Vo-tvitturi/slides_medicina/cinematica.pdf-ti \I~ 11 . aCù!..lera "21,' h .l. t{-Cl. lt ': V(é. 2...

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( 1- ; . . VéJ e O'os : ) v(é) =. )((t-f6t)- 6t: " .l . " : I <ltc..ro1e.. lo.. vt-{ati:t i: : vL t:. ) Vc:t11-'tt. H. e1 V(é) z LuL J V(é):a Va- I lta... AA. Jna'b; wu :f-Httl:- x::: x(toJ + Vo-t L-. I

Transcript of Vo-tvitturi/slides_medicina/cinematica.pdf-ti \I~ 11 . aCù!..lera "21,' h .l. t{-Cl. lt ': V(é. 2...

Page 1: Vo-tvitturi/slides_medicina/cinematica.pdf-ti \I~ 11 . aCù!..lera "21,' h .l. t{-Cl. lt ': V(é. 2 ) - VCt1) t:,-t:l. 'i .' 1rcce/UlJ.2t.dH. e, i&ta.lt.ta. II. t.Gt. aJ..6) ~ iLwr.

( 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 )

Page 2: Vo-tvitturi/slides_medicina/cinematica.pdf-ti \I~ 11 . aCù!..lera "21,' h .l. t{-Cl. lt ': V(é. 2 ) - VCt1) t:,-t:l. 'i .' 1rcce/UlJ.2t.dH. e, i&ta.lt.ta. II. t.Gt. aJ..6) ~ iLwr.

-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 )

Page 3: Vo-tvitturi/slides_medicina/cinematica.pdf-ti \I~ 11 . aCù!..lera "21,' h .l. t{-Cl. lt ': V(é. 2 ) - VCt1) t:,-t:l. 'i .' 1rcce/UlJ.2t.dH. e, i&ta.lt.ta. II. t.Gt. aJ..6) ~ iLwr.

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 )

Page 4: Vo-tvitturi/slides_medicina/cinematica.pdf-ti \I~ 11 . aCù!..lera "21,' h .l. t{-Cl. lt ': V(é. 2 ) - VCt1) t:,-t:l. 'i .' 1rcce/UlJ.2t.dH. e, i&ta.lt.ta. II. t.Gt. aJ..6) ~ iLwr.

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 )

Page 5: Vo-tvitturi/slides_medicina/cinematica.pdf-ti \I~ 11 . aCù!..lera "21,' h .l. t{-Cl. lt ': V(é. 2 ) - VCt1) t:,-t:l. 'i .' 1rcce/UlJ.2t.dH. e, i&ta.lt.ta. II. t.Gt. aJ..6) ~ iLwr.

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 )

Page 6: Vo-tvitturi/slides_medicina/cinematica.pdf-ti \I~ 11 . aCù!..lera "21,' h .l. t{-Cl. lt ': V(é. 2 ) - VCt1) t:,-t:l. 'i .' 1rcce/UlJ.2t.dH. e, i&ta.lt.ta. II. t.Gt. aJ..6) ~ iLwr.

~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 )

Page 7: Vo-tvitturi/slides_medicina/cinematica.pdf-ti \I~ 11 . aCù!..lera "21,' h .l. t{-Cl. lt ': V(é. 2 ) - VCt1) t:,-t:l. 'i .' 1rcce/UlJ.2t.dH. e, i&ta.lt.ta. II. t.Gt. aJ..6) ~ iLwr.

- -

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 )

Page 8: Vo-tvitturi/slides_medicina/cinematica.pdf-ti \I~ 11 . aCù!..lera "21,' h .l. t{-Cl. lt ': V(é. 2 ) - VCt1) t:,-t:l. 'i .' 1rcce/UlJ.2t.dH. e, i&ta.lt.ta. II. t.Gt. aJ..6) ~ iLwr.

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 )