The Components of Vector B. The Components of Vector B. Vector Components. Component Method of Vector Addition. Vector Components
|
|
- Jasper Carpenter
- 5 years ago
- Views:
Transcription
1 Upcming eens in PY05 Due ASAP: PY05 prees n WebCT. Submiing i ges yu pin ward yur 5-pin Lecure grade. Please ake i seriusly, bu wha cuns is wheher r n yu submi i, n wheher yu ge hings righ r wrng. Due his Wed.0pm: he firs WebAssign assignmen. Read he -page descripin f WebAssign in he syllabus. Discussins sar his week. Labs sar his week. D he pre-lab assignmen, which is n WebCT, befre ging lab. The Cmpnens f Vecr B Hw much f B is in he -direcin? Hw much is in he y- direcin? Adaped frm Andrew Duffy s The Cmpnens f Vecr B B is -3 unis in he -direcin, while B y is + unis in he y-direcin. Wha is he ecr sum f B and B y? Vecr Cmpnens In general, he cmpnens f a ecr are fund using he gemery f he righ-angled riangle. A ecr pins dwn and he righ. Make he hypenuse f a righ-angled riangle, wih he her w sides parallel he crdinae aes. Use gemery find he magniude f each cmpnen Use he diagram ell yu he sign Vecr Cmpnens Here we use uni ecr nain, where a uni ecr such as ˆ (-ha) has a lengh f ne uni in he -direcin. csθ s, + csθ ˆ Cmpnen Mehd f Vecr Addiin R C sinθ y s, sinθ yˆ y B The enire ecr can be wrien u as: + + csθ ˆ sinθ yˆ y B + C R B y + C y R y
2 Kinemaics and Dynamics Kinemaics deals wih he cnceps ha are needed describe min. Min in One-Dimensin Dynamics deals wih he effec ha frces hae n min. Tgeher, kinemaics and dynamics frm he branch f physics knwn as Mechanics. Disance and Displacemen Eample Prblem Disance is a scalar represening he lengh f sme pah. If yu me 5 meers nrh, Δ + 5 meers nrh. Displacemen is a ecr represening a change in psiin. Is magniude is he sraigh-line disance beween he sar and end pins, while is direcin is he direcin f he sraigh line frm he sar pin he end pin. If yu sar a an iniial psiin and me a final psiin i f, yur displacemen Δ is defined as: Δ f i Nw g he her direcin, wih a displacemen f 3 m suh. Wha is he al disance raeled? Wha is yur ne displacemen? Adaped frm Andrew Duffy s Speed and Velciy Speed is a scalar represening hw fas an bjec is raeling. Velciy is a ecr represening hw fas he displacemen f an bjec is changing wih ime. Ofen ime we nly wan knw he aerage alues (aeraged er ime) f he speed r elciy. al disance aerage speed al ime ne displacemen Δ aerage elciy, r, al ime Δ Insananeus s. Aerage alues Bu smeimes we are ineresed in knwing he insananeus speed r insananeus elciy, i.e., he alues f he speed r elciy a a paricular insan. When driing, wha, in yur car, wuld yu use find yur insananeus speed? If yu drie frm Bsn New Yrk Ciy, wha, in yur car, wuld yu use find yur aerage speed fr he rip? When yu pass he sae rper n he Mass Pike, is he rper ineresed in yur aerage speed r yur insananeus speed?
3 Insananeus s. Aerage alues Smeimes we are ineresed in insananeus speed r insananeus elciy, he alues f he speed r elciy a a paricular insan. When driing, wha, in yur car, wuld yu use find yur insananeus speed? The speedmeer. If yu drie frm Bsn New Yrk Ciy, wha, in yur car, wuld yu use find yur aerage speed fr he rip? When yu pass he sae rper n he Mass Pike, is he rper ineresed in yur aerage speed r yur insananeus speed? Insananeus s. Aerage alues Smeimes we are ineresed in insananeus speed r insananeus elciy, he alues f he speed r elciy a a paricular insan. When driing, wha, in yur car, wuld yu use find yur insananeus speed? The speedmeer. If yu drie frm Bsn New Yrk Ciy, wha, in yur car, wuld yu use find yur aerage speed fr he rip? The dmeer and he clck. When yu pass he sae rper n he Mass Pike, is he rper ineresed in yur aerage speed r yur insananeus speed? Insananeus s. Aerage alues Smeimes we are ineresed in insananeus speed r insananeus elciy, he alues f he speed r elciy a a paricular insan. When driing, wha, in yur car, wuld yu use find yur insananeus speed? The speedmeer. If yu drie frm Bsn New Yrk Ciy, wha, in yur car, wuld yu use find yur aerage speed fr he rip? The dmeer and he clck. When yu pass he sae rper n he Mass Pike, is he rper ineresed in yur aerage speed r yur insananeus speed? Yur insananeus speed. Insananeus s. Aerage elciy ne displacemen Δ aerage elciy, r, al ime Δ lim insananeus elciy 0 Δ This is an inimidaing definiin. I s fen easier, and mre inuiie, find insananeus elciy frm a graph. Cmmn ways represen a min There are many ways represen min. A min diagram recrds he displacemen f an bjec a regular ime inerals. The insananeus elciy f a nedimensinal min (i.e., min alng a sraigh line nly) a ime is deermined by he slpe f he min diagram a ime. Cmmn ways represen a min Anher eample f a min diagram: When s. is n a sraigh line, is slpe a ime is deermined by he slpe f is angen line a ime. Since he slpe f he angen line is differen a differen imes, he elciy f he min represened by a nn-linear (i.e., cured) min diagram is arying wih ime. 3
