1 Page

# oscillation_summary

Course Number: PHYSICS 1B 1b, Winter 2010

College/University: UCLA

Word Count: 177

Rating:

###### Document Preview

Oscillations Summary Free Oscillations: Dierential Equation: Solution: d2 x dt2 + 2x = 0 x(t) = A cos(t + ) Common Oscillators: Mass on Spring: Simple Pendulum: Physical Pendulum: Uncommon Oscillators: Damped Oscillations: Solution: x(t) = A0 e 2m cos(t + ) A(t) = A0 e 2m = 2 0 ( 2b )2 m bt bt 0 = 0 = k m g L mgd I 0 = Use Forces or Work/Energy to obtain 0 The amplitude is time-dependent !...

##### Unformatted Document Excerpt
Coursehero >> California >> UCLA >> PHYSICS 1B 1b

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Summary Oscillations Free Oscillations: Dierential Equation: Solution: d2 x dt2 + 2x = 0 x(t) = A cos(t + ) Common Oscillators: Mass on Spring: Simple Pendulum: Physical Pendulum: Uncommon Oscillators: Damped Oscillations: Solution: x(t) = A0 e 2m cos(t + ) A(t) = A0 e 2m = 2 0 ( 2b )2 m bt bt 0 = 0 = k m g L mgd I 0 = Use Forces or Work/Energy to obtain 0 The amplitude is time-dependent ! Frequency Shift ! System at oscillates Classication: if is real, the system is underdamped. If it is imaginary, the system is overdamped. If it is zero, the system is critically damped. Energy (Lightly Damped): E = 1 kA(t)2 2 Driven Oscillations: Solution: x(t) = F0 2 m2 (0 2 )2 +(b )2 (or similar) cos( t + ) is the angular frequency of the driver. Phase dierence between driver and oscillation: resonant = 0 b 1 2( 2m0 )2 tan( ) = b 2 m(0 2 )

Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

UCLA - PHYSICS 1B - 1b
Physics 1B: E-Field from a Point-Source Integral E-Field of a Plane of Charge 1 ProblemUsing the remote-point-source expression for the electric eld (rather than Gausss law), solve for the electric eld everywhere surrounding an innite plane with surface
Villanova - ACT - 4672
NovaSoutheasternUniversityH.WayneHuizengaSchoolofBusiness&amp;EntrepreneurshipAssignment for Course: ACT 5741Submitted to:Susan SparisSubmitted by:Andrew VeraN00936170335 Collins Ave305-890-7454(Home phone number)DateofSubmission:12/30/11TitleofA
Villanova - ACT - 4672
NovaSoutheasternUniversityH.WayneHuizengaSchoolofBusiness&amp;EntrepreneurshipAssignment for Course: ACT 5741Submitted to:Susan SparisSubmitted by:Andrew VeraN00936170335 Collins Ave305-890-7454(Home phone number)DateofSubmission:12/25/11TitleofA
Villanova - ACT - 4672
NovaSoutheasternUniversityH.WayneHuizengaSchoolofBusiness&amp;EntrepreneurshipAssignment for Course: ACT 5741Submitted to:Susan SparisSubmitted by:Andrew VeraN00936170335 Collins Ave305-890-7454(Home phone number)DateofSubmission:3/8/11TitleofAss
SUNY Stony Brook - CSE - 303
CSE303Q4SOLUTIONS Summer 2009YES/NO questions 1. The set of terminals is always non- empty Justify: Finite set can be empty 2. L(G) = cfw_w V : S G w Justify: w 3. Any regular language is context-free Justify: 1. Any Finite Automata is a PDF automata 2
SUNY Stony Brook - CSE - 303
CSE303Q1SOLUTIONS Summer 2009PART 1: YES/NO QUESTIONS SHORT justification.Circle the correct answer. Write1. 2cfw_1,2 cfw_1, 2 = Justify: cfw_1, 2 cfw_1, 2 i.e. cfw_1, 2 2cfw_1,2 .y2. Some R A B are functions that map A into B. Justify: Functions a
SUNY Stony Brook - CSE - 303
CSE303Q2SOLUTIONS Summer 2009PART 1: YES/NO QUESTIONS Circle the correct answer. Write SHORT justification. Answers without justification will not receive credit. 1. The set F of final states of any deterministic finite automaton is always non-empty. J
SUNY Stony Brook - CSE - 303
CSE303Q3 SOLUTIONSSummer 2009YES/NO questions Circle the correct answer. Write SHORT justification. 1. For any language L , = there is a deterministic automata M , such that L = L(M ). Justify: only when L is regular 2. Any regular language has a finit
SUNY Stony Brook - CSE - 303
CSE303Q3 PRACTICE SOLUTIONSYES/NO questions Circle the correct answer. Write SHORT justication.1. For any nite language L there is a deterministic automata M , suchthat L = L(M ).Justify: Any nite language is regulary2. Any regular language is nite
SUNY Stony Brook - CSE - 303
CSE303Q1SOLUTIONSPART 1:YES/NO QUESTIONSSHORT justication.Circle the correct answer. Write1. 2cfw_1,2 cfw_1, 2 = Justify: cfw_1, 2 cfw_1, 2 i.e. cfw_1, 2 2cfw_1,2 .y2. Some R A B are functions that map A into B .Justify: Functions are special t
Bangladesh Agricultural University - ERGO - 102
1Index1. Executive Summary .32. The Importance of Ergonomic Design .33. General Ergonomic Design Principles .43.1. Standards for Ergonomic Chair Design.43.2. Standards for Computer Table Design .54. Ergonomics for Children.64.1. Children Computer
Columbia - IEORIEORIE - 4004
IEOR 4404SimulationProf. Mariana Olvera-CraviotoAssignment #1September 7, 2008Page 1 of 1Assignment #1 due September 16th, 20081. (From Ross) The following data yield the arrival times and service times that each customerwill require, for the rst
Columbia - IEORIEORIE - 4004
IEOR 4404SimulationProf. Mariana Olvera-CraviotoAssignment #1 SolutionsOctober 2, 2008Page 1 of 4Assignment #1 Solutions1. (a) To compute the departure times of the 13 customers, we proceed as follows. First notethat A1 = 12 and S1 = 40. Thus, the
Columbia - IEORIEORIE - 4004
IEOR 4404SimulationProf. Mariana Olvera-CraviotoAssignment #2September 17, 2008Page 1 of 2Assignment #2 due September 23rd, 20081. Suppose that X and Y are jointly discrete random variables with x + y , for x = 0, 1, 2 and y = 0, 1, 2, 330p(x, y
Columbia - IEORIEORIE - 4004
