Policy, assignments, and reading guide
TAM 203, Spring 2009

Homework policy: To get credit, please do the things listed below on every homework.

a) Homeworks will be collected soon after class starts. Homework handed in later will be marked "late." For example, you should have the first homework assignment in hand at your seat at the start of lecture on Thursday Jan 22.

b) On the top right corner neatly print the following, making appropriate substitutions as appropriate:
        Sally Rogers
        TAM 2030
HW 1, Due January 22, 2009

c) On the top left corner of your homework please put your section information, e.g.:

         1:25 PM Section 207,   TA: Ricky Chachra

Keep your name etc on the top right. This makes sorting of the homework easier for the graders.

STAPLE your homework at the top left corner.

e) At the top of all work clearly acknowledge all help you got from TAs, faculty, students, or ANY other source (but for lecture, text and section). 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 the solution of Jane Lewenstein " etc. If your TA thinks you are taking too much from other sources he/she will tell you. In the mean time don't violate academic integrity rules: be clear about which parts of your presentation you did not do on your own. Violations of this policy are violations of the Cornell Code of Academic Integrity.

f) Every use of force, moment, momentum, or angular momentum balance must be associated with a clear correct free body diagram.

Your vector notation must be clear and correct.

Every line of every calculation should be dimensionally correct (carry your units, see text Appendix A).

Your work should be laid out neatly enough to read by someone who does not know how to do the problem. Part of your job as an engineer will be to convincingly get the right answers. That is your job on the homework as well.

j) Some problems may seem like make-work because you already know how to do them. If so, you can get full credit by writing in full "I can do this problem but don't feel I will gain from writing out the solution". You can keep doing this unless/untill your grader/TA challenges your self-assessment.

k) Computer work should be well commented (sample). At the top the computer text file should include your name which you later highlight or circle with colored pen. At least some part of any computer output should also include your name, printed by the computer. Also highlight this or circle it with colored pen.

l) At least one problem in each week should be "solutions quality". This should start on a fresh page, use single sides, and not have a new problem start on the same page. It should be self-contained, including, for example, enough of a problem restatment so that a reader need not see the original problem statement. It should be clear and convincing enough so that another TAM 203 student who has not done the problem and does not know how to do it, can read your solution, understand it, and judge that it is correct. The first word of this solution should be "SOLUTION".

m) We have a reasonable homework grading and re-grading policy.

Reading suggestion: Before lecture do a quick read of the sections associated with the problems listed for that lecture. This is the material associated with the homework due the next week.

Study advice: Try to do assigned homework problems from beginning to end with no help from book, notes, solutions, people, etc., yourself without looking up even one small thing. Explain, at least outloud to yourself, every step. If you did need help, then afterwards start the problem over by yourself without looking up even one small thing. Then similarly do other problems that are like the assigned problems. Then do old prelims and exams. Finally, for A+ style studying, invent and solve your own problems.

Homework grading and re-grading policy

Homework assignment below subject to change until 3 AM of the morning after the lecture before the due date
(e.g., January 22 assignment (due January 22) is not set in stone until January 21 at 3 AM).

Problems are from RP (Ruina and Pratap) unless otherwise specified or written out.

Homework solutions are posted on Thursday or Friday.

HW due dates:

Jan 20 Tu: First lecture. No HW due.

Jan 22 Th HW 1 Section 9.1: Force and motion in 1D
1) Read the Policies above and on the linked pages above. Write "I have read and understood the HW and academic integrity policies for this course. The questions I have about them are: ____." Sign your name.
2) Look over text Table of Contents and the front and back tables.
    Read Preface and Chapter 1 (pages 10 - 34) and Section 9.1 (396-417).
    Write: "I have done _____% of the assigned reading."
3) Write "I can do all the preparatory problems for 9.1 except for ________."
4) 9.15 Very simple integration, based on a simple graph.
5) 9.16 Slightly harder integration, based on a graph.
6) 9.22 Grain falling though honey. Write an ODE and solve it. Easy.

Jan 27 Tu
HW 2 Section 9.1 cont'd: Numerical Solution of ODEs
0) Write "I have registered for this course on blackboard." (Search for ENGRD2030.)
1) 9.26 Quadratic drag on a bullet. Gross. (numerical solution, analytical solution is optional extra)
Note: only one problem per week needs to be "solutions quality". So you could use this one, or not.

Jan 29 Th HW 3 9.2, Energy methods in 1D
0) Don't hand in: Redo 9.26 without looking up anything.
1) 9.30 This is easy, just vocabulary practice.
2) 9.37 The fall distance is the wall height + the leg bending. A simple problem.
3) 9.38 A simple energy problem using some wierd archery words (remember to turn page).
4) 9.43 This is a bit subtle and takes a bit of thought.