4 Cmmn ways represen a min - I is als cmmn use a elciy diagram, which recrds he elciy f an bjec a regular ime inerals represen a min. Wrkshee, par - We can als simply describe he min in wrds.. Wha is he elciy a 0 s?. Wha is he elciy a 5 s? 3. Wha is he displacemen during he 0-secnd ineral frm 0 s? 4. Wha is he aerage elciy er he 50-secnd perid? 5. Wha is he aerage speed er he 50-secnd perid? Wrkshee, par Wrkshee, par. The insananeus elciy a 0 s is: Δ + 00 m ( + 50 m) ˆ + (.5 m/s ) ˆ 0 s. The insananeus elciy a 5 s is: zer 3. The displacemen fr ha ineral is: zer Wrkshee, par A Fllw-up eercise Draw he elciy diagram fr he preius prblem. (m/s) The aerage elciy fr he 50 s ineral is: Δ (0 m 50 m) ˆ (.0 m/s ) ˆ 50 s 5. The aerage speed fr he 50 s ineral is: al disance 50 m aerage speed 3.0 m/s al ime 50 s Analysis: 0 0s, (00 50) m/0s +.5 m/s 0 30s, 0 m/s 30 50s, (0 00)m/0s -5 m/s (s) Q. Can ne deduce he displacemen a ime frm he elciy diagram? A. Yes. I is he area under he - graph frm ime 0 up ime. 4
5 Cnsider anher min wih he frward min, bu he reurn min is changed as shwn belw. (m/s) +.5 X Min in he X las eample. -.5 X Min in his eample Aerage Speed (m) (s) Analysis: 0 0s, (00 50) m/0s +.5 m/s 0 30s, (0 00)m/0s -0 m/s (s) Nice ha he ne displacemen f he w mins are he same s he area under he w - graphs mus be he same. Aerage speed Tal disance raeled Tal elapsed ime 50.0 m m 50.0 m/s 5 m/s Aerage Velciy 00 (m) Aerage Velciy 00 (m) (s) (s) ne displacemen aerage elciy al ime -50 m Why can yu jus aerage he +.5 m/s and he -0.0 m/s, ge m/s?.67 m/s Reasn: The bjec spends differen amun f ime raeling a +.5 m/s han a -0.0 m/s The prper apprach is d a ime aerage, in which ne weighs he elciies accrding he ime he bjec spen a each elciy alue ha has been adped in he min. (+.5 m/s) 0 s + (-0.0 m/s) 0 s 5.0 m/s.67 m/s 3 Aerage elciy Fr he elciy diagram shwn belw, wha is aerage elciy f he bjec beween 0 and 5 s? Whiebard Fr he elciy alues lying beween 5 and 36 m/s, he bjec spends an equal amun f ime raeling a each elciy alue. Therefre, he aerage elciy is simply he mean alue f he iniial and final elciy (36 + 5)/ m/s 0.5 m/s. 5
6 Accelerain Accelerain is a ecr represening hw fas, and in wha direcin, an bjec's elciy is changing. Accelerain is he rae f change f elciy. Δ Aerage accelerain: a Δ In he limi ha he ime ineral appraches zer, he aerage accelerain equain gies he insananeus accelerain. If he accelerain is cnsan, he insananeus accelerain is equal he aerage accelerain. Accelerain Insananeus accelerain can be deermined frm a elciy diagram as he slpe he cure a any gien ime. Fr elciy diagrams shwing a sraigh line as abe, he slpe is he same a all imes. Therefre, i represens a min ha has cnsan accelerain. Adaped frm Andrew Duffy s Min under Cnsan Accelerain Min under Cnsan Accelerain 0 a + a The slpes in he abe w diagrams hae he same magniude bu ppsie signs. 0 a a When he sign f and a are he same, he bjec speeds up. When he sign f and a hae he ppsie sign, he bjec slws up. a a a + a N displacemen,, is inled. Min under Cnsan Accelerain Fie kinemaic ariables:. displacemen,. accelerain (cnsan), a 3. final elciy (a ime ), 4. iniial elciy, 5. elapsed ime, Min under Cnsan Accelerain + a ( + ) ( + a) + Aerage elciy + a N final elciy () a ime is inled.
7 Min under Cnsan Accelerain a a ( ) ( ) ( ) + + N elasped ime is inled. a a? Eample : Min f a speed ba + a ( 6.0m s)( 8.0 s) + (.0m s )( 8.0 s) + 0 m? Eample : Launching a Je Knwn parameers: 0m s a a +3m s ( 6 m s) ( 0m s) ( ) 3m s +6m + 6 m s
Kinematics Review Outline
Kinemaics Review Ouline 1.1.0 Vecrs and Scalars 1.1 One Dimensinal Kinemaics Vecrs have magniude and direcin lacemen; velciy; accelerain sign indicaes direcin + is nrh; eas; up; he righ - is suh; wes;
More informationLecture 4 ( ) Some points of vertical motion: Here we assumed t 0 =0 and the y axis to be vertical.
