Problem Set 14: Oscillations AP Physics C Supplementary Problems
|
|
- Bernice Houston
- 5 years ago
- Views:
Transcription
1 Proble Set 14: Oscillations AP Physics C Suppleentary Probles 1 An oscillator consists of a bloc of ass 050 g connected to a spring When set into oscillation with aplitude 35 c, it is observed to repeat its otion every 050 s Find (a) the period, (b) the frequency, (c) the angular frequency, (d) the spring constant, (e) the axiu speed, and (f) the axiu force exerted on the bloc A 0 N weight is hung fro the botto of a vertical spring, causing the spring to stretch 0 c (a) Calculate the spring constant This spring is now placed horizontally on a frictionless table One end of it is held fixed and the other end is attached to a 50 N weight The weight is then oved, stretching the spring an additional 10 c, and released fro rest (b) Calculate the period of oscillation 3 A body oscillates with the siple haronic otion according to the equation x = ( 60)cos[(3π rad / s) 3 Calculate a) the displaceent, (b) the velocity, (c) the acceleration, and (d) the phase at the tie t = 0 s Find also (e) the frequency and (f) the period of otion 4 A particle executes linear haronic otion about the point x = 0 At t = 0, it has displaceent x = 037 c and zero velocity The frequency of the otion is 05 Hz Deterine a) the period, (b) the angular frequency, (c) the aplitude, (d) the displaceent at tie t, (e) the velocity at tie t, (f) the axiu speed, (g) the axiu acceleration, (h) the displaceent at t = 30 s, and (i) the speed at t = 30 s 5 A 010 g bloc slides bac and forth along a straight line on a sooth horizontal surface Its displaceent fro the origin is given by x = ( 10c) cos[(10 rad / s) (a) Calculate the oscillation frequency (b) Calculate the axiu speed acquired by the bloc At what value x does this occur? (c) Calculate the axiu acceleration of the bloc At what value of x does this occur? (d) What force ust be applied to the bloc to give it this otion? Probles selected fro Halliday, D, & Resnic, R (1993) Fundaentals of Physics (4 th ed) New Yor: John Wiley & Sons, Inc
2 Oscillations 6 Two blocs ( = 10 g and M = 10 g) and a spring ( = 00 N/) are arranged on a horizontal, frictionless surface as shown below The coefficient of static friction between the two blocs is 040 Calculate the axiu possible aplitude of the siple haronic otion if no slippage is to occur between the blocs M 7 An oscillator consists of a bloc attached to a spring ( = 400 N/) At soe tie t, the position (easured fro the equilibriu location), velocity, and acceleration of the bloc are x = 010, v = -136 /s, a = -13 /s Calculate (a) the frequency, (b) the ass of the bloc, and (c) the aplitude of the oscillation 8 Two particles oscillate in siple haronic otion along a coon straight line segent of length A Each particle has a period of 15 s but they differ in phase by π/6 radians (a) How far apart are they (in ters of A) 050 s after the lagging particle leaves one end of the path? (b) Are they oving in the sae direction or in opposite directions at this tie? 9 Two identical springs are attaced to a bloc of ass and to fixed supports as shown below Show that the frequency of oscillation on the frictionless surface is 1 f = π
3 Oscillations 3 10 A bloc weighing 14 N, which slides without friction on a 40 o incline, is connected to the top of the incline by a light spring of unstretched length 045 and force constant 10 N/, as shown below (a) How far fro the top of the incline does the bloc rest in equilibriu? (b) If the bloc is displaced slightly down the incline, what is the period of the ensuing oscillations? 40 o 11 An oscillating boc-spring syste has a echanical energy of 10 J, an aplitude of 010, and a axiu speed of 1 /s Find (a) the force constant of the spring, (b) the ass, and (c) the frequency of oscillation 1 When the displaceent is one-half the aplitude x, what fraction of the total energy is (a) inetic and (b) potential in siple haronic otion? (c) At what displaceent, in ters of the aplitude, is the energy half inetic and half potential? 13 A 30 g particle is in siple haronic otion in one diension and oves according to the equation x = ( 50) cos[( π rad / s) t π rad] 3 4 (a) At what value of x is the potential energy equal to half the total energy? (b) How long does it tae the particle to ove to this position fro the equilibriu position? 14 The balance wheel of a watch vibrates with an angular aplitude of π rad and a period of 050 s Find (a) the axiu angular speed of the wheel, (b) the angular speed of the wheel when its displaceent is π/ rad, and (c) the angular acceleration of the wheel when its displaceent is π/4 rad 15 Calculate the length of a siple pendulu that ars seconds by copleting a full cycle every s
