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some of the word problems

Course: PPE 153, Fall 2011
School: UPenn
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Paradox: Easterlin Happiness is related to relative income, not absolute income. Not much change in well-being as nations become wealthier Easterlin found that within a given country people with higher incomes are more likely to report being happy. However, in international comparisons the average reported level of happiness does not vary much with national income per person, at least for countries with income...

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Paradox: Easterlin Happiness is related to relative income, not absolute income. Not much change in well-being as nations become wealthier Easterlin found that within a given country people with higher incomes are more likely to report being happy. However, in international comparisons the average reported level of happiness does not vary much with national income per person, at least for countries with income sufficient to meet basic the theory that relative levels of money have much more influence on our psychological wellbeing than absolute levels. The theory was proposed after Easterlin noticed that peoples happiness, while higher for affluent people within countries, was not higher between countries. That is, a person earning $100,000 per year in America would report being happier than his $40,000 compatriot, but would be no happier than a Hungarian earning $40,000 per year. It is in our ability to compare ourselves that our sense of wellbeing lies, not in how much money we actually have. Easterlin equally proposed a non-linear trajectory on a happiness vs money scale. Past a certain point of basic need provision (shelter, food, security), he suggested that continued economic growth does not substantially influence our expression of happiness. As Carol Graham, a senior fellow at the Brookings Institution in Washington, said: happiness seems to rise with income up to a point, but not beyond it. Easterlins paradox became the theoretical base underlying an alternative economic paradigm where governments role was to promote stability rather than growth. This way, people would not be so exposed to job loss with its concomitant negative consequences, while theoretically the slower growth would not have a significant dampening effect on peoples happiness. Not everyone agrees with Easterlin. Justin Wolfers and Betsey Stevenson, challenged the validity of the paradox, stating that their findings indicate a clear role for absolute income and a more limited role for relative income comparisons in determining happiness. We are left with the question: does the Easterlin paradox bear up under scrutiny, or not? This post is not designed to answer that question. I think that Easterlins ideas resonate with a lot of people who are disillusioned with the current state of economic affluence. However, in weighing up the arguments and counter-arguments, I think its important to note several points Firstly, as a philosopher friend of mines elegant thesis concluded, happiness and welfare are vexingly difficult to measure. Self-report is fraught with cultural, sexual, social obstacles that distort responses. This contributes to ongoing debate about the accuracy of the data. Moreover, happiness is influenced by relativity (how happy we were yesterday affects our mood today) and habituation (a heightened mood induced by a positive event slowly loses its luster, and generally returns to a persons base level of happiness). Secondly, relativity itself is relative. The argument that Wolfers and Stevenson bring is that the effects of absolute income are a powerful predictor of happiness. That is to say, a person earning $200,000 per year in America will be happier than someone earning $100,000 in Hungary, even if they exist on relatively similar socio-economic levels within their countries. However, I wonder whether the growth of the mass-media and the Internet have negated any sense of proximal versus distal relativity. Our Hungarian can measure himself just as easily against our American as against his fellow countrymen, because of the spread of information and programming across the planet. This