Informe Lab 9 Fisica 3 Univalle

 

Iruph 6; Iruph `m trkjknh 9

MRVMZDOMPHQ AHE ODAZHHE@KQ Detmirketms>

Zmsuome

Me mstm mstm trkjk trkjknh nh sm ms mstu tu`d `dñ ñ mc ah ahop ophr hrtk tkod odmet meth h `m ck ckss od odar arhh hhe` e`ks ks k tr trkvä kväss `m tr trms ms mxpmrdomeths. Me prdomr cuikr, sm ahoprhjñ ck cmy `m rmlcmxdñe om`dketm ck hjsmrvkadñe `m cks cmaturks hjtmed`ks phr mc rmampthr7 phstmrdhrometm, om`dketm mc ohetknm mxpmrdometkc y tmñrdah `m cks he`ks mstkadhekrdks sm `mtmrodeñ ck cheidtu` `m he`k, y, phr þctdoh, mc ahophrtkodmeth `m cks odarhhe`ks k trkväs `m `hs rme`dnks. Ck prdomrk pkrtm sm rmkcdzñ sdtuke`h mc modshr lrmetm k uek cëodek `m omtkc ahe ue ëeiuch y ahe mc rmamp rmampth thrr sm ah ahop oprh rhjñ jñ qu qumm mc ëe ëeiuc iuch h `m rm rmlc lcmx mxdñ dñe e ms di diukc ukc kc `m de dead ad`m `mea eadk dk..  phstmrdhrometm, sm `dspush modshr y mc rmampthr lrmetm k lrmetm pkrk mc mstu`dh `m cks he`ks mstkadhek mstkad hekrdk rdkss y `mtmro `mtmrodek dekrr ck cheidt cheidtu` u` `m he`k. he`k. Vhr þctdoh, þctdoh, sm utd utdcdz cdzñ ñ uek cëodek cëodek ahe rme`dnks y sm mstu`dñ ck detmrlmrmeadk `m odarhhe`ks k trkväs `m mcck.

Detrh`uaadñe Cks he`ks mcmatrhokieätdaks tdmeme ck prhpdm`k` `m prhpkikrsm me lhrok `m vhctknm h ahrrdmetm phr ue om`dh iudk`h h me mc mspkadh cdjrm ahoh he`k mcmatrhokieätdak. Ck akrkatmrïstdak msmeadkc `m mstm tdph `m he`ks ms qum eh emamsdtke `m ue om`dh me mspmadkc  pkrk prhpkikrsm, msth qudmrm `madr qum ch pum`me bkamr me mc vkaïh. Cks smûkcms `m odarhhe`ks sm ujdake me mc mspmatrh mcmatrhokieätdah me mc rkeih `m 166 Obz k 166 IBz, msth msthss rkei rkeihs hs `m lrma lrmaum umea eadk dk bk bkam ame e qu qumm ck ckss od odar arhh hhe` e`ks ks tm tmei eike ke Chei Cheidt dtu` u` `m he he`k `k rmcktdvkometm ahrtk. Qupheme ue pmrïh`h `m hsadckadñe `m 1 es (1Ù;6-4 s) k 1 ps (1Ù;6-;: s) y uek cheidtu` `m he`k me mc rkeih `m ; o k ; oo. Me mc prmsmetm delhrom sm kekcdzk mc ahophrtkodmeth `m cks he`ks, oës ahearmtkometm cks odarhhe`ks, ahe mc lde `m ahoprhjkr `m okemrk mxpmrdometkc cks cmyms qum cks rdmiume.

Okrah tmñrdah

Cmy `m Zmlcmxdñe

 

]e rkyh dead`metm shjrm uek supmrldadm rmlcmatketm, smrë rmlcmnk`h ahe ue ëeiuch diukc kc ëeiuch `m dead`meadk. Kojhs ëeiuchs sm od`me ahe rmspmath k ck ehrokc k ck supmrldadm. Mstk cmy `m ck rmlcmxdñe sm pum`m pum` m `mrdvkr `mc prdeadpdh `m Lmrokt. Me ck sdiudmetm dokime sm kprmadk mc lmeñomeh `m rmlcmxdñe.

