SIMPLE HARMONIC MOTION
|
|
- Gordon Carpenter
- 5 years ago
- Views:
Transcription
1 SIMPLE HARMONIC MOTION Challenging MCQ questions by The Physics Cafe Compiled and selected by The Physics Cafe
2 1 Fig..1 shows a device for measuring the frequency of vibrations of an engine. The rigid metal probe and case is held against the engine so that the engine vibrations induce forced vibrations of the strip in the direction shown. Fig..1 The length L of the strip which is free to vibrate can be varied until a maximum amplitude is observed. The frequency corresponding to L can then be read from the scale. (a) (i) State what will be observed as the length L of the strip that is free to move (b) is gradually increased from a small value..... Explain why this happens. [] In one test, the end of the strip oscillated with simple harmonic motion of amplitude 5.0 mm at a frequency of 1 Hz. (i) record of frequency length of strip free to vibrate L movable strip Define simple harmonic motion. probe plate with markings to enable amplitude measurements engine direction of oscillation ThePhysicsCafe [] [1] P a g e
3 Determine for the end of the strip, 1. its maximum speed. its maximum acceleration maximum speed = m s -1 (c) maximum acceleration = m s - [3] The free end of the vibrating strip is an antinode and the end near the probe is a node. When the natural frequency of the strip is 1 Hz, the length L of the strip that is free to vibrate is 16 cm. This has been plotted for you in Fig... Sketch a graph on Fig.., showing how the length L varies with natural frequency of vibration of the strip. [] length free to vibrate/ cm Fig.. frequency/ Hz 3 P a g e
4 Ans (a) (i) The amplitude increases to a maximum and then decreases. B1 The strip has a natural frequency which depends on its length. Maximum amplitude when the frequency of engine vibration equals to the natural frequency of the length of strip free to vibrate. (b) (i) The magnitude of the acceleration is proportional to the displacement from its equilibrium position and is directed opposite to the displacement/ directed towards the equilibrium position (c) 1 1. maximum speed = B1 B1 xo fxo m s C1 A1. maximum acceleration = x fx o o B1 B m s A1 v The length L is equivalent to ¼ wavelength L Lf constant = f Graph shows inverse relationship. Curve must pass through at least 3 points with Lf = 16 x 1, such as (6, 3), (16, 1) and (4, 8). ThePhysicsCafe M1 A1 4 P a g e
5 A mass of mass m was suspended from the bottom of a vertical spring, and set into oscillation with a period T. Measurements were made, and the resultant force F acting on the mass, and its velocity v were obtained. The graphs below were then plotted to show how F and v vary with the displacement x of the mass from its equilibrium position. F/ N v/ m s x/m x/m Calculate: (a) the period of the oscillation, and -1. (b) the mass m. [4] 5 P a g e
6 Ans (a) From nd graph, v0 = x0 = x0 T (b) x 0 T = v = 1. =.4 s From 1 st graph, Fmax = m x0 Fmax m = x0 T 0.63 = = 0.0 kg ThePhysicsCafe 6 P a g e
7 3 A toy car s wheel is set up as a pendulum by hanging it vertically from a fixed support. The wheel oscillates about the fixed support as illustrated in Fig Fig. 8.1 The variation with displacement x of the acceleration a of the wheel is shown in Fig. 8.. a 0 x (a) (i) Fig. 8. Use Fig. 8. to explain why the motion of the wheel is simple harmonic [3] State a condition that must be satisfied for the oscillation of the wheel to be simple harmonic [1] (b) The wheel in Fig. 8.1 is displaced and released at time t = 0. The oscillations of the wheel have amplitude 14.7 cm and angular frequency.40 rad s -1. (i) Define angular frequency... 7 P a g e
8 [1] State an expression for the displacement x of the wheel in terms of time t. (iii)..[1] Use your expression in (b) to sketch the variation of the kinetic energy of the wheel EK with time t for one complete oscillation in Fig 8.3. [] Fig. 8.3 (c) The angular frequency value stated in (b) is calculated from the period of the simple harmonic motion. An accurate value for the period is found by timing a large number of oscillations. (i) E k/j 0 Explain why a large number of oscillations would help to achieve a more accurate value for the period.....[1] Calculate the number of oscillations that are measured in a total time of 83.8 s. number of oscillations = [] (iii) A stopwatch with display provides timing to 1/100 th of a second over a range of 9 hours, 59 minutes and seconds was used to record the duration of the oscillations in (c). Explain why the duration of the oscillations in (c) is recorded to 0.1 seconds. ThePhysicsCafe t/s 8 P a g e
