**Policy, assignments, and
reading guide
TAM 2030, Spring 2011**

**Homework policy: **To get credit, please do these
things on each homework.

a)Hand into a TA mailbox in Thurston 102 by 10 PM on Tuesdays (you need toknow your TAs name). Unless stated otherwise, homework from lectures in one week (Thurs and Tues) are due the following week on Tuesday. That is,lecture material on a given Thursday is associated with homework due 12 days later and lecture material from Tuesday is due 7 days later. A grader may or may not accept a late homework for reduced credit, contact your grader (see course staff page).

b)On thefirst pageof your homework, please put the following to ease sorting:

On the top left corner

please put your section information, e.g.:

On the top right corner

neatly print your name, course, date, e.g.:1:25 PM Section 207

TA: Rafael WongSally Golnaraghi

TAM 2030HW 1, Due Feb 1, 2011

c)At home, please put aStapleat the top left corner. Folded interlocked corners fall apart. Paperclips fall off.

d)Cite your help.At the top of each problem clearly acknowledge all help you got from TAs, faculty, students, oranyother source (with exceptions for lecture, text and section, which need not be cited). You could write, for example: "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 copied this solution word for word from Jane Lewenstein " or "I found a problem just like this one, number 386.5.6, at cheatonyourhomework.com, and copied it." etc. You will not lose credit for getting and citing such help. 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.

e)Every use of linear or angular momentum balance must be associated with a clear correctfree body diagram.Your

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

g)dimensionally correct(carry your units, read Appendix A of online book).Your work should be

h)laid out neatlyenough to be 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. Your job on the homework is to practice this. Box in your answers.

i)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" or, in short, "Can do, don't want to." You can keep doing this unless/untill your grader/TA challenges your self-assessment.

j)Computer work should be well commented(sample). Your name should be near the top of the computer text file. Before handing in, you should highlight (or circle with a colored pen) your name on the computer printout. At least some part of any other computer output should also include your name, printed by the computer. Highlight (or circle) your name on each page.

k)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 2020 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". Your solution may be selected for posting (without your name). If you do not want your solution posted, please say so on the top of each homework.

l)Grading and regrading.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 assignments below ** subject
to change until

3 AM of the morning after the lecture associated with
the HW

(e.g., Jan 25 assignment is not set in stone until Jan 26 at 3 AM).

Problems are from RP (Ruina and Pratap) unless otherwise specified or written out. Page numbers are as written at the top of the page. Add 4 for the pdf page number.

**Jan 25 Tu: HW 0** due Feb 1. First lecture.
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: ____." Fill in the blank. Print and sign
your name. Note! Academic integrity hearings are NOT FUN!

2) Write "I have registered for this course on blackboard." (Search
for ENGRD2030.)

3) Write "I have registered my i-clicker."

4) Look over text Table of Contents
and the front and back tables.

Read Preface, Chapter 1 and Section
9.1 (412 - 433).

Write: "I have done _____% of the preface, Chapter
1 and Section 9.1."

5) Write "I can do all the preparatory problems for 9.1 except for ________."

6)
9.1.15 Very simple integration, based on a simple graph.

7) 9.1.16 Slightly harder integration, based on a graph.

8) 9.1.22 Grain falling though honey. Write an ODE and solve it. Easy.

** Jan 27 Th** **HW 1** due Feb 8

1) 9.1.26 Quadratic drag on a bullet. Gross (numerical solution, analytical
solution is optional extra).

Feb 1 Tu**HW 2 **due Feb 8, Section 9.1 cont'd: Numerical
Solution of ODEs

1) 9.2.3 This is easy, just vocabulary practice.

2) 9.2.10 The fall distance is the
wall height + the leg bending. A simple problem.

3) 9.2.11 A simple energy problem using some wierd archery words.

4) 9.2.16 Constant power acceleration. This is a bit subtle and takes a bit
of thought.

**Feb 3 Th** **HW 3 **due Feb 15, 9.2, Energy methods in 1D

0) Don't hand in: Redo 9.1.26 without looking up anything.

1) 9.3.6 A basic very simple spring-mass problem.

