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Dinamica PRAC 1 Imprimir
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Dinamica PRAC 1 Imprimir
Descripción: Ejercicios propuestos para practicar el curso de Dinámica...
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FlavioCesarPancayaFlores
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UNIVERSIDAD NACIONAL “JORGE BASADRE GROHMANN” FAC. DE INGENIERIA CIVIL, ARQUITECTURA Y GEOTECNIA
PRACTICA N°01 UNIDAD 01: CINEMÁTICA DE LA PARTÍCULA Y MOVIMIENTO RELATIVO RELATIVO 1) Una pa!"#$%a &$' (n(#(a '*' '% 'p+*+ 'n - 1 ! *' a#'%'a ' +/a &$' %a /a0n(!$ ' *$ '%+#(a *' $p%(#a 'n!' - 2 ! 3 - 4 !. S( *' *a5' &$' %a a#'%'a#(6n ' %a pa!"#$%a '*!7 '8n(a p+ %a '%a#(6n a - 9: ;
, '!'/(n' %+* a%+'* ' %a* #+n*!an!'* A 3 9 *( %a pa!"#$%a !('n' $na '%+#(a ' 2? !=* #$an+ - 1@ !.
UNIVERSIDAD NACIONAL “JORGE BASADRE GROHMANN” FAC. DE INGENIERIA CIVIL, ARQUITECTURA Y GEOTECNIA
2) A /'(a &$' $n !'n a#'%'a $n(+/'/'n!' pa*a p+ /a#a* ' 9(%6/'!+ *$#'*(a* /('n!a* (aa a '%+#(a'* ' 2 /* 3 %$'0+ ' 1 /=*. D'!'/(n' *$ '%+#(a #$an+ pa*' p+ %a *(0$('n!' /a#a ' 9(%6/'!+ 3 '% !('/p+ &$' '&$('a paa '#+' %a (*!an#(a ' 2 /.
UNIVERSIDAD NACIONAL “JORGE BASADRE GROHMANN” FAC. DE INGENIERIA CIVIL, ARQUITECTURA Y GEOTECNIA
) C+n 5a*' 'n +5*'a#(+n'*, %a '%+#(a ' $n a!%'!a p$'' ap+(/a*' p+ /'(+ ' %a '%a#(6n - .<1 .)., +n' 3 *' 'p'*an 'n /(= 3 /(%%a*, '*p'#!(a/'n!'. S( *' *a5' &$' - #$an+ ! - , '!'/(n' a) %a (*!an#(a &$' a '#+(+ '% a!%'!a #$an+ ! - 1 , 5) %a a#'%'a#(6n '% a!%'!a 'n !=*2 #$an+ ! - , #) '% !('/p+ '&$'(+ paa &$' '% a!%'!a '#+a @ /(%%a*.
UNIVERSIDAD NACIONAL “JORGE BASADRE GROHMANN” FAC. DE INGENIERIA CIVIL, ARQUITECTURA Y GEOTECNIA
) Un 0$p+ ' '*!$(an!'* %anKa $n #+'!' a '*#a%a 'n ('##(6n '!(#a%. C+n 5a*' 'n %+* a!+* '0(*!a+*, '!'/(nan &$' %a a%!(!$ '% #+'!' $' ' 4?.@ ! 'n %a pa!' 8na% '% $'%+ 'n %a &$' '% #+'!' an !'n"a (/p$%*+, 3 &$' '% #+'!' a!'(Ka 1@ * '*p$*. S( *' *a5' &$' '% paa#a"a* ' '*#'n*+ n+ p$+ a5( 3 &$' '% #+'!' '*#'n(6 'n #a"a %(5' a*!a '% *$'%+ '*p$* ' a%#anKa %a a%!$a /7(/a, 3 *$p+n('n+ &$' 0 - 2.2 !=*2, '!'/(n' a) %a ap('K 1 '% #+'!' a% 8na% '% $'%+ #+n (/p$%*+ 5) %a a%!$a /7(/a a%#anKaa p+ '% #+'!'.