4 Oscillations 4 16 Two oscillating systes that you have studied are the bloc-spring and the siple pendulu There is an interesting relation between the Suppose that you have a weight on the end of a spring, and when the weight is in equilibriu, the spring is stretched a distance h Show that the frequency of this bloc-spring syste is the sae as that of a siple pendulu whose length is h h h 17 A siple pendulu with length L is swinging freely with sall angular aplitude As the pendulu passes its central or equilibriu position, its cord is suddenly and rigidly claped at its idpoint In ters of the original period of the pendulu T, what will the new period be? 18 A stic of unifor density and length L oscillates as a physical pendulu, pivoted about point O (a) Derive an expression for the period of the pendulu in ters of L and x, the distance fro the point of support to the center of gravity of the pendulu (b) Show that, if L = 100, the period will have a iniu value for x = 887 c (c) Show that, at a site where g = 9800 /s, this iniu value is 155 s O x CM
5 Oscillations 5 Answers: 1 a) 050 s b) 0 Hz c) 16 rad/s d) 794 N/ e) 44 /s f) 78 N a) 100 N/ b) 045 s 3 a) 30 b) -49 /s c) -66 /s d) 0 rad e) 15 Hz f) 067 s 4 a) 4 s b) 157 rad/s c) 037 c d) ( 037c)cos[( π rad / s) t] e) ( 058c / s)sin[( π rad / s) t] f) 059 c/s g) 091 c/s h) 0 c i) 058 c/s 5 a) 16 Hz b) 100 c/s at 0 c c) 1000 c/s at ± 10 c d) ( 1N)cos[(10rad / s) a) 558 Hz b) 035 g c) a) 018A b) sae direction (both having negative velocity) 9 proof 10 a) 055 b) 069 s 11 a) 00 N/ b) 14 g c) 19 Hz 1 a) 75% b) 5% c) 071A 13 a) 35 b) 074 s 14 a) 395 rad/s b) -34 rad/s c) -14 rad/s proof T 18 a) L + 1x π b) proof c) proof 1gx
CHECKLIST. r r. Newton s Second Law. natural frequency ω o (rad.s -1 ) (Eq ) a03/p1/waves/waves doc 9:19 AM 29/03/05 1
PHYS12 Physics 1 FUNDAMENTALS Module 3 OSCILLATIONS & WAVES Text Physics by Hecht Chapter 1 OSCILLATIONS Sections: 1.5 1.6 Exaples: 1.6 1.7 1.8 1.9 CHECKLIST Haronic otion, periodic otion, siple haronic
More informationm A 1 m mgd k m v ( C) AP Physics Multiple Choice Practice Oscillations
P Physics Multiple Choice Practice Oscillations. ass, attached to a horizontal assless spring with spring constant, is set into siple haronic otion. Its axiu displaceent fro its equilibriu position is.
More informationL 2. AP Physics Free Response Practice Oscillations ANSWERS 1975B7. (a) F T2. (b) F NET(Y) = 0
AP Physics Free Response Practice Oscillations ANSWERS 1975B7. (a) 60 F 1 F g (b) F NE(Y) = 0 F1 F1 = g / cos(60) = g (c) When the string is cut it swings fro top to botto, siilar to the diagra for 1974B1
More informationMore Oscillations! (Today: Harmonic Oscillators)
More Oscillations! (oday: Haronic Oscillators) Movie assignent reinder! Final due HURSDAY April 20 Subit through ecapus Different rubric; reeber to chec it even if you got 00% on your draft: http://sarahspolaor.faculty.wvu.edu/hoe/physics-0
More informationSimple Harmonic Motion
Reading: Chapter 15 Siple Haronic Motion Siple Haronic Motion Frequency f Period T T 1. f Siple haronic otion x ( t) x cos( t ). Aplitude x Phase Angular frequency Since the otion returns to its initial
More informationA body of unknown mass is attached to an ideal spring with force constant 123 N/m. It is found to vibrate with a frequency of
Chapter 14 [ Edit ] Overview Suary View Diagnostics View Print View with Answers Chapter 14 Due: 11:59p on Sunday, Noveber 27, 2016 To understand how points are awarded, read the Grading Policy for this
More informationStudent Book pages
Chapter 7 Review Student Boo pages 390 39 Knowledge. Oscillatory otion is otion that repeats itself at regular intervals. For exaple, a ass oscillating on a spring and a pendulu swinging bac and forth..