9 [1] (d) In order to time the oscillations of the wheel in Fig. 8.1, a stopwatch is started when the centre of the wheel passes a marker. This marker is.7 cm from the equilibrium position as shown in Fig cm.7 cm marker (i) Fig. 8.4 The wheel has a mass of kg. Calculate the restoring force acting on the wheel as it passes the marker. restoring force = N [] Calculate the speed of the wheel at the instant it passes the marker. speed m s -1 [] 9 P a g e
10 (e) In an experiment to demonstrate resonance, the wheel in Fig. 8.1 is made to oscillate by an external periodic driving force of frequency f. Fig. 8.5 shows the variation with frequency f of the amplitude of the forced oscillations of the wheel. (i) amplitude Fig. 8.5 Describe how the amplitude of oscillation depends on the forcing frequency [] Sketch in Fig. 8.5 the shape of the graph if the forced oscillations of the wheel were repeated in a vacuum. Label your sketch as A. [] (AJC, 014) ThePhysicsCafe f 10 P a g e
11 Ans ai SHM is the motion of a body such that its acceleration is proportional to its displacement from a fixed point and is always directed towards that point. The oscillations are simple harmonic because: 1. The straight line passes through the origin indicating that the acceleration a of the plate is directly proportional to the displacement x from its equilibrium position. The negative gradient of the graph indicates that its acceleration a is opposite in direction to its displacement x, and is directed towards the equilibrium position. Note: acceleration and displacement not inversely proportional ii bi The angle of oscillation must be small. Angular frequency of a body undergoing simple harmonic motion is a constant of a given oscillator and is related to its natural frequency f by f ii x cos(.40t) OR x 0.147cos(.40t) OR x 14.7cos(.40t) OR x 14.7cos(.40t) iii - Correct shape of cos function - cycles within one period with Ek max at T/4, 3T/4 and Ek = 0 at 0, T/, T. ci ii iii To reduce fractional error of time measurement. T.6180 s number of oscillations = 3 (round to lower integer).6180 As the average human reaction time is between 0. s and 0.4 s, the timing for the oscillations is recorded to the same precision as the human reaction time. 11 P a g e
12 di ii ei ii F ma m x 1 st method v N(3sf) x0 x 070 = m s -1 (3sf) nd method x x o cos t cos(.40t ) t s v x 0 sin t.40( ) sin(.40t ) ms The amplitude of oscillation increases when f increases to natural frequency f0. When f is larger than f0, the amplitude decreases. Amplitude is maximum when the frequency is equalled to f0. (Learning point: f0 = 1/T or / =.40/ = 0.38 Hz) ThePhysicsCafe - greater values of amplitude for all values of f - the peak is shaper and at the right of f0-1 1 P a g e
C. points X and Y only. D. points O, X and Y only. (Total 1 mark)
Grade 11 Physics -- Homework 16 -- Answers on a separate sheet of paper, please 1. A cart, connected to two identical springs, is oscillating with simple harmonic motion between two points X and Y that
More informationA body is displaced from equilibrium. State the two conditions necessary for the body to execute simple harmonic motion
1. Simple harmonic motion and the greenhouse effect (a) A body is displaced from equilibrium. State the two conditions necessary for the body to execute simple harmonic motion. 1. 2. (b) In a simple model
More informationSIMPLE HARMONIC MOTION
SIMPLE HARMONI MOTION hallenging MQ questions by The Physics afe ompiled and selected by The Physics afe 1 Simple harmonic motion is defined as the motion of a particle such that A its displacement x from
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 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 informationAHL 9.1 Energy transformation
AHL 9.1 Energy transformation 17.1.2018 1. [1 mark] A pendulum oscillating near the surface of the Earth swings with a time period T. What is the time period of the same pendulum near the surface of the
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 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 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 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 informationPhysics 161 Lecture 17 Simple Harmonic Motion. October 30, 2018
Physics 161 Lecture 17 Simple Harmonic Motion October 30, 2018 1 Lecture 17: learning objectives Review from lecture 16 - Second law of thermodynamics. - In pv cycle process: ΔU = 0, Q add = W by gass
More informationspring magnet Fig. 7.1 One end of the magnet hangs inside a coil of wire. The coil is connected in series with a resistor R.
