“AÑO DE LA CONSOLIDACIÓN DEL MAR DE GRAU”
FACULTAD DE INGENIERÍA POYECTO:
“DEMOLICIÓN ECOLÓGICA”
CURSO:
FÍSICA - I
DOCENTE:
DAVID ASMAT CAMPOS
INTEGRANTES:
CARRANZA VELASQUEZ, YOHANA DÍAZ PINO, OSWALDO DAVID GIL QUIÑONES, JAIME ALERTO GRAUS VERA, CINTYA ANA MARÍA PEÑA LÓPEZ MIDELY !IARITH
2016 TRUJILLO PERÚ
"# DURACIÓN DEL PROYECTO$
PROYECTO FÍSICA – I
D% &'( )*' (%+'' % +'./0, ' &' " .' (%+'' % J1&20 % 3456#
)# CRONOGRAMA DE EJECUCIÓN DEL PROYECTO$ ETAPAS
FECHA DE INICIO
FECHA DE T7RMINO
DEDICACIÓN SEMANAL 8H.(9
T5
33 % +'./0
53 % ':.2&
;
T3
5" % ':.2&
5; % +'<0
=
T"
5= % +'<0
5) % >120
?
TOTAL
3@H.(#
@# DISTRIUCIÓN DE ACTIVIDADES DE PROYECTO POR ESPECIALIZACIÓN#
3
PROYECTO FÍSICA – I
*C
abe ACTIVIDAD
RESPONSALE
FECHA DE ENTREGA
AUTOEVALUACION
OSERVACIONES
PROPUESTAS DE PROYECTO
!2'.2*B P%' L%/
3@4"56
C1+&2
P.%(%* *.%( .01%(*'(, % &' 1'& (% %&2K2 &' (%K1'#
ELAORACIÓN DE INFORME
O('&0 D'/ P20
344)56 < 5"4@56
C1+&2
L0 %&':0. % &'( 0( '%(#
ELAORACIÓN DE DIAPOSITIVAS
J'2+% G2& Q120%(
5"4@56
C1+&2
L'( %&':0. ' *2%+0 '.' '' %0(22#
COMPRA DE MATERIALES
C2*<' G.'1( V%.'
544@56
C1+&2
T%2%0 .%120 %& 2%.0 % *00(, 1% ' .%'&2/'. &'( 0+.'( %%('.2'(#
SUPERVICIÓN Y CORRECCIÓN
Y0B'' C'..'/' V%&'(1%/
5)4@56
C1+&2
R%2( %*%2'+%*% '' 20.+% < 2'0(2*2', 0..2K2%0 0% %.' %%('.20#
resa!ar "#e e$!re !%&%s %s '$!e(ra$!es $%s a)#&a%s e$ as +'$+% a+!','&a&es- .a+''!a$&% as/ e !raba% &e +a&a rerese$!a$!e
6# PRESUPUESTO$
NOMRE DEL RECURSO
CANTIDAD
COSTO 8SOLES9
P&'B' % *%00.
5
@#44
V'.2&&'( % +'%.'
3
@#44
D% &'0( % 5“
"#44
UB1
5
"#44
T%+%.'( A1
6
6#44
P&'B'( % '.* % +'1%*'
3
=#44
M0*0.
5
54#44
4
P0&%'(
3
PROYECTO FÍSICA – I
TOTAL
@#44 )@
*N% se !%3 e$ +#e$!a e a%r!e e4!ra &e a(#$%s '$!e(ra$!es- !aes +%% !5erass''+%$a- e!+
ÍNDICE DEL PROYECTO
Contenido 1 RESUEN:................................................................................................6 2
PLANTEAIENTO DEL PRO7LEA:...........................................................6
8
FORULACI9N DE LA IP9TESIS:............................................................6
;
O7JETI
GENERALES$......................................................................................... 6
•
ESPECÍFICOS$....................................................................................... 7
= FUNDAENTO TEORICO- ANTECEDENTES Y JUSTIFICACION DEL PRO7LEA..................................................................................................... 7
6
@#5#
FUNDAMENTO TEÓRICO$....................................................................7
@#3#
ANTECEDENTES$..............................................................................11
@#"#
JUSTIFICACIÓN DEL PROLEMA$......................................................11
DISE>O- ATERIALES Y E?UIPOS:.........................................................12 5
PROYECTO FÍSI CA – I
@ PROCEDIIENTO:...................................................................................
