UNIVERSITY OF COLORADO AT BOULDER
PHYS 2210
CLASSICAL MECHANICS AND MATH METHODS, SPRING, 2011
Homework 1
(Due Date: Start of class on Thurs. Jan 13 )
NOTE: Be sure to show your work and explain what you are doing. (Correct answers, for which we cannot
fo
UNIVERSITY OF COLORADO AT BOULDER
PHYS 2210
CLASSICAL MECHANICS AND MATH METHODS, SPRING, 2011
Homework 2
(Due Date: Start of class on Thurs. Jan 20 )
NOTE: Be sure to show your work and explain what you are doing. (Correct answers, for which we cannot
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CSULA
MIDTERM
Spring 2008
Professor: Rafael Obregon
PHYSICS 213
Name (Last, First): _
I.
CONCEPTUAL QUESTIONS (5 points ea): Answer these in a few complete and grammatically
correct English sentences. Note that a correct explanation will be worth 4 points
UNIVERSITY OF COLORADO AT BOULDER
PHYS 2210
CLASSICAL MECHANICS AND MATH METHODS, SPRING, 2011
Homework 10
(Due Date: Start of class on Thurs. March 17 )
NOTE: March 17 is our second in-class exam day! You may bring TWO sides of one page of paper with you
UNIVERSITY OF COLORADO AT BOULDER
PHYS 2210
CLASSICAL MECHANICS AND MATH METHODS, SPRING, 2011
Homework 11
(Due Date: Start of class on Thurs. March 31 )
1. Consider a simple pendulum of length L = 10m.
(a) In an ideal world (assuming no damping, and maki
!
!
2
Drag force is: f D = ! bv ! cv v
Consider a mass moving UP
(Lets define DOWN as the +y direction )
Which eqn of motion is correct?
v (moving up)
A) m dv y /dt = + mg ! bv y - cv y 2
B) m dv y /dt = + mg ! bv y + cv y 2
C) m dv y /dt = + mg + bv y -
Rectangular plate, with temperature fixed at edges:
y=H
T=0
y=0
x=0
T=0
! 2T ( x, y ) = 0
T=t(y)
T=0
x=L
When using separation of variables, so T(x,y)=X(x)Y(y),
which variable (x or y) has the sinusoidal solution?
A) X(x)
B) Y(y)
C) Either, it doesnt matt
www.colorado.edu/physics/phys2210
[email protected]
Ana Maria Rey ([email protected])
[email protected]
HW due Thursday
Online hw/participation due Tues
Exams Feb 10, Mar 17 (in class) + final
2
In Classical Mechanics,
can this e
In cylindrical coordinates, what is the correct
volume element, dV = ?
A) d! d" dz
B) ! d! d" dz
C) !2 d! d" dz
D) sin" d! d" dz
E) ! sin" d! d" dz
$ !"
$
!"
#"
#
1
In cylindrical coordinates, what is the correct
volume element, dV = ?
!" d!"
$
dz"
A) d!
In a Phys 1110 exam, a student produced the following solution.
Is the final solution correct?
If NOT, does that mean the initial equation must have been wrong?
If NOT, and assuming the initial equation is NOT wrong,
find the error using dimensional analy
How was the tempo of our last class?
A)Way too fast, I got lost (repeatedly)!
B)Bit fast, but I (mostly) hung in
C)Just about right for me
D)A little slow, I think I could handle a bit more
E)Way too slow, pick it up!
1
Summary of last class: Kinematics
P
UNIVERSITY OF COLORADO AT BOULDER
PHYS 2210
CLASSICAL MECHANICS AND MATH METHODS, SPRING, 2011
Homework 9
(Due Date: Start of class on Thurs. March 10 )
1. You are stranded on the surface of the asteroid Vesta. If the mass of the asteroid is M and its rad
UNIVERSITY OF COLORADO AT BOULDER
PHYS 2210
CLASSICAL MECHANICS AND MATH METHODS, SPRING, 2011
Homework 8
(Due Date: Start of class on Thurs. March 3 )
1. Look at the gure below, which shows a possible design for a childs toy. The designer (you!) wants to
Physics: Principles and Applications, 6e Giancoli
Chapter 16: Electric Charge and Electric Field
Conceptual Questions
1) State the law of conservation of electric charge.
Answer: The net amount of electric charge produced in any process is zero.
or
No net
> REPLACE THIS LINE WITH YOUR PAPER IDENTIFICATION NUMBER (DOUBLE-CLICK HERE TO EDIT) <
1
First A. Author, Second B. Author, Jr., and Third C. Author, Member, IEEE
Preparation of Papers for IEEE TRANSACTIONS
and JOURNALS (March 2004)
AbstractThese instruc
Bonnie and Clyde
(from Minnesota Cooperative Group Problems #12)
In your new job, you are the technical advisor for the writers of a
gangster movie about Bonnie and Clyde. In one scene Bonnie and
Clyde try to flee from one state to another. If they get ac
Skydivers
The U of I Skydiving Club has asked you to plan a stunt for an air show.
In this stunt, two skydivers will step out of opposite sides of a
stationary hot air balloon 5,000 feet above the ground. The second
skydiver will leave the balloon 20 seco
Against the Grain
You are on the west bank of a river which flows due south and want to
swim to the east bank. You have told your friends to meet you on the
east bank directly opposite your starting point. Before starting out,
you realize that, since the
Catching the Train
You are going to Chicago for the weekend and you decide to go firstclass by taking the AmTrak train. Unfortunately, you are late finishing
your mathematics exam, so you arrive late at the train station. You
run as fast as you can, but j
Falling Brick
As you are cycling to classes one day, you pass a construction site on
Green Street for a new building and stop to watch for a few minutes.
A crane is lifting a batch of bricks on a pallet to an upper floor of the
building. Suddenly, a brick
UNIVERSITY OF COLORADO AT BOULDER
PHYS 2210
CLASSICAL MECHANICS AND MATH METHODS, SPRING, 2011
Homework 6
(Due Date: Start of class on Thurs. Feb 17 )
NOTE: In general, lettered parts are worth 4 pts each, unless we state otherwise.
1. A collision between
UNIVERSITY OF COLORADO AT BOULDER
PHYS 2210
CLASSICAL MECHANICS AND MATH METHODS, SPRING, 2011
Homework 7
(Due Date: Start of class on Thurs. Feb 24 )
1. The joy of Taylor Expansions. Taylor series are the single most important and common approximation
te
UNIVERSITY OF COLORADO AT BOULDER
PHYS 2210
CLASSICAL MECHANICS AND MATH METHODS, SPRING, 2011
Homework 5
(Due Date: Start of class on Thurs. Feb 10. )
NOTE: Feb 10 is our rst in-class exam day! You may bring one side of one page of paper with your own ha
UNIVERSITY OF COLORADO AT BOULDER
PHYS 2210
CLASSICAL MECHANICS AND MATH METHODS, SPRING, 2011
Homework 4
(Due Date: Start of class on Thurs. Feb 3 )
NOTE: Be sure to show your work and explain what you are doing. (Correct answers, for which we cannot
fol
UNIVERSITY OF COLORADO AT BOULDER
PHYS 2210
CLASSICAL MECHANICS AND MATH METHODS, SPRING, 2011
Homework 3
(Due Date: Start of class on Thurs. Jan 27 )
1. Boas has a very useful formula for solving any linear rst-order dierential equation: Eq. 3.9 page 401