Simple Harmonic Motion Physics Ms. Shaver. Periodic Motion.

Slides:

Advertisements

Similar presentations

Physics January

Advertisements

Chapter 13 Oscillations About Equilibrium

Pendulums Simple pendulums ignore friction, air resistance, mass of string Physical pendulums take into account mass distribution, friction, air resistance.

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

Measuring Simple Harmonic Motion

Springs And pendula, and energy. Harmonic Motion Pendula and springs are examples of things that go through simple harmonic motion. Simple harmonic motion.

Simple Harmonic Motion

Measuring Simple Harmonic Motion

Holt Physics Chapter 11 Vibrations and Waves Simple Harmonic Motion Simple Harmonic Motion – vibration about an equilibrium position in which a restoring.

Describing Periodic Motion AP Physics. Hooke’s Law.

PERIODIC MOTION occurs when a body moves repeatedly over the same path in equal intervals of time. SIMPLE HARMONIC MOTION is linear periodic motion in.

Springs and Pendulums.

Simple Harmonic Motion

Simple Harmonic Motion

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

Section 2 Measuring simple harmonic motion. Amplitude, Period and Frequency.

1 15.1Motion of an Object Attached to a Spring 15.2Particle in Simple Harmonic Motion 15.5The pendulum.

SHM occurs when an object oscillates back and forth over the same path. Examples 1. 2.

Chapter 11 Vibrations and Waves Phy 2053 Conceptual Questions.

Simple Harmonic Motion Physics Mrs. Coyle. Periodic Motion.

S IMPLE H ARMONIC M OTION Pendulums & Longitudinal Waves.

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.

Chapter 11 Vibrations and Waves.

Ch. 13 Oscillations About Equilibrium

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

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.

Simple Harmonic Motion Oscillatory Motion. Definition Repetitive back-and-forth movement through a central, or equilibrium, position in which the maximum.

Simple Harmonic Motion. Definitions Periodic Motion – When a vibration or oscillation repeats itself over the same path Simple Harmonic Motion – A specific.

Physics Vibrations and Waves 11.1 Simple Harmonic Motion 11.2 Energy in SHM 11.3 Period and sinusoidal nature of SHM 11.4 The Simple Pendulum.

Periodic Motion What is periodic motion?

Simple Harmonic Motion This type of motion is the most pervasive motion in the universe. All atoms oscillate under harmonic motion. We can model this motion.

Simple Harmonic Motion A pendulum swinging from side to side is an example of both periodic and simple harmonic motion. Periodic motion is when an object.

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

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

APHY201 1/30/ Simple Harmonic Motion   Periodic oscillations   Restoring Force: F = -kx   Force and acceleration are not constant  

Springs Hooke’s Law (Fs) Spring Constant (k)

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.

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,

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

Examples of oscillating motion are all around us… a child on a swing, a boat bobbing up and down in the ocean, a piston in the engine of a car, a vibrating.

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.

S H M a n d W a v e s B a s i c s. T h e O s c i l l a t o r When displaced from its vertical equilibrium position, this plastic ruler oscillates back.

Simple Harmonic Motion Repeated motion with a restoring force that is proportional to the displacement. A pendulum swings back and forth. pendulum A spring.

Energy and its Conservation Physics Mrs. Coyle. Part I Mechanical Energy – Potential – Kinetic Work Energy Theorem.

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.

Plan for Today (AP Physics 1)

11.1 Notes Vibrations and Waves.

Simple Harmonic Motion

Simple Harmonic Motion

Oscillations An Introduction.

Simple Harmonic Motion

Harmonic Motion Chapter 11 Mr. Rassi.

Oscillations An Introduction.

Chapter 12 Vibrations and Waves.

Simple Harmonic Motion

Measuring Harmonic Motion

Chapter 15 Oscillations.

Simple Harmonic Motion

Simple Harmonic Motion and Wave Interactions

Simple Harmonic Motion:

Presentation transcript:

Simple Harmonic Motion Physics Ms. Shaver

Periodic Motion

Simple Harmonic Motion: 1.Is a periodic motion that repeats at constant frequency. 2.Has a restoring force that acts to restore the oscillator to equilibrium. F=-kx Hooke’s Law x: displacement from equilibrium k: spring constant

Characteristic Quantities of Simple Harmonic Motion Displacement: distance from equilibrium. Amplitude: maximum displacement

Characteristic Quantities of Simple Harmonic Motion Frequency: oscillations per unit time –Unit: 1/sec =Hertz Period: time to complete one oscillation –Unit: sec f=1/T T=1/f

Simple Harmonic Motion Velocity: –maximum as it passes through equilibrium –zero as it passes through the extreme positions in its oscillation. Acceleration: a=F/m = -kx/m -maximum at extreme points -zero at equilibrium

Mass on a Spring Applet:

Position vs Time Graph of Mass on Spring (Sine Curve) a)What is the amplitude? b)What is the period? c) What total distance does the particle travel in one period? x

Period of A Spring Mass Oscillator ____ T=2  √m/k T period (s) m mass (kg) k spring constant (N/m)

Problem Calculate the period of a mass of 5kg on a spring that has a spring constant of 20N/m. Answer: 3s

Question If you had a spring-mass system on the moon, would the period be the same or different than that of this system on the earth? NO. mass and spring constant do not depend on gravity.

Solve for m or k

Harmonic Motion of a Pendulum Applets: ons6e/index.htm?newwindow=true ons6e/index.htm?newwindow=true L

Harmonic Motion of a Pendulum ons6e/index.htm?newwindow=truehttp://www3.interscience.wiley.com:8100/legacy/college/halliday/ /simulati ons6e/index.htm?newwindow=true Period ___ T=2  √L/g g=9.8m/s 2 L=length of string L

Problem Calculate the Period of a pendulum of length 0.75 m. Answer: 1.7s

Question If you had a pendulum on the moon would its period be the same or different compared to the same pendulum on the earth? Different because the period depends on gravity, which on the moon is 1.62 m/s 2

Solving for g or L

Questions Does the period of a pendulum depend on the mass of the bob? If you increase the length of the pendulum string, what happens to the period? NO. There is no m in the equation. It will increase by the square root of L.

Calculating k from a F vs x Graph k is the slope of a F vs x graph Slope = rise/run = 100 N/5 m = 20 N/m F = -kx Y = mx + b