Vrdeadpdh `m Lmrokt>

Ck cheidtu` `m trkymathrdk `m K k J ms  C? ∞ ( k:+ x: ) + ∞ ( j:+ ( ` √ x ): ) @k`h qum ck vmchad`k` ms ahestketm, ck trkymathrdk me mc tdmoph oïedoh ms sdopcmometm mc akodeh `m `dstkeadk oïedok. Msth sm pum`m akcauckr om`dketm ck hjtmeadñe `m ck `mrdvk`k `m C ahe rmspmath k x, m diukcke`h k amrh

`C ;  ? `x :

: x

∞ ( k + x ) :

:

+

; : ( ` √ x ) ( √; ) :

∞ ( j + ( ` √ x ) ) :

Msth sm rm`uam k

  ( ` √ x ) ∞ ( k: + x ) ∞ (j :+ ( ` √ x ): )  x

? :

[um ms sde βd? sde β r

He`ks Mstkadhekrdks

:

?6

 

]ek he`k mstkadhekrdk sm lhrok phr ck detmrlmrmeadk `m `hs he`ks `m ck odsok ekturkcmzk ahe diukc kopcdtu`, cheidtu` `m he`k (h lrmaumeadk) qum kvkezke me smetd`h hpumsth k trkväs `m ue om`dh. ]ek he`k mstkadhekrdk sm pum`m lhrokr phr ck suok `m uek he`k y su he`k rmlcmnk`k shjrm ue odsoh mnm (x h y). Metheams, sd uek he`k cdemkc kroñedak dead`metm  Kd  sm supmrphem ahe su rmlcmnk`h  Kr , ck he`k rmsuctketm ms  K

 K ( r , t )? K d ( r ; , t ) + K r ( r : , t ) ( ;) Ahesd`mrke`h qum haurrm k ch ckrih `mc mnm √ x   y qum cks kopcdtu`ms kopcdtu`ms `m cks `hs he`ks she diukcms, sm hjtdmem

(  )

 K ? K sme τ t √ @he`m g ?

(  )

 x  x + K ahs τ t + ?: K sme gx sme τt (: ) a a

: φ    y  η  ms ck cheidtu` `m he`k.

 η

Qmiþe ck maukadñe `m K, mstk sm keuck auke`h gx ?e η , pkrk vkchrms `m

 x ?e   η  y ∌ x ? η ( 1 ) :

:

Ahe ch ketmrdhr, od`dme`h ck `dstkeadk ∌ x  metrm `hs oïedohs `m detmesd`k` sm pum`m meahetrkr qum  η ?: ∌ x .

Omth`hchiïk Mc mqudph mxpmrdometkc mxpmrdometkc mopcmk`h mopcmk`h pkrk mstk prëatdak ahesdstm ahesdstm `m ue modshr modshr `m odarhhe`ks, odarhhe`ks, ue rmampthr `m odarhhe`ks y pckaks omtëcdaks. Mc modshr imemrk he`ks mcmatrhokieätdaks `m uek lrmaum lrmaumead eadkk kprhxd kprhxdok` ok`kk `m ;6.=:= ;6.=:= IBz y mc rmampt rmampthr hr `mtmat `mtmatkk jknh jknh trms trms msakck msakckss `m smesdjdcd`k`. Cks pckaks omtëcdaks bkame mc pkpmc `m mspmnhs pkrk mstm tdph `m he`ks. Ohetknms pkrk ak`k uek `m cks prëatdaks rmkcdzk`ks> ;. Cmy `m rmlcmxdñe> Me mstk pkrtm sm `mjm `m ahoprhjkr qum mc ëeiuch rmlcmnk`h ms diukc kc ëeiuch `m dead`meadk. Mc mqudph pkrk ahoprhjkr ck cmy `m rmlcmxdñe ahestk `m modshr y rmampthr `m odarhhe`ks y uek pckak omtëcdak qum lueadhek ahoh mspmnh. Mc mqudph sm `dsphem ahoh sm oumstrk me ck Ldiurk ;.

Ldiurk ;. Cmy `m rmlcmxdñe

 

:. He`ks mstkadhekrdks> Mc mqudph utdcdzk`h pkrk mc mstu`dh `m cks he`ks mstkadhekrdks ahestk `mc modshr, rmampthr `m odarhhe`ks y ck rmick `mc ihedñomtrh. Mc mqudph sm `dsphem ahoh sm oumstrk me ck Ldiurk :.

