Homework and Reading guide

ME 012, Spring 2009

Homework guidelines: Homework is due at midnight Fri. in the box outside 122 Votey. On every homework assignment please do the things listed below. After a few weeks of getting used to these you will have to follow all of them to get any credit on homework.

a) On the top right corner neatly print the following, making appropriate substitutions as appropriate:
    Sally Rogers
     HW 2 Due Feb. 4, 2006
     ME 012
b) STAPLE your homework in the top left corner.
c) Use only the front side of each sheet.
d) You are encouraged to work with others on homework; you will gain more by explaining to and learning from other students. At the top clearly acknowledge all help you got from TAs, faculty, students, or ANY other source (but for lecture, text, and office hours only). Examples could be "Mary Jones pointed out to me that I needed to draw the second FBD in problem 2." or "Nadia Chow showed me how to do problem 3 from start to finish." or "I basically copied this solution from a Tau Beta Sigma frat file." etc. If your instructor or grader thinks you are taking too much from other sources he/she will tell you. In the mean time, don't violate academic integrity rules and be unclear about what of your presentation you worked out on your own.
e) Every use of force, moment, momentum, or angular momentum balance must be associated with a clear correct free body diagram.
f) Your vector notation must be clear and correct.
g) Every line of every calculation must be dimensionally correct. (Carry your units.)
h) Your work should be laid out neatly enough to read. Part of your job as an engineer is not just to get the right answer, but to communicate its justification clearly. So that is part of your job on the homework as well.
i) Write equations in symbolic form before plugging in numerical values and solving. It makes it easier for you and us to check your work. This is also a much desired practice for your exam solutions.

Homework grading and solutions: We will grade carefully two of the homework problems each week counting for 50% of the total points; the rest will be checked for an honest attempt to complete them and count for the remaining 50%. The carefully graded problems will not be announced in advance. We will penalize late homework and will not accept homework after the solutions are posted. Solutions will be posted at the course web site on the Monday after the homework is due.

Homework assignments:

NOTE:
(1) Homework problems are at end of book.
(2) starred problems have some brief answers at the back of the book.
(3) You DO NOT have to do any part of any problem that asks for a computer solution or a computer plot, unless I SPECIFY THAT YOU DO SO.

Homework 1, due Fri., Jan. 16:
Topic: Intro., review of vectors, free body diagrams, and statics
Reading guide:

*First two tables inside the cover of the book: without studying them explicitly, you will learn all that's in these tables as the semester progresses. Read through them quickly at the start of the semester and check your progress occasionally as the semester progresses. *Preface: Read and absorb the "guide to student". *Chapter 1 (What is Mechanics?): Read and understand. Review -- *Chapter 2 (Vectors for Mechanics): You need to know all of this vector material well. *Chapter 3 (Free Body Diagrams): You need to know the material here well. *Chapters 4 and 6 (Statics, Transmissions and mechanisms): The ideas in the introduction and sections 4.1-4.3, 4.5,6.1-6.3 are essential for dynamics. .

0) Please read the homework guidelines at the top of this WWW page.  Write "I have read and I understand the homework guidelines." 1) 4.15,   2) 4.19,   3) 4.38,   4) 4.49,   5) 4.99,   6) 6.1,   7) 6.19,  
Homework 2, due Mon., Jan. 26.
Topic: Dynamics in 1D: Force, motion, and vibrations.
Reading guide: Chapter 9: sections 1,3.
Problems: *) Make sure you can do problems 9.1-9.10, 9.44, 9.46-9.49 but don't hand in. 1) 9.11,   2) 9.16,  3) 9.19,  4) 9.24 (a),(b) (part (c) is extra credit; for the computer part, use m = 1 kg, g=10 m/s^2, drag constant = c = 2 N/(m/s)^2),  5) 9.45,  6) 9.48,  7) Extra credit, 9.25.
Homework 3, due Mon., Feb 2.
Topic: Dynamics in 1D: Energy methods,damped spring mass systems.
Reading guide: Chapter 9: sections 2,3.
Problems: *) Make sure you can do problems 9.28-9.29 but don't hand in. 1) 9.30, 2) 9.33,  3) 9.43, part 1; parts 2-5 are optional extra-credit   4)9.56.(Ignore the solution in the back of the book; it's incomplete.)
Homework 4, due Mon, Feb. 9.
Topic: Dynamics in 1D: coupled motions, 1D momentum-impulse and collisions.
Reading guide: Chapter 9: sections 4,5.
Problems: 1) 9.67,  2) 9.69,  3) 9.84,  4) 9.88,  5) 9.91.
Homework 5, due Mon. Feb. 16.
Topic: Dynamics of particles: 2D, 3D
Reading guide: Chapter 10.1-2
Problems: 1) 10.2, 2)10.6  3) 10.15 a)-c), d) part (1); parts (2),(3) are optional extra-credit,  4)10.21   5)10.26   6) 10.29  7)10.33 (assume that the x-y plane is vertical)  8) 10.34  9)10.30, optional extra-credit.
Homework 6, Tues., Mar. 3.
Topic: 1D Constrained motion.
Reading guide: Chapter 12.1
Problems: 1) 12.1  2) 12.6   3) 12.8   4) 12.19  5) 12.28   6) 12.29
Homework 7, Due Mon.., March 23.
Topic: 1D motion with 2D and 3D forces.
Reading guide: Ch 12.2
Problems: 1) 12.30  2) 12.34   3) 12.48   4) 12.54  5) 12.58 a.), c.)   6) 12.65   7) 12.65  8) 12.78.  

Homework 8, due Mon., April 06.
Topic: Circular Motion
Reading guide: Chapter 13
Problems: 1) 13.1  2) 13.3   3) 13.6   4) 13.19  5) 13.33   6) 13.36 a-c (Also, find T_max, the maximum tension in the string, given that the pendulum is released from rest at theta = pi/2 radians; use LMB to find T as function of theta first.) (d-h optional extra credit),   7) 13.45.
Homework 9, due Tues., Apr. 14.;
Topic: Circular motion (cont.), rigid bodies.
Reading guide: 13.3-13.6
Problems: 1) 13.103,  2) 13.105,   3)13.106,  4) 13.112,   5)13.117,   6)13.119,  7)13.132,  8)13.146.
Homework 10, due Wed., Apr. 22.
Topic: General planar motion of a single rigid body.
Reading guide: 14.1-4 .
Problems: 1) 14.18,  2) 14.21. Also, add part (d.): Repeat part (a.) with the springs replaced by ideal (massless, inextensible) strings.  3) 14.39, Also, add part (c.): Find the acceleration of the point on the spool directly above point C.   4) 14.52,   5) Extra Credit: 14.31, 14.42, 14.56.
Homework 11 due Wed., Apr. 30.
Topic: Working Model 2D
Reading guide: Working Model 2D Tutorials. Download here
Problems: 1) Do the tutorials in the downloadable document above in groups of two (randomly assigned) Download here. (All of the tutorial workshops are also available in the WM help facility.) Save the files created for each tutorial in a folder; you will then be able to submit the folder electronically to me once I arrange that.    2) After you are done with the tutorials, re-do Problem 13.146 using WM with your own choices for K, M, m, l, and R . Plot the angle theta vs. time for small oscillations for each case a.) and b.) and estimate the frequencies of oscillations from the plots. Compare them to the frequencies that you found in the problem in terms of K, M, m, l, and R (formulas for the frequencies for both cases are in the back of the book.).
email to Mike Coleman <mcoleman@cems.uvm.edu>