globalization creates an environment that highlights rather than downplays relative income disparities. Thirdly, affluence is a pretty good deal. Economic growth can pay for investments in scientific research that lead to longer, healthier lives. It can allow trips to see relatives not seen in years or places never visited. When youre richer, you can decide to work less and spend more time with your friends. It is churlish not to recognize the benefits of the wests current economic strength. Stevenson and Wolfers believe there is a robust relationship between well-being and income (or more precisely the log of income). Midwesterners' miscalculation may stem from the fact that they are focusing on one positive aspect of Californians' lives, such as the climate, while failing to consider the potential negatives, such as the cost of living, the number of available job opportunities and personal safety. The reason our assumptions are often inaccurate is simple, says Hsee. "We're not really built to be happy, we're built to survive," he says. "It is only in recent human history that survival is no longer a primary concern and the pursuit of happiness becomes more important." Small gains It's a clich that money cannot buy happiness, and psychologist David Schkade, PhD, a University of Texas, Austin, business professor, suggests the saying is false: Money does factor into people's well-being, it just doesn't matter as much as how people use their free time. For instance, in a 2006 Science (Vol. 312, No. 5,782, pages 1908-1910) study, Schkade found that people who made more than $90,000 a year were nearly twice as likely to report being "very happy" than people who earned less than $20,000. But there was hardly any difference between people earning $50,000 and $89,999. "Money makes a difference in getting you safe, warm and fed," he says. "But then once those things are taken care of, it comes down to how you are spending your time: Are you doing the things you would like to be doing?" The finding suggests that people who are always anxious to get their next raise fail to experience a significant long-term happiness boost because once they earn the raise, they're already seeking their next one. Only when people use their newfound income to spend more time on leisure do they experience a well-being gain. But for the most part, Schkade found that as people's incomes rise, they do not spend much more time relaxing. In fact, people with incomes between $20,000 and $99,999 reported spending 8.1 percent of their time in leisurely pursuits, which is only slightly less than the 10.2 percent for people with incomes more than $100,000. Yet those higher income earners also reported spending more time taking part in work-related compulsory activities and devoting more of their time to working or commuting. More money, more responsibility The finding also offers an explanation as to why a higher income does not provide the boost to people's happiness that others frequently assume: Outside observers focus on how their wealthy neighbors can afford to play golf and take expensive vacations, and they fail to account for the increased time big earners must spend commuting and working. These blinders are an example of what researchers call a "focusing illusion," where observers make judgments based on wrongly weighted information. And in areas besides raises, this illusion may be the culprit for why we are so bad at predicting what makes us happy, says Schkade. For instance, when buying a home, people too often focus on curb appeal, or how attractive the house looks from the street, while failing to think about how the house fits their daily needs, he says. For instance, a larger house in the suburbs may make buyers forget about the long commute--and pass up a more modest house in the city, he says. "Think about what you would be doing with that commute time," says Schkade. "Since commuting is the bottom of the barrel and spending time with your favorite people is enjoyable, that's probably not a good trade." To remove the blinders, Schkade suggests people systematically reconstruct their daily activities and experiences, and how they felt about them, before making major life decisions. In a 2004 Science (Vol. 306, No. 