UNIVERSIDAD NACIONAL “JORGE BASADRE GROHMANN” FAC. DE INGENIERIA CIVIL, ARQUITECTURA Y GEOTECNIA
) En $na #a'a ' %an#a*, %a %an#a A *' a'%an!a a %a %an#a B p+ 12 ! 3 a/5+* 5+!'* (aan a $na ap('K #+n*!an!' ' 1 /(=. En ! - , %a* %an#a* a#'%'an a !a*a* #+n*!an!'*. S( *' *a5' &$' #$an+ B '5a*a a A, ! - 4 * 3 A - 1 /(=, '!'/(n' a) %a a#'%'a#(6n ' A. 5) %a a#'%'a#(6n ' B.
UNIVERSIDAD NACIONAL “JORGE BASADRE GROHMANN” FAC. DE INGENIERIA CIVIL, ARQUITECTURA Y GEOTECNIA
@) E% #+%%a"n A (n(#(a *$ /+(/('n!+ '*' '% 'p+*+ 'n ! - 3 *' /$'' a#(a a5a+ #+n $na a#'%'a#(6n #+n*!an!' ' (n=*2. E% #+%%a"n B *' '*p%aKa a#(a a(5a #+n $na a#'%'a#(6n #+n*!an!' 3 *$ '%+#(a (n(#(a% '* ' 4 (n=*. S( *' *a5' &$' '% #+%%a"n B *' /$'' 2 (n. 'n!' ! - 3 ! - 2 *, '!'/(n' a) %a* a#'%'a#(+n'* '% #+%%a"n B 3 '% 5%+&$' C, 5) '% !('/p+ 'n '% #$a% %a '%+#(a '% 5%+&$' C '* #'+, #) %a (*!an#(a &$' a57 '#+(+ '% 5%+&$' C 'n '*' !('/p+.
) La 078#a '*#(5' %a p+*(#(6n ' $n #(#%(*!a &$' (aa a %+ %a0+ ' $na #a'!'a '#!a. Ta#' %a* 078#a* ' ! 3 a!.
UNIVERSIDAD NACIONAL “JORGE BASADRE GROHMANN” FAC. DE INGENIERIA CIVIL, ARQUITECTURA Y GEOTECNIA
4) S' (*paa $n p+3'#!(% #+n $na '%+#(a (n(#(a% ' A - 1 /=* '*' %a aK+!'a ' $n '(8#(+. D'!'/(n' %a (*!an#(a R +n' 0+%p'a '% *$'%+ 'n B.
UNIVERSIDAD NACIONAL “JORGE BASADRE GROHMANN” FAC. DE INGENIERIA CIVIL, ARQUITECTURA Y GEOTECNIA
?) Un a$!+/6(% 3 $n #a/(6n (aan a $na ap('K #+n*!an!' ' /(= '% a$!+/6(% '*!7 ! '!7* '% #a/(6n. E% #+n$#!+ '% a$!+ &$('' '5a*a a% #a/(6n, '*!+ '*, '*'a #+%+#a *$ a$!+/6(% 'n B, ! p+
UNIVERSIDAD NACIONAL “JORGE BASADRE GROHMANN” FAC. DE INGENIERIA CIVIL, ARQUITECTURA Y GEOTECNIA
'%an!' '% #a/(6n, 3 '*p$* '0'*a a %a ap('K ' /(=. La a#'%'a#(6n /7(/a '% a$!+/6(% '* ' !=*2 3 %a /7(/a '*a#'%'a#(6n +5!'n(a a% ap%(#a %+* 'n+* '* ' 2 !=*2. PC$7% '* '% !('/p+ /7* #+!+ 'n '% &$' '% #+n$#!+ '% a$!+/6(% p$'' #+/p%'!a %a +p'a#(6n ' '5a*' *( 'n n(n0n /+/'n!+ *+5'pa*a %a ap('K ' /(= D(5$' %a #$a !.
