# Relativity Worked Solutions

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 Physis Option Problems - Relativisti Addition of Veloities (from Gianoli 6 th edition 43. (I A person on a roket traveling at.5 (with respet to the Earth observes a meteor ome from behind and pass her at a speed she measures as.5. How fast is the meteor moving with respet to the Earth? 44. (II Two spaeships leave Earth in opposite diretions, eah with a speed of.5 with respet to Earth. (a What is the veloity of spaeship relative to spaeship? (b What is the veloity of spaeship relative to spaeship? 45. (II A spaeship leaves Earth traveling at.7. A seond spaeship leaves the first at a speed of.7 with respet to the first. Calulate the speed of the seond ship with respet to Earth if it is fired (a in the same diretion the first spaeship is already moving, (b diretly bakward toward Earth. 46. (II An observer on Earth sees an alien vessel approah at a speed of.6. The Enterprise omes to the resue (Fig. 6, overtaking the aliens while moving diretly toward Earth at a speed of.9 relative to Earth. What is the relative speed of one vessel as seen by the other? 47. (II A spaeship in distress sends out two esape pods in opposite diretions. One travels at a speed v. 6 in one diretion, and the other travels at a speed v +. 7 in the other diretion, as observed from the spaeship.. What speed does the first esape pod measure for the seond esape pod? 4. (II Roket A passes Earth at a speed of.75. At the same time, roket B passes Earth moving.95 relative to Earth in the same diretion. How fast is B moving relative to A when it passes A? Answers 43. We find the speed in the frame of the Earth from ( (.5 + ( (a In the referene frame of the seond spaeship, the Earth is moving at.5, and the first spaeship is moving at.5 relative to the Earth. Thus the speed of the first spaeship relative to the seond is ( ( +.5(.5 (b In the referene frame of the first spaeship, the Earth is moving at.5, and the seond spaeship is moving at.5 relative to the Earth. Thus the speed of the seond spaeship relative to the first is.5 + (.5., as expeted. + (.5 + (.5

2 Physis Option 45. We take the positive diretion in the diretion of the first spaeship. (a In the referene frame of the Earth, the first spaeship is moving at +.7, and the seond spaeship is moving at +.7 relative to the first. Thus the speed of the seond spaeship relative to the Earth is ( ( +.7(.7 (b In the referene frame of the Earth, the first spaeship is moving at +.7, and the seond spaeship is moving at.7 relative to the first. Thus the speed of the seond spaeship relative to the Earth is ( ( +.7( We take the positive diretion in the diretion of the Enterprise. In the referene frame of the alien vessel, the Earth is moving at.6, and the Enterprise is moving at +.9 relative to the Earth. Thus the speed of the Enterprise relative to the alien vessel is ( (.6 + ( +.9 Note that the relative speed of the two vessels as seen on Earth is From the first pod s point of view, the spaeship and the seond pod are moving in the same diretion. Thus the speed of the seond pod relative to the first is v + u vu + + (.6(.7 4. The speed of roket B relative to Earth an be written as v + u u, vu + where v is the speed of Roket A relative to Earth and u is the speed of Roket B relative to Roket A. With the given values, then,.75 + u.95, whih gives u.7..75u +

4 Problems. (I A ertain hemial reation requires mass of the produts over the reatants?. We find the inrease in mass from 4 ( 4. J ( 3. m s 3 m 5.36 kg. Note that this is so small, most hemial reations are onsidered to have mass onserved. 4 Physis Option 4. J of energy input for it to go. What is the inrease in. (I When a uranium nuleus at rest breaks apart in the proess known as fission in a nulear reator, the resulting fragments have a total kineti energy of about MeV. How muh masss was lost in the proess?. We find the loss in mass from ( ( ( 3 MeV.6 J MeV m 3. m s. (I Calulate the rest energy of an eletron in joules and in MeV ( MeV.6. The rest energy of the eletron is E m ( ( 4 (. J 3 (.6 J MeV 3 9. kg kg. 4 m s. J.5MeV. 3 J. 3. (I Calulate the rest mass of a 3. The rest mass of the proton is ( 7 ( ( E.67 kg.9979 m s 93MeV 3..6 J MeV 4. (I The total annual energy onsumption in the United States is about J. How muh mass would have to be onverted to energy to fuel this need? 4. We find the neessary mass onversion from 9 ( J ( 3. m s m 5. (II How muh energy an be obtained from onversion of. gram of mass? How muh mass ould this energy raise to a height of.5 km above the Earth s surfae? 5. We find the energy equivalent of the mass from E ( ( 3 m. kg 3. proton in MeV. If this energy inreases the gravitational energy, we have E mgh; 9 kg. 3 m s 9. J. 9

