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Procedure, Equipment needed, Manual aut o – PASCO WA-9611_13 SONOMETER User Manual

Page 15: 60 cm oscilloscope frequency generator

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11

012-03489E

Sonometer

Experiment 1: Resonance Modes of a Stretched String

EQUIPMENT NEEDED:

– WA-9611 Sonometer

– Mass and mass hanger

– WA-9613 Driver/Detector Coils

– Dual trace oscilloscope

– Function generator capable of delivering 0.5 amp

Procedure

➀ Set up the Sonometer as shown in Figure 1.1.

Start with the bridges 60 cm apart. Use any of the included strings and hang a mass of approxi-
mately 1 kg from the tensioning lever. Adjust the string adjustment knob so that the tensioning
lever is horizontal. Position the driver coil approximately 5 cm from one of the bridges and posi-
tion the detector near the center of the wire. Record the length, tension (mg), and linear density
of the string in Table 1.1.

➁ Set the signal generator to produce a sine wave and set the gain of the oscilloscope to approxi-

mately 5 mV/cm.

➂ Slowly increase the frequency of the signal to the driver coil, starting at approximately 25 Hz.

Listen for an increase in the volume of the sound from the sonometer and/or an increase in the size
of the detector signal on the oscilloscope screen. Frequencies that result in maximum string vibra-
tion are resonant frequencies. Determine the lowest frequency at which resonance occurs. This is
resonance in the first, or fundamental, mode. Measure this frequency and record it in Table 1.1.

➃ Start with the detector as close as you can get it to one of the bridges. Watch the oscilloscope as

you slide the detector slowly along the string. Locate and record the locations of each node and
antinode. Record your results in Table 1.1.

➄ Continue increasing the frequency to find successive resonant frequencies (at least five or six).

Record the resonance frequency for each mode, and the locations of nodes and antinodes in
Table 1.1.

Figure 1.1 Equipment Setup

Channel 2 (detector coil)
Channel 1 (driver coil)

Detector coil

1 kg

Driver coil

String

adjustment

knob

Tensioning

lever

WA-9611

SONOMETER

KEEP WEIGHTS AS NEAR TO FLOOR

AS POSSIBLE IN THE EVENT THE

SONOMETER WIRE SHOULD BREAK

CAUTION!

1.75 kg MAXIMUM

LOAD ON LEVER

BK PRECISION

200 Mhz OSCILLISCOPE

MODEL
2 1 2 0

INTENSITY

FOCUS

TRACE NOT ATION

TRIG LEVEL

COUPLE

SOURCE

SLOPE

- Y

TIME/DI

V

X-POS

VAR

VAR

VAR SWEEP

CAL

CAL

m

V

V

CH 1
VOLTZ/DIV

CH 2
VOLTZ/DIV

CAL

m

V

V

VERTICAL MODE

PULL XS

PULL XS

CH 2

CH 1

AC

DC

AC

DC

AC

CH1

CH2

ALT

EXT

POS

POS

NORM
EXT

CH1
CH2

NORM

EXT

CH1

CH2

MANUAL

AUT

O

T X-
YT X-

Y
LINE

CAL

EXT CH4

POWER

200V
MAX

400V
MAX

400V
MAX

-

+

+

-

T T

L H I

G
N D

L O

M I
N

R A
N G E

A D J U

S T

M

A X

O U T P

U T

F R E Q U E N

C Y

A M P L I T U

D E

P I - 9 5 8 7 B
D I G I T AL FUNCTION
G E N E R A TOR -
A M P L I F I E R

H E

R T Z

WA V E F O

R M

I N P

U T

G N D

E X T E R N

A L

DETECT

OR

W A-9613

DRIVER

WA-9613

60 cm

Oscilloscope

Frequency generator