13
O7TENCI9N DE DATOS:..........................................................................13 B
DISCUSI9N:............................................................................................ 13
10
CONCLUSIONES:................................................................................. 14
11
REFERENCIAS:....................................................................................14
1 RESUEN: E& .%(%*% .0<%*0 0(2(*% % %+0(*.'. 1' 0.+' %0&K2' % %+0&22, &' 1'& 0(0*.0( &' .%'&2/'.%+0( '<100( % 1' +'1%*' < '&2'0 '&K1'( &%<%( % &' (2'# 7(*' 20'2 (% 20 % T020, % &' G.' P.2% H0*%& A'('', 0% .%('&*'+0( (1 K.' 0+.0+2(0 0 %& +%20 '+:2%*% '& *.'*'. % .%12. (1 0*'+2'2 < ' &' %/ %& 1(0 % &' (2' '.' &&%'.&0 ' ':0# R%'&2/'+0( %& .0<%*0 0.1% 0(2%.'+0( 1% (2 (% 1*2&2/' 0 .%1%2', 0*.2:12.%+0( % %2*'. +1%.*%(, '2%*%( 1% 1%% 01..2. 0. 1 +2+0 %(120 < &0( .0:&%+'( 1% K%%.' &'( %+0&220%( *.'220'&%(, *'&%( 0+0 0K%(*2 %B21&'., .2' %22*2' % +'*%.2'&%(, %*# S% *0+'. % 1%*' '.+%*.0( (20( *'&%( 0+0$ K.'%', *2%+0, %&02', *%(2, &'( 1'&%( (%. '&1&''( K.'2'( ' &0( (%(0.%( % +02+2%*0 < 1%./' % %& &':0.'*0.20 % F(2'# A& 2'&2/'. %& .0<%*0, %(%'+0( 0:*%%. .%(1&*'0( ('*2('*0.20( 0 .%(%*0 '& '&2(2( 1% B22+0(, 0% (% +1%(*.% +.K%%( +2(1&0( % %..0( 0. '' '.+%*.0 < 6
PROYECTO FÍSICA – I
'( %+0(*.'. 1% %(*% *20 % %+0&22 %( +( .%0+%':&% < +%>0. 1% %& *.'220' 2 PLANTEAIENTO DEL PRO7LEA: S%. 0(2:&% %*%.+2'. < %+0(*.'. '' '.+%*.0 (20 0 '<1' % &0( (%(0.%( < &' +'1%*', :'(00( % &' %+0&22 % 1 %2220 8 FORULACI9N DE LA IP9TESIS: U*2&2/'0 &'( %1'20%( % C2%+*2' < E(**2', (% 0. %*%.+2'. &0( '.+%*.0( (20( %2(*%*%( % 1%(*.' +'1%*'# ; O7JETI
GENERALES$ D%+0(*.'. 1% &' (2' < (1( '.+%*.0( 1%% (%. '&1&'0( +%2'*% %>%+&0( % &' 2' 0*22''#
•
ESPECÍFICOS$ D'. ' 00%. +0 .%(0&%. .0:&%+'( % 1%./' % 1' +'%.' 0B%.%*% < 0.%'', 1*2&2/'0 &'( %1'20%( % E(**2'# C0+0 .%(0&%. .0:&%+'( 0 .%(%*0 '& *2%+0 %+&%'0 % 1' %+0&22 %0&K2'#
