Exam 3 Results !"#$%&%'()*+(,-./0% 123+#435%%6789:% Approximate Grade Cutoffs Ø A Ø B Ø C Ø D Ø 0 24 F
|
|
- Shannon Pitts
- 6 years ago
- Views:
Transcription
1 Exam 3 Results Approximate Grade Cutos Ø 75-1 A Ø B Ø C Ø 5 34 D Ø 4 F '$!" '#!" '!!" &!" %!" $!" #!"!"!"#$%&%'()*+(,-./% 13+#435%%6789:%!()" )('!" '!(')" ')(#!" #!(#)" #)(*!" *!(*)" *)($!" $!($)" $)()!" )!())" ))(%!" %!(%)" %)(+!" +!(+)" +)(&!" &!(&)" &)(,!",!(,)",)('!!" You can pick them up a/er class today or Wednesday
2 Chapter 14 Last Time Simple harmonic mo%on o a mass- spring system Dieren%al equa%ons and SHM Oscilla%ons in terms o amplitude, period, requency and angular requency Simple harmonic mo%on using energy Today Simple pendulums Physical pendulums Ch 14 Examples Start Ch 15 (i we get to it)
3 Clicker QuesEon Review rom last Monday To double the total energy o a mass- spring system oscilla%ng in simple harmonic mo%on, the amplitude must increase by a actor o A. 4. B. =.88. C.. D. E. = = ka = 1 mv + 1 kx = const. xt ( ) = Acos( ωt+ vt ( ) = Aωsin( ωt+ at A t ( ) = ω cos( ω + φ) ω = π ω = 1 T pend mgd = = I g L
4 SHM and Pendulums For the physical pendulum the CoM is a distance d rom the pivot, then the torque at an angle θ is:! =!d(mgsin") Using the small angle approxima%on we obtain:! =!dmg" so I!! "dmg" α Comparing to the SHM equa%on again gives: d θ dt mgd I = = θ mgd 1 mgd I ω = = T = π I π I mgd
5 SHM and Pendulums The simple pendulum is a special case o the physical pendulum. All the mass is located at a point atached to the end o string o length L. Using this d = L and I = ml mgd mgl g ω = = = I ml L! = g L! = 1 " g L! T = " L g
6 Prelecture: Physical Pendula Problem 1 Wri%ng down Newton's Second Law in the x direc%on or some system results in the equa%on on the right. What is the oscilla%on requency o this system? a d x dt =!b x a) a/b b) a*b c) b/a F x = ma x F x = m d x dt d x dt +! x =
7 Prelecture: Physical Pendula Problem A uniorm s%ck and a mass on a string are used to make two pendula that have the same length. Which one swings with the longer period? a) the mass on the string b) the s%ck c) can't tell without knowing how the masses compare (a)! = mgd I T =! " = = mgl ml = g L 4! L g (b)! = mgd I T =! " = = 4! L 3g mgl 1 3 ml = 3g L
8 Checkpoint: Physical Pendula Problem 1 A simple pendulum is used as the %ming element in a clock as shown. An adjustment screw is used to make the pendulum shorter (longer) by moving the weight up (down) along the sha_ that connects it to the pivot. I the clock is running too ast, the weight needs to be moved a)up b)down T =! L g
9 Checkpoint: Physical Pendula Problem A torsion pendulum is used as the %ming element in a clock as shown. The speed o the clock is adjusted by changing the distance o two small disks rom the rota%on axis o the pendulum. I we adjust the disks so that they are closer to the rota%on axis, the clock runs a) aster Angular SHM: κ = torsion constant b) slower! = " I = 1 # " I T = # I "
10 Checkpoint: Physical Pendula Problem 3 Consider the two pendula shown above. In Case 1 a s%ck o mass M is pivoted at one end and used as a pendulum. In Case a point par%cle o mass M is atached to the center o the same s%ck. In which case is the period o the pendulum the longest? a) Case 1 b) Case c) Same! = mgd I T =! " =! I mgd T 1 =! T =! 1 3 ml mg L =! L 3g! 1! 3 ml + m L $ $ # # & & # " " % & % =! 7L mg L 1g
11 Damped OscillaEons Real-world systems have some dissipative orces that decrease the amplitude. The decrease in amplitude is called damping and the motion is called damped oscillation. The igure at the right illustrates an oscillator with a small amount o damping. The mechanical energy o a damped oscillator decreases continuously. b = km When, the system is critically damped and i b is larger than this it is overdamped A critically or overdamped oscillator returns to equilibrium without oscillating.
