Simple Harmonic Motion and Waves December 1, 2010

Slides:



Advertisements
Similar presentations
Chapter 14 4 Oscillations. Section 14-1: Simple Harmonic Motion A simple harmonic oscillator is any system that oscillates. An example of this is a mass.
Advertisements

PHYS16 – Lecture 37 Ch. 16 Wave Motion “Interference is much clearer in HD”
Simple Harmonic Motion
PHYS16 – Lecture 32 Ch. 15 Oscillations.
© 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching their.
Oscillations Simple Harmonic Motion Velocity and Acceleration in SHM
PHYS16 – Lecture 32 Simple Harmonic Motion November 29, 2010.
Chapter 14 Oscillations
Chaper 15, Oscillation Simple Harmonic Motion (SHM)
Phy 212: General Physics II Chapter 15: Oscillations Lecture Notes.
AP Physics Review Ch 10 – Oscillatory Motion
Simple Harmonic Motion
Dr. Jie Zou PHY 1151G Department of Physics1 Chapter 13 Oscillations About Equilibrium (Cont.)
Vibrations and Waves. Extreme Example Tacoma Narrows Bridge Tacoma Narrows Bridge It stood for only 3 months before…. It stood for only 3 months before….
Copyright © 2009 Pearson Education, Inc. Lecture 1 – Waves & Sound a) Simple Harmonic Motion (SHM)
PHYS16 – Lecture 36 Ch. 15 Oscillations Xkcd.com.
ConcepTest 13.1a Harmonic Motion I 1) 0 2) A/2 3) A 4) 2A 5) 4A A mass on a spring in SHM has amplitude A and period T. What is the total distance traveled.
P H Y S I C S Chapter 7: Waves and Vibrations Section 7B: SHM of a Pendulum.
PHYS 218 sec Review Chap. 13 Periodic Motion.
Chapter 13 Oscillatory Motion.
Chapter 13 Vibrations and Waves.
13. Oscillatory Motion. Oscillatory Motion 3 If one displaces a system from a position of stable equilibrium the system will move back and forth, that.
Motion of a mass at the end of a spring Differential equation for simple harmonic oscillation Amplitude, period, frequency and angular frequency Energetics.
L 20 – Vibration, Waves and Sound -1
Damped Oscillations (Serway ) Physics 1D03 - Lecture 35.
Chapter 13: Oscillatory Motions
Vibrations and Waves.
Chapter 14 Outline Periodic Motion Oscillations Amplitude, period, frequency Simple harmonic motion Displacement, velocity, and acceleration Energy in.
Pendulums and Resonance
Chapter 11 Vibrations and Waves Phy 2053 Conceptual Questions.
Bell Work: Pendulum Intro 1. List as many waves as you can. (aim for 10+) 2. List as many examples of pendulums as you can.
Simple Harmonic Motion. Restoring Forces in Spring  F=-kx  This implies that when a spring is compressed or elongated, there is a force that tries to.
Simple Harmonic Motion and Elasticity The Ideal Spring and Simple Harmonic Motion spring constant Units: N/m.
Vibrations & Waves. In the example of a mass on a horizontal spring, m has a value of 0.80 kg and the spring constant, k, is 180 N/m. At time t = 0 the.
Chapter 15 Oscillations. Periodic motion Periodic (harmonic) motion – self-repeating motion Oscillation – periodic motion in certain direction Period.
Fluid Dynamics How does conservation of mass apply in a fluid? How does conservation of energy apply in a fluid? What is laminar flow? What is turbulence.
Chapter 19 Physics A First Course Vibrations, Waves, and Sound.
AP Physics B: Ch.10 - Elasticity and Simple Harmonic Motion Reading Assignment Cutnell and Johnson, Physics Chapter 10.
1FCI. Prof. Nabila.M.Hassan Faculty of Computer and Information Basic Science department 2012/2013 2FCI.
Chapter 11: Harmonic Motion
APHY201 1/30/ Simple Harmonic Motion   Periodic oscillations   Restoring Force: F = -kx   Force and acceleration are not constant  
Simple Harmonic Motion. Periodic Motion When a vibration or oscillation repeats itself over the same time period.
Ball in a Bowl: F g F N F g F N  F  F Simple Harmonic Motion (SHM) Stable Equilibrium (restoring force, not constant force)
Chapter 11 Vibrations and Waves. Simple harmonic motion Measuring simple harmonic motion Properties of waves Wave interactions.
Physics Section 11.2 Apply properties of pendulums and springs A pendulum exhibits harmonic motion. A complete cycle is called an oscillation. The maximum.
Physics 141Mechanics Lecture 21 Oscillation Yongli Gao You may not know it, but every atom/molecule in your body is oscillating. For any system, there's.
Simple Harmonic Motion
Simple Harmonic Motion (SHM). Simple Harmonic Motion – Vibration about an equilibrium position in which a restoring force is proportional to displacement.
Simple Harmonic Motion (SHM)
-Simple Pendulum -Damped and Forced Oscillations -Resonance AP Physics C Mrs. Coyle Mrs. Coyle.
1© Manhattan Press (H.K.) Ltd. Forced oscillation Resonance Resonance 7.8 Forced oscillation and resonance Experiments for forced oscillation and resonance.
PHY238Y Lecture 3 Damped oscillations Forced oscillations. Resonance References: Halliday, Resnick, Walker: Fundamentals of Physics, 6 th edition, John.
Simple Harmonic Motion Waves 14.2 Simple Harmonic motion (SHM ) 14-3 Energy in the Simple Harmonic Oscillator 14-5 The Simple Pendulum 14-6 The Physical.
Simple Harmonic Motion
Applications of SHM and Energy
Periodic Motion Oscillations: Stable Equilibrium: U  ½kx2 F  kx
Unit 4: Oscillatory Motion and Mechanical Waves
Chapter 11 Vibrations and SHM.
QuickCheck 14.4 A block oscillates on a very long horizontal spring. The graph shows the block’s kinetic energy as a function of position. What is the.
Oscillatory Motion.
Swings.
10.4 The Pendulum.
Physics A First Course Vibrations, Waves, and Sound Chapter 19.
Harmonic Motion (II) Mass and Spring Energy in SHM
Swings.
Chapter 15 Oscillations.
Chapter 15: Oscillatory motion
Periodic Motion Oscillations: Stable Equilibrium: U  ½kx2 F  -kx
Hooke’s Law Period of oscillators
Simple Harmonic Motion:
Presentation transcript:

Simple Harmonic Motion and Waves December 1, 2010 PHYS16 – Lecture 33 Xkcd.com Simple Harmonic Motion and Waves December 1, 2010

Outline for Oscillations Simple Harmonic Motion Position, Velocity, Acceleration Force Energy Phase Damping Resonance Waves Mechanical waves Interference Standing waves

Simple Harmonic Motion – Cheat Sheet Position, Velocity, and Acceleration Restoring Force gives ang. freq. dependence

Simple Harmonic Motion: Restoring Force

Example Question What is the period of a pendulum? Where is the restoring force the greatest? Where is tension the greatest? Restoring force – At top of swing! Tension – At bottom of swing http://upload.wikimedia.org/wikipedia/en/thumb/a/a8/Pendulum.png/300px-Pendulum.png

Simple Harmonic Motion: Energy

Energy in SHM http://www.farraguttn.com/science/milligan/APPhys/SHMOver_files/image022.jpg

Example Question A 0.5-kg mass hits a spring with a velocity of 2 m/s. The spring starts in its equilibrium position and has a spring constant of 0.5 N/m. What is the amplitude of the oscillation? A = 2 m

Simple Harmonic Motion: Phase

Phase What happens if at t=0, x doesn’t equal 0? http://www.learner.org/courses/mathilluminated/images/units/10/1858.png

Simple Harmonic Motion: Damping and Resonance

Damping Damping – when a force (friction, air drag) causes the oscillator to lose energy A http://beltoforion.de/pendulum_revisited/Damped_oscillation_graph2.png

Resonance Resonance – when a driving force has the same frequency of oscillation as the oscillator

Example Question 1 A mass on a spring is driven at a driving frequency (red curve) and the resulting position vs. time of the mass is given (blue curve). Which case is closest to resonance?

Example Question 2 When would you want to have resonance or damping? When would resonance or damping be unwanted? Damping – when you don’t want oscillations: buildings, bridges Resonance – when you want to have oscillations: pushing a kid on a swing, making standing waves in cavity

Main Points - SHM Movement is dependent upon amplitude, period and phase Restoring Force creates oscillation Energy is dependent on amplitude Damping decreases A, Resonance increases A

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2025 SlidePlayer.com. Inc. All rights reserved.