IEOR 4404SimulationProf. Mariana Olvera-CraviotoAssignment #2 Solutions3rd October 2008Page 1 of ?Assignment #2 Solutions61. (a) pX (x) = 3=0 p(x, y ) for x = 0,1,2 and 0 otherwise. Thus, pX (0) = 30 , pX (1) = 10 andy303pX (2) = 14 . pY (y )
Columbia - IEORIEORIE - 4004
IEOR 4404SimulationProf. Mariana Olvera-CraviotoAssignment #3September 23, 2008Page 1 of 1Assignment #3 due September 30th, 20081. If x0 = 5 andxn = 2xn1 mod(150)nd x1 , . . . , x10 .2. Use simulation to approximate the following integrals. Comp
Columbia - IEORIEORIE - 4004
IEOR 4404SimulationProf. Mariana Olvera-CraviotoAssignment #3 SolutionsOctober 15, 2008Page 1 of 4Assignment #3 Solutions1. x1 = 10, x2 = 20, x3 = 40, x4 = 80, x5 = 10, x6 = 20, x7 = 40, x8 = 80, x9 = 10, x10 = 20.2. (a) Using the substitution u =
Columbia - IEORIEORIE - 4004
IEOR 4404SimulationProf. Mariana Olvera-CraviotoAssignment #4October 1, 2008Page 1 of 2Assignment #4 due October 7th, 20081. Give inverse-transform, acceptance-rejection, and composition algorithms for generating fromeach of the following densitie
Columbia - IEORIEORIE - 4004
IEOR 4404SimulationProf. Mariana Olvera-CraviotoAssignment #4 Solutions20th October 2008Page 1 of 4Assignment #4 Solutions1. (a) Inverse transform:0,F (x) = 1 (x3 + 1),21,if x &lt; 1,if 1 x &lt; 1,if x 1Therefore, we see that the inverse function
Columbia - IEORIEOR - 3608
IEOR 3106: Introduction to Operations Research: Stochastic ModelsFall 2006, Professor Whitt, Final ExamChapters 4-7 and 10 in Ross, Tuesday, December 19, 4:10pm-7:00pmOpen Book: but only the Ross textbook, three 8 11 pages of notes, andthe class lectu
Columbia - IEORIEOR - 3608
IEOR 3106 Solutions to Midterm Exam I1. (40 points) A small business sells professional digital cameras one by one. Onany given day, either a camera is delivered to them from the factory (causing theinventory level to go up by 1) with probability p = 0
Southwestern College - BUSINESS - 245
DeVry UniversityStudent Lab ActivityBIS245 Database Essentials for Business with LabA. Student Name:Edward HernandezB. Lab 1 Part C Questions:1. Entities in the conceptual model eventually are converted to tables in the database,and the attributes
American Public University - CHFD - 212
Question 1 (Multiple Choice Worth 3.33 points)Muscular control in an infant birth to four months begins with:the head and neckbegins with the shouldersbegins with the hands and feetbegins with the torsoQuestion 2 (Multiple Choice Worth 3.33 points)
UCLA - AH - 55B
UCLA - AH - 55B
Laura MadeoApril 23, 2011Helen Ellis T.A.Article Summaries/Notes for Week 5Death and the Journey Through Xibalba-Depictions on objects of all types treat the whole processes of death from the soulsentrance into the Maya Hell (Xibalba) to a final apo
Albany Medical College - PATHOLOGY - 122
Medical Students AmnesiaA transient selective loss of memory during an examthat prevents one from remembering the eponymically-named diseases discovered by old, dead doctors.Addisons Disease1.Primary adrenocortical deficiencyAddisonian Anemia2.Per
University of Phoenix - HCA 210 - HCA 210
Week Five: Health Care CostsDQ 1To be eligible for Medicare people will have to be 65 or older. Persons under 65 withhave disabilities, and who has end-stage renal diseaseMedicare has two parts to the insurance the first part is Part A hospital insura
Century College - COMPUTER S - TCS402
APPENDIXA.0 Impact of Design and Coding Techniques on Software Reliability. Software design characteristics and techniques are more dynamic for software than for hardware, however, just as with hardware, there is a definite correlation between design tec
Century College - COMPUTER S - TCS402
SYSTEM AND SOFTWARE RELIABILITY ASSURANCE NOTEBOOKProduced For Rome Laboratory By Peter B. Lakey, McDonnell Douglas Corporation, St. Louis, MO Ann Marie Neufelder, SoftRel, Hebron, KYFSC-RELIFOREWORD This notebook provides a reliability assurance metho
Century College - COMPUTER S - TCS402
SYSTEM AND SOFTWARE RELIABILITY ASSURANCE NOTEBOOKProduced For Rome Laboratory By Peter B. Lakey, McDonnell Douglas Corporation, St. Louis, MO Ann Marie Neufelder, SoftRel, Hebron, KYFSC-RELIFOREWORD This notebook provides a reliability assurance metho