5 ( ( J m 9. m s.5 m, 6. (II What is the speed of a partile when its kineti energy equals its rest energy? 6. If the kineti energy is equal to the rest energy, we have KE m m m, or m m. ( We find the speed from m ; v, whih gives v.66. v 7. (II At what speed will an objet s kineti energy be 5% of its rest energy? 7. If the kineti energy is 5% of the rest energy, we have KE m m.5 m, or m.5 m. ( whih gives r We find the speed from m ; v.5, whih gives v.6. v. (II How muh work is required to aelerate a proton from rest up to a speed of..997? Physis Option m 3.7 kg.. (a We find the work required from W KE ( m m m v ( 93 MeV (.9977 ( 3. MeV.GeV.3 9 J.

### Chapter 38A - Relativity. A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University

Chapter 38A - Relativity A PowerPoint Presentation by Paul E. Tippens, Professor of Physis Southern Polytehni State University 27 Objetives: After ompleting this module, you should be able to: State and

### Physics 43 HW 3 Serway Chapter 39 & Knight Chapter 37

Physis 43 HW 3 Serway Chapter 39 & Knight Chapter 37 Serway 7 th Edition Chapter 39 Problems: 15, 1, 5, 57, 60, 65 15. Review problem. An alien ivilization oupies a brown dwarf, nearly stationary relative

### CHAPTER 14 Chemical Equilibrium: Equal but Opposite Reaction Rates

CHATER 14 Chemial Equilibrium: Equal but Opposite Reation Rates 14.1. Collet and Organize For two reversible reations, we are given the reation profiles (Figure 14.1). The profile for the onversion of

### Special Relativity and Linear Algebra

peial Relativity and Linear Algebra Corey Adams May 7, Introdution Before Einstein s publiation in 95 of his theory of speial relativity, the mathematial manipulations that were a produt of his theory

### PY1002: Special Relativity

PY100: Speial Relativity Notes by Chris Blair These notes over the Junior Freshman ourse given by Dr. Barklie in Mihaelmas Term 006. Contents 1 Galilean Transformations 1.1 Referene Frames....................................

### arxiv:astro-ph/0304006v2 10 Jun 2003 Theory Group, MS 50A-5101 Lawrence Berkeley National Laboratory One Cyclotron Road Berkeley, CA 94720 USA

LBNL-52402 Marh 2003 On the Speed of Gravity and the v/ Corretions to the Shapiro Time Delay Stuart Samuel 1 arxiv:astro-ph/0304006v2 10 Jun 2003 Theory Group, MS 50A-5101 Lawrene Berkeley National Laboratory

### Sebastián Bravo López

Transfinite Turing mahines Sebastián Bravo López 1 Introdution With the rise of omputers with high omputational power the idea of developing more powerful models of omputation has appeared. Suppose that

### Special Theory of Relativity An Introduction

Speial Theory of Relatiity An Introdution DJM 8/ Bakground Most basi onept of relatiity is as old as Galilean and Newtonian Mehanis. Crudely speaking, it is: The Laws of Physis look the same in different

### Chemical Equilibrium. Chemical Equilibrium. Chemical Equilibrium. Chemical Equilibriu m. Chapter 14

Chapter 14 Chemial Equilibrium Chemial Equilibriu m Muh like water in a U-shaped tube, there is onstant mixing bak and forth through the lower portion of the tube. reatants produts It s as if the forward

### Relativity in the Global Positioning System

Relativity in the Global Positioning System Neil Ashby Department of Physis,UCB 390 University of Colorado, Boulder, CO 80309-00390 NIST Affiliate Email: ashby@boulder.nist.gov July 0, 006 AAPT workshop

### Derivation of Einstein s Equation, E = mc 2, from the Classical Force Laws

Apeiron, Vol. 14, No. 4, Otober 7 435 Derivation of Einstein s Equation, E = m, from the Classial Fore Laws N. Hamdan, A.K. Hariri Department of Physis, University of Aleppo, Syria nhamdan59@hotmail.om,

### Fundamentals of Chemical Reactor Theory

UNIVERSITY OF CALIFORNIA, LOS ANGELES Civil & Environmental Engineering Department Fundamentals of Chemial Reator Theory Mihael K. Stenstrom Professor Diego Rosso Teahing Assistant Los Angeles, 3 Introdution

### Computer Networks Framing

Computer Networks Framing Saad Mneimneh Computer Siene Hunter College of CUNY New York Introdution Who framed Roger rabbit? A detetive, a woman, and a rabbit in a network of trouble We will skip the physial

### Light. Physics Gymnasium 15/06/00. Outline. Einstein s Theory of Relativity Outrageous, but true! What about Galileo and Newton? What about Einstein?

