Fisica general mecánica - movimiento parabólico (LAB. 4)

cccccccccccccccccccccccccccccccccccccccccccc

c


cc c   c cc ccc   c ?
   cc  c
cc cccc c cc! !c" c #  $%  ccc Facultad de ingeniería, Carrera Ingeniería Civil Universidad Católica de Valparaíso

c c c c c c c c c c c c c 

%&c 'c c(  c c)* *+c

c 3 c - c c c c  -cc  c  c c ! c cc  - c,%c ! c c  c(cc# c (  /c(cc 0c #  +cc(c c (c c 6c c4( 0/cc #c  c c  cc c (c.c( 0c c  - cc

#ccc(0c c c 6 c c

0c c  c  c   c c c 

c 4c .c  !0c  c  - c c c    c c .c c (  c c  c c  c ( c c c    c c  c ( /cc c c /c(c c c#%c c c/c c# cc   c (c c c# c3  c(c c 6 /c  cc c( c 0/cc  c c c4c%!  c cc 2cc cc c  cc   c  +c c c 2

/c c #c  c c 

c 4c  c (  c c  c  c ( 0 cc  ccc(  cc c

c

 c  c c , c (c  cc cc c c   cc-#cc c c ( c.c cc(  c c %c c  c ( /c   cc  c(c c 0c .c ( /c (c c  #c c c ( c c  c ( c /c c

#c #c c c    c c  c .c  c c c   !c (c c ccc c 1c c c  c c  c  c ( 0 ccc c c   c.cc  c c c  c c -# c # (c c (  c c2  /cc(  c c c % c c (  c c (c (/c c (  c c /c  c  c  c c c c  c /c c c   /c  -c c(  c c c 3 c  0c c

c c  c c  c   /c c  c c !c c (  ccc

cc c c  c c



c 4c c  c 4c %!  /c  /c  c  c c c  c c c(  ccccc c c  c  c c c c  c ( 0 c  c  ! c (c c - /c .c  cc  ccc(  c c

c c c  c   /c c  c c c  0c c -c c   c .c ((c  c  -c 4 c c c (  /cc /c c c  c c  c c

#cc c0c c c

 /c  c -cc /c.c c  c ( 0 c  c ( c (c c c c3 c c   cc51+/c.ccc  c -c c c  /c c  c  c   c  c   c 51 +/c .c c c  c -c c c   cc c c c  c  c c 0 c c ( c c  c  c c

c

  c c  /c&c c

ܸ௙ ൌ  ܸ௢ െ ݃‫ݐ‬c ͳ ܻ ൌ  ܻ௢ ൅  ܸ௢ ‫ ݐ‬െ  ݃‫ ݐ‬ଶ c ʹ ଶ ଶ ܸ௙ ൌ  ܸ௢ െ ʹ݃οܺc c

c

c , c ܸ௙ /c .c ( c c c    c  /c  c (c c c  0/c .c c  c c c c #  c c c  c  /c c ( c  c  c   c c  c c# c&c c

ܺ ܸ௫ ൌ  c ‫ݐ‬ ܺ ൌ  ܺ௢ ൅  ܸ௫ ‫ݐ‬c c

c

c , cܸ௫ /cc c   cc c-c c c  c .c ( c  c  c  c c  cc c (c c c 7c ( c   c c   c4 c c c

c ! c(c c (  ccc cc cc c  c .c #c8c c 60 c 4 c c 0 c (c c( cc c(# &c c ܸ௢ଶ ‫݊݁ݏ‬ଶ ‫ן‬

ܻ ൌ

ʹ݃

c

c c 3 c 0 c ( c  c  c4c  ccc  c  !c

 c c  c  c  /c cc.c c   cc c( c  c c(  c #cc

c4c c /c .c c  0c ( c c

c#  cc.c c   c c c  c c c # c

cccccccccccccccccccccccccccccccccccccccccccc &c c

c

ܸ௢௫ ൌ  ܸ௢ …‘• ‫ן‬c ܸ௢௬ ൌ  ܸ௢ •‡ ‫ן‬c c c c c ( /c c  c c c c c c 0 c c   c  /cc( c

c  c (c c c .c

#c  c ( c c

c4&c c

‫ ݐ‬ൌ

ܸ௢ ‫ן ݊݁ݏ‬ c ݃

c 9#/c (c  c c 0 c c c 

c 4c c  c   /c c ( !c cc c0c c(0/c c

c# cc c

ܸ௢ଶ ‫݊݁ݏ‬ଶ ‫݃ ן‬ሺܸ௢ଶ ‫݊݁ݏ‬ଶ ‫ן‬ሻ െ c ܻ ൌ ʹ݃ଶ ݃ c ,(- c c0c(  c

#c c c 0 c 4( c c    c c 9c# c0/c( c  c c%!  c4cc  &c c ܸ௢ଶ ‫݊݁ݏ‬ଶ ‫ן‬

ܺ ൌ 

݃

c

c c c ( c c c c   c   /c c ( c  c c 0c c c  c   cc!c  cc 0&c c ݃‫ ݔ‬ଶ

‫ ݕ‬ൌ ‫ ן ƒ– ݔ‬െ 

c ʹܸ௢ଶ ܿ‫ ݏ݋‬ଶ ‫ן‬

c c c ( c c  c 0 /c c (  c  c c 

c 4c .c  !c  c (  c c c    c  c c .c c (  c  c  - /c  /c )c

c

 c%(0 c  c c cc c  c 4c %!  c   c (c  c c   c 0/c ( c c c  cc cc cc ( c  c c #c c c c c c /c c 4( c  c (.c c

0cc cc c( cc c  c 

ààà 

  
 !"   9c   c c (c c c 4( 0c&c c ÷c 1c(  c-+c ÷c $%c c c ÷c  c c(( c ÷c 5# cc -c ÷c 9(c c c %-c c c c ÷c 0 c ÷c 9c  # à "

  c 3c c ((/c c   c  -c cc# c c:;c# /c(c cc  c c  c c  c c   c ( c %%c c ( c c c %-c c c(c c %c# ccc c .c   c (c c c # /c (c # /c c ((c

 -ccc# c'*;c c c #c  c # /c c .0c  -cc# c3  /c # c  c c (/c c c  c

#c  c  c # c .c c .cc c 9c  0c  c # c c c # &c ÷c c !0c c  c  .c c  c

cc (c c( c ÷c c  c # c c c  c c

c ( c c  -c c

cccccccccccccccccccccccccccccccccccccccccccc c /c  c c  c c( c ÷c ,c c c c c c  c  c  c ( c 9#c c0c c c c( c c c 

 c c # c .  c ÷c c  c  .c ( c (  c c c  c  c

# /c c  -c  c c c  c  .c .c  c c  c  c # c .  c ÷c c c c c ( c c  c  c ccc ÷c 9#cc !c c  c c %c 0c c( c ÷c c c   c (c (c  c  c  c( c.cc#0cc c ((/c #c .c c   c ( c c c  !c cc# c ÷c c  c # c c .  c c c #0c  c c  !c  c # /cc c c# c c'*;c # c ÷c c

 Imagen I.- Construcción de un ángulo de 30° a partir de geometría Euclidiana.

'c c

cccccccccccccccccccccccccccccccccccccccccccc c ÷c , c ccÈc>cc ÷c 6(c   c