Century College - COMPUTER S - TCS402
5.0 HARDWARE/SOFTWARE SYSTEM RELIABILITY MODELINGReliability modeling of combined hardware and software systems is in many ways analogous to reliability modeling of purely hardware systems. Reliability block diagrams of system elements are developed and
Century College - COMPUTER S - TCS402
7.0 PREDICTIONReliability prediction is useful in a number of ways. A prediction methodology provides a uniform, reproducible basis for evaluating potential reliability during the early stages of a project. Predictions assist in evaluating the feasibilit
Century College - COMPUTER S - TCS402
9.0 OPERATIONAL PROFILESSimilar to hardware, software performance is significantly dependent on the environment in which it operates. The similarity ends there. With hardware, the environment physically changes a piece of equipment. This physical change
Century College - COMPUTER S - TCS402
9 Hardware ReliabilityIrene Eusgeld1 , Bernhard Fechner2 , Felix Salfner3 , Max Walter4 , Philipp Limbourg6,and Lijun Zhang51Swiss Federal Institute of Technology (ETH), Zurich, Switzerland2University of Hagen, Germany3Humboldt University Berlin,
Century College - COMPUTER S - TCS402
IEEE TRANSACTIONS ON RELIABILITY, VOL. 55, NO. 4, DECEMBER 2006571Reliability Modeling of Hardware and SoftwareInteractions, and Its ApplicationsXiaolin Teng, Hoang Pham, Fellow, IEEE, and Daniel R. JeskeAbstractWe classify system failures into three
Century College - COMPUTER S - TCS402
4.0 OVERVIEWReliability assurance of combined hardware and software systems requires implementation of a thorough, integrated set of reliability modeling, allocation, prediction, estimation and test tasks. These tasks allow on-going evaluation of the rel
Century College - COMPUTER S - TCS402
6.0 RELIABILITY ALLOCATIONReliability Allocation deals with the setting of reliability goals for individual subsystems such that a specified reliability goal is met and the hardware and software subsystem goals are wellbalanced among themselves. Well-bal
Century College - COMPUTER S - TCS402
8.0 RELIABILITY GROWTH AND DEMONSTRATION TESTINGReliability growth testing is performed to assess current reliability, identify and eliminate faults, and forecast future reliability. The reliability figures are compared with intermediate reliability obje
Century College - CIVIL ENGI - MDA001
Century College - CIVIL ENGI - MDA001
DEVELOPMENTOFMEERUTAS;POSITIVEURBANMAGNETWITHACTIVITIESTOATTRACTSOCIOECONOMICINPUTSFROMCENTRAL,STATEGOVT;NCR&amp;NCTDTOMAKEASTRONGECONOMICBASEFORSURROUNDINGAREASINC.DELHICOMPLETEWITHPHYSICAL,TRAFFIC&amp;TRANSPORTATION,SOCIOECONOMIC,ECOLOGICAL,EMERGENCY&amp;C
Century College - CIVIL ENGI - MDA001
Century College - CIVIL ENGI - MDA001
Presentation onURBAN TRANSPORTATION PLANFORMEERUT CITYPresentation by:Meerut Development AuthorityMeerut City An OverviewMeerutHistorical city - dating back to Ramayana and Mahabharata.In 1806 the cantonment was established.Declared as District
Century College - CIVIL ENGI - MDA001
esjB fodkl izkf/kdj.kflfoy ykbUl] fodkl Hkou] esjB &amp; 250002 mkj izns'kdjks u;s thoudk 'kqHkkjEHkfMQsUl ,Udyso ds laxiathdj.k frfFk11&amp;3&amp;2011 ls 29&amp;3&amp;2011 rdfMQsUl ,Udyso vkoklh; ;kstukds ikWdsV ch esa fLFkr O;olkf;d&amp;de&amp;vkoklh; Js.kh ds Hkw[k.Mksa d
Century College - CIVIL ENGI - MDA001
UC Irvine - BIO SCI - Mentor
HANDBOOKFOR STUDENTS2010 - 2011Table of ContentsProgram Overview .1-4Roles and Expectations. .5-8Activities and Calendar.9-10Action Plan and Form.11-21Stanford University Career Development Center Assessment Tool KitStudent Assessment FormSample
NYU - BUS - 123
12345678910111213141516171819202122232425261234567891011121314151617181920212223
Wilfrid Laurier - BUSINESS - bu383
Chapter 27: ShortTerm Finance and Planning27.1Start with the basic balance sheet equation, and substitute known definitions:Assets = Liabilities + EquityCurrent Assets + Fixed Assets = Current Liabilities + LongTerm Debt + EquitySince Net Working Cap
