Register now to access 7 million high quality study materials (What's Course Hero?) Course Hero is the premier provider of high quality online educational resources. With millions of study documents, online tutors, digital flashcards and free courseware, Course Hero is helping students learn more efficiently and effectively. Whether you're interested in exploring new subjects or mastering key topics for your next exam, Course Hero has the tools you need to achieve your goals.

5 Pages

hwsol04

Course: ME 358, Spring 2008
School: Stevens
Rating:

Word Count: 549

Document Preview

358 ME Homework Solution 4 Problem 1 A 2.5-diametral pitch, 17-tooth pinion is to drive a 50-tooth gear. The spur gears are cut on the 20o-full-depth-involute system. a) Calculate the following quantities: velocity ratio 2/3, addendum a, dedendum b, clearance c, hole depth ht, working depth hk, pitch diameters d2 and d3, center distance C, circular pitch p, arc tooth thickness at the pitch circle tp (assuming zero...

Register Now

Unformatted Document Excerpt

Coursehero >> New Jersey >> Stevens >> ME 358

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
358 ME Homework Solution 4 Problem 1 A 2.5-diametral pitch, 17-tooth pinion is to drive a 50-tooth gear. The spur gears are cut on the 20o-full-depth-involute system. a) Calculate the following quantities: velocity ratio 2/3, addendum a, dedendum b, clearance c, hole depth ht, working depth hk, pitch diameters d2 and d3, center distance C, circular pitch p, arc tooth thickness at the pitch circle tp (assuming zero backlash), base circle radii rb2 and rb3, base pitch pb, length of path of approach ua, length of path of recess ur, length of path of contact u, and contact ratio mc. b) Check for undercutting. c) Using MATLAB, calculate and plot the backlash that is introduced by increasing the center distance C by an amount 0 C 0.05C . Solution a) 2 N 3 50 = = = 2.9412 3 N 2 17 a= b= 1.000 1.000 = = 0.4in P 2.5 1 in 1.250 1.250 = = 0.5in P 2.5 1 in c = b a = 0.5in 0.4in = 0.1in h t = a + b = 0.4in + 0.5in = 0.9in h k = 2a = 2 0.4in = 0.8in d2 = N2 17 = = 6.8in P 2.5 1 in d3 = N3 50 = = 20in P 2.5 1 in C = r2 + r3 = 6.8in 20in + = 13.4in 2 2 p= = = 1.2566in P 2.5 1 in tp = p 0.7854in = = 0.6283in 2 2 = d 2 cos = 6.8in cos 20o = 6.3899in d b2 d b 3 = d 3 cos = 20in cos 20o = 18.7939in p b = p cos = 1.2566in cos 20o = 1.1809in 20in 20in 18.7939in