Outline Einstein s Theory of Relativity Outrageous, but true! Galileo and Newton The start of eletromagnetism Einstein - The Theory of Speial Relativity Einstein - The Theory of General Relativity Physis

### Classical Electromagnetic Doppler Effect Redefined. Copyright 2014 Joseph A. Rybczyk

Classial Eletromagneti Doppler Effet Redefined Copyright 04 Joseph A. Rybzyk Abstrat The lassial Doppler Effet formula for eletromagneti waves is redefined to agree with the fundamental sientifi priniples

### Relativistic Kinematics -a project in Analytical mechanics Karlstad University

Relativisti Kinematis -a projet in Analytial mehanis Karlstad University Carl Stigner 1th January 6 Abstrat The following text is a desription of some of the ontent in hapter 7 in the textbook Classial

### 10.1 The Lorentz force law

Sott Hughes 10 Marh 2005 Massahusetts Institute of Tehnology Department of Physis 8.022 Spring 2004 Leture 10: Magneti fore; Magneti fields; Ampere s law 10.1 The Lorentz fore law Until now, we have been

### Impact Simulation of Extreme Wind Generated Missiles on Radioactive Waste Storage Facilities

Impat Simulation of Extreme Wind Generated issiles on Radioative Waste Storage Failities G. Barbella Sogin S.p.A. Via Torino 6 00184 Rome (Italy), barbella@sogin.it Abstrat: The strutural design of temporary

### From (2) follows, if z0 = 0, then z = vt, thus a2 =?va (2.3) Then 2:3 beomes z0 = z (z? vt) (2.4) t0 = bt + b2z Consider the onsequenes of (3). A ligh

Chapter 2 Lorentz Transformations 2. Elementary Considerations We assume we have two oordinate systems S and S0 with oordinates x; y; z; t and x0; y0; z0; t0, respetively. Physial events an be measured

### SPECIAL RELATIVITY. MATH2410 KOMISSAROV S.S

SPECIAL RELATIVITY. MATH2410 KOMISSAROV S.S 2012 2 Contents Contents 2 1 Spae and Time in Newtonian Physis 9 1.1 Spae............................................ 9 1.1.1 Einstein summation rule..............................

### Chapter 5 Single Phase Systems

Chapter 5 Single Phase Systems Chemial engineering alulations rely heavily on the availability of physial properties of materials. There are three ommon methods used to find these properties. These inlude

### Physical and mathematical postulates behind relativity

Physial and mathematial postulates behind relativity Tuomo Suntola Physis Foundations Soiety, Finland, www.physisfoundations.org In this presentation we look for answers to questions: What was the problem

### Theory of linear elasticity. I assume you have learned the elements of linear

Physial Metallurgy Frature mehanis leture 1 In the next two letures (Ot.16, Ot.18), we will disuss some basis of frature mehanis using ontinuum theories. The method of ontinuum mehanis is to view a solid

### On the Notion of the Measure of Inertia in the Special Relativity Theory

www.senet.org/apr Applied Physis Researh Vol. 4, No. ; 1 On the Notion of the Measure of Inertia in the Speial Relativity Theory Sergey A. Vasiliev 1 1 Sientifi Researh Institute of Exploration Geophysis

### Decimal numbers. Chapter

Chapter 6 Deimal numbers Contents: A B C D E F G H I Plae value Ordering deimal numbers Adding and subtrating deimal numbers Multiplying and dividing by powers of 0 Multiplying deimal numbers Dividing

### Isaac Newton. Translated into English by

THE MATHEMATICAL PRINCIPLES OF NATURAL PHILOSOPHY (BOOK 1, SECTION 1) By Isaa Newton Translated into English by Andrew Motte Edited by David R. Wilkins 2002 NOTE ON THE TEXT Setion I in Book I of Isaa

### HEAT CONDUCTION. q A q T

HEAT CONDUCTION When a temperature gradient eist in a material, heat flows from the high temperature region to the low temperature region. The heat transfer mehanism is referred to as ondution and the

### Chapter 1 Microeconomics of Consumer Theory

Chapter 1 Miroeonomis of Consumer Theory The two broad ategories of deision-makers in an eonomy are onsumers and firms. Eah individual in eah of these groups makes its deisions in order to ahieve some

### Channel Assignment Strategies for Cellular Phone Systems

Channel Assignment Strategies for Cellular Phone Systems Wei Liu Yiping Han Hang Yu Zhejiang University Hangzhou, P. R. China Contat: wliu5@ie.uhk.edu.hk 000 Mathematial Contest in Modeling (MCM) Meritorious

### Teaching Relativity in Week One

Teahing Relativity in Week One Working with thought experiments rather than mathematial formalism Photo ourtesy of The Arhives, California Institute of Tehnology Based on the text Physis2000 by Prof. E.