Wilfrid Laurier - BUSINESS - bu383
Chapter 28: Cash Management28.1Yes. Once a firm has more cash than it needs for operations and planned expenditures, theexcess cash has an opportunity cost. It could be invested (by shareholders) in potentially moreprofitable ways.If it has too much
UMBC - ENGLISH - 101
Benice.O.DobbinsProfessor JeongWRTG 101XSeptember 18, 2010Nigeria and United States of American is two different countries in some ways. Nigeria is one ofthe third world countries, due to the way the country is being handled by the government. United
University of Phoenix - AED-222 - aed-222
FiveStagesofHumanFiveStagesofHumanDevelopmentByMarch27,2009Stage102YearsBasicTrustvs.Stage102YearsBasicTrustvs.MistrustWhenparentsorcarersprovideconsistentcareandrespondconsistentlytoaninfantscries,thechildlearnsthathecantrustinhisparentsorcarers
Penn State - ENGL 015 - 288898
October 04, 2010United NationsDear Personnel Recruiter:I am very interested in the position that is available at the United Nations. Currently I ama graduated from Penn State University with a major in Economics/FrenchMy courses in Finance, economics
Penn State - ENGL 015 - 288898
Whydoyouwanttoworkforthiscompany?IhavealwaysbeenthetypeofpersonwhowantedtobeinvolvedinnewexperiencessothatI couldgainknowledgeinareasthatinterestme.Ifeellikebeingapartofyourcompany(PNC,WellsFargo)willgivemethechanceIneed.IalsobelievethatIwillbeagoodass
University of Phoenix - HEALTH ADM - 220
JSBMHA and HIPAA Case StudyDashia FordHSM/230JUNE 02,2011Brandi A. JOHNSONHIPAA for the first time creates national standards to protect individualspersonal, medical records and personal health information. It gives patients morecontrol over their
Central Texas College - SOFTWARE - 11
Proyecto de CompiladoresCrear un traductor para un lenguaje de programacin que permita describir una red decomputadoras. Slo se podrn utilizar los siguientes componentes: concentradores,computadoras, cable coaxial y cable UTP; las topologas a utilizar
Central Texas College - SOFTWARE - 11
Traductores, Compiladores e Intrpretes1Tema 7Generacin de CdigoEn el modelo de anlisis y sntesis de un compilador, la etapa inicial traduce un programafuente a una representacin intermedia a partir de la cual la etapa final genera el cdigo objeto.Lo
Central Texas College - SOFTWARE - 11
El Libro Negro del Hacker(Versin Digital)Por: Black Hack (El hacker Negro)Fascinante obra digital equivalente a ms de 1.000 pginas escritas.Recorrido completo y profundo por el Mundo Hacker: su esencia, susprocedimientos y mtodos, herramientas, progr
Central Texas College - SOFTWARE - 11
Hola Amigo! :Me llaman Black Hack, o El Hacker Negro.He accedido a que los amigos de Ediciones Hacker-Colombia publiquen porprimera vez esta edicin de El Libro Negro del Hacker, que es primicia enLatinoamrica, porque me han garantizado que no pretende
Central Texas College - SOFTWARE - 11
1Sans Institute publica un documento en el que se describen los diez problemas de seguridad mscrticos y habituales en Internet -actualmente-, con el fin de que los administradores de sistemascierren los problemas ms comunes y ms habitualmente utilizado
Central Texas College - SOFTWARE - 11
El siguiente es un texto orientado a los administradores de redAgujeros de seguridad fsicosCuando el problema potencial, es debido al hecho de dar a personas, sin autorizacin,acceso fsico a la mquina, siempre que esto les permita realizar cosas que no
Central Texas College - SOFTWARE - 11
CmosPwd 2.4 is a cmos/bios password recovery tool.It's freeware. You can freely distribute it.Bios and historyAcer/IBM 1.3AMI BIOS 1.0AMI WinBIOS (12/15/93) 1.4dAMI WinBIOS 2.5 1.0Award 4.5x 1.0 &amp; 1.4c &amp; 2.3Compaq (1992) 1.0Compaq (Try.) 1.4Dell
Central Texas College - SOFTWARE - 11
_ _ _ _ _ _ / / \ / / | | /\ / \ / |_ |_ / |_ |_ | | | | |_ / |_ | | | | | | | | |-| | | | | | | \_ \_ \|/ | | | | \_ - MicroBest Cracklock - - Version 3.0 - - for Windows 95/98/NT - - English - 32 bits - - Last revision: 08/02/98 -OVERVIEW=C