Feb 3 Tu
HW 4 9.3 & 9.6: Vibrations: mass, spring and dashpot; Forcing and resonance
0) On this and all future homeworks please put your section number (202 - 207) on the top left of the first page of your homework. Keep your name etc on the top right. This is a special request from the graders who want to simplify sorting.
1) 9.49 A basic very simple spring-mass problem.

Feb 5 Th HW 5 9.4: Coupled motions in 1D
1) 9.53, because of gravity the concept of "rest position" for a hanging mass has two possible meanings. This problem takes you slowly through the issues associated with defining displacement various ways. The last part takes some thought (of course you should give a justified answer, not a guess).
2) 9.55 Part c requires careful thought because the period of time of contact with the trampoline is not half the period of the associated harmonic oscillator (because of gravity, the feet don't leave the trampoline at the mid-point of the oscillations).
3) 9.109 This practical engineering problem rests on the concept of "frequency response" which you can read about in the text and samples. A somewhat long calculation (see formulas in text).
4) 9.73 This is a very simple conceptual question, basically asking the definition of normal mode.
5) 9.76 A slight extension of the lecture example (with a dashpot and forcing)
6) 9.82 A simple problem intended to make you think about motions of multi-DOF systems.

Feb 10 Tu
HW 6 9.5: Collisions in 1D
1) 9.84 A simple problem taking you through the concepts and vocabulary of 1D collisions
This problem will make more intuitive sense if you change the problem statement from
                                  vA+ = 8 m/s to vA+ = 6 m/s.
(As printed, masses pass through each other in collision and the coeff of restitution is negative.)

Feb 12 Th HW 7 10.1-3: A particle in space, momentum & energy, celestial mechanics
1) 9.92 Tests if you can keep your hat on while calculating a sequence of collisions. And the answer is interesting.
2) 10.22 In spirit this is extremely close to a 3D particle statics problem.
3) 10.26 This problem is genuinely interesting. It has all the look of an intractable non-linear problem but turns out to be a simple linear problem.
4) 10.30 This problem should expand your understanding of parabolic-flight ballistics to the more realistic ballistics of things where air drag is important.

Feb 17 Tu
HW 8 11.1-2: Coupled particle motion, particle collisions
1) 10.55, a very simple problem to show if you know what the words mean.

Feb 19 Th HW 9 12.1: 1D constrained motion & pulleys
1) 10.61 A computer simulation of a missile trajectory
2) 11.10 A cute simulation of 3 balls in space.
3) 11.20 Very much like lecture example
4) 11.17 Note that 11.17 is not of the standard form, so you can use your program to check your answer, not to generate it
5) 12.6 Just like lecture, easy
6) 12.14b Slightly more involved pulley problem
7) 12.26 Pulley with spring, a bit more involved

Feb 24 Tu
HW 10 12.2: 1D motion with 2D & 3D forces
1) 12.40 Simple constrained-object problem
Prelim 1, (Covers through HW handed in on Feb 19.)
Seating Arrangement: UPS B17 - Section 202, 203, 204, 205 (207 seats)
                                    UPS109 - Section 206 (42 seats)
                                    UPS111 - Section 207 (40 seats)

Feb 26 Th HW 11 12.2 cont'd
1) 12.43 Il-posed constrained-object problem, why?
2) 12.54 Car braking. Long statement, but basically just a sequene of hints for a problem that could be stated briefly.
Worth doing carefully and well.
3) 12.72 3D supported plate, good place to practice 3D vectors. Not hard once you know how.
4) 12.76 3D braked car. You have to know your 3D vectors for such problems.

Mar 03 Tu HW 12 13.1: Circular motion kinematics
0) Either a) print out this pdf file and fill it out by hand, or b) fill out this word file and then print it out.
These will be collected in class, but anoymously (not in the homework pile).
1) Write, "I have completed the mid-course survey and it is being handed in on the same day as the HW."
2) 13.1 Basically a vocabulary lesson/test

Mar 05 Th HW 13 13.2: Dynamics of a particle in circular motion
1) 13.15 A simple test of whether you can work with the ideas
2) 13.36 Everything (or most things) you should know about a simple pendulum
    Typo: change 'alpha' to 'omega" also delete extraneous 'e'.
3) 13.45 another circular motion problem, bead on a hoop with friction
4) 13.49 a classic energy/circular motion problem,

Mar 10 Tu
HW 14 13.3: 2D rigid-object rotation
1) Write (again) "I have read item (e) in the homework directions."
No kidding! These academic integrity hearings are NOT FUN!
2) Please re-register your i-clicker at http://atcsupport.cit.cornell.edu/pollsrvc/
Write "I have re-registerred my i-clicker at CIT".
3) 13.58 computer graphics, using rotations to draw a rotated drawing.

