Chapter 15: Periodic Motion
Why does the period of a swing depend only on length and not the mass of the child or the maximum angle you reach?
LECTURE 1
1
Any motion that repeats itself at regular time intervals is called
periodic motion.
The time interva
Quiz: Determining amplitude
An oscillator with angular frequency of 1.00 s-1 has initial displacement of 1.00 m and initial
velocity of 1.72 m/s. What is the amplitude of oscillation?
LECTURE 2
1
An oscillator with angular frequency of 1.00 s-1 has initia
Huygens principle states that any wavefront can be regarded
as a collection of closely spaced, coherent point sources.
Obstacles or apertures whose width is smaller than the
wavelength of an incident wave give rise to considerable
spreading of that wave.
Fouriers theorem states that any periodic function with period
can be written as a sum of sinusoidal functions of frequency
=
Section 15.3
Fouriers theorem
where 1 is an integer.
1 is called the fundamental frequency or the first harmonic.
All other com
Reading quiz: 6-1 d
The graph shows a sound wave consisting of a sinusoidal
displacement of air particles versus time, as recorded at a
fixed location. For sinusoidal waves, it is possible to
identify a specific frequency (rate of oscillation) and
wavelen
Linear mass density for a uniform linear object is defined as
The wave speed of a transverse wave on a string is
Section 16.7
=
Wave speed
(In lab this week you will use this to
determine properties of the wave
medium)
where is the string tension.
LECTURE
When a particle of the string is displaced from its equilibrium
position, its velocity and acceleration are determined only
by the initial disturbance and are independent of the wave
speed c.
Section 16.2
Wave propagation
For a given disturbance, high wav
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I.
first
Matter Waves A beam of neutrons (rest mass 1.67510-27 kg) of kinetic energy
7.5410-15 J strikes a target that contains a single slit. Assume that the slit is very small (subatomic-sized) dimension in the horizontal
Seth Chhorn
10-4-16
Lab #5
Simple Pendulum
We simply measured length of the string for L. To find L mathematically we can
manipulate the equation of g = L(2Pi/T)2 by L = [g/(2Pi/T)2]. As we increased the angle of the
release it takes longer time for one a
Seth Chhorn
09/17/2016
Physic201
Lab #3
Projectile Motion Writing Assignment
Summary: At the beginning of the class, equations are used to determine the velocity and range
when fired at the arbitrary angle. Next, the projectile was fired at zero angle fiv
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IV. [20 points total]
Two blocks, A and B, slide up frictionless ramps
inclined at angles and respectively ( < ).
Each block travels the same distance d along the
ramp between t = 0.5 s and t = 1.5 s.
t=?
P
Block A
t =
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last
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I. The figure shows velocity
versus time for an object (car)
moving along a straight track.
The initial position of the object
at time t = 0 is known to be
x0 = +0.5 m, and its initial
velocity is v0 = -1.5 m/s.
+2
Student ID Number _
v
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last
Lab questions
In Lab 3 you studied Force vs. Time and Velocity vs.
Time plots for a cart pulled by a string attached to a
weight over a pulley. You should have some
expectation for the range of accelerations you would
measur
Clicker Questions
Physics 121, Winter 2013
Lecture Instructor: Nikolai Tolich
Not asked
Clicker Question 1-1
Calculate 2.564 x 102 + 5 x 10-1, and
express your answer in scientific notation.
a)
b)
c)
d)
256.9
2.569 x 101
2.569 x 102
7.564 x 101
Not asked
Exam Solutions
Instructor: Nikolai Tolich
January 27, 2013
Part I
1
The correct answer is C.
2
First we need to calculate the acceleration. Note the initial velocity, v0 =
0 m/s, and initial position, x0 = 0 m. Using
1 2
at + v0 t + x0
2
1
a (1 s)2
1m =
2
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Lab questions.
A velocity vs. time graph for a cart
on a track is shown at right. On
one end of the track is a motion
sensor that operates identically to
the motion sensor you used in your
lab.
1. [3 pts] During th
Practice Exam Solutions
Instructor: Nikolai Tolich
January 23, 2013
Part I
1
The correct answer is B.
2
Velocity is represented by the slope of the function plotted. The minimum
magnitude of the slope is zero at points B, D, and E.
3
The objects starts at
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I)LectureMultipleChoice(9questions,45pointstotal)
1. (5points)
Thegraphrepresentsthevelocityasafunctionoftimeforanobject
inonedimensionalmotion.Identifywhichstatementbelow
correctlydescribesthemotionatt=1s.
A) Theobj
Tutorial Homework:
Wavepulses
Name_
A. A method for generating a wavepulse is to move one end
d
of a spring quickly up a distance d and then back down
(see figure). The hand takes the same amount of time to
move up as to move down. Consider a second
w
wav
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Part I. [55 Points] Please be sure to mark all answers for problems 1-13 on your scantron sheet!
1. [5 Points] An electron diffracts through a slit of size 1.0 10 m. What is its velocity if the first
minima occurs at a
123 Final Exam Equations, Tipler Chapters 30-40 and more
Miscellaneous:
v k f
y( x, t ) A sin kx t
h 6.626 1034 J s 4.136 1015 eV s
1
T 2
me 9.109 10 31 kg
1 u 1.661 1027 kg 931.5 MeV/c 2 k
Chapter 30 & 31:
EB
S
0 0
u ue um 0 E 2
0
f 12 r
n1 n2 n2
FINAL EXAM TOPICS
General Relativity, Astrophysics, Modern
Applications (Last 2 Days)
[10 pts]
Nuclear Physics
[17 pts]
o Binding Energy
Fission and Fusion
o Radioactivity
, , : How They Work
o Modeling Exponential Decay
Decay Rate
Decay Constant &
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IV.
Score_
[20 points total] This question consists of two independent parts, A and B.
+Qo
A. Three identical positive point charges are arranged in an equilateral triangle.
Point A is at the center of the triangle and B is
Name Student ID Score
last rst
Question III: Magnetic induction
For problems 10 - I 1 use the following: An airplane is moving horizontally with a
constant velocity and Without rotation in the Earths magnetic eld. Assume that the
magnetic eld is vertica
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first
I. A ball with two strings attached follows the dotted circular path,
a horizontal circle of diameter 0.74 m. The ball has mass m = 0.91 kg,
and each string makes a different angle to the vertical as shown.
Assume tha
R1
C2
R3
V1
C1
V2
R2
The capacitors in the circuit shown above are completely discharged at time equal 0. If V1=20 V,
V2=10 V, C1=C2=10 f, R1=R2=R3=100 .
1) Find the current in each resistor immediately after the switches are closed.
Each Capacitor is a s