Vo-tvitturi/slides_medicina/cinematica.pdf-ti \I~ 11 . aCù!..lera "21,' h .l. t{-Cl. lt ': V(é. 2...
Transcript of Vo-tvitturi/slides_medicina/cinematica.pdf-ti \I~ 11 . aCù!..lera "21,' h .l. t{-Cl. lt ': V(é. 2...
( 1-
VeacuteJ e
Oos Ve((JCL~ lt~lttagravek~~ )v(eacute) = ~ )((t-f6t)shy
Ilt~o 6t l
I ltltcro1e lo vt-atiti vLt ) Vct11-tt H e1 ~() V(eacute) z C6fta~b LuL ~(J J V(eacute)a Va- I
lta AA Jnab wuf-Httlshy
x x(toJ + Vo-t L-
I
-ti I~ 11
h laCugravelera21
t-Cl
lt V(eacute2 ) - VCt1) t- tl
i 1rcceUlJ2tdH e iamptaltta II tGt
aJ6) ~ iLwr V(t+~-t)-VCeacute) 6eacute~o At
Fbull IL IHOto UlAf rSUe a o
Se aCt) ~ C4fta~ ( lt- dL~vu-(o da ato ) ~6) = tLo t ha lt( JucIt1r
I IUJtt-r ~tQ acuJu-ato
)( ~ x(eacuteo) + vCeacute) t + -- ao t 2shy~ L 2shy
Xo ve
v(t) = v fAot
eshyI
il 61ft l ffdIlaquoek-te- J tograve ~rr-Je aUa
f1uteitm-la
Velocita- ~ atcJet11~e ~
6coFcSi-~~~ ltakc ~-t
Esf--toLO vdt-o f lGJlO
(2 ~ ~~)
- ( I
I (VJ
J ~ettpo ttoto ~ ~ flll-hfo ( i ~~ ~-fgtO
( vitt ) CD
x
oc~ lia~
et =CO-~)
t O i~igrave (JIe cW Ilioto (II~ llt ~ CO
bull ~14~ X h~ c ~ accdtraticme ~ ~oib tUA~foHWt ~(t) vO)C
)((t) -= Va t-x bull twur o cuuJem~ltnte ~st-au~~
Iloti 1Akif (1ce JVt (t ) -= VOca-- - (~t l ~Lth G~t -i Dt2
~JAgravefO- (a na aCCtltYrL1C1k V~ta-
vd(JCLU a~lare cosbut~
fJ ~eCt)
8 8o+ 1UC
AQ =
(v i R~ cusOnttc Ugravet lItorkl I
amp1 ca dt ~~21agravekf vl1l1agravebte
Vtncr iL Ce Cl
( 1 = 10L 2shy
- -
bull
bull
(
X(eacute) ~ Al1( I
ftJSorugraveme ( __)aJKfi~ ~
ar1 wT~ 2 A~x=middot _ 21f
obs ttagt ~S~~ dt unue la protebCru e ltL ILk cbalv-eb-o deR klaquoJTh Ltrco hr-euroshy
UJktfol-UJ(L dL ~~ f- ~~ ~1aJ-e Mf ( eeacute) = (J t )
eCt)wC
A ~ (IN )
vCt) = wA (wt) = wA
twJ
(t- shy
ma l all l O L
T ( t -= -- I 2
t ) =--I1-A olk(wt) -W~ x(t)
Il) Cteu1UzL~mtL
hta~lttut a ti Fro~~etJuui alLo ~14t-a
( obs f t-t~ e1ailidt~
=FCx)= mmiddot lA- - - (x )
-ti I~ 11
h laCugravelera21
t-Cl
lt V(eacute2 ) - VCt1) t- tl
i 1rcceUlJ2tdH e iamptaltta II tGt
aJ6) ~ iLwr V(t+~-t)-VCeacute) 6eacute~o At
Fbull IL IHOto UlAf rSUe a o
Se aCt) ~ C4fta~ ( lt- dL~vu-(o da ato ) ~6) = tLo t ha lt( JucIt1r
I IUJtt-r ~tQ acuJu-ato
)( ~ x(eacuteo) + vCeacute) t + -- ao t 2shy~ L 2shy
Xo ve
v(t) = v fAot
eshyI
il 61ft l ffdIlaquoek-te- J tograve ~rr-Je aUa
f1uteitm-la
Velocita- ~ atcJet11~e ~
6coFcSi-~~~ ltakc ~-t
Esf--toLO vdt-o f lGJlO
(2 ~ ~~)
- ( I
I (VJ
J ~ettpo ttoto ~ ~ flll-hfo ( i ~~ ~-fgtO
( vitt ) CD
x
oc~ lia~
et =CO-~)
t O i~igrave (JIe cW Ilioto (II~ llt ~ CO
bull ~14~ X h~ c ~ accdtraticme ~ ~oib tUA~foHWt ~(t) vO)C