### Previously Published Works UC Berkeley

Previously Published Works UC Berkeley A University of California author or department has made this artile openly available. Thanks to the Aademi Senate s Open Aess Poliy, a great many UC-authored sholarly

### Vapor Pressure of a Solid by Knudsen Effusion

Vapor Pressure of a Solid by Knudsen Effusion Readings: Atkins (8 th ed) pages 17-18 and 746-757; Garland, Nibler, and Shoemaker (GNS) (8 th ed) pages 119-17, 587-594, and 597. Introdution Methods of measuring

### ) ( )( ) ( ) ( )( ) ( ) ( ) (1)

OPEN CHANNEL FLOW Open hannel flow is haraterized by a surfae in ontat with a gas phase, allowing the fluid to take on shapes and undergo behavior that is impossible in a pipe or other filled onduit. Examples

### THE EFFECT OF WATER VAPOR ON COUNTERFLOW DIFFUSION FLAMES

THE EFFECT OF WATER VAPOR ON COUNTERFLOW DIFFUSION FLAMES by Jaeil Suh and Arvind Atreya Combustion and Heat Tkansfer Laboratory Department of Mehanial Engineering and Applied Mehanis The University of

### Role of the Reference Frame in Angular Photon Distribution at Electron-Positron Annihilation

Journal of Modern Physis,, 5, 353-358 Published Online April in SiRes. http://www.sirp.org/journal/jmp http://dx.doi.org/.36/jmp..565 Role of the Referene Frame in Angular Photon Distribution at Eletron-Positron

### THE PERFORMANCE OF TRANSIT TIME FLOWMETERS IN HEATED GAS MIXTURES

Proeedings of FEDSM 98 998 ASME Fluids Engineering Division Summer Meeting June 2-25, 998 Washington DC FEDSM98-529 THE PERFORMANCE OF TRANSIT TIME FLOWMETERS IN HEATED GAS MIXTURES John D. Wright Proess

### Masters Thesis- Criticality Alarm System Design Guide with Accompanying Alarm System Development for the Radioisotope Production L

PNNL-18348 Prepared for the U.S. Department of Energy under Contrat DE-AC05-76RL01830 Masters Thesis- Critiality Alarm System Design Guide with Aompanying Alarm System Development for the Radioisotope

### Introduction to Molecular Simulation Carl T. Lira

Introdution to Moleular Simulation Carl T. Lira This supplement omplements and extends the textbook disussion in Chapter 7 of Introdutory Chemial Engineering Thermodynamis, nd ed., J.R. Elliott, C.T. Lira.

### chapter > Make the Connection Factoring CHAPTER 4 OUTLINE Chapter 4 :: Pretest 374

CHAPTER hapter 4 > Make the Connetion 4 INTRODUCTION Developing seret odes is big business beause of the widespread use of omputers and the Internet. Corporations all over the world sell enryption systems

### 4.15 USING METEOSAT SECOND GENERATION HIGH RESOLUTION VISIBLE DATA FOR THE IMPOVEMENT OF THE RAPID DEVELOPPING THUNDERSTORM PRODUCT

4.15 USNG METEOSAT SECOND GENEATON HGH ESOLUTON VSBLE DATA FO THE MPOVEMENT OF THE APD DEVELOPPNG THUNDESTOM PODUCT Oleksiy Kryvobok * Ukrainian HydroMeteorologial nstitute Kyiv, Ukraine Stephane Senesi

### Gravity and the quantum vacuum inertia hypothesis

Ann. Phys. (Leipzig) 14, No. 8, 479 498 (2005) / DOI 10.1002/andp.200510147 Gravity and the quantum vauum inertia hypothesis Alfonso Rueda 1, and Bernard Haish 2, 1 Department of Eletrial Engineering,

### A Three-Hybrid Treatment Method of the Compressor's Characteristic Line in Performance Prediction of Power Systems

A Three-Hybrid Treatment Method of the Compressor's Charateristi Line in Performane Predition of Power Systems A Three-Hybrid Treatment Method of the Compressor's Charateristi Line in Performane Predition

