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Washington - ESS - 101
Sedimentary Rock-Grain size tells you about energy and time its been moving.- Sedimentary structures:-Often stratified into depositional layers. Distinct lines /layers.-The sedimentary lines represent different depositional events anddeposited by gra
Washington - SOC - 292
Levels of organization within school systems:LayersProduction/FunctionPeople/RoleDistrict- Centralized planning- Superintendent-Length of school (year)- Interact with govt- School board-Transportation- Maintenance- Admins-Assemble a supply of
Washington - SOC - 292
NO CHILD LEFT BEHIND TITLES-Title 2= grants to state educational agencies, local educational agencies,partnerships.-Title 3= helps people who cant speak English. Makes sure that they canattain English proficiency and high levels of academic achievemen
Washington - SOC - 292
Three types of explanations from Russell:-Genetic-Cultural: values, norms, beliefs-StructuralCultural Explanation:-Jews and Italians came at same time but Jews did better because cultureemphasized reading.-Italians were more family oriented. Kids d
Washington - SOC - 292
Soc reading notes:Teacher burnout and school reform:-burnout= losing a sense of accomplishment and emotional exhaustion.-three themes of burnout:1. Emotional exhaustion.2. Loss of personal accomplishment.3. Depersonalization, blaming students.-dime
Washington - BIOL - 118
BRONCHIOLES AND BRONCHODILATIONthe sympathetic activation leads to the relaxation of smooth muscles in the walls ofthe bronchioles, causing bronchodilation.-the parasympathetic nervous system causes contraction on the smooth muscles=bronchoconstrictio
Washington - BIOL - 118
Chapter 15:-respiratory system has five functions:1.Providing a large area for gas exchange between air and blood.2.Moving air to and from gas exchange surfaces in the lungs.3.Protecting the respiratory surfaces from dehydration and temperaturechange
Washington - BIOL - 118
E xternal Respiration:1.Pulmonary ventilation = breathing, physicalmovement of air.2.Gas diffusion= across the respiratory membranebetween alveolar air spaces and alveolar capillariesand across capillary cell membranes between bloodand other t iss
Washington - BIOL - 118
RESPIRATORY NOTES-respiratory mucosa lines the conducting portion of system. Can be damaged bypathogens.-the mucous in the nasal cavity filters the air for particles, the turbulent flow alsowarms the air.-Pharynx= shared by the digestive and respirat
Virginia Tech - ESM - 2104
Vectors Forces,Couples,MomentsSunday,August21,20112:27PMWeusevectorstomathematicallymodel,ordescribenumerousphysicalquantities.Inthiscoursewewillusevectorstomodelforces,moments,andcouples.Ifwewanttoworkwithforces,moments,andcouplesweneedtoworkwiththe
Virginia Tech - ESM - 2104
ComponentsWednesday,August24,20117:23PMLecture 2 Page 12/8Sunday,August21,20113:47PMPasted from <http:/edugen.wileyplus.com/edugen/courses/crs1571/pc/meriam9324c02/bWVyaWFtOTMyNGMwMl80Lnhmb3Jt.enc?course=crs1571&id=body&mode=main>Lecture 2 Page 2
Virginia Tech - ESM - 2104
MomentsandCouplesThursday,August25,2011Lecture 3 Page 1ParalleltoMomentarmThursday,August25,20118:51PMLecture 3 Page 2PerpendicularMomentarmThursday,August25,20119:18PMLecture 3 Page 3242hintThursday,August25,20119:37PMConsidersimilartriangl