5702, pages 1776-1780) article, Schkade and his colleagues asked people to answer general satisfaction questions. They then compiled a short diary of their previous day by thinking about their day as a "continuous series of scenes or episodes of a film." The researchers told participants to write down the times at which each episode began and ended, as well as where they were, who they interacted with and how they felt. The researchers found that by evoking the context of their previous day, people reduced such errors as the focusing illusion. Moreover, they found that such general circumstances as income and education had little impact on happiness during a regular day. Another reason people can't predict what makes them happy is their inherent impulsivity, says Hsee. In a 2006 Trends in Cognitive Science (Vol. 10, No. 1, pages 31-37) article, Hsee found that although people aim to act rationally, that desire, paradoxically, can lead people to make irrational decisions. For instance, let's say a man has two concert tickets: One cost $100, the other was free. If he read a few reviews that suggest that the free concert will be more enjoyable than the one he paid for, he'd probably go to the free concert. But if he doesn't want to squander the money he paid for the ticket, he'll go to the other concert. Most often, people choose to attend the concert they paid for, says Hsee. "People often don't spend time to figure out their potential enjoyment," he says. Rather, they seek immediate gratification. Yet as they seek to avoid discomfort and maximize their short-term happiness, they are actually lessening their long-term happiness. But that's not surprising, says Hsee. "From an evolution point of view, our goal is only to survive now," he says. -Happiness is related to relative income, not absolute income. Not much change in well-being as nations become wealthier -argument= wealthy has very little to do life satisfaction, what matters to different countries is relative to the standard of living -people could few happiness in different terms 3. After a certain point (75,000) you dont gain much in pos affect, net blue, Argument= Not that money makes you happier, but not having makes you unhappier-> after that (after a certain point).. Money has very little to do with overall satisfaction Affective Forecasting Errors and Happiness Focusing Illusion people overestimate the extent to which the target event matters Duration neglect and the failure to predict adaptation Projection bias people making predictions about themselves in another state (i.e., sexually aroused) have difficulty imagining how they will feel in the other state Prospect Theory KahnemanandTversky(1979).Theypresentacritiqueofexpectedutility theoryasadescriptivemodelofdecisionmakingunderriskanddevelopan alternativemodel,whichtheycallprospecttheory.KahnemanandTversky foundempiricallythatpeopleunderweightoutcomesthataremerelyprobable incomparisonwithoutcomesthatareobtainedwithcertainty;alsothatpeople generallydiscardcomponentsthataresharedbyallprospectsunder consideration.Underprospecttheory,valueisassignedtogainsandlosses ratherthantofinalassets;alsoprobabilitiesarereplacedbydecisionweights. Thevaluefunctionisdefinedondeviationsfromareferencepointandis losses(riskseeking)andisgenerallysteeperforlossesthanforgains(loss normallyconcaveforgains(implyingriskaversion),commonlyconvexfor aversion)(A hypothetical value function).Decisionweightsaregenerallylower thanthecorrespondingprobabilities,exceptintherangeoflowprobabilities (Weighting functions for gains (w+) and losses (w-) based on median estimates of parameters). Value:thehypothesisthatthevaluefunctionisconcaveforgainsand convexforlosses.Theproposedvaluefunctionis(i)definedondeviations fromthereferencepoint;(ii)generallyconcaveforgainsandcommonly convexforlosses;(iii)steeperforlossesthanforgains. Whilecalculatingthevaluefunctionandassigningweights,wemustnot ignorethefactthatspecialcircumstancesmaydistortpreferences.For example,theutilityfunctionofanindividualwhoneeds$30,000tobuyacar mayrevealanexceptionallysteeprisenearthecriticalvalue(inthiscase, $30,000).Inasimilarway,apersonsaversiontolossesmayincreasesharply nearthelossthatwouldcompelhimtosellhishouseormovetoaless