More informationWileyPLUS Assignment 3. Next Week
WileyPLUS Assignent 3 Chapters 6 & 7 Due Wednesday, Noveber 11 at 11 p Next Wee No labs of tutorials Reebrance Day holiday on Wednesday (no classes) 24 Displaceent, x Mass on a spring ωt = 2π x = A cos
More informationChapter 11 Simple Harmonic Motion
Chapter 11 Siple Haronic Motion "We are to adit no ore causes of natural things than such as are both true and sufficient to explain their appearances." Isaac Newton 11.1 Introduction to Periodic Motion
More informationPHYS 102 Previous Exam Problems
PHYS 102 Previous Exa Probles CHAPTER 16 Waves Transverse waves on a string Power Interference of waves Standing waves Resonance on a string 1. The displaceent of a string carrying a traveling sinusoidal
More informationTUTORIAL 1 SIMPLE HARMONIC MOTION. Instructor: Kazumi Tolich
TUTORIAL 1 SIMPLE HARMONIC MOTION Instructor: Kazui Tolich About tutorials 2 Tutorials are conceptual exercises that should be worked on in groups. Each slide will consist of a series of questions that
More informationPhysics 4A Solutions to Chapter 15 Homework
Physics 4A Solutions to Chapter 15 Hoework Chapter 15 Questions:, 8, 1 Exercises & Probles 6, 5, 31, 41, 59, 7, 73, 88, 90 Answers to Questions: Q 15- (a) toward -x (b) toward +x (c) between -x and 0 (d)
More information1 k. 1 m. m A. AP Physics Multiple Choice Practice Work-Energy
AP Physics Multiple Choice Practice Wor-Energy 1. A ass attached to a horizontal assless spring with spring constant, is set into siple haronic otion. Its axiu displaceent fro its equilibriu position is
More informationLecture #8-3 Oscillations, Simple Harmonic Motion
Lecture #8-3 Oscillations Siple Haronic Motion So far we have considered two basic types of otion: translation and rotation. But these are not the only two types of otion we can observe in every day life.
More informationSimple Harmonic Motion
Siple Haronic Motion Physics Enhanceent Prograe for Gifted Students The Hong Kong Acadey for Gifted Education and Departent of Physics, HKBU Departent of Physics Siple haronic otion In echanical physics,
More informationPeriodic Motion is everywhere
Lecture 19 Goals: Chapter 14 Interrelate the physics and atheatics of oscillations. Draw and interpret oscillatory graphs. Learn the concepts of phase and phase constant. Understand and use energy conservation
More informationOscillations: Review (Chapter 12)
Oscillations: Review (Chapter 1) Oscillations: otions that are periodic in tie (i.e. repetitive) o Swinging object (pendulu) o Vibrating object (spring, guitar string, etc.) o Part of ediu (i.e. string,
More informationSimple Harmonic Motion of Spring
Nae P Physics Date iple Haronic Motion and prings Hooean pring W x U ( x iple Haronic Motion of pring. What are the two criteria for siple haronic otion? - Only restoring forces cause siple haronic otion.
More informationPhysics 207 Lecture 18. Physics 207, Lecture 18, Nov. 3 Goals: Chapter 14
Physics 07, Lecture 18, Nov. 3 Goals: Chapter 14 Interrelate the physics and atheatics of oscillations. Draw and interpret oscillatory graphs. Learn the concepts of phase and phase constant. Understand
More informationPY241 Solutions Set 9 (Dated: November 7, 2002)
PY241 Solutions Set 9 (Dated: Noveber 7, 2002) 9-9 At what displaceent of an object undergoing siple haronic otion is the agnitude greatest for the... (a) velocity? The velocity is greatest at x = 0, the
More informationPHYS 1443 Section 003 Lecture #22
PHYS 443 Section 003 Lecture # Monda, Nov. 4, 003. Siple Bloc-Spring Sste. Energ of the Siple Haronic Oscillator 3. Pendulu Siple Pendulu Phsical Pendulu orsion Pendulu 4. Siple Haronic Motion and Unifor
More informationQuestion 1. [14 Marks]
6 Question 1. [14 Marks] R r T! A string is attached to the dru (radius r) of a spool (radius R) as shown in side and end views here. (A spool is device for storing string, thread etc.) A tension T is
More informationUnit 14 Harmonic Motion. Your Comments
Today s Concepts: Periodic Motion Siple - Mass on spring Daped Forced Resonance Siple - Pendulu Unit 1, Slide 1 Your Coents Please go through the three equations for siple haronic otion and phase angle
More informationDiscussion Examples Chapter 13: Oscillations About Equilibrium
Discussion Exaples Chapter 13: Oscillations About Equilibriu 17. he position of a ass on a spring is given by x 6.5 c cos t 0.88 s. (a) What is the period,, of this otion? (b) Where is the ass at t 0.5
More informationPH 221-1D Spring Oscillations. Lectures Chapter 15 (Halliday/Resnick/Walker, Fundamentals of Physics 9 th edition)
