Practica1 cinemática fi unam

8/19/2019 Practica1 cinemática fi unam

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UNAM FACULTAD DE INGENERIA División de Ciencias Básicas

DEPARTAMENTO DE MATEMÁTICAS APLICADASLABORATORIO DE MECÁNICA

CINEMATICA Y DINAMICA

PRACTICA: 1 “MOVIMIENTO RECTILÍNEOUNIFORMEMENTE ACELERADO”

GRUPO: 8 BRIGADA: !

INTEGRANTES DE LA BRIGADA:1. 2. 3. 4. 5.

SEMESTRE: 2014-2FEC"A: 3/03/14


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INTRODUCCIÓN:

Mo !"!#$%o '%!()$#o*"o !"!#$%o '+, %& ,#'%o&! # +$ ()$# '% . ! #( "' " ! # #$%! o* ( $!' &! '! $ +# +# # #6 #&!"#$% & ( #(o'! # (" +(o. E %o #&"!%# '( !7!' & #( "o !"!#$%o '%!()$#o #$ "o !"!#$%o '%!(+$!7o&"#* ! #( " +(o # ( #(o'! $o &) * , "o !"!#$%o '%!()$#o +$!7o&"#"

&! o ! #( " +(o # ( #(o'! &) # " $#& 'o$ % $%# #$ #( %& $ '+%!#" o.

! # 'o$ ! #& +# #( "o !"!#$%o '%!()$#o %!#$# (+ & #$ +$ o( !"#$ !o !'! $ #( " !( #$ '+ ( +!#& !$ % $%# +# #%#&"!$ o& #( " +(o #( #o !'! $.

Mo !"!#$%o '%!()$#o , +$!7o&"#* # %# "o !"!#$%o # ' & '%#&!9 o&%& ,#'%o&! # +$ ()$# '% , #( " +(o* ( !''! $ , #( #$%! o # ( #(

#&" $#'#$ 'o$ % $%# #$ #( %!#" o. E$ 'o$ #'+#$'! * $o #6! %# '#(#& '! $* , +# '#(#& '! $ % $ #$'! ( # $+( * +# %o +# #( " +(o # ( #(o'! # 'o$ % $%#'#(#& '! $ $o&" ( # $+( o& +# ( !''! $ # ( #(o'! # 'o$ % $%#.

#'+ '! $ # ( o !'! $ & +$ " !( +# # # ( 9 'o$ +$ "o !"!#$%o '%!()$#o+$!7o&"# 'o$ +$ #(o'! # :

6 60;


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Do$ # 0 # ( #(o'! #( " !( #$ #( !$ % $%# !$!'! (. =o& % $%o* ( #(+"#$% ' $%! # ! + (# #$ %!#" o ! + (# .

O>?ETIVO :

1.-D#%#&"!$ & ( " $!%+ # ( '#(#& '! $ # +$ '+#& o* #$ %& ,#'%o&! &o +$ ( $o !$'(!$ o* +%!(!9 $ o # +! o # ' " +%o , o7%@ !$ % (

(!9 '! $ # ( & '%!' .

2.-R# (!9 & ( & 7!' : %* % , %* +# #$% $ #( 'o" o&"o !"!#$%o # !'Bo '+#& o.

E UI=O A UTILI AR:

1. R!#( 'o$ o o&%#.2. C &&o !$ "!'o.3. I$%#&7 # “ '!#$'# o& Bo ”.4. #$ o& # "o !"!#$%o.5. I$ !' o& # $ +(o.G. Co" +% o& .

DE ARROLLLO:

=ARTE I:

1.-Co$ ,+ # + &o7# o&* #&!7! +# +# %o o #( # +! o # %H 'o$#'+ "#$%#. I$ % (# #( & (o "o %& o #$ ( 7! +& No. 1 'o$ ! #& $ o #

# !$'(!$ '! $ # 10J .

2.-E$'!#$ ( 'o" +% o& , ( !$%#&7 9* # # +# ' & +# %o% ("#! %#" .

3.-DH o (# '(!' #$ #( )'o$o D % %+ !o* # "+# %& +$ #$% $ 'o"o ( 7! +& No. 2. A 'o$%!$+ '! $ B +$ '(!' #$ C %# E6 #&!"#$% "o %& $ o ) ( #$% $ 7! +& No. 3.

4.-ABo& * $ o +$ '(!' o #( ' $ ( 1 # ( 7! +& # ( !$%#&7 9 K7! +# # (!# +$ (! % # #$ o K7! +& No. 4 # ( '+ ( # # # #(#''!o$ & M


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#$ o& B '!#$ o o (# '(!'. E( &o & " "+# %& +# #( #$ o& # % 'o$#'%!$%#&7 9 , (! %o & !$!'! & 'o$ #( #6 #&!"#$%o K7! +& No. 5 .

