The Physics of Light & Sound
Instructions
Complete the following exercises in class on Wednesday, June 1.
Feel free to work together in groups
or to consult with your instructor.
These exercises are for your benefit and need not be turned in.
Make sure you understand all of the material!
1.
A mass of 50 grams is hung from a string-pulley system as illustrated.
Suppose the string has a
mass per unit length of
μ
= 0.01 kg/m.
If the length of string between the fixed end and the pulley
is 1.5 m, what is the fundamental frequency?
m
Pulley
1.5 m
2.
Draw the first 4 harmonics for a string fixed at both ends.
Indicate the nodes and antinodes.
What are the frequencies of the harmonics based on the wave speed 10 m/s and the string length
of 2 m?
3.
Draw the first 4 harmonics for an open-closed tube.
Indicate the nodes and antinodes.
What are
the frequencies of the harmonics based with sound speed 340 m/s and tube length 3 m?
Summer 2011
1
Problem Set 10
P
ROBLEM
S
ET
10
G
ENERAL
S
CIENCE
121
S
UMMER
2011
This
preview
has intentionally blurred sections.
Sign up to view the full version.
4.
Draw the first 4 harmonics for an open-open tube.
This is the end of the preview.
Sign up
to
access the rest of the document.
- Spring '08
- Niculescu,M
-
Click to edit the document details
