IOP PUBLISHING
JOURNAL OF PHYSICS A: MATHEMATICAL AND THEORETICAL
J. Phys. A: Math. Theor. 42 (2009) 152001 (8pp)
doi:10.1088/1751-8113/42/15/152001
FAST TRACK COMMUNICATION
Rotationally invariant family of L vy-like random
e
matrix ensembles
Jinmyung Cho
PHY 3221 Classical Mechanics, Homework #5, due 8:30 am, 02/27/12
1 Consider a mass moving on a frictionless surface and attached to a (horizontal) spring.
a) Write down an expression for the conserved energy of the mass-spring system.
b) Express the total
PHY 3221 Classical Mechanics, Homework #6, due 8:30 am, 03/19/12
1 Suppose a linear molecular potential is given by:
a
U (r) =
2
(
)
3
r0
1 r0
+
.
r
3 r3
a) Sketch the potential for 0 < r < .
b) Find the equilibrium separation rm at which the potential is
PHY 3221 Classical Mechanics, Homework #7, due 8:30 am, 03/26/12
1 A particle of mass, m, is attached to a spring of spring constant, k, and is subject to a velocitydependent damping force with damping coecient, b.
a) Introducing new variables if you wish
PHY 3221 Classical Mechanics, Homework #8, due 8:30 am, 04/02/12
1 Consider a periodic function, y (t), with period 2 , such that in the interval [, ) it is dened
by:
cfw_
sin2 (t), t < 0;
y (t) =
sin2 (t),
0 t < .
a) Find the Fourier representation of y
PHY 3221 Classical Mechanics, Homework #9, due 8:30 am, 04/09/12
1 Consider the surface of revolution when a function, y = y (x), dened between x = x1 and x = x2 ,
is revolved around the x-axis.
a) Write down an (approximate) expression for the length of
PHY 3221 Classical Mechanics, Homework #10, due 8:30 am, 04/16/12
1 Consider the event, E1 , located at (x, ct) = (1000, 1000) in a stationary frame, in which lengths
are measured in meters.
a) Calculate the coordinates of this event in a frame moving at
1
Formula Sheet
During the test you will be provided with a copy of this Formula Sheet.
DO NOT bring your own copy with you.
There is no guarantee that any of the following will be useful to you.
Algebraic answers must be reasonably simplied for full cred
1
Problem 1: (4 pts.) Two spherical planets, each of mass M and Radius R, start out at
rest with a distance from center to center of 4R. What is the speed of one of the planets at
the moment that their surfaces touch? Give your answer in terms of G, M and
PHY 3221 Classical Mechanics, Homework #4, due 8:30 am, 02/20/12
1 This question concerns the line integral of work done along a specic path.
a) Consider a force F = (x2 + y 2 , 2xy ) acting in the xy -plane. Calculate the work done in moving
along the ci
PHY 3221 Classical Mechanics, Homework #3, due 8:30 am, 02/13/12
1 The escape velocity from the earth is around 11.2 km/s. Getting a rocket to escape can be quite
dicult, as this question illustrates. Assume throughout that the rocket under discussion eje
PHYSICAL REVIEW B 82, 104202 2010
Universality of a family of random matrix ensembles with logarithmic soft-connement potentials
Jinmyung Choi and K. A. Muttalib
Department of Physics, University of Florida, Gainesville, Florida 32611-8440, USA
Received 9
Physics 3221 Mechanics I
Fall Term 2010
Quiz 1
This is a 20 min. quiz (closed book). There are two problems (the second problem is on
the back).
Problem 1. [2 pts] Find the gradients of the two functions
u(x, y ) = x +
y2
,
x
v (x, y ) = y +
and show that
Physics 3221 Mechanics I
Fall Term 2010
Quiz 2
This is a 20 min. quiz (closed book). There is only one problem.
Problem 1. [5 pts] You are standing next to a building and want to toss your cell phone to
your friend who is leaning out of a third-oor window
Physics 3221 Mechanics I
Fall Term 2010
Quiz 3
This is a 10 min. quiz (closed book). There are two multiple choice problems.
Problem 1. [2.5 pts] A particle of mass m moves in a one-dimensional potential V (x) =
ax2 bx4 , where a and b are positive consta
Physics 3221 Mechanics I
Fall Term 2010
Quiz 4
This is a 15 min. quiz (closed book). There are two problems (the second one is on the
back).
2
xt
1
0
1
2
30
20
10
0
t
10
20
Figure 1: An illustration for Problem 1.
Problem 1. [2 pts] The graph above shows
Physics 3221 Fall Term 2009 Sample midterm test
Problem 1. Problem 2-47 from Marion&Thornton. Problem 2. Problem 3-10 from Marion&Thornton. Problem 3. Problem 3-12 from Marion&Thornton.
1
1
Name:
Phy 3221
Test # 2
April 6, 2011
Problem 1: (5 points) An object is dropped from an altitude of one Earth radius above
Earths surface. If M is the mass of Earth and R is its radius the speed of the object just
before it hits Earth is given by: (cir
PHY 3221 - Mechanics I
Fall Term 2004
Time and Place: Monday, Wednesday and Friday, Period 3 (9:35-10:25 am), 1002 New
Physics Building (NPB).
Final Exam: Friday, December 17, 12:30 - 2:30 pm
Instructor: Amlan Biswas
Office: 2255 NPB
Phone: 392-8592
Lab:
UF Physics Undergraduate Advising Newsletter
Coordinator: Yoonseok Lee ([email protected])
Meet your advisor regularly!
List of Advisors and Office hours
http:/www.phys.ufl.edu/academics/undergraduate/
or Sned an e-mail to [email protected]
Page 1
-UF Physics Undergraduate Advising Newsletter
October 2007
-Preregistration for Spring 2008 will begin shortly. This newsletter deals
with common advising questions. It is not intended to be a substitute
for seeing a Physics department adviser or for talk
PHY 3221 Classical Mechanics, Homework #1, due 5:00 pm, 01/20/12
1 A disk of radius r is centered at the origin of an (x, y ) coordinate system and rotates at a uniform
angular velocity . At time t = 0, a bug starts from the edge of the disk at (x, y ) co
PHY 3221 Classical Mechanics, Homework #2, due 8:30 am, 02/06/12
1 A spherical shot of lead (diameter D = 2 mm and density Pb = 11.342 g/cm3 ) is dropped into a
container of corn syrup at 20 C, with density cs = 1.38 g/cm3 and a viscosity cs = 13.8 Ns/m2
Classical Mechanics
Charles B. Thorn1
Institute for Fundamental Theory
Department of Physics, University of Florida, Gainesville FL 32611
Abstract
1
E-mail address: [email protected]
1
c 2012 by Charles Thorn
Contents
1 Introduction
1.1 Newtonian Dynamic