1 A magnet is suspended vertically from a fixed point by means of a spring, as shown in Fig. 7.1. spring magnet coil R Fig. 7.1 One end of the magnet hangs inside a coil of wire. The coil is connected
More informationPhysicsAndMathsTutor.com 1
PhysicsndMathsTutor.com 1 Q1. baby bouncer consisting of a harness and elastic ropes is suspended from a doorway. When a baby of mass 10 kg is placed in the harness, the ropes stretch by 0.25 m. When the
More informationStanding waves [49 marks]
Standing waves [49 marks] 1. The graph shows the variation with time t of the velocity v of an object undergoing simple harmonic motion (SHM). At which velocity does the displacement from the mean position
More informationSection 1 Simple Harmonic Motion. Chapter 11. Preview. Objectives Hooke s Law Sample Problem Simple Harmonic Motion The Simple Pendulum
Section 1 Simple Harmonic Motion Preview Objectives Hooke s Law Sample Problem Simple Harmonic Motion The Simple Pendulum Section 1 Simple Harmonic Motion Objectives Identify the conditions of simple harmonic
More informationChapter 11 Vibrations and Waves
Chapter 11 Vibrations and Waves If an object vibrates or oscillates back and forth over the same path, each cycle taking the same amount of time, the motion is called periodic. The mass and spring system
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 informationSection 1 Simple Harmonic Motion. The student is expected to:
Section 1 Simple Harmonic Motion TEKS The student is expected to: 7A examine and describe oscillatory motion and wave propagation in various types of media Section 1 Simple Harmonic Motion Preview Objectives
More information1 A mass on a spring undergoes SHM. The maximum displacement from the equilibrium is called?
Slide 1 / 20 1 mass on a spring undergoes SHM. The maximum displacement from the equilibrium is called? Period Frequency mplitude Wavelength Speed Slide 2 / 20 2 In a periodic process, the number of cycles
More information1. Dimensions of force constant are (MHT-CET-2003) (a) M 1 L 0 T 2 (b) M 1 L 0 T 2. (c) M 0 L 1 T 2 (d) MLT 2
1. Dimensions of force constant are (MHT-CET-2003) M 1 L 0 T 2 M 1 L 0 T 2 M 0 L 1 T 2 MLT 2 2. A bar magnet is in oscillatory motion its frequency is n magnetic field induction is 0.4 10 5 T when the
More informationCHAPTER 11 TEST REVIEW
AP PHYSICS Name: Period: Date: 50 Multiple Choice 45 Single Response 5 Multi-Response Free Response 3 Short Free Response 2 Long Free Response DEVIL PHYSICS BADDEST CLASS ON CAMPUS AP EXAM CHAPTER TEST
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 informationCHAPTER 4 TEST REVIEW
IB PHYSICS Name: Period: Date: # Marks: 74 Raw Score: IB Curve: DEVIL PHYSICS BADDEST CLASS ON CAMPUS CHAPTER 4 TEST REVIEW 1. In which of the following regions of the electromagnetic spectrum is radiation
More informationAP Physics 1 Multiple Choice Questions - Chapter 9
1 If an object of mass m attached to a light spring is replaced by one of mass 9m, the frequency of the vibrating system changes by what multiplicative factor? a 1/9 b 1/3 c 3 d 9 e 6 2 A mass of 0.40
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 information1. a) A flag waving in the breeze flaps once each s. What is the period and frequency of the flapping flag?