5.-Co$ #( 7!$ # & 7!' & #( 'o" o&% "!#$%o # ( o !'! $ #( ' &&o !$+& $%# + "o !"!#$%o* && % # ( &%# + #&!o& !9 +!#& ( o '! $

K" ( &%# !$7#&!o& !9 +!#& o ( o '! $ RA= K7! +& No. 8 . E"o %& & ( #$% $ # & 7!' '! $ K7! +& No. P .

G.-Co(o +# #( ' &&o !$ "!'o o #( ( $o !$'(!$ o #$ ( o !'! $ !$!'! (* H +$ o #( o% $ % &% , +#(%# #( ' &&o # " $#& +# H %# !$!'!# + "o !"!#$%

#( ' &&o !$ "!'o (' $'# ( o !'! $ 7!$ ( H +$ '(!' o #( o% $ %o .

Q.-E$ #( "o$!%o& # "+# %& ( & 7!' #( 'o" o&% "!#$%o # ( o !'! $ #!$ "!'o. Co$ ( ,+ # + &o7# o& o& (o %o $o # # o , o #& # !

'o" o&% "!#$%o # #( # #& o. O %#$ ( % ( # (o %!#" o ! %& o .

8.- ! ( & 7!' $o # ( # #& !% #( #6 #&!"#$%o K '%! ! # G , Q( &! '! $ # (o %o ! %& o $o ' " !# #" ! o.

=ARTE II:

1.-= & o %#$#& ( " $!%+ # ( '#(#& '! $ #( ' &&o !$ "!'o* o #( "#$ #$% $ # & 7!' '! $ H +$ '(!' #$ #( o% $ 7!% & + % & ( & 7!' +$

#(#''!o$ $ o ( o '! $ + & %!' F!%.

2.-I$%#& %# #( ! $!7!' o 7) !'o # ' +$o # (o 'o#7!'!#$%# o %#$! o .

A A'#(#& '! $ Sm / s ² > V#(o'! Sm / s C =o !'! $ Sm

3.-D#%#&"!$# #( (o& # ( " $!%+ # ( '#(#& '! $ #( ' &&o !$ "!'o. a= 1.322 K cm / s ² .


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CONCLU IONE :

1.-R# o&%# #( (o& # ( " $!%+ # ( '#(#& '! $ , ( #'+ '!o$# o %#$! a= 1.322 K cm / s ² .

v=v (t )= 1. 322 t+ 0.669 (m / s )

s=s (t )= 0 .0661 t ² + 0.669 t+ 0.195 (m )

%: A'#(#& '! $K'"/ 1.322

No. T!#" o K D! % $'! K'"1 0.0423 0.00P243P2 0.0305 0.00G1P543 0.025P 0.0050P384 0.0222 0.00424305 0.0204 0.0038405G 0.018G 0.0034455Q 0.01Q4 0.00318G38 0.01G1 0.002P0P2P 0.0154 0.002QG1G10 0.0144 0.002552Q

No. T!#" o K V#(o'! K'"/1 0.0423 0.2Q1P23842 0.0305 0.244QQ443 0.025P 0.2341P0Q24 0.0222 0.225GQQQG5 0.0204 0.22153G32G 0.018G 0.21Q3P488Q 0.01Q4 0.214G33P28 0.01G1 0.211G4288P 0.0154 0.21003232

10 0.0144 0.20QQ3152

0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.050

0

0

0.01

0.01

0.01

S vs T

sub-title

T

S


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0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.050

0.05

0.1

0.15

0.2

0.25

0.3

# vs T

T

#


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=o& (o +# '( & "#$%# # +# # #& #$ ( & 7!' * #7#'%! "#$%# # %&'o" o&% "!#$%o # +$ "o !"!#$%o '%!()$#o +$!7o&"#"#$%# '#(#& o , +# 'o# % $ # % & 7!' # 'o"o # # #$ # 'o" o&% & # ( & 7!' # # %#"o !"!#$%o.

3.-Co$ #'%o (o (o o %#$! o & ( & ! #9 , o !'! $ !$!'! (# * !

o$ # +#Wo * ! 'o& o$ #$ (o (o # #& o 'o& # 'o$ ( 'o$ !!$!'! (# #( #6 #&!"#$%o* #%'. !* #7!$!%! "#$%# (o (o !$!'! (# # ( o !'! $ , ( & ! #9 o$ # +#W

! o$ 'o& # ( 'o$ !'!o$# !$!'! (# #( #6 #&!"#$%o , o& (o % $%o ! o$ # #& o .

4.-Co" (#%# ( ! +!#$%# % ( & (o %!#" o ! %& o .

