PHYS 2210 Fall 2013 Homework Set 3
Due Sept. 13, 2013
Show and explain all of your work! Correct answers for which we cannot follow your work
are worth no credit. Unless otherwise stated, all parts of all problems are worth 2 points.
1. In class we worked
UNIVERSITY OF COLORADO AT BOULDER
PHYS 2210
CLASSICAL MECHANICS AND MATH METHODS, SPRING, 2011
Homework 14
(Due Date: Start of class on Thurs. Apr 21 )
1. For the periodic function f (t) = At for 1 < t 1 (with A a given constant)
(a) Compute the Fourier c
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 12
(Due Date: Start of class on Thurs. Apr 7 )
1. On the last exam, we had a problem with a at ring, uniform mass per unit area of , inner radius of R,
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
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 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 13
(Due Date: Start of class on Thurs. Apr 14 )
As always, lettered parts are worth 4 points unless otherwise stated
1. Since not all of you had a chan
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
fo
UNIVERSITY OF COLORADO AT BOULDER
PHYS 2210
CLASSICAL MECHANICS AND MATH METHODS, SPRING, 2011
Homework 15
(Due Date: Start of class on Thurs. Apr 28 )
1. Complete the online survey at
http:/www.colorado.edu/sei/surveys/Sp11/Clicker_Phys2210_sp11-post.htm
PHYS 2210 Fall 2013 Homework Set 4
Due Sept. 27, 2013
Show and explain all of your work! Correct answers for which we cannot follow your
work are worth no credit.
1. Terminal Speed of a Softball
Consider a softball with diameter 10 cm and mass 200 g. Use
PHYS 2210 Fall 2013 Homework Set 5
Due Oct. 4, 2013
Show and explain all of your work! Correct answers for which we cannot follow your
work are worth no credit.
h
s
R
1. Long-distance-seeing.
a) (2 points) Suppose you are standing on a tower (or a mountai
PHYS 2210 Fall 2013 Homework Set 7
Due Oct. 18, 2013
Show and explain all of your work! Correct answers for which we cannot follow your
work are worth no credit.
1. Consider a pyramid-like object of uniform density, dened as the set of points (x, y, z)
wi
PHYS 2210 Fall 2013 Homework Set 6
Due Oct. 11, 2013
This is a review homework to help you prepare for the exam. It is therefore not worth
as many points as a typical homework set. Each problem is worth one homework point, and
will be graded credit/no cre
PHYS 2210 Fall 2013 Homework Set 10
Due Nov. 8, 2013
Show and explain all of your work! Correct answers for which we cannot follow your work
are worth no credit.
1. (4 points) Particle A has mass m and initial velocity v0 . After colliding with particle
B
PHYS 2210 Fall 2013 Homework Set 8
Due Oct. 25, 2013
Show and explain all of your work! Correct answers for which we cannot follow your
work are worth no credit.
1. Practice with path integrals. Consider the vector eld F = (x + 2y) 2x. Evaluate
x
y
r2
the
PHYS 2210 Fall 2013 Homework Set 9
Due Nov. 1, 2013
Show and explain all of your work! Correct answers for which we cannot follow your work
are worth no credit.
1. Stability of the weeble
Look at the gure below, which shows a possible design for a childs
PHYS 2210 Fall 2013 Homework Set 12
Due Nov. 22, 2013
This is a review homework to help you prepare for the exam. It is therefore not worth as
many points as a typical homework set. Each problem is worth one homework point, and
will be graded credit/no cr
PHYS 2210 Fall 2013 Homework Set 11
Due Nov. 15, 2013
Show and explain all of your work! Correct answers for which we cannot follow your work
are worth no credit.
1. Fun with complex numbers
a) (2 points) Write the complex number
1+i 3
2+i 2
50
in the for
PHYS 2210 Fall 2013 Homework Set 13
Due Dec. 6, 2013
Show and explain all of your work! Correct answers for which we cannot follow your work
are worth no credit.
1. Find the general solutions y(x) to the following dierential equations. Be sure to show
you
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
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