Ldiurk :. He`ks mstkadhekrdks

1. Detmrlmrmeadks he`ks mstkadhekrdks> Mc mqudph pkrk ahoprhjkr ck detmrlmrmeadk me he`ks mstkadhekrdks ahestk `mc modshr, rmampthr `m odarhhe`ks y uek pckak omtëcdak ahe rme`dnks. Mc mqudph sm `dsphem ahoh sm oumstrk me ck Ldiurk 1.

Ldiurk 1. Detmrlmrmeadks he`ks mstkadhekrdks

Zmsuctk`hs

;. Cmy Cmy `m rm rmlc lcmx mxdñ dñe> e> Vkrk mstk prëatdak sm rmkcdzk mc ohetknm `m ck ldiurk ; pkrk ahoprhjkr qum mc ëeiuch `m dead`meadk rmspmath k ck ehrokc ms diukc kc ëeiuch rmlcmnk`h7 sm hrikedzkrhe chs `kths mxtrkï`hs `m ck prëatdak me ck tkjck ;.

 

Pkjck ;

Keiuch `mc ˞ modshr (Ѻd )

Keiuch `mc ˞ rmampthr (Ѻr )

@dstkeadk Modshr (Ao)

@dstkeadk Zmampthr (Ao)

Qmûkc akptk`k

(oK) 0= 0= :6 :6 6.2 0= 1= :6 :6 6.12 0= == :6 :6 6.12 0= 0= :6 16 6.0< 0= 0= 16 :6 6.0< Ahoh sm kprmadk, kc tmemr ëeiuchs diukcms ck smûkc akptk`k phr mc rmampthr tdmem ue vkchr  oëxd oë xdoh oh77 pm pmrh rh kc oh`d oh`dld ldak akrr mc ëe ëeiu iuch ch `m `mcc rm rmam ampt pthr hr ck sm smûk ûkcc ak akpt ptk` k`kk `d `dso sode deuy uymm ahesd`mrkjcmometm, ahe ch aukc sm ahoprumjk ck vmrkad`k` `m ck Cmy `m rmlcmxdñe.

:. He`ks mstkadhekrdks> Me mstk pkrtm sm prham`m k rmkcdzkr mc ohetknm `m ck ldiurk :  pkrk mc mstu`dh `m cks he`ks mstkadhekrdks. Ck tkjck : sm prmsmetke chs `kths `m ck  phsdadñe `m chs oëxdohs y ck `dstkeadk `ms`m mc modshr me ck qum sm meahetrkrhe.

 

Pkjck :

Vhsdadñe oëxdok

(R»6,;) ao

; ;6 ;=

96,= 2=,1 4:,:

Ahe jksm me ck tkjck y ck maukadñe (1) sm hjtdmem ck cheidtu` `m he`k pkrk ck odarhhe`ks.

 η ∌ x ? 7 η ?:∙∌ x :

Ck deamrtd`uojrm `m ck cheidtu` `m he`k sm `mtmrodek `m ck sdiudmetm okemrk>

| |

ΰη ?

∊η ΰR  ∊ R 

ΰη ?|:|ΰR  @m ch ketmrdhr sm tdmem

∌ x ;?2=.1 √96.=?;0.2 7 ∌ x :? 4:.:√96.=? :;.9  Msardjk kquï ck maukadñe . Pkjck 1

1. Detm Detmrlmrme rlmrmeadks adks he`ks mstkadhekrd mstkadhekrdks> ks> Qm rmkcdzk mc ohetknm `m ck ldiurk 1 y me ck tkjck 0 sm rmidstrñ mc eþomrh `m oëxdohs y chs ëeiuchs `he`m sm meaumetrke  phsdadhek`hs.

 

Pkjck 0

e ; : 1 -;

(Β»;) irk`h :6 06 //bypmrpbysdas.pbybp>//bypmrpbysdas.pbykstr.isu.m`u/bjksmms/pbyhpt/Lmrokt.btoc ]egehwe. (1; `m Memrh `m :6;1). Odarhhe`ks. Hjtmed`h `m Detrh`uaadñe k cks Odarhhe`ks > bp>//odarhhe`kskrehc`ckrk.jchispht.aho/:6;1/6;/detrh`uaadhe-cksodarhhe`ksX1;.btoc wdgdpm`dk. (9 `m Nuedh `m :6;4). Hjtmed`h `m bps>//ms.wdgdpm`dk. bps>//ms.wdgdpm`dk.hri/wdgd/He`kXmstkadhekrdk hri/wdgd/He`kXmstkadhekrdk