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.

Slides:

Advertisements

Similar presentations

Simple Harmonic Motion and Elasticity

Advertisements

Physics January

Chapter 13 Oscillations About Equilibrium

Horizontal Spring-Block Oscillators

Chapter 5 Kinetic Energy

Adapted from Holt book on physics

Physics 101: Lecture 21, Pg 1 Lecture 21: Ideal Spring and Simple Harmonic Motion l New Material: Textbook Chapters 10.1, 10.2 and 10.3.

Simple Harmonic Motion & Elasticity

Physics 6B Oscillations Prepared by Vince Zaccone

Describing Periodic Motion AP Physics. Hooke’s Law.

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.

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

Simple Harmonic Motion

Ch.10 Elasticity & Oscillations Problems: 3, 4, 27, 29. Elastic deformation Hooke’s Law Simple Harmonic Motion (SHM) period & frequency of SHM (sections.

Simple Harmonic Motion

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

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.

Simple Harmonic Motion. l Vibrations è Vocal cords when singing/speaking è String/rubber band l Simple Harmonic Motion è Restoring force proportional.

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

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

Copyright © 2009 Pearson Education, Inc. Oscillations of a Spring Simple Harmonic Motion Energy in the Simple Harmonic Oscillator The Simple Pendulum Lecture.

Chapter 11 Vibrations and Waves.

Ch. 13 Oscillations About Equilibrium

Simple Harmonic Motion

Chapter 6--Potential Energy of a Spring System Surroundings.

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.

{ 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. Ideal Springs F Applied =kx k = spring constant x = displacement of the spring +x  pulled displacement -x  compressed displacement.

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.

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

Physics 101: Lecture 18, Pg 1 Physics 101: Lecture 18 Elasticity and Oscillations Exam III.

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.

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.

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

Vocabulary (Due Tue 3/20):

Simple Harmonic Motion & Elasticity

Unit D: Oscillatory Motion & Mechanical Waves

Simple Harmonic Motion

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

Oscillations An Introduction.

Unit 4: Oscillatory Motion and Mechanical Waves

PHYS 1441 – Section 004 Lecture #22

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

Chapter 12 Vibrations and Waves.

Simple Harmonic Motion

Simple Harmonic Motion

Simple Harmonic Motion Lesson 2

Simple Harmonic Motion

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

Hooke’s Law Period of oscillators

Hooke’s Law Period of oscillators

Simple Harmonic Motion

Ch. 12 Waves pgs

Simple Harmonic Motion and Wave Interactions

Presentation transcript:

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 Law F = kx k = spring constant F = 0 F = k x/2 F = k x x unstretched half stretched stretched

Phys 250 Ch14 p2 Oscillations: Stable Equilibrium: U  ½kx 2 F   kx (small) displacement from equilibrium generates restoring force inertia apply F = ma Amplitude A = maximum displacement from equilibrium Period T = time for one full cycle Frequency f = number of cycles per unit time = 1/T A AA A U U x

Phys 250 Ch14 p3 Example(14.2): A spring with a spring constant of 9.5 N/m is placed horizontally. A 0.35 kg block is placed at the end of the spring and the spring is compressed 6.0 cm. What is the initial force on the block? What is the initial acceleration of the block? Example: What is the natural frequency of oscillation for the mass-spring combination in the previous example? What s the period of oscillations?

Phys 250 Ch14 p4 Using Conservation of energy: Position, speed and acceleration in simple harmonic motion x t maximum speed at x = 0 Amplitude A = x max (x 0 } v = 0 when x = x max x = A cos 2  ft

Phys 250 Ch14 p5 Example: A mass of 0.35 kg oscillates on a spring with a spring constant of 9.5 N/m. If the spring is initially compressed by 5cm and released from rest. -What is the energy of the oscillations? -What is the maximum speed of the mass? -What is the speed of the mass when it is 3cm from equilibrium?

Phys 250 Ch14 p6 The Simple Pendulum mass m on a string of length L x s mg T F net L L Example: How long should a pendulum be in order to have a period of 1.0 s?