PH 1-1D Spring 013 Oscillations Lectures 35-37 Chapter 15 (Halliday/Resnick/Walker, Fundaentals of Physics 9 th edition) 1 Chapter 15 Oscillations In this chapter we will cover the following topics: Displaceent,
More informationCHAPTER 15: Vibratory Motion
CHAPTER 15: Vibratory Motion courtesy of Richard White courtesy of Richard White 2.) 1.) Two glaring observations can be ade fro the graphic on the previous slide: 1.) The PROJECTION of a point on a circle
More informationPage 1. Physics 131: Lecture 22. Today s Agenda. SHM and Circles. Position
Physics 3: ecture Today s genda Siple haronic otion Deinition Period and requency Position, velocity, and acceleration Period o a ass on a spring Vertical spring Energy and siple haronic otion Energy o
More information27 Oscillations: Introduction, Mass on a Spring
Chapter 7 Oscillations: Introduction, Mass on a Spring 7 Oscillations: Introduction, Mass on a Spring If a siple haronic oscillation proble does not involve the tie, you should probably be using conservation
More information= T. Oscillations and Waves. Example of an Oscillating System IB 12 IB 12
Oscillation: the vibration of an object Oscillations and Waves Eaple of an Oscillating Syste A ass oscillates on a horizontal spring without friction as shown below. At each position, analyze its displaceent,
More informationPHY 140Y FOUNDATIONS OF PHYSICS Tutorial Questions #9 Solutions November 12/13
PHY 4Y FOUNDAIONS OF PHYSICS - utorial Questions #9 Solutions Noveber /3 Conservation of Ener and Sprins. One end of a assless sprin is placed on a flat surface, with the other end pointin upward, as shown
More information(b) Frequency is simply the reciprocal of the period: f = 1/T = 2.0 Hz.
Chapter 5. (a) During siple haronic otion, the speed is (oentarily) zero when the object is at a turning point (that is, when x = +x or x = x ). Consider that it starts at x = +x and we are told that t
More informationwhich proves the motion is simple harmonic. Now A = a 2 + b 2 = =
Worked out Exaples. The potential energy function for the force between two atos in a diatoic olecules can be expressed as follows: a U(x) = b x / x6 where a and b are positive constants and x is the distance
More informationPhysics 120 Final Examination
Physics 120 Final Exaination 12 August, 1998 Nae Tie: 3 hours Signature Calculator and one forula sheet allowed Student nuber Show coplete solutions to questions 3 to 8. This exaination has 8 questions.
More informationPHYS 1443 Section 003 Lecture #21 Wednesday, Nov. 19, 2003 Dr. Mystery Lecturer
PHYS 443 Section 003 Lecture # Wednesday, Nov. 9, 003 Dr. Mystery Lecturer. Fluid Dyanics : Flow rate and Continuity Equation. Bernoulli s Equation 3. Siple Haronic Motion 4. Siple Bloc-Spring Syste 5.
More information9 HOOKE S LAW AND SIMPLE HARMONIC MOTION
Experient 9 HOOKE S LAW AND SIMPLE HARMONIC MOTION Objectives 1. Verify Hoo s law,. Measure the force constant of a spring, and 3. Measure the period of oscillation of a spring-ass syste and copare it
More informationPH 221-2A Fall Waves - I. Lectures Chapter 16 (Halliday/Resnick/Walker, Fundamentals of Physics 9 th edition)
PH 1-A Fall 014 Waves - I Lectures 4-5 Chapter 16 (Halliday/Resnick/Walker, Fundaentals of Physics 9 th edition) 1 Chapter 16 Waves I In this chapter we will start the discussion on wave phenoena. We will
More informationT m. Fapplied. Thur Oct 29. ω = 2πf f = (ω/2π) T = 1/f. k m. ω =
Thur Oct 9 Assignent 10 Mass-Spring Kineatics (x, v, a, t) Dynaics (F,, a) Tie dependence Energy Pendulu Daping and Resonances x Acos( ωt) = v = Aω sin( ωt) a = Aω cos( ωt) ω = spring k f spring = 1 k
More information2. Which of the following best describes the relationship between force and potential energy?
Work/Energy with Calculus 1. An object oves according to the function x = t 5/ where x is the distance traveled and t is the tie. Its kinetic energy is proportional to (A) t (B) t 5/ (C) t 3 (D) t 3/ (E)
More informationQ5 We know that a mass at the end of a spring when displaced will perform simple m harmonic oscillations with a period given by T = 2!
Chapter 4.1 Q1 n oscillation is any otion in which the displaceent of a particle fro a fixed point keeps changing direction and there is a periodicity in the otion i.e. the otion repeats in soe way. In
More informationIn the session you will be divided into groups and perform four separate experiments:
Mechanics Lab (Civil Engineers) Nae (please print): Tutor (please print): Lab group: Date of lab: Experients In the session you will be divided into groups and perfor four separate experients: (1) air-track
More informationm A 9. The length of a simple pendulum with a period on Earth of one second is most nearly (A) 0.12 m (B) 0.25 m (C) 0.50 m (D) 1.0 m (E) 10.
