PHYSICS LAB Experiment 5 Fall 2004 FRICTION
|
|
- Clinton Washington
- 6 years ago
- Views:
Transcription
1 FRICTION In thi experiment we will meaure the effect of friction on the motion of a body in contact with a particular urface. When a body lide or roll over another, it motion i oppoed by the force of friction between the urface of the two bodie. If a body i at ret on another body, there exit tatic friction between the two bodie. A certain amount of force i required to overcome the tatic friction and et the body in motion. Friction depend on the propertie of the urface of the bodie in contact, pecifically the urface roughne of the bodie. It alo depend on how tightly the bodie are preed againt one another. Ultimately, friction depend on electromagnetic interaction at the atomic or molecular level. THE THEORY Conider a bloc of ma m, reting on a flat urface (ee Fig. 1). To et the bloc in motion we apply a force F. Until F i large enough to overcome friction, the frictional force f i equal and oppoite to F and no motion tae place. In thi experiment you will tet the following empirical rule that applie to uch a ytem: f = ìn, where the proportionality contant i the coefficient of friction ì. We uually ditinguih between tatic friction, when an object i at ret, and inetic friction, when an object i already moving. Here, you will motly (but not excluively) tudy tatic friction and meaure the coefficient of tatic friction ì (uing apparatu imilar to figure 1. and 2.). In fact, for an inclined plane, uch a in Fig. 2, it can be hown that the coefficient of tatic friction, ì, i related to the mallet angle è for which the bloc begin to lide down the plane by: ì = tanè Figure 1 Figure 2. 1
2 DATA COLLECTION I. Static Friction with Horizontal Plane In the firt part of thi experi ment, you will deter mine the coefficient of tatic friction between aluminum and Teflon urface by tudying the relationhip between the normal force, N, and the minimal Figure 3 amount of force required to overcome the frictional force and et the bloc in motion. The etup i illutrated in Fig. 3 and Meaure the ma of the aluminum bloc, m b, on the balance pan cale. 2. Set the wooden board (with the Teflon heet attached) to the horizontal poition, and faten the pulley near the end of the board. Attach the aluminum bloc and the force gauge at the end of the tring. Set the bloc down on it larget ide in the middle of the Teflon heet and connect the force gauge to the motor. 3. Place the tring over the pulley wheel and mae ure that the pulley wheel i adjuted o that the tring between the aluminum bloc and the pulley wheel i level (otherwie, you will be exerting an extra normal force on the aluminum bloc when the force gauge pull it). 4. Mae ure that the tring connecting the force gauge to the motor and to the aluminum bloc are aligned (put ome tenion on the tring to accomplih thi). After the alignment, reduce the tenion of the tring by rotating the motor haft a bit. Reet the force gauge to zero by puhing the tare button on the ide of the gauge. 5. Mae ure that the force gauge i attached to the computer and that you are ready to 2
3 tae data: i) The power trip controlling the computer hould be on ii) Log on a uer (ee uername and paword indicated on the monitor face). iii) Double clic on Data Studio (Note that if the interface box ha been turned off, you will have to turn it on and then reboot the computer). iv) Open Activity Go up to C: Student temp p183 friction_meaure v) To get an empty run: Experiment Delete All Data Run vi) File Save Activity A 183E5your initial 6. When you are ready to tae data (mae ure the ample rate i 500Hz) clic on Start 7. Turn on the motor. You hould ee a plot of the force exerted on the bloc by the force gauge a a function of time. Poitive force may be in the negative y direction on the plot. See Fig The force which jut overcome the tatic friction force, f, i F. The bloc then begin to move and when it i moving with a contant velocity, the force neceary to overcome the inetic friction force, f, i F. 9. The force will not necearily be contant after the bloc ha begun to move with a contant Figure 5 velocity (ee Fig. 5). Can you thin of an explanation for thi? 10. Clic on } Stop to top the data taing. 11. Record the value of F and F in Table 1 of the data heet. Repeat the meaurement 2 more time and record the value of F and F in Table 1 of the data heet. 12. Save the file by clicing on File Save Activity. 13. Mae ure the data window i the active window (a your intructor if you are not 3