### EE 201 ELECTRIC CIRCUITS LECTURE 25. Natural, Forced and Complete Responses of First Order Circuits

EE 201 EECTRIC CIUITS ECTURE 25 The material overed in this leture will be as follows: Natural, Fored and Complete Responses of First Order Ciruits Step Response of First Order Ciruits Step Response of

### INCOME TAX WITHHOLDING GUIDE FOR EMPLOYERS

Virginia Department of Taxation INCOME TAX WITHHOLDING GUIDE FOR EMPLOYERS www.tax.virginia.gov 2614086 Rev. 07/14 * Table of Contents Introdution... 1 Important... 1 Where to Get Assistane... 1 Online

### Electrician'sMathand BasicElectricalFormulas

Eletriian'sMathand BasiEletrialFormulas MikeHoltEnterprises,In. 1.888.NEC.CODE www.mikeholt.om Introdution Introdution This PDF is a free resoure from Mike Holt Enterprises, In. It s Unit 1 from the Eletrial

### INCOME TAX WITHHOLDING GUIDE FOR EMPLOYERS

Virginia Department of Taxation INCOME TAX WITHHOLDING GUIDE FOR EMPLOYERS www.tax.virginia.gov 2614086 Rev. 01/16 Table of Contents Introdution... 1 Important... 1 Where to Get Assistane... 1 Online File

### Availability, Reliability, Maintainability, and Capability

Availability, Reliability, Maintainability, and Capability H. Paul Barringer, P.E. Barringer & Assoiates, In. Humble, TX Triplex Chapter Of The Vibrations Institute Hilton Hotel Beaumont, Texas February

### Weighting Methods in Survey Sampling

Setion on Survey Researh Methods JSM 01 Weighting Methods in Survey Sampling Chiao-hih Chang Ferry Butar Butar Abstrat It is said that a well-designed survey an best prevent nonresponse. However, no matter

### Set Theory and Logic: Fundamental Concepts (Notes by Dr. J. Santos)

A.1 Set Theory and Logi: Fundamental Conepts (Notes by Dr. J. Santos) A.1. Primitive Conepts. In mathematis, the notion of a set is a primitive notion. That is, we admit, as a starting point, the existene

### Price-based versus quantity-based approaches for stimulating the development of renewable electricity: new insights in an old debate

Prie-based versus -based approahes for stimulating the development of renewable eletriity: new insights in an old debate uthors: Dominique FINON, Philippe MENNTEU, Marie-Laure LMY, Institut d Eonomie et

### THE UNIVERSITY OF THE STATE OF NEW YORK THE STATE EDUCATION DEPARTMENT ALBANY, NY

P THE UNIVERSITY OF THE STATE OF NEW YORK THE STATE EDUCATION DEPARTMENT ALBANY, NY 4 Referene Tables for Physial Setting/PHYSICS 006 Edition List of Physial Constants Name Symbol Value Universal gravitational

### An Enhanced Critical Path Method for Multiple Resource Constraints

An Enhaned Critial Path Method for Multiple Resoure Constraints Chang-Pin Lin, Hung-Lin Tai, and Shih-Yan Hu Abstrat Traditional Critial Path Method onsiders only logial dependenies between related ativities

### Findings and Recommendations

Contrating Methods and Administration Findings and Reommendations Finding 9-1 ESD did not utilize a formal written pre-qualifiations proess for seleting experiened design onsultants. ESD hose onsultants

### Effects of Inter-Coaching Spacing on Aerodynamic Noise Generation Inside High-speed Trains

Effets of Inter-Coahing Spaing on Aerodynami Noise Generation Inside High-speed Trains 1 J. Ryu, 1 J. Park*, 2 C. Choi, 1 S. Song Hanyang University, Seoul, South Korea 1 ; Korea Railroad Researh Institute,

### Comay s Paradox: Do Magnetic Charges Conserve Energy?

Comay s Paradox: Do Magneti Charges Conserve Energy? 1 Problem Kirk T. MDonald Joseph Henry Laboratories, Prineton University, Prineton, NJ 08544 (June 1, 2015; updated July 16, 2015) The interation energy

### NASDAQ Commodity Index Methodology

NASDAQ Commodity Index Methodology January 2016 1 P a g e 1. Introdution... 5 1.1 Index Types... 5 1.2 Index History... 5 1.3 Index Curreny... 5 1.4 Index Family... 6 1.5 NQCI Index Setors... 6 2. Definitions...