= FUNDAENTO TEORICO- ANTECEDENTES Y JUSTIFICACION DEL PRO7LEA @#5# FUNDAMENTO TEÓRICO$ CINEMTICA R'+' % &' (2' 1% %(*12' &'( &%<%( %& +02+2%*0 % &0( 0:>%*0( (&20( (2 0(2%.'. &'( '1('( 1% &0 0.2K2' 8&'( 1%./'(9 < (% &2+2*' .22'&+%*%, '& %(*120 % &' *.'<%*0.2' % 12 % *2%+0# P'.' %&&0 1*2&2/' &' %&02' < &' '%&%.'2, 1% (0 &'( 0( .22'&%( +'K2*1%( 1% 7
PROYECTO FÍSICA – I
%(.2:% 0+0 '+:2' &' 0(22 % 12 %& *2%+0# L ' %&02' (% %*%.+2' 0+0 %& 02%*% %*.% %& %(&'/'+2%*0 < %& *2%+0 1*2&2/'0, +2%*.'( 1% &' '%&%.'2 %( %& 02%*% %*.% &' %&02' < %& *2%+0# MRU$ E( '1%& % %& 1% &' *.'<%*0.2' %( 1' &%' .%*' < &' %&02' %( 0(*'*%#
PROPIEDADES$ L' '%&%.'2 %( 2K1'& ' %.0, '& 0 '+:2'. &' %&02' % 2.%2 2 '.2'. (1 +1&0# L' %&02' 222'&, +%2' % 2(*'*%' %& +02+2%*0 *2%% %& +2(+0 '&0. % *00 +0+%*0# ECUACIONES$ X − X ° =V ° ( t )
Y −Y ° =V °
MRUV$ E( %& +02+2%*0 % 1 +2& 1<' '%&%.'2 %.+'%% 0(*'*% % +1&0 < % '2#
PROPIEDADES$ L' %&02' %( 2.%*'+%*% .00.20'& '& *2%+0# L' .'2%/ '.2' < (%K %(*' '1+%*% 0 2(+21<', %& +02+2%*0 %( '%&%.'0 0 .%*.'('0 .%(%*2'+%*%# ECUACIONES$
(
V ° + Vf
)
5#
d=
3#
Vf = v ° ± a t
"#
X = V ° + a t
)#
V f =V ° ± 2 a ( X − X ° )
2
1
t
2
2
2
8
2
PROYECTO FÍSICA – I
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
FRICCIÓN$ U' 1%./' % *2. %>%.2' (0:.% 1 0:>%*0 0. 1' 1%.' 1 0., %*#
Ilustración 1
FUERZAS MS COMUNES EN LA ESTTICA$ L'( 1%./'( 1% (% .%(%*' % &' '*1.'&%/' (0 0(%1%2'( % &' '2 % 10 % &0( 1%.0( (0:.% 0*.0(# 9
PROYECTO FÍSICA – I
FUERZAS DE CONTACTO$ S0 '1%&&' 1% %>%.% 2.%*'+%*% %*.% 1%.0( 1% (% %1%*.' % 0*'*0# C0+0 &0' *%(2 %>%.2' 0. 1 1%.0 (1(%20 (0:.% %& ':&% 1% &0 (0(*2%%# FUERZAS DE ACCIÓN A DISTANCIA$ S0 '1%&&'( 1% (% %>%.% %*.% 1%.0( 1% %(* (%'.'0( %*.% ( ' 2%.*' 2(*'2' 10 % 0*.0 0+0 &' K.'%' 0 %(0 % &0( 1%.0(#(% 1%% .%(%*'. % 0( '(0($ 1'0 &'( 1%./'( '*' % &' +2(+' 2.%2 0 1'0 (1( 2.%20%( 0.+' K1&0# FUERZAS CONCURRENTES$ S0 1%./'( 1% (% '&2' % 1 +2(+0 1*0 0 (0 1%./'( 1<'( &%'( % '2 (% 0.*' % 1 +2(+0 1*0#