Virginia Tech - ESM - 2104
ResultantofaforcecouplesystemMonday,August29,20117:57AMLecture 4 Page 1Lecture 4 Page 2Equivalent Aresultant(forcecouplesystem)isequivalenttotheoriginalforcecouplesystemMonday,August29,20118:07AMNote:EQUIVALENTEQUILIBRIUMLecture 4 Page 3Lecture
Virginia Tech - ESM - 2104
StaticEquilibriumThursday,September01,20112:22PMLecture 5 Page 1Thursday,September01,20112:28PMLecture 5 Page 2Reactions2DSunday,September04,20117:19PMLecture 5 Page 3Reactions2DSunday,September04,20117:19PMLecture 5 Page 43/43Sunday,Septe
Virginia Tech - ESM - 2104
StaticsforESM2204Sunday,September04,20117:57PMLecture 6 Page 1StaticsESM2204Sunday,September04,20117:58PMyz193.75mmMyF PP 0 P P M y P.300 .08125 My 0 My .38125P( N m)xaacLecture 6 Page 2PaExampleSunday,September04,20117:58PMLecture 6
Virginia Tech - ESM - 2104
3DforcedescriptionSaturday,September10,20118:03PMF=Fxi +Fyj +FzkF=Fcosxi +Fcosyj +FcoszkLecture 7 Page 13DforceSaturday,September10,20118:08PMF=Fxi +Fyj +FzkF=Fcoscosi +Fcossinj +FsinkLecture 7 Page 23DforceusingthedirectionofalineSaturday,Se
Virginia Tech - ESM - 2104
MomentofaForce3DWednesday,September14,20113:40PMLecture 8 Page 1exampleThursday,September15,201110:55AMLecture 8 Page 22/142Thursday,September15,201110:57AMLecture 8 Page 3exampleThursday,September15,201110:57AMLecture 8 Page 4
Virginia Tech - ESM - 2104
Moment due to a pair (couple) of forcesThursday, September 15, 201112:11 PMLecture 9 Page 1Adding moments in different directions (3D)Wednesday, September 14, 20115:03 PMLecture 9 Page 2Moment about a axis (component in direction of line/axis)Wed
Virginia Tech - ESM - 2104
Equivalent force couple systemsWednesday, September 14, 20115:04 PMLecture 10 Page 1"wrench" force couple combinationThursday, September 15, 201110:54 AMLecture 10 Page 2Resultant Sum of the forces and sum of the momentsMonday, September 26, 2011
Virginia Tech - ESM - 2104
3D EquilibriumTuesday, September 27, 201111:20 AMTYPES of REACTIONS FOR FBD CONSTRUCTION!Lecture 11-12 Page 1ExampleTuesday, September 27, 20111:51 PM500Kg, tension in cables?Lecture 11-12 Page 2ExampleTuesday, September 27, 20111:55 PMReacti
Virginia Tech - ESM - 2104
Ch. 2: Force Systems2.0 Outline Overview of Forces2727282-D Force Systems Rectangular Coordinate Systems Force, Moment, and Couple Resultants3345613-D Force Systems Rectangular Coordinate Systems Force, Moment, and Couple Resultants8595
Virginia Tech - ENGE - 1024
WELCOME!Engineering ExplorationEngE1024Week 11 LessonENGINEERINGEDUCATIONOutlineAnnouncementsHW reviewTest 2LabVIEW Programming Shift registers While loopENGINEERINGEDUCATIONHW Review Today - HW 9 LabVIEW problems HW 10 PDF of solution wi
Virginia Tech - AERO - 1234
Hydrogen Diffusion Information:1. Hydrogen storage properties of nano-composites of Mg and ZrNiCr alloyshttp:/www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TX9-403795Y4&_user=10&_coverDate=05%2F31%2F2000&_rdoc=1&_fmt=high&_orig=gateway&_origin=ga
Virginia Tech - AERO - 1234
InnerBladderMaterialCopperSteel(LowAlloy)TungstenCarbideNickelCoatedHydridePalladium(Hard)OuterShellMaterialSteel(LowAlloy)CarbonReinforcedPolymerCobalt/NickelSuperalloy7075Al/Aramid60%Al40%CFiberReinforcedCompositeInnerBladderMaterialCopper
