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Don/ # & momn$o / %n(%" (#3$o "& n$(o / m"#" 8 &" m"#"/&" 4"(("7
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IV- PROCEDIMIENTO EXPERIMENTAL:
a) M a!" #a$ !%:
Un" 4"((" m$)&%" / &ong%$u/10=,.m Un #o3o($ / m"/(" onu;%&&"7
Do# mo(/"!"# #%m3 Un (on5m$(o /%g%$"&
Un" (g&" m%&%m$("/"
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VI- DATOS EXPERIMENTALES:
, !-.!('
L'+/#.!0(*) "!"# "$!"# "%!"# , !'%(#$a(#'+!%
P!"#'' T
1 .171 070. 7 7. 7. 20 1712 .7= 070. 27= 27=0 27= 20 17. 170 070. 272 2721 272 20 17123 .7= 070. 17. 17= 17. 20 17.04 17 070. 17 270 270 20 17.==5 270 070. 270= 272. 270 20 1706 207= 070. 71 7 72 20 177 1.7= 070. 17=2 172 1711 10 17.8 1170 070. 2072= 2071 207= 10 270219 .7= 070. 272 27 27. 10 27.
#agujeros 21
A 0.7cm
O L U 9 E N1HOLU9EN DE LA BARRA CONAGUEROS
B 4.1cm V A.B.C1
21 r2A
C 10!.cm
M
1"!4.gr
r 0.7cm
Rm3&"!"n/o &o# /"$o#: 1H07J71.J10=7.J>2171J07.
2J07J
1H2=271m
DENS IDA D Jz cm M 1"! 4 . gr
V 2!2.1#cm#
$.4"gr
cm#
9Hm"#" / &" 4"((" on "gu+(o#
mH m"#" / un %&%n/(o #o&%/o, u8o -o&umn # %gu"& "& -o&umn / un"gu+(o / &" 4"((" 8 u8" /n#%/"/ # &" m%#m" u &" / &" 4"(("7
9K21mHm"#" / un" 4"((" #o&%/" #%n "gu+(o#7
ZH /%#$"n%" n$( &o# n$(o# / /o# "gu+(o# on#u$%-o#7
LH /%#$"n%" n$( & C7G7 / &" 4"((" 8 & + / g%(o OM
1
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II- CLCULOS Y RESULTADOS:
1;- Ta&$a "!a$#
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&; A >a"#" ! $a !(.a(#?+ , = $-
+('+ I aa >'" $a !(.a(#?++= +
+
,%.!$ !+(.!+"! !$ =a$'" ! ! >a"a @.! !$ >!"#'' %!a *+#*';
C A L CU L O D E L M O M EN T O D E INERCIA
E& momn$o / %n(%" / &" 4"((" mo#$("/" (#3$o "& + u 3"#" 3o( OM#() 0J %gu"& "& 9omn$o / %n(%" / &" 4"((" #o&%/" #%n "gu+(o# M J
(#3$o "& + u 3"#" 3o( OM mno# & 9omn$o / %n(%" /& on+un$o /%&%n/(o# #o&%/o# "gu+(o# / &" 4"((" MJ(#3$o "& + u 3"#" 3o( OM7
En$on# &" u"%5n #():I0 I1 I
2
;; 0I)
-a$$a+' I1 :
U#"n/o & momn$o / %n(%" / un 3"("&&33/o 8 & $o(m" / S$%n(,$nmo#:
IM
2 1m1
12
-B2
C2 -M 21mL
2 IIJ
Don/ LM # %gu"& " &" /%#$"n%" n$( & n$(o / g("-/"/ C7GM 8 & + /g%(o oM
A'"a a$$a*'% I2 7
S" & #%gu%n$ g("6%o &" (3(#n$"%5n / $o/o# &o# %&%n/(o# #o&%/o#,6"&$"n$# n &" 4"((" on ;uo#7
Centro de gravedad de/ on1nto de
i/indro3 4C'G5
D"$o#:
mH m"#" / "/" %&%n/(o
E/ i/indro 4a5 3e enentra de
o/or ro1o 6ara di7ereniar/o 6or
oinidir on e/ C'G
m vcilindro
m $.4" #.14-0.72
0.7 ".01gr
'8
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A;o(" m/%"n$ & $o(m" / S$%n( ;"&&"mo# & momn$o / %n(%" /&on+un$o / %&%n/(o# (#3$o / un n$(o / g%(o oMI
2J 3"("&&" "& C7GM7
5 21mr
22
2
770mz2
21mL2 7IIIJ
Rm3&"!"n/o IIJ 8 IIIJ n IJ $nmo#:
I0 I1 I2
I0H
M 21m
12
-B2
C2 -M
21mL2 > 21
mr
2
2
770mz2
21mL2J
Po( &o $"n$o I0 (3(#n$" & momn$o / %n(%" / &" 4"((" on "gu+(o#
(#3$o un + u 3"#" 3o( OM7
CA LCU LO DE L PER IOD O 9IN I 9O
A 3"($%( / &" u"%5n T 2I
0
MgL
ConI
0HM 21m
12
-B2
C2 -M
21mL2>21
mr
2
2
770mz2
21mL2J
Enon$("mo# un -"&o( LM 3"(" & u"& & 3(%o/o #" mn%mo7
Rm3&"!"n/o &"# u"%on# $nmo#:M 21m
-B2 C
2
-M21mL
2
-21mr
2
770mz2
21mL2
T 2 1 2 2MgL
P"(" u & 3(%o/o #" mn%mo "3&%"mo# & (%$(%o / &" 3(%m(" /(%-"/":
D(%-"n/o:
2 -2-M 21mL 42mL MgL Mg -M 21m -B2
C2
-M 21mL2
-21 m r2 770mz
2
21mL2
T 1 2 2
L M 2 1m-B
2
12
C2 -
M21mL
2
-21m
r2
2
770mz2
21mL2- MgL
S% TmnimoT
0L
M 21 m-B
2 C2
- 21m
r2
770 mz2
D#3+"n/o LM $nmo# L 12 2 M
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7J
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An"&%!"n/o &" "n$(%o( (&"%5n: L es igual a la raz cuadrada de la relacinentre el momento de inercia ,del objeto en anlisis respecto su centro de
gravedad, y su masa.