4 ure). Then print out a copy of the data window (File Print) 14. Repeat tep #6 through #11 for m w=200, 400, and 800 gram added to the aluminum bloc. Mae ure to add thee weight in equal increment to the two crew, i.e. for m w=200 gram, add 100 gram to each of the bra crew poition on top of the aluminum bloc. Try to et the aluminum bloc down at approximately the ame poition on the Teflon heet each time (don t lide the aluminum bloc on the Teflon urface, et it down carefully in place). 15. If the graph on the computer creen become too crowded, remove the previou run from the diplay 16 Prepare one graph of the tatic frictional force, f, a a function of the normal force, N, uing the averaged data from Table 1 and another graph of the inetic frictional force, f, a a function of the normal force, N. 17. Fit traight line through the data point on each of the graph and extract the tatic and inetic coefficient of friction uing the lope of the line. II. Friction Dependence on Material 1. Remove all mae from the aluminum bloc. 2. Remove the Teflon heet and inert the rubber urface onto the wood. 3. Repeat tep #6 through #11 of Part I above (3 trial total), and record F and F in Table From the value of F and F and the value of the Normal force, N, calculate the value of ì and ì, the tatic and inetic coefficient of friction, and record them in Table 2. 4
5 III. Static Friction with Inclined Plane In thi part of the experiment, you will determine the coefficient of tatic friction, ì, between aluminum and Teflon urface by uing an inclined plane. The etup i hown in Fig Put the Teflon urface bac on the wooden board. 2. Remove the pulley and move the wooden board near the cran ytem. Attach the rope and hoo near the end of the board (where the pulley wa attached). 3. Remove the tring from the bloc. Figure 6 4. Set the aluminum bloc down in the middle of the Teflon heet a before (don t lide the aluminum bloc on the Teflon urface, et it down carefully in place). 5. Turn the cran to raie the board. Raie the board a moothly a poible (jarring the board may et the bloc in motion prematurely) and record, in Table 3., the mallet angle è for which the bloc tart liding. The apparatu include a protractor o o mared in degree from 0 to 45. Tae a total of 4 meaurement of thi quantity and record them in Table 3. BEWARE: Hold the cran handle while lowering the board. The handle may hurt you if you let it go free!! 6. Repeat tep #4 and #5 for m w = 200, 400, and 800 gram added to the bloc (½ at each crew poition a in the firt part of the experiment). 7. Compute the average angle and value of ì for each value of m w. Then compute the average value of ì value from your five different m w meaurement of the coefficient of friction, ì. 5
6 IV. Friction Dependence on Surface Area In the lat part of thi experiment, you will ue the inclined plane, a in Part III. to invetigate the friction dependence on urface area. 1. Remove all mae from the aluminum bloc. 2. Set the bloc down on it ide in the middle of the Teflon heet. 3. Record the mallet angle è for which the bloc tart liding in Table 4. Repeat thi until you have a total of 4 meaurement, which you record in Table Compute the average coefficient of friction. 6
7 PHYSICS LAB Expt 5 Worheet Fall 2004 FRICTION STUDENT NAME DATE PARTNER S NAME LAB SECT Ma of the aluminum bloc g Table 1. Teflon Surface Trial m w: gram 400 gram 800 gram N = (m +m )g b w 1 f = F 2 3 Avg. f = F Graph: 1) f a a function of normal force N. Slope of bet line going through (0,0) yield =... 2) f a a function of normal force N. Slope of bet line going through (0,0) yield =... 1
8 PHYSICS LAB Expt 5 Worheet Fall 2004 Table 2. Rubber Surface F F Trial 1 Trial 2 Bloc on rubber Trial 3 Average Calculated value = = Table 3. Non Horizontal Teflon Surface Beware that in the table your angle are given in degree, not in radian! Mae ure your calculator i et properly. Angle, (degree) mw gram 400 gram 800 gram average = tan Average = Table 4: Angle (degree) = tan Bloc on it ide (Dependence on urface area) trial 1 trial 2 trial 3 trial 4 Average 2
9 PHYSICS LAB Expt 5 Worheet Fall 2004 QUESTIONS 1. From you graph of frictional force (F) v. N, what i the relationhip between frictional force and load (normal force). 2. Compare the value of obtained for teflon with the horizontal and inclined plane. Expre the difference in term of a percent difference. Do thee value agree within 20%? If not, what could caue the difference? 3. What do your meaurement from part III ay about the effect of load on the coefficient of friction? 3
10 PHYSICS LAB Expt 5 Worheet Fall What do your meaurement from part IV ay about the effect of urface area? 5. From your data, what can you ay about the difference between the coefficient of tatic and inetic friction? 6. Are there difference in the value of the coefficient of friction for different material? If o, what could the caue() of thee difference be? 7. If thi experiment i being ubmitted a a lab report, derive the relation = tan. At the end of the lab, turn in your worheet with the data and anwered quetion a well a your graph. 4
Prof. Dr. Ibraheem Nasser Examples_6 October 13, Review (Chapter 6)
Prof. Dr. Ibraheem Naer Example_6 October 13, 017 Review (Chapter 6) cceleration of a loc againt Friction (1) cceleration of a bloc on horizontal urface When body i moving under application of force P,
More informationNewton s Laws & Inclined Planes
GP: ewton Law & Inclined Plane Phyic Mcutt Date: Period: ewton Law & Inclined Plane The ormal orce, Static and Kinetic rictional orce The normal orce i the perpendicular orce that a urace exert on an object.