Ilustración 2
FUERZA DE GRAVEDAD $ E 1 (2(*%+' '2(&'0 %& %(0 %( 2K1'& ' &' 1%./' % &' K.'%'# E& %(0 % &0( 1%.0( %( 1' 1%./' K.'2*'20'& < (% %:% ' 1% &' +'(' % &' *2%..' '*.'% ' &' +'(' % &0( 1%.0(# S% 0:*2%% 1%$ W+K FUERZAS PARALELAS $ S0 '1%&&'( 1% (2K1% &' +2(+' 2.%2 %.0 0(%% 2(*2*' &%'( % '2 #1%% .%(%*'.(% % 0( '(0($ S2 &'( 1%./'( *2%% %& +2(+0 (%*20, &' 2*%(2' % &' .%(1&*'*% *2%% 1% (%. 2K1'& ' &' (1+' % &'( 0+0%*%(# P%.0 (2 *2%% (%*20 0*.'.20, &' .%(1&*'*% %( 2K1'& ' &' 2%.%2' < '*1'.' % %& (%*20 % &' +'<0.#
10
PROYECTO FÍSICA – I
FUERZA DE COMPRESIÓN$ E( *'+:2 1' 1%. /' 2*%.' 1% (1.K% % &0( 1%.0( .K20( < (% +'22%(*' 0+0 1 ' .%(2(*%2' ' 1% %(*'( (%' 0+.2+2'(#
FUERZA DE ROZAMIENTO $ L' .%(2(*%2' 1% (% 00% '& .%(:'&'+2%*0 0 ' (1 *%%2' ' .%(:'&'., % 1 1%.0 (0:.% 0*.0 % 1' 1%./' *'K%*% ' &' (1%.22%, .%2:% %& 0+:.% % .0/'+2%*0# L'( (1%.22%( % .%'&2' 0 (0 &2('( 0. &0 1% &' .%'2 % 1 1%.0 0 %( 0.+'& 0. &0 1% (% %(0+0% % 0( 0+0%*%(, 1' %.%21&'. < &' 0*.' *'K%*%, &' 0+0%*% *'K%2'& (% %0+2' 1%./' % .22 0 .0/'+2%*0#
Ilustración 3.
@#3# ANTECEDENTES$ M*00 (2&%20(0 < %0&K20 %..2:' .'('2%&0( % J'# R%1% %& .120 < %& 0&0, %( +( (%K1.0 '.' %& %*0.0 < B'(*' %( ''/ % K%%.'. %&%*.22'# E(*'( (0 '.'*%.(*2'( %& 1%0 (2(*%+' “T%0.%” '.' %.2'. .'('2%&0(, %('..0&&'0 0. &' %+.%(' % 0(*.12 >'0%('# L' *%0&0K' 1*2&2/' 1 +*00 1% %(*.1<% 2(0 0. 2(0 %.0 %(% %& 2*%.20. % &' 0(*.12, .00'0 1' 2(+212 % .120 < +%0( 0*'+2'2 0. 0&0 02.*20&0 % 1 (2(*%+' +1B0 +( &2+20# “L' 2%' &'% %.' %(+0*'. 1' %(*.1*1.' % 1 %('20 %..'0, 2%.%*% ' &' 0.+' *.'220'& % *.':'>'. '& '2.% &2:.%” - 2>0 H2%2 IB2'.', (1%.2(0. %& %('..0&&0 % &' *%0&0K' % T'2(%2# A (1 %/ %( 1' 0.+' +1< (%K1.' % %..2:'. K.'%( 0(*.120%(, <' 1% &'( K.'( (% %1%*.' % %& 2*%.20. %& %2220 +2%*.'( %& *%B0 %( (0(*%20 0. 0&1+'( 11
PROYECTO FÍSICA – I
