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University of Florida - PHY - 1020
1D Motionin generalxv= x = v ttva=v = a ttx dxv = Limt 0 tdtx = area under v(t) curvev(t) = slope of x(t) curvea(t) = slope of v(t) curveFor constant acceleration (a=constant) [Important special case]ACTUALLY WILL OFTEN USE y NOT x(vf +
University of Florida - PHY - 1020
2-Da = constant motiont=0v0 (v 0x , v 0y )a (ax ,ay ) constantr0 (x0 , y 0 )Most General Form (actually rarely necessary) v x = v0x + ax tt2 x = x0 + v 0x t + ax 2t2 y = y 0 + v 0y t + ay 2(v 0x + v 0x )t x = v x t =2v x 2 - vox 2 = 2ax (x
University of Florida - PHY - 1020
1Defining the system/systems to efficiently attack specifice questions in coupled massNewtons Law problems.Annotated lecture notes by M. Croft-This figure illustrates the typical approach to a2interacting object problem. Namely, Newtons law foreach
University of Florida - PHY - 1020
7.5Nma 0.798 2(1.3 3.2 4.9) kgsFa(m1 m 2 m3 )F=(m1+m2+m3)aF12m1m2Find F21 and F23I first find a+F32F21 Fm3237.5Nma 0.798 2(1.3 3.2 4.9) kgsFa(m1 m 2 m3 )F=(m1+m2+m3)aF12m1m2+F32F21 Fm323F32 m3aF32 4.9(.798) kg m/s2
University of Florida - PHY - 1020
F=matotalFx =maxFy =mayFtotal = Findividual+Sign convention choice!P Free body diagramm2m1System choiceForce reaction force pairm2TTm1Psystem cuts at point of internal force actionCONSISTANT sign convention choicearound corners!4-0.1Ff
University of Florida - PHY - 1020
5a-1Circular MotionNotes: F and a alwayspoint toward the center.4b-05-1a F V all have constantmagnitude, but change indirection.4b-05-2Car on Flat Curve (static friction holds car on curve)Important: want to find maximum v (car) and minimum R (r
University of Florida - PHY - 1020
dvv2=gdtLdx=vdtCan solve with calculus with luck : can solve numerically for sureEXTRA MATERIAL- NOT REQUIRED FOR PHYS 2034e-1EXTRA MATERIALNOT REQUIRED FOR PHYS 2034e-2solutiondvv2=gdtLdy=v withdty(0)=0v(0)=0EXTRA MATERIAL-NOT REQU
University of Florida - PHY - 1020
Isaac Newton -background born Christmas Day 1642 ( a few months after Galileo died) -1727in Woolsthorpe England (father died a few months before)Mother remarried, raised by grandmother Cambridge University bachelors degree 1665 1665-1667 spent two ye
University of Florida - PHY - 1020
Kinetic Energy (energy of motion) E or KE112222K = m v = m(v x + v y + v z )22exampleUnitsm2[kg 2 ] Js(Joule)baseball m=0.15 kgpitched atv = 69 mph = 36.5 m/s112K = mv = (0.15)(36.5)2 [kg (m/s)2 ]22K = 100 Jv = 69 mphv = 100 mph
University of Florida - PHY - 1020
Mass ConservationMomentum ConservationRecall Newtons Law:F=m aInitialMi = mk= m1 + m2 + m3 + (m v)F = tFinalp=0tConservationof Masswritten differentlyOR pi = pfEm = c2Conservation of (Mass + Energy)= Newtons LawThenp = 0No change i
University of Florida - PHY - 1020
Center of Mass DefinitionsRecall P conservationM = m j = tot. mass1-dimension( m j v j )initial = ( m j v j )finaljjv CM = m j v j / Mj( m j v j )initialjxCM = m jx j / MjMjixCM = m jx j / Mjy CM = m j y j / MjjMMomentum conservation
University of Florida - PHY - 1020
Rotational motion[radians]direction+ ccw- cw=xrad 1=]sec sv=t[rads2=tconst.acceleration = o + t12 = o + o t + t22 2 o = 2 ( - o )instantaneousquantities1f=TTranslational Motion = Lim[ ]t 0 t = Lim[ ]t 0 t[rev1== Hz ]
University of Florida - PHY - 1020
DynamicsRotationalTranslationx[radians]t=t=[xv=trad 1=]sec sallI= mi ri[Kg[m/s]m2][m/s2]m[Kg]i rF rF IK=12I2rolling withoutslipping[Nm][Nm][J]x=rEquilibriumconditionsallva=trads22Statics[m]F[N]F=ma F =0i
University of Florida - PHY - 1020
FGMmR2Satellite MotionGMmU (r) rEi Ef10a-0U (r ) 0how high does it go?Escape velocityKeplers 2nd Law := Areas Angular Mom. Conservation !Newtons Universal Law of Gravity10a-1MFrFmF= force of gravity on m (M) due to M (m)1) F acts along
University of Florida - PHY - 1020
spring SHMF -kxka x 0ma 2 x 0x A sin ( t )v A cos ( t )a = -A 2 sin ( t + )PendulumgL11-0A=xmaxvmax = A amax = A 2km2=2f =T1fTMost mechanical systems- displace from equilibrium- 2 possibilitiesrestoring force 1st approx F=-kxosci