More informationPHYSICS 211 MIDTERM II 12 May 2004
PHYSIS IDTER II ay 004 Exa i cloed boo, cloed note. Ue only your forula heet. Write all wor and anwer in exa boolet. The bac of page will not be graded unle you o requet on the front of the page. Show
More informationIn-Class Problem 5: Newton s Laws of Motion
In-Cla Problem 5: Neton La of Motion Conider a trac ith a pulley located at the end. The force enor and cart have total ma m 1. They are connected by a inextenible rope of length l (paing over the pulley)
More informationPhysics 6A. Practice Midterm #2 solutions. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB
Phyic 6A Practice Midter # olution or apu Learning Aitance Service at USB . A locootive engine of a M i attached to 5 train car, each of a M. The engine produce a contant force that ove the train forward
More informationEE 4443/5329. LAB 3: Control of Industrial Systems. Simulation and Hardware Control (PID Design) The Inverted Pendulum. (ECP Systems-Model: 505)
EE 4443/5329 LAB 3: Control of Indutrial Sytem Simulation and Hardware Control (PID Deign) The Inverted Pendulum (ECP Sytem-Model: 505) Compiled by: Nitin Swamy Email: nwamy@lakehore.uta.edu Email: okuljaca@lakehore.uta.edu
More informationSPH3UW/SPH4UI Unit 2.4 Friction Force Page 1 of 8. Notes. : The kind of friction that acts when a body slides over a surface. Static Friction Force, f
SPH3UW/SPH4UI Unit 2.4 Friction Force Page o 8 ote Phyic Tool Box Kinetic Friction Force, : The ind o riction that act when a body lide over a urace. Static Friction Force, : Friction orce when there i
More informationt α z t sin60 0, where you should be able to deduce that the angle between! r and! F 1
PART III Problem Problem1 A computer dik tart rotating from ret at contant angular acceleration. If it take 0.750 to complete it econd revolution: a) How long doe it take to complete the firt complete
More informationApplication of Newton s Laws. F fr
Application of ewton Law. A hocey puc on a frozen pond i given an initial peed of 0.0/. It lide 5 before coing to ret. Deterine the coefficient of inetic friction ( μ between the puc and ice. The total
More information15 N 5 N. Chapter 4 Forces and Newton s Laws of Motion. The net force on an object is the vector sum of all forces acting on that object.
Chapter 4 orce and ewton Law of Motion Goal for Chapter 4 to undertand what i force to tudy and apply ewton irt Law to tudy and apply the concept of a and acceleration a coponent of ewton Second Law to
More informationFrictional Forces. Friction has its basis in surfaces that are not completely smooth: 1/29
Frictional Force Friction ha it bai in urface that are not completely mooth: 1/29 Microcopic Friction Surface Roughne Adheion Magnified ection of a polihed teel urface howing urface irregularitie about
More informationHalliday/Resnick/Walker 7e Chapter 6
HRW 7e Chapter 6 Page of Halliday/Renick/Walker 7e Chapter 6 3. We do not conider the poibility that the bureau might tip, and treat thi a a purely horizontal motion problem (with the peron puh F in the
More informationFRICTION. k 9) For a body moving up a rough inclined plane under the action of a force F,
FRICTION POINTS TO REMEMBER ) The force that alway oppoe the relative motion between two urface in contact and parallel to the urface, oppoite to the direction of motion i called frictional force. ) The
More informationFALL TERM EXAM, PHYS 1211, INTRODUCTORY PHYSICS I Saturday, 14 December 2013, 1PM to 4 PM, AT 1003
FALL TERM EXAM, PHYS 111, INTRODUCTORY PHYSICS I Saturday, 14 December 013, 1PM to 4 PM, AT 1003 NAME: STUDENT ID: INSTRUCTION 1. Thi exam booklet ha 14 page. Make ure none are miing. There i an equation
More informationMidterm Review - Part 1
Honor Phyic Fall, 2016 Midterm Review - Part 1 Name: Mr. Leonard Intruction: Complete the following workheet. SHOW ALL OF YOUR WORK. 1. Determine whether each tatement i True or Fale. If the tatement i
More informationLinear Motion, Speed & Velocity
Add Important Linear Motion, Speed & Velocity Page: 136 Linear Motion, Speed & Velocity NGSS Standard: N/A MA Curriculum Framework (006): 1.1, 1. AP Phyic 1 Learning Objective: 3.A.1.1, 3.A.1.3 Knowledge/Undertanding
More informationa = f s,max /m = s g. 4. We first analyze the forces on the pig of mass m. The incline angle is.
Chapter 6 1. The greatet deceleration (of magnitude a) i provided by the maximum friction force (Eq. 6-1, with = mg in thi cae). Uing ewton econd law, we find a = f,max /m = g. Eq. -16 then give the hortet
More informationDiscover the answer to this question in this chapter.