Rm3&"!"n/o /"$o# n J:
Lteorico1!0!74.$"
1"!4.
#1.7cm
*"&&"mo# TM n
M 2 1m-B
2 C2
-M21mL
2 -21mr
2
770mz2
21mL2
T 2 1 2 2
MgL
Rm3&"!"n/o /"$o#: Tteorico 1."s
(; C'*>a"! !$ =a$'" ! ! '&!+#' !+ &; ('+ !$ @.! '!+! ! $a /"#(a !+
a
D& g()6%o o4$n%/o n "7 # $%n " non$("( 3o( 3(o3o(%on"&%/"/"3(o
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E
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;- C'+ !$ =a$'" ! T ('+'(#' !>!"#*!+a$!%K !+(.!+"!K .#$# = )'I +)
0 )000 2000&000
Ttulo del
eje
Serie3)
inea/
%Serie3),
inea/
%Serie3),
Ttulod
eleje
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7;-DEMOSTAR EN FORMA ANALTICA LAS RELACIONES 01;1) Y 01;2)
E& 3'n/u&o 6#%o # un #%#$m" on un #5&o g("/o / &%4($"/ &o((#3on/%n$ " &" (o$"%5n "&(//o( /& + 6%+o ZZQ F%gu(" 1J7 L" 3o#%%5n/& 3'n/u&o 6#%o u/" /$(m%n"/", n u"&u%( %n#$"n$, 3o( & )ngu&o u 6o(m" & 3&"no /$(m%n"/o 3o( & + / (o$"%5n ZZQJ 8 & n$(o /
g("-/"/ GJ /& 3'n/u&o on & 3&"no -($%"& u 3"#" 3o( & + / (o$"%5n7
L&"m"(mo# M " &" /%#$"n%" /& n$(o / g("-/"/ GJ /& 3'n/u&o "& + /
(o$"%5n ZZQ7 Cu"n/o & 3'n/u&o #$) /#-%"/o / #u 3o#%%5n / u%&%4(%o
#$"4&J un )ngu&o , "$@"n #o4( '& /o# 6u(!"# 8 J u8o momn$o
(#u&$"n$ on (#3$o "& + ZZQ # un -$o( /%(%g%/o " &o &"(go /& + /(o$"%5n ZZQ, n & #n$%/o ng"$%-o /& m%#mo #$o #:
S% # & momn$o / %n(%" /& 3'n/u&o (#3$o "& + / #u#3n#%5n ZZQ 8
&&"m"mo# " &" "&("%5n "ngu&"( /& m%#mo, & $o(m" /& momn$o
"ngu&"( no# 3(m%$ #(%4%( &" u"%5n /%6(n%"& /& mo-%m%n$o / (o$"%5n/& 3'n/u&o:
u 3o/mo# #(%4%( n &" 6o(m":
u # un" u"%5n /%6(n%"& / #gun/o o(/n, /& m%#mo $%3o u &" unon$("mo# 3"(" & 3'n/u&o #%m3&7
En & "#o / u &" "m3&%$u/ "ngu&"( / &"# o#%&"%on# #" 3u",3o/mo# 3on( #n 8 &" u"%5n V "/o3$" &" 6o(m"
u o((#3on/ " un mo-%m%n$o "(m5n%o #%m3&7
E& 3(%o/o / &"# o#%&"%on# #
171J
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F%g71J
S "#um%(), #%n 3'(/%/" / gn("&%/"/, u n un #%#$m" / oo(/n"/"#"($#%"no &" /%#$"n%" 3(3n/%u&"( n$( &o# +# # nun$(" " &o &"(go /&+ < 8 u & n$(o / m"#"# # nun$(" n & o(%gn7 E& momn$o /%n(%" (&"$%-o "& + !, u 3"#" " $("-'# /& n$(o / m"#"#, #:
E& momn$o / %n(%" (&"$%-o "& nu-o +, " un" /%#$"n%" 3(3n/%u&"( ( " &o&"(go /& + < /& n$(o / m"#"#, #:
S% /#"((o&&"mo# & u"/("/o, # o4$%n:
E& 3(%m( $'(m%no # Im, & #gun/o $'(m%no u/" omo m(2, 8 & @&$%mo$'(m%no # "nu&", 3u#$o u & o(%gn #$) n & n$(o / m"#"#7 A#, #$"
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