University of Florida - PHY - 1020
Transverse wavev=T=m/LLongitudinal (compression) wavevP12-0Waves - Two Typesv= speed of wave- (disturbance from equilibrium)Longitudinal (compression) wavee.g. soundCoilsCoilsseparating compressedCoils not yetcompressedd = vtTransverse w
University of Florida - PHY - 1020
Wave SuperpositionWaves of small amplitude traveling through the samemedium combine, or superpose, by simple addition.12a-1Ph203:20-6AWave InterferencePrinciple of Linear SuperpositionfTot = f1(x v t) + f2(xv t)Ph203:20-712a-2recall8-10-3212a
University of Florida - PHY - 1020
mVFPAP ghB liq Vdisp gAv const.12P v const.213-0Fluid - Statics - density=MVkgm3FforcePressure: P = A = areaunits:Nm2= Palblboror 22ftinAtmospheric pressure1 Atm = 14.7lbi n21 Atm = 1.01 x 105 Pa13-1sample13-1aPasc
University of Florida - PHY - 1020
mVFPAP ghB liq Vdisp gAv const.12P v const.213-0Fluid - Statics - density=MVkgm3FforcePressure: P = A = areaunits:Nm2= Palblboror 22ftinAtmospheric pressure1 Atm = 14.7lbi n21 Atm = 1.01 x 105 Pa13-1sample13-1aPasc
University of Florida - PHY - 1020
T (K or C)GLSQQ (quant.)Phase changeQ (quant.) C TTemperature change14-0TemperatureHow do we keep track of energy when it is distributed over many,many [~1023] objects that are constantly exchanging energy?Temperature is a measure of the aver
University of Florida - PHY - 1020
http:/phet.colorado.edu/en/simulation/states-of-mattergaskinetic energydominatesliquidkinetic energy+ potential energyimportantH2O someH bondinglost in opensolid structuresolidpotential energydominateshttp:/phet.colorado.edu/en/simulatio
University of Florida - PHY - 1020
Q (quant.)Q (quant.)Ccond TQinto Wby UWby PVFor IGU Tcfw_CP CV REquipartition of energy theoremRT|deg . freedom2WeQHTLe 1THS 0PV=NkTPV=nRT15/16-0Background Info.15/16-115/16-1aBoyles and Charless Laws (IG Law special cases)If the
University of Florida - PHY - 1020
1The Equipartition of Energy Theorem.Annotated lecture notes by M. Croft-Note this material is important to this course and is not in the book. This material applies themacroscopic concepts of mechanical energy to microscopic collections of ~1023 mole
University of Florida - PHY - 1020
CA 2Not required. For advanced studentsF = ma = v Air friction effect 1 dx12=2ma = dv = - 1 v2dtLvdv = - dtLv2tdv = - dt v2 Lv001 1 = - tv v0L1v=v0v1+ 0 tLL=CAv0 dt1+xt00 dx = Lv0tLdt( L + t)v0( L + t)vx= ln[
University of Florida - PHY - 1020
4-21dvv2=gdtLdx=vdtCan solve with calculus with luck : can solve numerically for sure4-21asolutiondvv2=gdtLdy=v withdty(0)=0v(0)=04-224-22av1 +v 2x =vave t=t2v1 +v 2x 2 =x 2 +t2
University of Florida - PHY - 1020
Complex numbers & variableswant solutions to equations like x2+1=0x2=-12i = -1i= -1Complex variableIm(z)z = x+iyComplex conjugate of z(x,y)zz* = x-iyIm(z) = yRe(z) = x|z|yx-Re(z)z=|z|ei z*=|z|e-iei =cos()+ i sin()-yz*Complex z-pla
University of Florida - PHY - 1020
RELE rotEarth Moon System2= IEE = IE ( )TELM orb = IM orbM orb = mM R 2 (1 day2TM orb)27 daysRvery small (neglect)IE =2MER 2E5constantK E rot =Ltot=LE-rot+LM-orbit+LM-rotLtot = IE (112IE E 2 = IE ( )222TE22) + mM R 2 ()TE
University of Florida - PHY - 1020
Uniformly charged spheretot. charge = QQ1: what is the electric field for r>RRQ2: what is the electric field for r<RrrQ3: what is the electric potential V(r) for r>RNote V(r=)=0Q3: what is the electric potential V(r) for r<RNote V(r) must be con
Michigan State University - FW - 101
FW 101 Exam 1 Study Guide Fall, 2011This is just a study guide, you are responsible for all of the material covered in the lectures. Inaddition to using the study guide to inform you about specific topics you should know, use it toget a feel for the mo
Michigan State University - FW - 101
FW 101 Exam 1 Study Guide Fall, 2011This is just a study guide, you are responsible for all of the material covered in the lectures. Inaddition to using the study guide to inform you about specific topics you should know, use it toget a feel for the mo
