PHYS 211 2013 Exam 3
Your name:_ _
Each problem is worth 10 points. Return this sheet with your solutions.
You will only get complete credit for a problem if you fully explain your answers.
Problem 1
A long string of mass 1.0 g cm-1 is joined to a long st
Assignment 1 report
f(t) = sin(4t)
f(t) = sin(7t)
f(t) = sin(4t)sin(7t)
1.0
sin ( 7 t ) , and their product sin ( 4 t ) sin ( 7 t ) . From
0.5
careful inspection of figure 1 (or by plotting to t = 2),
we see that the product has period, P = 2. This can be
Dominick Guida
Dylan Hilligoss
PHYS208 030L
Electric Fields and Electric Potentials
Introduction:
In this lab, our goal was to find the lines of equal potential due to charges of
different shapes. Also, we were tasked with mapping the electric field lines
Dylan Hilligoss
Physics 211
Clem
Physics 211 Homework Assignment 1
1. y=sin(4t)
y=sin(7t)
y=(sin(4t)*sin(7t)
2. y=sin2(4t)
Dylan Hilligoss
Physics 211
Clem
y=cos2(4t)
The average value for both graphs is equal to . This can be determined because the
inter
PHYS 211 2013 Exam 2
Your name:_Solutions_
You will only get complete credit for a problem if you fully explain your answer.
Problem 1 - Forced oscillations
A mass m is connected to a horizontal spring with spring constant k. The other end of the spring i
PHYS 211 Exam 1
Your name:_Solutions_
Each problem is worth 10 points. Return this sheet with your solutions.
You will only get complete credit for a problem if you fully explain your answer.
Problem 1
A mass of 0.5 kg is attached to a spring with a sprin
Use of the Fourier series
We would like to study the behavior of a damped harmonic oscillator that is driven by a force F(t) as
shown in figure 1. Unfortunately, we have only learned how to solve this type of problem for a driving
force of the form F ( t
Assignment 6 report
Text book problems
5.3. (a) Show that the following are solutions to the one-dimensional wave equation
(i) y = A sin 2 (t x / v), (ii) y = A sin ( 2 ) ( x + vt ), (iii) y = A sin 2 ( x t T ),
(iv) y = Aei (t + kx ) , and (v) y = Acos(1
Coupled oscillations
Consider two masses connected as shown below by springs. The left end of the leftmost spring is
attached to a rigid immovable wall. There is no dissipation. The springs have equal strength but the
masses are different.
k
k
m
M
x1
x2
Assignment 5 report - Coupled oscillations
The equations of motion for the two masses shown in figure 1 are
Mx1 = kx1 + k ( x2 x1 ) = k ( x2 2 x1 ) ,
mx2 = k ( x2 x1 ) .
(1.1)
Figure 1. System of two unequal masses connected by springs to a rigid support
Assignment 4 report - Text book problems
3.1. A mass of 0.03 kg rests on a horizontal table and is attached to one end of a spring of spring constant
12 N m-1. The other end is of the spring is attached to a rigid support. The mass is subjected to a harmo
A numerical study of the damped harmonic oscillator
The aim of this project is to use Origins numerical differentiation and integration abilities to check that
for a damped harmonic oscillator the power of the damping force is equal to the rate of change
A numerical study of the damped harmonic oscillator
We have a damped harmonic oscillator with the following properties
1) The mass, m, is 200 g.
2) The damping constant, = 1 s-1.
3) The oscillation frequency, = 20 rad s -1.
4) In the absence of damping, t
Assignment 2 report
Text book problems
1.8. We might assume that the period of a simple pendulum depends on the mass m, the length l of the
string and g the acceleration due to gravity, i.e. T m l g , where , and are constants. Consider
the dimensions of
Looking at some of trigonometric functions from the trigonometric
exercises
1. Make a graph (using Origin) that contains the functions sin4 t , sin7 t and sin4 t sin7 t over
the interval 0 t 1 .
2. Make a graph that contains the functions sin2 4 t and cos
Dylan Hilligoss
Dominick Guida
PHYS208 030L
Data Analysis with Origin
Introduction:
In this lab we plan to familiarize ourselves with the Origin computer software to help in future
labs.
Procedure:
In this lab, we familiarized ourselves with the Origin so