12 Example Pendulum on Mars (14.48) A certain simple pendulum has a period on the earth o 1.6 s. What is its period on the surace o Mars where gravity is g mars = 3.71 m/s? xt ( ) = Acos( ωt+ vt ( ) = Aωsin( ωt+ at A t ( ) = ω cos( ω + φ) ω = π = 1 T ω pend mgd g = = I L
13 Clicker QuesEon A simple pendulum consists o a point mass suspended by a massless, unstretchable string. I the mass is doubled while the length o the string remains the same, the period o the pendulum A. becomes 4 %mes greater. B. becomes twice as great. C. becomes greater by a actor o. D. remains unchanged. E. decreases. 1 ka = 1 mv + 1 kx = const. xt ( ) = Acos( ωt+ vt ( ) = Aωsin( ωt+ at A t ( ) = ω cos( ω + φ) ω = π ω = 1 T pend mgd = = I g L
14 Example Physical pendulum (small angle approxima%on)(14.54) A 1.8 kg monkey wrench is pivoted.5 m rom its center o mass and allowed to swing as a physical pendulum. The period or small angle oscilla%ons is.94 s. a) What is the moment o iner%a o the wrench about an axis through the pivot? b) I the wrench is ini%ally displaced.4 rad rom its equilibrium posi%on, what is the angular speed o the wrench as it passes through the equilibrium posi%on? xt ( ) = Acos( ωt+ vt ( ) = Aωsin( ωt+ at A t ( ) = ω cos( ω + φ) ω = π = 1 T ω pend mgd g = = I L
15 Example Physical pendulum (14.57) The two pendulums shown each consist o a uniorm solid ball o mass M supported by a rigid massless rod, but the ball or pendulum A is very small compared to that o pendulum B. Find the period o each pendulum or small displacements. Which ball takes longer to complete a swing? xt ( ) = Acos( ωt+ vt ( ) = Aωsin( ωt+ at A t ( ) = ω cos( ω + φ) ω = π = 1 T ω pend mgd g = = I L
16 Example Pendulums and collisions(14.95) In the igure the upper ball is released rom rest, collides with the sta%onary lower ball, and s%cks to it. The strings are both 5. cm long. The upper ball has mass. kg, and ini%ally 1 cm higher than the lower ball (mass 3. kg). Find the requency and maximum angular displacement o the mo%on a_er the collision. xt ( ) = Acos( ωt+ vt ( ) = Aωsin( ωt+ at A t ( ) = ω cos( ω + φ) ω = π = 1 T ω pend mgd g = = I L
17 Example Energy and momentum in SHM A block o mass M is atached to a horizontal spring with spring constant k and is moving in SHM. As it passes through its equilibrium point a lump o puty o mass m is dropped rom a small height and s%ck to it. Find the new amplitude and period. 1 ka = 1 mv + 1 kx = const. ω = π ω = 1 T pend mgd = = I g L
Chapter 14 Periodic Motion
Chapter 14 Periodic Motion 1 Describing Oscillation First, we want to describe the kinematical and dynamical quantities associated with Simple Harmonic Motion (SHM), for example, x, v x, a x, and F x.
More informationCHAPTER 12 OSCILLATORY MOTION
CHAPTER 1 OSCILLATORY MOTION Before starting the discussion of the chapter s concepts it is worth to define some terms we will use frequently in this chapter: 1. The period of the motion, T, is the time
More informationLast Time: Finish Ch 9 Start Ch 10 Today: Chapter 10
Last Time: Finish Ch 9 Start Ch 10 Today: Chapter 10 Monday Ch 9 examples Rota:on of a rigid body Torque and angular accelera:on Today Solving problems with torque Work and power with torque Angular momentum
More informationOscillations. Oscillations and Simple Harmonic Motion
Oscillations AP Physics C Oscillations and Simple Harmonic Motion 1 Equilibrium and Oscillations A marble that is free to roll inside a spherical bowl has an equilibrium position at the bottom of the bowl
More informationChapter 12. Recall that when a spring is stretched a distance x, it will pull back with a force given by: F = -kx
Chapter 1 Lecture Notes Chapter 1 Oscillatory Motion Recall that when a spring is stretched a distance x, it will pull back with a force given by: F = -kx When the mass is released, the spring will pull
More informationMechanics Oscillations Simple Harmonic Motion
Mechanics Oscillations Simple Harmonic Motion Lana Sheridan De Anza College Dec 3, 2018 Last time gravity Newton s universal law of gravitation gravitational field gravitational potential energy Overview
More informationEssential Physics I. Lecture 9:
Essential Physics I E I Lecture 9: 15-06-15 Last lecture: review Conservation of momentum: p = m v p before = p after m 1 v 1,i + m 2 v 2,i = m 1 v 1,f + m 2 v 2,f m 1 m 1 m 2 m 2 Elastic collision: +
More informationChapter 14. Oscillations. Oscillations Introductory Terminology Simple Harmonic Motion:
Chapter 14 Oscillations Oscillations Introductory Terminology Simple Harmonic Motion: Kinematics Energy Examples of Simple Harmonic Oscillators Damped and Forced Oscillations. Resonance. Periodic Motion
More informationPeriodic Motion. Periodic motion is motion of an object that. regularly repeats
Periodic Motion Periodic motion is motion of an object that regularly repeats The object returns to a given position after a fixed time interval A special kind of periodic motion occurs in mechanical systems
More informationChapter 14. PowerPoint Lectures for University Physics, Thirteenth Edition Hugh D. Young and Roger A. Freedman. Lectures by Wayne Anderson
Chapter 14 Periodic Motion PowerPoint Lectures for University Physics, Thirteenth Edition Hugh D. Young and Roger A. Freedman Lectures by Wayne Anderson Goals for Chapter 14 To describe oscillations in
More informationClassical Mechanics Lecture 22
Classical Mechanics Lecture 22 Today s Concept: Siple Haronic Mo7on: Mo#on of a Pendulu Mechanics Lecture 8, Slide 1 Grading Unit 14 and 15 Ac7vity Guides will not be graded Please turn in:! Unit 14 WriIen
More informationOscillatory Motion SHM
Chapter 15 Oscillatory Motion SHM Dr. Armen Kocharian Periodic Motion Periodic motion is motion of an object that regularly repeats The object returns to a given position after a fixed time interval A
More informationFundamentals Physics. Chapter 15 Oscillations
Fundamentals Physics Tenth Edition Halliday Chapter 15 Oscillations 15-1 Simple Harmonic Motion (1 of 20) Learning Objectives 15.01 Distinguish simple harmonic motion from other types of periodic motion.
More informationClassical Mechanics Lecture 22
Classical Mechanics Lecture 22 Today s Concept: Siple Haronic Mo7on: Mo#on of a Pendulu Mechanics Lecture 8, Slide 1 Your Coents so the oega can stand for both the oscilla7on frequency or angular velocity
More informationChapter 14. PowerPoint Lectures for University Physics, Thirteenth Edition Hugh D. Young and Roger A. Freedman. Lectures by Wayne Anderson
Chapter 14 Periodic Motion PowerPoint Lectures for University Physics, Thirteenth Edition Hugh D. Young and Roger A. Freedman Lectures by Wayne Anderson Exam 3 results Class Average - 57 (Approximate grade
More informationOscillations Simple Harmonic Motion
Oscillations Simple Harmonic Motion Lana Sheridan De Anza College Dec 1, 2017 Overview oscillations simple harmonic motion (SHM) spring systems energy in SHM pendula damped oscillations Oscillations and
More informationAP Physics. Harmonic Motion. Multiple Choice. Test E
AP Physics Harmonic Motion Multiple Choice Test E A 0.10-Kg block is attached to a spring, initially unstretched, of force constant k = 40 N m as shown below. The block is released from rest at t = 0 sec.
More informationSimple and Physical Pendulums Challenge Problem Solutions
Simple and Physical Pendulums Challenge Problem Solutions Problem 1 Solutions: For this problem, the answers to parts a) through d) will rely on an analysis of the pendulum motion. There are two conventional
More informationPhysics 231. Topic 7: Oscillations. Alex Brown October MSU Physics 231 Fall
Physics 231 Topic 7: Oscillations Alex Brown October 14-19 2015 MSU Physics 231 Fall 2015 1 Key Concepts: Springs and Oscillations Springs Periodic Motion Frequency & Period Simple Harmonic Motion (SHM)
More informationChapter 13: Oscillatory Motions
Chapter 13: Oscillatory Motions Simple harmonic motion Spring and Hooe s law When a mass hanging from a spring and in equilibrium, the Newton s nd law says: Fy ma Fs Fg 0 Fs Fg This means the force due
More informationLECTURE 3 ENERGY AND PENDULUM MOTION. Instructor: Kazumi Tolich
LECTURE 3 ENERGY AND PENDULUM MOTION Instructor: Kazumi Tolich Lecture 3 2 14.4: Energy in simple harmonic motion Finding the frequency for simple harmonic motion 14.5: Pendulum motion Physical pendulum
More informationTorque and Simple Harmonic Motion
Torque and Simple Harmonic Motion Recall: Fixed Axis Rotation Angle variable Angular velocity Angular acceleration Mass element Radius of orbit Kinematics!! " d# / dt! " d 2 # / dt 2!m i Moment of inertia
More informationChapter 15. Oscillatory Motion
Chapter 15 Oscillatory Motion Part 2 Oscillations and Mechanical Waves Periodic motion is the repeating motion of an object in which it continues to return to a given position after a fixed time interval.
