Chapter 3 Problem 101 of Engineering Dynamics 9th Edition

Course Syllabus:

Professor: Simin Nasseri

Office: Q231

Phone: 678-915-7420

Email: snasseri@spsu.edu

Web Page: http://met.spsu.edu/snasseri/

If you wish to see me at times outside my office hours, you can send me an e-mail to arrange an appointment.

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Course Introduction
Course Text
Course Grade Determination
Course Content- Topic coverage
Course Outcomes
Course Materials
Take Home Tests
Homework Assignments
Mini-tests, Mid-term, and Final Exam
Useful Links

Course introduction :

This is a study of the mechanics of particles and rigid bodies. Topics covered include: kinematics and kinetics of particles; work and kinetic energy; impulse and momentum; rigid body motions; relative motion; and moving coordinate systems.

For the student who wishes an overview of the subject, the topic coverage is broad enough to provide a comprehensive introduction.

Course text :

The text for the course is

Engineering Mechanics: Dynamics , Latest edition or earlier, Hibbeler, Prentice Hall, or Statics & Dynamics package.

If you have the older versions, you can still use them, but remember to check the problems at the end of each chapter, for doing your homework assignments, as these are changed in the new edition.

The text is meant as a reference and for supplemental assigned reading, lecture notes will deviate in both content and approach.

Other suggested textbooks are:

Engineering Mechanics: Dynamics, by W.F. Riley and L.D. Sturges. Published by John Wiley and Sons, Inc., New York.
Engineering Mechanics: Dynamics & Dynamics Study Pack, by A. M. Bedford and W. Fowler.
Engineering Mechanics: Dynamics (Engineering Mechanics) by J. L. Meriam and L. G. Kraige.
Vector Mechanics for Engineers: Dynamics by F. P. Beer, Jr., E. R. Johnston, W. E. Clausen, and P. J. Cornwell.

Course grade determination :

Your grade in this course will be determined from your performance on homework assignments, quizzes, mid-term and final examinations.

Homework 10%
Mini-tests 40%
Midterm Exam 25%
Final Exam 25%

[90 - 100% = A, 80 - 89% = B 70 - 79% = C 60 - 69% = D Below 60% = F]

Homework assignments will be assigned after certain modules have been completed. The format for the tests and final examination will be proctored and will be announced well before each test.

ADA/504 Compliance

Students with disabilities who believe that they may need accommodations in this class are encouraged to contact the ATTIC counselor working with disabilities at (678) 915-7361 as soon as possible to better ensure that such accommodations are implemented in a timely fashion.

Student Conduct

Academic dishonesty and non-academic misconduct, in any form, is not tolerated in the classroom. This includes, but is not limited to, cheating, plagiarism, and disorderly conduct. Please refer to sections in the Undergraduate Catalog on: A Disruptive Behavior and Academic Dishonesty. Also read this page carefully.

Course content- Topic coverage :

- Kinematics of a Particle

To introduce the concepts of position, displacement, velocity, and acceleration.
To study particle motion along a straight line and represent this motion graphically.
To investigate particle motion along a curved path using different coordinate systems.
To present an analysis of dependent motion of two particles.
To examine the principles of relative motion of two particles using translating axes.

- Kinetics of a Particle: Force and Acceleration

To state Newton's Laws of Motion and Gravitational Attraction and to define mass and weight.
To analyze the accelerated motion of a particle using the equation of motion with different coordinate systems.
To investigate central-force motion and apply it to problems in space mechanics.

- Kinetics of a Particle: Work and Energy

To develop the principle of work and energy and apply it to solve problems that involve force, velocity, and displacement.
To study problems that involve power and efficiency.
To introduce the concept of a conservative force and apply the theorem of conservation of energy to solve kinetic problems.

- Kinetics of a Particle: Impulse and Momentum

To develop the principle of linear impulse and momentum for a particle.
To study the conservation of linear momentum for particles.
To analyze the mechanics of impact.
To introduce the concept of angular impulse and momentum.
To solve problems involving steady fluid streams and propulsion with variable mass.