USC - ARLT - 100
ProfessorSusanMcCabeSpring 201235242R /ARLT100HowtoReadaPoem:FromShakespearetoHipHopClassMeetingTimes:MW23:20Location:VKC154OfficeHours:W12:301:30;orbyappointment;mccabe@usc.eduCourseDescription:Thiscourseisdesignedtotrainstudentsintheclosereading
USC - CSCI - 101L
Sample questionsTrue/False: Indicate whether the statement is true or false._1.Assume all variables are properly declared. The output of the following C+ code is 1 2 3 4.n = 1;while (n < 5) cfw_cout < 'n' < " ";n+;_ 2.Assume all variables are p
USC - CSCI - 101L
C+ Programming:Basic Elements of C+Introduction Computer program: sequence of statementsdesigned to accomplish some task Programming: planning/creating a program Syntax: rules that specify which statements(instructions) are legal Programming langu
USC - ECON - 351
The Cost of ProductionChapter 7Chapter OutlineMeasuring Cost: Which Costs Matter?Cost in the Short RunCost in the Long RunOptimal choice of input combinationsMEASURING COST: WHICH COSTSMATTER?Economic Cost versus Accounting Costaccounting c os t
USC - ECON - 351
Econ 251xMarshall School of BusinessAkbulutSample Questions for Midterm 2(The midterm will have 35 questions, you have only 30 questions here.)1. A firm has a production process in which the inputs to production are perfectlysubstitutable in the lon
USC - ECON - 351
P roductionChapter 6Chapter OutlineThe Technology of ProductionProduction with One Variable Input (Labor)Production with Two Variable InputsReturns to ScaleTheory of the firmDe s c ribeshow a firm makes cost-minimizing productiondecisionshow th
USC - ECON - 351
UNIVERSITY OF SOUTHERN CALIFORNIAMarshall School of BusinessDepartment of Finance and Business EconomicsECON 251x: Microeconomics for BusinessSpring 2012Location: GFS 223Day & Time: MW 10:00-11:50amSection Number: 26064R_Professor: Rahan Akbulut
USC - ECON - 351
Individual and MarketDemandChapter 4Chapter OutlineIndividual DemandIncome and Substitution EffectsMarket DemandConsumer SurplusIndividual DemandEffect of Price ChangesA reduction in the price of food,with income and the price ofclothing fixed
USC - WRITING - 140
1AgarwalKeya G. AgarwalWrit 140 #64425Lauren WeindlingAssignment #127 January 2012The Price of Souls, not Sex: Stripping down to the truth about prostitution.A comedy that epitomizes female empowerment and deals with modern social issues, Sex and
USC - WRITING - 140
1AgarwalKeya G. AgarwalWrit 140 #64425Lauren WeindlingAssignment #215th February 2012Kiss, But Do Tell: Exploring the innocence of sinFour hundred years ago, a conversation about marriage consisting of the mere mention oflove was likely to have s
USC - WRITING - 140
1Agarwal,Keya G. AgarwalWrit 140 #64425Lauren WeindlingAssignment #38th March 2012Spare the Rod, Speak to the Child: Dissecting the Cruelty of Corporal Punishment, One Paddleat a Time.Matilda, a fantastical childrens movie about a young girl with
USC - WRITING - 140
Lauren WeindlingSection #64425Writing 140/PHIL 140Spring 2012Assignment Four: Stay up all night honking me hornDue Date: Friday April 6thPurpose:The goal of Assignment Four is to further your critical interpretation and writing skills as well asto
USC - ARTL - 100G
Keya AgarwalARLT Paris NoirHomework week 12Homework: Give a succinct 3 sentence summary of Csaire's argument. Identify a key passage in the text supportingyour summary. How/why does Csaire refer to Hitler in his argument? What types of writers does he
USC - ARTL - 100G
Keya AgarwalARLT 100 35327- Paris NoirTracing culture through Lyricism:A critical analysis of Leopold Senghors New York and Jean Toomers Song of the SunIn time, although the sun in setting on/ A song-lit race of slaves, it has not set;/Though late, O
USC - ARTL - 100G
Keya AgarwalARLT 100 35237Homework: Week EightHomework: How does McKay define vagabondage in the novel? How does it relate towork, labor, settling down? How does his artistic project, "a novel without a plot,"represent and engage with ideas and aesth
USC - ARTL - 100G