1) E% #+/p+n'n!' ' $na /7&$(na *' '#$5' #+n p(n!$a ' *pa3 /('n!a* *' /+n!a *+5' $na !a(/a &$' *' '*p%aKa a / 'n 2 *. La
UNIVERSIDAD NACIONAL “JORGE BASADRE GROHMANN” FAC. DE INGENIERIA CIVIL, ARQUITECTURA Y GEOTECNIA
!a(/a !('n' $na '%+#(a (n(#(a% ' 4 //=* 3 p$'' a#'%'a*' a $na aK6n /7(/a ' @ //=*2. S( *' *a5' &$' '% p+#'*+ ' p(n!$a '&$('' 1 * paa !'/(na*' 3 *' %%'a a #a5+ /('n!a* %a !a(/a *' /$'' a $na '%+#(a #+n*!an!', '!'/(n' '% a%+ /7* p'&$'+ p+*(5%' ' %a ap('K /7(/a ' %a !a(/a.
11) S' !('n' &$' pa!'a '% 5a%6n ' $!5+% *+5' '% p+*!' ' /'!a, '% #$a% !('n' 1 p('* ' a%!$a. S( *$ ap('K (n(#(a% '* A - 4 p('*=*, '!'/(n' *( '(!a 0+%p'a '% p+*!', 3 *( %+ a#', p+ #$an!+ .
UNIVERSIDAD NACIONAL “JORGE BASADRE GROHMANN” FAC. DE INGENIERIA CIVIL, ARQUITECTURA Y GEOTECNIA
12) La* '#$a#(+n'* - <2! !2)/ 3 3 -
UNIVERSIDAD NACIONAL “JORGE BASADRE GROHMANN” FAC. DE INGENIERIA CIVIL, ARQUITECTURA Y GEOTECNIA
1) La p+*(#(6n ' $na pa!"#$%a *' '8n' #+/+ - 2 () 2 #+* () 3 +n' ! '*!7 'n *'0$n+*. D'!'/(n' %a* /a0n(!$'* ' %a '%+#(a 3 a#'%'a#(6n 'n #$a%&$(' (n*!an!'.
UNIVERSIDAD NACIONAL “JORGE BASADRE GROHMANN” FAC. DE INGENIERIA CIVIL, ARQUITECTURA Y GEOTECNIA
1) D+* #(#%(*!a* A 3 B (aan 'n *'n!(+ #+n!a(+ a %a* /an'#(%%a* '% '%+ a%''+ ' $na p(*!a #(#$%a a $na ap('K #+n*!an!' ' 4 p('* = * 'n '% (n*!an!' /+*!a+. S( %a ap('K ' A *' (n#'/'n!a a ( ) - () /2 , +n' '*!7 'n p('*, '!'/(n' %a (*!an#(a /'(a 'n *'n!(+ #+n!a(+ a %a* /an'#(%%a* '% '%+ a %+ %a0+ ' %a p(*!a B a A 'n!' %+* #(#%(*!a* #$an+ ! - 1*. PC$7% '* %a /a0n(!$ ' %a a#'%'a#(6n ' #aa #(#%(*!a 'n '*' (n*!an!'
UNIVERSIDAD NACIONAL “JORGE BASADRE GROHMANN” FAC. DE INGENIERIA CIVIL, ARQUITECTURA Y GEOTECNIA
SOLUCIONARIO 1. B'' E'#(#(+ 11.1@ WAG 2. a#(% . B'' E'#(#(+ 11.2 WAG 1
UNIVERSIDAD NACIONAL “JORGE BASADRE GROHMANN” FAC. DE INGENIERIA CIVIL, ARQUITECTURA Y GEOTECNIA
. B'' E'#(#(+ 11.@ WAG . B'' E'#(#(+ 11.2 WAG 2 @. B'' E'#(#(+ 11. WAG . H(55''%' EJER. 12.@. pa0 @ 4. F7#(% ?. B'' E'#(#(+ 11.1 WAG @ 1. B'' E'#(#(+ 11. WAG @1 11. H(55''%' EJER. 121. pa0 @? 12. H(55''%' EJER. 121. pa0 4 1. H(55''%' EJER. 121@. pa0 41 1. H(55''%' EJER. 1212. pa0 42
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