Sme pins f erical min: Here we assumed and he y axis be erical. ( ) y g g y y y y g dwnwards 9.8 m/s g Lecure 4 Accelerain The aerage accelerain is defined by he change f elciy wih ime: a ; In analgy,
More informationAP Physics 1 MC Practice Kinematics 1D
AP Physics 1 MC Pracice Kinemaics 1D Quesins 1 3 relae w bjecs ha sar a x = 0 a = 0 and mve in ne dimensin independenly f ne anher. Graphs, f he velciy f each bjec versus ime are shwn belw Objec A Objec
More informationPhysics Courseware Physics I Constant Acceleration
Physics Curseware Physics I Cnsan Accelerain Equains fr cnsan accelerain in dimensin x + a + a + ax + x Prblem.- In he 00-m race an ahlee acceleraes unifrmly frm res his p speed f 0m/s in he firs x5m as
More informationAnnouncements. Formulas Review. Exam format
Annuncemens 1. N hmewrk due mrrw! a. Wuld be an ecellen eening sud fr and/r ake he eam. Eam 1 sars da! a. Aailable in Tesing Cener frm Tues, Sep. 16 10:15 am, up Mnda, Sep, clsing ime i. If u pick up ur
More informationi-clicker Question lim Physics 123 Lecture 2 1 Dimensional Motion x 1 x 2 v is not constant in time v = v(t) acceleration lim Review:
Reiew: Physics 13 Lecure 1 Dimensinal Min Displacemen: Dx = x - x 1 (If Dx < 0, he displacemen ecr pins he lef.) Aerage elciy: (N he same as aerage speed) a slpe = a x x 1 1 Dx D x 1 x Crrecin: Calculus
More informationMotion Along a Straight Line
PH 1-3A Fall 010 Min Alng a Sraigh Line Lecure Chaper (Halliday/Resnick/Walker, Fundamenals f Physics 8 h ediin) Min alng a sraigh line Sudies he min f bdies Deals wih frce as he cause f changes in min
More information5.1 Angles and Their Measure
5. Angles and Their Measure Secin 5. Nes Page This secin will cver hw angles are drawn and als arc lengh and rains. We will use (hea) represen an angle s measuremen. In he figure belw i describes hw yu
More informationIntroduction. If there are no physical guides, the motion is said to be unconstrained. Example 2. - Airplane, rocket
Kinemaic f Paricle Chaper Inrducin Kinemaic: i he branch f dynamic which decribe he min f bdie wihu reference he frce ha eiher caue he min r are generaed a a reul f he min. Kinemaic i fen referred a he
More informationPhys 221 Fall Chapter 2. Motion in One Dimension. 2014, 2005 A. Dzyubenko Brooks/Cole
Phys 221 Fall 2014 Chaper 2 Moion in One Dimension 2014, 2005 A. Dzyubenko 2004 Brooks/Cole 1 Kinemaics Kinemaics, a par of classical mechanics: Describes moion in erms of space and ime Ignores he agen
More informationLecture 3: Resistive forces, and Energy
Lecure 3: Resisive frces, and Energy Las ie we fund he velciy f a prjecile ving wih air resisance: g g vx ( ) = vx, e vy ( ) = + v + e One re inegrain gives us he psiin as a funcin f ie: dx dy g g = vx,
More informationOne-Dimensional Kinematics
One-Dimensional Kinemaics One dimensional kinemaics refers o moion along a sraigh line. Een hough we lie in a 3-dimension world, moion can ofen be absraced o a single dimension. We can also describe moion
More informationPhysics Notes - Ch. 2 Motion in One Dimension
Physics Noes - Ch. Moion in One Dimension I. The naure o physical quaniies: scalars and ecors A. Scalar quaniy ha describes only magniude (how much), NOT including direcion; e. mass, emperaure, ime, olume,
More informationGround Rules. PC1221 Fundamentals of Physics I. Kinematics. Position. Lectures 3 and 4 Motion in One Dimension. A/Prof Tay Seng Chuan
Ground Rules PC11 Fundamenals of Physics I Lecures 3 and 4 Moion in One Dimension A/Prof Tay Seng Chuan 1 Swich off your handphone and pager Swich off your lapop compuer and keep i No alking while lecure
More informationPhysics 101: Lecture 03 Kinematics Today s lecture will cover Textbook Sections (and some Ch. 4)
Physics 101: Lecure 03 Kinemaics Today s lecure will coer Texbook Secions 3.1-3.3 (and some Ch. 4) Physics 101: Lecure 3, Pg 1 A Refresher: Deermine he force exered by he hand o suspend he 45 kg mass as
More informationKINEMATICS IN ONE DIMENSION
KINEMATICS IN ONE DIMENSION PREVIEW Kinemaics is he sudy of how hings move how far (disance and displacemen), how fas (speed and velociy), and how fas ha how fas changes (acceleraion). We say ha an objec
More information2.1: What is physics? Ch02: Motion along a straight line. 2.2: Motion. 2.3: Position, Displacement, Distance
Ch: Moion along a sraigh line Moion Posiion and Displacemen Average Velociy and Average Speed Insananeous Velociy and Speed Acceleraion Consan Acceleraion: A Special Case Anoher Look a Consan Acceleraion
More informationINSTANTANEOUS VELOCITY
