Prof. Raghuveer Parthasarathy
University of Oregon; Fall 2007
Physics 351 Vibrations and Waves
Problem Set 8
Due date: Wednesday, Nov. 28, 5 pm. No late homework will be accepted; I intend to promptly
Physics 351: Problem Set 8 Solutions
1. Normal Modes of a Gas Filled Pipe:
(a) We are given Youngs modulus as:
Y =
F/A
.
/
We want to relate this quantity to the pressure and volume of the gas cylinde
Prof. Raghuveer Parthasarathy
University of Oregon; Fall 2007
Physics 351 Vibrations and Waves
Problem Set 7
Due date: Wednesday, Nov. 21, 5pm. No late homework will be accepted, due to the Thanksgivi
Physics 351, Fall 2007, Prof. Parthasarathy
Problem Set 7 Solutions
1. CO2 :
(a) This problem requires the same treatment as PS6 no. 2 but with a dierent set
of dierential equations. The forces acting
Prof. Raghuveer Parthasarathy
University of Oregon; Fall 2007
Physics 351 Vibrations and
Waves
Problem Set 6: SOLUTIONS
(1)
Phase Space.
Two methods:
(i)
We know that for a simple harmonic oscillator,
Prof. Raghuveer Parthasarathy
University of Oregon; Fall 2007
Physics 351 Vibrations and Waves
Problem Set 5
Due date: Thursday, Nov. 1, noon. (Turn in the assignment to the box outside my door.)
So t
Prof. Raghuveer Parthasarathy
University of Oregon; Fall 2007
Physics 351 Vibrations and
Waves
Problem Set 5: SOLUTIONS
(1)
The bouncing man.
(a) We need to find 0, which we know from earlier work equ
Prof. Raghuveer Parthasarathy
University of Oregon; Fall 2007
Physics 351 Vibrations and Waves
Problem Set 4
Due date: Friday, Oct. 26, 5 pm.
Reading: French Chapter 3; start Chapter 4.
(1, 3 pts.) A
Prof. Raghuveer Parthasarathy
University of Oregon; Fall 2007
Physics 351 Vibrations and Waves
Problem Set 4: SOLUTIONS
(1)
A Tuning Fork.
(a) The tuning fork is underdamped (or else we couldnt hear a
Prof. Raghuveer Parthasarathy
University of Oregon; Fall 2007
Physics 351 Vibrations and Waves
Problem Set 2
Due date: Friday, Oct. 12, 5pm.
Reading: French Chapter 2 and Chapter 3 through page 54
(1,
(3) A rolling ball.
(a) As x 0, h +, and as x +, h +. Also there is only one value of x for which
1a
dh
a
=
+ b is zero, namely x0 =
3/ 2
2x
dx
2b
2/3
. (From the first observation, or by looking a
Prof. Raghuveer Parthasarathy
University of Oregon; Fall 2007
Physics 351 Vibrations and Waves
Problem Set 1
Due date: Wednesday, Oct. 3, 10 a.m.
Reading: French, Chapters 1-2, Dimensional Analysis no
Prof. Raghuveer Parthasarathy
University of Oregon; Fall 2007
Physics 351 Vibrations and Waves
Problem Set 1: SOLUTIONS
Comment: Think about what ei/2 looks like graphically, in the complex plane a 90