Virginia Tech - AERO - 1234
MSE2034 Homework #5Due Thursday, February 252 pts each, Maximum Score = 14/141) Given the following stress-strain data [for a 6061-T6 aluminum alloy], construct areasonable stress -strain curve for this material, to scale, and label the important feat
Virginia Tech - AERO - 1234
MSE2034 HW#7Due Thursday, March 17Maximum Score = 12/10 (1 pt each, except 2 pts for Problems 8 & 9)1) Consider a typical sample of window glass with elastic modulus of 69 GPa. If themost severe flaws in this sample are internal cracks with a total le
Virginia Tech - AERO - 1234
MSE2034 Homework #8Due Thursday, April 1Maximum Score = 10/101) [6 points] Several alloy compositions are listed below. Assume that we want tocool each one down from a liquid state to room temperature (or the lowest Tgiven on the appropriate phase di
Virginia Tech - AERO - 1234
MSE2034 HW#10 (STALEY)Due Thursday April 15Max Score = 10/10 [2 points each]1) The isothermal TTT diagram for 1.13% plain carbon steel [AISI-SAEdesignation=10110] is given in Fig 10.39. Using this figure, and the steel phasediagram in Fig 9.24, answe
Virginia Tech - AERO - 1234
MSE2034 (Staley) HW#11Due Thursday, April 22Maximum Score = 16/12 [2 pts each, 4 pts extra credit]1) Compare the following ceramic processing techniques in terms of what they do tothe composition and structure of the materials they are used for, and e
Virginia Tech - AERO - 1234
MSE2034 HW#3Max Score = 10/10. Point values specified below.Due Thursday, February 41) Two of the most common types of polymers we hear about in everyday use arevinyls and polyesters. These are not specific compositions, but rather classesof material
Virginia Tech - AERO - 1234
MSE2034 HW#6Due Thursday, March 42 pts each, 10 points total1) A zinc single-crystal is put into a tensile test condition. Its operative slip plane normalmakes an angle of 65 with the tensile axis. The three possible slip directions on thisplane make
Virginia Tech - AERO - 1234
Example Plane curvilinear motion in n-t coordinates1. The design of a camshaft-drive system of a four-cylinder automobile engine is shown. As the engine is revved up,the belt speed v changes uniformly from 3 m/s to 9 m/s over a three-second interval. Ca
Virginia Tech - AERO - 1234
v=linspace(0,200)w=178*10^3;s=92.9;q=.5*1.225*v.^2;cl=w./(q.*s);cd=cdo+cl.^2/(pi*e*AR);tr=w/(cl./cd);.pr=tr*v;
Virginia Tech - AERO - 1234
Department of Engineering Education, EngE 1114Virginia Polytechnic Institute and State UniversityCopyright 2010Page 1 of 3Summary of MATLAB CommandsTo get help (typed in the command window at the prompt >)helpDisplays a list of areas of related com
Virginia Tech - AERO - 1234
R e v ie w o fs e q u e n c e s 1 .cfw_ a n is a s e q u e n c e w h e r e a n is t h e n tht e r m o ft h e s e q u e n c e .2 .A s e q u e n c e is a fu n c t io n .l3.Asequenceconvergesif nim an = L whereLisafiniter e a l n u m b e r .8 .2 I n
Virginia Tech - AERO - 1234
R e v ie w S e r ie s 1H a r m o n ic s e r ie s : nn =1diverges. arn 1Geometric: n =1orar nn =0aif r < 1 .1.Ageometricseriesconvergesto 1 rTheseriesdivergesif|r|1.a2.Telescoping:n =1n an + cTests1.an =1nconvergestoLifthesequence
Virginia Tech - AERO - 1234