desirableneighborhood.Suchcircumstancesmayreadilyproducelocalized concaveregionsinthevaluefunctionforgainsandconcaveregionsinthe valuefunctionforlosses. WhileProspectTheory,likeexpectedutilitytheory,attemptstopredict preferences,therearemanyunknownsinitsmathematicalmodels.Itseemsto havetheadvantageoverutilitytheoryinitsabilitytoexplainsupposedly irrationalbehavior,andyetmaintainitsabilitytobemathematicallymodeled. Whileitcannotbeasubstituteforconventionalutilitytheory,itcertainlyisan alternativeworthasecondlook. http://en.wikipedia.org/wiki/Prospect_theory utilitygovernment http://www.highbeam.com/doc/1G1-83453326.html Governments,ofcourse,donotrelyexclusivelyonordinary,inexperienceddecisionmakers; theyrely,toagreatextent,onexperts.Consequently,determiningtherelativestrengthsand weaknessesoflayandexpertdecisionmakingisfundamentaltodesigningprocessesthat minimizethedamagecognitivelimitationswillwreakonasociety'sabilitytogovernitself wisely.Indeed,thechoicebetweenexpertandlaydecisionmakingmaybethemostcrucial designdecisiontobemadeinagovernmentengagedinextensivesocialandeconomic regulation. Expertsclearlyhaveadvantagesoverlaypersonsindecisionmaking.Byvirtueoftheir trainingandexperience,theyobviouslyhavemoreknowledge.Byitself,however,knowledge isnotenough;infact,extrainformationfeedscertainprevalentcognitiveillusions.(45)For example,inonestudy,expertanalystsestimatedthatthelikelihoodof"adramaticincrease inoilpricesanda30%dropintheconsumptionofoilintheUnitedStates"wasgreaterthan thelikelihoodof"a30%dropintheconsumptionofoilintheUnitedStates."(46)The greaterdetailintheformereventmadeitseemmorelikely(anexampleofthephenomenon thatpsychologistscallthe"representativenessheuristic").(47) Ifexpertsrelyonheuristicsthatleadthemastray,theextraknowledgetheybringtoa problemmaybecomeuseless,evencounterproductive.Thus,atleastasimportantas knowledgeisanawarenessofjudgmentalpitfallsthatarecommontothetypesofproblems expertsencounter.Onlyifexpertsalsodevelopdecisionmakingcompetencetocomplement theirknowledgecantheyreliablymakebetterdecisionsthanlaypersons. Expertshavetwoopportunitiesfordevelopingsuchdecisionmakingcompetencethatare typicallyunavailabletolaydecisionmakers:experienceandtraining.Byrepeatedlymaking thesametypesofdecisions,expertsencounterthesameproblemsandoften(althoughnot always)obtainusefulfeedbackontheirmistakes.Experienceaccompaniedbyfeedback allowsexpertstoidentifysituationsinwhichtheyareusinginappropriateheuristicsorare trappedbymisleadingschema.Thus,expertscandevelopdifferentwaysofthinkingabout frequentlyencounteredproblemswhenpreviouswaysofthinkingarenotproducing desirableresults. Furthermore,experiencewithdecisionmaking,evenwithoutgoodfeedback,canbehelpful. Psychologistshavenotedthatwhenpeopleperceiveaproblemasuniqueaoneofakind judgmentcalltheytendtorelyonintuitionandmentalshortcutsthatleadthemastray.(48) Forexample,psychologistshavefoundthatpeopleoftenexpressanoverconfidenceintheir abilitytoanswertriviaquestions;whenpeoplesaythattheyare95%confidentintheir answertoaquestion,theyaregenerallyrightabout85%ofthetime.(49)Atthesametime, however,peoplehaveafairlyaccuratesenseofhowmanyquestionstheycananswer correctlyinasetofquestions.(50)Determiningone'sconfidenceinabilitytoansweratrivia questionasanisolatedinstanceincreasesvulnerabilitytocognitiveerror,whereasseeingit aspartofasetleadstoanaccurateassessment.Seeingaproblemasoneofatypeof problemsgenerallyleadstolessrelianceonmisleadingthoughtprocessesandmoreaccurate decisionmaking. Experiencethusfacilitateswhatpsychologistscall"steppingoutside"ofadecisionmaking problemtoassessdecisionmakingstrategies.(51)Experienceddecisionmakershavehad moreofanopportunitytoevaluatehowtheymakedecisions.Withfeedback,theycan determinewhenthementalstrategiesuponwhichtheyrelyproducepositiveresults.Even withoutfeedback,experienceddecisionmakersacquiretheabilitytoseecommonalities acrossproblemsandtorecognizenewrelationshipsbetweenthecharacteristicsofaproblem andasensiblechoice. Furthermore,expertshavetraininginhowtomakedecisions.Overtime,professionstendto developadaptationstocognitivelimitationsthatimpairprofessionaljudgment.(52)For example,anumberofcognitivebiasesmakeitdifficultforcivilengineerstoidentify preciselythenecessarydegreeofstructuralsupportforabuilding.