)((t) -= Va t-x bull twur o cuuJem~ltnte ~st-au~~
Iloti 1Akif (1ce JVt (t ) -= VOca-- - (~t l ~Lth G~t -i Dt2
~JAgravefO- (a na aCCtltYrL1C1k V~ta-
vd(JCLU a~lare cosbut~
fJ ~eCt)
8 8o+ 1UC
AQ =
(v i R~ cusOnttc Ugravet lItorkl I
amp1 ca dt ~~21agravekf vl1l1agravebte
Vtncr iL Ce Cl
( 1 = 10L 2shy
- -
bull
bull
(
X(eacute) ~ Al1( I
ftJSorugraveme ( __)aJKfi~ ~
ar1 wT~ 2 A~x=middot _ 21f
obs ttagt ~S~~ dt unue la protebCru e ltL ILk cbalv-eb-o deR klaquoJTh Ltrco hr-euroshy
UJktfol-UJ(L dL ~~ f- ~~ ~1aJ-e Mf ( eeacute) = (J t )
eCt)wC
A ~ (IN )
vCt) = wA (wt) = wA
twJ
(t- shy
ma l all l O L
T ( t -= -- I 2
t ) =--I1-A olk(wt) -W~ x(t)
Il) Cteu1UzL~mtL
hta~lttut a ti Fro~~etJuui alLo ~14t-a
( obs f t-t~ e1ailidt~
=FCx)= mmiddot lA- - - (x )
eshyI
il 61ft l ffdIlaquoek-te- J tograve ~rr-Je aUa
f1uteitm-la
Velocita- ~ atcJet11~e ~
6coFcSi-~~~ ltakc ~-t
Esf--toLO vdt-o f lGJlO
(2 ~ ~~)
- ( I
I (VJ
J ~ettpo ttoto ~ ~ flll-hfo ( i ~~ ~-fgtO
( vitt ) CD
x
oc~ lia~
et =CO-~)
t O i~igrave (JIe cW Ilioto (II~ llt ~ CO
bull ~14~ X h~ c ~ accdtraticme ~ ~oib tUA~foHWt ~(t) vO)C
)((t) -= Va t-x bull twur o cuuJem~ltnte ~st-au~~
Iloti 1Akif (1ce JVt (t ) -= VOca-- - (~t l ~Lth G~t -i Dt2
~JAgravefO- (a na aCCtltYrL1C1k V~ta-
vd(JCLU a~lare cosbut~
fJ ~eCt)
8 8o+ 1UC
AQ =
(v i R~ cusOnttc Ugravet lItorkl I
amp1 ca dt ~~21agravekf vl1l1agravebte
Vtncr iL Ce Cl
( 1 = 10L 2shy
- -
bull
bull
(
X(eacute) ~ Al1( I
ftJSorugraveme ( __)aJKfi~ ~
ar1 wT~ 2 A~x=middot _ 21f
obs ttagt ~S~~ dt unue la protebCru e ltL ILk cbalv-eb-o deR klaquoJTh Ltrco hr-euroshy
UJktfol-UJ(L dL ~~ f- ~~ ~1aJ-e Mf ( eeacute) = (J t )
eCt)wC
A ~ (IN )
vCt) = wA (wt) = wA
twJ
(t- shy
ma l all l O L
T ( t -= -- I 2
t ) =--I1-A olk(wt) -W~ x(t)
Il) Cteu1UzL~mtL
hta~lttut a ti Fro~~etJuui alLo ~14t-a
( obs f t-t~ e1ailidt~
=FCx)= mmiddot lA- - - (x )
Velocita- ~ atcJet11~e ~
6coFcSi-~~~ ltakc ~-t
Esf--toLO vdt-o f lGJlO
(2 ~ ~~)
- ( I
I (VJ
J ~ettpo ttoto ~ ~ flll-hfo ( i ~~ ~-fgtO
( vitt ) CD
x
oc~ lia~
et =CO-~)
t O i~igrave (JIe cW Ilioto (II~ llt ~ CO
bull ~14~ X h~ c ~ accdtraticme ~ ~oib tUA~foHWt ~(t) vO)C
)((t) -= Va t-x bull twur o cuuJem~ltnte ~st-au~~
Iloti 1Akif (1ce JVt (t ) -= VOca-- - (~t l ~Lth G~t -i Dt2
~JAgravefO- (a na aCCtltYrL1C1k V~ta-
vd(JCLU a~lare cosbut~
fJ ~eCt)
8 8o+ 1UC
AQ =
(v i R~ cusOnttc Ugravet lItorkl I
amp1 ca dt ~~21agravekf vl1l1agravebte
Vtncr iL Ce Cl
( 1 = 10L 2shy
- -
bull
bull
(
X(eacute) ~ Al1( I
ftJSorugraveme ( __)aJKfi~ ~
ar1 wT~ 2 A~x=middot _ 21f