8.4ComparisonTestsRecallweprovedthattheHarmonicSeriesdivergedbecause11 n >1+ 2n =1n =1ComparisonTest a beaserieswithnonnegativeterms.a. a convergesifthereisaconvergentseries cLetnnwithancnforalln>NforsomeintegerN.n a divergesifthereisadiver
Virginia Tech - AERO - 1234
8 .5 R a t io T e s t Def:Letan beaserieswithpositivetermsandsupposean +1lim= .that n an1. Theseriesconvergesif < 1.2. Theseriesdivergesif > 1or isinfinite.3. Thetestisinconclusiveif = 1.5nEx. n 3 n =15nEx. n! n =1n+2Ex. 5 n 2 + 3 n =1
Virginia Tech - AERO - 1234
8 .6 A l t e r n a t in g S e r ie s ,A b s o l u t e a n d C o n d it io n a l C o n v e rg e n c e (1) n +1 an Alternatingserieshavetheform n =1a1a2+a3a4+.AlternatingSeriesTest(1) n +1 an convergesif:n =11.an>0foralln2.anan+1forallnNforsomeint
Virginia Tech - AERO - 1234
8 .8 T a y l o r a n d M a c l a u r e n S e r ie s Justasitseasiertoapproximatesomenumbers( 3.14,2 1.414) ,sometimeswewanttoapproximateafunctionclosetoapointwithsimplertermsforexamplewemightwanttouseapolynomial.Ex.f ( x ) = e x atx=1yxIngenera
Virginia Tech - AERO - 1234
8 .9 C o n v e r g e n c e o fT a y l o r S e r ie s Y o u s h o u l d k n o w t h e M a c l a u r in s e r ie s :uneu = n = 0 n!u 2 n +1sin u = (1)(2 n + 1)!n =0nu 2ncos u = (1)(2 n)!n =0nW e c a n u s e t h e s e t o fin d s e r ie s fo r
Virginia Tech - AERO - 1234
1 0 .5 L in e s a n d P l a n e s ConicsI.ParabolasEquationAxisOpensx 2 = 4 py yaxisupx 2 = !4 py yaxisdowny 2 = 4 px xaxisrighty 2 = !4 px xaxisleftx 2 = 4 y and y 2 = 6 x .Belowaregraphsof-3-2-11230.6- 0.50.40.2- 1.0-0.2
Virginia Tech - AERO - 1234
1 0 .6 Q u a d r ic S u r fa c e s I.Cylinders:Anyequationthatcontainsonly2ofthe3variables.(Thethirdisunrestricted.)x 2 + z 2 = 4 SketchthecrosssectionsforEx.y=constant.yz = 1Ex.Sketchthecrosssectionsfory=constant.y = x 2 Do:SketchSketchthecr
Virginia Tech - AERO - 1234
1 2 .1 F u n c t io n s o fS e v e r a l V a r ia b l e s O n e v a r ia b l e Thestatementy=f(x)oryisafunctionofxmeansthatydependsonx.x=independentvariabley=dependentvariableDomain=cfw_x|f(x)isdefinedRange=cfw_f(x)|xisamemberofthedomainT w o v a
Virginia Tech - AERO - 1234
1 2 .2 L im it s a n d C o n t in u it y R2: lim f ( x ) = L meansthatifxisclosetoc,thenx cf( x ) is c l o s e t o L .D e f :lim f ( x ) = L > 0, > 0 such thatx c if x c < then f ( x ) L < R 3: lim( x , y )( a , b )if 0 <f ( x, y ) = L > 0, >
Virginia Tech - AERO - 1234
1 2 .3 P a r t ia l D e r iv a t iv e s Belowisachartofelevationabovesealevelatanypoint(x,y)infeet.(+x=East,+y=North)x y 6 4 2 02464 1521862092182091861522 19323626627726623619302092562883002882562092193236266277266
Virginia Tech - AERO - 1234
1 2 .4 C h a in R u l e Supposez=f(x,y),x=g(t),andy=h(t).Ultimatelyzdependsdzont.Wewanttofind dt .dfEx.f(x,y)=x2y,x=3t+1,y=6t2:Find dt .Ex.f(x,y)=ln(xy),x=et,y=et:Finddfdt .Ex.fx=cost,fy=sint,x=t24t,y=lnt:dfFind dt .Supposez=f(x,y),x=g(s,t),an
Virginia Tech - AERO - 1234
12.5DirectionalDerivativesandGradientsNowwewanttocalculatetheslopeatanypointmovinginanydirection.(Sofarwehaveonlymovedinthe+xand+ydirections.)xy.20.22.2271.8270.8269.822782772761.8280.2279.2278.2Findtheslopemovinginthenortheastdirectio
Virginia Tech - AERO - 1234
1 2 .7 .E x t r e m e V a l u e s R 2Localextremaoccuratcriticalpointswhere f ( x ) = 0 orf ( x ) isundefined.Tests1. Firstderivativetest2. SecondderivativetestR3 ,Localextremaoccuratcriticalpointswhere f ( xy ) = 0 orf ( x, y ) isundefined.Note