PHYSICS 20N UNIT 4 REVIEW NAME: Be sure to show explicit formulas and substitutions for all calculational questions, where appropriate. Round final answers correctly; give correct units. Be sure to show
More informationNo Brain Too Small PHYSICS
MECHANICS: SIMPLE HARMONIC MOTION QUESTIONS SIMPLE HARMONIC MOTION (2016;3) A toy bumble bee hangs on a spring suspended from the ceiling in the laboratory. Tom pulls the bumble bee down 10.0 cm below
More informationGood Vibes: Introduction to Oscillations
Good Vibes: Introduction to Oscillations Description: Several conceptual and qualitative questions related to main characteristics of simple harmonic motion: amplitude, displacement, period, frequency,
More informationChapter 14 Oscillations. Copyright 2009 Pearson Education, Inc.
Chapter 14 Oscillations 14-1 Oscillations of a Spring If an object vibrates or oscillates back and forth over the same path, each cycle taking the same amount of time, the motion is called periodic. The
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 informationPHYSICS - CLUTCH CH 15: PERIODIC MOTION (OSCILLATIONS)
!! www.clutchprep.com REVIEW SPRINGS When you push/pull against a spring with FA, the spring pushes back (Newton s Law): - x = ( or ). - NOT the spring s length, but its change x =. - k is the spring s
More information3. Can a simple pendulum vibrate at the centre of Earth? Ans : No, because at the centre of earth, g = 0
CHAPTER : 14 OSCILLATIONS 1 marks: 1. The length of a second s pendulum on the surface of earth is 1 m. What will be the length of a second s pendulum on the surface of moon? Ans : T = 2π, T remains same
More informationPage kg kg kg kg (Total 1 mark) Q4. The diagram shows two positions, X and Y, o the Ea th s su fa e.
Q1. body moves with simple harmonic motion of amplitude and frequency What is the magnitude of the acceleration when the body is at maximum displacement? zero 4π 2 b 2 b 2 PhysicsndMathsTutor.com Page
More informationKEELE UNIVERSITY PHYSICS/ASTROPHYSICS MODULE PHY OSCILLATIONS AND WAVES PRACTICE EXAM
KEELE UNIVERSITY PHYSICS/ASTROPHYSICS MODULE PHY-10012 OSCILLATIONS AND WAVES PRACTICE EXAM Candidates should attempt ALL of PARTS A and B, and TWO questions from PART C. PARTS A and B should be answered
More informationChapter 14 Oscillations
Chapter 14 Oscillations If an object vibrates or oscillates back and forth over the same path, each cycle taking the same amount of time, the motion is called periodic. The mass and spring system is a
More informationThe maximum kinetic energy is directly proportional to the frequency. The time for one oscillation is directly proportional to the frequency.
Q1.For a body performing simple harmonic motion, which one of the following statements is correct? The maximum kinetic energy is directly proportional to the frequency. The time for one oscillation is
More informationCHAPTER 11 VIBRATIONS AND WAVES
CHAPTER 11 VIBRATIONS AND WAVES http://www.physicsclassroom.com/class/waves/u10l1a.html UNITS Simple Harmonic Motion Energy in the Simple Harmonic Oscillator The Period and Sinusoidal Nature of SHM The
More information4. What is the speed (in cm s - 1 ) of the tip of the minute hand?
Topic 4 Waves PROBLEM SET Formative Assessment NAME: TEAM: THIS IS A PRACTICE ASSESSMENT. Show formulas, substitutions, answers, and units! Topic 4.1 Oscillations A mass is attached to a horizontal spring.
More informationYou may use your books and notes. Moreover, you are encouraged to freely discuss the questions..which doesn't mean copying answers.
Section: Oscillations Take-Home Test You may use your books and notes. Moreover, you are encouraged to freely discuss the questions..which doesn't mean copying answers. 1. In simple harmonic motion, the
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 informationNARAYANA JUNIOR COLLEGE
SR IIT ALL STREAMS ADV MODEL DPT-6 Date: 18/04/2016 One (or) More Than One Answer Type: PHYSICS 31. A particle is executing SHM between points -X m and X m, as shown in figure-i. The velocity V(t) of the
More informationSimple Pendulum. L Length of pendulum; this is from the bottom of the pendulum support to center of mass of the bob.
