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String vibration experiment

NegotiableUpdate on 02/04
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Overview
The YGP-6219 string vibration experimental device establishes a standing wave mode in a stretched string by driving an oscillator with a sine wave generator. A weight is suspended on the other end of the string through a pulley, and the characteristics of string vibration are studied by changing the driving frequency, string length, line density, and tension in the oscillator.
Product Details

Experimental Overview

YGP-6219 typeString vibration experimentThe device establishes a standing wave mode in a stretched string by driving an oscillator with a sine wave generator. A weight is suspended on the other end of the string through a pulley, and the characteristics of string vibration are studied by changing the driving frequency, string length, line density, and tension in the oscillator.



Experimental Content

  • Observe the standing wave phenomenon formed on the string with fixed ends, and understand the conditions for the string to reach resonance and form standing waves.

  • Measure the propagation velocity of transverse waves on a string.

  • Determine the relationship between the resonance frequency of a string subjected to forced vibration and the standing wave wavelength, tension, and string density through experimental methods.



Product Features

  • The experimental setup design is visually intuitive, making it easy for students to understand the principle of standing waves.

  • Using an oscillator to drive a thin rope allows for a very intuitive observation of the antinodes and knots.

  • The linear density, length, and tension of string vibration are variable.



experimental data

Resonance Frequency Measurement Data Sheet (L=1.200m; White Nylon Wire μ=0.543 g/m)


weightqualitym=50g

weightqualitym=100g

n

freason

Hz

fmeasure

Hz

Ef

%

freason

Hz

fmeasure

Hz

Ef

%

1

13.17

13.24

0.46%

18.63

18.84

1.11%

2

26.35

26.82

1.78%

37.27

37.86

1.60%

3

39.52

39.38

-0.37%

55.90

56.76

1.54%

4

52.70

52.66

-0.08%

74.53

75.82

1.73%


Resonance Frequency Measurement Data Sheet (L=1.200m; Yellow Cotton Thread μ=0.176g/m)


weightqualitym=50g

weightqualitym=100g

n

freasonHz

fmeasure

Hz

Ef

%

freason

Hz

fmeasure

Hz

Ef

%

1

22.12

22.32

0.90

31.28

31.38

0.32

2

44.24

44.30

0.14

62.56

62.60

0.06

3

66.36

66.44

0.12

93.84

92.4

-1.53

4

88.48

88.56

0.09

/

/

/


Wave velocity measurement data table (L=1.200m, white nylon wire μ=0.543g/m, hook code mass m=100g)

antinodequantity

n

wavelength

λm)

The vibration frequency of a string

f(Hz)

V=fλ

(m/s

V= √(f/M)

(m/s)

Ev%

1

2.4

17.72

42.528

42.48

-0.11

2

1.2

35.94

43.128

42.48

-1.53

3

0.8

53.98

43.184

42.48

-1.66

4

0.6

72.00

43.20

42.48

-1.69

5

0.48

89.34

42.88

42.48

-0.95