Kognity Textbook Chap 4 - Use you ACS Login
IB Physics Site: Topic 4 - Comprehensive notes
IB Physics Site: Topic 4 - More notes
Topic 4 Flashcards - Vocab Devo.
Essential idea: A study of oscillations underpins many areas of physics with simple harmonic motion (shm), a fundamental oscillation that appears in various natural phenomena.
Nature of science:
Models: Oscillations play a great part in our lives, from the tides to the motion of the swinging pendulum that once governed our perception of time. General principles govern this area of physics, from water waves in the deep ocean or the oscillations of a car suspension system. This introduction to the topic reminds us that not all oscillations are isochronous. However, the simple harmonic oscillator is of great importance to physicists because all periodic oscillations can be described through the mathematics of simple harmonic motion. (1.10)
Understandings:
Simple harmonic oscillations
Time period, frequency, amplitude, displacement and phase difference
Conditions for simple harmonic motion
Applications and skills:
Qualitatively describing the energy changes taking place during one cycle of an oscillation
Sketching and interpreting graphs of simple harmonic motion examples
Guidance:
Graphs describing simple harmonic motion should include displacement–time, velocity–time, acceleration–time and acceleration–displacement
Students are expected to understand the significance of the negative sign in the relationship: a∝−X
Data booklet reference:
T=1/f
International-mindedness:
Oscillations are used to define the time systems on which nations agree so that the world can be kept in synchronization. This impacts most areas of our lives including the provision of electricity, travel and location-determining devices and all microelectronics.
Theory of knowledge:
The harmonic oscillator is a paradigm for modelling where a simple equation is used to describe a complex phenomenon. How do scientists know when a simple model is not detailed enough for their requirements?
Utilization:
Isochronous oscillations can be used to measure time
Many systems can approximate simple harmonic motion: mass on a spring, fluid in U-tube, models of icebergs oscillating vertically in the ocean, and motion of a sphere rolling in a concave mirror
Simple harmonic motion is frequently found in the context of mechanics (see Physics topic 2)
Aims:
Aim 6: experiments could include (but are not limited to): mass on a spring; simple pendulum; motion on a curved air track
Aim 7: IT skills can be used to model the simple harmonic motion defining equation; this gives valuable insight into the meaning of the equation itself
Where are we headed? Hidden wave effects in our daily lives.
Interference and the discovery of Gravitational Waves Posted by World Science Festival
Visualizing interference in the classroom.
Chromatic Aberration
Where do the colors come from?
How does your cell phone appear when magnified?
Polarized Light, Phones and Computers
Beats - Not by Dre
LabQuest
Levitating with Sound
A new combination of Forces - Restorative Forces
What is your restoring force?
Changing your equilibrium point
The graphs of Displacement (x) and acceleration (a) are 180˚ out of phase, therefore a α -x (α = proportional to...)
SMH Resources
Springs and Hooke's Law - Khan Academy Assignments Be sure to be logged in to your KA account.
SHM and Oscillations - Khan Academy Assignments Be sure to be logged in to your KA account.
SHM Overview
SHM Intro - A lot of math
SHM Energy - Follow up to #1
If you are really bored: The making of springs - The exciting part is at 4:07
OPTIONAL - For those into coding (very cool): Oscillation amplitude and period
Where:
ω = angular velocity (rad/s)A = Amplitude (m)x = Displacement a = Linear AccelerationMeasuring forces to pull you out of equilibrium (Hooke's Law)
F = -kx
Practice:
Using the simulation: PhET Masses and Springs
Describe the actions of MOS (Print this)
Using the simulation: PhET Pendulums
Describe the actions of a Pendulum (Print this)
Factors effecting the period of MOS and Pendulum.
Base v. Derived Units - The Joule
Measuring forces to pull you out of equilibrium (Hooke's Law)
Qualitative and Quantitative descriptions of spring
Data Collected
Information from a graph
Points
Slope
Area
Springs and Hooke's Law - Khan Academy Assignments Be sure to be logged in to your KA account.
SHM and Oscillations - Khan Academy Assignments Be sure to be logged in to your KA account.
SHM Overview
SHM Intro - A lot of math
SHM Energy - Follow up to #1
f you are really bored: The making of springs - The exciting part is at 4:07
OPTIONAL - For those into coding (very cool): Oscillation amplitude and period
Practice:
Using the simulation: PhET Masses and Springs
Describe the actions of MOS (Print this)
Using the simulation: PhET Pendulums
Describe the actions of a Pendulum (Print this)
Click on graph to download a copy of the LoggerPro Data.
Using the data in the LoggerPro data set:
Describe how the various graphs are related to each other.
You should be able to answer the following:
How does the velocity compare to displacement as it passes through one complete cycle?
Where are the forces of gravity and the spring equal?
How does the energy change through one oscillation?
Create an Acceleration v Position graph, follow the directions in class, to determine the period of mass on a spring.
Questions to Consider:
Suppose you were to use a larger mass, how would the motion of the mass differ?
Suppose you were to use a spring that was easier to pull back (weaker spring), how would the period compare to the spring you used in class?
Compare the motion, forces and energies in the mass on the spring to those of the bob of the pendulum.
How would the motion of the mass on a spring differ if it were to be placed on:
the moon?
Jupiter?
on the International Space Station (ISS)?