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

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

a) Homeworkswill 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 cornerneatly print the following, making appropriate substitutions as appropriate:

Sally Rogers

TAM 2030HW 1, Due January 22, 2009

c)On the top left cornerof 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.

d)STAPLEyour homework at the top left corner.

e)At the top of all work clearlyacknowledge all helpyou 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 correctfree body diagram.Your

g)vector notationmust be clear and correct.Every line of every calculation should be

h)dimensionally correct(carry your units, see text Appendix A).Your work should be

i)laid out neatlyenough to read by someone who does not know how to do the problem. Part of your job as an engineer will be toconvincinglyget the right answers. That is your job on the homework as well.

j)Some problems may seem likemake-workbecause 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.

**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.

**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 **

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.

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**

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**

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**

1) 12.40 Simple constrained-object problem

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**

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 **

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

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