2 2.5 3 3.5 4 4.5 5 5.50

0.5

1

1.5

2

2.5

3

%

sub-title

$

a


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1.322 K"/% K K" K"/

0.04230.0000P243 0.002Q1P

0.03050.0000G1P5 0.00244Q

0.025P0.000050P3 0.002341

0.02220.00004243 0.00225G

0.0.2040.00003840 0.002215

0.018G0.00003445 0.0021Q3

0.0.1Q40.0000318G 0.00214G

0.01G10.00002P0P 0.00211G

0.01540.00002QG1 0.002100

0.01440.00002552 0.0020G8

0.01400.00002440 0.0020G8

5.-O %#$ ( !7#$'! #$% #( (o& # ( " $!%+ # ( '#(#& '! $ 'o$ #( 'o" o$#$%# # ( '#(#& '! $ # ( & # #$ ( !''! $ #( "o !"!#$%o* , B'o"#$% &!o 'o$ #'%o !'B !7#$'! .

L !7#$'! +# #6! %# #$% " '#(#& '!o$# # #( #&&o& #6 #&!"#$% ( # # %o ( 'o +# # % $ !$ o(+'& & #( +(% o # ( # #(

A+$ +# !#" # 7! +$ o&'#$% # # #&&o& #6 #&!"#$% ( #( '+ ( # ' ('+! +!#$%# " $#& :

EEX %- #6 %Y100

D# ( '+ ( $o o%&o o %+ !"o +$ ( EEX .35X.


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G.-Co$ #( &o !%o # #$%#$ #& #( ! $!7!' o 7) !'o # ( +$o #(#"#$%o #o"# ( & 7!' * B (o ! +!#$%#:

G.1 Co$ (o %o ! %& o #$ ( '%! ! Q # ( &%# I* #( o $+

& 7!' K % , %& '# +$ '+& + # o (o +$%o o %#$! o .

G.2 D! + # '% % $ #$%# ( '+& #$ (o +$%o 'o& o$ !#$%# (

! %& o , o %#$ ( #$ !#$%# # ' +$ # ( '% %& 9 . Z

#$% #( (o& # ( #$ !#$%# # ' '% [.

0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.050

0

0

0

0

0.01

0.01

0.01

0.01

0.01

0.01

S vs T

sub-title

T

S


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G.3 Co$ (o (o # ( #$ !#$%# # ( '% , #( %!#" o 'o& o$#( o

( '+& K % .

0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.050

0

0

0

0

0.01

0.01

0.01

0.01

0.01

0.01

S vs T

sub-title

T

S


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G.4 E" (#H #( "H%o o # ")$!"o '+ & o K #'+ '!o$# I , II , o %#$ ( '%#

+ %#* ) 'o"o ( #'+ '! $ +# #%#&"!$ ( & ! #9 #$ 7+$'! $ #( %!#" o.

v (t )= 1.322 t+ 0. 1744 (m / s )

G.5 Z +H #$% ( #$ !#$%# # ( '% # + %#[

L #$ !#$%# #$% ( '#(#& '! $.

0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.050

0.05

0.1

0.15

0.2

0.25

0.3

# vs T

T

#


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G.G D# ( #'+ '! $ o %#$! #$ #( +$%o G.4* o %#$ #( (o& # ( " $!%+ '#(#& '! $ , #( o ( & 7!' K % .

CONCLUSIONES: & '! ( o7%@ , ( #'+ '! $ # ( & o( + !"o o %#$#& ( '#(#&'o"o + #(o'! * #"o %& $ o +# #( MRUA +# +$ +# &! $ o #( $ +(o

'#(#& '! $ +# # o %!#$# 'o$ # %# #&" $#'# 'o$ % $%# !'B '#(#& '! $. T "$o #&' % "o +# #( o7%@ (# o " #&&o # (o # #& o o& (o

+# #%!& #( #6 #&!"#$%o &! #'# . =o& o%&o ( o* ( !$'#&%! +" #%#$ & o 'o" o$#$%# * #&* +$ # % ) %!' K # ! ( $ "#&o # #'# !%#$ ( "# ! , o%& +# !$ o(+'& #( 7 '%o& B+" $o # # $o% & # +#

+# "! # #( %!#" o '%! & o # '%! & #( '&o$ "#%&o # " $#& !7#$%"# ! o%& . =o &) 'o$ ! #& & # +$ %#&'#& 'o" o$#$%# +# # ( !$'#&%! +> # #'!7!' o& #( 7 &!' $%# #( '&o$ "#%&o* #&o H % # +# # # %o" #$ '+#$% +# ( " $o% (# # ( +# 'o& o$ # ( 7 '%o& B+" $o>I>LIO RAFÍA:

1.- OLAR . ?o& #* “C!$#" %!' , D!$ "!' > !' & I$ #$!#&o ”* ET&!(( -F '+(% # I$ #$!#&) * UNAM* 2\ # !'! $* MH6!'o* 1PP8.

2.- I>>ELER* R+ #(( C.* “M#' $!' & I$ #$!#&o * D!$ "!' ”* V#& ! $ #$ #R# #$% '!o$# , #& !'!o # !$ #$!#&) * . A.* MH6!'o* 1P84.

3.-M!'&o o7% E$' &% 2002.

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