INSTANTANEOUS VELOCITY I claim ha ha if acceleraion is consan, hen he elociy is a linear funcion of ime and he posiion a quadraic funcion of ime. We wan o inesigae hose claims, and a he same ime, work
More informationBrace-Gatarek-Musiela model
Chaper 34 Brace-Gaarek-Musiela mdel 34. Review f HJM under risk-neural IP where f ( T Frward rae a ime fr brrwing a ime T df ( T ( T ( T d + ( T dw ( ( T The ineres rae is r( f (. The bnd prices saisfy
More informationIf you need any help, please reference youtube and specifically AP Plus Physics (Dan Fullerton) online. Enjoy the Summer. Mr. Robayo RHS STEM/Physics
AP Physics C Calculus Base This is yur summer assignmen fr AP Physics C fr scieniss an engineers. Yur summer assignmen cnsiss f an eriew f ecrs an -D an -D kinemaics. Ne ha here will be calculus inle an
More informationPhysics for Scientists and Engineers. Chapter 2 Kinematics in One Dimension
Physics for Scieniss and Engineers Chaper Kinemaics in One Dimension Spring, 8 Ho Jung Paik Kinemaics Describes moion while ignoring he agens (forces) ha caused he moion For now, will consider moion in
More informationPHYSICS 220 Lecture 02 Motion, Forces, and Newton s Laws Textbook Sections
PHYSICS 220 Lecure 02 Moion, Forces, and Newon s Laws Texbook Secions 2.2-2.4 Lecure 2 Purdue Universiy, Physics 220 1 Overview Las Lecure Unis Scienific Noaion Significan Figures Moion Displacemen: Δx
More information21.9 Magnetic Materials
21.9 Magneic Maerials The inrinsic spin and rbial min f elecrns gives rise he magneic prperies f maerials è elecrn spin and rbis ac as iny curren lps. In ferrmagneic maerials grups f 10 16-10 19 neighbring
More information1. The graph below shows the variation with time t of the acceleration a of an object from t = 0 to t = T. a
Kinemaics Paper 1 1. The graph below shows he ariaion wih ime of he acceleraion a of an objec from = o = T. a T The shaded area under he graph represens change in A. displacemen. B. elociy. C. momenum.
More informationDisplacement ( x) x x x
Kinemaics Kinemaics is he branch of mechanics ha describes he moion of objecs wihou necessarily discussing wha causes he moion. 1-Dimensional Kinemaics (or 1- Dimensional moion) refers o moion in a sraigh
More informationLecture 2-1 Kinematics in One Dimension Displacement, Velocity and Acceleration Everything in the world is moving. Nothing stays still.
Lecure - Kinemaics in One Dimension Displacemen, Velociy and Acceleraion Everyhing in he world is moving. Nohing says sill. Moion occurs a all scales of he universe, saring from he moion of elecrons in
More information11. HAFAT İş-Enerji Power of a force: Power in the ability of a force to do work
MÜHENDİSLİK MEKNİĞİ. HFT İş-Eneji Pwe f a fce: Pwe in he abiliy f a fce d wk F: The fce applied n paicle Q P = F v = Fv cs( θ ) F Q v θ Pah f Q v: The velciy f Q ÖRNEK: İŞ-ENERJİ ω µ k v Calculae he pwe
More informationCourse II. Lesson 7 Applications to Physics. 7A Velocity and Acceleration of a Particle
Course II Lesson 7 Applicaions o Physics 7A Velociy and Acceleraion of a Paricle Moion in a Sraigh Line : Velociy O Aerage elociy Moion in he -ais + Δ + Δ 0 0 Δ Δ Insananeous elociy d d Δ Δ Δ 0 lim [ m/s
More informationPHYSICS 149: Lecture 9
PHYSICS 149: Lecure 9 Chaper 3 3.2 Velociy and Acceleraion 3.3 Newon s Second Law of Moion 3.4 Applying Newon s Second Law 3.5 Relaive Velociy Lecure 9 Purdue Universiy, Physics 149 1 Velociy (m/s) The
More informationCHAPTER 2 Describing Motion: Kinematics in One Dimension
CHAPTER Decribing Min: Kinemaic in One Dimenin hp://www.phyicclarm.cm/cla/dkin/dkintoc.hml Reference Frame and Diplacemen Average Velciy Inananeu Velciy Accelerain Min a Cnan Accelerain Slving Prblem Falling
More informationChapter 12: Velocity, acceleration, and forces
To Feel a Force Chaper Spring, Chaper : A. Saes of moion For moion on or near he surface of he earh, i is naural o measure moion wih respec o objecs fixed o he earh. The 4 hr. roaion of he earh has a measurable
More information10.7 Temperature-dependent Viscoelastic Materials
Secin.7.7 Temperaure-dependen Viscelasic Maerials Many maerials, fr example plymeric maerials, have a respnse which is srngly emperaure-dependen. Temperaure effecs can be incrpraed in he hery discussed
More informationPhysics 111. Exam #1. September 28, 2018
Physics xam # Sepember 8, 08 ame Please read and fllw hese insrucins carefully: Read all prblems carefully befre aemping slve hem. Yur wrk mus be legible, and he rganizain clear. Yu mus shw all wrk, including
More informationWelcome Back to Physics 215!