(53)Nevertheless,very fewbuildingscollapseasaresultoflackofstructuralsupport.Thereasonisthatnormsof goodcivilengineeringpracticecallforbuildinginmuchmorestructuralsupportthan appearsnecessary,asasafetyprecaution.(54)Withoutevenidentifyingcognitivelimitations astheproblem,civilengineershavemanagedtodevelopanadaptationthatkeepsthose limitationsfromproducingdisastrousconsequences. Evenwiththeseadvantagesoverlaydecisionmakers,however,expertscanstillfallpreyto illusionsofjudgment.Thepsychologicalliteratureisrepletewithcasestudiesoferroneous orfoolishexpertjudgments.(55)Feedbackthatexpertsreceivemaybebiased,orsubjectto biasedinterpretation,therebymakingitdifficultforindividualsandtheirprofessionstolearn frompastmistakes.(56) Moresignificantly,expertiseintroducesitsownbiases.Notably,expertstendtobe overconfidentabouttheirdecisions.Expertsare"oftenwrongbutrarelyindoubt."(57) Peopleingeneraltendtooverestimatetheirownabilitiesinareasaboutwhichtheybelieve themselvestohavesomegreaterthanaverageknowledge.Thistendencyismore pronouncedinexperts,whoalsotendtohavegreatfaiththattheirprofessionhasidentified mostoftheproblemstheyarelikelytofaceandequippedthemwiththeabilitytosurmount theseproblems.Moreover,expertsmaymyopicallyfocusonissueswithintheirareaof expertiseandtherebyfailtorecognizethatadecisionwouldbenefitfromaccessingother bodiesofknowledgeorwaysofthinking.(58)Expertiseproducesausefulsetofschemato guidedecisionmaking,butlikeallschema,theylimitadecisionmaker'sabilitytothink differentlyaboutaproblemandtorecognizethelimitationsinherentintheschema.Inshort, thementalshortcutsthatexpertsuseproducemoreaccurateresultsthanthoseuponwhich laypersonsrely,butexpertsarelesslikelytoquestionwhethertheyhavemadeagood decision. Thus,althoughexpertsoftenhaveknowledge,experience,andtrainingthatprotectthem fromsomeseriouserrorsthatplaguethelaydecisionmaker,theyarestillpredictablyfallible. Expertsinmanysituationsdonotreceivereliablefeedback,whichinhibitstheiropportunity tolearnfromexperience.Additionally,theytendtobeoverconfidentintheirjudgments, placingtoomuchfaithintheirabilities.Therefore,expertisecanhavesimilarconsequences toheuristicsinlaypersons:clearlyuseful,butdangerousifoverused. C.TheRoleofInstitutionalDesigninAvoidingDecisionmakingTraps Whendecisionsaremadeinanorganizationalsettingthetypicalpracticeinmodern regulatorygovernmentinstitutionaldesigncancountertheeffectofcognitivelimitations. Ofparticularinteresttoregulatorypolicymaking,organizationscanbestructuredto optimizethebenefitsandcostsofexpertdecisionmaking. Onesuchstructuralchoiceinvolvesputtingexpertswithcertainkindsofknowledgeand experienceinchargeofsomeaspectsofthedecision,anddifferentkindsofexpertsincharge ofotheraspects.Forexample,banksseparatethepeoplewhomakedecisionsonprimary loansfromthosewhoworkwithloansindefault.(59)Thefirstgrouptendstodevelopsocial connectionsandcognitiveattachmentstotheborrowerthatcancloudjudgmentabout whetherandwhentoforeclose.Indeed,psychologistshaveidentifiedastrongtendencyin businesspeopletothrowgoodmoneyafterbad("escalatingcommitment").(60)By transferringthemanagementofaloanfromtheinitiallendertoaworkoutspecialist,banks avoidtheerrorintroducedbyescalatingcommitmentandobtainafreshperspectiveonthe questionswhether,andhowlong,togivetheborrowerachancetoworkthroughadifficult period. Furthermore,agroupofexpertscanbesubjectedtoasetofgroundrulesfordecisionmaking thatreducetheeffectsofcognitiveerrors.Forexample,aftersufferingtheconsequencesof poordecisionmakingbyhisnationalsecurityteamintheBayofPigsincident,President Kennedyredefinedhowhisteamwouldoperate.IntheBayofPigsinvasion,Kennedy's advisorshadquicklycoalescedaroundaninitialstrategytowardsCuba,withoutconsidering alternatives.(61)Oncetheyconvincedthemselvesthatthisstrategywassound,theybecame overconfidentaboutitssuccess,makingwildassumptionsabouthowtheplanwould operate.WhentheCubanMissileCrisisarose,Kennedyarrangeddifferentproceduralrules. Hedividedhisdecisionmakersintodifferentgroupsofexpertsandappointedhisbrotherasa "devil'sadvocate."Thisarrangementforcedhisadvisorscontinuallytocritiqueanddefend theirassumptionsandtoconsidercreativealternativeresponsestothecrisis. Ex. A.ThePublicChoiceModelofGovernmentalPolicyFailure Asothershavenoted,(62)publicchoiceisnotaneatlyunitarytheory.Commontoall analyseslabeled"publicchoice"isthecoreconcept,takenfromeconomicthought,of instrumentalrationality:Theindividualwillorderhisbehaviorsoastomaximizethe likelihoodofachievinghisindividuallydefinedgoals.