Virginia Tech - AERO - 1234
13.1DoubleIntegralsoverRectanglesR2:Motivation_fxa1.2.3.4.5.Def:babnf ( x ) dx = lim f ( x k ) xx 0k =1where x isthewidthofeachsubintervalandxkissomepointinthekthsubinterval.R3:Motivation_0.50.02.00.51.51.00.50.01.01.2.3.4
Virginia Tech - AERO - 1234
1 3 .2 D o u b l e I n t e g r a l s o v e r G e n e r a l R e g io n s Supposetheregionisnotrectangular.Integrate2cos00e sin drd Def:Anxyregion(orxyplane)iscalledatypeIregionifanyverticalstrip(intheydirection)alwayshasthesameupperandlowerboundar
Virginia Tech - AERO - 1234
1 3 .3 A r e a Def:TheareaofaclosedboundedplaneregionRis 1RdAEx.Findtheareaoftheregionboundedbyx=12y 3 and x y = 1.2Def:TheaveragevalueoffoverRis1area of R fRdAEx.Findtheaveragevalueoff(x,y)=x+yovertheregionOx3and0y2.Ex.Findtheaverageval
Virginia Tech - AERO - 1234
1 3 .4 P o l a r C o o r d in a t e s x = r cosy = r sin ytan =xx 2 + y 2 = r2 f ( x, y )dA = Rbaf ( r cos , r sin ) r drd and a r b .Ex.LetRbetheregionshownbelow.321-3-2-1123-1-2-3Ex.21-2-112-1-2where11 x 21 x 2 y
Virginia Tech - AERO - 1234
13.5TripleIntegralsinRectangularCoordinatesSingleIntegralfxabDomain:Area:DoubleIntegralDomain:Area:Volume:Mass:TripleIntegralDomain:Volume:Mass: f ( x, y, z)EdV =Volume: (1)dV = =ES( 1
Virginia Tech - AERO - 1234
1 3 .7 C y l in d r ic a l C o o r d in a t e s C y l in d r ic a l zH r, q , zLyxr 0 ,r is t h e d is t a n c e fr o m t h e o r ig in t o t h e p r o j e c t io n P in t h e x y p l a n e .0 2 , istheanglefromthexaxistothelineb e t w e e n t h
Virginia Tech - AERO - 1234
1 3 .7 S p h e r ic a l C o o r d in a t e s S p h e r ic a l zyx 0 , is t h e d is t a n c e o ft h e p o in t t o t h e o r ig in . is t h e p o s it iv e a n g l e b e t w e e n t h e p o s it iv e x a x is a n d thelinesegment OP .0 , is t h e
Virginia Tech - AERO - 1234
Math 2224 Sequence/Series Review I. Write the first four terms of each sequence. Determine whether each one converges or diverges. If it converges, find the limit.1 5n 4 an = 4 n + 8n3 1.2.an =sin n n3. an =(2 )nn2II. Determine the convergence or
Virginia Tech - AERO - 1234
2D Particle Kinematics Motion in x-y coordinatesPosition: coordinates of the particle ( x(t), y(t) )Vector definition position vector r (t ) =) i + y (t ) , r =2 + y 2 tan =xx(t jxy/r r rVelocity: average velocity = = 2 1 ,avet t2 t1 dr= = x i
Virginia Tech - AERO - 1234
2-D Particle Kinematics Motion in n-t coordinates (path coordinates)(1) Velocity: = tDirection - velocity is tangent to the path, so is directed along the +t axis.dswhere s is the actual traveling distance along the trajectoryMagnitude (speed) - =dt
Virginia Tech - AERO - 1234
Introduction Physics provides quantitative explanations to the basic phenomena in our universe based onexperimental observations and mathematical analyses. Physics approach: observations building an idealized model with assumptions and simplifications
Virginia Tech - AERO - 1234
1D/2D Particle Kinetics Newtons 2nd lawGeneral approach to solving Newtons 2nd law problems1. Identify the motion (the type of motion) and its characteristics.2. Draw FBD.3. Set up proper coordinate system based on the motion:a. x-y: horizontal or ve