More informationChapter 15. Oscillations
Chapter 15 Oscillations 15.1 Simple Harmonic Motion Oscillatory Motion: Motion which is periodic in time; motion that repeats itself in time. Examples: SHM: Power line oscillates when the wind blows past.
More informationSimple Harmonic Motion Practice Problems PSI AP Physics B
Simple Harmonic Motion Practice Problems PSI AP Physics B Name Multiple Choice 1. A block with a mass M is attached to a spring with a spring constant k. The block undergoes SHM. Where is the block located
More informationOscillations. PHYS 101 Previous Exam Problems CHAPTER. Simple harmonic motion Mass-spring system Energy in SHM Pendulums
PHYS 101 Previous Exam Problems CHAPTER 15 Oscillations Simple harmonic motion Mass-spring system Energy in SHM Pendulums 1. The displacement of a particle oscillating along the x axis is given as a function
More informationChapter 14: Periodic motion
Chapter 14: Periodic motion Describing oscillations Simple harmonic motion Energy of simple harmonic motion Applications of simple harmonic motion Simple pendulum & physical pendulum Damped oscillations
More informationThe distance of the object from the equilibrium position is m.
Answers, Even-Numbered Problems, Chapter..4.6.8.0..4.6.8 (a) A = 0.0 m (b).60 s (c) 0.65 Hz Whenever the object is released from rest, its initial displacement equals the amplitude of its SHM. (a) so 0.065
More informationOscillations. Phys101 Lectures 28, 29. Key points: Simple Harmonic Motion (SHM) SHM Related to Uniform Circular Motion The Simple Pendulum
Phys101 Lectures 8, 9 Oscillations Key points: Simple Harmonic Motion (SHM) SHM Related to Uniform Circular Motion The Simple Pendulum Ref: 11-1,,3,4. Page 1 Oscillations of a Spring If an object oscillates
More informationω = ω 0 θ = θ + ω 0 t αt ( ) Rota%onal Kinema%cs: ( ONLY IF α = constant) v = ω r ω ω r s = θ r v = d θ dt r = ω r + a r = a a tot + a t = a r
θ (t) ( θ 1 ) Δ θ = θ 2 s = θ r ω (t) = d θ (t) dt v = d θ dt r = ω r v = ω r α (t) = d ω (t) dt = d 2 θ (t) dt 2 a tot 2 = a r 2 + a t 2 = ω 2 r 2 + αr 2 a tot = a t + a r = a r ω ω r a t = α r ( ) Rota%onal
More informationChapter 11. Today. Last Wednesday. Precession from Pre- lecture. Solving problems with torque
Chapter 11 Last Wednesday Solving problems with torque Work and power with torque Angular momentum Conserva5on of angular momentum Today Precession from Pre- lecture Study the condi5ons for equilibrium
More informationChapter 5 Oscillatory Motion
Chapter 5 Oscillatory Motion Simple Harmonic Motion An object moves with simple harmonic motion whenever its acceleration is proportional to its displacement from some equilibrium position and is oppositely
More information!T = 2# T = 2! " The velocity and acceleration of the object are found by taking the first and second derivative of the position:
A pendulum swinging back and forth or a mass oscillating on a spring are two examples of (SHM.) SHM occurs any time the position of an object as a function of time can be represented by a sine wave. We
More informationLAST TIME: Simple Pendulum:
LAST TIME: Simple Pendulum: The displacement from equilibrium, x is the arclength s = L. s / L x / L Accelerating & Restoring Force in the tangential direction, taking cw as positive initial displacement
More informationSimple Harmonic Motion
Simple Harmonic Motion (FIZ 101E - Summer 2018) July 29, 2018 Contents 1 Introduction 2 2 The Spring-Mass System 2 3 The Energy in SHM 5 4 The Simple Pendulum 6 5 The Physical Pendulum 8 6 The Damped Oscillations
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A 4.8-kg block attached to a spring executes simple harmonic motion on a frictionless
More informationOscillations. Simple Harmonic Motion of a Mass on a Spring The equation of motion for a mass m is attached to a spring of constant k is
Dr. Alain Brizard College Physics I (PY 10) Oscillations Textbook Reference: Chapter 14 sections 1-8. Simple Harmonic Motion of a Mass on a Spring The equation of motion for a mass m is attached to a spring
More informationIf rigid body = few particles I = m i. If rigid body = too-many-to-count particles I = I COM. KE rot. = 1 2 Iω 2
2 If rigid body = few particles I = m i r i If rigid body = too-many-to-count particles Sum Integral Parallel Axis Theorem I = I COM + Mh 2 Energy of rota,onal mo,on KE rot = 1 2 Iω 2 [ KE trans = 1 2
More informationChapter 13. Hooke s Law: F = - kx Periodic & Simple Harmonic Motion Springs & Pendula Waves Superposition. Next Week!