### TECH LETTER #3 MEASUREMENT OF LINE AND LOAD REGULATION OF DC POWER SUPPLIES HARRISON LABORATORIES DIVISION OF HEWLETT-PACKARD COMPANY

TECH LETTER #3 MEASUREMENT OF LNE AND LOAD REGULATON OF DC POWER SUPPLES (F HARRSON LABORATORES DVSON OF HEWLETT-PACKARD COMPANY 100 Loust Avenue Berkeley Heights, New Jersey 07922 ---. - - -- _q_- TECH

### Phys 232 Lab 8 Ch 21 Interactions with Magnetic Fields 1

Phys 3 Lab 8 Ch 1 Interations with Magneti Fields 1 Equipment: omputer with VPython, single e/m apparatus for qualitative experimenting: Fore on dipole: blak power supply, TeahSpin Magneti Fore apparatus,

### PHARMACEUTICAL ENGINEERING

PHARMACEUTICAL ENGINEERING Unit Operations and Unit Proesses Dr Jasmina Khanam Reader of Pharmaeutial Engineering Division Department of Pharmaeutial Tehnology Jadavpur University Kolkatta-70003 (06--007)

### Conversion of short optical pulses to terahertz radiation in a nonlinear medium: Experiment and theory

PHYSICAL REVIEW B 76, 35114 007 Conversion of short optial pulses to terahertz radiation in a nonlinear medium: Experiment and theory N. N. Zinov ev* Department of Physis, University of Durham, Durham

### HEAT EXCHANGERS-2. Associate Professor. IIT Delhi E-mail: prabal@mech.iitd.ac.in. P.Talukdar/ Mech-IITD

HEA EXHANGERS-2 Prabal alukdar Assoiate Professor Department of Mehanial Engineering II Delhi E-mail: prabal@meh.iitd.a.in Multipass and rossflow he subsripts 1 and 2 represent the inlet and outlet, respetively..

### THERMAL TO MECHANICAL ENERGY CONVERSION: ENGINES AND REQUIREMENTS Vol. I - Thermodynamic Cycles of Reciprocating and Rotary Engines - R.S.

THERMAL TO MECHANICAL ENERGY CONVERSION: ENGINES AND REQUIREMENTS Vol. I - Thermodynami Cyles of Reiproating and Rotary Engines - R.S.Kavtaradze THERMODYNAMIC CYCLES OF RECIPROCATING AND ROTARY ENGINES

### Another Look at Gaussian CGS Units

Another Look at Gaussian CGS Units or, Why CGS Units Make You Cool Prashanth S. Venkataram February 24, 202 Abstrat In this paper, I ompare the merits of Gaussian CGS and SI units in a variety of different

### 4/3 Problem for the Gravitational Field

4/3 Proble for the Gravitational Field Serey G. Fedosin PO bo 6488 Sviazeva str. -79 Per Russia E-ail: intelli@list.ru Abstrat The ravitational field potentials outside and inside a unifor assive ball

### A novel active mass damper for vibration control of bridges

IABMAS 08, International Conferene on Bridge Maintenane, Safety and Management, 3-7 July 008, Seoul, Korea A novel ative mass damper for vibration ontrol of bridges U. Starossek & J. Sheller Strutural

### PISTONLESS DUAL CHAMBER ROCKET FUEL PUMP

39 th AIAA/ASE/SAE/ASEE Joint Propulsion Conferene and Exhibit AIAA 2003-4479 20-23 July 2003, Huntsville Alabama PISTONLESS DUAL CHABER ROCKET FUEL PUP Steve Harrington, Ph.D. Flometris, In. Solana Beah,

### DSP-I DSP-I DSP-I DSP-I

DSP-I DSP-I DSP-I DSP-I Digital Signal Proessing I (8-79) Fall Semester, 005 IIR FILER DESIG EXAMPLE hese notes summarize the design proedure for IIR filters as disussed in lass on ovember. Introdution:

### Motorcycle Accident Reconstruction Part I - Physical Models

Motoryle Aident Reonstrution Part I - Physial Models Oren Masory Wade Bartlett Bill Wright Dept. of Oean & Mehanial Engr. Mehanial Forensis Engineering Servies IPTM Florida Atlanti University 179 Cross

### Use of Track Geometry Measurements for Maintenance Planning

84 TRANSPORTATION RESEARCH RECORD 147 Use of Trak Geometry Measurements for Maintenane Planning WILLEM EBERSOHN AND ERNEST T. SELIG Trak geometry measurements are disussed as a means of evaluating the