*%+0.'&%( 1% % ' 00 ' %(%2%0# “E( 0+0 *% %. 1' :.2' % %(+0*'>% % &' '.*% (1%.20. %& %2220 % 0.+' % 1 K.' (0+:.%.0, < &1%K0 &' 0(*.12 % ' %0K2%0 %(% &' '.*% (1%.20.”, (%'&0 %& (1%.2(0.# P%.0 %(*0 0 %( *00, 0.1% %(*% (2(*%+' *'+:2 %( ''/ % K%%.'. %%.K', <' 1% '& (''. &0( %(0+:.0( &'( K.'( .01% %%.K' 1% &1%K0 %( 1*2&2/'' '.' %%%. &1%( < 0*.0( %120( 1*2&2/'0( 1.'*% %& %(+'*%&'+2%*0# E &' '*1'&2', (% %(* 1*2&2/'0 %(*% 20'0. (2(*%+' '.' %(+'*%&'. K.'1'&+%*% %& B0*%& G.' P.2% A'('' % 10( 5)4 +%*.0( % '&*1.'# @#"# JUSTIFICACIÓN DEL PROLEMA$ P'.' 0:*%%. '&0.%( +( %'*0( % 1'*0 ' &' 2'&2/'2 % &' 0:.', %+&%'.%+0( &'( 2(*2*'( .+1&'( % &0( *%+'( +%20'0( B':2%0 %+0(*.'0 '*%.20.+%*% '' '.+%*.0 (20#
6 DISE>O- ATERIALES Y E?UIPOS:
12
PROYECTO FÍSICA – I
45 PC 0 W20( < (0*'.% L0KK%. P.0 45 I*%.'% L':P.0 U2%.('& L' 45 S%(0. % 1%./' 45 S%(0. % +02+2%*0 45 M0*0. 45 J1%K0 % %('( 8544K < 344K9 43 P&'B'( % '.* % +'1%*' 43 V'.2&&'( % +'%.' 45 &'B' % *%00. 45 UB1 4) T%+%.'( A1 P&'B' % C0..0(1 D% &'0( % 5“ P0&%'( E('&+%*.0
@ PROCEDIIENTO: 13
PROYECTO FÍSICA – I
5# M%2+0( < 0.*'+0( %& '.* % +'1%*' ' 3@5=@4 + % %('&' 553@, &1%K0 222+0( 2(0 0. 2(0 ' 1' '&*1.' % 54 + < .0%2+0( ' %K'. < ' 2*'.# 3# D%(1( 0.*'+0( &' +'%.' % 0( '.2&&'( % 6@ + < 1' % 3= + 1% 0( (2.% % (00.*% '.' &' %(*.1*1.'# T'+:2 (% 1*2&2/ 1' '>' % "@ + % &'.K0 0. 3@ % 'B0 < % '&*0 34 + 1% (2.% 0+0 1 (2(*%+' (1:*%..%0 '.' %..2:'. %& %2220 %(% &' :'(%#
"# A 0*21'2 (% 0&0 &' 0&%' % &' '.2&&' %& (2(*%+' % (00.*% 1:2'' % &' '.*% (1%.20. %& %2220, < &1%K0 %& +0*0. % &' '>' (1:*%..%'# )# T%.+2'0 0 &' %&':0.'2 % &' +'1%*', '('+0( ' '&1&'. &0( '.+%*.0( (20( '.' %&&0 (% .0%2 ' 2(*'&'. &' *'.>%*' O7TENCI9N DE DATOS: ASA 4#3!K 4#5!K
GRA
B DISCUSI9N:
10
CONCLUSIONES:
14
TENSI9N T5 T3
PROYECTO FÍSICA – I
11REFERENCIAS:
TA7LA DE ILUSTRACIONES I&1(*.'2 5$ F1%./' 1% '*' % 1 :&01% 1'0 %2(*% .22 ........................9 I&1(*.'2 3$ S2(*%+' % 1%./'( 01..%*%(#.....................................................9 I&1(*.'2 "$ E&%+%*0( 1% 2*%.2%% % 1' 1%./' % .0/'+2%*0# ...................10
15