sin 20o u a = (r3 + a ) rb 3 r3 sin = + 0.4in 2 2 2 6.8in u a = 1.0360in < 1.1629in = sin 20o = r2 sin 2 2 2 2 2 6.8in 6.8in 6.3899in u r = (r2 + a ) rb 2 r2 sin = sin 20o + 0.4in 2 2 2 20in u r = 0.8944in < 3.4202in = sin 20o = r3 sin 2 u = u a + u r = 1.0360in + 0.8944in = 1.9304in 2 2 2 2 mc = b) u 1.9304in = = 1.6347 p b 1.1809in 6.8in 6.3899in 2 2 2 o = rb 2 + C 2 sin 2 r2 a 2 = 0.4in < 2.1868in = + (13.4in ) sin 20 2 2 20in 18.7939in 2 2 2 o a 3 = 0.4in < 0.4550in = = rb 3 + C 2 sin 2 r3 + (13.4in ) sin 20 2 2 both satisfied inequalities -> no undercutting 2 2 Problem 2 For a gear train formed by seven spur gears, the numbers of teeth are as shown in the figure. Compute the speed ratio e of the gear train. Determine the speed 8 and direction of rotation for gear 8 if gear 2 is driven at 1200 rpm (CCW). Solution e= 8 = e2 = 0.05682 1200rpm = 68.18rpm (CCW ) Problem 3 N 2 N 4 N 5 N 7 N 2 N 4 N 7 18 15 16 5 = = = = 0.05682 N 3 N 5 N 6 N 8 N 3 N 6 N 8 44 36 48 88 In the planetary gear train shown in the figure, the internal gear 7 turns at 60 rpm (CCW). Using the tabular method, determine the speed and direction of rotation of arm 3. Solution Step Gear 2 Arm 3 1 1 1 2 3 1 0 0 1 Gear 4 1 20 1 ( 1) = 2 40 3 2 Gears 5 / 6 Gear 7 1 1 40 1 10 36 10 20 = = 9 154 9 77 18 2 1 57 9 77 3 1 77 = = = 1.351 7 57 57 77 3 = 1.351(60rpm ) = 81.05rpm (CCW ) Problem 4 In the planetary gear train shown in the figure, shaft B is stationary and shaft C is driven at 380 rpm (CCW). Using the tabular method, determine the speed and direction of rotation of shaft A. Solution Step 1 2 3 Gear 2 Gear 3 / Arm 4 Gear 5 24 4 1 1 = 18 3 0 4 3 0 1 1 0 Gears 6 / 7 1 18 18 ( 1) = 42 42 60 42 Gear 8 1 3 20 18 = 14 40 42 11 14 4 2 56 = 3 = = 1.697 11 8 33 14 2 = 1.697(380rpm ) = 644.8rpm (CW ) Problem 5 In the Lvai typa-L planetary gear train shown in the figure, the teeth numbers are as follows: N2=16, N4=19, N5=17, N6=24 and N7=95. Internal gear 7 is fixed and gear 2 is driven at 100 rpm (CW). Using the tabular method, determine the speed and direction of rotation of arm 3. Solution Step 1 Gear 2 Arm 3 Gear 4 1 1 1 1615 19 85 17 95 85 = 2 0 = 384 16 24 19 24 24 1231 109 3 1 24 384 3 384 1 = = = 0.3119 1231 2 1231 384 3 = 4 = 0.3119( 100rpm ) = 31.19rpm (CCW ) Gears 5 / 6 Gear 7 1 1 95 95 ( 1) = 1 24 24 71 0 24
Textbooks related to the document above:
Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