Chapter 13 Hooke s Law: F = - kx Periodic & Simple Harmonic Motion Springs & Pendula Waves Superposition Next Week! Review Physics 2A: Springs, Pendula & Circular Motion Elastic Systems F = kx Small Vibrations
More informationChapter 15 Oscillations
Chapter 15 Oscillations Summary Simple harmonic motion Hook s Law Energy F = kx Pendulums: Simple. Physical, Meter stick Simple Picture of an Oscillation x Frictionless surface F = -kx x SHM in vertical
More informationChapter 14 Oscillations. Copyright 2009 Pearson Education, Inc.
Chapter 14 Oscillations Oscillations of a Spring Simple Harmonic Motion Energy in the Simple Harmonic Oscillator Simple Harmonic Motion Related to Uniform Circular Motion The Simple Pendulum The Physical
More informationFinal Review, Day 1. Announcements: Web page:
Announcements: Final Review, Day 1 Final exam next Wednesday (5/9) at 7:30am in the Coors Event Center. Recitation tomorrow is a review. Please feel free to ask the TA any questions on the course material.
More informationChapter 15 Periodic Motion
Chapter 15 Periodic Motion Slide 1-1 Chapter 15 Periodic Motion Concepts Slide 1-2 Section 15.1: Periodic motion and energy Section Goals You will learn to Define the concepts of periodic motion, vibration,
More informationPreClass Notes: Chapter 13, Sections
PreClass Notes: Chapter 13, Sections 13.3-13.7 From Essential University Physics 3 rd Edition by Richard Wolfson, Middlebury College 2016 by Pearson Education, Inc. Narration and extra little notes by
More informationChapter 15 - Oscillations
The pendulum of the mind oscillates between sense and nonsense, not between right and wrong. -Carl Gustav Jung David J. Starling Penn State Hazleton PHYS 211 Oscillatory motion is motion that is periodic
More informationRotational motion problems
Rotational motion problems. (Massive pulley) Masses m and m 2 are connected by a string that runs over a pulley of radius R and moment of inertia I. Find the acceleration of the two masses, as well as
More informationExam Results. Your scores will be posted before midnight tonight. Score Range = Approx. le<er Grade = A = B = C = D 0 34 = F
Exam Results Your scores will be posted before midnight tonight. Score Range = Approx. le
More informationPHYSICS 1 Simple Harmonic Motion
Advanced Placement PHYSICS 1 Simple Harmonic Motion Student 014-015 What I Absolutely Have to Know to Survive the AP* Exam Whenever the acceleration of an object is proportional to its displacement and
More informationPHYSICS - CLUTCH CH 15: PERIODIC MOTION (NEW)
!! www.clutchprep.com CONCEPT: Hooke s Law & Springs When you push/pull against a spring (FA), spring pushes back in the direction. (Action-Reaction!) Fs = FA = Ex. 1: You push on a spring with a force
More informationMass on a Spring C2: Simple Harmonic Motion. Simple Harmonic Motion. Announcements Week 12D1
Simple Harmonic Motion 8.01 Week 1D1 Today s Reading Assignment MIT 8.01 Course Notes Chapter 3 Simple Harmonic Motion Sections 3.1-3.4 1 Announcements Sunday Tutoring in 6-15 from 1-5 pm Problem Set 9
More information8. What is the period of a pendulum consisting of a 6-kg object oscillating on a 4-m string?
1. In the produce section of a supermarket, five pears are placed on a spring scale. The placement of the pears stretches the spring and causes the dial to move from zero to a reading of 2.0 kg. If the
More informationPhysics 211 Spring 2014 Final Practice Exam
Physics 211 Spring 2014 Final Practice Exam This exam is closed book and notes. A formula sheet will be provided for you at the end of the final exam you can download a copy for the practice exam from
More informationOscillations and Waves
Oscillations and Waves Somnath Bharadwaj and S. Pratik Khastgir Department of Physics and Meteorology IIT Kharagpur Module : Oscillations Lecture : Oscillations Oscillations are ubiquitous. It would be
More informationClassical Mechanics Lecture 22
Classical Mechanics Lecture 22 Today s Concept: Siple Haronic Mo7on: Mo#on of a Pendulu Mechanics Lecture 8, Slide 1 Grading Unit 14 and 15 Ac7vity Guides will not be graded Please turn in:! Unit 14 WriEen
More informationReview for Exam 2. Exam Informa+on 11/24/14 Monday 7:30 PM All Sec+ons à MPHY 205 (this room, 30 min a.er class ends) Dura+on à 1 hour 15 min
Review for Exam 2 Exam Informa+on 11/24/14 Monday 7:30 PM All Sec+ons 505-509 à MPHY 205 (this room, 30 min a.er class ends) Dura+on à 1 hour 15 min Ø Know your instructor s name (S+egler) and your sec+on
More informationChapter 13 Lecture. Essential University Physics Richard Wolfson 2 nd Edition. Oscillatory Motion Pearson Education, Inc.