Feb 8 Tu **HW 4 **due Feb 15, 9.3 & 9.6: Vibrations: mass, spring
and dashpot; Forcing and resonance

Matlab from lecture is posted.

1) 9.3.10, 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) 9.3.12 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).

**Feb 10 Th** **HW 5 **due Feb 22, 9.4: Coupled motions in 1D

1) 9.4.14 This is a very simple conceptual question, basically asking the definition
of normal mode.

2) 9.4.17 A slight extension of the lecture example (with a dashpot and forcing)

3) 9.4.23 A simple problem intended to make you think about motions of multi-DOF
systems.

**
Feb 15 Tu**

1) 9.5.6 A simple problem taking you through the concepts and vocabulary of 1D collisions.

2) 9.5.10 Tests if you can keep your hat on while calculating a sequence of collisions. And the answer is interesting.

3) 9.5.12 A bit of collision theory (the relation between

**Feb 17 Th** **HW 7 **due Mar 3, 10.1-3: A
particle in space, momentum & energy, celestial mechanic. Lecture Matlab
is posted.

1) 10.1.22 In spirit this is extremely close to a 3D particle statics problem.

2) 10.1.26 Add part d) What is the general motion (what is the full set of
trajectory shapes that is possible)? 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.

3) 10.1.31 This problem should expand your understanding of parabolic-flight
ballistics to the more realistic ballistics of things where air drag is important.

**
Feb 22 Tu**

1) 10.2.22, a very simple problem to show if you know what the words mean.

2) 10.3.5 A computer simulation of a missile trajectory

** Feb 24 Th HW 9 **due Mar 8, 12.1: 1D constrained motion & pulleys (Matlab
example from lecture)

1) 11.1.10 A cute simulation of 3 balls in space.

2) 11.2.7 Very much like lecture example (2 balls colliding in 2D)

3) 11.2.10 Note that 11.2.7 is not of the standard form, so you can use your
program to check your answer, not to generate it

Mar 01Tu**HW 10** due Mar 8, 12.2: 12.1: 1D constrained
motion & pulleys (Matlab example
from lecture)

1) 12.1.6 Easy

2) 12.1.14b Slightly more involved pulley problem

3) 12.1.26 Pulley with spring, a bit more involved

**March 1 Prelim 1, **Covers
through through HW handed in Feb 22, lab 1, lectures and readings (+ prereq
courses).

**Mar 03 Th** **HW 11** due Mar 15, 12.2 ** **1D
motion with 2D & 3D forces

1) 12.2.11 Simple constrained-object
problem

2) 12.2.14 Il-posed constrained-object problem, why?

3) 12.2.25 Car braking. Long statement, but basically just a sequene of hints
for a problem that could be stated briefly.

Worth doing carefully and well.

4) 12.2.43 3D supported plate, good place to practice 3D vectors. Not hard
once you know how.

5) 12.2.47 3D braked car. You have to know your 3D vectors for such problems.

**Mar 08 Tu** **HW 12 **due Mar 15, 13.1: Circular motion kinematics

1) 13.1.1 Basically a vocabulary lesson/test

2) 13.1.15 A simple test of whether you can work with the ideas

3) 13.2.21 Everything (or most things) you should know about a simple pendulum

**Mar 10 Th** **HW 13 **due Mar 31, ** **13.2: Dynamics of a particle
in circular motion (Guest lecture)

1) 13.2.30 another circular motion problem, bead on a hoop with friction

2) 13.2.34 a classic energy/circular motion problem,

**Mar 15 Tu ****HW 14 **due Mar 31, 13.3: 2D rigid-object
rotation. Matlab from lecture.

1) 13.3.8 computer graphics, using rotations to draw a rotated drawing.

2) 13.4.14
a simple problem. But you have to think to turn the words into sensible equations

3) 13.4.22 very simple gear problem

4) 13.4.24 A more challenging problem, with a math and computer flavor, about
angular velocity. Could take an hour or so.

**Mar 17 Th** **HW 15 **due Apr 5, 13.4: 2D
rigid-object angular velocity. Matlab from lecture (animation,
ode23)

13.5: Polar moment of inertia. Read, but no assigned problems

13.6: Dynamics of rigid-object planar circular motion.