Stevens - ME - 358
ME 358 Homework Solution 5Problem 1 Derive the differential equations of motion for each of the systems shown in the figure and write the formula for the circular natural frequency n for each system.Solution&amp; Assume x &gt; y , x &gt; y , x &gt; 0a)x
Stevens - ME - 358
ME 358 Homework Solution 3Problem 1 For the linkage shown, the velocity of point B is vB = 40 m/s to the left, the distance between points A and B is RBA = 400 mm and the angles are = 15o and = -45o as indicated in the figure. Using the analytical
Stevens - ME - 358
ME 358 Homework Solution 2Problem 1 For the inverted slider-crank mechanism shown in the figure, assume that a motor is used to actuate link 2. The link lengths are as follows: RCA = 40 mm, RBA = 20 mm, RPB = 65 mm. Using the analytical method discu
Cornell - COGST - 1101
Introduction to cognitive science What is Cognitive Science? Interdisciplinary study of mind &amp; cognition What is cognition? What is the mind? What is interdisciplinary study? Within discipline approach to research Multi-discipline approach t
Cornell - COGST - 1101
The Visual System Optics System to control light and focus it on a sensitive surface Pinhole camera Small hole focuses light in correct location But small hole = not much light! Lens &amp; Iris camera Iris allows more or less light Adjustable len
Cornell - COGST - 1101
Learning Language acquisition Language is learned Brains develop over a lengthy time period Lots of animals dont need to learn Ready-to-run out of the box Innate behaviors In single-celled orgs In bugs In fish In mammals Humans require lots
Cornell - COGST - 1101
Cognitive psychology Neissers definition o All processes by which sensory input is transformed, reduced, elaborated, stored, recovered and used Reisbergs definition o The empirical investigation of mental processes and activities used in perceiving
Cornell - COGST - 1101
Does the soul exist separate from the body? o More generally, do things other than material stuff exist? o If so, what purpose do they serve? Folk psychology of the mind &amp; the brain The brain is made up of physical stuff, neurons, electrical impulse
San Diego State - BIOL - 101
Bacteria Key Features Protista Key Features Fungi Key Features Eukaryotic Contain nucleus (DNA in chromosome) and complex organelles Multi-cellular Have cell wall (different than plants, because they don't contain cellulose) Heter
San Diego State - HIST - 101
The nation-state as a imagined community The individual is expected t share an intellectual and emotional bond with all members of the national community even though there may be tens or hundreds of millions of them. The state has good reasons to pr
San Diego State - GERO - 101
CaregiverThe term caregiver refers to anyone who provides assistance to someone else who is unable to manage all his/her own affairs due to physical and/or mental limitations. The people who receive care usually need help with basic daily tasks,
San Diego State - REL S - 101
RS101 World ReligionsBuddhism Study Guide Lecture/Reading: The Problem for Humans The Four Noble Truths Buddhist notions of karma 3 Main Buddhist Schools Basic understanding of the ten precepts Movie: Do the gods assist followers in attaining nirva
San Diego State - HIST - 101
History 101 World History Historical Thinking Page Week 9 March 17-21 Your Name:_ Your Section No. and Leaders Name:_ Read: Marks, Origins of the Modern World, Ch 4: The Industrial Revolution and Its Consequences (108-121); Reilly, Worlds of History,
San Diego State - HIST - 101
History 101 World History Historical Thinking Page Week 8 March 10-12 Your Name:_ Your Section No. and Leaders Name:_ Read: Christian, This Fleeting World, Our World: The Modern Era (58-68); Marks, The Origins of the Modern World, Ch 4: The Industria
UIllinois - CS - 411
CS411 Database SystemsSpring 2007 HW #1 Due: 11:30am CST, 2/15/07Note: Print your name and NetID in the upper right corner of every page of your submission. Handin your homework to Trisha Benson in 4322 SC.Problem 1 ER diagramConsider the follow
UIllinois - CS - 411
