your name
Physics 321 Exam #1 - Wednesday, Oct 8
FYI: For the dierential equation
2
x + 2 x + 0 x = 0,
the solutions are
x = A1 et cos t + A2 et sin t =
x = Aet + Btet ,
2
0 2
(under damped)
(critically damped)
x = A1 e1 t + A2 e2 t ,
i =
2
2 0 ,
(over
your name
Physics 321 FINAL - Tuesday, Dec. 9
FYI: For the dierential equation
2
x + 2 x + 0 x = 0,
the solutions are
x = A1 et cos t + A2 et sin t =
x = Aet + Btet ,
x = A1 e1 t + A2 e2 t ,
2
0 2
(critically damped)
i =
2
2 0 ,
(over damped).
Coriolis
your name
Physics 321 Practice Exam #2 - Wednesday, Nov. 19
FYI: For the dierential equation
2
x + 2 x + 0 x = 0,
the solutions are
x = A1 et cos t + A2 et sin t =
x = Aet + Btet ,
2
0 2
(under damped)
(critically damped)
x = A1 e1 t + A2 e2 t ,
i =
2
2
your name
Physics 321 Quiz #3 - Wednesday, Sep. 23
1. Ted and his iceboat have a combined mass Mt . Teds boat slides without friction on the top
of a frozen lake. Teds boat has a winch and he wishes to wind up a long heavy rope of mass
Mr and length L tha
your name
Physics 321 Quiz #1 - Wednesday, Sep. 16
Pair up to complete this assignment by the end of class. You will need to demonstrate functioning
versions of the programs to receive credit for the latter two problems. Feel free to access the course
lec
your name
Physics 321 Quiz #3 - Wednesday, Sep. 30
FYI: For the differential equation
2
x + 2 x + 0 x = 0,
the solutions are
x = A1 et cos t + A2 et sin t =
x = Aet + Btet ,
2
0 2
(under damped)
(critically damped)
x = A1 e1 t + A2 e2 t , i =
2
2 0 , (o
your name
Physics 321 Quiz #6 - Wednesday, Oct. 28
You can work in groups of 4 for this quiz. You should turn in one quiz for your group, with all
four names. You may consult the internet, notes, or books to your hearts content.
Consider a particle of mas
your name
Physics 321 Quiz #5 - Wednesday, Oct. 21
Work in groups of 2. Note this problem is HW problem #6 from Chapter 4 of the lecture notes,
and is part of next weeks assignment. Consider a particle of mass m moving in a potential
U = ln(r/a).
a.) If t
your name
Physics 321 Quiz #4 - Wednesday, Oct. 14
For this exercise, work in groups of 4. You can use the internet all you want. You may wish to
assign different parts of the problem to certain members of your group.
It is year 2525, and if Man is still
your name
Physics 321 Quiz #7 - Wednesday, Nov. 4
Work in groups of 4 or fewer. Feel free to use your lecture notes or book.
s
b
R
A point particle is red at a spherical target of radius R. The particle bounces off the target
elastically with scattering a
your name
Physics 321 Quiz #1 - Wednesday, Sep. 3
1. (5 pts) On your homework you derived the relation,
ijk kmn = im jn in jm .
k
Use this result to prove
A (B C) = (A C)B (A B)C.
[A (B C)]i =
ijk Aj klm Bl Cm
(1)
jklm
=
Aj Bl Cm (il jm im jl )
(2)
jl
your name
Physics 321 Quiz #2 - Wednesday, Sep. 10
Pair up to complete this assignment by the end of class. You will need to demonstrate functioning versions of the programs to receive credit for the latter two problems. Feel free to access
the course lec
your name
Physics 321 Quiz #3 - Wednesday, Sep. 17
1. (5 pts) On your homework you derived the relation,
ijk kmn = im jn in jm .
k
Use this result to prove
A (B C) = (A C)B (A B)C.
[A (B C)]i =
ijk Aj klm Bl Cm
(1)
jklm
=
Aj Bl Cm (il jm im jl )
(2)
j
your name
Physics 321 Quiz #4 - Wednesday, Sep. 24
1. Ted and his iceboat have a combined mass Mt . Teds boat slides without friction on the top
of a frozen lake. Teds boat has a winch and he wishes to wind up a long heavy rope of mass
Mr and length L tha
your name
Physics 321 Quiz #5 - Wednesday, Oct. 1
FYI: For the dierential equation
2
x + 2 x + 0 x = 0,
the solutions are
x = A1 et cos t + A2 et sin t =
x = Aet + Btet ,
2
0 2
(under damped)
(critically damped)
x = A1 e1 t + A2 e2 t ,
i =
2
2 0 ,
(over
your name
Physics 321 Quiz #6 - Monday, Oct. 20
You can work in groups of 3 for this quiz. You should turn in one quiz for your group, with all
three names. This is closed book.
1. Consider a particle of mass m moving in a radially symmetric potential
U =
Physics 321 - Spring 2006
Homework #1, due Wednesday Jan. 18 at beginning of class
1. [2pts] Taylor problem 1.5
2. [2pts] Taylor problem 1.6
3. [2pts] Taylor problem 1.23 (Note, the vectors b and c are not completely arbitrary, because their dot
product i
your name
Physics 321 Practice Exam #1 - Wednesday, Oct 8
FYI: For the dierential equation
2
x + 2 x + 0 x = 0,
the solutions are
x = A1 et cos t + A2 et sin t =
x = Aet + Btet ,
2
0 2
(under damped)
(critically damped)
x = A1 e1 t + A2 e2 t ,
2
2 0 ,
i
your name
Physics 321 Exam #1 - Wednesday, Oct 9
FYI: For the dierential equation
2
x + 2 x + 0 x = 0,
the solutions are
x = A1 et cos t + A2 et sin t =
x = Aet + Btet ,
x = A1 e1 t + A2 e2 t ,
2
0 2
(under damped)
(critically damped)
i =
2
2 0 ,
(over
Name:
Student ID:
S10 PHY321: Midterm 3 April 16, 2010 NOTE: Show all your work. No credit for unsupported answers. Moreover, the work can earn you credit for problems that are not fully completed!
Turn the front page only when advised by the instructor!
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Practice Midterm Exam #2
Total points = 25. Show all of your work!
1. [12 points] A damped oscillator consists of a spring (with a spring constant k = 8.00 N/m), a block
of mass m = 1.50 kg, and a damping force given by bi (where b =
WPQJ mafia-n , the.
diomm Whig: an an,
conditions (X M4 )9) .
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w
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Practice Midterm Exam #1
Total points = 25. Show all of your work! 1. [6 points] If A = 5i and B = 3i + 4j find
(a) [2] A.B (b) [2] AxB (c) [2] The angle AB between A and B.
2. [7 points] Suppose that the frictional force on an object of mass m tra