Erwan, whoe ma i 65 kg, goe Bungee jumping. He ha been in free-fall for 0 m when the bungee rope begin to tretch. hat will the maximum tretching of the rope be if the rope act like a pring with a 100 N/m
More informationME 141. Lecture 7: Friction
ME 141 Engineering Mechanic Lecture 7: riction Ahmad Shahedi Shail Lecturer, Dept. of Mechanical Engg, BUET E-mail: hail@me.buet.ac.bd, hail6791@gmail.com Webite: teacher.buet.ac.bd/hail Courtey: Vector
More informationPhysics 6A. Practice Midterm #2 solutions
Phyic 6A Practice Midter # olution 1. A locootive engine of a M i attached to 5 train car, each of a M. The engine produce a contant force that ove the train forward at acceleration a. If 3 of the car
More informations much time does it take for the dog to run a distance of 10.0m
ATTENTION: All Diviion I tudent, START HERE. All Diviion II tudent kip the firt 0 quetion, begin on #.. Of the following, which quantity i a vector? Energy (B) Ma Average peed (D) Temperature (E) Linear
More informationHSC PHYSICS ONLINE KINEMATICS EXPERIMENT
HSC PHYSICS ONLINE KINEMATICS EXPERIMENT RECTILINEAR MOTION WITH UNIFORM ACCELERATION Ball rolling down a ramp Aim To perform an experiment and do a detailed analyi of the numerical reult for the rectilinear
More informationExample 1: Example 1: Example 2: a.) the elevator is at rest. Example 2: Example 2: c.) the elevator accelerates downward at 1.
Exaple 1: 60 kg, v 1 100 N (wet), v 2 220 N (eat), a? Exaple 1: wo force parallel to the ground act upon a box with a a of 60 kg. One force i directed wet and ha a trength of 100 N. he other force i directed
More informationMath Skills. Scientific Notation. Uncertainty in Measurements. Appendix A5 SKILLS HANDBOOK
ppendix 5 Scientific Notation It i difficult to work with very large or very mall number when they are written in common decimal notation. Uually it i poible to accommodate uch number by changing the SI
More informationPhysics Exam 3 Formulas
Phyic 10411 Exam III November 20, 2009 INSTRUCTIONS: Write your NAME on the front of the blue exam booklet. The exam i cloed book, and you may have only pen/pencil and a calculator (no tored equation or
More information3. In an interaction between two objects, each object exerts a force on the other. These forces are equal in magnitude and opposite in direction.
Lecture quiz toda. Small change to webite. Problem 4.30 the peed o the elevator i poitive even though it i decending. The WebAign anwer i wrong. ewton Law o Motion (page 9-99) 1. An object velocit vector
More informationName: Answer Key Date: Regents Physics. Energy
Nae: Anwer Key Date: Regent Phyic Tet # 9 Review Energy 1. Ue GUESS ethod and indicate all vector direction.. Ter to know: work, power, energy, conervation of energy, work-energy theore, elatic potential
More informationMassachusetts Institute of Technology Dynamics and Control II
I E Maachuett Intitute of Technology Department of Mechanical Engineering 2.004 Dynamic and Control II Laboratory Seion 5: Elimination of Steady-State Error Uing Integral Control Action 1 Laboratory Objective:
More informationMechanics. Free rotational oscillations. LD Physics Leaflets P Measuring with a hand-held stop-clock. Oscillations Torsion pendulum
Mechanic Ocillation Torion pendulum LD Phyic Leaflet P.5.. Free rotational ocillation Meauring with a hand-held top-clock Object of the experiment g Meauring the amplitude of rotational ocillation a function
More informationSocial Studies 201 Notes for November 14, 2003
1 Social Studie 201 Note for November 14, 2003 Etimation of a mean, mall ample ize Section 8.4, p. 501. When a reearcher ha only a mall ample ize available, the central limit theorem doe not apply to the
More informationAll Division 01 students, START HERE. All Division 02 students skip the first 10 questions, begin on # (D)
ATTENTION: All Diviion 01 tudent, START HERE. All Diviion 0 tudent kip the firt 10 quetion, begin on # 11. 1. Approxiately how any econd i it until the PhyicBowl take place in the year 109? 10 (B) 7 10
More informationME 141. Engineering Mechanics
ME 141 Engineering Mechanic Lecture 14: Plane motion of rigid bodie: Force and acceleration Ahmad Shahedi Shakil Lecturer, Dept. of Mechanical Engg, BUET E-mail: hakil@me.buet.ac.bd, hakil6791@gmail.com
More informationFriction Experiment. 1. Introduction. 2. Background Force. Science and Mechatronics Aided Research for Teachers
Science and Mechatronic Aided Reearch for Teacher 2003 2005 1. Introduction Friction Experiment by Sang-Hoon Lee, Saul Harari, Hong Wong, and Viram Kapila Puhing a heavy box that i lying on the ground
More informationClustering Methods without Given Number of Clusters
Clutering Method without Given Number of Cluter Peng Xu, Fei Liu Introduction A we now, mean method i a very effective algorithm of clutering. It mot powerful feature i the calability and implicity. However,
More informationAP Physics Charge Wrap up
AP Phyic Charge Wrap up Quite a few complicated euation for you to play with in thi unit. Here them babie i: F 1 4 0 1 r Thi i good old Coulomb law. You ue it to calculate the force exerted 1 by two charge
More informationPROBLEM = Knowing that P = 50 N, determine (a) the acceleration of block B, (b) the tension in the cord.