Welcome Back o Physics 215! (General Physics I) Thurs. Jan 19 h, 2017 Lecure01-2 1 Las ime: Syllabus Unis and dimensional analysis Today: Displacemen, velociy, acceleraion graphs Nex ime: More acceleraion
More informationKinematics in two dimensions
Lecure 5 Phsics I 9.18.13 Kinemaics in wo dimensions Course websie: hp://facul.uml.edu/andri_danlo/teaching/phsicsi Lecure Capure: hp://echo36.uml.edu/danlo13/phsics1fall.hml 95.141, Fall 13, Lecure 5
More informationUnit 1 Test Review Physics Basics, Movement, and Vectors Chapters 1-3
A.P. Physics B Uni 1 Tes Reiew Physics Basics, Moemen, and Vecors Chapers 1-3 * In sudying for your es, make sure o sudy his reiew shee along wih your quizzes and homework assignmens. Muliple Choice Reiew:
More informationIB Physics Kinematics Worksheet
IB Physics Kinemaics Workshee Wrie full soluions and noes for muliple choice answers. Do no use a calculaor for muliple choice answers. 1. Which of he following is a correc definiion of average acceleraion?
More informationQ2.4 Average velocity equals instantaneous velocity when the speed is constant and motion is in a straight line.
CHAPTER MOTION ALONG A STRAIGHT LINE Discussion Quesions Q. The speedomeer measures he magniude of he insananeous eloci, he speed. I does no measure eloci because i does no measure direcion. Q. Graph (d).
More informationv. The same amount of work was done on the
CHATER 6: r and Energ Answers Quesins. Sme pes f phsical labr, paricularl if i inles lifing bjecs, such as sheling dir r carring shingles up a rf, are wr in he phsics sense f he wrd. Or, pushing a lawn
More informationKinematics of Wheeled Robots
1 Kinemaics of Wheeled Robos hps://www.ouube.com/wach?=gis41ujlbu 2 Wheeled Mobile Robos robo can hae one or more wheels ha can proide seering direcional conrol power eer a force agains he ground an ideal
More informationLecture 6: Phase Space and Damped Oscillations
Lecture 6: Phase Space and Damped Oscillatins Oscillatins in Multiple Dimensins The preius discussin was fine fr scillatin in a single dimensin In general, thugh, we want t deal with the situatin where:
More informationKinematics Vocabulary. Kinematics and One Dimensional Motion. Position. Coordinate System in One Dimension. Kinema means movement 8.
Kinemaics Vocabulary Kinemaics and One Dimensional Moion 8.1 WD1 Kinema means movemen Mahemaical descripion of moion Posiion Time Inerval Displacemen Velociy; absolue value: speed Acceleraion Averages
More informationMain Ideas in Class Today
Main Ideas in Class Toda Inroducion o Falling Appl Consan a Equaions Graphing Free Fall Sole Free Fall Problems Pracice:.45,.47,.53,.59,.61,.63,.69, Muliple Choice.1 Freel Falling Objecs Refers o objecs
More informationPHYSICS 151 Notes for Online Lecture #4
PHYSICS 5 Noe for Online Lecure #4 Acceleraion The ga pedal in a car i alo called an acceleraor becaue preing i allow you o change your elociy. Acceleraion i how fa he elociy change. So if you ar fro re
More informationEquations of motion for constant acceleration
Lecure 3 Chaper 2 Physics I 01.29.2014 Equaions of moion for consan acceleraion Course websie: hp://faculy.uml.edu/andriy_danylo/teaching/physicsi Lecure Capure: hp://echo360.uml.edu/danylo2013/physics1spring.hml
More informations in boxe wers ans Put
Pu answers in boxes Main Ideas in Class Toda Inroducion o Falling Appl Old Equaions Graphing Free Fall Sole Free Fall Problems Pracice:.45,.47,.53,.59,.61,.63,.69, Muliple Choice.1 Freel Falling Objecs
More informationMASSACHUSETTS INSTITUTE OF TECHNOLOGY 6.265/15.070J Fall 2013 Lecture 15 10/30/2013. Ito integral for simple processes
MASSACHUSETTS INSTITUTE OF TECHNOLOGY 6.65/15.7J Fall 13 Lecure 15 1/3/13 I inegral fr simple prcesses Cnen. 1. Simple prcesses. I ismery. Firs 3 seps in cnsrucing I inegral fr general prcesses 1 I inegral
More informationLecture II Simple One-Dimensional Vibrating Systems
UIUC Physics 406 Acusical Physics f Music Lecure II Simple One-Dimensinal Vibraing Sysems One mehd f prducing a sund relies n a physical bjec (e.g. varius ypes f musical insrumens sringed and wind insrumens
More informationx i v x t a dx dt t x
Physics 3A: Basic Physics I Shoup - Miderm Useful Equaions A y A sin A A A y an A y A A = A i + A y j + A z k A * B = A B cos(θ) A B = A B sin(θ) A * B = A B + A y B y + A z B z A B = (A y B z A z B y
More informationCHAPTER 2 Describing Motion: Kinematics in One Dimension
CHAPTER Decribing Min: Kinemaic in One Dimenin hp://www.phyicclarm.cm/cla/dkin/dkintoc.hml Reference Frame and Diplacemen Average Velciy Inananeu Velciy Accelerain Min a Cnan Accelerain Slving Prblem Falling
More informationChapter 3 Kinematics in Two Dimensions
Chaper 3 KINEMATICS IN TWO DIMENSIONS PREVIEW Two-dimensional moion includes objecs which are moing in wo direcions a he same ime, such as a projecile, which has boh horizonal and erical moion. These wo
More informationPhysics 180A Fall 2008 Test points. Provide the best answer to the following questions and problems. Watch your sig figs.