Chapter 13 Lecture Essential University Physics Richard Wolfson nd Edition Oscillatory Motion Slide 13-1 In this lecture you ll learn To describe the conditions under which oscillatory motion occurs To
More informationOSCILLATIONS ABOUT EQUILIBRIUM
OSCILLATIONS ABOUT EQUILIBRIUM Chapter 13 Units of Chapter 13 Periodic Motion Simple Harmonic Motion Connections between Uniform Circular Motion and Simple Harmonic Motion The Period of a Mass on a Spring
More informationUniversity Physics 226N/231N Old Dominion University. Chapter 14: Oscillatory Motion
University Physics 226N/231N Old Dominion University Chapter 14: Oscillatory Motion Dr. Todd Satogata (ODU/Jefferson Lab) satogata@jlab.org http://www.toddsatogata.net/2016-odu Monday, November 5, 2016
More informationLast Time: Chapter 6 Today: Chapter 7
Last Time: Chapter 6 Today: Chapter 7 Last Time Work done by non- constant forces Work and springs Power Examples Today Poten&al Energy of gravity and springs Forces and poten&al energy func&ons Energy
More informationUnit 7: Oscillations
Text: Chapter 15 Unit 7: Oscillations NAME: Problems (p. 405-412) #1: 1, 7, 13, 17, 24, 26, 28, 32, 35 (simple harmonic motion, springs) #2: 45, 46, 49, 51, 75 (pendulums) Vocabulary: simple harmonic motion,
More informationCorso di Laurea in LOGOPEDIA FISICA ACUSTICA MOTO OSCILLATORIO
Corso di Laurea in LOGOPEDIA FISICA ACUSTICA MOTO OSCILLATORIO Fabio Romanelli Department of Mathematics & Geosciences University of Trieste Email: romanel@units.it What is an Oscillation? Oscillation
More informationExam II Difficult Problems
Exam II Difficult Problems Exam II Difficult Problems 90 80 70 60 50 40 30 20 10 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Two boxes are connected to each other as shown. The system is released
More informationSimple Harmonic Motion
Pendula Simple Harmonic Motion diff. eq. d 2 y dt 2 =!Ky 1. Know frequency (& period) immediately from diff. eq.! = K 2. Initial conditions: they will be of 2 kinds A. at rest initially y(0) = y o v y
More informationPhysics 2101 S c e t c i cti n o 3 n 3 March 31st Announcements: Quiz today about Ch. 14 Class Website:
Physics 2101 Section 3 March 31 st Announcements: Quiz today about Ch. 14 Class Website: http://www.phys.lsu.edu/classes/spring2010/phys2101 3/ http://www.phys.lsu.edu/~jzhang/teaching.html Simple Harmonic
More informationLecture XXVI. Morris Swartz Dept. of Physics and Astronomy Johns Hopkins University November 5, 2003
Lecture XXVI Morris Swartz Dept. of Physics and Astronomy Johns Hopins University morris@jhu.edu November 5, 2003 Lecture XXVI: Oscillations Oscillations are periodic motions. There are many examples of
More information本教材僅供教學使用, 勿做其他用途, 以維護智慧財產權
本教材內容主要取自課本 Physics for Scientists and Engineers with Modern Physics 7th Edition. Jewett & Serway. 注意 本教材僅供教學使用, 勿做其他用途, 以維護智慧財產權 教材網址 : https://sites.google.com/site/ndhugp1 1 Chapter 15 Oscillatory Motion
More informationChapter 13 Oscillations about Equilibrium. Copyright 2010 Pearson Education, Inc.
