Chapter 11: Harmonic Motion

Slides:

Advertisements

Similar presentations

Chapter 14 - Simple Harmonic Motion

Advertisements

Simple Harmonic Motion and Elasticity

Physics January

Chapter 13 Oscillations About Equilibrium

Horizontal Spring-Block Oscillators

Chapter 5 Kinetic Energy

Simple Harmonic Motion

P H Y S I C S Chapter 7: Waves and Vibrations Section 7B: SHM of a Pendulum.

Simple Harmonic Motion & Elasticity

Simple Harmonic Motion

Measuring Simple Harmonic Motion

Physics 6B Oscillations Prepared by Vince Zaccone

Simple Harmonic Motion

SPRING-MASS OSCILLATORS AP Physics Unit 8. Recall Hooke’s Law Applied force (F applied ) stretches or compresses spring from its natural length Restoring.

Simple Harmonic Motion

Simple Harmonic Motion

Vibrations and Waves Hooke’s Law Elastic Potential Energy Comparing SHM with Uniform Circular Motion Position, Velocity and Acceleration.

Photo by Mark Tippens A TRAMPOLINE exerts a restoring force on the jumper that is directly proportional to the average force required to displace the.

Vibrations and Waves m Physics 2053 Lecture Notes Vibrations and Waves.

Periodic Motion. Definition of Terms Periodic Motion: Motion that repeats itself in a regular pattern. Periodic Motion: Motion that repeats itself in.

Oscillations and Waves An oscillation is a repetitive motion back and forth around a central point which is usually an equilibrium position. A special.

Chapter 12 Simple Harmonic Motion Photo by Mark Tippens A TRAMPOLINE exerts a restoring force on the jumper that is directly proportional to the average.

Oscillations - SHM. Oscillations In general an oscillation is simply aback and forth motion Since the motion repeats itself, it is called periodic We.

Simple Harmonic Motion

Physics 203 – College Physics I Department of Physics – The Citadel Physics 203 College Physics I Fall 2012 S. A. Yost Chapter 11 Simple Harmonic Motion.

CP Physics Chapter 12 Waves. Hooke’s Law F spring = kx During the periodic motion At equilibrium, velocity reaches a maximum (b) At maximum displacement,

Chapter 11 Vibrations and Waves.

Ch. 13 Oscillations About Equilibrium

Simple Harmonic Motion

Periodic Motion Motion that repeats itself over a fixed and reproducible period of time is called periodic motion. The revolution of a planet about its.

Chapter 15 Oscillations. Periodic motion Periodic (harmonic) motion – self-repeating motion Oscillation – periodic motion in certain direction Period.

{ SHM Simple Harmonic Motion. Simply put, simple harmonic motion is a motion ‘back and forth’ away from and back to equilibrium In SHM, the motion is.

SIMPLE HARMONIC MOTION. STARTER MAKE A LIST OF OBJECTS THAT EXPERIENCE VIBRATIONS:

Simple Harmonic Motion. Periodic Motion When a vibration or oscillation repeats itself over the same time period.

Chapter 12 Vibrations and Waves. Periodic Motion Any repeated motion Examples?

Phys 250 Ch14 p1 Chapter 13: Periodic Motion What we already know: Elastic Potential Energy energy stored in a stretched/compressed spring Force: Hooke’s.

Lecture 18: Elasticity and Oscillations I l Simple Harmonic Motion: Definition l Springs: Forces l Springs: Energy l Simple Harmonic Motion: Equations.

Whenever the force acting on an object is: Whenever the force acting on an object is: 1. Proportional to the displacement 2. In the opposite direction,

Chapter 11 Vibrations and Waves. Simple harmonic motion Measuring simple harmonic motion Properties of waves Wave interactions.

Simple Harmonic Motion Periodic Motion Simple periodic motion is that motion in which a body moves back and forth over a fixed path, returning to each.

Physics Section 11.2 Apply properties of pendulums and springs A pendulum exhibits harmonic motion. A complete cycle is called an oscillation. The maximum.

Any regular vibrations or oscillations that repeat the same movement on either side of the equilibrium position and are a result of a restoring force Simple.

PHY 151: Lecture Motion of an Object attached to a Spring 12.2 Particle in Simple Harmonic Motion 12.3 Energy of the Simple Harmonic Oscillator.

Simple Harmonic Motion (SHM). Simple Harmonic Motion – Vibration about an equilibrium position in which a restoring force is proportional to displacement.

Simple Harmonic Motion  Simple Harmonic Motion – Vibration about an equilibrium position in which a restoring force is proportional to the displacement.

Simple Harmonic Motion Wenny Maulina Simple harmonic motion  Simple harmonic motion (SHM) Solution: What is SHM? A simple harmonic motion is the motion.

Simple Harmonic Motion (SHM)

STARTER The period of a pendulum depends on: a.The mass. b.The string length. c.The release angle. d.All of these. The period of a pendulum depends on:

Chapter 14 – Vibrations and Waves. Every swing follows the same path This action is an example of vibrational motion vibrational motion - mechanical oscillations.

Physics Section 11.1 Apply harmonic motion

Simple Harmonic Motion

Periodic Motion Oscillations: Stable Equilibrium: U  ½kx2 F  kx

Oscillations An Introduction.

Unit 4: Oscillatory Motion and Mechanical Waves

Chapter 11: Vibrations and Waves Section 1: Simple Harmonic Motion

Simple Harmonic Motion (SHM)

Oscillations An Introduction.

Chapter 12 Vibrations and Waves.

Simple Harmonic Motion

Simple Harmonic Motion

Simple Harmonic Motion

Simple Harmonic Motion

Simple Harmonic Motion Lesson 2

Periodic Motion Oscillations: Stable Equilibrium: U  ½kx2 F  -kx

Hooke’s Law Period of oscillators

Hooke’s Law Period of oscillators

Simple Harmonic Motion

Simple Harmonic Motion and Wave Interactions

Presentation transcript:

Chapter 11: Harmonic Motion Elastic Potential Energy energy stored in a stretched/compressed spring Force: Hooke’s Law F = kx F = 0 F = k x/2 F = k x x unstretched half stretched stretched

A horizontal spring had a force constant of 90 N/m. A mass of 1 A horizontal spring had a force constant of 90 N/m. A mass of 1.5 kg is attached free end. The spring is then compressed by 50 cm, and then released. What is the speed of the mass when it returns to the equilibrium position?

Simple Harmonic Motion: oscillations Period T = time for one complete oscillation frequency f = number of oscillations per time usually number per second (1 cycle/sec = 1 Hertz = 1Hz) f = 1/T for a restoring force (equilibrium) + inertia Fr = kx plus F = ma

Position, speed and acceleration in simple harmonic motion x maximum speed at x = 0 Amplitude A = xmax v = 0 when x = xmax x = A cos 2ft = A cos t t

Example: An object undergoes SHM with a frequency of 20 Hz and a maximum speed of 2.5 m/s. What is the amplitude of the motion? What is the object’s displacement when its speed is 1.5 m/s?

mass m on a string of length L The Simple Pendulum mass m on a string of length L x s mg T Fnet L Example: How long should a pendulum be in order to have a period of 1.0 s?