. I[Jacobian.]JPG](/files/98112495-6096-4b8b-9265- 29fe0a4271ff) 42b8/s - 2 pts No response for $$\vec{f}$$ v - 0 pts Correct

- 2 pts Incorrect function logic - 3 pts Incorrect function structure - 8 pts No response 43C8/8 v - 0 pts Correct or error carried forward from previous part - 3 pts Missing/incorrect _fprintf_ command - 3 pts No calling of _flowresistance_ function - 8 pts No response QUESTION 5 520 pts 517a5/8 - 0 pts Correct v -3 pts I[2ndODE.JPG](/files/873a7dba-d983-4e€93-9132- d2b677806ff2) - 8 pts No response - 2 pts Need two equations 52b3re - 0 pts Correct or error carried forward from a) v - 3 pts Incorrect_ode45_ function call v - 2 pts Incorrect/missing ode45 function definition - 8 pts No response 53C4/4 v - 0 pts Correct or error carried forward from a) - 1 pts Incorrect _max(theta)_request - 3 pts No response or missing output message 54 ABET S01.3 - Ability to Solve Complex Page 2 Engineering Problems o/o0 - 0 pts Poor v - 0 pts Inadequate - 0 pts Adequate - 0 pts Excellent QUESTION 6 6 Missing 10710 v - 0 pts This question was missing; full credit awarded QUESTION 7 7a)-C) 25 pts 7.1A19/25 - 0 pts Correct - 25 pts No response v -3 pts b) $5F(v)$% vs. $3v$$ plot incorrect - 5 pts ¢) Missing trapezoidal rule for numerical integration - 6 pts b) No $$F(v)$$ vs. $$v$$ plot v - 3 pts ¢) No display of $3P$$ - 2 pts Incorrect $$P$$ - 3 pts a) $$v = 0:0.05:5%% 7.2 ABET S01.5 - Applying principles of mathematicso/0 - 0 pts Poor - 0 pts Inadequate v - 0 pts Adequate - 0 pts Excellent

ME 2543-1 Simulation Methods for Engineers using MATLAB Spring 2023 listrucior: Aindiew Beciel Final Exam Name: _\ Last 4 digits of LSU ID: 89-XXX- The exam is closed-book, closed-notes. You may only use a cheat sheet of MATLAB functions and commands, which you must submit with the completed exam, and the MATLAB help documentation. The use of other notes, websites, previously-written codes, other students’ work, calculators, or smart devices is strictly prohibited! Your screen may be monitored. Write the Last 4 digits of your LSU ID at the top of every page. Please read the questions carefully and be sure to answer them completely. Algorithms are given at the end of the exam. Problems may require written work, MATLAB coding, or both. For written work, write your answers on the pages provided and turn them in at the end of the exam. Please show your work where possible. Do not write on the back of any page! For the coding problems, please write a separate M-file for each problem. Include your name and the problem number in comments. Include enough comments for us to follow your logic. You may iaunch MATLAB on the iaboratory computers to write your codes. When they are completed, you should upload your codes to the Moodle page for this course. DO NOT LEAVE THE EXAMINATION AREA until you have: e Uploaded all necessary M-files to the Moodle page, and e Verified that the uploads were completed successfully. TURN IN THE FOLLOWING: e lhis signed exam paper, ® Your list of MATLAB commands and functions. Academic Honesty Agreement Please sign below to indicate that you have read and agree to the following statements. I declare that all answers given on this exam are my own work. I understand that copying another student’s work, allowing another student to copy my work, or disciosing the contents of this exam to a student who has not yet taken the exam is a serious violation of the LSU Code of Student Conduct, and may result in sanctions as determined by LSU Student Accountability and Advocacy. Signature:

Last 4 digits of LSU ID: Problem 1. (Written) [5 pts] You are given a set of position (x;) versus time (t;) data using the format shown below. a) [4 pts] Write an expression to approximate the speed v = dx/dt when t = 50 s. The approximation should be second-order accurate. Write the expression in terms of the known vaiues (x;, x,, X3, elc.). ) i 1 2 3 4 N t, (s) 0.0 0.1 0.2 03] .. 50.0 xm) | 3171 383 426l 496] 22.86 Write your expression below. glzseta 1) - x(zrie-.f) i il Bt PR il v(505) ~ o | / b) [1pt] Assuming the times are evenly spaced, how many tot:mta points are there? — \ | I v= HO| | J f X iy - < - x (31 + AB) -x (2-0%) — n _E_(_)_:SOO‘\" 'l Page 2/13

Last 4 digits of LSU ID: Problem 2. (Written) [10 pts] In order to position a robot arm in two-dimensions, we need to solve for 6, Oz, and L, that satisfy the following equations: \/\,\) 3 cos 91 + £L2 =0.5 un known s 2 - Set up the problem as if you were going to solve it using the Newton-Raphson method. Define your vector.x, your vector function f (), and find the expressions for all terms of the Jacobian. Write your answers in the spaces béTow. el N {6059\ ¥ r-"ziLt i \ x=1 L f=|sin & © i, “6 \ g,| + O@ / F Q_i ’»'FI a-t-, 1 26, ol 26¢ o 2 pL = ’a;p_}_ ./ - 28, 3]_2 20¢ 245 LS PAS L 26y L. 16r i 6, | < [ —5in 6, \}% 0 e L. Cos 9. - _'1 9] ok\ Tn ¢ | \ % X0 1f Hy ~ O Page 3/13