### pss Comparison of AlGaN/GaN MISHEMT powerbar designs solidi status physica

Phys. Status Solidi C 11, No. 3 4, 906 910 (2014) / DOI 10.1002/pss.201300490 Comparison of AlGaN/GaN MISHEMT powerbar designs physia pss www.pss-.om urrent topis in solid state physis Steve Stoffels *,

### Chapter 1: Introduction

Chapter 1: Introdution 1.1 Pratial olumn base details in steel strutures 1.1.1 Pratial olumn base details Every struture must transfer vertial and lateral loads to the supports. In some ases, beams or

### 1 CHAPTER 6 PROPERTIES OF GASES

CHAPTER 6 PROPERTIES OF GASES 6. The Ideal Gas Equation In 660, the Honorable Robert Boyle, Father of Chemistry and seventh son of the Earl of Cork, and one of the founders of the Royal Soiety of London,

### Hamiltonian of Multipotential Field in Nanorobotics

International Journal of New Tehnology and Researh (IJNTR) ISSN:454-4116, Volume-, Issue-10, Otober 016 Pages 45-51 Hamiltonian of Multipotential Field in Nanorobotis Branko Novakovi, Dubravko Majeti,

### Mirror plane (of molecule) 2. the Coulomb integrals for all the carbon atoms are assumed to be identical. . = 0 : if atoms i and j are non-bonded.

6 Hükel Theory This theory was originally introdued to permit qualitative study of the π-eletron systems in planar, onjugated hydroarbon moleules (i.e. in "flat" hydroarbon moleules whih possess a mirror

### REDUCTION FACTOR OF FEEDING LINES THAT HAVE A CABLE AND AN OVERHEAD SECTION

C I E 17 th International Conferene on Eletriity istriution Barelona, 1-15 May 003 EUCTION FACTO OF FEEING LINES THAT HAVE A CABLE AN AN OVEHEA SECTION Ljuivoje opovi J.. Elektrodistriuija - Belgrade -

### Agile ALM White Paper: Redefining ALM with Five Key Practices

Agile ALM White Paper: Redefining ALM with Five Key Praties by Ethan Teng, Cyndi Mithell and Chad Wathington 2011 ThoughtWorks ln. All rights reserved www.studios.thoughtworks.om Introdution The pervasiveness

### Symmetric Subgame Perfect Equilibria in Resource Allocation

Proeedings of the Twenty-Sixth AAAI Conferene on Artifiial Intelligene Symmetri Subgame Perfet Equilibria in Resoure Alloation Ludek Cigler Eole Polytehnique Fédérale de Lausanne Artifiial Intelligene

### TeeJay Publishers Homework for Level F book Ch 59 - Pythagoras

Chapter 59 Pythagoras Exerise 1 1. Find : Calulators should not be used anywhere in this Chapter unless you are otherwise instruted. (a) 3 2 (b) 5 2 () 2 2 (d) 1 2 (e) 10 2 (f) 9 2 (g) 11 2 (h) 12 2 (i)

### Deadline-based Escalation in Process-Aware Information Systems

Deadline-based Esalation in Proess-Aware Information Systems Wil M.P. van der Aalst 1,2, Mihael Rosemann 2, Marlon Dumas 2 1 Department of Tehnology Management Eindhoven University of Tehnology, The Netherlands

### Computational Analysis of Two Arrangements of a Central Ground-Source Heat Pump System for Residential Buildings

Computational Analysis of Two Arrangements of a Central Ground-Soure Heat Pump System for Residential Buildings Abstrat Ehab Foda, Ala Hasan, Kai Sirén Helsinki University of Tehnology, HVAC Tehnology,

### VOLTAGE CONTROL WITH SHUNT CAPACITANCE ON RADIAL DISTRIBUTION LINE WITH HIGH R/X FACTOR. A Thesis by. Hong-Tuan Nguyen Vu

VOLTAGE CONTROL WITH SHUNT CAPACITANCE ON RADIAL DISTRIBUTION LINE WITH HIGH R/X FACTOR A Thesis by Hong-Tuan Nguyen Vu Eletrial Engineer, Polytehni University of HCMC, 1993 Submitted to the College of

### Intelligent Measurement Processes in 3D Optical Metrology: Producing More Accurate Point Clouds

Intelligent Measurement Proesses in 3D Optial Metrology: Produing More Aurate Point Clouds Charles Mony, Ph.D. 1 President Creaform in. mony@reaform3d.om Daniel Brown, Eng. 1 Produt Manager Creaform in.