Physics 180A Fall 2008 Tes 1-120 poins Name Provide he bes answer o he following quesions and problems. Wach your sig figs. 1) The number of meaningful digis in a number is called he number of. When numbers
More informationELEG 205 Fall Lecture #10. Mark Mirotznik, Ph.D. Professor The University of Delaware Tel: (302)
EEG 05 Fall 07 ecure #0 Mark Mirznik, Ph.D. Prfessr The Universiy f Delaware Tel: (3083-4 Email: mirzni@ece.udel.edu haper 7: apacirs and Inducrs The apacir Symbl Wha hey really lk like The apacir Wha
More informationLab #2: Kinematics in 1-Dimension
Reading Assignmen: Chaper 2, Secions 2-1 hrough 2-8 Lab #2: Kinemaics in 1-Dimension Inroducion: The sudy of moion is broken ino wo main areas of sudy kinemaics and dynamics. Kinemaics is he descripion
More informationSPH3U1 Lesson 06 Kinematics
PROJECTILE MOTION LEARNING GOALS Students will: Describe the mtin f an bject thrwn at arbitrary angles thrugh the air. Describe the hrizntal and vertical mtins f a prjectile. Slve prjectile mtin prblems.
More informationTopic 1: Linear motion and forces
TOPIC 1 Topic 1: Linear moion and forces 1.1 Moion under consan acceleraion Science undersanding 1. Linear moion wih consan elociy is described in erms of relaionships beween measureable scalar and ecor
More informationRevised 2/07. Projectile Motion
LPC Phsics Reised /07 Prjectile Mtin Prjectile Mtin Purpse: T measure the dependence f the range f a prjectile n initial elcit height and firing angle. Als, t erif predictins made the b equatins gerning
More informationGAMS Handout 2. Utah State University. Ethan Yang
Uah ae Universiy DigialCmmns@UU All ECAIC Maerials ECAIC Repsiry 2017 GAM Handu 2 Ehan Yang yey217@lehigh.edu Fllw his and addiinal wrs a: hps://digialcmmns.usu.edu/ecsaic_all Par f he Civil Engineering
More information!!"#"$%&#'()!"#&'(*%)+,&',-)./0)1-*23)
"#"$%&#'()"#&'(*%)+,&',-)./)1-*) #$%&'()*+,&',-.%,/)*+,-&1*#$)()5*6$+$%*,7&*-'-&1*(,-&*6&,7.$%$+*&%'(*8$&',-,%'-&1*(,-&*6&,79*(&,%: ;..,*&1$&$.$%&'()*1$$.,'&',-9*(&,%)?%*,('&5
More informationThe average rate of change between two points on a function is d t
SM Dae: Secion: Objecive: The average rae of change beween wo poins on a funcion is d. For example, if he funcion ( ) represens he disance in miles ha a car has raveled afer hours, hen finding he slope
More informationPage 1 o 13 1. The brighes sar in he nigh sky is α Canis Majoris, also known as Sirius. I lies 8.8 ligh-years away. Express his disance in meers. ( ligh-year is he disance coered by ligh in one year. Ligh
More informationNEWTON S SECOND LAW OF MOTION
Course and Secion Dae Names NEWTON S SECOND LAW OF MOTION The acceleraion of an objec is defined as he rae of change of elociy. If he elociy changes by an amoun in a ime, hen he aerage acceleraion during
More information5.1 - Logarithms and Their Properties
Chaper 5 Logarihmic Funcions 5.1 - Logarihms and Their Properies Suppose ha a populaion grows according o he formula P 10, where P is he colony size a ime, in hours. When will he populaion be 2500? We
More informationOf all of the intellectual hurdles which the human mind has confronted and has overcome in the last fifteen hundred years, the one which seems to me
Of all of he inellecual hurdles which he human mind has confroned and has overcome in he las fifeen hundred years, he one which seems o me o have been he mos amazing in characer and he mos supendous in
More informationSpeed and Velocity. Overview. Velocity & Speed. Speed & Velocity. Instantaneous Velocity. Instantaneous and Average
Overview Kinemaics: Descripion of Moion Posiion and displacemen velociy»insananeous acceleraion»insananeous Speed Velociy Speed and Velociy Speed & Velociy Velociy & Speed A physics eacher walks 4 meers
More informationPhysics 3A: Basic Physics I Shoup Sample Midterm. Useful Equations. x f. x i v x. a x. x i. v xi v xf. 2a x f x i. y f. a r.