P Physics Multiple Choice Practice Oscillations. ass, attache to a horizontal assless spring with spring constant, is set into siple haronic otion. Its axiu isplaceent fro its equilibriu position is. What
More informationWork, Energy and Momentum
Work, Energy and Moentu Work: When a body oves a distance d along straight line, while acted on by a constant force of agnitude F in the sae direction as the otion, the work done by the force is tered
More informationPhysics 2210 Fall smartphysics 20 Conservation of Angular Momentum 21 Simple Harmonic Motion 11/23/2015
Physics 2210 Fall 2015 sartphysics 20 Conservation of Angular Moentu 21 Siple Haronic Motion 11/23/2015 Exa 4: sartphysics units 14-20 Midter Exa 2: Day: Fri Dec. 04, 2015 Tie: regular class tie Section
More informationPearson Education Limited Edinburgh Gate Harlow Essex CM20 2JE England and Associated Companies throughout the world
Pearson Education Liited Edinburgh Gate Harlow Esse CM0 JE England and Associated Copanies throughout the world Visit us on the World Wide Web at: www.pearsoned.co.uk Pearson Education Liited 04 All rights
More informationNAME NUMBER SEC. PHYCS 101 SUMMER 2001/2002 FINAL EXAME:24/8/2002. PART(I) 25% PART(II) 15% PART(III)/Lab 8% ( ) 2 Q2 Q3 Total 40%
NAME NUMER SEC. PHYCS 101 SUMMER 2001/2002 FINAL EXAME:24/8/2002 PART(I) 25% PART(II) 15% PART(III)/Lab 8% ( ) 2.5 Q1 ( ) 2 Q2 Q3 Total 40% Use the followings: Magnitude of acceleration due to gravity
More informationPhysics 2107 Oscillations using Springs Experiment 2
PY07 Oscillations using Springs Experient Physics 07 Oscillations using Springs Experient Prelab Read the following bacground/setup and ensure you are failiar with the concepts and theory required for
More informationPhysics 140 D100 Midterm Exam 2 Solutions 2017 Nov 10
There are 10 ultiple choice questions. Select the correct answer for each one and ark it on the bubble for on the cover sheet. Each question has only one correct answer. (2 arks each) 1. An inertial reference
More informationSimple and Compound Harmonic Motion
Siple Copound Haronic Motion Prelab: visit this site: http://en.wiipedia.org/wii/noral_odes Purpose To deterine the noral ode frequencies of two systes:. a single ass - two springs syste (Figure );. two
More information1B If the stick is pivoted about point P a distance h = 10 cm from the center of mass, the period of oscillation is equal to (in seconds)
05/07/03 HYSICS 3 Exa #1 Use g 10 /s in your calculations. NAME Feynan lease write your nae also on the back side of this exa 1. 1A A unifor thin stick of ass M 0. Kg and length 60 c is pivoted at one
More informationVIBRATING SYSTEMS. example. Springs obey Hooke s Law. Terminology. L 21 Vibration and Waves [ 2 ]
L 1 Vibration and Waves [ ] Vibrations (oscillations) resonance pendulu springs haronic otion Waves echanical waves sound waves usical instruents VIBRATING SYSTEMS Mass and spring on air trac Mass hanging
More informationEN40: Dynamics and Vibrations. Final Examination Tuesday May 15, 2011
EN40: ynaics and Vibrations Final Exaination Tuesday May 15, 011 School of Engineering rown University NME: General Instructions No collaboration of any ind is peritted on this exaination. You ay use double
More informationFor a situation involving gravity near earth s surface, a = g = jg. Show. that for that case v 2 = v 0 2 g(y y 0 ).
Reading: Energy 1, 2. Key concepts: Scalar products, work, kinetic energy, work-energy theore; potential energy, total energy, conservation of echanical energy, equilibriu and turning points. 1.! In 1-D
More informationUSEFUL HINTS FOR SOLVING PHYSICS OLYMPIAD PROBLEMS. By: Ian Blokland, Augustana Campus, University of Alberta
1 USEFUL HINTS FOR SOLVING PHYSICS OLYMPIAD PROBLEMS By: Ian Bloland, Augustana Capus, University of Alberta For: Physics Olypiad Weeend, April 6, 008, UofA Introduction: Physicists often attept to solve
More information8.1 Force Laws Hooke s Law
8.1 Force Laws There are forces that don't change appreciably fro one instant to another, which we refer to as constant in tie, and forces that don't change appreciably fro one point to another, which
More informationSystems of Masses. 1. Ignoring friction, calculate the acceleration of the system below and the tension in the rope. and (4.0)(9.80) 39.