### WATER CLOSET SUPPORTS TECHNICAL DATA

WATER CLOSET SUPPORTS TECHNICAL DATA Smith engineers have developed an unusually omplete line of fixture supports for mounting all types of "off the floor" fixtures. Supports have been designed for water

### Suggested Answers, Problem Set 5 Health Economics

Suggested Answers, Problem Set 5 Health Eonomis Bill Evans Spring 2013 1. The graph is at the end of the handout. Fluoridated water strengthens teeth and redues inidene of avities. As a result, at all

### A Holistic Method for Selecting Web Services in Design of Composite Applications

A Holisti Method for Seleting Web Servies in Design of Composite Appliations Mārtiņš Bonders, Jānis Grabis Institute of Information Tehnology, Riga Tehnial University, 1 Kalu Street, Riga, LV 1658, Latvia,

### Capacity at Unsignalized Two-Stage Priority Intersections

Capaity at Unsignalized Two-Stage Priority Intersetions by Werner Brilon and Ning Wu Abstrat The subjet of this paper is the apaity of minor-street traffi movements aross major divided four-lane roadways

### A Comparison of Default and Reduced Bandwidth MR Imaging of the Spine at 1.5 T

9 A Comparison of efault and Redued Bandwidth MR Imaging of the Spine at 1.5 T L. Ketonen 1 S. Totterman 1 J. H. Simon 1 T. H. Foster 2. K. Kido 1 J. Szumowski 1 S. E. Joy1 The value of a redued bandwidth

### Supply chain coordination; A Game Theory approach

aepted for publiation in the journal "Engineering Appliations of Artifiial Intelligene" 2008 upply hain oordination; A Game Theory approah Jean-Claude Hennet x and Yasemin Arda xx x LI CNR-UMR 668 Université

### BENEFICIARY CHANGE REQUEST

Poliy/Certifiate Number(s) BENEFICIARY CHANGE REQUEST *L2402* *L2402* Setion 1: Insured First Name Middle Name Last Name Permanent Address: City, State, Zip Code Please hek if you would like the address

### Intuitive Guide to Principles of Communications By Charan Langton www.complextoreal.com

Intuitive Guide to Priniples of Communiations By Charan Langton www.omplextoreal.om Understanding Frequeny Modulation (FM), Frequeny Shift Keying (FSK), Sunde s FSK and MSK and some more The proess of

### In order to be able to design beams, we need both moments and shears. 1. Moment a) From direct design method or equivalent frame method

BEAM DESIGN In order to be able to design beams, we need both moments and shears. 1. Moment a) From diret design method or equivalent frame method b) From loads applied diretly to beams inluding beam weight

### IEEE TRANSACTIONS ON DEPENDABLE AND SECURE COMPUTING, VOL. 9, NO. 3, MAY/JUNE 2012 401

IEEE TRASACTIOS O DEPEDABLE AD SECURE COMPUTIG, VOL. 9, O. 3, MAY/JUE 2012 401 Mitigating Distributed Denial of Servie Attaks in Multiparty Appliations in the Presene of Clok Drifts Zhang Fu, Marina Papatriantafilou,

### Open and Extensible Business Process Simulator

UNIVERSITY OF TARTU FACULTY OF MATHEMATICS AND COMPUTER SCIENCE Institute of Computer Siene Karl Blum Open and Extensible Business Proess Simulator Master Thesis (30 EAP) Supervisors: Luiano Garía-Bañuelos,

### Fig. 1.1 Rectangular foundation plan.

Footings Example 1 Design of a square spread footing of a seven-story uilding Design and detail a typial square spread footing of a six ay y five ay seven-story uilding, founded on stiff soil, supporting

### State of Maryland Participation Agreement for Pre-Tax and Roth Retirement Savings Accounts

State of Maryland Partiipation Agreement for Pre-Tax and Roth Retirement Savings Aounts DC-4531 (08/2015) For help, please all 1-800-966-6355 www.marylandd.om 1 Things to Remember Complete all of the setions

### 1.3 Complex Numbers; Quadratic Equations in the Complex Number System*

04 CHAPTER Equations and Inequalities Explaining Conepts: Disussion and Writing 7. Whih of the following pairs of equations are equivalent? Explain. x 2 9; x 3 (b) x 29; x 3 () x - 2x - 22 x - 2 2 ; x

### Annual Return/Report of Employee Benefit Plan

Form 5500 Department of the Treasury Internal Revenue Servie Department of Labor Employee Benefits Seurity Administration Pension Benefit Guaranty Corporation Annual Return/Report of Employee Benefit Plan