- Planar Kinematics of a Rigid Body

To classify the various types of rigid-body planar motion.
To investigate rigid-body translation and show how to analyze motion about a fixed axis.
To study planar motion using an absolute motion analysis.
To provide a relative motion analysis of velocity and acceleration using a translating frame of reference.

- Planar Kinetics of a Rigid Body: Force and Acceleration

- Planar Kinetics of a Rigid Body: Work and Energy

- Planar Kinetics of a Rigid Body: Impulse and Momentum

Course Outcomes :

By the end of this course you will be able to:

Work particle kinematics and kinetics problems in Cartesian, normal-tangential, and cylindrical coordinates, applying calculus,
Analyze dependent motion of particles,
Apply the principal of work and energy to particles and rigid bodies in planar motion,
Apply the principals of conservation of momentum and of impulse and momentum to particles and rigid bodies in planar motion,
Find and use instantaneous centers of zero velocity to solve velocity problems,
Solve problems involving direct and eccentric impact, and
Find centroids and mass moments of inertia of rigid bodies using calculus.

All the materials for this course: Materials are copyright of Hibbeler

Ch 12- Kinematics of a Particle Practice: Chapter 12 Practice Problems

EngiBook Software on Kinematics of a Particle Flowcharts

Sections 1 and 2
Section 3 Problem 12-47
Sections 4 and 5
Section 6 Summary of Equations (Typo: no V₀ in Eq 15)
- Projectile motion clip
- Projectile motion demo clip (Same speed, different angles)
Section 7
Section 8
Section 9 Check this out!
Section 10
- Relative motion clip 1

Ch 13- Kinetics of a Particle: Force and Acceleration Practice: Chapter 13 Practice Problems

Sections 1 to 3
Section 4
Section 5
Section 6 Practice: Work on Examples 13.10 and 13.11 of Hibbeler's book
- Chapter 13- Section 6 in-class problem

Ch 14- Kinetics of a Particle: Work and Energy Practice: Chapter 14 Practice Problems

Sections 1 to 3
Section 4 (not included)
Sections 5 and 6

______________________________________________________________________________

Ch 16- Planar Kinematics of a Rigid Body Practice: Chapter 16 Practice Problems

Section 1 to 3
- Planetary gear mechanism
Section 4

Crank and Slider Video Clips:

- Animated figure
- Video 1
- Limiting Position
- Scotch Yoke (Similar to problem 16-35)
- A cool engine crankshaft
Section 5
Section 7
Section 6 Review these problems

Ch 15- Kinetics of a Particle: Impulse and Momentum Practice: Chapter 15 Practice Problems

Section 1
Sections 2 and 3 Review these tutorial session 3 problems
Section 4
- Video clip about elastic and inelastic collisions (Watch till the end-----It's Cool!)
- Newton's Cradle
Section 5 to 7 (Vector analysis for 15-101)

Video clips prepared by my former student Mark Heeren(find the problems here):

15-1, 15-7, 15-18

Ch 17- Planar Kinetics of a Rigid Body:

Force and Acceleration Practice: Chapter 17 Practice Problems

Section 1 (Just this section is in the final exam, except the integration method)

For your information:

Sections 2 and 3
Section 4
Section 5

Take Home Tests /Practice problems:

Practice problems:

Chapter 12- Rectilinear motion: 1, 2 , 3 , 4, 5

Take-home Tests:

Solve the following problems (but do not hand them to me!). These take home tests have no due dates, they are prepared for you to make you ready for the tests.

First try not to look at the solutions. Time yourself and then check if you have answered the problems correctly.

