Tim AthertonTheoretical Physicist
Course on Electromagnetism in its broadest sense
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Lab 2: Standing Waves
The goal of the lab was to observe properties of a standing wave on a string with a fixed
frequency. The experiment aimed to examine the relationship between harmonic number n
and tension of string described by the equations
Homework 3 Show your work, and use the back as needed!
1. Chapter 2 Case 2. Revolving doors are popular in northern hotels and office buildings as a way to prevent
cold outside air from blowing directly into the lobby. Most revolving d
1) A transverse wave of amplitude 0.05m is propagating on a string to the right, as
indicated by the arrow on the figure below. The graph indicates the shape of the
string at a particular instant.
1) Two strings of the same material, one thick and the other thin, are joined together
to form one long string. A periodic wave, produced by an external mechanical
source maintaining the wave on the st
Sot— U TION S
1) Two springs, A and B, have the same spring constant (k). Spring A supports a
mass (mA) and spring B supports a mass (mg). The mass on spring A is half as
big as the mass on spring B.
(a) Which spring has
The motion of objects in one-dimension are described using word, diagrams, numbers, graphs, and
Newton's three laws of motion are explained and their application to the analysis of the motion of objects in
The motion of a particle in one dimension is simple. Its velocity is either
positive or negative: positive velocity corresponds to a motion to the right
while negative velocity corresponds to a motion to the left. To describe the
2. MOTION IN A STRAIGHT LINE
In mechanics we are interested in trying to understand the motion of objects. In
this chapter, the motion of objects in 1 dimension will be discussed. Motion in
1 dimension is motion along a straight line.
The position of an object along a straight line can be uniquely identified by its
distance from a (user chosen) origin. (see Figure 2.1). Note: the position is fully
specified by 1 coordinate (that is why this a 1 dimensional problem).
Oscillating system - Any system that always experiences a force acting against the
displacement of the system (restoring force).
Restoring force - A force that always acts against the displacement of the system.
Periodic Motion - Any motion in which
Energy of a Simple Harmonic Oscillator
Consider a simple harmonic oscillator completing one cycle. In the jargon of
conservative vs. nonconservative forces (see Conservation of Energy the
oscillator has completed a closed loop, and returns to its initial
Simple Harmonic Motion
>From our concept of a simple harmonic oscillator we can derive
rules for the motion of such a system. We start with our basic force
formula, F = - kx . UsingNewton's Second Law, we can substitute for
force in terms of acceleration:
Problem : At what point during the oscillation of a spring is the force on the mass greatest?
Recall that F = - kx . Thus the force on the mass will be greatest when the displacement of
the block is maximum, or when x = x m .
Problem : What is the period
We begin our study of oscillations by examining the general definition of an oscillating
system. From this definition we can examine the special case of harmonic oscillation, and
derive the motion of a harmonic system.
Definition of an Oscillating System
Variables of Oscillation
In an oscillating system, the traditional variables x , v , t , and a still apply to motion. But we
must introduce some new variables that describe the periodic nature of the motion:
amplitude, period, and frequency.
We have already studied the most common types of
motion: linear and rotational motion. We have developed the
concepts of work, energy, and momentum for these types of
motion. To complete our study of classical mechanics we must
finally examine the complic
The maximum compression of an
oscillating mass on a spring is 1 m, and
during one full oscillation the spring
travels at an average velocity of 4 m/s.
What is the period of the oscillation?
Since we are given average velocity,
and we want to fin
An object in circular motion has an easily defined period, frequency and angular velocity.
Can circular motion be considered an oscillation?
Though circular motion has many similarities to oscillations, it can not truly be considered an
The first thing that I did to my rocket had to deal with the flat nature of the bottom
of it. The bottom of the 2 liter bottle is flat and completely non aerodynamic, so I had to
make it into a shape that wo
Response Paper 5
After reading Millers factual essay about pizza, I feel like a pizza pundit. I feel as
if I now know all there is to know about pizza. It was interesting to find out facts about
something that I eat at lea
Response Paper 4
I greatly enjoyed reading Virginia Woolfs essay and found it interesting from
start to finish. I found it to be a great example of the connection between all life and the
continuing struggle to understand
Response Paper 3
When comparing this essay to the essay written by Sedaris, I think that it is a
much more serious tone. Instead of giving us a firm thesis, he poses a question to help us
create the thesis ourselves. His t
Snow Days: An Opportunity for Gratitude
It was what every kid wanted to hear on a cold winter morning No school due to
snow. I was a sixteen-year-old kid that had no motivation and no appreciation for
Response Paper 1
I found Sedaris article to be very time consuming and pointless. He blabbers on
about a pointless French class that he was in while in Paris. Throughout his article I found
myself thinking that I have neve
Response Paper 2
After reading My Inner Shrimp I immediately connected with the author and
knew exactly how he felt as a small person in stature. Although I have never been in a
situation quite like bullying or verbal abus