PROLEM 1.16 lock ha a ma of 40 k, and block ha a ma of 8 k. The coefficient of friction between all urface of contact are 0.0 m k = 0.15. Knowin that P = 50 N, determine (a) the acceleration of block,
More informationPHYSICSBOWL March 29 April 14, 2017
PHYSICSBOWL 2017 March 29 April 14, 2017 40 QUESTIONS 45 MINUTES The ponor of the 2017 PhyicBowl, including the American Aociation of Phyic Teacher, are providing ome of the prize to recognize outtanding
More informationtime? How will changes in vertical drop of the course affect race time? How will changes in the distance between turns affect race time?
Unit 1 Leon 1 Invetigation 1 Think About Thi Situation Name: Conider variou port that involve downhill racing. Think about the factor that decreae or increae the time it take to travel from top to bottom.
More informationPhysics 218: Exam 1. Class of 2:20pm. February 14th, You have the full class period to complete the exam.
Phyic 218: Exam 1 Cla of 2:20pm February 14th, 2012. Rule of the exam: 1. You have the full cla period to complete the exam. 2. Formulae are provided on the lat page. You may NOT ue any other formula heet.
More informationV = 4 3 πr3. d dt V = d ( 4 dv dt. = 4 3 π d dt r3 dv π 3r2 dv. dt = 4πr 2 dr
0.1 Related Rate In many phyical ituation we have a relationhip between multiple quantitie, and we know the rate at which one of the quantitie i changing. Oftentime we can ue thi relationhip a a convenient
More informationLecture 9: Shor s Algorithm
Quantum Computation (CMU 8-859BB, Fall 05) Lecture 9: Shor Algorithm October 7, 05 Lecturer: Ryan O Donnell Scribe: Sidhanth Mohanty Overview Let u recall the period finding problem that wa et up a a function
More informationCHAPTER VII FRICTION
CHAPTER VII FRICTION 1- The block brake conit of a pin-connected lever and friction block at B. The coefficient of tatic friction between the wheel and the lever i and a torque of i applied to the wheel.
More informationSocial Studies 201 Notes for March 18, 2005
1 Social Studie 201 Note for March 18, 2005 Etimation of a mean, mall ample ize Section 8.4, p. 501. When a reearcher ha only a mall ample ize available, the central limit theorem doe not apply to the
More informationCodes Correcting Two Deletions
1 Code Correcting Two Deletion Ryan Gabry and Frederic Sala Spawar Sytem Center Univerity of California, Lo Angele ryan.gabry@navy.mil fredala@ucla.edu Abtract In thi work, we invetigate the problem of
More informationChapter 4. The Laplace Transform Method
Chapter 4. The Laplace Tranform Method The Laplace Tranform i a tranformation, meaning that it change a function into a new function. Actually, it i a linear tranformation, becaue it convert a linear combination
More information303b Reducing the impact (Accelerometer & Light gate)
Senor: Logger: Accelerometer High g, Light gate Any EASYSENSE capable of fat logging Science in Sport Logging time: 1 econd 303b Reducing the impact (Accelerometer & Light gate) Read In many porting activitie
More informationECE-320 Linear Control Systems. Spring 2014, Exam 1. No calculators or computers allowed, you may leave your answers as fractions.
ECE-0 Linear Control Sytem Spring 04, Exam No calculator or computer allowed, you may leave your anwer a fraction. All problem are worth point unle noted otherwie. Total /00 Problem - refer to the unit
More informationReal-Time Identification of Sliding Friction Using LabVIEW FPGA
Real-Time Identification of Sliding Friction Uing LabVIEW FPGA M. Laine Mear, Jeannie S. Falcon, IEEE, and Thoma R. Kurfe, IEEE Abtract Friction i preent in all mechanical ytem, and can greatly affect
More informationPhysics 20 Lesson 16 Friction
Phyic 0 Leon 16 riction In the previou leon we learned that a rictional orce i any orce that reit, retard or ipede the otion o an object. In thi leon we will dicu how riction reult ro the contact between
More informationSource slideplayer.com/fundamentals of Analytical Chemistry, F.J. Holler, S.R.Crouch. Chapter 6: Random Errors in Chemical Analysis
Source lideplayer.com/fundamental of Analytical Chemitry, F.J. Holler, S.R.Crouch Chapter 6: Random Error in Chemical Analyi Random error are preent in every meaurement no matter how careful the experimenter.
