概要信息：

¢l ÿ½7á
¼þ
Xhè 1300011329
±e5|11Ò
¢žm2014c1223F
wžm2015c317F
1 CCD¤”XÚÿ½
¼þ
1.1 8‡¦
(1) ^7ájÿþ
¼þ
(2) ^CCD¤”XÚÿþ‡ÝCz
(3) ^Å{,Šã{ځ¦{?nêâ
1.2 ¤ì^ä

¼þ;^|e,w‡º,CCD¤”XÚ(CCD”Å,iÀì),‘k’º(°Ý1mm),Ú
^ÿ‡ì(°Ý0.001mm),>fU²(JA21002,2100g,10mg),§è(200g/‡)eZ
1.3 ¢n
1.3.1 
¼þ
ŠâŽ½Æ,3á5ÝS,A匆AC¤',=
σ = Eε
ª¥E¡
¼þ,´†áº€Ú/GÃ'þ,éuL,¡ÈSþ!7áj½•,3
÷ݐ•	åFŠ^eδL,kσ = F/S,ε = δL/L,u´
E =
FL
SδL
1
1.3.2 ¢C˜
Ù¥Ø%‡©nÜ©:
(1) 7áj†|e
|ep110cm, 7áj60 80cm. |eþk›Î=ÄÚj(㥙xÑ)
(2) w‡º
o˜ŒÇ25, 8ºck©y†, Ý‰Œ0 6.5mm, ©ÝŠ0.05mm, z…1mm˜‡
êi.
(3) CCD¤”,w«XÚ
1.4 ¢SN
1.4.1 N!¤ì
N!|eY†,¦7ájeàΆ²ÃÞ£Ä.,Nw‡º8º,©y†¤”
˜ß. 2N!Ôº ˜, òÎþ‚˜ßÃÀ/¤3©y†þ.CÐCCD, òºÞéO
8º, N1†–iÀìþw˜ßã”.
1.4.2 *ÿ7ájÉ	å.Cz
^>fU²O§è, P¹Ð§è^S.g\§è, P¹êâ. 2òÙŇ~, P¹éA
êâ.
2
1.4.3 ÿþ7áj݆†»
7ájÝ^’ºÿþ˜g, †»^Ú^ÿ‡ìÿþ10g.
1.4.4 5¿¯‘
(1) CCD،ér1. ؇¦CCDÀªÑÑá´. cL¡BŽ^Ã>¹.
(2) ±7áj²†, ÿþžƒÕÛò.
1.5 êâL‚
§èêþi mi (g) ri (mm) r′i (mm) ri (mm)
0 0.00 3.46 3.46 3.46
1 200.79 3.61 3.60 3.61
2 400.20 3.73 3.72 3.73
3 600.00 3.85 3.84 3.85
4 799.57 3.95 3.95 3.95
5 999.60 4.08 4.09 4.09
6 1199.85 4.20 4.21 4.21
7 1399.75 4.32 4.33 4.33
8 1599.60 4.45 4.44 4.45
9 1799.68 4.55 4.55 4.55
L = 102.08− 23.90 = 78.18 (cm)
gêi 1 2 3 4 5 6 7 8 9 10
d (mm) 0.322 0.321 0.321 0.320 0.321 0.322 0.320 0.322 0.322 0.321
":Öê d0 = 0.000 mm
1.6 êâ?n9(J
1.6.1 Å{?nêâ
Äk¦ÑzO\5‡§èݲþCzþ
δL =
4∑
i=0
(ri+5 − ri)
5
= 0.61 mm, σδL = 0.01 mm
eδL = 0.01 mm, σδL =
√
(
eδL
3
)2 + σ2
δL
= 0.01 mm
¿…
m =
4∑
i=0
(mi+5 −mi)
5
= 999.6 g, σm = 0.3 g
3
em = 0.01 g, σm =
√
(
em
3
)2 + σ2
m = 0.3 g
,k
eL = 0.1 cm, σL =
eL√
3
= 0.06 cm
?":
d = 0.321 mm, σd = 0.0007 cm
ed = 0.001 mm, σd =
√
(
ed
3
)2 + σ2
d
= 0.001 mm
Œ±Ž
E =
4mgL
πd
2
δL
= 1.55× 1011 Pa
σE = E
√
(
σm
m
)2 + (
σL
L
)2 + (2
σd
d
)2 + (
σδL
δL
)2 = 0.03× 1011 Pa
Ù¥
g = 9.801 m/s2
ª
E ± σE = (1.55± 0.03)× 1011 Pa
1.6.2 Šã{ځ¦{?nêâ
r = 0.9997
k ± σk = (6.03± 0.05)× 10−4m/kg
Œ±Ž
E =
4gL
πd
2
k
= 1.57× 1011 Pa
σE = E
√
(
σk
k
)2 + (
σL
L
)2 + (2
σd
d
)2 = 0.02× 1011 Pa
4
=
E ± σE = (1.57± 0.02)× 1011 Pa
1.7 ?Ø9g
·‚æ^
ü«Ãã5?1êâ?n,JÄ´ƒÓ,§‚Ø(½ ´˜,¤±·
‚Œ±@ü«{3ù˜¯K¥°(§ÝăÓ.