Systes of Masses. Ignoring friction, calculate the acceleration of the syste below and the tension in the rope. Drawing individual free body diagras we get 4.0kg 7.0kg g 9.80 / s a?? g and g (4.0)(9.80)
More informationTOPIC E: OSCILLATIONS SPRING 2018
TOPIC E: OSCILLATIONS SPRING 018 1. Introduction 1.1 Overview 1. Degrees of freedo 1.3 Siple haronic otion. Undaped free oscillation.1 Generalised ass-spring syste: siple haronic otion. Natural frequency
More informationChapter 1: Basics of Vibrations for Simple Mechanical Systems
Chapter 1: Basics of Vibrations for Siple Mechanical Systes Introduction: The fundaentals of Sound and Vibrations are part of the broader field of echanics, with strong connections to classical echanics,
More informationDepartment of Physics Preliminary Exam January 3 6, 2006
Departent of Physics Preliinary Exa January 3 6, 2006 Day 1: Classical Mechanics Tuesday, January 3, 2006 9:00 a.. 12:00 p.. Instructions: 1. Write the answer to each question on a separate sheet of paper.
More informationCourse Information. Physics 1C Waves, optics and modern physics. Grades. Class Schedule. Clickers. Homework
Course Inforation Physics 1C Waves, optics and odern physics Instructor: Melvin Oaura eail: oaura@physics.ucsd.edu Course Syllabus on the web page http://physics.ucsd.edu/ students/courses/fall2009/physics1c
More informationPhysics 41 HW Set 1 Chapter 15 Serway 7 th Edition
Physics HW Set Chapter 5 Serway 7 th Edition Conceptual Questions:, 3, 5,, 6, 9 Q53 You can take φ = π, or equally well, φ = π At t= 0, the particle is at its turning point on the negative side of equilibriu,
More information5/09/06 PHYSICS 213 Exam #1 NAME FEYNMAN Please write down your name also on the back side of the last page
5/09/06 PHYSICS 13 Exa #1 NAME FEYNMAN Please write down your nae also on the back side of the last page 1 he figure shows a horizontal planks of length =50 c, and ass M= 1 Kg, pivoted at one end. he planks
More informationPage 1. Physics 131: Lecture 22. SHM and Circles. Today s Agenda. Position. Velocity. Position and Velocity. Acceleration. v Asin.
Physics 3: ecture Today s enda Siple haronic otion Deinition Period and requency Position, velocity, and acceleration Period o a ass on a sprin Vertical sprin Enery and siple haronic otion Enery o a sprin
More informationForce and dynamics with a spring, analytic approach
Force and dynaics with a spring, analytic approach It ay strie you as strange that the first force we will discuss will be that of a spring. It is not one of the four Universal forces and we don t use
More informationUNIVERSITY OF SASKATCHEWAN Department of Physics and Engineering Physics
UNIVERSITY OF SASKATCHEWAN Departent of Physics and Engineering Physics Physics 115.3 MIDTERM TEST October 22, 2008 Tie: 90 inutes NAME: (Last) Please Print (Given) STUDENT NO.: LECTURE SECTION (please
More informationOSCILLATIONS AND WAVES
OSCILLATIONS AND WAVES OSCILLATION IS AN EXAMPLE OF PERIODIC MOTION No stories this tie, we are going to get straight to the topic. We say that an event is Periodic in nature when it repeats itself in
More informationPHYSICS - CLUTCH CH 05: FRICTION, INCLINES, SYSTEMS.
!! www.clutchprep.co INTRO TO FRICTION Friction happens when two surfaces are in contact f = μ =. KINETIC FRICTION (v 0 *): STATIC FRICTION (v 0 *): - Happens when ANY object slides/skids/slips. * = Point
More informationExperiment 2: Hooke s Law
COMSATS Institute of Inforation Technology, Islaabad Capus PHYS-108 Experient 2: Hooke s Law Hooke s Law is a physical principle that states that a spring stretched (extended) or copressed by soe distance
More informationOscillations Equations 0. Out of the followin functions representin otion of a particle which represents SHM I) y = sinωt cosωt 3 II) y = sin ωt III) IV) 3 y = 5cos 3ωt 4 y = + ωt+ ω t a) Only IV does
More informationPearson Physics Level 20 Unit IV Oscillatory Motion and Mechanical Waves: Unit IV Review Solutions
Pearson Physics Level 0 Unit IV Oscillatory Motion and Mechanical Waves: Unit IV Review Solutions Student Book pages 440 443 Vocabulary. aplitude: axiu displaceent of an oscillation antinodes: points of
More informationXI PHYSICS M. AFFAN KHAN LECTURER PHYSICS, AKHSS, K. https://promotephysics.wordpress.com
XI PHYSICS M. AFFAN KHAN LECTURER PHYSICS, AKHSS, K affan_414@live.co https://prootephysics.wordpress.co [MOTION] CHAPTER NO. 3 In this chapter we are going to discuss otion in one diension in which we
More informationTutorial Exercises: Incorporating constraints
Tutorial Exercises: Incorporating constraints 1. A siple pendulu of length l ass is suspended fro a pivot of ass M that is free to slide on a frictionless wire frae in the shape of a parabola y = ax. The
More informationEnergy and Momentum: The Ballistic Pendulum
Physics Departent Handout -10 Energy and Moentu: The Ballistic Pendulu The ballistic pendulu, first described in the id-eighteenth century, applies principles of echanics to the proble of easuring the
More information( ) ( ) 1. (a) The amplitude is half the range of the displacement, or x m = 1.0 mm.