More informationThe machines in the exercise work as follows:
Tik-79.148 Spring 2001 Introduction to Theoretical Computer Science Tutorial 9 Solution to Demontration Exercie 4. Contructing a complex Turing machine can be very laboriou. With the help of machine chema
More informationCoefficient of Friction
HOUSTON COMMUNITY COLLEGE SYSTEMS SOUTHWEST COLLEGE COLLEGE PHYSICS I PHYS 1401 PRE LAB QUESTIONS Due before lab begins. Coefficient of Friction 1) Explain briefly the different types of frictional forces.
More informationKEY. D. 1.3 kg m. Solution: Using conservation of energy on the swing, mg( h) = 1 2 mv2 v = 2mg( h)
Phy 5 - Fall 206 Extra credit review eion - Verion A KEY Thi i an extra credit review eion. t will be worth 30 point of extra credit. Dicu and work on the problem with your group. You may ue your text
More informationCorrection for Simple System Example and Notes on Laplace Transforms / Deviation Variables ECHE 550 Fall 2002
Correction for Simple Sytem Example and Note on Laplace Tranform / Deviation Variable ECHE 55 Fall 22 Conider a tank draining from an initial height of h o at time t =. With no flow into the tank (F in
More informationLecture 8: Period Finding: Simon s Problem over Z N
Quantum Computation (CMU 8-859BB, Fall 205) Lecture 8: Period Finding: Simon Problem over Z October 5, 205 Lecturer: John Wright Scribe: icola Rech Problem A mentioned previouly, period finding i a rephraing
More informationReal-time identification of sliding friction using LabVIEW FPGA
Clemon Univerity TigerPrint Publication Automotive Engineering 6-26 Real-time identification of liding friction uing LabVIEW FPGA Laine Mear Clemon Univerity, mear@clemon.edu Jeannie S. Falcon IEEE Thoma
More informationIII.9. THE HYSTERESIS CYCLE OF FERROELECTRIC SUBSTANCES
III.9. THE HYSTERESIS CYCLE OF FERROELECTRIC SBSTANCES. Work purpoe The analyi of the behaviour of a ferroelectric ubtance placed in an eternal electric field; the dependence of the electrical polariation
More informationControl Systems Analysis and Design by the Root-Locus Method
6 Control Sytem Analyi and Deign by the Root-Locu Method 6 1 INTRODUCTION The baic characteritic of the tranient repone of a cloed-loop ytem i cloely related to the location of the cloed-loop pole. If
More informationRegression. What is regression? Linear Regression. Cal State Northridge Ψ320 Andrew Ainsworth PhD
Regreion Cal State Northridge Ψ30 Andrew Ainworth PhD What i regreion? How do we predict one variable from another? How doe one variable change a the other change? Caue and effect Linear Regreion A technique
More informationNOTE: The items d) and e) of Question 4 gave you bonus marks.
MAE 40 Linear ircuit Summer 2007 Final Solution NOTE: The item d) and e) of Quetion 4 gave you bonu mark. Quetion [Equivalent irciut] [4 mark] Find the equivalent impedance between terminal A and B in
More informationμ + = σ = D 4 σ = D 3 σ = σ = All units in parts (a) and (b) are in V. (1) x chart: Center = μ = 0.75 UCL =
Our online Tutor are available 4*7 to provide Help with Proce control ytem Homework/Aignment or a long term Graduate/Undergraduate Proce control ytem Project. Our Tutor being experienced and proficient
More informationName Section Lab on Motion: Measuring Time and Gravity with a Pendulum Introduction: Have you ever considered what the word time means?
Name Section Lab on Motion: Meaurin Time and Gravity with a Pendulum Introduction: Have you ever conidered what the word time mean? For example what i the meanin of when we ay it take two minute to boil
More informationUniform Acceleration Problems Chapter 2: Linear Motion
Name Date Period Uniform Acceleration Problem Chapter 2: Linear Motion INSTRUCTIONS: For thi homework, you will be drawing a coordinate axi (in math lingo: an x-y board ) to olve kinematic (motion) problem.
More informationSampling and the Discrete Fourier Transform
Sampling and the Dicrete Fourier Tranform Sampling Method Sampling i mot commonly done with two device, the ample-and-hold (S/H) and the analog-to-digital-converter (ADC) The S/H acquire a CT ignal at
More informationUnit I Review Worksheet Key
Unit I Review Workheet Key 1. Which of the following tatement about vector and calar are TRUE? Anwer: CD a. Fale - Thi would never be the cae. Vector imply are direction-conciou, path-independent quantitie
More informationIncline Plane Activity
Purpose Incline Plane Activity During the activity, students will become familiar with solving static and dynamic incline plane problems. The students will use standard component methods and free body
More informationIncline Plane Activity
Purpose Incline Plane Activity During the activity, students will become familiar with solving static and dynamic incline plane problems. The students will use standard component methods and free body
More informationPHYSICS LAB Experiment 7 Fall 2004 CONSERVATION OF MOMENTUM & COLLISIONS
PHYSICS 83 - LAB Experiment 7 Fall 004 CONSERVATION OF MOMENTUM & COLLISIONS In this experiment we will study how the total vector momentum of an isolated system is conserved (remains constant) in collisions.