CS411 Database SystemsSpring 2007 HW #2 - Part 1 Due: 1:55pm CST, 2/27/07Note: Print your name and NetID in the upper right corner of every page of your submission. Handin your stapled homework to Trisha Benson in 4322 SC. In case Trisha is not in
UIllinois - CS - 411
CS411 Spring 2007 Midterm SolutionProblem 1 (20 points) Multiple ChoiceFor each of the following statements, choose ONE answer among A,B,C,D,E. You will get 2 points for each correct answer, 0 points for each incorrect answer. (1) Which one of the
UIllinois - CS - 411
CS411 Database SystemsSpring 2007 HW #4 Due: 1:55pm CST, 4/26/07Note: Print your name and NetID in the upper right corner of every page of your submission. Handin your homework to Trisha Benson in 4322 SC. In case Trisha is not in oce, slide your h
UIllinois - CS - 411
CS411 Database SystemsSpring 2007 HW #4 Due: 1:55pm CST, 4/26/07Note: Print your name and NetID in the upper right corner of every page of your submission. Handin your homework to Trisha Benson in 4322 SC. In case Trisha is not in oce, slide your h
UIllinois - CS - 411
CS411 Database SystemsSpring 2007HW#3Due: 1:55pm CST, 04/10/07Note: Print your name and NetID in the upper right corner of every page of your submission. Handin your stapled homework to Trisha Benson in 4322 SC. In case Trisha is not in oce, sli
UIllinois - CS - 411
CS411 Database SystemsSpring 2007HW#3 - Part 1 SolutionDue: 1:55pm CST, 04/10/07 Problem 1 Merge-SortSuggested reading: Chapter 11.4Suppose we have a relation with 2.2 billion tuples and each tuple requires 300 bytes. We have a machine whose m
UIllinois - CS - 411
CS411 Database SystemsSpring 2007 HW #2 - Part 1 Due: 11:30am CST, 2/27/07Note: Print your name and NetID in the upper right corner of every page of your submission. Handin your stapled homework to Trisha Benson in 4322 SC. In case Trisha is not in
UIllinois - CS - 411
CS411 Database SystemsSpring 2007 HW #1 Due: 11:30am CST, 2/15/07Note: Print your name and NetID in the upper right corner of every page of your submission. Handin your homework to Trisha Benson in 4322 SC.Problem 1 ER diagram(10 points)Consi
UIllinois - CS - 411
CS411 Database SystemsSpring 2007 HW #2 - Part 2 Due: 1:55pm CST, 03/06/07 Problem 5 SQL(30 points, 6 points each)Consider the following relations: Students(sid, sname, department) Courses(cid, cname, department) Register(sid, cid, semester, year
UIllinois - CS - 411
CS411 Database SystemsSpring 2007 HW #2 - Part 2 Due: 1:55pm CST, 03/06/07Note: Print your name and NetID in the upper right corner of every page of your submission. Handin your stapled homework to Trisha Benson in 4322 SC. In case Trisha is not in
UIllinois - CS - 411
NetID:CS411 Database SystemsFall 2006Department of Computer Science University of Illinois at Urbana-ChampaignMidterm ExaminationOctober 20, 2006 Time Limit: 75 minutes Print your name and NetID below. In addition, print your NetID in the upp
Johns Hopkins - ENGLISH - 101
Topic 4: The Wife of Bath and the PardonerDerek Ems 2/25/2008EmsIn Geoffrey Chaucers, The Canterbury Tales, an interesting assemblage of 29 pilgrims is led by a host on their way to visit the shrine of the martyr Saint Thomas Beckett. On their p
Johns Hopkins - ENGLISH - 101
1Derek Ems Professor Halpern/ Beth Steedley Milton Paper/ Prompt 3 April 28, 2008 When one thinks of Satan, adjectives such as evil, wicked, and immoral come to mind. This is only partially correct when analyzing Satan in John Miltons, Paradise Los
Johns Hopkins - ENGLISH - 101
Ems 1Derek Ems Professor Halpern/Beth Steedley Spenser Paper/Prompt # 2 March 31, 2008 When Edmund Spenser set out to write his epic poem, The Faerie Queene, he was not trying to create something entirely original but rather an amalgamation of many
Johns Hopkins - HIST - 130
Derek Ems 10/8/07 Weni vs. Harkhuf Comparison The ancient autobiographies of Weni and Harkhuf are examples of text that enable us to view what the 6th Dynasty was like socially and politically. Weni and Harkhuf were what we consider today as bureaucr
Johns Hopkins - HIST - 130