1) 13.6.10 quick easy mechanics problem

2) 13.6.20 easy mechanics problem (almost just kinematics)

3) 13.6.34 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 29 Tu** **HW 16 **due Apr 5, 14.1: Rigid-object
kinematics

1) 14.1.1 Simple kinematics problem. Nothing hard.

**
Mar 29
Prelim 2, **Inclusive, covers through HW handed in on March 15.

**Mar 31 Th** **HW 17 **due Apr 12, 14.1 cont'd

1) 14.1.12 Javelin. Somewhat involved kinematics.

14.2 Dynamics of a rigid object

2) 14.2.7 Block in space with a force. Computer code and solution. Real work,
but not hard.

3) 14.2.9 Suspended mass with cut springs. Simple instantaneous dynamics problem.

Apr 05 Tu**HW 18 **due Apr 12, 14.4: Dynamics of rolling and sliding

14.3 Kinematics of rolling and sliding

1) 14.3.3 Plotting things about the motion of a point on a rolling tire. Probably
needs a nice computer plot.

2) 14.4.6 Spool is pulled by a rope. A real problem,
but not super hard.

3) 14.4.9 Napkin ring. This problem requires careful setup and real thought.

4) 14.4.23 Disk in cylinder. A real problem. Takes time and care.

** Apr 07 Th** **HW 19 **due Apr 21,** **14.4 cont'd

14.5: Collisions.

1) 14.5.8 Acrobat. Nothing too hard. But you have to keep your hat on through
the various steps.

**
Apr 12 Tu**

1) 15.1.5 Simple polar coordinates problem, at least once you understand polar coordinates.

2) 15.1.6 Like 15.5, but concerning acceleration. May take some thought. But not hard once you get it.

3) 15.1.10 Very simple vocabulary test, but with a neat drawing.

** Apr 14 Th** **HW 21 **due Apr 26, 15.1 cont'd

15.2 Rotating reference frames

1) 15.2.5 Very simple problem once you understand rotating coordinates.

15.3 General expressions for velocity and acceleration

2) 15.3.2 Bug walks on line on rotating turntable. Involved serious problem.

3) 15.3.11 Slider crank mechanism (like lab 3). Not too hard.

Apr 19 Tu** HW 22 **due Apr 26, 15.4: Kinematics of 2D mechanisms

1) 15.4.1 Involved kinematics problem. Have to keep your hat on.

2) 15.4.4 Interacting rods. Hint: vel of C = vel of C.

3) 15.4.10 Interacting rods, considering acceleration. Not easy, not hard.

**April 19 Prelim 3, **Inclusive, covers through HW handed in
April 12.

** Apr 21 Th** **HW 23 **due May 3, 15.4 cont'd

16.1 Mechanics of a constrained particle

1) 16.1.1(a-h): You* should *neglect gravity. Trivial. A pendulum in
diguise, at least to start with.

2) 16.1.12 Bead on rotating stick. Not easy, not too hard.

3) 16.1.21 Bead in curved slot. Straightforward, some calculations.

Apr 26 Tu **HW 24 **due May 3,16.2: 1 DOF mechanisms.

1) 16.2.16 Which way does a bike accelerate? Needs very careful thought and
set up.

** Apr 28 Th** **HW 25 **due May 3, 16.3: 2 DOF mechanisms

1) 16.3.1 Particle on a springy leash. Test of concepts. Not hard.

2) 16.3.3 The same problem as above, in disguise.

3) 16.3.8 Yo yo. Pretty easy too.

4) 16.3.10 Mass in slot. 2 DOF. Part f is a challenge.

**May 3 Tu** **HW 26 **16.3 cont'd

Do the remaining problems, but do not hand them in.

1) 16.3.16 Pendulum on a cart. Easy problem.

**May 5 Th** **HW 27 **16.3 cont'd

1) 16.3.28 Double pendulum. A special relatively easy case of a hard problem.

2) 16.3.30 Rimless wheel. Long involved problem.

**May 7: ** All extra credit projects are due.

May 7 Sat:** Homework exam** (9 AM - 1PM)
and ** Makeup prelim** (2 PM - 3:30+ PM), Thurston 2nd floor

**May 12:** ** Final Exam, **2:00 PM, Uris
G01