Take home tests problems	Solutions
Solve problems 9, 18, 28, 59, 61, 70 and 75 from chapter 12.	Solutions
Solve problems 90, 94, 112, 114 from chapter 12.	Solutions
Solve problems 32, 35, 43, 46, 70, 77, 91, 96, 102, 110 from Ch13. (these are for those of you who want to learn more)	Solutions
Solve problems 4, 14, 23, 31, 32, 61, and 91 from Ch14.	Solutions
Solve problems 48, 49, 57, 58, 101, 102, 114 from Ch 16. The first two are just for your information and similar problems will not be chosen for your tests.	Solutions
Solve problems 41, 64, 67 from Ch15.	Solutions

Review these Elementary Indefinite Integrals

Review of Calculus

Homework :

Problems are due the week after they are assigned.
Problems will be graded only if they are written neatly.
Cooperation on understanding and doing the homework is allowed, but the final presentation must be your own (no copying of homework).
No late homework! There will be no extension for the due date.
For group homework, each group brings just one homework, but all group members should learn how to solve the problems, because you are asked to come and solve it in the class. If you fail to explain the problem well, the whole group members lose few marks, and you will lose the whole mark.
Follow the rules for presenting problem solutions written in the following section (Tests, Final Exam).

Homework	Problems	Solutions
Group Homework 1^*	Ch12: 4, 5, 10, 14, 22, 54, 66, 71	Solutions Problem 14: V(av)=0, V(av)=3 and V(ins)=6 m/s as we found in class. Review the graphs.
Group HW 2 **	Ch12: 77, 79, 99, 102, 104, 116,138, 150, 174, 186, 198
Group HW 3	Ch13: 3, 9, 25, 53, 67, 83
Group HW 3a	Solve these 3 problems
	You can review these problems for your midterm exam
Group HW 4	Ch16: 1, 15, 32, 35, 44, 51, 67, 69, 59, 95, 107, 108, 118, 127.
Group HW 5	Ch15: 1, 7, 9, 18, 35, 43, 55, 81, 90, 100, 102, 108
Group HW 6	Ch 17: Just 23 Check the problems 11, 15 and 23 (2 of them were handed out)

(*) Choose a partner for yourself and solve the problems together. Submit one assignment per group. Allocate the time that each of you two spend on the assignments and sign it. If you spend the same amount of time, you can mention it as well (I need to see your names and signatures on the first page when you submit your assignments). You can work alone, if you wish, but remember that working in a group has a higher efficiency.

(**) Each problem should not take more than 15 minutes. Train yourself to think and write faster!

(***) Try to work on yourself and be stress-free during your test. Review the lecture notes online and solve the study pack problems.

Tests- Final Exam:

RULES FOR PRESENTING PROBLEM SOLUTIONS.

Neat and appropriate diagrams are required (eg a "Free Body Diagram," or sketches showing the forces, dimensions, angles, etc).
First write equation in general form (such as ΣF = ma) and then substitute the forces. If a variable represents a vector, the arrow must be included.
When numbers are substituted into equations, include basic units and powers of ten. Correct units should accompany all numbers.
Never calculate a value and then enter it into an equation that is higher up on the page. The person who is checking your work needs to see the sequence of the calculations.
Initial or intermediate calculations must be done more precisely (usually 4 or 5 significant digits) than the answer will show.
Express answers in Engineering Notation, to 3 significant figures (usually), with correct, convenient units.
Either show the angles or calculate the appropriate ones, considering the positive x axis as the starting point and rotating CCW.

Check the following table and find the information on each mini-test or test and the corresponding date:

Mini-test or test	Chapter and sections included	Date	More info
Mini-test 1	Ch12: Sections 1, 2, 3, 4, 5 Excluding: v-s and a-s graphs (page 23 and 24)		2 problems, 25 min.
Test 2	Ch12: All sections: 1:10		4 problems, 50 min.
Test 3	Ch13: All sections		2 problems, 25 min.
Midterm exam	Chapters 12, 13 and 14		4 problems, 50 min
Test 4	Chapter 16: all sections		3 problems 1 hour
Test 5	Chapters 15 and 17 (only the sections taught)		3 problems 1 hour
Final Exam	Chapters 15, 16 and 17		5 problems 2 hours

Useful Links:

Mathematics for Engineering Mechanics

Review of Statics:

ENG 2214
SOL

MIT Open Course- Dynamics
Dynamics- Dr Negahban Lecture Notes

Chapter 3 Problem 101 of Engineering Dynamics 9th Edition

Source: https://facultyweb.kennesaw.edu/snasser1/dynamics.php

Martens Syle1949

Chapter 3 Problem 101 of Engineering Dynamics 9th Edition

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