Simple Pendulum Many mechanical systems exhibit motion that is periodic. Generally, this is because the system has been displaced from an equilibrium position and is subject to a restoring force. When
More informationAHL 9.1 Energy transformation
AHL 9.1 Energy transformation 17.1.2018 1. [1 mark] A pendulum oscillating near the surface of the Earth swings with a time period T. What is the time period of the same pendulum near the surface of the
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 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 informationOscillation the vibration of an object. Wave a transfer of energy without a transfer of matter
Oscillation the vibration of an object Wave a transfer of energy without a transfer of matter Equilibrium Position position of object at rest (mean position) Displacement (x) distance in a particular direction
More information2016 AP Physics Unit 6 Oscillations and Waves.notebook December 09, 2016
AP Physics Unit Six Oscillations and Waves 1 2 A. Dynamics of SHM 1. Force a. since the block is accelerating, there must be a force acting on it b. Hooke's Law F = kx F = force k = spring constant x =
More informationA longitudinal wave travels through a medium from left to right.
1. This question is about simple harmonic oscillations. A longitudinal wave travels through a medium from left to right. Graph 1 shows the variation with time t of the displacement x of a particle P in
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 informationWAVES MODULE 3.1 PRACTICAL ACTIVITY TRAVELLING WAVES GRAPHICAL ANALYSIS WORKSHOP
HSC PHYSICS ONLINE WAVES MODULE 3.1 PRACTICAL ACTIVITY TRAVELLING WAVES GRAPHICAL ANALYSIS WORKSHOP This practical activity is best done with a team of three people. There should be a reflection period
More informationAP Physics 1 Waves and Simple Harmonic Motion Practice Test
AP Physics 1 Waves and Simple Harmonic Motion Practice Test MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) An object is attached to a vertical
More information(Total 1 mark) IB Questionbank Physics 1
1. A transverse wave travels from left to right. The diagram below shows how, at a particular instant of time, the displacement of particles in the medium varies with position. Which arrow represents the
More informationCHAPTER 7: OSCILLATORY MOTION REQUIRES A SET OF CONDITIONS
CHAPTER 7: OSCILLATORY MOTION REQUIRES A SET OF CONDITIONS 7.1 Period and Frequency Anything that vibrates or repeats its motion regularly is said to have oscillatory motion (sometimes called harmonic
More informationChapter 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 information4.1 KINEMATICS OF SIMPLE HARMONIC MOTION 4.2 ENERGY CHANGES DURING SIMPLE HARMONIC MOTION 4.3 FORCED OSCILLATIONS AND RESONANCE Notes
4.1 KINEMATICS OF SIMPLE HARMONIC MOTION 4.2 ENERGY CHANGES DURING SIMPLE HARMONIC MOTION 4.3 FORCED OSCILLATIONS AND RESONANCE Notes I. DEFINING TERMS A. HOW ARE OSCILLATIONS RELATED TO WAVES? II. EQUATIONS
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 informationUnit 2: Simple Harmonic Motion (SHM)
Unit 2: Simple Harmonic Motion (SHM) THE MOST COMMON FORM OF MOTION FALL 2015 Objectives: Define SHM specifically and give an example. Write and apply formulas for finding the frequency f, period T, w
More informationDEVIL PHYSICS THE BADDEST CLASS ON CAMPUS AP PHYSICS
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS AP PHYSICS LSN 11-1: SIMPLE HARMONIC MOTION LSN 11-: ENERGY IN THE SIMPLE HARMONIC OSCILLATOR LSN 11-3: PERIOD AND THE SINUSOIDAL NATURE OF SHM Introductory Video:
More informationDEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS TSOKOS LESSON 4-1 SIMPLE HARMONIC MOTION Introductory Video: Simple Harmonic Motion IB Assessment Statements Topic 4.1, Kinematics of Simple Harmonic
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 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 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 informationA Level. A Level Physics. Oscillations (Answers) AQA, Edexcel. Name: Total Marks: /30
Visit http://www.mathsmadeeasy.co.uk/ for more fantastic resources. AQA, Edexcel A Level A Level Physics Oscillations (Answers) Name: Total Marks: /30 Maths Made Easy Complete Tuition Ltd 2017 1. The graph
More informationSimple Harmonic Motion Investigating a Mass Oscillating on a Spring
17 Investigating a Mass Oscillating on a Spring A spring that is hanging vertically from a support with no mass at the end of the spring has a length L (called its rest length). When a mass is added to
More informationOscillations - AP Physics B 1984
Oscillations - AP Physics B 1984 1. If the mass of a simple pendulum is doubled but its length remains constant, its period is multiplied by a factor of (A) 1 2 (B) (C) 1 1 2 (D) 2 (E) 2 A block oscillates
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 informationChapter 16: Oscillations
Chapter 16: Oscillations Brent Royuk Phys-111 Concordia University Periodic Motion Periodic Motion is any motion that repeats itself. The Period (T) is the time it takes for one complete cycle of motion.
