概要信息：

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(1) *	3üà½u‚þ/¤7Åy–;
)u‚ˆ
Ú/¤­½7Å^‡
(2) ÿ½u‚þîÅD„Ý
(3) ^¢{(½u‚ɽĞ
ªÇ†7ÅÅ,ÜåÚu‚‚—݃m'X
(4) é(3)¥(J‰[Ü?n
2 ¤ì^ä
uÑOC˜˜@(°Ä‚,&ÿ‚,1kg§è,ØÓ3¦u),õǼêu)ì,«Åì,Z©
º,’º,>fU²
3 ¢n
3.1 îÅń
v =
√
FT
ρ
3.2 7Ő§
u(x, t) = 2A cos kx− ϕ
2
cosωt+
ϕ
2
fN = N
v
2l
= (
N
2l
)
√
FT
ρ
1
3.3 
^‡
λ = 2
l
N
4 ¢SN
4.1 ½Üå, NªÇ, *	7Å
4.2 ÿ½u‚ɽÄ
ªÇ†Å!‡êƒm'X
4.3 ÿ½u‚ɽÄ
ªÇ†u‚k݃m'X
4.4 ÿ½u‚ɽÄ
ªÇ†u‚Üåƒm'X
4.5 ÿ½u‚ɽÄ
ªÇ†‚—݃m'X
5 êâL‚
eItheL«n؊, meaL«OŽÿþŠ, σ½Â
σ = 2
|fthe − fmea|
fthe + fmea
5.1 ÿ½u‚ɽÄ
ªÇ†Å!‡êƒm'X
l = 60.0 cm, FT = 3× 1.000× 9.801 = 29.4 N
N fthe (Hz) fmea (Hz) σ (%) vthe (m/s) vmea (m/s)
1 102.80 106.80 3.82 123.36 128.16
2 205.60 214.40 4.19 123.36 128.64
3 308.40 320.00 3.69 123.36 128.00
4 411.20 427.60 3.91 123.36 128.28
5 514.00 534.40 3.89 123.36 128.26
6 616.80 642.20 4.03 123.36 128.44
5.2 ÿ½u‚ɽÄ
ªÇ†u‚k݃m'X
N = 1, FT = 3× 1.000× 9.801 = 29.4 N
l (cm) fthe (Hz) fmea (Hz) σ (%) vthe (m/s) vmea (m/s)
40.0 154.20 160.40 3.94 123.36 128.32
44.8 137.68 143.40 4.07 123.36 128.4864
50.9 121.18 126.90 4.61 123.36 129.1842
58.9 104.72 109.70 4.65 123.36 129.2266
70.0 88.11 93.50 5.94 123.36 130.9
2
5.3 ÿ½u‚ɽÄ
ªÇ†u‚Üåƒm'X
l = 60.0 cm, N = 1
FT (9.801 N) fthe (Hz) fmea (Hz) σ (%) vthe (m/s) vmea (m/s)
1 59.35 64.80 8.78 71.22 77.76
2 83.94 89.50 6.41 100.72 107.4
3 102.80 106.80 3.82 123.36 128.16
4 118.70 123.40 3.88 142.44 148.08
5 132.71 137.50 3.55 159.25 165
5.4 ÿ½u‚ɽÄ
ªÇ†‚—݃m'X
l = 60.0 cm, N = 1, FT = 3× 1.000× 9.801 = 29.4 N
m (g) L (mm) ρ = m/L (g/m) fthe (Hz) fmea (Hz)
2.99 540 5.54 60.72 63.30
2.56 767 3.34 78.14 82.30
1.76 911 1.93 102.80 106.80
6 êâ?n9(J
6.1 ÿ½u‚ɽÄ
ªÇ†Å!‡êƒm'X
r2 = 0.99999
Œ„7ŪÇf†7ÅÅ!꤂5'X.
3
6.2 ÿ½u‚ɽÄ
ªÇ†u‚k݃m'X
TãélÚfg,éê‚5[Ü(J,ÙÇaòL«öƒm˜g'X,
dg
(J
a = −0.96655 ≈ −1, r2 = 0.99978
l
Œ±f'ul−1.
6.3 ÿ½u‚ɽÄ
ªÇ†u‚Üåƒm'X
?n{Óþ,
a = 0.46537 ≈ 0.5, r2 = 0.9995
4
˜½§Ýþy
f'uFT
1
2'X,(J ь.
6.4 ÿ½u‚ɽÄ
ªÇ†‚—݃m'X
ÏL£:'Œf†‚—ÝρKƒ'.
7 ?Ø9g
'u¢Š†n؊ ¯K,Œ±lêâL¥wÑ:
a) ªÇ-Å!ê'Xÿ½¥, ­½,…ªÇ†Å!ê3ép§ÝþCq'(å
-0.2Hz),íÿT †Å!êÃ';
b) e5¬uy ¬‘kÝlOŒ
üO,ù˜:„vkéÐ)º;
c) ,,uy ¬‘.åFTOŒ
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