obs ttagt ~S~~ dt unue la protebCru e ltL ILk cbalv-eb-o deR klaquoJTh Ltrco hr-euroshy
UJktfol-UJ(L dL ~~ f- ~~ ~1aJ-e Mf ( eeacute) = (J t )
eCt)wC
A ~ (IN )
vCt) = wA (wt) = wA
twJ
(t- shy
ma l all l O L
T ( t -= -- I 2
t ) =--I1-A olk(wt) -W~ x(t)
Il) Cteu1UzL~mtL
hta~lttut a ti Fro~~etJuui alLo ~14t-a
( obs f t-t~ e1ailidt~
=FCx)= mmiddot lA- - - (x )
J ~ettpo ttoto ~ ~ flll-hfo ( i ~~ ~-fgtO
( vitt ) CD
x
oc~ lia~
et =CO-~)
t O i~igrave (JIe cW Ilioto (II~ llt ~ CO
bull ~14~ X h~ c ~ accdtraticme ~ ~oib tUA~foHWt ~(t) vO)C
)((t) -= Va t-x bull twur o cuuJem~ltnte ~st-au~~
Iloti 1Akif (1ce JVt (t ) -= VOca-- - (~t l ~Lth G~t -i Dt2
~JAgravefO- (a na aCCtltYrL1C1k V~ta-
vd(JCLU a~lare cosbut~
fJ ~eCt)
8 8o+ 1UC
AQ =
(v i R~ cusOnttc Ugravet lItorkl I
amp1 ca dt ~~21agravekf vl1l1agravebte
Vtncr iL Ce Cl
( 1 = 10L 2shy
- -
bull
bull
(
X(eacute) ~ Al1( I
ftJSorugraveme ( __)aJKfi~ ~
ar1 wT~ 2 A~x=middot _ 21f
obs ttagt ~S~~ dt unue la protebCru e ltL ILk cbalv-eb-o deR klaquoJTh Ltrco hr-euroshy
UJktfol-UJ(L dL ~~ f- ~~ ~1aJ-e Mf ( eeacute) = (J t )
eCt)wC
A ~ (IN )
vCt) = wA (wt) = wA
twJ
(t- shy
ma l all l O L
T ( t -= -- I 2
t ) =--I1-A olk(wt) -W~ x(t)
Il) Cteu1UzL~mtL
hta~lttut a ti Fro~~etJuui alLo ~14t-a
( obs f t-t~ e1ailidt~
=FCx)= mmiddot lA- - - (x )
~JAgravefO- (a na aCCtltYrL1C1k V~ta-
vd(JCLU a~lare cosbut~
fJ ~eCt)
8 8o+ 1UC
AQ =
(v i R~ cusOnttc Ugravet lItorkl I
amp1 ca dt ~~21agravekf vl1l1agravebte
Vtncr iL Ce Cl
( 1 = 10L 2shy
- -
bull
bull
(
X(eacute) ~ Al1( I
ftJSorugraveme ( __)aJKfi~ ~
ar1 wT~ 2 A~x=middot _ 21f
obs ttagt ~S~~ dt unue la protebCru e ltL ILk cbalv-eb-o deR klaquoJTh Ltrco hr-euroshy
UJktfol-UJ(L dL ~~ f- ~~ ~1aJ-e Mf ( eeacute) = (J t )
eCt)wC
A ~ (IN )
vCt) = wA (wt) = wA
twJ
(t- shy
ma l all l O L
T ( t -= -- I 2
t ) =--I1-A olk(wt) -W~ x(t)
Il) Cteu1UzL~mtL
hta~lttut a ti Fro~~etJuui alLo ~14t-a
( obs f t-t~ e1ailidt~
=FCx)= mmiddot lA- - - (x )
- -
bull
bull
(
X(eacute) ~ Al1( I
ftJSorugraveme ( __)aJKfi~ ~
ar1 wT~ 2 A~x=middot _ 21f
obs ttagt ~S~~ dt unue la protebCru e ltL ILk cbalv-eb-o deR klaquoJTh Ltrco hr-euroshy
UJktfol-UJ(L dL ~~ f- ~~ ~1aJ-e Mf ( eeacute) = (J t )
eCt)wC
A ~ (IN )
vCt) = wA (wt) = wA
twJ
(t- shy
ma l all l O L
T ( t -= -- I 2
t ) =--I1-A olk(wt) -W~ x(t)
Il) Cteu1UzL~mtL
hta~lttut a ti Fro~~etJuui alLo ~14t-a
( obs f t-t~ e1ailidt~
=FCx)= mmiddot lA- - - (x )
vCt) = wA (wt) = wA
twJ
(t- shy
ma l all l O L
T ( t -= -- I 2
t ) =--I1-A olk(wt) -W~ x(t)
Il) Cteu1UzL~mtL
hta~lttut a ti Fro~~etJuui alLo ~14t-a
( obs f t-t~ e1ailidt~
=FCx)= mmiddot lA- - - (x )