Chapter 13 Oscillations about Equilibrium Periodic Motion Units of Chapter 13 Simple Harmonic Motion Connections between Uniform Circular Motion and Simple Harmonic Motion The Period of a Mass on a Spring
More informationPhysics 41 HW Set 1 Chapter 15 Serway 8 th ( 7 th )
Conceptual Q: 4 (7), 7 (), 8 (6) Physics 4 HW Set Chapter 5 Serway 8 th ( 7 th ) Q4(7) Answer (c). The equilibrium position is 5 cm below the starting point. The motion is symmetric about the equilibrium
More informationSimple Harmonic Motion and Elasticity continued
Chapter 10 Simple Harmonic Motion and Elasticity continued Spring constants & oscillations Hooke's Law F A = k x Displacement proportional to applied force Oscillations position: velocity: acceleration:
More informationLecture 13 REVIEW. Physics 106 Spring What should we know? What should we know? Newton s Laws
Lecture 13 REVIEW Physics 106 Spring 2006 http://web.njit.edu/~sirenko/ What should we know? Vectors addition, subtraction, scalar and vector multiplication Trigonometric functions sinθ, cos θ, tan θ,
More informationPhysics 207 Lecture 25. Lecture 25. HW11, Due Tuesday, May 6 th For Thursday, read through all of Chapter 18. Angular Momentum Exercise
Lecture 5 Today Review: Exam covers Chapters 14-17 17 plus angular momentum, rolling motion & torque Assignment HW11, Due Tuesday, May 6 th For Thursday, read through all of Chapter 18 Physics 07: Lecture
More informationCh 15 Simple Harmonic Motion
Ch 15 Simple Harmonic Motion Periodic (Circular) Motion Point P is travelling in a circle with a constant speed. How can we determine the x-coordinate of the point P in terms of other given quantities?
More informationVibrations Qualifying Exam Study Material
Vibrations Qualifying Exam Study Material The candidate is expected to have a thorough understanding of engineering vibrations topics. These topics are listed below for clarification. Not all instructors
More informationPhysics 1C. Lecture 12B
Physics 1C Lecture 12B SHM: Mathematical Model! Equations of motion for SHM:! Remember, simple harmonic motion is not uniformly accelerated motion SHM: Mathematical Model! The maximum values of velocity
More informationChapter 4. Oscillatory Motion. 4.1 The Important Stuff Simple Harmonic Motion
Chapter 4 Oscillatory Motion 4.1 The Important Stuff 4.1.1 Simple Harmonic Motion In this chapter we consider systems which have a motion which repeats itself in time, that is, it is periodic. In particular
More informationSimple Harmonic Motion Test Tuesday 11/7
Simple Harmonic Motion Test Tuesday 11/7 Chapter 11 Vibrations and Waves 1 If an object vibrates or oscillates back and forth over the same path, each cycle taking the same amount of time, the motion is
More informationMass on a Horizontal Spring
Course- B.Sc. Applied Physical Science (Computer Science) Year- IInd, Sem- IVth Subject Physics Paper- XIVth, Electromagnetic Theory Lecture No. 22, Simple Harmonic Motion Introduction Hello friends in
More informationImportant because SHM is a good model to describe vibrations of a guitar string, vibrations of atoms in molecules, etc.
Simple Harmonic Motion Oscillatory motion under a restoring force proportional to the amount of displacement from equilibrium A restoring force is a force that tries to move the system back to equilibrium
More information4 A mass-spring oscillating system undergoes SHM with a period T. What is the period of the system if the amplitude is doubled?
Slide 1 / 52 1 A block with a mass M is attached to a spring with a spring constant k. The block undergoes SHM. Where is the block located when its velocity is a maximum in magnitude? A 0 B + or - A C
More informationSimple Harmonic Motion Practice Problems PSI AP Physics 1
Simple Harmonic Motion Practice Problems PSI AP Physics 1 Name Multiple Choice Questions 1. A block with a mass M is attached to a spring with a spring constant k. The block undergoes SHM. Where is the
More informationStatic Equilibrium, Gravitation, Periodic Motion
This test covers static equilibrium, universal gravitation, and simple harmonic motion, with some problems requiring a knowledge of basic calculus. Part I. Multiple Choice 1. 60 A B 10 kg A mass of 10
More informationClassical Mechanics Lecture 21
Classical Mechanics Lecture 21 Today s Concept: Simple Harmonic Mo7on: Mass on a Spring Mechanics Lecture 21, Slide 1 The Mechanical Universe, Episode 20: Harmonic Motion http://www.learner.org/vod/login.html?pid=565
More informationPhysics Mechanics. Lecture 32 Oscillations II
Physics 170 - Mechanics Lecture 32 Oscillations II Gravitational Potential Energy A plot of the gravitational potential energy U g looks like this: Energy Conservation Total mechanical energy of an object
More informationOSCILLATIONS.