(63)Somepublicchoicetheorists makenofurthermotivationalassumptions.Suchaccounts,usefullydubbed"thin rational[ity]"modelsbyJohnFerejohn,(64)refusetospecifythekindsofgoalsthe individualpursues.ForthesetheoristsexemplifiedbytheworkofSymposiumparticipant DavidSpence(65)theanalysiscanproceedwithoutregardtowhetherindividualsare motivatedbyselfinterest,selflessness,orsomeshiftingcombinationofthetwo.Wedonot considerhereeitherthetheoreticaldefensibilityorprescriptiveutilityofsuchaccounts.(66) Althoughthinrationalityaccountsflourishin(andperhapsdominate)thecontemporary publicchoiceanalysesofpoliticalscientistsandeconomists,(67)theyhavebeenthe exceptionratherthanthenorminlegalscholarship. Here,wefocusonwhathasbeentheparadigmaticpublicchoicetheoryoflegalanalyses. Thisaccountaddstotheassumptionofinstrumentalrationalitythefurtherassumptionthat thegoalofhumanactorsisadvancingindividualmaterialselfinterest.Apparentlyforthe pointisrarelydiscussedexplicitlythereisarangeofviewsaboutwhetherthismotivational assumptionofuniversalselfinterestisaheuristicratherthananassertionoffact.(68)For presentpurposes,itmakesnodifferencewhetherthepublicchoiceaccountrestsonthe descriptiveconclusionthatselfinterestreallyistheexclusivehumanmotivation,oronthe prescriptivejudgmentthatanalysisofgovernmentinstitutionsshouldproceedasifthiswere so.
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Lecture 5 Target Marketing 1 Chapter 9Segmentation*From lecture 1*A market is all the people who*Benefit from your product*Have the resources needed to exchange*Money to spend*Willingness to spend it*Ability to make the exchange*Paradox*Percepti
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Lecture 6 Target Marketing 2 Chapter 9Positioning*Definition*Developing a specific marketing mix to influence potential customers overall perception of abrand, product line, or organization in general.*According to Ries and Trout*Consumers organize
S.F. State - MKTG - 431
Lecture 7: Market Research I Chapter 8DefinitionsDecisionAconsciouschoicefromamongtwoormorealternatives Therehastobemorethanoneoption YoumusttakedifferentcoursesofactionforeachalternativeMarketResearchTheprocessofplanning,collecting,andanalyzingdat
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Lecture 8: Market Research II Chapter 8DefinetheproblemSetresearchobjectivesDescriptive AnswerspecificquestionsCausal Proveit ControlledexperimentResearchobjective Provideinformation AnsweraspecificquestionExploratory Whatarethequestionsweshou
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Lecture 9: Product Development I Chapter 10What is a ProductDefinitionTextbook*Product: A good, service or idea consisting of a bundle of tangible and intangible attributes thatsatisfies consumers and is received in exchange for money or some other u
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Lecture 10 Product Management Chapter 11Product Life Cycle*Concept that explains how products go through four distinct stages from birth to death: introduction, growth,maturity and decline*Aggregate demand over the lifetime of a product*Applies to ge
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Lecture 11: Branding Chapter 11The ABCs of brandingWhat is a brand*Brand name*A name, term, symbol, design, or combination thereof that identifies a sellers products anddifferentiates them from competitors products*Trade name*The name under which a
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Lecture 12: Services Chapter 12Why do a separate lecture*We talked about the product/service bundle*All products have a service component*Standard marketing principles apply*4 ps*However, when the product is primarily intangible, there are some uniq
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Lecture 13: Price Theory Chapter 13What is Price*The element of the marketing mix that determines how much money you make*Too low give money away*Too high drive customers away*Textbook: The money or other considerations (including other products and