Physics 3A: Basic Physics I Shoup Sample Miderm Useful Equaions A y Asin A A x A y an A y A x A = A x i + A y j + A z k A * B = A B cos(θ) A x B = A B sin(θ) A * B = A x B x + A y B y + A z B z A x B =
More informationLAB # 2 - Equilibrium (static)
AB # - Equilibrium (saic) Inroducion Isaac Newon's conribuion o physics was o recognize ha despie he seeming compleiy of he Unierse, he moion of is pars is guided by surprisingly simple aws. Newon's inspiraion
More informationAP Calculus BC Chapter 10 Part 1 AP Exam Problems
AP Calculus BC Chaper Par AP Eam Problems All problems are NO CALCULATOR unless oherwise indicaed Parameric Curves and Derivaives In he y plane, he graph of he parameric equaions = 5 + and y= for, is a
More informationa 10.0 (m/s 2 ) 5.0 Name: Date: 1. The graph below describes the motion of a fly that starts out going right V(m/s)
Name: Dae: Kinemaics Review (Honors. Physics) Complee he following on a separae shee of paper o be urned in on he day of he es. ALL WORK MUST BE SHOWN TO RECEIVE CREDIT. 1. The graph below describes he
More informationPhysics 1200 Mechanics, Kinematics, Fluids, Waves
Physics 100 Mechanics, Kinematics, Fluids, Waes Lecturer: Tm Humanic Cntact inf: Office: Physics Research Building, Rm. 144 Email: humanic@mps.hi-state.edu Phne: 614 47 8950 Office hurs: Tuesday 3:00 pm,
More informationWEEK-3 Recitation PHYS 131. of the projectile s velocity remains constant throughout the motion, since the acceleration a x
WEEK-3 Reciaion PHYS 131 Ch. 3: FOC 1, 3, 4, 6, 14. Problems 9, 37, 41 & 71 and Ch. 4: FOC 1, 3, 5, 8. Problems 3, 5 & 16. Feb 8, 018 Ch. 3: FOC 1, 3, 4, 6, 14. 1. (a) The horizonal componen of he projecile
More informationMath 105: Review for Exam I - Solutions
1. Let f(x) = 3 + x + 5. Math 105: Review fr Exam I - Slutins (a) What is the natural dmain f f? [ 5, ), which means all reals greater than r equal t 5 (b) What is the range f f? [3, ), which means all
More informationChapter 2. Motion along a straight line
Chaper Moion along a sraigh line Kinemaics & Dynamics Kinemaics: Descripion of Moion wihou regard o is cause. Dynamics: Sudy of principles ha relae moion o is cause. Basic physical ariables in kinemaics
More informationFlipping Physics Lecture Notes: Simple Harmonic Motion Introduction via a Horizontal Mass-Spring System
Flipping Physics Lecture Ntes: Simple Harmnic Mtin Intrductin via a Hrizntal Mass-Spring System A Hrizntal Mass-Spring System is where a mass is attached t a spring, riented hrizntally, and then placed
More informationMechanics Acceleration The Kinematics Equations
Mechanics Acceleraion The Kinemaics Equaions Lana Sheridan De Anza College Sep 27, 2018 Las ime kinemaic quaniies graphs of kinemaic quaniies Overview acceleraion he kinemaics equaions (consan acceleraion)
More informationBrock University Physics 1P21/1P91 Fall 2013 Dr. D Agostino. Solutions for Tutorial 3: Chapter 2, Motion in One Dimension
Brock Uniersiy Physics 1P21/1P91 Fall 2013 Dr. D Agosino Soluions for Tuorial 3: Chaper 2, Moion in One Dimension The goals of his uorial are: undersand posiion-ime graphs, elociy-ime graphs, and heir
More informationDifferential Geometry: Numerical Integration and Surface Flow
Differenial Geomery: Numerical Inegraion and Surface Flow [Implici Fairing of Irregular Meshes using Diffusion and Curaure Flow. Desbrun e al., 1999] Energy Minimizaion Recall: We hae been considering
More informationFlipping Physics Lecture Notes: Simple Harmonic Motion Introduction via a Horizontal Mass-Spring System
Flipping Physics Lecture Ntes: Simple Harmnic Mtin Intrductin via a Hrizntal Mass-Spring System A Hrizntal Mass-Spring System is where a mass is attached t a spring, riented hrizntally, and then placed
More informationSome Basic Information about M-S-D Systems
Some Basic Informaion abou M-S-D Sysems 1 Inroducion We wan o give some summary of he facs concerning unforced (homogeneous) and forced (non-homogeneous) models for linear oscillaors governed by second-order,
More information6.003 Homework 1. Problems. Due at the beginning of recitation on Wednesday, February 10, 2010.