1. (a) The aplitude is half the range of the displaceent, or x = 1.0. (b) The axiu speed v is related to the aplitude x by v = ωx, where ω is the angular frequency. Since ω = πf, where f is the frequency,
More informationProblem Set 7: Potential Energy and Conservation of Energy AP Physics C Supplementary Problems
Proble Set 7: Potential Energy and Conservation of Energy AP Pysics C Suppleentary Probles 1. Approxiately 5.5 x 10 6 kg of water drops 50 over Niagara Falls every second. (a) Calculate te aount of potential
More information3. Period Law: Simplified proof for circular orbits Equate gravitational and centripetal forces
Physics 106 Lecture 10 Kepler s Laws and Planetary Motion-continued SJ 7 th ed.: Chap 1., 1.6 Kepler s laws of planetary otion Orbit Law Area Law Period Law Satellite and planetary orbits Orbits, potential,
More information2009 Academic Challenge
009 Acadeic Challenge PHYSICS TEST - REGIONAL This Test Consists of 5 Questions Physics Test Production Tea Len Stor, Eastern Illinois University Author/Tea Leader Doug Brandt, Eastern Illinois University
More informationIn this chapter we will start the discussion on wave phenomena. We will study the following topics:
Chapter 16 Waves I In this chapter we will start the discussion on wave phenoena. We will study the following topics: Types of waves Aplitude, phase, frequency, period, propagation speed of a wave Mechanical
More informationNB1140: Physics 1A - Classical mechanics and Thermodynamics Problem set 2 - Forces and energy Week 2: November 2016
NB1140: Physics 1A - Classical echanics and Therodynaics Proble set 2 - Forces and energy Week 2: 21-25 Noveber 2016 Proble 1. Why force is transitted uniforly through a assless string, a assless spring,
More informationCE573 Structural Dynamics [Fall 2008]
CE573 Structural Dynaics [Fall 2008] 1) A rigid vehicle weighing 2000 lb, oving horizontally at a velocity of 12 ft/sec, is stopped by a barrier consisting of wire ropes stretched between two rigid anchors
More informationPearson Physics Level 20 Unit IV Oscillatory Motion and Mechanical Waves: Chapter 7 Solutions
Pearson Physics Level 0 Unit IV Oscillatory Motion and Mechanical Waves: Chapter 7 Solutions Student Boo page 345 Exaple 7. Practice Probles. 60 s T 5.00 in in 300 s f T 300 s 3 3.33 0 Hz The frequency
More information. The maximum speed m can be doubled by doubling the amplitude, A. 5. The maximum speed of a simple harmonic oscillator is given by v = A
CHAPTER 4: Oscillations Responses to Questions. Exaples are: a child s swing (SHM, for sall oscillations), stereo speaers (coplicated otion, the addition of any SHMs), the blade on a jigsaw (approxiately
More informationEN40: Dynamics and Vibrations. Midterm Examination Tuesday March
EN4: Dynaics and Vibrations Midter Exaination Tuesday March 8 16 School of Engineering Brown University NAME: General Instructions No collaboration of any kind is peritted on this exaination. You ay bring
More informationma x = -bv x + F rod.
Notes on Dynaical Systes Dynaics is the study of change. The priary ingredients of a dynaical syste are its state and its rule of change (also soeties called the dynaic). Dynaical systes can be continuous
More informationAxis. Axis. Axis. Solid cylinder (or disk) about. Hoop about. Annular cylinder (or ring) about central axis. central axis.
Instructor(s): Acosta, inzler PHYSICS DEPATMENT PHY 048, Spring 04 Final Exa March 4, 04 Nae (print, last first): Signature: On y honor, I have neither given nor received unauthorized aid on this exaination.
