**Homework policy, assignments, and
reading guide
TAM 203, Spring 2007 **

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

a) Homeworks are duetwo lectures after the date assigned in lecture. You need not bring your homework to the front of the class, hold on to it. It will be collected from the class at the start of class. Homework handed in after the start of class or later will be marked "late." For example, you should have the first homework assignment (due Jan 30) in hand at your seat, following the policies below, at the start of lecture on Tuesday January 30.

b)On the top right cornerneatly print the following, making appropriate substitutions as appropriate:

Sally Rogers

HW probs 1-5, Due January 30, 2007

TAM 203

Section 1 at 12:20

TA: Mahesh Jones

b)STAPLEyour homework at the top left corner.

c)At the top 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.Every use of force, moment, momentum, or angular momentum balance must be associated with a clear correctViolations of this policy are violations of the Cornell Code of Academic Integrity.

d)free body diagram.Your

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

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

g)laid out neatlyenough to read by someone who does not know how to do the problem. Part of your job as an engineer is not just to get the right answer, but convincingly so. That is your job on the homework as well.

h)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.

i)Computer work should be well commented. 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.

j)At least one problem in each assigment 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".

**BONUS PROBLEMS: **Numbered I, II, etc. Each problem is worth
a full homework assignment, not just one homework problem, if you send a
solution before a solution is posted. This adds to your homework score. Solutions
must be clear, authoritative and complete (e.g., not speculative) in nature.
The document must be self-contained. That is, what you send in needs to be
clear to an intelligent reader who has not read, and is not going to look
at the book or any other sources. For example, the solution needs to include
a coherent description of the question that is being answered. A student
should learn from your solutions as should a professor. The reasoning should
be sufficiently clear that there is no argument about whether or not it is
correct. Please do not put your name on your solution. Send
pdf scan of a clear solution to ruina@cornell.edu and your TA. Send copies
of any correspondence you have about bonus questions to your TA. If your
solution is not good enough you will be given a chance to improve it. You
may discuss the problem, or improvements to your solution, at office hours.

**WRITE-AN-EXAM-QUESTION BONUS: ** Due May 5. Write from
1 to 5 candidate final-exam questions. Write clear complete solutions. Hand
writing and clear hand-drawing are fine. These cannot be taken from any books
or from any old exams. Questions can be of any style that you think is appropriate
(even multiple choice or essay, if gradeable). If appropriate, they may be
the basis for actual final exam problems. Send pdf scan to ruina@cornell.edu
and your TA.

**Problems** subject to change until 3 AM of the morning after
which they are listed below

(e.g., January 23 assignment due January 30 is not set in stone until January
24 at 3 AM)

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

**Jan 23 Tu:** S9.1 1D dynamics

HW due Jan 30 (see directions above):

1) 9.11

2) 9.12

3) 9.13

4) 9.15

5) 9.19

** Jan 25 Th: **S9.2 Energy methods in 1D

HW due Feb 1

1) 9.26

**Jan 30 Tu: **S9.2 cont'd.

HW due tues Feb 6:

1) 9.28

2) 9.29 (use mass = 3 kg, don't worry if you used something else)

3) 9.31

4) 9.32

5) 9.35

6) 9.38

**Feb 1 Th: **S9.3 vibrations

HW due Thurs Feb 8

1) 9.37 (typo: 1 grain is about 64.8 milli grams)

2) 9.43

** Feb 6 Tu: **S9.3 cont'd (Also, read about springs in S6.1
)

HW due tues Feb 13:

1) 9.44

2) 9.48

3) 9.52a,b (c is the same as b)

4) 9.53

5) 9.55

6) Consider a damped spring-mass system. For x_0 = 1, v_0 = 0, m=1, c=5, k=3 plot, using numerical solution of the differential equations, x vst t for 10 s.

** Feb 8 Th: **S9.4: coupled motions in 1D

HW due thurs Feb 15:

1) 9.71

2) 9.73

** Feb 13 Tu:**

HW due tues Feb 20:

1) 9.76

2) 9.70a,c

3) 9.77 (if you have not taken 294, think of "eigenvector" as "initial conditions" for the 3 masses)

4) 9.83 (part a: taken 294? try using matrix methods. Not taken 294? set up numerics and guess at initial conditions)

**Feb 15 Th: **1D Collisions 9.5

HW due Thurs Feb 22: (Note, use the new version of Chapter 9 problems on book web page)

1) 9.85

2) 9.88 (use Matlab, check by hand if you like)

3) 9.90

** Feb 20 Tu: **2D particle motion, S10.1, 10.2

HW due Tues Feb 27

1) 10.17

2) 10.18

NOTE: HOMEWORK LIGHTENNED, moved to Thursday

** Feb 22 Th:**

HW due Thurs March 1

3) 10.56

4) 10.58

5) 10.60

** Feb 27 Tu:** Prelim 1 OH 155, 7:30 PM - 9 PM+ covers through
HW due 2/27

HW due Tues March 6, delayed to Thursday March 8 because of internet problems

1) 10.66

2) 10.67

3) 10.69

4) 10.68

**Mar 1 Th:** Review and intro to multi-particle motion in 2D
& 3D

HW: See above.