More informationChapter 16: Oscillatory Motion and Waves. Simple Harmonic Motion (SHM)
Chapter 6: Oscillatory Motion and Waves Hooke s Law (revisited) F = - k x Tthe elastic potential energy of a stretched or compressed spring is PE elastic = kx / Spring-block Note: To consider the potential
More informationA particle travels at a constant speed around a circle of radius r with centripetal acceleration a. What is the time taken for ten complete rotations?
1 particle travels at a constant speed around a circle of radius r with centripetal acceleration a. What is the time taken for ten complete rotations? 2 The frequency of a body moving with simple harmonic
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 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 information17 M00/430/H(2) B3. This question is about an oscillating magnet.
17 M00/430/H(2) B3. This question is about an oscillating magnet. The diagram below shows a magnet M suspended vertically from a spring. When the magnet is in equilibrium its mid-point P coincides with
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 informationUNIVERSITY OF MALTA G.F. ABELA JUNIOR COLLEGE
UNIVERSITY OF MALTA G.F. ABELA JUNIOR COLLEGE FIRST YEAR END-OF-YEAR EXAMINATION SUBJECT: PHYSICS DATE: JUNE 2010 LEVEL: INTERMEDIATE TIME: 09.00h to 12.00h Show ALL working Write units where appropriate
More informationPhys101 Lectures 28, 29. Wave Motion
Phys101 Lectures 8, 9 Wave Motion Key points: Types of Waves: Transverse and Longitudinal Mathematical Representation of a Traveling Wave The Principle of Superposition Standing Waves; Resonance Ref: 11-7,8,9,10,11,16,1,13,16.
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 informationPre-AP Physics Review Problems
Pre-AP Physics Review Problems SECTION ONE: MULTIPLE-CHOICE QUESTIONS (50x2=100 points) 1. The graph above shows the velocity versus time for an object moving in a straight line. At what time after t =
More informationA 2.42 kg ball is attached to an unknown spring and allowed to oscillate. The figure shows a graph of the ball's position x as a function of time t.
Ch 14 Supplemental [ Edit ] Overview Summary View Diagnostics View Print View with Answers Ch 14 Supplemental Due: 6:59pm on Friday, April 28, 2017 To understand how points are awarded, read the Grading
More informationPHYSICS. Chapter 15 Lecture FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E RANDALL D. KNIGHT Pearson Education, Inc.
PHYSICS FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E Chapter 15 Lecture RANDALL D. KNIGHT Chapter 15 Oscillations IN THIS CHAPTER, you will learn about systems that oscillate in simple harmonic
More informationThe... of a particle is defined as its change in position in some time interval.