More informationSRI LANKAN PHYSICS OLYMPIAD MULTIPLE CHOICE TEST 30 QUESTIONS ONE HOUR AND 15 MINUTES
SRI LANKAN PHYSICS OLYMPIAD - 5 MULTIPLE CHOICE TEST QUESTIONS ONE HOUR AND 5 MINUTES INSTRUCTIONS This test contains ultiple choice questions. Your answer to each question ust be arked on the answer sheet
More informationOSCILLATIONS CHAPTER FOURTEEN 14.1 INTRODUCTION
CHAPTER FOURTEEN OSCILLATIONS 14.1 INTRODUCTION 14.1 Introduction 14. Periodic and oscilatory otions 14.3 Siple haronic otion 14.4 Siple haronic otion and unifor circular otion 14.5 Velocity and acceleration
More informationPart IA Paper 1: Mechanical Engineering MECHANICAL VIBRATIONS Examples paper 3
ENGINEERING Part IA Paper 1: Mechanical Engineering MECHANICAL VIBRATIONS Exaples paper 3 IRST YEAR Straightforward questions are ared with a Tripos standard questions are ared *. Systes with two or ore
More information+ 1 2 mv 2. Since no forces act on the system in the x-direction, linear momentum in x-direction is conserved: (2) 0 = mv A2. + Rω 2.
ME 74 Spring 018 Final Exaination Proble 1 Given: hoogeneous dis of ass and outer radius R is able to roll without slipping on the curved upper surface of a cart. art (of ass ) is able to ove along a sooth,
More informationFlipping Physics Lecture Notes: Free Response Question #1 - AP Physics Exam Solutions
2015 FRQ #1 Free Response Question #1 - AP Physics 1-2015 Exa Solutions (a) First off, we know both blocks have a force of gravity acting downward on the. et s label the F & F. We also know there is a
More informationPHY 101 General Physics I (Oscillations, Waves I and II) 2017/18 academic session
PHY 101 General Physics I (Oscillations, Waves I and II) 017/18 acadeic session Segun Fawole PhD (AMInstP) Dept. of Physics & Engr. Physics Obafei Awolowo University, Ile-Ife, Nigeria. eail: gofawole@oauife.edu.ng
More informationF = 0. x o F = -k x o v = 0 F = 0. F = k x o v = 0 F = 0. x = 0 F = 0. F = -k x 1. PHYSICS 151 Notes for Online Lecture 2.4.
PHYSICS 151 Notes for Online Lecture.4 Springs, Strings, Pulleys, and Connected Objects Hook s Law F = 0 F = -k x 1 x = 0 x = x 1 Let s start with a horizontal spring, resting on a frictionless table.
More information9. h = R. 10. h = 3 R
Version PREVIEW Torque Chap. 8 sizeore (13756) 1 This print-out should have 3 questions. ultiple-choice questions ay continue on the next colun or page find all choices before answering. Note in the dropped
More informationJOURNAL OF PHYSICAL AND CHEMICAL SCIENCES
JOURNAL OF PHYSIAL AND HEMIAL SIENES Journal hoepage: http://scienceq.org/journals/jps.php Review Open Access A Review of Siple Haronic Motion for Mass Spring Syste and Its Analogy to the Oscillations
More informationdt dt THE AIR TRACK (II)
THE AIR TRACK (II) References: [] The Air Track (I) - First Year Physics Laoratory Manual (PHY38Y and PHYY) [] Berkeley Physics Laoratory, nd edition, McGraw-Hill Book Copany [3] E. Hecht: Physics: Calculus,
More information1. Answer the following questions.
(06) Physics Nationality No. (Please print full nae, underlining faily nae) Marks Nae Before you start, fill in the necessary details (nationality, exaination nuber, nae etc.) in the box at the top of
More informationSHM stuff the story continues
SHM stuff the story continues Siple haronic Motion && + ω solution A cos t ( ω + α ) Siple haronic Motion + viscous daping b & + ω & + Viscous daping force A e b t Viscous daped aplitude Viscous daped
More informationCommon Exam 2 Physics 111 Fall 2006 Name A
Coon Ea Physics Fall 006 Nae A Total Nuber of Points is 5 (Multiple Choice and Worout Probles). Multiple Choice Probles are Point per Question..) A toy car oving at constant speed copletes one lap around
More information4.7. Springs and Conservation of Energy. Conservation of Mechanical Energy
Springs and Conservation of Energy Most drivers try to avoid collisions, but not at a deolition derby like the one shown in Figure 1. The point of a deolition derby is to crash your car into as any other
More informationU V. r In Uniform Field the Potential Difference is V Ed
SPHI/W nit 7.8 Electric Potential Page of 5 Notes Physics Tool box Electric Potential Energy the electric potential energy stored in a syste k of two charges and is E r k Coulobs Constant is N C 9 9. E
More informationDefinition of Work, The basics
Physics 07 Lecture 16 Lecture 16 Chapter 11 (Work) v Eploy conservative and non-conservative forces v Relate force to potential energy v Use the concept of power (i.e., energy per tie) Chapter 1 v Define
More information