Keya AgarwalHomework week 9:ARLT Paris NoirHow would Nardal critique Princesse Tam Tam?Nardals work entitled Exotic Puppets gives the reader a glimpse into her mind,revealing her perspective on the prevalent issues of international black societies. O
USC - ARTL - 100G
Keya AgarwalARLT Paris NoirProf. HillHomework week 7:Homework: McKay's protagonists have heated debates and arguments throughout thenovel. Find three such scenes for analysis. What is the argument about? What are thedifferent sides to the debate? Wh
USC - ARTL - 100G
Keya AgarwalWeek 11 Homework:What is Bourgeois morality as defined by the writers of Legitime Defense? How do theycritique the concepts work, duty, value and even good?According to the writers of Legitime Defense, their positivism shown by accepting r
USC - ARTL - 100G
ARLT Week 10 HomeworkWhat is colonial Exoticism to Menil and Nardal? How does it affect culture generally andpoetry specifically?According to Menil, Collonial Exoticism is a type of perception of an individual who isalien to ones self. For this reason
USC - ARTL - 100G
Paper must include references from two articles not read in class. All papers must be doublespaced, in Times New Roman 12pt font, and properly cited following the standards ofacademic integrity. Students submit papers - both the draft and the final subm
USC - ARTL - 100G
Keya AgarwalARLT 100 35327- Paris NoirTracing culture through Lyricism:A critical analysis of Leopold Senghors New York and Jean Toomers Song of the SunIn time, although the sun in setting on/ A song-lit race of slaves, it has not set;/Though late, O
USC - ARTL - 100G
Keya AgarwalARLT Paris NoirHomework week 14Cahier d'un retour au pays natal:Homework: Csaire's Cahier can be divided into several sections. What are thesesections? How would you summarize each one and the overall trajectory of the poem?The first sec
USC - ARTL - 100G
Keya AgarwalARLT 100 35327- Paris NoirMusic Culture and Poetic ExpressionGiven the debates in cultural values, political strategies, and musical practices that mark theHarlem renaissances emergence, offer a close-reading analysis of one poems represen
USC - ARTL - 100G
Keya AgarwalARLT 100 35327- Paris NoirRhythmic Expression of Black Culture:An analysis of Jacques Roumains poem; When the Tom-Tom beats, as a critique ofcolonizationthe White that made you a mullato is this bit of foam cast up, like spit, upon thesh
USC - ARTL - 100G
Jaques Roumain HaitiEssay Two: Imperial Critique. Not all blacks responded to the French experience in the same way. Using either thenovel or one of the poems we've read since the last paper, How does the writer depict the perils and pitfalls of blacki
USC - BUAD 304 - 304
Keya Agarwal11/4/11BUAD 304 Leading Organizations (Discussion session: 14752)Professor Coombs and TolanAssignment #4 Google and P&G Swap Employees1. I do not think that an employee swap is advisable for all companies, becausecompanies and employees
USC - BUAD 304 - 304
Upon assessing the alternatives courses of action to deal with the suggested problems athand, advantages and disadvantages of each alternative come into play. These outcomesneed to be evaluated in order to select the best solution. The first proposition
USC - BUAD 304 - 304
Keya AgarwalBUAD 304 Leading Organizations (Discussion session: 14752)Professor Coombs and TolanAssignment #2 IBMs Multicultural and Multinational Teams1. Teamwork utilizes more time and on most occasions, more resources than individualwork does. Fur
USC - BUAD 304 - 304
The goal of your case analysis project is to analyze these problems, diagnose the cause(s)of the problem, come up with three solutions to the problem, and propose one of yourthree solutions as your final recommendation as a group.I. Clarify the problem
USC - BUAD 304 - 304
Observations or cases form the rows; common attributes or variables form thecolumnsCategorical Data Also called qualitative or nominal variables Identify group membershipNumerical Data Also called quantitative or continuous variables Describe nume