Unit 4: Oscillatory Motion and Mechanical Waves

Slides:

Advertisements

Similar presentations

Physics January

Advertisements

Oscillations © 2014 Pearson Education, Inc. Periodic Motion Periodic motion is that motion in which a body moves back and forth over a fixed path, returning.

Oscillations Phys101 Lectures 28, 29 Key points:

Springs and Pendulums.

Chapter 13 SHM? WOD are underlined. Remember Hooke’s Law F = - k Δx New Symbol: “k” Spring constant. “Stiffness” of the spring. Depends on each spring’s.

Simple Harmonic Motion

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

Simple Harmonic Motion

Simple Harmonic Motion Syll. State SS/Note template due next Monday (get note template from the website)

Simple Harmonic Motion Reminders: Syll. State Due Tuesday WA due Tuesday Quiz Tuesday.

Chapter 11 - Simple Harmonic Motion

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

Springs We are used to dealing with constant forces. Springs are more complicated - not only does the magnitude of the spring force vary, the direction.

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.

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

P H Y S I C S Chapter 7: Waves and Vibrations Section 7A: Hooke's Law and SHM of a Mass-Spring System.

Oscillations – motions that repeat themselves Period ( T ) – the time for one complete oscillation Frequency ( f ) – the number of oscillations completed.

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

When a weight is added to a spring and stretched, the released spring will follow a back and forth motion.

Lab 9: Simple Harmonic Motion, Mass-Spring Only 3 more to go!! The force due to a spring is, F = -kx, where k is the spring constant and x is the displacement.

11/18 Simple Harmonic Motion  HW “Simple Harmonic Motion” Due Thursday 11/21  Exam 4 Thursday 12/5 Simple Harmonic Motion Angular Acceleration and Torque.

Simple Harmonic Motion

Chapter 11 Vibrations and Waves.

Oscillations – motions that repeat themselves Period ( T ) – the time for one complete oscillation Frequency ( f ) – the number of oscillations completed.

AP Physics B: Ch.10 - Elasticity and Simple Harmonic Motion Reading Assignment Cutnell and Johnson, Physics Chapter 10.

{ 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 Simple harmonic motion (SHM) refers to a certain kind of oscillatory, or wave-like motion that describes the behavior of many physical.

Chapter 11: Harmonic Motion

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 When a vibration or oscillation repeats itself back and forth over the same path, the motion is periodic. When an object.

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.

Vibrations and Waves Chapter 11. Most object oscillate (vibrate) because solids are elastic and they will vibrate when given an impulse Tuning forks,

Simple Harmonic Motion

Oscillations. Definitions Frequency If an object vibrates or oscillates back and forth over the same path, each cycle taking the same amount of time,

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.

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

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

Energy of Simple Harmonic Motion

Oscillations © 2014 Pearson Education, Inc..

Elastic Potential Energy & Simple Harmonic Motion

Simple Harmonic Motion

Simple Harmonic Motion

Simple Harmonic Motion

When a weight is added to a spring and stretched, the released spring will follow a back and forth motion.

Unit D: Oscillatory Motion & Mechanical Waves

AP Physics Lecture Notes

Simple Harmonic Motion

Simple Harmonic Motion

Oscillations An Introduction.

Harmonic Motion (III) Physics 1D03 - Lecture 33.

Simple Harmonic Motion and Hooke’s Law

Simple Harmonic Motion (SHM)

Oscillations An Introduction.

Vibrations & Waves Part 1: Periodic Motion.

Simple Harmonic Motion

Vibrations and Waves.

Simple Harmonic Motion

Simple Harmonic Motion

Simple Harmonic Motion Lesson 2

Simple Harmonic Motion

Ch. 12 Waves pgs

Simple Harmonic Motion and Wave Interactions

Simple Harmonic Motion:

Presentation transcript:

Unit 4: Oscillatory Motion and Mechanical Waves

Terms: Oscillation: a repetitive back and forth motion Cycle: one complete oscillation Period (T): time for one complete oscillation Frequency ( f ): number of oscillations per second.

Simple Harmonic Motion Repetitive back and forth motion Hooke’s Law Force varies directly with displacement Equilibrium position: spring is neither compressed or expanded. Spring Constant (k): spring stiffness (N/m) Slope of a F vs. x graph is the spring constant

Restoring Force: Force that moves the object back to its equilibrium position. Always acts in a direction opposite to the displacement When representing the restoring force:

Horizontal SHM Amplitude: maximum displacement. At max displacement, the restoring force is at maximum When the mass is let go, the mass will accelerate towards the equilibrium position. ( F = ma) As the mass moves through the equilibrium position, it will slow down.

Vertical SHM Mass will come to rest when Fg is equal to the upward pull of the spring (at equilibrium)

Example: An spring has a spring constant of 40.0 N/m. This spring is pulled with a force of 85.0 N to the left. What is the extension?

Example: A 675 g mass is hung vertically from a spring. If the spring has a constant of 15.0 N/m, how far was the spring stretched?

Homework: Page 347 #7, 9-12 Page 352 #1-2 Page 354 #1-2 Page 357 #1-2