Mar 12 Th HW 15 13.4: 2D rigid-object angular velocity
1) 13.73 a simple problem. But you have to think to turn the words into sensible equations
2) 13.81 very simple gear problem
3) 13.83 a more challenging problem, with a math and computer flavor, about angular velocity. Could take an hour or so.
13.5: Polar moment of inertia. Read, but no assigned problems
13.6: Dynamics of rigid-object planar circular motion.
4) 13.112 quick easy mechanics problem
5) 13.122 easy mechanics problem (almost just kinematics)
6) 13.136 multipart pendulum problem. For parts (a,b) answer in terms of sensible variables. A computer will help with some of the plots. This problem will take at least a good hour to do well.

**** Spring Break *****

Mar 24 Tu HW 16 14.1: Rigid-object kinematics
1) 14.1 Simple kinematics problem. Nothing hard.
Prelim 2, (covers through HW handed in on March 12)
Seating Arrangement: UPS B17 - Section 202, 203, 204, 205 (207 seats)
                                    UPS109 - Section 206 (42 seats)
                                    UPS111 - Section 207 (40 seats)

Mar 26 Th HW 17 14.1 cont'd
1) 14.12 Javelin. Somewhat involved kinematics.
14.2 Dynamics of a rigid object
2) 14.19 Block in space with a force. Computer code and solution. Real work, but not hard.
3) 14.21 Suspended mass with cut springs. Simple instantaneous dynamics problem.
14.3 Kinematics of rolling and sliding
4) 14.31 Plotting things about the motion of a point on a rolling tire. Probably needs a nice computer plot.

Mar 31 Tu
HW 18 14.4: Dynamics of rolling and sliding
1) 14.39 Spool is pulled by a rope. A real problem, but not super hard.

Apr 02 Th HW 19 14.4 cont'd
2) 14.42 Napkin ring. This problem requires careful setup and real thought.
3) 14.56 Disk in cylinder. A real problem. Takes time and care.
     Note typo in 3rd line: Change    "... s back and forth"    to    "... rocks back and forth".
14.5: Collisions.
4) 14.65 Acrobat. Nothing too hard. But you have to keep your hat on through the various steps.

Apr 07 Tu
HW 20 15.1: Polar coordinates & path coordinates
1) 15.5 Simple problem on polar coordinates once you understand polar coordinates.

Apr 09 Th HW 21 15.1 cont'd
1) 15.6 Like 15.5, but concerning acceleration. May take some thought. But not hard once you get it.
2) 15.10 Very simple vocabulary test, but with a neat drawing.
15.2 Rotating reference frames
3) 15.15 Very simple problem once you understand rotating coordinates.
15.3 General expressions for velocity and acceleration
4) 15.18 But walks on line on rotating turntable. Involved serious problem.

Apr 14 Tu
HW 22 15.4: Kinematics of 2D mechanisms
1) 15.29 Slider crank mechanism (like lab 3). Not too hard.
Prelim 3, (Covers through solutions that are posted Sat before the prelim.)
Seating Arrangement: UPS B17 - Section 202, 203, 204, 205 (207 seats)
                                    UPS109 - Section 206 (42 seats)
                                    UPS111 - Section 207 (40 seats)

Apr 16 Th HW 23 15.4 cont'd
1) 15.27 Involved kinematics problem. Have to keep your hat on.
2) 15.32 Interacting rods. Hint: vel of C = vel of C.
3) 15.38 Interacting rods, considering acceleration. Not easy, not hard.
16.1 Mechanics of a constrained particle
4) 16.1(a-h): You should neglect gravity. Trivial. A pendulum in diguise until part.
5) 16.12 Bead on rotating stick. Not easy, not too hard.
6) 16.21 Bead in curved slot. Straightforward, some calculations.

Apr 21 Tu
HW 24 16.2: 1 DOF mechanisms.
1) 16.39 Which way does a bike accelerate? Needs very careful thought and set up.

Apr 23 Th HW 25 16.3: 2 DOF mechanisms  (Note: this was updated on 4/16/09)
1) 16.40 Particle on a springy leash.  Test of concepts. Not hard.
2) 16.42 The same problem as above, in disguise.
3) 16.47 Yo yo.  Pretty easy too.
4) 16.49 Mass in slot. 2 DOF. Part f is a challenge.

Apr 28 Tu HW 26 16.3 cont'd
1) 16.55 Pendulum on a cart. Easy problem.

Apr 30 Th HW 27 16.3 cont'd
1) 16.67 Double pendulum. A special relatively easy case of a hard problem.
2) 16.69 Rimless wheel. Long involved problem.

May 1:     Extra credit problem due.

May 2 Sat: Makeup prelim
(9 AM - 11:30+) and Homework exam (1 - 5 PM)

May 8 Fri: Final Exam (2-4:30 PM)