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Lecture 14: Price Strategy Chapter 14Legal Issues*Price fixing*Horizontal price fixing*Sherman antitrust act*Temptation for oligopolies*Price signaling*Vertical price fixing*Consumer Goods Pricing Act*Manufacturers cannot dictate prices to retail
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Lecture 15: Distribution 1 Chapter 15What is a channel*Channel of Distribution (Marketing Channel)Individuals and firms involved in the process of making a product or service available for use or consumption byconsumers or industrial users*Always inc
Indian Institute of Technology, Madras - APPLIED ME - AM110
Engineering MechanicsAM1100Tutorial I1. A fence consists of wooden posts and a steel cable fastened to each post and anchored in theground at A and D. Knowing that the sum of the moments about the z a xis of the forces exertedby the cable on the post
Indian Institute of Technology, Madras - APPLIED ME - AM110
AM1100 Engineering MechanicsTutorial 21. A cantilever beam AB is pinned at B to a simply supported beam BC (Fig.1).For the loadsgiven, find the supporting force system at A. Determine force components that are normaland tangential to the cross section
Indian Institute of Technology, Madras - APPLIED ME - AM110
Tutorial-3AM1100 Engineering Mechanics (Jan-May 2011)1. Using the method of joints, find the forces in each of the members in the (a) Prattroof truss and (b) Howe roof truss shown herein. Treat the joint E as freelymobile in the horizontal direction i
Indian Institute of Technology, Madras - APPLIED ME - AM110
AM1100 ENGINEERING MECHANICSTutorial IV (Virtual Work)1. Using the principle of virtual work, determine the components of the pin reactions at Aand B in the figure shown below. Neglect friction at all pins. The force at E is horizontal.2. The slender
Indian Institute of Technology, Madras - APPLIED ME - AM110
AM1100 ENGINEERING MECHANICSTutorial V (Friction)1. A rigid slab of uniform thickness is being hanged by two ropes which are connected toblocks (see figure 1). The friction coefficients of two surfaces are given in the figure. Considerthe static and k
Indian Institute of Technology, Madras - APPLIED ME - AM110
AM1100 ENGINEERING MECHANICSTutorial VI (Kinematics of particles)1. A projectile is launched with speed v0 from point A. Determine the launch angle which results in themaximum range R up the incline of angle (where 0 90o ).2. A ball is thrown horizont
Indian Institute of Technology, Madras - APPLIED ME - AM110
AM 1100 ENGINEERING MECHANICSTutorial 71. If end A of the cord is pulled down with a velocity of va = 4 m/s, and acceleration ofaa = 1 m/s2. Assuming no slip at points where the cord meets the spool, determinei.the angular velocity of the spool and t
Indian Institute of Technology, Madras - APPLIED ME - AM110
Tutorial 8AM1100 Engineering Mechanics1. At t=0, the depicted particle was at rest 1 ft to the right of O. Find the particles velocityand position as functions of time. Then find the acceleration, velocity and position at t=2sec.2. At t=0, OP is at r
Indian Institute of Technology, Madras - APPLIED ME - AM110
AM1100 Engineering MechanicsTutorial - 91. The 200-mm-radius brake drum is attached to a larger flywheel that is not shown. The totalmass moment of inertia of the flywheel and drum is 19 kg.m2 and the coefficient of kineticfriction between the drum an
Indian Institute of Technology, Madras - APPLIED ME - AM110
AM 1100: Tutorial 101. A 3-kg bar AB is attached by a pin at D to a 4-kg square plate,which canrotate freely about a vertical axis. Knowing that theangular velocity of the plate is 120 rpm when the bar is vertical,determine (a) the angular velocity of
Indian Institute of Technology, Madras - APPLIED ME - AM110
AM1100: Tutorial-111. Find the circular frequency of the pendulum.1mM=4kg2. Find the circular frequency of the system.M=5kg0.5m10N/m3. The bar rotates parallel to a horizontal plane. Find the circular frequency of the system.kT=1000NmK1=150 N/m
Indian Institute of Technology, Madras - APPLIED ME - AM110
Indian Institute of Technology, Madras - APPLIED ME - AM110
PROBLEM 3.Gear C is rigidly attached to arm AB. If the forces and couple shown canbe reduced to a single equivalent force at A, determine the equivalentforce and the magnitude of the couple M.125 N200 NSOLUTIONFor equivalenceFx : ( 90 N ) sin 30 +