2 ù­ÿ½
¼þ
2.1 8‡¦
(1) ^ù5­ÿ½7áá
¼þ
(2) ^Öêw‡ºÿþ‡ÝCz
(3) ïÄù­5Æ(ù†LÝ'X)
2.2 ¤ì^ä
Œ£Ä²1
9Č,7áù,§è9]§èµe,Öêw‡º,’º,iIkº,Ú^ÿ
‡ì
2.3 ¢n
3ù5ÝS,ØOùg­å,ù¥:LÝλ,3λ lž,
E =
Gl3
4λah3
Ù¥lü
ål,aù°Ý,hùþÝ,G = mg,m]!§èŸþ.
¢C˜X㤫
5
2.4 ¢SN
2.4.1 ÿ½ù¬á
¼þ
Xã‡Ð,¿NÐÖêw‡º¦7áµ
”˜ß, ÖÑù> ˜.3§èþ
^S/\§è,zgeüw‡ºÖÑù5> ˜.5¿Úå¯K.,2‡•‰˜g.
ÿÑùkÝ,°ÝÚþÝ.^Šã{ÚÅ{OŽ
¼þ.
2.4.2 ïÄù­5Æ
½§è‡ê,UCùkÝ,ïÄλ†l'X,‰éꁦ{‚5[Ü,¦¦‚ƒ
m'X.
2.5 êâL‚
2.5.1 ÿ½ù¬á
¼þ
§èêþi mi (g) r (mm) r′ (mm) r (mm) λi (mm)
0 0.00 49.750 49.550 49.650 0.000
1 199.92 48.866 48.648 48.757 0.893
2 399.73 48.035 47.898 47.967 1.684
3 599.47 47.206 47.064 47.135 2.515
4 799.25 46.410 46.234 46.322 3.328
5 998.94 45.555 45.418 45.487 4.164
6 1198.75 44.658 44.585 44.622 5.029
l = 30.81− 10.00 = 20.81 (cm)
gêi 1 2 3 4 5 6 7
h (mm) 1.235 1.237 1.233 1.236 1.228 1.232 1.235
a (mm) 15.00 14.96 14.86 14.92 14.92 15.04 14.96
":Öê h0 = 0.002 mm, a0 = 0.00 mm
2.5.2 ïÄù­§Ý
gêi l (cm) r (mm) r0 (mm) λ = |r − r0| (mm)
1 12.55 49.212 49.713 0.501
2 14.55 48.923 49.678 0.755
3 16.34 48.380 49.659 1.279
4 21.22 47.022 49.584 2.562
5 23.58 45.703 49.112 3.409
m = 599.47 g
6
2.6 êâ?n9(J
2.6.1 Šã{ÿ½ù¬
¼þ
r = 0.99991
k = 4.22× 10−4 m/N, σk = 0.03× 10−4 m/N
®ÿ
l = 20.81 (cm), σl = 0.06 (cm)
?":¿…ò¤ì#9²þŠØܤ
h = 1.234 mm, σg = 0.003 mm
a = 14.95 mm, σa = 0.05 mm
ÏdŒ±¦
E =
l3
4āh̄3k
= 1.90× 1011 Pa
σE = E
√
(3
σl
l
)2 + (
σa
ā
)2 + (3
σh
h̄
)2 + (
σk
k
)2 = 0.03× 1011 Pa
2.6.2 Å{?nêâÿ½
¼þ
λ̄ =
3∑
i=1
(λi+3 − λi)
3
= 2.48 mm, σλ̄ = 0.03 mm
m̄ =
3∑
i=1
(mi+3 −mi)
3
= 599.27 g, σm̄ = 0.05 g
2Ĥì#,ܤk
σλ = 0.03 mm, σm = 0.05 g
7
Œ
E =
m̄gl3
4āh̄3λ̄
= 1.90× 1011 Pa
σE = E
√
(3
σl
l
)2 + (
σa
ā
)2 + (3
σh
h̄
)2 + (
σm
m̄
)2 + (
σλ
λ̄
)2 = 0.03× 1011 Pa
2.6.3 ïÄù­5Æ
ÏLélnλ ∼ ln l?1¦{†‚[Ü,Xã
Œ
r = 0.99664, k = 3.0± 0.1
Œ±ÐÚ(@λ †l3¥‚5'X.
2.7 ?Ø9g
(1) |΃mƒåØUC,§èØUL­,7áµ
‡¦þ uù¥m
(2) ^j:éO¥m
kàÐ,ùŒ±yzgÿþѴӘ ˜λ
(3) ÿa^iIkº,ÿh^Ú^ÿ‡ì,ÿl^’º,ù´3O
ÿÝþ?±
¦ƒé
Ø(½ÝŒ—3Әþ?Ä,ϏܤƒéØ(½ÝÄžÿPkpþ?Ø(½
ÝÏf¤û½.‡ÿO‡¦þyࡆÿþºà¡éà,d	Œ±õgÿþ.
8