Physics 232 Exam I Feb. 13, 2006
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1 Phsics I Fe. 6 oc. ec # Ne..5 g ss is ched o hoizol spig d is eecuig siple hoic oio. The oio hs peiod o.59 secods. iiil ie i is oud o e 8.66 c o he igh o he equiliiu posiio d oig o he le wih eloci o sec. We e gie he ollowig iiil codiios: we he h.866 ees d s. Wh is he spig cos? We he h T.59 s. We poceed s ollows: T.59 dss.5 Ns Wh is he ol eeg o he sse? The ol eeg o he sse cosiss o he ieic eeg plus he poeil eeg. Tol K P Tol joule c Wh is he iu pliude o oscillio? The iu pliude occus whe ll he eeg is i he poeil eeg. Tol Tol. ees d Wh is he phse gle? The equios o oio e cos φ si φ we he.866 ees d s..866.cosφ. si φ This ields cos φ.866 si φ.5 The φ si φ cos φ φ.577
2 oc. ec # Ne. ioli sig o legh c d ss. g ies equec o Hz whe i is i he ouh hoic. We use h he is hoic is. Wh is he welegh? Fo sig h is ied oh eds he llowed weleghs is gie λ. Wh is he eloci o he wes o he sig? Theweelociisgie. ees λ. s c Wh is he esio i he sig? Theesioihesigiseledoheweeloci d he ss pe ui legh o he sig s T T. 8 Ns. d I he iu displcee is wh is he we ucio o he we? ice his is sdig we he we ucio is isheweuediisgie cos ssi λ..59c is gie 566 ds sec Wih. we he he. cos.59 si 566
3 oc. ec # Ne. uig o h is iig is llig io ie sh cos eloci. You oice h s he uig o psses ou he equec o he uig o h ou he deceses o 8 Hz o 8 Hz. We eed o eee h o ll siuios h he posiie sese o elociies is o he lisee o he souce. Wh is he speed o desce o he uig o? I his p o he pole he lisee hs. This hs wo ps o i: he uig o ppochig he lisee d ecedig o he lisee. ppochig he lisee: The eloci o he uig o is opposie o he sese o posiie elociies heeoe i ees s egie qui. s s s s s 8 Recedig o he lisee: The eloci o he uig o is ow i he se sese o posiie elociies heeoe i ees s posiie qui. s s s s s 8 We se hese wo equios equl o ech ohe o sole o he eloci s 8 s 8 8 s 8 s s s.56 s 66 The equec o he uig o c e oied o eihe o he wo oigil equios. Usig he is oe we he he uigo s s Hz The uig o geees es whe is iios e ied wih is echo o he oo o he pi. Wh is he e equec? This p o he pole hs wo seps o i: uig o o oo o pi d pi c o uig o. Hee he uig o is he souce d he pi loo is he lisee d he posiie sese o elociies is o he pi loo o he uig o so he uig o eloci ees s egie qui d he pi s eloci is zeo pi uigo Hz uigo.56 This is he equec h he pi loo hes d elecs. Hee he uig o is he lisee d he pi loo is he souce. Now he posiie sese o he eloci is o he uig o o he pi loo so he uig o s eloci he lisee ees s posiie qui. lso he souce eloci pi loo is zeo. uigo uigo pi Hz
4 The e equec is he dieece ewee he uig o s ue equec d wh i hes o he pi loo e uigo uigo Hz
5 . oc. ec # Ne. ligh oigies i dese li glss o ide o ecio.655. The ligh is icide o he glss-i iece. Wh is he gle o icidece o ol iel elecio? The ciicl gle is gie si ci wih < ci 7.7 uow liquid codeses o he suce o he glss. Tol iel elecio o he glss-liquid suce occus o gle o icidece o he glss-liquid iece o 5.7.Wh is he ecie ide o he uow liquid? We ow he si ci liquid glss liquid glss si ci.655 si 5.7. c Fo he gle o icidece oud i p wh is he gle o ecio o he io he liquid il? We ppl ell s w glss si glss liquid si liquid si liquid glss liquid si glss.655 si iquid
6 Phsics Foul hee iple Hoic Moio cos K P P T F Tol Tol φ Dopple ec Peiodic Moio si cos cos P e i i e λ ± Wes o ig iege T λ igh φ icide cos Polizio si si si Recio Relecio I I c eleced < lecogeic Wes B c I c B e ε Phsicl Coss g g C e T N C s c p e soud sec ε Useul Geoe Volue e el Volue e uce Cicueece e Clide phee Cicle
Physics 232 Exam I Feb. 14, 2005
Phsics I Fe., 5 oc. ec # Ne..5 g ss is ched o hoizol spig d is eecuig siple hoic oio wih gul eloci o dissec. gie is i ie i is oud o e 8 c o he igh o he equiliiu posiio d oig o he le wih eloci o.5 sec..
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