More informations s 1 s = m s 2 = 0; Δt = 1.75s; a =? mi hr
Flipping Phyic Lecture Note: Introduction to Acceleration with Priu Brake Slaing Exaple Proble a Δv a Δv v f v i & a t f t i Acceleration: & flip the guy and ultiply! Acceleration, jut like Diplaceent
More informationStatic and Kinetic Friction (Pasco)
Static and Kinetic Friction (Pasco) Introduction: If you try to slide a heavy box resting on the floor, you may find it difficult to move. Static friction is keeping the box in place. There is a limit
More informationPhysics 20 Lesson 28 Simple Harmonic Motion Dynamics & Energy
Phyic 0 Leon 8 Siple Haronic Motion Dynaic & Energy Now that we hae learned about work and the Law of Coneration of Energy, we are able to look at how thee can be applied to the ae phenoena. In general,
More informationFair Game Review. Chapter 7 A B C D E Name Date. Complete the number sentence with <, >, or =
Name Date Chapter 7 Fair Game Review Complete the number entence with , or =. 1. 3.4 3.45 2. 6.01 6.1 3. 3.50 3.5 4. 0.84 0.91 Find three decimal that make the number entence true. 5. 5.2 6. 2.65 >
More informationPROBLEM 8.6 SOLUTION. FBD block (Impending motion up) = N. = tan (0.25) (a) (Note: For minimum P, P^ Then. = ( N)sin β = 14.
PROBLEM 8.6 Knowing that the coefficient of friction between the 25-kg block and the incline i μ =.25, determine (a) the mallet value of P required to tart the block moving up the incline, (b) the correponding
More informationEXPERIMENT 7: ANGULAR KINEMATICS AND TORQUE (V_3)
TA name Lab section Date TA Initials (on completion) Name UW Student ID # Lab Partner(s) EXPERIMENT 7: ANGULAR KINEMATICS AND TORQUE (V_3) 121 Textbook Reference: Knight, Chapter 13.1-3, 6. SYNOPSIS In
More informationFrames of Reference and Relative Velocity
1.5 frame of reference coordinate ytem relative to which motion i oberved Frame of Reference and Relative Velocity Air how provide element of both excitement and danger. When high-peed airplane fly in
More informationDIFFERENTIAL EQUATIONS Laplace Transforms. Paul Dawkins
DIFFERENTIAL EQUATIONS Laplace Tranform Paul Dawkin Table of Content Preface... Laplace Tranform... Introduction... The Definition... 5 Laplace Tranform... 9 Invere Laplace Tranform... Step Function...
More informationThe Coefficient of Friction
The Coefficient of Friction OBJECTIVE To determine the coefficient of static friction between two pieces of wood. To determine the coefficient of kinetic friction between two pieces of wood. To investigate
More informationLecture 10 Filtering: Applied Concepts
Lecture Filtering: Applied Concept In the previou two lecture, you have learned about finite-impule-repone (FIR) and infinite-impule-repone (IIR) filter. In thee lecture, we introduced the concept of filtering
More informationtwo equations that govern the motion of the fluid through some medium, like a pipe. These two equations are the
Fluid and Fluid Mechanic Fluid in motion Dynamic Equation of Continuity After having worked on fluid at ret we turn to a moving fluid To decribe a moving fluid we develop two equation that govern the motion
More informationThe Influence of the Load Condition upon the Radial Distribution of Electromagnetic Vibration and Noise in a Three-Phase Squirrel-Cage Induction Motor
The Influence of the Load Condition upon the Radial Ditribution of Electromagnetic Vibration and Noie in a Three-Phae Squirrel-Cage Induction Motor Yuta Sato 1, Iao Hirotuka 1, Kazuo Tuboi 1, Maanori Nakamura
More informationMoment of Inertia of an Equilateral Triangle with Pivot at one Vertex
oment of nertia of an Equilateral Triangle with Pivot at one Vertex There are two wa (at leat) to derive the expreion f an equilateral triangle that i rotated about one vertex, and ll how ou both here.
More informationPractice Problem Solutions. Identify the Goal The acceleration of the object Variables and Constants Known Implied Unknown m = 4.
Chapter 5 Newton Law Practice Proble Solution Student Textbook page 163 1. Frae the Proble - Draw a free body diagra of the proble. - The downward force of gravity i balanced by the upward noral force.