Distance is the. of a path followed by a particle. Distance is a quantity. The... of a particle is defined as its change in position in some time interval. Displacement is a.. quantity. The... of a particle
More informationPhysics lab Hooke s Law and Pendulums
Name: Date: Physics lab Hooke s Law and Pendulums Part A: Hooke s Law Introduction Hooke s Law explains the relationship between the force exerted on a spring, the stretch of the string, and the spring
More informationEnergy in a Simple Harmonic Oscillator. Class 30. Simple Harmonic Motion
Simple Harmonic Motion Class 30 Here is a simulation of a mass hanging from a spring. This is a case of stable equilibrium in which there is a large extension in which the restoring force is linear in
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 informationSIMPLE HARMONIC MOTION
SIMPLE HARMONIC MOTION PURPOSE The purpose of this experiment is to investigate simple harmonic motion. We will determine the elastic spring constant of a spring first and then study small vertical oscillations
More informationPhysicsAndMathsTutor.com 1
PhysicsndMathsTutor.com 1 Q1. baby bouncer consisting of a harness and elastic ropes is suspended from a doorway. When a baby of mass 10 kg is placed in the harness, the ropes stretch by 0.25 m. When the
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 informationPHYS 1303 Final Exam Example Questions
PHYS 1303 Final Exam Example Questions (In summer 2014 we have not covered questions 30-35,40,41) 1.Which quantity can be converted from the English system to the metric system by the conversion factor
More informationIntroduction to Simple Harmonic Motion
Introduction to Prelab Prelab 1: Write the objective of your experiment. Prelab 2: Write the relevant theory of this experiment. Prelab 3: List your apparatus and sketch your setup.! Have these ready to
More informationAnswers to examination-style questions. Answers Marks Examiner s tips
(a) (i) With the object on the spring: the mean value of x = 72 mm, e = 70 mm (ii).4% Each reading was ±0.5 mm. As the extension was the subtraction of two readings the absolute errors are added to give
More informationWheel and Axle. Author: Joseph Harrison. Research Ans Aerospace Engineering 1 Expert, Monash University
Wheel and Axle Author: Joseph Harrison British Middle-East Center for studies & Research info@bmcsr.com http:// bmcsr.com Research Ans Aerospace Engineering 1 Expert, Monash University Introduction A solid
More informationELECTROMAGNETISM. Challenging MCQ questions by The Physics Cafe. Compiled and selected by The Physics Cafe
ELECTROMAGNETISM Challenging MCQ questions by The Physics Cafe Compiled and selected by The Physics Cafe 1 (a) An electron is travelling at right angles to a uniform magnetic field of flux density 1.5
More informationPhysics. Student Materials Advanced Higher. Tutorial Problems Mechanics HIGHER STILL. Spring 2000
Spring 2000 HIGHER STILL Physics Student Materials Advanced Higher Tutorial Problems Mechanics TUTORIAL 1 You will find tutorials on each topic. The fully worked out answers are available. The idea is
More informationspring mass equilibrium position +v max
Lecture 20 Oscillations (Chapter 11) Review of Simple Harmonic Motion Parameters Graphical Representation of SHM Review of mass-spring pendulum periods Let s review Simple Harmonic Motion. Recall we used
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 informationnot to be republished NCERT OSCILLATIONS Chapter Fourteen MCQ I π y = 3 cos 2ωt The displacement of a particle is represented by the equation
Chapter Fourteen OSCILLATIONS MCQ I 14.1 The displacement of a particle is represented by the equation π y = 3 cos 2ωt 4. The motion of the particle is (a) simple harmonic with period 2p/w. (b) simple
More informationPhysics for Scientists and Engineers 4th Edition, 2017
A Correlation of Physics for Scientists and Engineers 4th Edition, 2017 To the AP Physics C: Mechanics Course Descriptions AP is a trademark registered and/or owned by the College Board, which was not
More informationEquations. A body executing simple harmonic motion has maximum acceleration ) At the mean positions ) At the two extreme position 3) At any position 4) he question is irrelevant. A particle moves on the
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 informationExam tomorrow on Chapter 15, 16, and 17 (Oscilla;ons and Waves 1 &2)
Exam tomorrow on Chapter 15, 16, and 17 (Oscilla;ons and Waves 1 &2) What to study: Quiz 6 Homework problems for Chapters 15 & 16 Material indicated in the following review slides Other Specific things:
More informationOld Exams - Questions Ch-16
Old Exams - Questions Ch-16 T081 : Q1. The displacement of a string carrying a traveling sinusoidal wave is given by: y( x, t) = y sin( kx ω t + ϕ). At time t = 0 the point at x = 0 m has a displacement
More information