OSCILLATIONS Periodic Motion and Oscillatory motion If a body repeats its motion along a certain path, about a fixed point, at a definite interval of time, it is said to have a periodic motion If a body
More informationWelcome back to Physics 215. Review gravity Oscillations Simple harmonic motion
Welcome back to Physics 215 Review gravity Oscillations Simple harmonic motion Physics 215 Spring 2018 Lecture 14-1 1 Final Exam: Friday May 4 th 5:15-7:15pm Exam will be 2 hours long Have an exam buddy
More informationOscillatory Motion and Wave Motion
Oscillatory Motion and Wave Motion Oscillatory Motion Simple Harmonic Motion Wave Motion Waves Motion of an Object Attached to a Spring The Pendulum Transverse and Longitudinal Waves Sinusoidal Wave Function
More information15 OSCILLATIONS. Introduction. Chapter Outline Simple Harmonic Motion 15.2 Energy in Simple Harmonic Motion
Chapter 15 Oscillations 761 15 OSCILLATIONS Figure 15.1 (a) The Comcast Building in Philadelphia, Pennsylvania, looming high above the skyline, is approximately 305 meters (1000 feet) tall. At this height,
More informationFaculty of Computers and Information. Basic Science Department
18--018 FCI 1 Faculty of Computers and Information Basic Science Department 017-018 Prof. Nabila.M.Hassan 18--018 FCI Aims of Course: The graduates have to know the nature of vibration wave motions with
More informationThe object of this experiment is to study systems undergoing simple harmonic motion.
Chapter 9 Simple Harmonic Motion 9.1 Purpose The object of this experiment is to study systems undergoing simple harmonic motion. 9.2 Introduction This experiment will develop your ability to perform calculations
More informationPhysics 8 Friday, October 20, 2017
Physics 8 Friday, October 20, 2017 HW06 is due Monday (instead of today), since we still have some rotation ideas to cover in class. Pick up the HW07 handout (due next Friday). It is mainly rotation, plus
More informationPhysics 101: Lecture 15 Torque, F=ma for rotation, and Equilibrium
Physics 101: Lecture 15 Torque, F=ma for rotation, and Equilibrium Strike (Day 10) Prelectures, checkpoints, lectures continue with no change. Take-home quizzes this week. See Elaine Schulte s email. HW
More informationMidterm 3 Review (Ch 9-14)
Midterm 3 Review (Ch 9-14) PowerPoint Lectures for University Physics, Twelfth Edition Hugh D. Young and Roger A. Freedman Lectures by James Pazun Copyright 2008 Pearson Education Inc., publishing as Pearson
More informationRutgers University Department of Physics & Astronomy. 01:750:271 Honors Physics I Fall Lecture 20 JJ II. Home Page. Title Page.
Rutgers University Department of Physics & Astronomy 01:750:271 Honors Physics Fall 2015 Lecture 20 Page 1 of 31 1. No quizzes during Thanksgiving week. There will be recitation according to the regular
More information11/17/10. Chapter 14. Oscillations. Chapter 14. Oscillations Topics: Simple Harmonic Motion. Simple Harmonic Motion
11/17/10 Chapter 14. Oscillations This striking computergenerated image demonstrates an important type of motion: oscillatory motion. Examples of oscillatory motion include a car bouncing up and down,
More information= y(x, t) =A cos (!t + kx)
A harmonic wave propagates horizontally along a taut string of length L = 8.0 m and mass M = 0.23 kg. The vertical displacement of the string along its length is given by y(x, t) = 0. m cos(.5 t + 0.8
More information5.6 Unforced Mechanical Vibrations
5.6 Unforced Mechanical Vibrations 215 5.6 Unforced Mechanical Vibrations The study of vibrating mechanical systems begins here with examples for unforced systems with one degree of freedom. The main example
More informationSimple Harmonic Motion
3/5/07 Simple Harmonic Motion 0. The Ideal Spring and Simple Harmonic Motion HOOKE S AW: RESTORING FORCE OF AN IDEA SPRING The restoring force on an ideal spring is F x k x spring constant Units: N/m 3/5/07
More informationTOPIC E: OSCILLATIONS EXAMPLES SPRING Q1. Find general solutions for the following differential equations:
TOPIC E: OSCILLATIONS EXAMPLES SPRING 2019 Mathematics of Oscillating Systems Q1. Find general solutions for the following differential equations: Undamped Free Vibration Q2. A 4 g mass is suspended by
More informationLectures Chapter 10 (Cutnell & Johnson, Physics 7 th edition)
PH 201-4A spring 2007 Simple Harmonic Motion Lectures 24-25 Chapter 10 (Cutnell & Johnson, Physics 7 th edition) 1 The Ideal Spring Springs are objects that exhibit elastic behavior. It will return back
More informationUnforced Oscillations
Unforced Oscillations Simple Harmonic Motion Hooke s Law Newton s Second Law Method of Force Competition Visualization of Harmonic Motion Phase-Amplitude Conversion The Simple Pendulum and The Linearized
More information