More informationConstant Force: Projectile Motion
Contant Force: Projectile Motion Abtract In thi lab, you will launch an object with a pecific initial velocity (magnitude and direction) and determine the angle at which the range i a maximum. Other tak,
More informationSolving Differential Equations by the Laplace Transform and by Numerical Methods
36CH_PHCalter_TechMath_95099 3//007 :8 PM Page Solving Differential Equation by the Laplace Tranform and by Numerical Method OBJECTIVES When you have completed thi chapter, you hould be able to: Find the
More informationNo-load And Blocked Rotor Test On An Induction Machine
No-load And Blocked Rotor Tet On An Induction Machine Aim To etimate magnetization and leakage impedance parameter of induction machine uing no-load and blocked rotor tet Theory An induction machine in
More informationTHE THERMOELASTIC SQUARE
HE HERMOELASIC SQUARE A mnemonic for remembering thermodynamic identitie he tate of a material i the collection of variable uch a tre, train, temperature, entropy. A variable i a tate variable if it integral
More informationLaplace Transformation
Univerity of Technology Electromechanical Department Energy Branch Advance Mathematic Laplace Tranformation nd Cla Lecture 6 Page of 7 Laplace Tranformation Definition Suppoe that f(t) i a piecewie continuou
More informationNAME (pinyin/italian)... MATRICULATION NUMBER... SIGNATURE
POLITONG SHANGHAI BASIC AUTOMATIC CONTROL June Academic Year / Exam grade NAME (pinyin/italian)... MATRICULATION NUMBER... SIGNATURE Ue only thee page (including the bac) for anwer. Do not ue additional
More informationPreemptive scheduling on a small number of hierarchical machines
Available online at www.ciencedirect.com Information and Computation 06 (008) 60 619 www.elevier.com/locate/ic Preemptive cheduling on a mall number of hierarchical machine György Dóa a, Leah Eptein b,
More informationCEE 320 Midterm Examination (1 hour)
Examination (1 hour) Pleae write your name on thi cover. Pleae write you lat name on all other exam page Thi examination i open-book, open-note. There are 5 quetion worth a total of 100 point. Each quetion
More informationHooke s Law. Equipment. Introduction and Theory
Hooke s Law Objective to test Hooke s Law by measuring the spring constants of different springs and spring systems to test whether all elastic objects obey Hooke s Law Equipment two nearly identical springs,
More informationLecture 7: Testing Distributions
CSE 5: Sublinear (and Streaming) Algorithm Spring 014 Lecture 7: Teting Ditribution April 1, 014 Lecturer: Paul Beame Scribe: Paul Beame 1 Teting Uniformity of Ditribution We return today to property teting
More informationDIFFERENTIAL EQUATIONS
DIFFERENTIAL EQUATIONS Laplace Tranform Paul Dawkin Table of Content Preface... Laplace Tranform... Introduction... The Definition... 5 Laplace Tranform... 9 Invere Laplace Tranform... Step Function...4
More informationLab Partner(s) TA Initials (on completion) EXPERIMENT 7: ANGULAR KINEMATICS AND TORQUE
TA name Lab section Date TA Initials (on completion) Name UW Student ID # Lab Partner(s) EXPERIMENT 7: ANGULAR KINEMATICS AND TORQUE 117 Textbook Reference: Walker, Chapter 10-1,2, Chapter 11-1,3 SYNOPSIS
More informationECE 3510 Root Locus Design Examples. PI To eliminate steady-state error (for constant inputs) & perfect rejection of constant disturbances
ECE 350 Root Locu Deign Example Recall the imple crude ervo from lab G( ) 0 6.64 53.78 σ = = 3 23.473 PI To eliminate teady-tate error (for contant input) & perfect reection of contant diturbance Note:
More informationMath 273 Solutions to Review Problems for Exam 1
Math 7 Solution to Review Problem for Exam True or Fale? Circle ONE anwer for each Hint: For effective tudy, explain why if true and give a counterexample if fale (a) T or F : If a b and b c, then a c
More information11.2 Stability. A gain element is an active device. One potential problem with every active circuit is its stability
5/7/2007 11_2 tability 1/2 112 tability eading Aignment: pp 542-548 A gain element i an active device One potential problem with every active circuit i it tability HO: TABIITY Jim tile The Univ of Kana
More information1 Routh Array: 15 points
EE C28 / ME34 Problem Set 3 Solution Fall 2 Routh Array: 5 point Conider the ytem below, with D() k(+), w(t), G() +2, and H y() 2 ++2 2(+). Find the cloed loop tranfer function Y () R(), and range of k
More informationWhat Are Newton's Laws of Motion?
Phyic Review What Are Newton' Law of Motion? Intel Corporation or it ubidiarie in the U.S. and other countrie. orce Puh or Pull that act between two bodie Tenion Gravitational force rictional force Air
More informationGiven the following circuit with unknown initial capacitor voltage v(0): X(s) Immediately, we know that the transfer function H(s) is
EE 4G Note: Chapter 6 Intructor: Cheung More about ZSR and ZIR. Finding unknown initial condition: Given the following circuit with unknown initial capacitor voltage v0: F v0/ / Input xt 0Ω Output yt -
More information