The Archaeological Dig of a Native American, Colonial, and Industrial Site. Southern New JerseyDerek Ems Introduction to Archaeology Prof. G. Schwartz Essay Assignment April 10, 2008 Introduction The site that I chose to study was an area near the B
UIllinois - RHET - 105
Patrick Driscoll RHET 105 9/8/08 BookMark I havent always liked reading. When I was younger it was always such a chore for me. I would read books and not understand half the stuff I was reading, but that was when I was a child. Since then I have lear
UIllinois - RHET - 105
RHET2008-09-03Analysis-What is it? Cross the street-safe or not? Homework- do it or not do it? Movies- discussing topics in the movies Football games- think about what could have been done better Friendships- am I making the right choice wit
UIllinois - RHET - 105
Title Exercise2008-09-10I didnt start believing in karma until recently Karma I Believe Who is Karma Why Me? Does Karma Exist? Lottery Tickets and Karma Black eyes and Lottery Tickets Thinking about Karma On Point This Essay is About Luck Karma L
USC - ACCT - 410x
Chapter 14Financing with DebtQUESTIONS 1. In order to recognize a liability, a company need not know the actual recipient of the assets that are to be transferred or for whom the services are to be performed. For example, a company that provides wa
USC - ECON - 305
ECON 305: INTERMEDIATE MACROECONOMICS SPRING 2008 MARK MOORE PROBLEM SET 6: SOLUTIONS A.CHAPTER10 1. a. b. c. d. e. f. g. h. a. b. c. 3. a. b. c. d. e. True. True. False. False. True. False. True. Uncertain. Example:France:(1.04)50*5,519=\$39.2k. Japa
USC - ECON - 305
ECON 305: INTERMEDIATE MACROECONOMICS SPRING 2008 MARK MOORE PROBLEM SET 7: SOLUTIONS A. CHAPTER 12 1. a. b. c. d. e. f. g. h. a. b. True. True. False. True. False. True. False. False. Mosttechnologicalprogress seemstocomefromR&amp;Dactivities. See discu
USC - ECON - 305
ECON 305: INTERMEDIATE MACROECONOMICS SPRING2008 MARKMOORE PROBLEM SET 5: SOLUTIONSCHAPTER 8Quick Check 1. a. True. b. False. c. False,aslongasexpectationsareincludedintheASrelation. d. True. e. False. f. True. 2. a. No.Inthe1970s,weexperiencedhig
USC - ACCT - 410x
On January 1, Year 1 the B Co. issued \$2,000,000 face value of bonds payable with a 12 year life. The bonds had a coupon rate of 12% annual (compounded semiannually) and were issued to yield 14% annual (compounded semiannually). Interest was payable
USC - PHIL - 140g
Noonan: Main argument: According to tradition Christian theology, you are human if you are conceived by human parents At conception, the fetus receives the full genetic code of a human being He assumes that anything w/ human genetic codings is a h
USC - PHIL - 140g
Ancient Attitudes Abortion was practice in Greek times and in the Roman Era Soranos felt that abortion is necessary only if it threatens the mothers life more Ancient religion did not restrict abortions The Hippocratic Oath Medical Oath from the
WEEKCLS DATES [M-W]1DATES [T-Th]GNB ASSIGNED PROBLEM SOLUTIONSTOPICS READINGSBUAD 250B FALL 2008ASSIGNMENTS [TO BE COMPLETED BY DATE ASSIGNED] Below, Basic Exercises{BE} introduce you to the chapter objectives; Problems{PR} solidify your
USC - PHIL - 140g
Principle of Utility (or the Greatest Happiness Principle) o Actions are right in proportion as they tend to promote happiness o Actions are wrong if they produce the reverse of happiness Hedonistic principle: happiness is pleasure
USC - PHIL - 140g
Good Will Only good will is good without qualification Temperaments like intelligence, wit, judgement, purpose can be good and desirable but they can also be bad and hurtful when the will is not good Without good will, no matter what you do or hav
USC - PHIL - 140g
Famine, Affluence, and Morality: by Peter Singer Begins w/ 2 moral principles o Suffering and death from lack of food, shelter and medical care are bad o If we can prevent something bad from happening (w/o sacrificing anything of comparable moral im
USC - PHIL - 140g
All human beings seek happiness Happiness: Activity of the soul in accordance w/ virtue Virtue: Moral and Intellectual Moral Virtue: Training and habit, someone in between Intellectual Virtue: Produces the most perfect happine
