Dr. Peter R. Conwell
Physics 211, Physics for Scientists and Engineers
11/23/2015
Solution Homework 12: Rotational Motion, Static
Equilibrium,
11-1)
A quantitative yo-yo consists of a disk
(or other shape) fixed to an axle that has
two strings wrapped aro
Dr. Peter R. Conwell
Physics 211, Physics for Scientists and Engineers
9/16/2015
Solution to 3rd Problem Set: One dimensional motion I, A Graphical Description
Complete the sheets entitled HOMEWORK FOR UNIT 3: INTRODUCTION TO MOTION, and
HOMEWORK FOR UNIT
Dr. Peter R. Conwell
10/28/2015
Physics 211
Unit 7 Application of Newton's Laws
7-1)
There are four possibilities for on and off conditions for the cartridges:
A. Both cartridges are on C. Only Maria's cartridge is on (L->R thrust)
B. Both cartridges are
Physics 425
1)
Homework Problems
Simple Harmonic Oscillator
Page 1
Properties of the simple harmonic oscillator.
Some of these results are discussed in class or in the book, but its quite useful to work through
them.
(a) Given the definitions:
1
( ip + m
Physics 425
Homework Problems
Wave Functions and Probability
Page 1
Just as a reminder, on all homeworks this semester, please show your work and explain your reasoning. I
will grade for clarity of explanation as much as I do for mere "correctness of fina
Physics 425
1)
Homework Problems
The Infinite Square Well and Superposition
Page 1
Stationary state in the infinite square well.
The infinite square well has the potential
V ( x ) = 0, 0 x a
= otherwise,
and the (normalized) stationary states were found t
Physics 425
1)
Homework Problems
Uncertainty and Measurement; 3-D Infinite Potential Well
Page 1
Quantum measurements.
An operator A (representing observable A) has two normalized eigenstates 1 and 2 , with
eigenvalues a1 and a2. Operator B (representing
Physics 425
Homework Problems
Operators
Table 1
Page 1
Examples of operators
D ( x ) = ( x ) x
( x ) = 2 ( x ) x 2
D = x
= 2 x 2 = D 2
M = 2 x y
I = operator that leaves unchanged
M ( x, y ) = 2 ( x, y ) x y
I =
1
Q = d x '
1
Q ( x ) = d x ' ( x ')
0
Physics 425
1)
Homework Problems
The Free Particle, and the Gaussian Wave Packet
Page 1
Evolution of the Gaussian wave packet for a free particle.
(a) First, a mathematical digression. Weve already used the simple Gaussian integral formula,
e x dx = .
2
(
Homework: Classical Probability
Name:
1. Consider the situation from the tutorial, reproduced at
right.
a. What is the average position of the ball when it is
on level 1? Explain.
4d
level 1
0
3
4
L L
level 2
0
7
4
L
b. What is the average position of t
Physics 425
1)
Homework Problems
Bound States and Scattering States
Page 1
Qualitative methods for stationary states.
(a) The potential energy V(x) for a particle is given by:
V ( x) =
V0
for x < 0
0
for 0 < x < a
V0 2 for a < x < 2a
V0
.
(1)
for x > 2a
Physics 425
1)
Homework Problems
Bound States and Scattering States
Page 1
Odd states in the finite square well.
Consider the finite square well that we examined in class.
0
V ( x) =
V0
for x > a
for a < x < a
(1)
where V0 > 0.
(a) Consider the bound st
Physics 425
1)
Homework Problems
Separation of Variables
Page 1
Solve Laplaces equation 2V = 0 using multiplicative separation: V ( x, y ) = Vx ( x )Vy ( y ) for the
following two-dimensional boundary conditions:
2 x
V ( 0, y ) = V ( d, y ) = 0, V ( x,d
huang (jh45932) Gausss Law hester (APCE&M) This print-out should have 35 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. Assignment is due Sunday, 1/17, 9pm California time. 001 10.0 points A c
huang (jh45932) Electric Force and Field hester (APCE&M) This print-out should have 17 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 10.0 points
1
After these procedures, the signs of the