6.003 Homework Due a he beginning of reciaion on Wednesday, February 0, 200. Problems. Independen and Dependen Variables Assume ha he heigh of a waer wave is given by g(x v) where x is disance, v is velociy,
More informationtotal distance cov ered time int erval v = average speed (m/s)
Physics Suy Noes Lesson 4 Linear Moion 1 Change an Moion a. A propery common o eeryhing in he unierse is change. b. Change is so imporan ha he funamenal concep of ime woul be meaningless wihou i. c. Since
More informationChapter 2: One-Dimensional Kinematics
Chaper : One-Dimensional Kinemaics Answers o Een-Numbered Concepual Quesions. An odomeer measures he disance raeled by a car. You can ell his by he fac ha an odomeer has a nonzero reading afer a round
More informationBest test practice: Take the past test on the class website
Bes es pracice: Take he pas es on he class websie hp://communiy.wvu.edu/~miholcomb/phys11.hml I have posed he key o he WebAssign pracice es. Newon Previous Tes is Online. Forma will be idenical. You migh
More informationUniversity Physics with Modern Physics 14th Edition Young TEST BANK
Universi Phsics wih Modern Phsics 14h Ediion Young SOLUTIONS MANUAL Full clear download (no formaing errors) a: hps://esbankreal.com/download/universi-phsics-modern-phsics- 14h-ediion-oung-soluions-manual-/
More informationPhysics 20 Lesson 5 Graphical Analysis Acceleration
Physics 2 Lesson 5 Graphical Analysis Acceleraion I. Insananeous Velociy From our previous work wih consan speed and consan velociy, we know ha he slope of a posiion-ime graph is equal o he velociy of
More informationPHY305F Electronics Laboratory I. Section 2. AC Circuit Basics: Passive and Linear Components and Circuits. Basic Concepts
PHY305F Elecrnics abrary I Secin ircui Basics: Passie and inear mpnens and ircuis Basic nceps lernaing curren () circui analysis deals wih (sinusidally) ime-arying curren and lage signals whse ime aerage
More informationTwo Dimensional Dynamics
Physics 11: Lecure 6 Two Dimensional Dynamics Today s lecure will coer Chaper 4 Exam I Physics 11: Lecure 6, Pg 1 Brie Reiew Thus Far Newon s Laws o moion: SF=ma Kinemaics: x = x + + ½ a Dynamics Today
More informationVisco-elastic Layers
Visc-elasic Layers Visc-elasic Sluins Sluins are bained by elasic viscelasic crrespndence principle by applying laplace ransfrm remve he ime variable Tw mehds f characerising viscelasic maerials: Mechanical
More informationNelson Primary School Written Calculation Policy
Addiin Fundain Y1 Y2 Children will engage in a wide variey f sngs, rhymes, games and aciviies. They will begin relae addiin cmbining w grups f bjecs. They will find ne mre han a given number. Cninue develp
More informationToday: Graphing. Note: I hope this joke will be funnier (or at least make you roll your eyes and say ugh ) after class. v (miles per hour ) Time
+v Today: Graphing v (miles per hour ) 9 8 7 6 5 4 - - Time Noe: I hope his joke will be funnier (or a leas make you roll your eyes and say ugh ) afer class. Do yourself a favor! Prof Sarah s fail-safe
More informationReview Equations. Announcements 9/8/09. Table Tennis
Announcemens 9/8/09 1. Course homepage ia: phsics.bu.edu Class web pages Phsics 105 (Colon J). (Class-wide email sen) Iclicker problem from las ime scores didn ge recorded. Clicker quizzes from lecures
More information3.6 Derivatives as Rates of Change
3.6 Derivaives as Raes of Change Problem 1 John is walking along a sraigh pah. His posiion a he ime >0 is given by s = f(). He sars a =0from his house (f(0) = 0) and he graph of f is given below. (a) Describe
More informationMotion along a Straight Line
chaper 2 Moion along a Sraigh Line verage speed and average velociy (Secion 2.2) 1. Velociy versus speed Cone in he ebook: fer Eample 2. Insananeous velociy and insananeous acceleraion (Secions 2.3, 2.4)
More informationTwo Dimensional Dynamics
Physics 11: Lecure 6 Two Dimensional Dynamics Today s lecure will coer Chaper 4 Saring Wed Sep 15, W-F oice hours will be in 3 Loomis. Exam I M oice hours will coninue in 36 Loomis Physics 11: Lecure 6,
More informationTesting What You Know Now
Tesing Wha You Know Now To bes each you, I need o know wha you know now Today we ake a well-esablished quiz ha is designed o ell me his To encourage you o ake he survey seriously, i will coun as a clicker
More informationModule 4. Analysis of Statically Indeterminate Structures by the Direct Stiffness Method. Version 2 CE IIT, Kharagpur
Mdle Analysis f Saically Indeerminae Srcres by he Direc Siffness Mehd Versin CE IIT, Kharagr Lessn The Direc Siffness Mehd: Temerare Changes and Fabricain Errrs in Trss Analysis Versin CE IIT, Kharagr
More informationPRINCE SULTAN UNIVERSITY Department of Mathematical Sciences Final Examination Second Semester (072) STAT 271.
PRINCE SULTAN UNIVERSITY Deparmen f Mahemaical Sciences Final Examinain Secnd Semeser 007 008 (07) STAT 7 Suden Name Suden Number Secin Number Teacher Name Aendance Number Time allwed is ½ hurs. Wrie dwn
More informationA New Approach for Einstein s Theory of Relativity in the View of Absolute Theory
A New Apprach fr Einsein s Thery f Relaiiy in he View f Abslue Thery E i z N A K A Z A * Absrac This paper inrduces a new dimensin in discussing Einsein s hery f relaiiy frm he iewpin f abslue hery. The
More information3 ) = 10(1-3t)e -3t A
haper 6, Sluin. d i ( e 6 e ) 0( - )e - A p i 0(-)e - e - 0( - )e -6 W haper 6, Sluin. w w (40)(80 (40)(0) ) ( ) w w w 0 0 80 60 kw haper 6, Sluin. i d 80 60 40x0 480 ma haper 6, Sluin 4. i (0) 6sin 4-0.7
More information