USC - PHIL - 140g
THOMSON: A DEFENSE OF ABORTION Thomson doe not believe that the fetus is a person from the moment of conception She rejects the slippery slope argument for saying this To her, the fetus is no more than an acorn on a tree Although an acorn grows f
USC - PHIL - 140g
(1) early fetus: a fetus before it has any intrinsic properties that themselves confer moral status on the fetus Before the fetus has conscious experience and before it can be subject to experience E.g. When couples begin to care and
USC - PHIL - 140g
Active euthanasia = direct action to kill a patient Passive euthanasia = allowing a patient to die Criticisms of this doctrine: o A) Unnecessary suffering for patients who die slowly and painfully rather than quickly and painfulessly o B)
Rutgers - ME - 650
SOLUTION MANUAL SI UNIT PROBLEMS CHAPTER 2SONNTAG BORGNAKKE VAN WYLENFUNDAMENTALSofThermodynamicsSixth EditionCONTENTSUBSECTION Correspondence table Concept-Study Guide Problems Properties and Units Force and Energy Specific Volume Pressu
Rutgers - ME - 650
SOLUTION MANUAL SI UNIT PROBLEMS CHAPTER 5SONNTAG BORGNAKKE VAN WYLENFUNDAMENTALSofThermodynamicsSixth EditionSonntag, Borgnakke and van WylenCONTENTSUBSECTION Correspondence table Concept-Study Guide Problems Kinetic and potential ene
Rutgers - ME - 650
SOLUTION MANUAL SI UNIT PROBLEMS CHAPTER 7SONNTAG BORGNAKKE VAN WYLENFUNDAMENTALSofThermodynamicsSixth EditionSonntag, Borgnakke and van WylenCONTENT CHAPTER 7SUBSECTION Correspondence table Concept-Study guide problems Heat engines an
Rutgers - ME - 650
SOLUTION MANUAL ENGLISH UNIT PROBLEMS CHAPTER 3SONNTAG BORGNAKKE VAN WYLENFUNDAMENTALSofThermodynamicsSixth EditionSonntag, Borgnakke and van WylenCONTENT CHAPTER 3SUBSECTION Correspondence table Study guide problems Phase diagrams, tr
Rutgers - ME - 650
SOLUTION MANUAL SI UNIT PROBLEMS CHAPTER 6SONNTAG BORGNAKKE VAN WYLENFUNDAMENTALSofThermodynamicsSixth EditionSonntag, Borgnakke and van WylenCONTENTSUBSECTION Correspondence table Concept-Study guide problems Continuity equation and f
University of Texas - PHY - 303K/303L
Chapter 18 Heat and the First Law of ThermodynamicsConceptual Problems1 Picture the Problem We can use the relationship Q = mcT to relate the temperature changes of bodies A and B to their masses, specific heats, and the amount of heat supplied to
University of Texas - PHY - 303K/303L
Chapter 8 Systems of Particles and Conservation of MomentumConceptual Problems1 Determine the Concept A doughnut. The definition of the center of mass of an object does not require that there be any matter at its location. Any hollow sphere (such
University of Texas - PHY - 303K/303L
Chapter 29 Alternating-Current CircuitsConceptual Problems*1 Determine the Concept Because the rms current through the resistor is given byI rms = rms R and both rms and R are independent of frequency, (b) is correct.2 Picture the Problem We
University of Texas - PHY - 303K/303L
Chapter 21 The Electric Field 1: Discrete Charge DistributionsConceptual Problems*1 Similarities: The force between charges and masses varies as 1/r2. The force is directly proportional to the product of the charges or masses.Differences: There
University of Texas - PHY - 303K/303L
Chapter 27 Sources of the Magnetic FieldConceptual Problems*1 Picture the Problem The electric forces are described by Coulomb's law and the laws of attraction and repulsion of charges and are independent of the fact the charges are moving. The ma
University of Texas - PHY - 303K/303L
Chapter 6 Work and EnergyConceptual Problems*1 Determine the Concept A force does work on an object when its point of application moves through some distance and there is a component of the force along the line of motion. (a) False. The net force
University of Texas - PHY - 303K/303L
Chapter 12 Static Equilibrium and ElasticityConceptual Problems1 (a) False. The conditionsFiri= 0 andi ir= 0 must be satisfied.(b) True. The necessary and sufficient conditions for static equilibrium arer i i = 0 .(c) True. T