** Mar 6 Tu: **2 (and more) particle systems

HW due Tues March 13

1) 11.4

2) 11.6

3) 11.19

** Mar 8 Th:**

HW due Thurs March 15

1) 12.11

** Mar 13 Tu:**

HW due Tues March 27 (not March 20)

Statics review: Make sure you understand Preface, 1.1-3, 2.1-6, 3.1-2, 4.1-5, 6.1-3.

The goal is that you can do the problems in 4.2, 4.3, 4.5 and 6.3.

1) 4.69 (Misprint: should give answers in terms ofM, R,thetaandg.)

2) 4.72 (constant speed, statics)

3) 4.97

4) 12.16

5) 12.28

Soln. As always, credit this source fully at every use if you use it for your hw solution.

** Mar 15 Th: **Rigid bodies in translation

HW due Thursday March 29

1) 12.60 (car braking downhill)

**Mar 20 Tu:** Spring break

**Mar 22 Th:** Spring break

**Mar 27 Tu: **Prelim 2 OH 155, 7:30 PM - 9 PM+

(Includes
HW due March 27. There is a 100% chance of their being a statics problem

or
a pulley problem or both).

HW due Tuesday April 3

1) 12.54

2) 12.52

3) 12.68

4) 12.72

5) 12.79 (optional)

6) 12.78 (optional)

**Mar 29 Th: **Rigid bodies in translation (car braking)

**Apr 3 Tu: **Circular motion Sections 13.1-2

Homework due Thursday April 5 based on lecture (probs). Text to be posted Thursday night late.

1) 13.1

2) 13.2

3) 13.3

** Apr 5 Th: **Circular motion mechanics

Homework due Tuesday April 10

1) 13.29 (warm up with 13.27 if needed)

2) 13.41

3) 13.42

4) 13.43

** Apr 10 Tu:**

Homework due Thursday April 12

1) 13.55

2) 13.60

** Apr 12 Th:**

Homework due Tuesday April 17

1) 13.70

2) 13.74

3) 13.83

4) 13.98

** Apr 17 Tu:** Prelim 3 PH 101, 7:30 PM - 9 PM+

Homework due Thursday April 19

1) 13.118

**Apr 19 Th:**

Homework due Tuesday April 24

(If you were delayed by this being posted late, write that on the top of your homework and hand it in on Thursday.)

1) 13.117

2) 13.129c,f,h

3) 13.149

4) 14.2, also the acceleration vector of the midpoint.

** Apr 24 Tu:**

Homework due Thursday April 26

1) The falling ladder problem (lecture on 4/19 and 4/24). The ladder slides
without slip. Assume all parameters are given (m, I,g, L) and also the dynamical
state (theta, d(theta)/dt). Find d^2 (theta)/dt^2 in terms of the other variables.

** Apr 26 Th:**

Homework due Tuesday May 1

Reading suggestion for sometime in the next couple of weeks: Preface and Chapters 1 and 3.

Also chapter 2 if you need some vector refreshor.

1) 14.36

2) 14.32

3) 14.44

4) 14.38

5) 14.52a-f (its long because its basically a list of hints)

**
May 1 Tu: **Collisions of 2D rigid objects

Homework due Thursday May 4

1) A square uniform box is tipped on one edge so all faces make 45 degree angles with the level.

It then is nudged slightly, hinges on the edge and then has a collision with another edge. It then rocks up onto the new edge. Assuming the collision has no slip and no bounce, how high does the box tip

(angle of bottom face in radians)? That is, do the lecture example from start to finish. (Ans: about 1.4 degrees).

** May 3 Th:**

Due, well, never. But best if you know how to do:

1) 12.79

2) 12.78

3) 14.61

4) Every other problem vaguely like that which was assigned this semester!! :-)

**May 7 Mon:** Makeup Prelim. 2-3:30+, Comprehensive, Thurston
204 (for those who missed prelims 1,2 or 3)

**May 8 Tues:** 12-4. Optional homework exam. Thurston 204.

**May 14 Mon:** Final Exam, 9:00 - 11:30 AM, Bradfield
101.