Physics 2214
General Information
Spring 2012
Physics 2214 is the final semester of a three-semester introductory physics sequence. It
covers a wide range of topics essential to those interested in pursuing careers in science and
engineering, and of direct
Physics 2214 Spring 2012
Homework 4 Solutions
1
1. Sound waves in air.
a) Equate thermal and kinetic energies and solve for v:
123
3k BT
mv = k BT v =
=
m
2
2
J
( 3) (1.38 1023 K ) ( 293 K )
= 511
kg
( 28 amu ) (1.66 1027 amu )
m
s
The rms velocity is gre
Physics 2214 Formula Sheet for Prelim 1
Damped and driven oscillations
A
F = k(x x eq )
k
0
m
dx
F D amping = b
dt
B
B
(
A
F0 / m
D ) i (2
F0 / m
2
0
(
2
2
0
t/ A
cos (
A0 e
= 2m/b = 2
Q= 1 A 0
2
B
TB
tan
t
0
22
)
D
B
x (t )
T
B
1
) xeq
2
D
0
/
A
D
/
(2
A
Answers to In-Lecture Multiple Choice Questions - Lectures 1-12
Complex numbers and functions:
1-1: C
1-2: D
1-3: C
1-4: D
1-5: B
1-6: D
L1-1: A
L1-2: A
L1-3: B
L1-4: A
L1-5: D
L1-6: C, D, D, E, E
L1-7: E
L1-8: B
L1-9: B
L1-10: B
L1-11: A
L1-12: C
L1-13:
PHYS 2214 Homework 1 Solutions
1. x(t) = A cos(t + )
(a)
i.
ii.
iii.
dx
= A sin(t + )
dt
d2 x
= 2 A cos(t + )
dt2
1 d2 x
= 2
x dt2
(b)
d2 x
+ cx = 0
dt2
a[ 2 a cos(t + ) + cA cos(t + ) = 0
2 a cos(t + )] + cA cos(t + ) = 0
A( 2 a + c) cos(t + ) = 0
a
For
PHYS 2214 Homework 2 Solutions
1. (a) The requirements for simple harmonic motion (SHM) are (i) F (xeq ) =
0 and (ii) dF/dx|xeq < 0. So, these are satised at points B and
G.
(b) At a point of unstable equilibrium, F (xeq ) = 0 but dF/dx|xeq > 0.
This is t
Physics 2214
Prelim 1
730-9 pm, March 9, 2010
Your Name:
_
Section Number:
Section Instructor:
Problem
Points
1-4
23
5
8
6
7
7
20
8
15
9
12
10
15
TOTAL
Your Score
100
Instructions:
Please write your name, section number and section instructor at the top.
L1-1
L1-2
Lecture 1-3 Multiple Choice Questions
The graph shows the net force F that acts on a
particle as a function of its position along the xaxis. Near which point(s) are oscillations
possible?
Which of the following describes the motion x(t)
shown be
TA's Name:_Section: _
Your Name: _
Physics 2214 Assignment 7
Concepts:
Energy and power in waves
Fourier analysis, non-sinusoidal drives
Maxwell equations in differential form
Reading:
Electromagnetic waves
Plane waves
Relation between E, B and v
Lecture
P2214 Homework 6 short answers Spring 2012
(1) f = f0 f0 = 1 f0
2
(2a) graph, beat = 3.43 m or 6.86 m (depending on how you look at it), = 0.167 m
(2b) graph, Tbeat = 0.02 s or 0.01 s (depending on how you look at it), T = 0.488 ms
(2c) 0.1 kHz and 2.05
TA's Name:_Section: _
Your Name: _
Physics 2214 Assignment 6
Concepts:
Reflection and Transmission of waves
Beats
Doppler Effect
Reading:
Energy and Power in waves
Fourier Analysis
Response to Nonsinusoidal Drives
Lecture Notes 10,11 and 12; Y&F, Vol. 1,
t
/
G
hJsicsJalV f l*r,tnlloo^l . S" u$'o"t
F
s
D u yyle, hift cfw_ *'*uLa'
6. o 'btefr"r
. s=soutrcA
f'= f fi[
'u 7 0 b ui u u,? /" c arr b u P u'cfw_vt 0 7 H gafirrc'
,
(
(01
1
drf cctrDniS fb^ obsa-rueruS ou"caj
,uosi$,ve
Ns- -1
m /s
A T ckH e =@
$o=
r
TA's Name:_Section: _
Your Name: _
Physics 2214 Assignment 9
Concepts:
Wave Reflection and Transmission
Snells Law
Oblique incidence: E| and B| expressions Critical angle; evanescent waves
Polarization by reflection; Brewsters Angle Power and Momentum of
Answers to Multiple Choice Questions 19-27
19-1: B
19-2: A
19-3: A
19-4: C
19-5: B, D
19-6: A
19-7: E
19-8: C (assuming 0 phase shift on reflection); D if phase shift.
19-9: D
19-10: C
19-11: B
19-12: E
19-13: D
21-1: A
21-2: D
21-3: C
21-4: B
21-5: B, F,